eigen because im a pussy
Brett
commit
d6b96ce14f
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cmake-build*/
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build/
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out/
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./cmake-build*/
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./build/
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./out/
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[submodule "lib/blt"]
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path = lib/blt
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url = https://github.com/Tri11Paragon/BLT.git
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# Default ignored files
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/shelf/
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/workspace.xml
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# Editor-based HTTP Client requests
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/httpRequests/
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# Datasource local storage ignored files
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/dataSources/
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/dataSources.local.xml
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<?xml version="1.0" encoding="UTF-8"?>
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<module classpath="CMake" type="CPP_MODULE" version="4" />
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="CMakePythonSetting">
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<option name="pythonIntegrationState" value="YES" />
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</component>
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<component name="CMakeWorkspace" PROJECT_DIR="$PROJECT_DIR$" />
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</project>
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="ProjectModuleManager">
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<modules>
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<module fileurl="file://$PROJECT_DIR$/.idea/COSC-4P80-Assignment-2.iml" filepath="$PROJECT_DIR$/.idea/COSC-4P80-Assignment-2.iml" />
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</modules>
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</component>
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</project>
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@ -0,0 +1,8 @@
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="VcsDirectoryMappings">
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<mapping directory="" vcs="Git" />
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<mapping directory="$PROJECT_DIR$/lib/blt" vcs="Git" />
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<mapping directory="$PROJECT_DIR$/lib/blt/libraries/parallel-hashmap" vcs="Git" />
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</component>
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</project>
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cmake_minimum_required(VERSION 3.28)
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project(COSC-4P80-Assignment-2 VERSION 0.0.2)
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option(ENABLE_ADDRSAN "Enable the address sanitizer" OFF)
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option(ENABLE_UBSAN "Enable the ub sanitizer" OFF)
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option(ENABLE_TSAN "Enable the thread data race sanitizer" OFF)
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option(EIGEN_TEST_CXX11 "Enable testing with C++11 and C++11 features (e.g. Tensor module)." ON)
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set(CMAKE_CXX_STANDARD 17)
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if (NOT CMAKE_BUILD_TYPE)
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set(CMAKE_BUILD_TYPE "Release")
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endif()
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add_subdirectory(lib/blt)
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add_subdirectory(lib/eigen-3.4.0)
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include_directories(include/)
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file(GLOB_RECURSE PROJECT_BUILD_FILES "${CMAKE_CURRENT_SOURCE_DIR}/src/*.cpp")
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add_executable(COSC-4P80-Assignment-2 ${PROJECT_BUILD_FILES})
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target_compile_options(COSC-4P80-Assignment-2 PRIVATE -Wall -Wextra -Wpedantic -Wno-comment)
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target_link_options(COSC-4P80-Assignment-2 PRIVATE -Wall -Wextra -Wpedantic -Wno-comment)
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target_link_libraries(COSC-4P80-Assignment-2 PRIVATE BLT Eigen3::Eigen)
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if (${ENABLE_ADDRSAN} MATCHES ON)
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target_compile_options(COSC-4P80-Assignment-2 PRIVATE -fsanitize=address)
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target_link_options(COSC-4P80-Assignment-2 PRIVATE -fsanitize=address)
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endif ()
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if (${ENABLE_UBSAN} MATCHES ON)
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target_compile_options(COSC-4P80-Assignment-2 PRIVATE -fsanitize=undefined)
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target_link_options(COSC-4P80-Assignment-2 PRIVATE -fsanitize=undefined)
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endif ()
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if (${ENABLE_TSAN} MATCHES ON)
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target_compile_options(COSC-4P80-Assignment-2 PRIVATE -fsanitize=thread)
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target_link_options(COSC-4P80-Assignment-2 PRIVATE -fsanitize=thread)
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endif ()
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@ -0,0 +1,285 @@
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#!/usr/bin/python3
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import subprocess
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import argparse
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import sys
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import os
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import itertools
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import requests
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import json
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from pathlib import Path
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#---------------------------------------
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# CONFIG
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#---------------------------------------
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VERSION_BEGIN_STR = " VERSION "
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VERSION_END_STR = ")"
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#---------------------------------------
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# DO NOT TOUCH
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#---------------------------------------
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USER_HOME = Path.home()
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ENVIRONMENT_DATA_LOCATION = USER_HOME / ".brett_scripts.env"
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if sys.platform.startswith("win"):
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CONFIG_FILE_DIRECTORY = Path(os.getenv('APPDATA') + "\BLT")
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CONFIG_FILE_LOCATION = Path(CONFIG_FILE_DIRECTORY + "\commit_config.env")
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else:
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XDG_CONFIG_HOME = os.environ.get('XDG_CONFIG_HOME')
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if XDG_CONFIG_HOME is None:
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XDG_CONFIG_HOME = USER_HOME / ".config"
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else:
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XDG_CONFIG_HOME = Path(XDG_CONFIG_HOME)
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if len(str(XDG_CONFIG_HOME)) == 0:
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XDG_CONFIG_HOME = USER_HOME
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CONFIG_FILE_DIRECTORY = XDG_CONFIG_HOME / "blt"
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CONFIG_FILE_LOCATION = CONFIG_FILE_DIRECTORY / "commit_config.env"
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class Config:
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def __init__(self):
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# Inline with semantic versioning it doesn't make sense to branch / release on minor
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self.branch_on_major = True
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self.branch_on_minor = False
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self.release_on_major = True
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self.release_on_minor = False
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self.main_branch = "main"
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self.patch_limit = -1
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def toJSON(self):
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return json.dumps(self, default=lambda o: o.__dict__, sort_keys=True, indent=4)
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def fromJSON(file):
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with open(file, "r") as f:
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j = json.load(f)
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obj = Config()
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[setattr(obj, key, val) for key, val in j.items() if hasattr(obj, key)]
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return obj
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def from_file(file):
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values = {}
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if (not os.path.exists(file)):
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return Config()
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with open(file, "r") as f:
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j = json.load(f)
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obj = Config()
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[setattr(obj, key, val) for key, val in j.items() if hasattr(obj, key)]
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return obj
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def save_to_file(self, file):
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dir_index = str(file).rfind("/")
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dir = str(file)[:dir_index]
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if not os.path.exists(dir):
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print(f"Creating config directory {dir}")
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os.makedirs(dir)
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with open(file, "w") as f:
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json.dump(self, f, default=lambda o: o.__dict__, sort_keys=True, indent=4)
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class EnvData:
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def __init__(self, github_username = '', github_token = ''):
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self.github_token = github_token
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self.github_username = github_username
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def get_env_from_file(file):
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f = open(file, "rt")
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values = {}
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for line in f:
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if line.startswith("export"):
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content = line.split("=")
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for idx, c in enumerate(content):
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content[idx] = c.replace("export", "").strip()
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values[content[0]] = content[1].replace("\"", "").replace("'", "")
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try:
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github_token = values["github_token"]
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except Exception:
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print("Failed to parse github token!")
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try:
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github_username = values["github_username"]
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except:
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print("Failed to parse github username! Assuming you are me!")
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github_username = "Tri11Paragon"
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return EnvData(github_username=github_username, github_token=github_token)
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def open_process(command, print_out = True):
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process = subprocess.Popen(command, stderr=subprocess.PIPE, stdout=subprocess.PIPE)
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stdout, stderr = process.communicate()
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exit_code = process.wait()
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str_out = stdout.decode('utf8')
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str_err = stderr.decode('utf8')
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if print_out and len(str_out) > 0:
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print(str_out, end='')
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if print_out and len(str_err) > 0:
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print(str_err, end='')
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#print(stdout, stderr, exit_code)
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return (stdout, stderr, exit_code)
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def load_cmake():
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cmake_file = open("CMakeLists.txt", 'r')
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cmake_text = cmake_file.read()
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cmake_file.close()
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return cmake_text
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def write_cmake(cmake_text):
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cmake_file = open("CMakeLists.txt", 'w')
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cmake_file.write(cmake_text)
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cmake_file.close()
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def get_version(cmake_text):
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begin = cmake_text.find(VERSION_BEGIN_STR) + len(VERSION_BEGIN_STR)
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end = cmake_text.find(VERSION_END_STR, begin)
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return (cmake_text[begin:end], begin, end)
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def split_version(cmake_text):
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version, begin, end = get_version(cmake_text)
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version_parts = version.split('.')
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return (version_parts, begin, end)
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def recombine(cmake_text, version_parts, begin, end):
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constructed_version = version_parts[0] + '.' + version_parts[1] + '.' + version_parts[2]
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constructed_text_begin = cmake_text[0:begin]
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constructed_text_end = cmake_text[end::]
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return constructed_text_begin + constructed_version + constructed_text_end
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def inc_major(cmake_text):
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version_parts, begin, end = split_version(cmake_text)
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version_parts[0] = str(int(version_parts[0]) + 1)
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version_parts[1] = '0'
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version_parts[2] = '0'
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return recombine(cmake_text, version_parts, begin, end)
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def inc_minor(cmake_text):
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version_parts, begin, end = split_version(cmake_text)
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version_parts[1] = str(int(version_parts[1]) + 1)
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version_parts[2] = '0'
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return recombine(cmake_text, version_parts, begin, end)
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def inc_patch(config: Config, cmake_text):
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version_parts, begin, end = split_version(cmake_text)
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if config.patch_limit > 0 and int(version_parts[2]) + 1 >= config.patch_limit:
|
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return inc_minor(cmake_text)
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version_parts[2] = str(int(version_parts[2]) + 1)
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return recombine(cmake_text, version_parts, begin, end)
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def make_branch(config: Config, name):
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print(f"Making new branch {name}")
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subprocess.call(["git", "checkout", "-b", name])
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subprocess.call(["git", "merge", config.main_branch])
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subprocess.call(["git", "checkout", config.main_branch])
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|
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def make_release(env: EnvData, name):
|
||||
print(f"Making new release {name}")
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repos_v = open_process(["git", "remote", "-v"])[0].splitlines()
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||||
urls = []
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for line in repos_v:
|
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origin = ''.join(itertools.takewhile(str.isalpha, line.decode('utf8')))
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||||
urls.append("https://api.github.com/repos/" + open_process(["git", "remote", "get-url", origin], False)[0].decode('utf8').replace("\n", "").replace("https://github.com/", "") + "/releases")
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urls = set(urls)
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data = {
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'tag_name': name,
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'name': name,
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'body': "Automated Release '" + name + "'",
|
||||
'draft': False,
|
||||
'prerelease': False
|
||||
}
|
||||
headers = {
|
||||
'Authorization': f'Bearer {env.github_token}',
|
||||
'Accept': 'application/vnd.github+json',
|
||||
'X-GitHub-Api-Version': '2022-11-28'
|
||||
}
|
||||
for url in urls:
|
||||
response = requests.post(url, headers=headers, data=json.dumps(data))
|
||||
if response.status_code == 201:
|
||||
print('Release created successfully!')
|
||||
release_data = response.json()
|
||||
print(f"Release URL: {release_data['html_url']}")
|
||||
else:
|
||||
print(f"Failed to create release: {response.status_code}")
|
||||
print(response.json())
|
||||
|
||||
|
||||
def main():
|
||||
parser = argparse.ArgumentParser(
|
||||
prog="Commit Helper",
|
||||
description="Help you make pretty commits :3")
|
||||
|
||||
parser.add_argument("action", nargs='?', default=None)
|
||||
parser.add_argument("-p", "--patch", action='store_true', default=False, required=False)
|
||||
parser.add_argument("-m", "--minor", action='store_true', default=False, required=False)
|
||||
parser.add_argument("-M", "--major", action='store_true', default=False, required=False)
|
||||
parser.add_argument('-e', "--env", help="environment file", required=False, default=None)
|
||||
parser.add_argument('-c', "--config", help="config file", required=False, default=None)
|
||||
parser.add_argument("--create_default_config", action="store_true", default=False, required=False)
|
||||
|
||||
args = parser.parse_args()
|
||||
|
||||
if args.env is not None:
|
||||
env = EnvData.get_env_from_file(args.e)
|
||||
else:
|
||||
env = EnvData.get_env_from_file(ENVIRONMENT_DATA_LOCATION)
|
||||
|
||||
if args.config is not None:
|
||||
config = Config.from_file(args.config)
|
||||
else:
|
||||
config = Config.from_file(CONFIG_FILE_LOCATION)
|
||||
|
||||
if args.create_default_config:
|
||||
config.save_to_file(args.config if args.config is not None else CONFIG_FILE_LOCATION)
|
||||
|
||||
cmake_text = load_cmake()
|
||||
cmake_version = get_version(cmake_text)[0]
|
||||
print(f"Current Version: {cmake_version}")
|
||||
|
||||
if not (args.patch or args.minor or args.major):
|
||||
try:
|
||||
if args.action is not None:
|
||||
type = args.action
|
||||
else:
|
||||
type = input("What kind of commit is this ((M)ajor, (m)inor, (p)atch)? ")
|
||||
|
||||
if type.startswith('M'):
|
||||
args.major = True
|
||||
elif type.startswith('m'):
|
||||
args.minor = True
|
||||
elif type.startswith('p') or type.startswith('P') or len(type) == 0:
|
||||
args.patch = True
|
||||
except KeyboardInterrupt:
|
||||
print("\nCancelling!")
|
||||
return
|
||||
|
||||
if args.major:
|
||||
print("Selected major")
|
||||
write_cmake(inc_major(cmake_text))
|
||||
elif args.minor:
|
||||
print("Selected minor")
|
||||
write_cmake(inc_minor(cmake_text))
|
||||
elif args.patch:
|
||||
print("Selected patch")
|
||||
write_cmake(inc_patch(config, cmake_text))
|
||||
|
||||
subprocess.call(["git", "add", "*"])
|
||||
subprocess.call(["git", "commit"])
|
||||
|
||||
cmake_text = load_cmake()
|
||||
version_parts = split_version(cmake_text)[0]
|
||||
if args.major:
|
||||
if config.branch_on_major:
|
||||
make_branch(config, "v" + str(version_parts[0]))
|
||||
if args.minor:
|
||||
if config.branch_on_minor:
|
||||
make_branch(config, "v" + str(version_parts[0]) + "." + str(version_parts[1]))
|
||||
|
||||
subprocess.call(["sh", "-c", "git remote | xargs -L1 git push --all"])
|
||||
|
||||
if args.major:
|
||||
if config.release_on_major:
|
||||
make_release(env, "v" + str(version_parts[0]))
|
||||
if args.minor:
|
||||
if config.release_on_minor:
|
||||
make_release(env, "v" + str(version_parts[0]) + "." + str(version_parts[1]))
|
||||
|
||||
if __name__ == "__main__":
|
||||
main()
|
||||
File diff suppressed because one or more lines are too long
|
|
@ -0,0 +1,54 @@
|
|||
53 150
|
||||
0 14.62 21.53 1.97 0.84 0.52 0.51 0.42 0.30 0.53 2.13 2.82 0.89 1.55 1.50 0.91 0.96 0.93 1.47 1.68 0.94 1.25 0.59 1.00 0.53 0.84 0.45 0.39 0.31 0.31 0.33 0.49 0.32 0.65 0.43 0.38 0.22 0.25 0.30 0.37 0.50 0.55 0.57 0.52 0.43 0.35 0.28 0.26 0.23 0.25 0.27 0.24 0.28 0.30 0.45 0.41 0.50 0.45 0.52 0.60 0.63 0.59 0.74 0.79 0.86 0.83 1.01 1.24 1.53 1.67 1.64 1.37 1.38 1.11 1.01 0.91 0.90 0.99 0.93 0.88 0.87 1.28 1.10 0.44 0.93 0.81 1.58 1.92 2.28 2.38 2.83 3.13 3.56 2.57 2.06 1.41 1.04 0.98 0.77 0.72 0.70 0.59 0.58 0.56 0.53 0.53 0.49 0.48 0.45 0.38 0.37 0.36 0.32 0.31 0.29 0.30 0.30 0.32 0.36 0.40 0.41 0.42 0.40 0.49 0.60 0.62 0.69 0.73 1.02 1.12 1.19 1.11 1.05 1.05 1.15 1.19 1.18 1.23 1.13 1.11 1.22 1.45 1.77 2.22 2.64 2.79 2.85 2.54 2.58 2.41 2.31
|
||||
0 11.48 15.18 2.06 1.53 0.85 0.78 0.70 0.63 1.07 2.28 4.34 1.27 2.82 1.90 2.01 2.08 1.27 1.39 1.02 0.58 0.65 0.51 0.88 0.44 0.63 0.78 0.57 0.45 0.38 0.50 0.66 0.48 0.85 0.57 0.43 0.27 0.28 0.26 0.22 0.28 0.36 0.74 0.55 0.41 0.36 0.31 0.27 0.29 0.26 0.31 0.28 0.33 0.37 0.41 0.37 0.47 0.52 0.49 0.53 0.56 0.64 0.71 0.83 0.93 0.95 1.08 1.10 1.25 1.32 1.33 1.17 1.16 1.09 0.83 0.68 0.83 0.83 0.90 0.96 1.08 1.59 1.43 0.41 0.49 0.81 1.36 1.83 2.54 2.65 2.19 2.27 1.98 1.69 1.31 1.18 0.93 0.79 0.69 0.61 0.56 0.55 0.54 0.49 0.44 0.44 0.40 0.40 0.39 0.36 0.39 0.34 0.32 0.32 0.32 0.32 0.30 0.32 0.32 0.31 0.31 0.32 0.30 0.29 0.32 0.39 0.40 0.47 0.57 0.72 0.86 1.04 1.19 1.25 1.14 1.19 1.16 1.00 0.97 0.97 0.85 0.88 1.05 1.13 1.44 1.82 1.94 1.77 1.76 1.53 1.30
|
||||
0 13.71 16.05 1.97 0.89 0.62 0.50 0.51 0.40 0.85 2.33 4.06 1.28 2.85 2.17 1.07 1.43 1.13 1.65 1.19 0.52 1.23 1.50 1.62 0.70 0.56 0.33 0.31 0.29 0.31 0.38 0.70 0.37 0.73 0.60 0.30 0.18 0.20 0.23 0.24 0.30 0.26 0.27 0.34 0.36 0.55 0.31 0.28 0.29 0.26 0.23 0.21 0.24 0.27 0.26 0.33 0.27 0.28 0.27 0.33 0.33 0.36 0.49 0.54 0.63 0.85 1.10 1.05 0.88 1.13 0.99 0.82 0.80 0.69 0.58 0.57 0.59 0.61 0.68 0.68 0.82 1.22 0.66 0.40 0.83 1.10 0.67 1.44 2.13 2.51 2.55 2.20 1.75 1.67 1.13 0.88 0.69 0.61 0.54 0.49 0.47 0.44 0.39 0.39 0.36 0.36 0.37 0.34 0.34 0.29 0.29 0.34 0.37 0.39 0.46 0.48 0.47 0.40 0.35 0.34 0.34 0.37 0.43 0.46 0.52 0.56 0.49 0.51 0.51 0.54 0.57 0.60 0.72 1.03 1.31 1.15 1.01 0.87 0.85 0.89 0.94 1.10 1.17 1.37 1.84 2.05 1.96 1.84 1.86 2.07 2.22
|
||||
0 12.77 19.30 1.95 1.20 0.60 0.81 0.74 0.59 1.46 3.38 5.94 4.46 4.24 5.10 2.79 3.26 1.33 1.53 0.98 0.53 0.88 0.51 1.48 0.98 0.74 0.60 0.37 0.32 0.33 0.46 0.65 0.37 0.73 0.43 0.32 0.21 0.20 0.23 0.27 0.36 0.52 0.68 0.71 0.41 0.39 0.27 0.24 0.25 0.22 0.24 0.30 0.32 0.36 0.35 0.42 0.37 0.44 0.37 0.36 0.42 0.48 0.55 0.74 0.89 1.11 1.06 1.11 0.99 0.91 0.87 0.84 0.79 0.78 0.73 0.77 0.69 0.68 0.78 0.82 0.98 0.96 1.11 1.26 1.10 0.34 0.50 1.20 2.06 2.45 2.99 2.70 2.19 1.75 1.38 1.14 0.87 0.75 0.70 0.57 0.56 0.49 0.46 0.40 0.39 0.37 0.36 0.37 0.37 0.37 0.34 0.30 0.32 0.32 0.32 0.38 0.34 0.30 0.34 0.36 0.42 0.42 0.47 0.61 0.66 0.71 0.74 0.77 0.80 0.78 0.84 0.83 1.06 1.38 1.45 1.22 1.09 0.97 1.03 1.13 1.21 1.28 1.47 1.84 2.12 2.34 2.64 2.72 2.61 2.50 2.33
|
||||
0 11.84 19.16 2.06 1.26 0.72 0.67 0.74 0.64 1.10 3.40 6.85 2.63 3.49 3.32 1.98 3.47 2.31 1.56 1.10 0.63 0.94 0.54 1.32 0.56 0.48 0.42 0.36 0.49 0.52 0.60 0.57 0.28 0.92 0.34 0.32 0.23 0.24 0.22 0.21 0.24 0.28 0.54 1.21 0.48 0.34 0.28 0.25 0.22 0.20 0.25 0.23 0.24 0.26 0.31 0.32 0.29 0.35 0.36 0.37 0.39 0.42 0.52 0.68 0.87 0.95 1.02 1.07 0.95 1.03 1.06 0.96 0.91 0.91 0.86 0.79 0.82 0.78 0.81 0.91 0.97 1.09 1.38 0.50 0.58 1.06 1.52 1.65 0.86 1.59 2.47 2.41 1.77 1.41 1.25 1.16 1.01 0.82 0.68 0.62 0.55 0.50 0.46 0.46 0.46 0.48 0.50 0.51 0.53 0.48 0.48 0.48 0.53 0.55 0.57 0.49 0.45 0.39 0.37 0.38 0.47 0.44 0.49 0.55 0.59 0.66 0.69 0.75 0.78 0.86 1.03 1.27 1.53 1.72 1.99 1.96 1.74 1.43 1.42 1.25 1.29 1.33 1.27 1.32 1.31 1.32 1.33 1.70 1.91 1.94 1.66
|
||||
0 13.19 21.60 2.90 2.51 1.28 1.64 1.33 1.01 1.78 4.22 8.27 4.65 3.67 5.14 2.49 3.39 1.88 1.76 1.37 0.87 1.04 0.84 2.47 1.75 1.07 0.91 0.63 0.64 0.67 0.76 0.83 0.57 1.09 0.67 0.54 0.39 0.43 0.39 0.42 0.44 0.49 0.72 1.17 1.00 0.69 0.48 0.43 0.44 0.38 0.43 0.43 0.43 0.49 0.45 0.54 0.59 0.56 0.61 0.67 0.65 0.74 0.93 1.08 1.33 1.52 1.57 1.55 1.60 1.67 1.58 1.55 1.54 1.46 1.34 0.99 0.81 0.82 0.87 1.00 1.37 0.96 0.39 0.77 1.34 1.57 0.80 1.59 1.98 2.04 2.25 2.24 1.99 1.61 1.38 1.09 1.03 0.92 0.75 0.69 0.63 0.58 0.52 0.52 0.57 0.53 0.51 0.52 0.46 0.44 0.43 0.42 0.44 0.42 0.43 0.44 0.42 0.40 0.42 0.41 0.42 0.44 0.47 0.49 0.51 0.50 0.58 0.54 0.61 0.69 0.82 0.97 1.23 1.51 1.68 1.70 1.51 1.43 1.25 1.22 1.22 1.14 1.17 1.04 1.15 1.11 1.26 1.24 1.40 1.44 1.59
|
||||
0 12.09 21.82 1.81 0.81 0.36 0.43 0.64 0.49 1.17 2.91 7.69 7.12 3.55 4.06 1.38 2.06 1.62 1.41 0.94 0.51 0.84 0.47 3.01 1.40 0.90 0.62 0.37 0.39 0.42 0.54 0.68 0.42 0.98 0.50 0.66 0.44 0.36 0.31 0.24 0.22 0.25 0.35 0.94 0.47 0.54 0.30 0.26 0.27 0.22 0.23 0.26 0.32 0.27 0.29 0.34 0.32 0.32 0.41 0.47 0.47 0.55 0.70 0.94 1.23 1.63 1.39 1.75 2.05 1.69 1.27 1.32 1.36 1.12 0.90 0.85 0.87 1.00 0.94 0.98 0.89 1.03 1.29 1.57 1.69 1.21 1.47 2.50 2.79 2.94 2.58 2.26 2.10 1.86 1.72 1.49 1.22 1.06 0.89 0.78 0.70 0.70 0.67 0.60 0.55 0.55 0.55 0.51 0.52 0.54 0.56 0.55 0.51 0.50 0.51 0.50 0.51 0.52 0.57 0.69 0.72 0.76 0.89 0.99 1.15 1.20 1.25 1.33 1.35 1.65 1.81 1.80 1.88 2.16 2.04 1.98 1.54 1.17 1.15 1.25 1.39 1.61 1.73 1.78 1.84 1.81 2.14 2.42 2.66 3.22 3.01
|
||||
0 13.15 22.24 2.16 1.06 0.63 0.65 0.57 0.49 0.76 2.02 2.22 1.04 2.09 1.11 0.94 1.46 1.23 2.55 1.48 0.68 1.53 1.45 1.09 0.73 0.66 0.46 0.40 0.38 0.42 0.46 0.59 0.43 0.85 0.56 0.34 0.27 0.32 0.40 0.46 0.55 0.50 0.65 0.94 0.48 0.41 0.25 0.24 0.26 0.28 0.34 0.39 0.38 0.37 0.40 0.44 0.46 0.39 0.40 0.43 0.54 0.60 0.79 0.81 0.90 1.18 1.27 1.28 1.39 1.21 1.06 1.05 1.04 0.95 0.95 0.87 0.75 0.75 0.79 0.88 0.96 1.19 0.42 0.81 1.08 1.38 0.77 1.21 1.94 2.23 2.33 2.29 2.73 3.17 2.42 1.85 1.43 1.27 0.95 0.80 0.67 0.57 0.53 0.53 0.48 0.46 0.42 0.42 0.39 0.37 0.35 0.35 0.38 0.37 0.38 0.39 0.36 0.40 0.41 0.39 0.39 0.38 0.36 0.36 0.38 0.44 0.55 0.67 0.94 1.35 1.67 1.83 1.87 1.59 1.35 1.14 1.04 1.10 1.10 1.11 1.11 1.09 1.10 1.20 1.43 1.40 1.60 1.64 1.70 1.95 1.98
|
||||
0 13.13 21.12 3.16 2.00 1.37 1.16 0.97 0.76 1.05 2.21 4.14 1.62 3.27 1.92 1.71 1.94 1.22 1.46 0.91 0.86 1.18 1.19 1.08 0.74 0.57 0.49 0.48 0.47 0.58 0.67 0.94 0.71 1.19 0.90 0.53 0.31 0.28 0.30 0.31 0.38 0.40 0.62 0.76 0.59 0.48 0.30 0.28 0.28 0.30 0.36 0.37 0.35 0.43 0.42 0.49 0.50 0.48 0.51 0.57 0.66 0.71 0.87 0.89 1.17 1.40 1.45 1.34 1.60 1.69 1.93 1.77 1.57 1.25 1.01 1.04 1.02 0.99 1.10 1.29 1.20 0.43 0.80 1.42 1.37 0.76 2.21 2.88 2.57 2.94 2.89 2.42 1.87 1.30 1.04 0.87 0.69 0.66 0.63 0.60 0.61 0.61 0.59 0.57 0.55 0.47 0.39 0.33 0.31 0.30 0.30 0.30 0.33 0.38 0.41 0.45 0.43 0.46 0.47 0.50 0.50 0.53 0.60 0.74 0.71 0.76 0.82 0.74 0.80 0.89 1.07 1.18 1.31 1.33 1.12 0.94 0.87 0.82 0.83 0.88 0.93 1.06 1.14 1.31 1.57 1.76 2.04 2.01 2.34 2.37 2.31
|
||||
0 12.12 17.07 1.59 0.78 0.51 0.53 0.53 0.46 0.83 2.97 5.54 3.26 3.19 3.66 1.73 2.06 0.81 1.69 1.30 0.69 0.79 0.75 1.86 1.27 1.08 0.44 0.32 0.30 0.34 0.41 0.38 0.26 0.71 0.38 0.34 0.20 0.20 0.20 0.19 0.21 0.25 0.49 0.43 0.28 0.30 0.23 0.24 0.22 0.26 0.24 0.26 0.27 0.32 0.39 0.50 0.49 0.57 0.58 0.63 0.60 0.59 0.62 0.56 0.59 0.57 0.66 0.69 0.76 0.81 0.88 0.96 1.21 1.31 0.70 0.95 1.08 1.19 1.31 1.40 1.35 1.05 0.48 0.85 1.31 0.60 1.60 2.01 2.04 1.90 1.74 1.59 1.26 1.08 0.88 0.76 0.67 0.59 0.50 0.46 0.46 0.48 0.46 0.49 0.49 0.57 0.59 0.68 0.66 0.62 0.65 0.64 0.63 0.67 0.64 0.51 0.47 0.44 0.41 0.43 0.44 0.51 0.53 0.58 0.67 0.73 0.80 0.83 0.92 1.08 1.34 1.60 1.97 1.97 1.80 1.68 1.96 1.90 1.91 1.80 1.94 1.75 1.81 1.92 2.01 2.41 2.54 2.86 3.06 3.03 3.05
|
||||
0 12.92 20.14 2.09 1.50 0.73 0.72 0.71 0.61 1.12 2.96 6.30 2.50 2.24 1.96 1.72 2.35 1.39 1.61 2.13 1.11 1.20 0.73 1.68 0.72 0.58 0.47 0.41 0.38 0.47 0.73 1.28 1.07 2.06 1.24 0.59 0.40 0.39 0.47 0.45 0.50 0.45 0.71 1.52 0.67 0.54 0.41 0.38 0.36 0.36 0.38 0.33 0.37 0.38 0.37 0.40 0.38 0.42 0.46 0.46 0.48 0.51 0.57 0.75 0.88 0.99 1.19 1.22 1.08 1.04 1.18 1.27 1.08 1.11 1.06 1.04 0.84 0.88 0.95 1.07 1.15 1.31 1.89 1.45 0.43 1.05 0.78 1.47 2.08 2.71 3.24 3.41 2.57 1.94 1.68 1.50 1.33 1.27 1.17 1.00 0.91 0.79 0.83 0.75 0.68 0.59 0.54 0.44 0.49 0.46 0.42 0.46 0.50 0.54 0.55 0.55 0.51 0.47 0.48 0.56 0.62 0.63 0.73 0.71 0.67 0.64 0.61 0.61 0.57 0.60 0.66 0.75 0.91 1.05 1.05 0.96 0.85 0.80 0.80 0.87 0.96 1.08 1.13 1.12 1.24 1.42 1.43 1.27 1.50 1.60 1.71
|
||||
0 13.74 20.45 1.94 1.01 0.65 0.62 0.54 0.45 0.92 2.12 4.50 1.78 2.56 1.65 0.81 1.47 1.13 1.32 1.00 0.79 0.72 0.97 0.75 0.55 0.53 0.45 0.38 0.42 0.49 0.58 1.03 1.03 1.46 1.28 0.92 0.52 0.40 0.30 0.28 0.34 0.58 0.65 1.18 0.91 0.58 0.49 0.44 0.43 0.44 0.50 0.37 0.44 0.43 0.40 0.44 0.53 0.54 0.53 0.55 0.56 0.57 0.62 0.73 1.01 1.27 1.44 1.73 1.80 1.93 1.68 1.82 1.87 1.90 1.72 1.47 1.13 1.32 1.22 1.33 1.37 1.40 1.03 0.77 1.18 1.55 1.65 1.34 1.80 2.92 3.43 2.91 2.89 2.37 1.95 1.93 1.47 1.04 0.87 0.76 0.75 0.78 0.79 0.91 0.94 0.96 0.93 0.81 0.63 0.63 0.58 0.45 0.45 0.44 0.44 0.43 0.44 0.38 0.34 0.36 0.35 0.38 0.35 0.38 0.43 0.45 0.52 0.63 0.70 0.77 0.93 1.22 1.56 1.60 1.41 1.20 1.07 1.07 0.91 0.90 0.85 0.96 1.02 1.19 1.13 1.26 1.54 1.70 1.96 2.24 2.51
|
||||
0 9.12 25.30 3.67 2.11 1.55 1.12 1.02 0.81 1.09 3.00 4.85 3.32 1.91 2.37 2.02 2.23 1.17 1.75 1.24 1.10 1.39 0.78 0.91 0.74 0.58 0.48 0.43 0.40 0.46 0.54 0.76 0.57 1.01 1.47 0.69 0.34 0.30 0.32 0.41 0.51 0.47 0.51 0.79 0.85 0.87 0.41 0.36 0.32 0.29 0.34 0.34 0.33 0.41 0.43 0.50 0.42 0.55 0.48 0.53 0.53 0.53 0.55 0.75 0.90 1.08 1.28 1.49 1.35 1.49 1.56 1.58 1.63 1.42 1.38 1.16 1.05 0.91 0.90 0.93 1.13 1.17 1.69 0.58 0.92 0.97 1.29 2.23 2.44 3.00 3.57 3.43 3.09 2.77 2.05 1.72 1.28 1.10 0.89 0.87 1.00 1.04 1.09 1.20 1.21 1.00 0.87 0.79 0.71 0.69 0.63 0.59 0.55 0.54 0.46 0.43 0.41 0.43 0.47 0.52 0.63 0.67 0.79 0.98 1.26 1.41 1.51 1.52 1.39 1.39 1.39 1.36 1.52 1.65 1.58 1.52 1.56 1.73 1.70 1.80 1.84 2.03 2.15 2.85 3.29 3.83 4.56 4.24 4.13 3.77 3.31
|
||||
0 11.91 20.77 1.75 1.19 0.47 0.60 0.59 0.42 0.87 3.34 6.18 1.66 2.60 1.95 2.49 2.10 1.76 2.58 1.83 0.81 1.13 1.34 3.47 1.42 0.89 0.80 0.50 0.57 0.58 0.57 0.84 0.80 1.59 1.24 1.09 0.96 0.90 0.93 0.61 0.68 0.73 1.03 1.41 0.88 0.53 0.62 0.62 0.73 0.78 0.95 0.92 0.97 0.97 0.93 0.79 0.80 0.71 0.92 1.02 1.04 1.19 1.38 1.82 1.96 2.26 2.05 2.07 1.64 1.48 1.51 1.24 1.33 1.24 0.89 1.11 1.20 1.16 1.06 0.93 1.08 1.44 1.82 2.08 2.06 1.98 0.96 1.69 2.58 3.37 3.88 2.92 1.72 0.99 1.91 1.52 1.09 0.77 0.59 0.49 0.43 0.45 0.42 0.44 0.50 0.55 0.53 0.54 0.57 0.48 0.50 0.47 0.42 0.38 0.37 0.35 0.33 0.31 0.31 0.37 0.40 0.46 0.43 0.42 0.44 0.48 0.53 0.61 0.78 0.87 1.03 1.25 1.23 1.27 1.28 1.07 0.96 0.92 0.99 0.99 1.11 1.14 1.17 1.15 1.21 1.31 1.69 1.86 2.14 2.29 2.04
|
||||
0 28.69 28.08 4.03 3.08 2.14 2.00 1.53 1.39 2.07 3.19 4.14 1.88 2.62 3.52 2.32 2.47 1.56 1.58 1.17 0.81 0.90 1.94 2.26 0.93 0.82 0.69 0.66 0.50 0.54 0.72 0.54 0.92 0.99 0.67 0.41 0.40 0.34 0.36 0.37 0.42 0.69 0.81 0.58 0.63 0.48 0.38 0.32 0.34 0.32 0.35 0.36 0.35 0.34 0.36 0.40 0.45 0.45 0.43 0.49 0.53 0.59 0.71 0.90 1.10 1.10 1.06 0.85 0.93 0.98 0.95 1.01 0.95 0.95 0.77 0.85 0.88 0.82 0.87 0.83 0.85 1.12 1.42 1.29 0.38 0.96 0.94 0.94 1.57 2.31 2.34 2.08 1.60 1.32 0.96 0.78 0.74 0.65 0.55 0.48 0.45 0.37 0.36 0.40 0.38 0.38 0.40 0.41 0.35 0.34 0.35 0.36 0.43 0.40 0.40 0.38 0.39 0.38 0.34 0.38 0.38 0.41 0.45 0.44 0.47 0.45 0.42 0.44 0.46 0.50 0.44 0.37 0.35 0.35 0.34 0.32 0.33 0.35 0.39 0.42 0.52 0.61 0.71 0.84 0.90 0.95 0.93 0.78 0.79 0.82 0.65
|
||||
0 24.50 25.96 2.62 1.86 1.23 1.45 1.11 1.12 1.88 2.84 4.30 2.26 3.64 4.06 3.32 3.62 2.38 2.44 1.28 0.93 0.87 1.14 1.32 1.42 1.41 1.01 1.08 0.66 0.81 0.86 0.82 1.23 1.32 0.70 0.35 0.41 0.36 0.35 0.38 0.36 0.60 0.84 0.95 0.96 0.67 0.40 0.33 0.30 0.30 0.28 0.32 0.36 0.41 0.40 0.47 0.47 0.47 0.47 0.52 0.67 0.70 0.58 0.73 0.88 1.21 1.46 1.56 1.47 1.14 0.83 0.88 0.82 0.80 0.81 0.79 0.84 0.87 0.88 0.86 1.10 1.65 1.25 0.68 0.64 1.14 1.65 1.79 2.15 2.22 1.89 1.67 1.40 0.98 0.96 0.88 0.83 0.81 0.78 0.59 0.57 0.48 0.42 0.37 0.33 0.30 0.28 0.26 0.24 0.27 0.29 0.28 0.27 0.31 0.31 0.31 0.28 0.24 0.25 0.24 0.26 0.26 0.28 0.29 0.29 0.29 0.31 0.34 0.35 0.36 0.37 0.37 0.41 0.43 0.42 0.39 0.40 0.39 0.37 0.39 0.41 0.42 0.53 0.60 0.66 0.78 0.72 0.71 0.65 0.55 0.57
|
||||
0 26.15 27.99 3.73 2.76 1.93 1.82 1.44 1.20 2.03 3.19 3.69 1.86 2.92 3.13 1.76 1.78 1.11 1.31 0.66 0.52 1.11 1.08 0.98 0.80 0.68 0.60 0.52 0.50 0.61 0.78 0.43 0.67 0.68 0.61 0.47 0.36 0.38 0.38 0.37 0.56 0.62 0.60 0.41 0.44 0.36 0.30 0.28 0.28 0.26 0.26 0.27 0.30 0.31 0.31 0.28 0.34 0.34 0.38 0.38 0.42 0.47 0.58 0.63 0.70 0.66 0.60 0.60 0.61 0.59 0.62 0.58 0.59 0.61 0.52 0.41 0.47 0.45 0.46 0.52 0.62 0.99 0.95 0.26 0.60 1.06 1.06 0.59 0.95 1.52 1.60 1.54 1.20 1.07 0.90 0.72 0.64 0.49 0.42 0.40 0.39 0.32 0.33 0.30 0.30 0.28 0.29 0.27 0.26 0.24 0.26 0.27 0.28 0.27 0.28 0.27 0.26 0.24 0.24 0.25 0.28 0.30 0.32 0.35 0.36 0.38 0.39 0.42 0.51 0.54 0.54 0.52 0.49 0.48 0.49 0.50 0.59 0.66 0.69 0.80 0.90 0.88 0.95 1.09 1.09 1.04 0.87 0.86 0.79 0.81 0.82
|
||||
0 23.35 25.82 4.06 3.22 1.95 2.14 1.52 1.19 1.68 3.44 5.61 1.95 3.19 3.52 2.68 2.45 1.37 1.32 0.82 0.74 0.83 0.92 1.59 1.23 1.03 0.85 0.76 0.59 0.64 0.72 0.53 0.74 0.75 0.54 0.41 0.40 0.39 0.41 0.37 0.35 0.40 0.71 0.70 0.80 0.46 0.37 0.32 0.30 0.34 0.31 0.31 0.30 0.34 0.35 0.44 0.45 0.39 0.46 0.50 0.58 0.72 0.77 0.91 1.00 1.43 1.24 1.45 1.38 1.16 1.08 0.91 0.80 0.81 0.62 0.76 0.85 0.71 0.78 0.80 0.96 1.15 0.32 0.79 1.28 1.05 0.79 1.88 2.21 2.18 1.98 1.78 1.25 1.09 0.94 0.86 0.79 0.65 0.54 0.57 0.53 0.48 0.39 0.39 0.37 0.37 0.34 0.36 0.31 0.30 0.31 0.33 0.33 0.34 0.38 0.35 0.36 0.32 0.38 0.44 0.51 0.51 0.52 0.57 0.63 0.66 0.74 0.84 0.82 0.71 0.68 0.71 0.79 0.95 1.21 1.34 1.52 1.20 1.07 0.87 0.97 1.21 1.60 2.08 2.51 2.50 2.57 2.41 2.17 2.02 1.91
|
||||
0 22.03 18.95 3.97 2.60 2.11 1.74 1.37 1.19 1.76 3.20 3.61 1.19 3.68 2.20 1.69 1.93 1.21 1.03 0.75 1.19 1.06 1.16 1.45 0.66 0.52 0.50 0.48 0.44 0.48 0.63 0.46 0.63 0.68 0.49 0.34 0.31 0.31 0.30 0.30 0.30 0.36 0.55 0.42 0.53 0.48 0.33 0.27 0.26 0.26 0.27 0.28 0.32 0.37 0.35 0.40 0.37 0.33 0.32 0.39 0.41 0.45 0.47 0.55 0.59 0.80 0.82 0.77 0.91 0.91 0.95 0.88 0.88 0.80 0.81 0.65 0.72 0.76 0.85 0.85 0.83 0.98 1.15 1.51 1.24 0.45 0.78 1.52 2.01 1.84 1.49 1.56 1.57 1.56 1.50 1.33 1.31 1.09 0.98 0.88 0.75 0.70 0.60 0.58 0.54 0.42 0.42 0.38 0.37 0.32 0.30 0.26 0.29 0.26 0.30 0.27 0.26 0.25 0.27 0.29 0.32 0.38 0.45 0.47 0.47 0.52 0.55 0.60 0.60 0.68 0.77 0.75 0.70 0.61 0.57 0.53 0.59 0.58 0.58 0.62 0.69 0.72 0.75 0.81 0.92 0.93 0.76 0.63 0.66 0.67 0.72
|
||||
0 25.75 22.63 4.36 3.11 2.60 2.04 1.68 1.55 1.91 2.72 5.64 1.40 3.49 1.74 1.87 1.33 0.92 0.84 0.72 1.08 1.09 1.13 0.89 0.73 0.57 0.55 0.52 0.42 0.45 0.56 0.40 0.56 0.65 0.45 0.37 0.34 0.33 0.32 0.33 0.38 0.49 0.46 0.40 0.41 0.34 0.34 0.31 0.28 0.26 0.29 0.27 0.30 0.28 0.29 0.31 0.31 0.32 0.33 0.37 0.40 0.47 0.60 0.70 0.72 0.75 0.76 0.62 0.49 0.53 0.56 0.53 0.52 0.66 0.74 0.68 0.60 0.48 0.52 0.57 0.74 0.97 0.64 0.44 0.80 0.84 0.50 0.96 1.49 1.70 1.53 1.60 1.34 1.05 0.82 0.71 0.59 0.49 0.39 0.42 0.37 0.34 0.33 0.33 0.34 0.31 0.32 0.31 0.32 0.30 0.34 0.37 0.35 0.35 0.32 0.31 0.33 0.33 0.30 0.30 0.28 0.33 0.34 0.36 0.38 0.41 0.41 0.46 0.49 0.43 0.53 0.56 0.72 0.75 0.76 0.70 0.59 0.40 0.36 0.35 0.46 0.59 0.77 0.99 1.11 1.05 1.04 1.00 1.09 1.05 1.08
|
||||
0 21.04 26.75 2.30 1.74 1.02 1.49 1.25 1.56 2.69 3.42 7.38 3.13 9.28 6.78 7.92 7.46 4.13 4.50 2.26 2.77 1.41 1.64 1.22 1.09 0.94 0.85 0.81 0.65 0.82 0.66 0.50 0.45 0.77 0.41 0.40 0.39 0.40 0.49 0.57 0.61 0.90 0.71 0.63 0.53 0.56 0.43 0.33 0.33 0.37 0.37 0.36 0.48 0.52 0.65 0.68 0.75 0.91 1.07 1.03 1.10 1.17 1.01 1.03 1.15 1.25 1.42 1.30 1.37 1.39 1.33 1.07 0.95 0.81 1.00 1.07 1.15 1.25 1.34 1.54 2.29 2.38 1.86 0.88 0.80 1.73 1.67 0.81 1.72 2.27 2.35 1.98 1.75 1.50 1.19 1.04 0.93 0.80 0.68 0.57 0.53 0.47 0.46 0.52 0.46 0.40 0.42 0.37 0.36 0.38 0.37 0.39 0.42 0.35 0.37 0.34 0.31 0.29 0.26 0.30 0.31 0.31 0.31 0.34 0.33 0.35 0.42 0.49 0.53 0.59 0.57 0.59 0.53 0.55 0.50 0.56 0.60 0.61 0.74 0.89 1.07 1.14 1.14 1.15 1.08 1.00 1.11 1.13 1.13 1.12 1.20
|
||||
0 24.83 20.67 2.14 1.45 0.82 0.88 0.73 0.62 0.93 2.95 2.87 0.82 2.26 2.09 1.29 1.22 1.01 1.19 0.73 0.61 0.88 1.27 0.94 0.50 0.49 0.35 0.32 0.27 0.30 0.33 0.27 0.39 0.69 0.31 0.26 0.26 0.23 0.22 0.21 0.21 0.35 0.47 0.41 0.51 0.31 0.23 0.19 0.21 0.18 0.19 0.22 0.24 0.29 0.26 0.30 0.39 0.30 0.31 0.43 0.51 0.51 0.73 0.90 1.15 1.00 0.81 0.80 1.02 0.89 0.63 0.79 0.78 0.70 0.57 0.49 0.62 0.69 0.63 0.59 0.67 0.86 1.45 1.94 1.17 0.38 0.84 1.32 1.81 1.91 2.10 2.04 1.49 1.14 1.00 0.87 0.69 0.61 0.61 0.55 0.53 0.47 0.42 0.41 0.43 0.47 0.50 0.48 0.45 0.43 0.44 0.41 0.40 0.44 0.47 0.47 0.42 0.37 0.42 0.54 0.61 0.73 0.83 1.03 1.08 0.94 0.91 0.88 0.89 0.95 1.15 1.27 1.22 1.21 1.28 1.28 1.38 1.47 1.56 1.66 1.57 1.54 1.37 1.46 1.62 1.88 2.45 2.76 3.28 3.38 3.19
|
||||
0 25.97 20.49 2.13 1.52 1.18 1.06 0.89 0.71 1.09 2.60 4.64 0.98 1.96 2.55 1.72 1.61 0.99 1.34 1.22 0.77 1.50 1.12 0.92 0.62 0.46 0.47 0.43 0.32 0.36 0.43 0.33 0.45 0.89 0.33 0.43 0.34 0.53 0.48 0.73 0.48 0.41 0.36 0.32 0.39 0.34 0.27 0.26 0.24 0.24 0.22 0.22 0.28 0.32 0.29 0.30 0.35 0.31 0.36 0.41 0.45 0.54 0.65 0.73 0.81 0.98 1.18 1.21 1.31 1.12 1.06 0.92 0.80 0.61 0.68 0.71 0.74 0.79 0.78 0.75 0.83 0.92 1.10 1.54 1.81 1.44 1.05 0.49 1.17 2.03 2.11 1.95 1.52 1.26 1.07 0.86 0.72 0.60 0.53 0.55 0.54 0.51 0.52 0.54 0.51 0.49 0.50 0.44 0.38 0.33 0.33 0.39 0.41 0.44 0.50 0.51 0.48 0.43 0.48 0.53 0.62 0.68 0.77 0.92 0.92 0.91 0.85 0.87 0.85 0.91 0.90 0.96 0.97 0.94 0.91 0.79 0.87 0.86 0.91 0.97 1.07 1.11 1.13 1.18 1.14 1.08 1.02 0.98 0.89 0.90 0.83
|
||||
0 26.74 26.60 2.29 1.29 0.99 0.95 0.71 0.56 0.93 2.18 3.42 1.15 3.03 2.14 1.22 1.37 0.85 1.17 1.08 1.32 0.91 1.00 1.24 0.57 0.47 0.43 0.38 0.36 0.32 0.50 0.35 0.76 0.70 0.55 0.35 0.28 0.27 0.36 0.54 0.87 0.88 0.58 0.38 0.52 0.34 0.30 0.31 0.31 0.27 0.25 0.30 0.30 0.36 0.32 0.35 0.41 0.37 0.40 0.52 0.56 0.59 0.80 0.75 0.92 1.39 1.48 1.75 1.54 1.37 1.05 0.98 0.79 0.68 0.78 0.68 0.70 0.71 0.72 0.77 0.81 1.06 1.15 0.38 0.88 0.65 1.10 1.89 2.12 2.01 1.90 1.74 1.34 1.19 0.97 0.78 0.65 0.59 0.52 0.49 0.48 0.47 0.45 0.41 0.40 0.34 0.30 0.28 0.29 0.24 0.26 0.27 0.32 0.33 0.38 0.44 0.47 0.51 0.58 0.59 0.61 0.51 0.45 0.45 0.45 0.40 0.44 0.46 0.46 0.44 0.47 0.44 0.48 0.47 0.44 0.46 0.40 0.42 0.43 0.48 0.51 0.56 0.64 0.78 0.90 1.14 1.09 0.97 0.88 0.86 0.81
|
||||
0 27.39 27.17 4.00 2.59 1.77 1.54 1.23 0.98 1.28 2.83 3.56 1.04 3.08 1.73 1.30 1.59 1.20 1.77 1.38 0.74 1.20 0.73 1.55 0.66 0.57 0.52 0.49 0.43 0.46 0.67 0.39 0.61 1.00 0.56 0.43 0.33 0.29 0.29 0.38 0.47 0.70 0.71 0.42 0.72 0.47 0.35 0.31 0.30 0.27 0.28 0.29 0.31 0.35 0.30 0.35 0.42 0.36 0.36 0.37 0.46 0.68 0.71 0.86 1.05 1.30 1.54 1.23 1.01 0.95 0.95 0.96 0.82 0.70 0.77 0.87 0.83 0.87 0.86 0.97 1.13 1.34 1.41 0.40 0.92 1.39 0.80 1.11 1.91 2.24 2.17 1.81 1.41 1.06 0.80 0.68 0.60 0.57 0.50 0.42 0.40 0.37 0.35 0.35 0.35 0.31 0.30 0.30 0.32 0.29 0.27 0.28 0.28 0.33 0.36 0.37 0.31 0.30 0.32 0.33 0.37 0.40 0.42 0.43 0.47 0.46 0.46 0.45 0.46 0.52 0.53 0.75 0.81 0.75 0.69 0.57 0.53 0.53 0.54 0.56 0.71 0.87 1.12 1.34 1.28 0.92 0.96 1.21 1.31 1.61 1.55
|
||||
0 26.00 30.08 2.86 1.62 1.28 1.23 0.87 0.80 1.19 2.87 3.69 0.98 2.16 1.77 1.89 1.42 0.92 1.62 0.78 0.60 1.21 1.75 1.24 0.70 0.53 0.48 0.44 0.35 0.40 0.59 0.39 1.05 0.54 0.65 0.37 0.33 0.36 0.43 0.49 0.63 0.83 0.87 0.61 0.66 0.55 0.38 0.33 0.31 0.29 0.30 0.28 0.25 0.30 0.32 0.39 0.40 0.42 0.41 0.41 0.47 0.40 0.52 0.65 0.82 1.13 1.12 1.16 0.90 0.95 1.09 0.94 0.83 0.78 0.81 0.68 0.70 0.69 0.70 0.70 0.81 0.85 0.93 1.09 1.50 1.54 0.93 0.67 1.51 2.19 2.51 2.31 2.37 2.08 2.21 1.79 1.70 1.35 1.21 1.00 0.87 0.78 0.66 0.63 0.60 0.53 0.51 0.52 0.51 0.47 0.44 0.40 0.38 0.40 0.40 0.43 0.42 0.46 0.43 0.52 0.57 0.54 0.58 0.58 0.59 0.56 0.58 0.60 0.60 0.62 0.70 0.86 0.98 1.07 0.85 0.78 0.66 0.62 0.68 0.70 0.69 0.75 0.82 0.93 1.12 1.15 1.02 0.92 1.01 1.20 1.15
|
||||
0 20.78 24.20 4.23 2.75 2.09 1.78 1.31 1.30 1.73 3.37 3.80 1.40 3.27 2.01 2.53 1.86 1.41 1.25 0.85 0.79 1.03 1.12 1.54 0.99 0.74 0.61 0.58 0.42 0.46 0.45 0.38 0.55 0.57 0.47 0.38 0.50 0.48 0.42 0.55 0.52 0.54 0.46 0.45 0.47 0.46 0.36 0.34 0.33 0.34 0.40 0.36 0.39 0.44 0.40 0.44 0.47 0.49 0.50 0.45 0.51 0.58 0.72 0.82 0.88 1.02 1.44 1.25 1.22 1.21 1.07 0.89 0.83 0.96 0.87 0.70 0.74 0.85 0.92 0.96 1.13 1.31 1.21 0.84 0.70 1.30 1.35 0.80 2.10 2.11 1.72 1.34 1.29 1.02 0.95 0.90 0.78 0.63 0.53 0.53 0.45 0.38 0.37 0.32 0.34 0.30 0.29 0.31 0.32 0.30 0.30 0.33 0.33 0.36 0.41 0.45 0.43 0.38 0.40 0.43 0.47 0.48 0.47 0.51 0.55 0.55 0.54 0.57 0.55 0.59 0.65 0.76 0.78 0.82 0.86 0.90 0.92 0.99 1.06 1.22 1.27 1.43 1.52 1.54 1.43 1.33 1.46 1.30 1.19 1.14 1.00
|
||||
0 24.77 21.10 3.93 2.86 2.08 1.62 1.38 1.20 1.71 2.76 4.36 1.03 2.56 2.03 2.28 2.68 1.94 1.30 0.97 0.68 1.01 1.84 1.75 0.72 0.63 0.50 0.53 0.44 0.48 0.63 0.53 0.78 0.63 0.51 0.33 0.39 0.37 0.34 0.31 0.32 0.42 0.45 0.42 0.57 0.47 0.35 0.31 0.29 0.27 0.28 0.35 0.44 0.47 0.45 0.52 0.62 0.51 0.52 0.53 0.56 0.67 0.69 0.73 0.95 1.08 1.03 1.49 1.06 0.96 0.65 1.10 1.39 1.22 1.30 1.03 1.06 1.09 1.03 1.12 1.44 1.70 0.92 0.53 0.64 1.16 1.42 2.01 2.56 2.30 2.28 1.74 1.62 1.71 1.66 1.53 1.56 1.56 1.48 1.24 1.16 1.12 1.01 1.00 0.87 0.86 0.86 0.67 0.57 0.59 0.60 0.70 0.70 0.89 0.84 0.82 0.80 0.70 0.67 0.58 0.53 0.62 0.57 0.56 0.66 0.67 0.70 0.72 0.76 0.78 0.81 0.81 0.86 0.98 0.85 0.81 0.73 0.64 0.65 0.68 0.75 0.82 0.98 1.12 1.32 1.22 1.13 1.11 1.09 1.09 1.07
|
||||
0 26.38 21.45 2.18 1.22 0.89 0.85 0.67 0.47 0.83 2.02 3.31 0.86 2.07 1.29 1.31 1.34 1.19 2.55 1.24 0.87 1.64 1.12 1.15 0.68 0.40 0.41 0.37 0.31 0.36 0.47 0.36 0.86 0.75 0.44 0.28 0.32 0.27 0.29 0.31 0.33 0.35 0.53 0.44 0.36 0.38 0.30 0.23 0.24 0.23 0.27 0.30 0.33 0.33 0.30 0.34 0.36 0.31 0.33 0.41 0.47 0.55 0.66 0.80 0.89 1.16 1.00 0.88 1.03 0.98 1.01 1.17 0.88 0.90 0.61 0.80 0.72 0.77 0.81 0.86 0.85 0.98 1.15 1.61 1.80 0.44 0.76 1.45 0.68 1.50 2.30 2.98 2.18 1.80 1.54 1.46 1.24 1.12 0.95 0.86 0.73 0.71 0.65 0.71 0.64 0.60 0.58 0.48 0.41 0.36 0.31 0.30 0.30 0.30 0.33 0.32 0.36 0.35 0.35 0.36 0.34 0.39 0.40 0.43 0.45 0.49 0.47 0.50 0.49 0.42 0.42 0.38 0.47 0.61 0.68 0.69 0.65 0.60 0.58 0.60 0.63 0.71 0.70 0.81 0.84 0.92 0.99 0.99 1.03 1.06 1.07
|
||||
0 24.18 25.67 1.97 1.48 1.06 1.00 0.82 0.65 0.85 3.00 4.12 1.45 2.87 2.10 1.01 1.22 0.89 1.03 0.98 0.73 0.77 0.69 1.11 0.70 0.50 0.41 0.37 0.35 0.35 0.38 0.29 0.37 0.58 0.29 0.29 0.24 0.25 0.28 0.34 0.51 0.64 0.66 0.46 0.55 0.39 0.31 0.28 0.26 0.25 0.27 0.29 0.31 0.31 0.37 0.36 0.37 0.35 0.39 0.46 0.50 0.56 0.57 0.50 0.60 0.64 0.67 0.68 0.63 0.61 0.58 0.58 0.56 0.50 0.55 0.63 0.69 0.72 0.76 0.79 0.87 0.98 1.41 0.87 0.30 0.93 1.20 0.49 1.76 2.26 1.90 1.43 1.17 1.13 0.93 0.74 0.70 0.61 0.52 0.50 0.42 0.40 0.36 0.33 0.31 0.28 0.30 0.29 0.29 0.32 0.33 0.34 0.33 0.38 0.34 0.34 0.29 0.25 0.25 0.24 0.27 0.29 0.32 0.33 0.40 0.40 0.45 0.44 0.48 0.47 0.52 0.55 0.54 0.41 0.35 0.32 0.31 0.35 0.36 0.40 0.41 0.40 0.46 0.46 0.55 0.68 0.71 0.68 0.76 0.77 0.78
|
||||
0 22.55 27.10 4.84 2.93 2.36 1.86 1.42 1.28 1.44 2.52 3.49 0.89 2.28 2.02 1.08 1.19 0.87 1.51 2.59 1.00 0.99 0.96 1.82 1.05 0.99 0.71 0.60 0.46 0.48 0.51 0.39 0.56 0.69 0.46 0.53 0.41 0.54 0.35 0.33 0.32 0.45 1.12 0.90 0.82 0.63 0.40 0.39 0.35 0.31 0.34 0.35 0.32 0.30 0.36 0.41 0.47 0.42 0.43 0.42 0.40 0.48 0.62 0.71 0.86 1.01 1.12 1.08 1.20 1.11 1.06 1.06 0.95 0.74 0.62 0.69 0.65 0.70 0.66 0.80 0.99 1.19 1.29 0.54 0.75 0.83 0.94 1.61 2.12 2.59 3.00 2.35 1.79 1.60 1.14 1.05 0.84 0.67 0.61 0.56 0.51 0.53 0.49 0.48 0.45 0.47 0.47 0.44 0.39 0.42 0.37 0.32 0.35 0.32 0.32 0.33 0.34 0.34 0.36 0.35 0.32 0.34 0.36 0.40 0.46 0.46 0.50 0.55 0.57 0.69 0.70 0.85 0.87 0.85 0.77 0.73 0.63 0.70 0.76 0.83 0.90 1.01 1.25 1.44 1.92 2.28 2.57 2.72 2.95 2.81 2.49
|
||||
0 24.17 20.14 2.75 2.08 1.87 1.77 1.67 1.49 2.81 3.35 6.00 2.46 3.36 2.24 2.80 2.85 2.81 4.24 4.02 4.23 2.54 1.89 1.69 0.99 1.09 1.05 0.93 0.94 0.99 1.29 0.93 1.11 1.02 0.45 0.44 0.33 0.41 0.43 0.67 0.68 0.97 0.98 0.53 0.48 0.44 0.33 0.31 0.32 0.30 0.30 0.28 0.28 0.31 0.37 0.36 0.40 0.43 0.43 0.48 0.56 0.69 0.97 0.91 1.00 1.34 1.60 1.39 1.10 0.92 0.98 0.95 0.90 0.78 1.03 0.74 0.83 0.91 0.94 0.94 1.23 0.96 0.41 0.85 1.03 1.15 1.21 1.15 2.35 2.46 1.96 1.66 1.35 1.24 1.06 0.89 0.75 0.64 0.59 0.63 0.58 0.62 0.61 0.55 0.50 0.42 0.41 0.37 0.34 0.31 0.31 0.33 0.30 0.32 0.31 0.32 0.35 0.36 0.40 0.42 0.50 0.58 0.66 0.71 0.78 0.73 0.79 0.83 0.99 1.06 1.19 1.45 1.61 1.74 1.68 1.18 0.82 0.71 0.65 0.68 0.73 0.79 0.99 1.14 1.18 1.13 1.30 1.40 1.56 1.73 1.68
|
||||
0 23.84 22.26 2.28 1.60 1.25 1.12 0.93 0.76 1.07 1.94 3.85 1.19 3.05 2.20 1.47 1.78 1.27 1.64 1.42 0.91 0.98 0.68 0.96 1.53 1.58 0.65 0.53 0.40 0.44 0.42 0.40 0.47 0.60 0.32 0.41 0.36 0.38 0.29 0.30 0.35 0.67 0.88 0.55 0.52 0.37 0.29 0.31 0.30 0.28 0.27 0.28 0.34 0.36 0.41 0.42 0.54 0.52 0.58 0.51 0.57 0.62 0.70 0.74 0.76 0.84 1.04 1.23 1.43 1.21 0.92 0.93 0.80 0.86 0.91 1.06 1.19 0.94 0.90 0.85 0.93 1.20 1.45 1.06 0.37 0.85 0.84 0.73 1.51 2.01 2.51 2.44 2.08 1.59 1.15 0.95 0.69 0.63 0.59 0.52 0.51 0.49 0.45 0.46 0.45 0.45 0.43 0.40 0.36 0.33 0.32 0.30 0.30 0.34 0.34 0.39 0.38 0.36 0.39 0.43 0.50 0.56 0.55 0.66 0.68 0.71 0.86 0.97 1.16 1.19 1.28 1.48 1.60 1.56 1.32 1.26 1.20 1.17 1.25 1.44 1.43 1.56 1.67 1.78 1.96 2.39 2.42 2.02 1.93 2.23 2.18
|
||||
0 22.06 26.51 4.65 3.06 2.52 2.18 1.57 1.65 2.34 2.88 4.96 2.27 2.93 2.18 2.19 1.60 1.03 1.11 0.94 0.92 0.86 0.90 0.82 0.65 0.66 0.54 0.59 0.43 0.48 0.63 0.46 0.81 0.95 0.66 0.46 0.46 0.37 0.33 0.32 0.33 0.50 0.94 0.63 0.68 0.45 0.40 0.33 0.34 0.34 0.30 0.30 0.31 0.28 0.31 0.34 0.48 0.46 0.42 0.44 0.50 0.63 0.73 0.77 0.89 0.91 1.09 1.13 1.03 1.04 1.00 0.98 0.85 0.85 0.75 0.93 0.72 0.73 0.86 0.86 1.03 1.25 1.77 2.20 1.22 0.43 1.18 1.41 0.96 1.16 2.47 2.36 2.03 1.52 1.14 0.97 0.81 0.71 0.71 0.70 0.67 0.55 0.53 0.47 0.40 0.35 0.37 0.38 0.32 0.33 0.35 0.35 0.37 0.38 0.40 0.39 0.41 0.37 0.37 0.35 0.36 0.37 0.40 0.42 0.40 0.42 0.43 0.45 0.44 0.50 0.54 0.55 0.72 0.85 1.05 1.15 1.03 0.88 0.80 0.76 0.81 0.94 1.17 1.47 1.89 2.17 2.12 1.98 1.99 1.92 1.85
|
||||
1 33.75 29.77 3.66 3.22 2.08 2.36 1.91 1.69 2.42 3.59 4.26 1.70 3.63 4.21 3.24 2.86 1.58 1.93 1.36 1.11 0.98 0.91 2.33 1.21 0.92 0.73 0.73 0.53 0.64 0.77 0.51 0.76 1.15 0.52 0.36 0.38 0.35 0.35 0.36 0.44 0.64 0.64 0.51 0.71 0.33 0.34 0.32 0.36 0.32 0.32 0.31 0.28 0.31 0.31 0.33 0.38 0.42 0.45 0.44 0.49 0.62 0.71 0.68 0.91 0.86 1.00 0.86 0.74 0.87 0.65 0.70 0.70 0.71 0.77 0.69 0.68 0.71 0.65 0.86 1.00 1.15 1.37 1.54 1.54 1.12 0.42 1.61 2.10 1.68 1.37 1.25 0.95 0.83 0.76 0.68 0.70 0.66 0.58 0.53 0.47 0.42 0.48 0.33 0.29 0.29 0.27 0.29 0.28 0.31 0.45 0.42 0.29 0.26 0.29 0.33 0.32 0.32 0.34 0.34 0.37 0.37 0.44 0.52 0.48 0.44 0.43 0.43 0.42 0.48 0.50 0.60 0.60 0.55 0.48 0.43 0.41 0.44 0.52 0.58 0.68 0.87 1.05 1.13 1.15 1.21 1.11 1.07 0.98 0.94 0.90
|
||||
1 26.87 21.82 2.82 1.86 1.39 1.19 0.89 0.89 1.19 2.82 2.96 1.45 2.12 1.62 1.75 2.31 1.65 1.79 0.81 0.61 1.01 1.81 1.93 0.92 0.75 0.52 0.51 0.50 0.50 0.69 0.47 0.87 0.63 0.44 0.33 0.37 0.39 0.53 0.66 0.61 0.54 0.54 0.46 0.51 0.35 0.31 0.29 0.29 0.25 0.25 0.29 0.29 0.35 0.34 0.38 0.44 0.43 0.44 0.52 0.50 0.60 0.68 0.73 1.06 1.46 1.60 1.75 1.47 1.61 1.28 0.93 1.16 1.14 1.32 1.05 0.98 0.89 0.92 0.98 1.18 1.33 1.58 1.88 2.01 2.18 1.80 1.79 2.81 2.62 2.03 1.56 1.41 1.25 1.07 0.85 0.76 0.63 0.58 0.50 0.54 0.49 0.46 0.44 0.42 0.44 0.42 0.40 0.36 0.31 0.28 0.27 0.29 0.31 0.31 0.46 0.34 0.32 0.33 0.33 0.35 0.37 0.40 0.41 0.41 0.47 0.48 0.49 0.49 0.42 0.58 0.58 0.64 0.68 0.72 0.78 0.74 0.76 0.88 0.89 0.94 0.86 0.89 0.87 0.84 0.72 0.68 0.61 0.54 0.50 0.53
|
||||
1 33.20 26.14 4.43 2.87 2.02 2.04 1.62 1.47 2.12 3.65 5.73 2.08 4.11 4.62 4.42 4.56 3.55 2.64 1.39 1.23 0.99 0.84 1.66 1.32 0.87 0.76 0.71 0.52 0.59 0.62 0.47 0.61 0.82 0.46 0.38 0.34 0.36 0.39 0.50 0.70 1.14 0.82 0.54 0.44 0.46 0.43 0.39 0.38 0.37 0.37 0.41 0.45 0.54 0.58 0.59 0.72 0.78 0.64 0.64 0.69 0.83 0.89 0.89 1.07 1.11 1.24 1.51 1.43 1.25 1.49 1.50 0.98 1.15 1.16 1.35 1.55 1.63 1.53 1.52 1.65 2.28 1.81 0.40 1.15 2.43 2.17 1.43 1.68 2.35 1.99 1.74 1.42 1.11 1.00 0.79 0.74 0.64 0.63 0.58 0.52 0.44 0.44 0.42 0.42 0.40 0.46 0.46 0.38 0.34 0.34 0.36 0.35 0.37 0.36 0.38 0.38 0.37 0.37 0.40 0.36 0.38 0.48 0.46 0.46 0.47 0.47 0.47 0.52 0.49 0.53 0.58 0.60 0.63 0.61 0.58 0.57 0.58 0.62 0.70 0.73 0.84 0.99 0.99 1.17 1.08 1.07 0.97 0.95 0.80 0.70
|
||||
1 26.34 21.90 4.50 2.84 2.27 1.69 1.49 1.28 1.39 4.24 6.22 2.26 5.65 4.06 1.44 1.05 1.29 1.68 1.12 0.86 1.14 1.04 0.82 0.58 0.95 0.92 0.60 0.64 0.49 0.76 0.89 0.90 1.24 0.67 0.46 0.34 0.36 0.36 0.36 0.37 0.41 0.50 0.57 0.67 0.47 0.37 0.39 0.35 0.33 0.30 0.31 0.33 0.39 0.45 0.44 0.56 0.46 0.42 0.47 0.44 0.51 0.52 0.54 0.55 0.56 0.48 0.50 0.52 0.52 0.57 0.65 0.72 0.37 0.66 0.75 0.70 0.70 0.61 0.54 0.65 0.89 1.39 1.75 1.67 1.15 0.75 2.05 2.48 2.31 1.80 1.45 1.12 0.86 0.71 0.70 0.67 0.66 0.58 0.53 0.46 0.53 0.46 0.38 0.36 0.35 0.37 0.41 0.46 0.55 0.52 0.51 0.52 0.54 0.54 0.58 0.55 0.62 0.64 0.72 0.78 0.89 1.00 1.21 1.27 1.37 1.49 1.45 1.31 1.26 1.37 1.41 1.38 1.41 1.11 1.16 1.23 1.24 1.32 1.27 1.26 1.33 1.44 1.69 1.71 1.33 1.23 1.31 1.44 1.35 1.22
|
||||
1 30.99 21.58 1.94 1.19 0.62 0.77 0.59 0.46 0.98 1.94 3.50 1.00 1.63 1.31 1.46 1.89 1.06 1.55 1.40 1.11 0.73 1.03 0.85 0.48 0.63 0.63 0.49 0.42 0.38 0.50 0.35 0.77 0.79 0.50 0.28 0.30 0.25 0.25 0.25 0.32 0.39 0.57 0.42 0.76 0.51 0.33 0.26 0.27 0.23 0.26 0.25 0.29 0.36 0.37 0.47 0.49 0.48 0.40 0.49 0.53 0.72 0.77 0.83 0.85 0.93 0.83 0.79 0.80 0.80 0.84 0.66 0.58 0.62 0.60 0.62 0.61 0.68 0.72 0.74 0.94 1.51 1.47 0.51 0.63 0.59 0.93 2.02 2.57 2.29 2.09 1.79 1.56 1.37 1.35 1.05 0.97 0.80 0.72 0.60 0.50 0.44 0.44 0.40 0.37 0.35 0.34 0.31 0.30 0.26 0.25 0.25 0.24 0.26 0.27 0.30 0.30 0.32 0.34 0.31 0.33 0.34 0.33 0.37 0.38 0.38 0.39 0.41 0.43 0.50 0.50 0.48 0.49 0.47 0.47 0.55 0.56 0.60 0.70 0.79 0.98 1.00 1.12 1.06 1.11 1.08 1.26 1.14 1.13 0.92 0.82
|
||||
1 37.37 20.20 2.46 1.91 1.58 1.25 1.03 0.93 1.33 2.83 5.64 1.29 3.03 1.51 2.23 2.10 1.48 2.65 1.43 0.74 1.00 0.71 3.25 1.34 0.84 0.62 0.55 0.52 0.47 0.69 0.59 1.23 1.72 0.66 0.49 0.40 0.55 0.69 0.66 0.87 0.71 0.56 0.46 0.55 0.41 0.39 0.34 0.33 0.31 0.35 0.36 0.35 0.39 0.35 0.33 0.38 0.38 0.43 0.45 0.49 0.52 0.64 0.81 0.80 0.95 1.02 1.39 1.48 1.66 1.54 1.34 0.91 0.83 0.82 0.82 0.90 0.82 0.83 0.81 0.90 1.11 1.31 1.45 0.89 0.48 0.41 1.29 2.19 2.14 1.66 1.90 1.37 1.46 1.07 0.79 0.77 0.70 0.68 0.69 0.72 0.65 0.61 0.52 0.49 0.44 0.46 0.42 0.42 0.40 0.38 0.38 0.48 0.40 0.45 0.50 0.53 0.59 0.60 0.65 0.52 0.49 0.51 0.52 0.63 0.64 0.84 0.82 0.87 0.96 0.84 0.88 0.81 0.86 0.72 0.79 0.72 0.60 0.59 0.54 0.65 0.73 0.86 1.18 1.34 1.21 1.07 0.99 1.09 1.23 1.25
|
||||
1 24.90 22.14 4.33 2.84 2.30 1.75 1.41 1.40 1.77 3.52 4.25 1.74 2.92 2.08 2.11 2.33 1.00 1.16 0.96 1.06 1.51 1.30 1.20 0.70 0.64 0.55 0.53 0.46 0.59 0.71 0.66 1.04 1.17 1.09 0.70 0.38 0.40 0.34 0.38 0.45 0.49 0.64 0.55 0.61 0.46 0.35 0.34 0.33 0.32 0.30 0.27 0.32 0.35 0.32 0.36 0.47 0.46 0.42 0.48 0.52 0.58 0.65 0.81 0.96 1.19 1.61 1.42 1.11 0.87 0.86 0.90 0.80 0.58 0.59 0.71 0.64 0.63 0.62 0.63 0.74 0.78 0.77 0.99 1.38 1.44 1.20 0.78 1.57 2.11 2.32 2.21 1.98 1.90 1.62 1.15 1.02 0.87 0.84 0.75 0.74 0.74 0.72 0.61 0.63 0.57 0.56 0.51 0.40 0.36 0.37 0.36 0.41 0.37 0.40 0.39 0.37 0.38 0.37 0.36 0.35 0.36 0.41 0.45 0.46 0.50 0.54 0.52 0.53 0.55 0.56 0.64 0.72 0.80 0.69 0.61 0.54 0.50 0.53 0.57 0.63 0.79 0.88 0.82 0.85 0.76 0.83 0.90 0.84 0.92 0.98
|
||||
1 26.40 22.80 4.41 3.07 2.31 1.79 1.42 1.27 1.54 3.52 5.68 1.27 2.72 2.35 2.02 2.32 1.31 1.65 1.21 1.12 1.38 1.35 0.89 0.68 0.56 0.57 0.49 0.50 0.53 0.66 0.56 0.84 0.82 0.49 0.38 0.43 0.44 0.43 0.51 0.55 0.54 0.43 0.42 0.39 0.33 0.30 0.28 0.32 0.30 0.32 0.36 0.36 0.44 0.41 0.44 0.49 0.41 0.43 0.47 0.55 0.62 0.81 0.81 0.78 0.85 0.90 0.98 0.85 0.86 0.79 0.82 0.87 0.80 0.63 0.59 0.80 0.81 0.85 0.96 1.00 1.05 1.38 1.72 1.67 1.08 0.87 0.79 0.82 1.68 1.91 1.55 1.38 1.16 0.93 0.92 0.82 0.78 0.68 0.57 0.55 0.51 0.43 0.39 0.38 0.37 0.36 0.36 0.33 0.30 0.32 0.33 0.34 0.40 0.39 0.41 0.42 0.45 0.42 0.42 0.43 0.51 0.56 0.54 0.55 0.49 0.47 0.46 0.51 0.53 0.53 0.49 0.47 0.46 0.43 0.47 0.54 0.60 0.66 0.76 0.87 0.98 1.05 1.11 1.07 0.97 0.99 0.92 0.82 0.77 0.65
|
||||
1 29.46 15.93 3.06 2.35 1.65 1.41 1.17 1.08 1.37 2.69 3.30 1.12 3.84 2.71 1.25 2.35 2.14 2.60 1.62 0.91 0.97 1.52 2.17 1.59 1.29 0.89 0.65 0.52 0.50 0.58 0.59 1.27 1.46 1.23 0.58 0.54 0.40 0.38 0.41 0.44 0.47 0.68 0.69 0.64 0.47 0.35 0.29 0.31 0.28 0.30 0.33 0.28 0.39 0.39 0.52 0.64 0.62 0.66 0.67 0.60 0.58 0.76 0.90 0.92 1.29 1.45 1.52 1.36 1.32 1.25 0.84 1.00 1.04 1.11 1.09 1.08 1.04 1.05 0.96 0.94 1.52 0.82 0.76 1.28 1.23 1.77 2.66 3.95 3.98 3.35 2.65 2.20 2.04 1.60 1.79 1.42 1.50 1.36 1.23 1.43 1.13 1.39 0.98 1.01 0.92 0.89 1.03 0.84 1.08 1.00 1.11 1.16 0.97 1.15 0.86 0.95 0.65 0.75 0.79 0.79 1.04 0.99 1.29 1.22 1.28 1.39 1.30 1.46 1.25 1.45 1.36 1.79 2.12 2.52 2.28 1.80 2.03 2.10 2.12 2.37 2.23 2.70 2.58 2.87 2.70 3.11 3.27 3.69 3.61 2.93
|
||||
1 31.72 28.17 4.86 3.03 2.48 1.94 1.47 1.28 1.64 3.47 3.94 1.74 3.16 4.00 1.53 1.88 1.34 1.10 1.92 1.05 0.98 0.84 1.00 0.74 0.78 0.70 0.67 0.55 0.71 1.00 0.78 1.05 1.06 1.29 0.65 0.54 0.44 0.45 0.52 0.63 0.97 0.76 0.58 0.55 0.61 0.45 0.38 0.36 0.36 0.35 0.37 0.44 0.52 0.42 0.48 0.53 0.47 0.45 0.42 0.43 0.41 0.50 0.57 0.64 0.77 0.92 0.99 1.07 1.24 1.73 2.03 1.03 1.12 1.16 0.91 0.91 0.94 0.99 1.02 0.97 1.10 1.64 2.53 1.00 0.69 1.41 1.26 2.04 3.24 3.71 2.54 2.14 2.12 1.84 1.50 1.28 1.03 0.90 0.78 0.76 0.69 0.56 0.57 0.48 0.50 0.52 0.49 0.47 0.45 0.49 0.49 0.51 0.58 0.57 0.57 0.59 0.52 0.52 0.56 0.57 0.58 0.67 0.69 0.69 0.72 0.68 0.60 0.58 0.55 0.54 0.61 0.75 0.78 0.89 0.76 0.65 0.65 0.64 0.64 0.67 0.72 0.95 1.13 1.31 1.45 1.67 1.36 1.44 1.36 1.47
|
||||
1 53.88 20.23 2.40 1.69 1.15 0.97 0.78 0.74 0.88 2.46 3.61 0.98 1.73 0.89 1.26 1.22 0.93 1.74 0.97 1.35 1.72 1.87 1.22 0.86 0.60 0.42 0.47 0.32 0.34 0.39 0.32 0.46 0.82 0.51 0.28 0.30 0.25 0.29 0.28 0.37 0.40 0.58 0.74 1.22 0.49 0.43 0.37 0.30 0.27 0.25 0.28 0.30 0.31 0.33 0.36 0.41 0.39 0.37 0.42 0.42 0.49 0.58 0.70 0.87 0.96 1.11 1.35 1.35 1.44 1.58 1.41 1.31 1.05 0.85 0.88 0.89 0.98 0.93 1.11 1.21 1.16 1.55 1.96 0.79 0.77 1.28 1.39 0.94 1.58 1.85 1.87 1.96 2.07 1.98 1.52 1.17 0.79 0.88 0.62 0.62 0.52 0.44 0.44 0.46 0.41 0.40 0.41 0.39 0.36 0.38 0.43 0.47 0.44 0.42 0.38 0.35 0.35 0.29 0.35 0.32 0.37 0.41 0.48 0.44 0.48 0.49 0.49 0.48 0.48 0.47 0.54 0.50 0.54 0.68 0.85 0.90 0.77 0.72 0.76 0.75 0.86 0.97 1.14 1.10 1.10 1.02 0.93 1.08 1.09 1.32
|
||||
1 32.58 29.66 4.92 3.10 2.46 2.01 1.44 1.26 1.54 2.57 5.93 1.62 2.64 1.83 1.96 2.47 1.50 2.21 2.44 1.53 1.98 1.50 2.76 2.59 1.48 0.94 0.81 0.58 0.70 0.75 0.55 0.82 0.97 0.62 0.57 0.41 0.48 0.41 0.59 0.53 0.57 0.90 0.81 1.04 0.53 0.53 0.47 0.42 0.41 0.37 0.40 0.37 0.48 0.48 0.36 0.56 0.56 0.55 0.59 0.73 0.88 0.84 0.83 0.71 0.99 1.01 1.26 0.99 0.77 0.67 0.64 0.60 0.60 0.73 0.71 0.64 0.80 0.87 0.89 0.96 1.07 1.18 1.49 1.65 1.63 1.05 1.64 2.46 1.97 1.52 1.42 1.12 0.92 0.73 0.60 0.63 0.57 0.52 0.49 0.57 0.54 0.49 0.42 0.37 0.36 0.35 0.33 0.29 0.29 0.29 0.30 0.31 0.30 0.32 0.34 0.30 0.30 0.28 0.33 0.32 0.37 0.40 0.39 0.42 0.44 0.48 0.46 0.52 0.54 0.53 0.60 0.54 0.49 0.43 0.41 0.51 0.46 0.47 0.48 0.57 0.57 0.69 0.87 0.89 0.89 0.86 0.95 1.01 1.04 0.97
|
||||
1 42.40 25.27 2.82 2.31 1.76 2.01 1.40 1.45 1.81 2.93 5.17 1.82 2.63 1.93 2.62 1.60 1.20 1.67 0.89 0.79 1.50 1.23 1.41 0.79 0.60 0.50 0.47 0.36 0.40 0.45 0.37 0.41 0.71 0.38 0.36 0.31 0.31 0.26 0.31 0.37 0.58 0.79 0.42 0.50 0.37 0.29 0.21 0.21 0.26 0.25 0.25 0.26 0.30 0.25 0.30 0.32 0.32 0.35 0.35 0.43 0.50 0.54 0.69 0.66 0.56 0.57 0.86 0.91 0.77 0.72 0.70 0.73 0.68 0.68 0.56 0.48 0.58 0.61 0.68 0.71 1.04 0.46 0.46 0.90 0.48 1.06 1.60 1.85 1.84 1.82 1.46 1.29 1.21 1.05 0.83 0.74 0.64 0.61 0.58 0.49 0.45 0.42 0.45 0.42 0.44 0.43 0.42 0.38 0.35 0.36 0.35 0.38 0.37 0.37 0.39 0.43 0.38 0.39 0.38 0.43 0.50 0.58 0.63 0.62 0.64 0.63 0.64 0.65 0.64 0.61 0.68 0.76 0.74 0.69 0.69 0.67 0.77 0.75 0.73 0.72 0.71 0.65 0.66 0.69 0.68 0.74 0.79 1.01 1.11 1.26
|
||||
1 33.89 24.27 4.47 3.10 2.45 1.86 1.49 1.38 1.69 3.58 6.18 1.30 5.05 1.58 1.28 1.83 1.81 2.33 1.57 1.99 1.75 1.30 1.34 0.79 0.59 0.55 0.54 0.46 0.42 0.42 0.37 0.53 0.81 0.57 0.37 0.38 0.41 0.41 0.46 0.48 0.64 0.78 0.53 0.82 0.40 0.39 0.34 0.34 0.33 0.32 0.32 0.36 0.41 0.36 0.42 0.54 0.53 0.58 0.61 0.83 0.83 0.92 0.89 0.96 0.99 1.05 0.93 0.81 0.78 0.83 0.74 0.74 0.67 0.71 0.66 0.89 1.12 1.31 1.49 1.50 0.80 0.38 0.89 0.48 1.13 2.09 2.42 1.93 1.55 1.28 1.09 0.98 0.83 0.78 0.65 0.59 0.66 0.62 0.65 0.58 0.57 0.58 0.54 0.53 0.50 0.46 0.38 0.35 0.36 0.35 0.38 0.42 0.41 0.43 0.42 0.47 0.42 0.38 0.39 0.43 0.48 0.53 0.53 0.53 0.55 0.57 0.50 0.53 0.49 0.51 0.57 0.55 0.54 0.49 0.46 0.51 0.55 0.59 0.55 0.66 0.68 0.70 0.74 0.86 0.79 0.97 1.00 1.37 1.44 1.57
|
||||
1 31.39 21.79 3.70 3.04 2.08 2.51 2.02 1.88 3.27 4.98 6.27 2.52 6.32 5.65 3.07 2.81 1.56 1.66 0.86 0.93 0.93 0.77 1.09 0.60 0.94 0.82 0.85 0.44 0.46 0.61 0.51 0.66 0.70 0.50 0.34 0.28 0.27 0.27 0.26 0.26 0.38 0.66 0.35 0.45 0.28 0.26 0.25 0.23 0.22 0.22 0.24 0.24 0.27 0.26 0.31 0.35 0.36 0.37 0.43 0.48 0.63 0.70 0.80 0.78 0.76 0.69 0.74 0.74 0.80 0.72 0.66 0.66 0.67 0.67 0.63 0.65 0.60 0.62 0.70 0.94 0.76 0.31 0.59 0.88 0.45 0.99 1.36 1.62 1.82 2.05 2.34 1.83 1.47 1.27 0.98 0.93 0.77 0.68 0.62 0.61 0.55 0.56 0.55 0.52 0.50 0.45 0.43 0.37 0.32 0.35 0.35 0.39 0.39 0.36 0.37 0.35 0.37 0.33 0.37 0.41 0.47 0.55 0.60 0.63 0.77 0.83 0.89 0.96 1.11 1.27 1.39 1.62 1.43 1.43 1.33 1.16 1.22 1.18 1.15 1.13 1.02 1.05 1.08 1.30 1.44 1.70 1.58 1.76 1.88 2.18
|
||||
1 31.88 26.84 4.96 3.59 2.66 1.97 1.56 1.40 1.45 3.23 3.57 1.57 3.19 1.61 1.11 1.44 1.14 1.90 2.33 1.74 1.82 1.70 1.36 1.69 1.50 0.85 0.93 0.65 0.65 0.80 0.54 0.75 0.88 0.67 0.51 0.44 0.50 0.49 0.57 0.52 0.66 0.84 0.81 0.80 0.56 0.64 0.52 0.46 0.50 0.31 0.37 0.41 0.45 0.40 0.41 0.65 0.50 0.41 0.40 0.50 0.59 0.69 0.84 0.83 1.10 1.12 1.26 1.17 0.98 0.92 0.87 0.71 0.65 0.82 0.80 0.74 0.76 0.73 0.88 1.08 1.25 0.39 0.66 0.94 0.65 1.23 1.84 2.33 2.84 2.16 1.88 1.31 1.11 0.95 0.79 0.76 0.71 0.68 0.59 0.54 0.48 0.51 0.45 0.40 0.42 0.40 0.39 0.42 0.38 0.32 0.34 0.32 0.34 0.36 0.37 0.39 0.39 0.37 0.36 0.30 0.32 0.32 0.33 0.30 0.33 0.37 0.41 0.45 0.42 0.43 0.47 0.48 0.46 0.53 0.56 0.56 0.58 0.63 0.57 0.63 0.66 0.75 0.94 1.12 1.32 1.31 1.35 1.43 1.56 1.57
|
||||
1 32.02 30.05 4.81 3.35 2.70 2.60 2.23 2.32 3.86 4.77 8.30 3.10 3.72 2.30 2.80 3.19 2.37 2.77 1.73 1.91 2.02 2.48 2.78 1.64 1.76 1.27 1.85 1.46 1.38 1.39 0.95 1.28 0.78 1.01 0.51 0.53 0.44 0.35 0.41 0.40 0.50 0.66 0.72 0.57 0.48 0.37 0.32 0.35 0.28 0.32 0.35 0.35 0.38 0.39 0.42 0.49 0.51 0.49 0.55 0.73 0.83 0.81 0.75 0.74 0.75 0.76 0.94 0.87 0.83 0.86 0.92 0.84 0.98 0.96 0.79 0.67 0.74 0.84 0.82 0.97 1.20 1.17 0.89 0.85 0.77 0.75 1.63 0.54 1.39 1.99 1.76 1.38 0.99 0.99 0.83 0.79 0.66 0.64 0.58 0.47 0.43 0.41 0.39 0.37 0.37 0.35 0.34 0.30 0.29 0.27 0.26 0.28 0.24 0.26 0.25 0.25 0.26 0.25 0.23 0.26 0.27 0.34 0.43 0.52 0.56 0.58 0.67 0.68 0.68 0.66 0.61 0.55 0.48 0.44 0.44 0.51 0.49 0.59 0.66 0.79 1.12 1.37 1.48 1.82 1.52 1.31 1.21 1.09 1.02 1.00
|
||||
1 21.38 18.37 1.92 1.18 0.60 0.57 0.48 0.37 0.69 2.27 4.38 1.19 2.22 1.36 1.32 1.16 0.69 1.82 2.86 1.42 1.37 0.97 1.34 0.82 1.30 0.70 0.48 0.43 0.53 0.53 0.46 0.39 0.93 0.46 0.39 0.33 0.41 0.35 0.37 0.44 0.54 0.94 0.72 0.80 0.45 0.47 0.48 0.38 0.38 0.41 0.38 0.42 0.48 0.54 0.49 0.48 0.58 0.50 0.51 0.45 0.55 0.67 0.85 1.08 1.40 1.69 1.63 1.61 1.27 1.30 1.37 1.46 1.39 1.07 1.13 1.09 0.99 0.73 0.77 0.78 1.05 1.57 2.09 2.32 1.50 0.72 1.63 1.66 1.47 2.27 3.44 3.67 2.80 2.01 1.75 1.41 1.30 1.07 0.89 0.89 0.82 0.76 0.76 0.77 0.75 0.81 0.68 0.66 0.54 0.50 0.53 0.58 0.69 0.74 0.74 0.63 0.64 0.59 0.59 0.63 0.71 0.85 0.85 0.75 0.90 0.78 0.70 0.81 0.76 0.79 0.78 0.76 0.84 0.79 0.77 0.79 0.80 0.88 0.87 0.89 0.84 0.81 0.77 0.74 0.78 0.98 1.28 1.47 1.57 1.62
|
||||
1 18.37 23.18 1.76 0.85 0.38 0.43 0.45 0.39 0.77 2.46 3.44 0.75 1.57 0.81 1.47 1.38 0.93 2.08 3.17 1.33 1.17 0.83 1.61 0.78 1.23 0.83 0.57 0.50 0.52 0.60 0.63 0.45 1.22 0.52 0.60 0.39 0.38 0.38 0.57 0.86 1.17 1.36 0.81 0.68 0.79 0.41 0.40 0.36 0.43 0.38 0.39 0.41 0.43 0.60 0.51 0.53 0.47 0.44 0.49 0.56 0.54 0.74 0.76 0.88 0.99 1.07 1.40 1.91 1.60 1.52 1.20 0.94 0.78 0.83 0.88 0.95 1.00 1.03 1.13 1.30 1.17 0.54 0.89 1.15 1.45 1.63 2.20 2.83 3.21 3.50 3.48 3.39 3.16 2.53 2.28 2.11 1.68 1.44 1.29 1.18 1.08 1.00 0.93 0.97 0.97 0.87 0.78 0.63 0.54 0.53 0.58 0.53 0.57 0.57 0.61 0.62 0.58 0.65 0.64 0.75 0.80 0.86 0.87 0.84 0.81 0.83 0.89 0.93 0.95 0.95 0.87 0.92 0.90 0.99 1.04 1.11 1.01 0.94 0.90 0.96 1.07 1.08 1.09 1.02 1.17 1.29 1.19 1.23 1.24 1.27
|
||||
|
|
@ -0,0 +1,54 @@
|
|||
53 16
|
||||
0 389.05 133.34 62.14 32.60 36.97 29.03 62.28 114.07 79.41 212.39 70.29 36.73 31.30 76.01 103.99 214.09
|
||||
0 324.10 185.78 53.32 42.18 33.74 30.92 64.02 96.03 81.98 170.60 60.72 33.12 27.39 53.91 92.18 132.29
|
||||
0 337.26 172.77 67.46 35.96 28.25 23.16 45.26 73.37 67.25 152.17 47.03 29.95 35.61 47.26 88.57 162.72
|
||||
0 374.35 296.55 62.14 35.16 36.96 28.18 56.53 75.65 78.38 162.61 56.70 30.64 32.97 67.67 104.95 200.48
|
||||
0 363.99 270.16 57.34 37.74 36.75 23.03 52.53 83.38 77.21 144.07 60.19 43.87 39.82 74.65 138.00 134.36
|
||||
0 451.01 330.85 99.71 56.79 56.01 41.09 85.36 128.34 85.71 153.54 65.00 41.44 37.51 59.31 122.89 113.58
|
||||
0 379.95 293.99 81.84 47.81 34.40 24.66 71.39 119.74 102.66 191.83 77.68 46.95 55.56 125.88 140.75 206.51
|
||||
0 394.40 145.07 71.63 40.96 43.49 32.47 63.88 95.54 77.51 183.66 81.59 34.37 33.57 86.55 106.25 138.53
|
||||
0 423.49 184.24 68.79 57.62 39.71 34.94 76.70 127.91 91.56 191.60 56.62 31.34 42.80 78.53 86.65 166.32
|
||||
0 327.95 227.49 71.65 30.59 25.42 29.93 52.06 80.28 95.60 133.54 47.18 55.04 43.04 90.17 163.09 223.91
|
||||
0 385.59 220.88 71.88 78.68 54.42 32.75 58.84 98.70 96.27 190.03 91.75 43.93 50.09 58.10 82.29 121.77
|
||||
0 380.33 166.52 54.72 72.84 52.19 39.06 68.98 153.62 106.08 204.99 89.83 59.51 33.84 64.06 99.44 145.30
|
||||
0 436.20 213.06 67.31 58.24 49.71 33.79 62.87 126.26 90.95 225.95 99.53 65.23 47.70 121.35 149.46 311.34
|
||||
0 365.29 239.79 107.11 83.75 70.09 75.96 127.97 121.83 129.51 194.37 59.35 43.39 32.79 66.23 95.44 146.08
|
||||
0 688.01 222.50 91.42 52.63 44.97 32.32 65.25 80.79 81.48 136.00 45.98 33.35 34.36 38.46 35.42 71.39
|
||||
0 581.05 277.65 95.05 64.03 52.50 32.67 67.44 89.28 86.24 141.64 54.55 24.51 23.83 29.41 35.47 55.73
|
||||
0 650.12 195.28 65.50 47.66 38.33 25.62 45.81 49.89 54.93 101.53 38.42 23.66 23.82 39.67 57.97 80.14
|
||||
0 613.10 240.01 82.24 48.66 43.29 30.90 71.40 86.73 76.72 134.38 50.07 29.28 36.82 62.52 100.02 190.73
|
||||
0 527.66 184.18 72.22 40.83 34.06 28.06 45.01 73.51 84.49 130.87 78.83 30.55 27.25 53.92 53.40 66.50
|
||||
0 620.78 185.55 67.55 38.99 33.61 25.54 48.07 52.24 57.41 105.72 38.41 28.96 27.80 40.99 49.20 89.65
|
||||
0 564.65 517.17 110.90 45.18 50.97 45.71 97.75 101.35 132.78 149.10 57.57 34.17 27.53 41.78 64.44 98.19
|
||||
0 500.22 149.52 53.79 29.07 28.01 22.29 59.76 64.63 81.64 128.85 49.73 39.06 48.43 89.61 125.78 212.88
|
||||
0 518.35 178.87 63.43 40.01 35.40 24.00 57.15 81.89 93.39 123.57 52.03 36.53 49.48 79.02 82.25 88.21
|
||||
0 574.24 160.93 64.06 39.41 45.47 28.03 68.70 93.94 70.14 134.93 46.60 26.06 44.03 39.25 40.72 78.29
|
||||
0 638.52 178.17 66.92 45.03 43.57 27.93 68.36 81.30 87.46 129.58 40.97 26.11 31.13 46.12 56.60 111.59
|
||||
0 619.89 166.02 69.66 45.44 51.53 28.35 55.50 79.83 82.19 161.87 95.30 41.36 42.37 57.67 67.42 91.15
|
||||
0 567.86 196.90 75.48 40.91 40.34 35.26 64.99 87.48 86.66 123.50 46.99 27.50 38.25 52.67 91.76 114.06
|
||||
0 573.97 197.02 78.31 44.47 35.05 36.57 64.28 99.10 92.27 167.30 112.29 62.95 60.07 64.26 67.67 99.04
|
||||
0 516.91 156.94 66.41 39.24 31.43 26.32 58.10 80.33 90.94 143.02 80.78 37.06 31.23 39.68 55.76 82.35
|
||||
0 543.44 170.13 54.80 29.22 39.59 27.32 46.44 51.96 71.75 119.28 43.78 27.93 25.37 40.24 33.08 57.47
|
||||
0 620.51 163.79 84.81 43.58 51.24 31.56 57.05 82.62 74.72 162.18 55.19 34.99 29.84 52.49 70.95 200.03
|
||||
0 553.81 309.61 150.57 65.60 51.72 29.03 74.68 85.62 81.26 138.50 56.57 31.15 38.69 87.42 90.10 119.21
|
||||
0 520.29 178.60 79.88 36.25 40.71 31.86 60.44 91.46 85.34 142.43 50.83 31.99 38.69 91.42 120.63 181.23
|
||||
0 625.94 202.08 62.10 50.04 43.89 29.81 59.95 83.72 100.06 134.74 58.36 31.45 33.43 41.91 80.15 161.63
|
||||
1 760.65 259.02 91.07 51.30 41.26 29.00 58.41 65.18 94.50 105.50 46.02 27.85 30.93 42.72 48.63 92.02
|
||||
1 555.11 175.20 81.95 45.45 41.89 28.51 70.02 115.11 120.38 159.98 50.25 30.61 31.39 43.05 70.35 59.41
|
||||
1 714.99 337.78 86.18 44.02 52.22 44.06 77.35 115.06 137.99 146.81 49.80 34.03 34.06 44.42 56.66 83.59
|
||||
1 600.63 264.10 74.51 58.27 39.50 34.39 43.47 51.51 89.11 129.46 47.81 40.45 62.69 119.12 110.59 122.86
|
||||
1 555.65 153.23 61.37 39.27 36.50 29.70 60.31 61.58 74.82 151.64 56.47 25.41 27.77 38.04 58.79 92.98
|
||||
1 640.88 220.98 92.35 66.39 48.73 30.67 57.64 104.29 85.79 127.28 58.95 37.21 46.92 69.47 60.41 100.01
|
||||
1 592.67 199.84 77.53 63.53 41.05 29.97 67.59 76.91 74.57 151.45 71.65 39.01 33.03 47.61 55.67 77.13
|
||||
1 614.21 217.55 73.17 49.25 36.67 33.68 58.64 70.25 100.42 107.36 53.77 30.38 39.40 44.31 55.79 80.33
|
||||
1 543.20 214.33 100.56 68.16 42.76 33.70 74.82 102.74 93.61 230.61 118.02 88.20 78.63 118.37 189.92 267.11
|
||||
1 722.19 218.05 71.53 71.39 52.59 37.45 48.67 108.72 105.27 193.02 76.71 43.48 50.38 55.76 62.64 119.86
|
||||
1 776.90 144.36 84.33 35.37 46.72 27.55 55.88 108.38 100.02 143.58 66.53 36.20 32.15 42.31 65.97 96.45
|
||||
1 744.23 227.00 137.16 55.99 57.06 37.88 68.17 67.92 97.75 125.85 46.50 27.89 28.96 43.58 42.78 80.12
|
||||
1 765.63 203.79 73.34 35.06 36.65 23.53 44.28 63.51 56.69 125.47 50.04 33.98 37.83 56.93 63.14 76.88
|
||||
1 706.03 238.59 89.54 41.43 46.74 33.73 72.71 67.66 87.31 125.57 52.98 35.68 38.48 46.88 49.09 94.08
|
||||
1 676.94 326.98 71.22 40.78 30.39 23.06 53.55 61.35 56.81 140.22 60.29 35.25 35.23 87.33 109.02 140.23
|
||||
1 717.32 191.14 118.29 55.38 56.95 38.62 61.65 80.18 72.46 147.61 52.71 32.62 30.96 34.72 50.20 112.43
|
||||
1 789.22 321.61 166.56 74.93 42.55 32.92 61.68 77.11 79.65 108.98 49.79 26.97 23.40 52.92 53.61 114.17
|
||||
1 428.81 171.97 89.48 42.50 49.86 39.08 72.94 118.26 115.75 186.50 92.81 56.18 60.41 69.21 72.81 99.44
|
||||
1 438.88 161.21 88.47 51.06 67.14 39.54 61.10 106.92 91.50 248.35 124.17 60.37 59.80 77.50 86.56 104.43
|
||||
|
|
@ -0,0 +1,54 @@
|
|||
53 25
|
||||
0 239.71 46.53 40.65 35.90 14.97 14.95 15.28 12.27 10.76 18.93 29.56 52.61 35.26 31.97 74.13 79.94 24.81 18.05 11.91 12.80 20.15 38.00 41.81 66.70 90.68
|
||||
0 191.07 69.64 61.85 24.73 19.13 19.65 12.88 13.01 11.84 17.96 31.15 44.20 30.89 35.01 71.31 53.30 21.90 15.07 12.28 11.20 12.48 31.05 39.59 39.67 59.03
|
||||
0 202.23 66.08 52.75 40.38 12.44 17.31 8.94 12.85 8.78 10.98 24.77 33.38 22.39 28.53 63.91 47.00 17.16 12.71 13.12 14.14 17.18 21.79 37.27 46.54 73.13
|
||||
0 219.53 104.16 101.37 31.81 16.58 16.20 13.75 13.38 10.77 14.41 30.05 31.95 26.89 36.62 60.97 56.87 20.35 13.55 11.70 12.86 22.31 31.76 42.51 56.60 91.20
|
||||
0 214.02 101.11 86.30 30.72 16.41 15.98 10.41 16.63 8.96 12.64 27.60 35.56 29.91 32.59 57.47 51.51 21.00 17.74 18.42 15.22 21.10 39.85 60.08 46.99 59.57
|
||||
0 258.36 130.43 105.33 50.03 27.68 24.50 17.62 24.87 15.65 21.96 44.05 57.19 36.46 36.30 61.92 54.00 23.77 18.57 15.44 14.91 18.18 31.36 53.89 41.19 50.16
|
||||
0 223.70 125.05 78.29 42.92 19.14 22.04 10.27 16.56 9.61 14.15 40.09 55.58 34.04 46.05 81.61 61.70 28.01 19.45 18.94 21.50 38.69 61.22 57.69 59.06 96.01
|
||||
0 239.06 48.84 50.93 41.23 16.20 18.31 17.57 15.16 12.91 16.38 33.90 41.56 30.17 32.55 60.34 81.95 27.18 15.77 13.14 14.00 15.17 52.56 42.49 42.91 63.25
|
||||
0 251.49 74.09 60.42 35.49 19.49 27.32 13.86 15.97 13.67 19.30 39.68 59.87 38.05 38.25 88.06 46.28 22.11 15.12 12.44 16.92 25.63 37.68 33.91 43.18 78.78
|
||||
0 195.37 85.58 68.11 41.08 15.22 13.59 9.31 10.24 10.52 20.40 21.73 32.70 38.98 38.07 60.90 35.22 17.40 21.22 22.98 16.18 23.48 49.32 66.15 68.97 103.70
|
||||
0 228.40 88.88 60.75 45.03 18.11 39.52 17.84 23.03 13.15 15.78 30.12 41.06 35.21 43.24 71.93 71.15 34.95 20.15 17.67 19.32 23.85 25.83 32.44 39.68 54.06
|
||||
0 230.23 69.47 46.45 28.51 16.81 37.40 15.55 23.79 15.46 18.96 34.87 65.14 52.44 42.10 79.02 77.73 29.61 30.29 17.64 13.69 15.58 37.42 41.69 37.27 70.12
|
||||
0 257.01 86.60 66.19 36.53 17.33 29.07 15.29 21.26 12.99 18.09 32.01 54.12 40.41 39.04 84.41 82.19 36.05 33.64 20.25 17.71 41.74 51.84 58.72 88.18 140.99
|
||||
0 219.91 87.06 72.91 59.29 23.43 38.92 29.61 27.98 33.53 31.88 65.92 53.81 39.36 58.17 88.66 56.93 17.95 18.83 15.42 12.66 16.78 36.45 38.22 41.02 69.55
|
||||
0 407.69 85.16 84.38 47.78 23.46 23.60 18.04 16.06 12.73 16.46 33.25 34.10 30.50 35.07 57.01 42.21 16.65 13.77 13.74 13.47 15.97 15.20 12.60 25.30 28.91
|
||||
0 345.36 81.28 116.25 41.58 35.10 28.58 19.03 19.93 12.68 18.21 34.72 39.14 30.10 36.93 66.15 38.73 21.06 10.44 10.47 9.32 10.45 13.45 14.29 19.24 22.93
|
||||
0 385.95 80.88 71.27 30.76 22.10 19.30 17.47 12.27 10.29 12.96 22.05 21.53 17.26 24.39 42.01 34.33 13.66 10.00 9.64 9.23 12.83 18.27 21.11 34.81 30.37
|
||||
0 362.91 92.37 86.86 36.64 27.43 20.18 16.23 17.09 12.02 16.83 37.18 39.96 26.90 32.66 61.48 38.20 18.43 12.55 12.07 14.41 22.59 27.20 43.73 60.09 78.67
|
||||
0 308.18 74.28 69.91 37.47 18.13 17.34 12.72 13.55 11.25 13.20 22.59 31.76 27.38 39.19 49.52 52.51 29.31 15.50 10.34 10.13 17.44 24.62 20.67 27.98 25.42
|
||||
0 362.62 89.45 60.55 34.02 18.24 16.67 13.91 12.21 10.33 12.43 24.11 19.44 21.98 25.55 43.35 34.60 13.70 11.52 12.16 11.11 13.68 19.88 20.41 27.38 37.72
|
||||
0 325.74 117.67 237.94 61.53 28.39 17.26 22.35 16.47 16.68 33.86 42.30 43.66 40.43 58.26 64.30 48.39 20.57 14.88 13.61 10.76 12.60 20.23 22.15 39.05 40.49
|
||||
0 304.45 53.40 54.32 29.21 12.40 13.17 10.26 11.01 8.38 13.57 30.84 29.33 22.02 40.02 52.40 41.01 18.67 16.50 15.54 17.43 33.54 38.69 50.07 55.98 105.51
|
||||
0 313.75 65.58 61.61 35.84 14.70 16.68 17.88 10.87 9.51 13.26 30.23 37.69 26.02 42.70 50.75 42.09 19.27 16.64 14.79 18.56 30.71 33.09 31.59 39.69 33.32
|
||||
0 352.81 54.33 58.23 36.26 14.69 17.83 21.02 12.90 10.90 15.73 37.00 43.23 25.88 30.70 59.44 37.78 17.69 11.80 11.16 19.32 16.05 16.52 15.74 24.88 33.52
|
||||
0 386.43 66.08 63.68 37.18 18.62 20.07 17.15 15.27 10.90 14.11 37.77 34.80 29.51 37.68 59.04 35.35 15.23 11.48 10.95 12.06 15.93 21.93 21.07 36.25 46.79
|
||||
0 378.14 62.32 58.76 37.36 16.70 19.94 21.94 16.66 10.64 15.04 28.74 34.76 26.07 36.97 57.21 72.71 33.90 19.33 14.84 17.21 20.62 27.42 27.05 30.96 38.69
|
||||
0 334.67 77.31 73.29 37.92 19.52 17.11 17.96 14.19 14.12 17.19 33.26 38.98 29.82 37.00 56.78 36.38 16.87 11.14 12.35 15.36 18.69 23.83 34.37 50.98 43.07
|
||||
0 337.85 74.54 76.50 41.68 19.17 18.98 13.36 14.32 13.90 19.67 31.70 40.07 39.89 37.76 71.69 58.21 45.00 27.79 26.23 24.21 23.20 28.79 27.22 35.47 40.06
|
||||
0 317.55 49.15 58.29 39.81 13.79 18.04 12.69 11.40 10.67 13.56 30.47 35.85 27.49 43.44 45.79 64.40 29.53 19.79 11.22 12.73 15.98 16.28 22.90 26.65 36.45
|
||||
0 331.89 65.35 54.80 29.66 14.17 12.29 16.38 13.13 10.79 14.87 21.26 21.66 23.27 30.85 53.15 34.88 16.27 10.69 12.28 9.68 13.38 18.10 12.54 16.85 26.44
|
||||
0 369.55 66.47 55.17 48.22 22.26 18.30 19.09 20.29 12.01 15.46 29.40 38.42 23.99 33.74 69.14 49.30 19.83 16.15 12.42 12.08 15.53 26.18 26.58 47.73 95.23
|
||||
0 316.40 106.94 109.54 91.56 37.58 25.29 25.06 14.10 11.07 16.45 39.75 36.56 31.50 33.15 62.67 39.39 21.99 14.99 11.29 14.59 26.19 44.73 38.20 34.36 53.96
|
||||
0 313.88 60.41 67.62 38.92 23.15 15.55 17.13 13.87 11.81 19.01 29.34 38.19 35.25 34.75 53.70 50.15 18.77 15.13 11.60 15.17 25.14 47.23 46.29 60.95 78.74
|
||||
0 365.60 93.98 66.01 30.49 19.74 22.85 17.02 16.55 11.22 15.97 30.55 36.05 28.90 49.58 48.32 50.30 22.94 13.23 13.09 13.51 14.82 20.10 34.49 45.46 71.40
|
||||
1 448.59 93.27 103.89 47.18 25.75 22.01 16.82 15.11 11.21 15.29 28.81 27.09 25.20 46.07 48.97 29.92 18.15 10.42 12.11 12.26 16.19 18.70 16.86 34.42 36.12
|
||||
1 335.48 61.32 66.75 42.12 21.01 18.44 19.72 12.91 10.87 16.42 38.84 47.44 37.76 55.99 77.48 39.94 18.75 14.77 10.72 12.70 15.69 19.30 28.15 31.41 20.56
|
||||
1 423.79 99.86 143.52 44.04 24.28 18.46 23.66 15.52 16.61 24.50 37.04 48.39 50.47 54.24 71.09 38.90 18.99 15.09 12.77 13.55 16.70 19.40 21.57 33.43 32.12
|
||||
1 357.04 105.54 87.89 33.72 25.64 27.03 14.02 16.79 12.82 16.82 18.96 20.63 22.95 42.60 63.45 31.36 18.77 14.34 19.06 24.00 44.86 49.00 44.24 52.44 46.46
|
||||
1 342.27 51.01 53.76 32.83 18.26 17.87 12.29 15.07 10.80 17.24 29.70 26.59 23.01 34.52 64.86 47.07 20.01 12.14 9.22 11.59 13.25 16.92 20.76 37.04 37.38
|
||||
1 388.28 78.77 77.81 50.82 21.77 30.45 24.28 14.70 12.69 14.94 29.24 49.31 30.04 38.52 51.76 41.32 24.05 16.08 15.03 20.52 22.40 31.31 24.75 33.55 40.75
|
||||
1 349.32 84.90 69.07 39.97 20.92 30.10 16.19 15.65 11.15 16.61 35.50 35.16 22.51 33.24 58.10 56.02 27.68 19.10 13.58 13.11 16.56 22.00 21.26 27.75 32.43
|
||||
1 364.39 88.56 74.19 39.16 20.01 20.83 17.28 12.17 13.19 16.89 29.11 30.49 26.86 47.08 44.19 38.98 20.02 12.91 12.73 15.44 18.69 17.97 19.35 35.71 29.97
|
||||
1 322.92 64.51 89.34 52.35 26.28 33.84 17.05 16.09 12.24 21.87 36.85 43.07 37.88 38.50 103.34 68.99 46.18 35.25 37.20 29.54 43.65 53.77 76.38 91.01 115.93
|
||||
1 432.91 80.99 78.08 38.90 26.24 32.14 22.77 17.23 15.10 16.44 23.43 48.54 36.48 48.57 77.95 65.24 27.32 17.72 18.73 19.99 24.08 22.32 25.73 34.64 52.91
|
||||
1 481.64 56.92 46.33 47.72 15.01 16.21 13.70 20.64 10.50 14.27 29.18 50.52 33.15 45.82 48.85 61.59 22.60 14.78 15.05 12.18 16.32 17.75 27.36 34.40 39.95
|
||||
1 447.99 86.52 75.60 76.13 31.25 23.67 21.21 22.23 15.13 20.67 32.46 28.14 26.65 44.49 61.79 30.60 18.91 12.44 11.04 11.30 15.25 19.11 16.67 25.39 34.57
|
||||
1 459.06 87.58 69.40 39.39 16.61 15.19 15.89 11.68 9.58 12.47 21.55 27.90 21.58 25.14 53.40 37.97 18.65 15.01 13.20 14.54 21.98 24.37 25.64 24.89 35.65
|
||||
1 419.91 94.52 82.22 52.31 17.71 18.21 19.45 16.45 12.81 21.20 34.01 28.57 33.90 32.05 62.37 28.94 21.72 16.28 14.16 15.16 19.21 19.01 18.72 25.72 44.79
|
||||
1 386.75 126.03 125.49 31.20 24.50 17.87 12.65 10.75 9.00 13.89 26.45 25.58 23.06 24.44 52.91 50.29 22.12 16.55 13.03 13.45 24.09 44.80 45.61 40.94 66.06
|
||||
1 431.06 76.57 62.27 63.40 32.08 22.86 21.43 22.56 14.77 17.24 32.05 34.40 27.52 31.22 68.30 38.24 20.36 14.88 12.19 13.01 11.99 15.83 20.31 29.88 52.11
|
||||
1 452.95 147.32 101.93 75.47 54.42 29.90 17.03 16.02 12.68 19.40 28.04 31.91 29.08 35.77 43.59 38.66 18.53 12.56 9.58 9.03 17.01 22.88 17.97 45.89 41.39
|
||||
1 263.82 59.29 51.02 51.68 23.15 17.69 18.49 19.51 15.86 18.15 38.53 51.32 37.82 53.66 56.99 87.40 33.16 26.04 21.76 22.74 29.06 27.99 29.43 29.20 48.12
|
||||
1 269.54 53.40 50.07 51.60 25.01 22.91 28.67 20.16 15.92 17.92 30.96 50.74 33.14 37.41 92.38 98.55 44.30 30.04 20.03 23.47 30.36 33.05 35.79 37.06 45.23
|
||||
|
|
@ -0,0 +1,55 @@
|
|||
53 32
|
||||
0 184.20 10.27 40.46 26.18 20.42 10.79 9.42 6.89 10.41 8.08 5.52 8.95 12.51 18.47 32.67 24.44 20.17 19.57 43.49 62.56 22.04 13.37 10.78 7.62 6.75 8.87 13.94 23.90 25.10 26.78 53.10 53.88
|
||||
0 144.26 17.80 57.50 35.40 13.95 12.70 12.97 8.16 8.75 8.12 6.44 8.98 12.08 19.86 27.17 20.90 20.27 20.65 44.31 40.91 18.83 11.75 8.99 7.61 6.97 6.74 8.24 18.34 25.90 20.43 31.44 34.57
|
||||
0 154.61 13.94 57.00 29.44 25.23 8.55 11.24 6.74 5.77 8.34 5.41 6.20 6.98 15.60 22.01 14.66 14.80 18.72 36.28 39.96 14.35 9.28 7.67 7.29 9.73 8.09 11.15 12.36 23.78 20.45 36.50 44.66
|
||||
0 166.85 20.04 103.26 45.08 19.62 11.45 11.48 6.11 9.67 8.82 5.65 8.41 9.17 19.02 20.90 17.00 17.21 22.06 33.48 47.66 18.15 10.39 8.13 7.19 7.31 9.08 15.28 18.49 27.42 24.89 44.56 55.59
|
||||
0 162.94 18.70 88.49 46.83 18.99 9.66 12.95 5.95 7.05 11.32 4.95 6.56 8.50 17.69 22.43 19.27 18.72 19.79 31.86 40.15 19.30 11.04 10.91 10.98 10.24 9.68 14.25 22.78 39.93 29.07 28.88 38.23
|
||||
0 192.43 32.60 117.66 48.14 30.78 19.09 17.53 10.88 11.38 16.64 9.17 11.35 14.24 28.19 34.79 29.57 21.13 21.65 35.52 41.28 20.11 12.52 11.31 9.49 9.15 9.57 11.49 17.98 34.22 27.28 25.07 31.41
|
||||
0 172.29 17.30 113.80 33.35 27.41 13.53 13.78 10.13 5.97 11.25 5.58 6.74 10.05 25.44 36.54 23.50 20.56 30.76 50.23 45.60 24.33 14.58 11.72 11.78 11.26 16.36 26.02 36.71 41.53 28.83 40.20 62.13
|
||||
0 182.79 14.35 37.89 34.64 25.27 10.59 12.28 8.26 11.76 10.00 7.12 9.12 10.54 21.21 27.08 20.86 17.85 20.67 34.64 57.07 28.50 12.67 9.29 7.90 8.42 8.37 10.56 32.39 29.14 24.14 28.78 40.12
|
||||
0 188.78 22.91 59.50 32.64 22.94 11.50 18.23 10.62 9.37 10.49 7.32 10.13 12.89 25.32 36.11 27.92 25.13 20.72 55.27 40.61 15.34 12.99 8.66 7.08 9.56 11.71 16.61 22.38 23.52 19.89 33.62 49.31
|
||||
0 149.37 14.35 79.69 34.24 23.13 12.73 9.43 5.87 6.17 6.54 5.44 9.49 13.04 12.99 17.40 22.61 28.24 19.72 38.66 28.07 13.23 10.41 13.36 14.16 11.16 10.37 15.89 28.73 41.17 40.51 46.28 65.57
|
||||
0 173.83 18.66 69.66 41.00 25.65 10.32 25.50 13.80 11.97 15.30 7.95 8.40 10.41 18.90 25.22 24.17 21.24 26.88 39.90 55.18 27.93 18.07 11.66 10.37 11.37 13.62 14.09 14.84 21.28 19.93 27.37 33.29
|
||||
0 176.09 14.05 57.75 25.51 17.76 9.69 20.87 15.54 10.26 15.85 9.71 9.79 12.13 22.22 39.08 37.83 27.88 25.05 43.39 59.15 27.43 17.69 18.49 11.37 8.96 7.94 10.57 21.22 29.27 20.53 26.38 45.99
|
||||
0 193.03 24.50 69.40 37.42 22.69 11.01 14.96 14.16 10.35 14.50 7.05 9.82 11.53 19.75 32.59 30.59 21.46 24.16 47.59 65.16 26.30 23.64 19.57 13.11 9.62 14.12 29.66 30.80 34.70 39.92 70.93 84.41
|
||||
0 168.65 13.90 71.86 48.08 37.78 15.94 19.34 22.55 17.64 17.28 19.24 18.90 21.77 42.08 35.91 25.17 23.84 40.65 49.30 47.94 20.28 9.72 11.86 9.82 7.44 8.94 10.74 22.07 24.97 22.79 27.77 45.00
|
||||
0 306.02 38.00 72.07 39.18 30.18 15.54 16.35 9.92 12.16 10.36 7.50 8.66 10.92 21.56 20.52 19.84 18.56 22.28 32.09 35.90 14.39 8.74 8.44 8.21 8.36 8.77 9.78 9.49 7.36 10.23 19.06 16.66
|
||||
0 261.35 29.15 84.01 54.89 23.15 24.33 22.38 9.72 12.95 13.33 6.72 9.58 12.64 20.98 26.83 17.86 19.72 23.31 41.34 29.60 17.39 10.02 6.07 6.16 6.21 5.73 6.63 8.06 8.98 8.72 14.44 13.44
|
||||
0 290.29 34.77 69.71 27.95 19.15 13.61 14.10 9.74 11.40 7.77 5.99 6.81 8.88 13.99 13.16 11.80 11.06 16.28 23.43 27.40 11.85 7.45 6.05 5.80 5.67 6.21 8.32 11.47 11.28 17.41 22.15 18.04
|
||||
0 270.40 36.17 82.71 37.34 21.89 19.21 14.98 9.33 10.73 10.96 6.79 8.63 11.82 23.82 26.44 16.90 17.71 20.68 37.24 29.98 15.29 9.79 7.59 7.09 7.75 10.60 15.13 16.08 26.75 23.06 48.87 46.56
|
||||
0 229.10 34.69 63.19 28.96 24.96 11.17 12.73 7.68 8.24 8.80 5.97 8.05 8.36 14.07 19.45 17.38 17.63 24.67 31.93 33.35 25.10 14.47 9.00 6.37 5.87 7.71 11.45 15.43 12.68 14.07 18.61 14.60
|
||||
0 269.96 40.44 69.81 23.05 21.66 12.14 11.50 7.99 9.04 7.75 6.09 6.67 8.45 15.56 12.12 13.99 12.67 16.02 25.50 27.41 11.54 7.74 6.91 7.59 6.98 6.86 8.90 11.47 15.17 9.46 21.74 22.98
|
||||
0 246.26 36.02 151.28 107.36 36.37 19.01 13.79 8.87 15.14 10.40 8.23 14.60 23.22 25.64 28.85 21.64 32.91 33.41 37.48 37.34 18.13 10.73 8.78 8.35 7.04 6.72 8.44 12.40 12.18 19.84 23.92 25.16
|
||||
0 232.29 17.78 51.02 23.78 18.63 8.28 8.83 5.69 6.81 7.22 4.55 6.57 9.51 20.28 18.09 14.29 14.09 26.78 30.75 33.57 14.92 10.04 10.30 9.21 9.38 14.69 21.14 23.67 28.49 34.18 36.91 69.20
|
||||
0 238.27 20.92 59.02 30.41 22.17 9.58 11.01 8.98 10.79 6.92 5.24 6.76 9.35 19.15 25.22 15.75 17.16 29.48 27.78 34.01 14.52 11.68 9.95 8.32 10.52 14.15 19.46 20.00 19.42 21.61 24.56 19.69
|
||||
0 269.70 17.41 55.12 25.36 22.66 9.41 11.76 7.94 14.58 8.14 6.32 7.70 11.07 23.12 30.30 16.70 16.24 18.90 36.79 30.61 13.47 9.92 6.91 6.16 10.02 11.95 9.57 9.98 9.74 10.62 19.77 19.37
|
||||
0 291.67 27.61 56.92 32.17 22.05 11.40 14.02 8.51 11.78 10.00 6.39 7.56 10.15 23.91 22.69 18.04 20.34 23.28 34.33 30.61 12.48 8.14 6.80 6.27 7.26 8.23 9.99 13.03 13.98 14.26 24.87 30.76
|
||||
0 287.69 22.25 54.29 28.78 24.01 10.85 13.39 9.30 14.92 10.86 6.39 7.80 9.23 18.46 22.42 17.53 15.67 25.28 30.91 49.96 31.83 16.08 11.55 9.16 9.32 11.81 12.79 15.90 18.51 15.25 22.12 23.34
|
||||
0 249.73 34.18 66.98 31.52 23.62 14.14 10.55 9.86 11.27 8.95 7.91 9.68 11.10 21.30 25.29 18.60 20.23 22.91 35.28 26.63 15.20 8.37 6.76 7.00 9.01 10.05 11.90 14.37 19.08 26.60 32.03 25.30
|
||||
0 252.89 34.07 58.12 40.45 26.91 12.28 13.61 8.62 8.29 9.26 6.95 11.28 12.33 19.69 22.78 26.80 24.79 21.42 44.89 38.66 32.94 23.44 16.43 15.08 17.14 12.96 14.53 17.56 18.18 15.61 25.39 23.97
|
||||
0 242.66 15.78 43.78 34.80 23.97 9.24 12.65 6.97 8.40 7.32 5.96 7.19 9.31 19.67 22.16 18.03 17.66 27.97 23.89 47.39 25.14 15.43 11.73 6.87 7.48 8.12 10.31 9.51 14.05 13.76 18.41 22.63
|
||||
0 252.90 18.79 62.40 22.69 17.72 9.69 8.66 5.95 11.24 8.55 5.97 7.67 10.07 13.17 13.50 12.43 16.81 19.07 31.60 28.05 13.82 8.24 6.47 7.46 6.57 6.10 8.87 11.18 8.09 8.47 12.22 16.37
|
||||
0 276.14 34.11 50.50 31.46 26.88 15.53 11.58 10.22 12.30 13.34 7.25 8.52 9.45 18.99 24.18 17.22 16.45 20.89 38.86 42.22 16.73 10.90 9.82 7.76 7.29 7.61 10.40 15.70 16.72 18.66 39.81 59.79
|
||||
0 236.53 40.39 82.24 72.51 53.22 22.15 23.73 9.10 16.98 8.92 6.46 8.04 11.67 25.54 23.79 19.20 21.21 19.28 38.26 31.10 15.60 12.76 8.83 6.80 7.55 11.69 16.99 26.50 29.61 15.59 24.82 34.75
|
||||
0 238.12 22.01 55.70 33.64 21.76 18.26 10.28 7.86 11.62 8.76 6.39 9.50 12.48 17.64 26.07 19.73 21.15 21.56 28.73 42.48 15.05 10.50 9.12 6.90 8.20 11.07 16.91 28.45 30.01 30.23 44.26 46.26
|
||||
0 271.57 41.43 72.45 28.69 18.35 12.71 14.83 10.18 11.36 10.60 7.06 7.83 10.84 19.07 23.29 18.63 18.24 31.88 25.89 41.33 17.28 12.03 7.96 7.75 8.61 8.12 9.24 11.62 21.77 18.18 38.11 42.56
|
||||
1 337.05 43.30 83.37 46.18 28.09 17.46 16.96 8.68 11.29 9.37 7.04 7.43 10.74 18.33 16.92 15.79 17.14 30.07 31.12 21.65 14.07 9.05 6.28 7.68 6.93 8.44 10.00 11.33 10.49 13.71 24.73 21.34
|
||||
1 254.34 23.20 51.20 36.44 27.34 13.67 14.08 8.63 12.80 8.18 5.99 8.20 11.20 23.70 32.13 25.35 21.64 38.52 48.96 31.20 14.75 10.49 9.07 6.31 7.82 7.82 10.00 11.45 16.04 19.11 17.87 11.92
|
||||
1 318.37 39.14 96.89 72.31 25.71 17.38 13.67 8.34 16.45 9.66 8.60 13.36 15.72 22.86 31.08 26.50 34.55 34.17 42.84 30.99 15.05 9.93 9.32 7.72 8.21 8.84 10.28 11.89 12.94 15.30 23.32 18.50
|
||||
1 267.28 33.04 103.34 28.81 21.01 16.29 19.19 9.94 8.84 10.93 7.06 10.11 9.98 11.67 11.77 14.00 13.79 30.66 39.86 24.99 13.99 9.99 8.61 11.55 12.67 18.45 29.96 29.66 27.00 28.21 32.93 28.65
|
||||
1 262.72 15.11 44.08 32.63 18.97 11.73 12.60 7.04 8.28 9.96 5.67 9.16 11.63 18.51 17.43 13.33 16.00 21.42 40.72 34.98 18.53 9.89 7.23 5.52 6.60 7.25 8.45 10.56 11.11 18.17 24.44 22.13
|
||||
1 294.93 25.54 65.80 44.68 31.29 14.91 21.26 11.88 15.11 9.34 7.46 7.87 10.21 18.51 32.35 19.80 18.68 24.35 31.15 32.42 16.01 13.55 9.73 8.95 11.37 12.07 15.01 19.51 16.75 13.60 25.04 24.73
|
||||
1 261.16 35.17 66.75 33.22 26.74 12.07 18.06 13.70 10.44 10.12 6.67 8.29 10.89 22.80 23.55 14.99 14.40 22.83 31.99 43.70 20.65 15.36 11.41 8.18 8.40 8.11 10.81 12.87 14.44 13.34 18.11 20.32
|
||||
1 272.46 34.67 71.50 37.32 24.40 12.19 15.25 9.36 10.85 7.50 7.21 9.60 11.18 18.12 19.11 16.03 19.29 30.89 24.03 29.65 16.83 10.24 7.85 7.34 9.22 10.38 11.10 11.14 10.50 17.20 22.98 17.35
|
||||
1 242.91 28.67 62.63 44.59 29.97 20.37 19.60 14.43 10.90 10.51 6.55 10.27 14.20 23.18 28.75 22.63 22.14 24.52 65.68 49.59 32.91 26.38 20.33 23.82 18.94 20.12 28.20 30.86 47.38 47.46 60.49 73.18
|
||||
1 325.17 35.93 74.79 34.30 20.82 14.96 20.30 15.37 15.49 10.84 8.16 10.54 9.56 14.74 28.98 25.39 21.14 31.53 44.16 52.28 24.64 13.84 10.84 10.90 12.29 12.89 14.90 12.95 16.79 14.52 27.99 31.61
|
||||
1 369.75 18.65 45.09 27.07 30.81 11.38 10.43 7.25 9.38 13.99 6.09 7.67 9.24 18.65 30.36 23.77 22.40 27.76 28.87 42.63 22.60 11.08 9.00 9.10 8.18 7.88 10.34 10.81 15.82 16.99 23.54 24.58
|
||||
1 336.86 35.26 67.14 46.40 43.73 24.96 16.78 11.19 14.09 14.40 8.77 10.16 14.93 19.18 19.52 14.45 18.13 30.55 38.85 24.24 12.58 10.76 7.37 6.60 6.80 7.66 9.64 12.10 10.12 11.26 18.23 21.73
|
||||
1 347.20 35.61 69.37 32.59 24.86 11.90 10.30 7.24 10.65 7.68 5.44 6.31 8.83 13.22 17.44 14.36 13.62 14.73 33.32 29.33 15.11 10.04 9.06 7.97 8.62 10.25 13.95 14.48 15.61 15.99 14.97 23.17
|
||||
1 315.37 37.63 79.73 39.74 32.22 12.57 11.32 9.41 12.72 10.67 7.33 9.49 15.20 20.97 18.46 15.58 27.90 15.67 41.50 21.39 13.85 12.65 9.51 8.35 9.46 9.75 11.84 11.61 11.10 13.35 17.56 29.14
|
||||
1 287.72 50.72 121.22 42.38 19.15 16.49 13.04 7.34 8.29 6.93 5.02 6.50 10.27 16.43 16.21 14.47 15.16 13.31 30.94 39.02 17.77 12.51 9.78 7.92 7.82 9.68 16.47 26.86 29.81 24.90 27.91 41.70
|
||||
1 323.15 35.55 60.72 34.79 35.50 23.75 16.16 11.54 13.73 14.75 9.10 10.23 10.77 19.95 23.25 16.86 18.23 18.13 42.11 31.51 15.73 10.86 8.89 7.44 8.29 7.19 7.59 9.72 11.56 13.49 23.53 32.28
|
||||
1 337.83 56.74 106.02 54.87 46.56 36.71 24.65 12.82 11.16 10.13 7.23 9.18 14.04 16.80 18.95 19.61 17.82 22.01 23.89 30.56 15.65 9.33 7.57 5.95 5.56 6.08 12.14 14.30 10.29 16.37 33.36 23.68
|
||||
1 202.47 11.91 52.61 33.38 29.28 15.46 12.56 8.71 12.14 12.82 8.54 11.02 11.29 25.09 31.61 27.62 18.99 38.82 29.81 63.37 28.86 17.71 16.02 12.10 15.08 15.07 17.43 17.12 17.57 18.85 17.38 32.20
|
||||
1 208.15 11.23 41.29 39.29 27.51 16.72 15.42 10.10 20.29 13.31 8.61 11.16 11.07 19.35 34.13 19.40 23.72 21.93 53.78 70.16 39.48 23.01 18.28 11.95 13.21 16.57 18.50 20.24 21.93 21.37 24.43 27.73
|
||||
|
||||
|
|
@ -0,0 +1,55 @@
|
|||
53 64
|
||||
0 85.26 6.84 2.54 2.54 12.43 7.85 4.88 8.15 6.11 4.13 3.45 1.94 1.77 2.94 2.11 1.35 2.26 2.93 2.57 1.48 1.32 1.43 1.98 2.45 2.92 3.31 4.28 4.90 7.44 8.86 6.88 5.43 5.24 4.89 6.01 3.73 8.70 12.66 17.50 14.06 6.77 4.43 3.63 3.12 2.82 2.58 1.99 1.83 1.63 1.75 2.12 2.28 3.09 3.79 5.73 6.19 5.95 6.45 6.43 6.82 11.03 15.07 14.29 12.99
|
||||
0 63.47 8.66 4.18 4.72 16.50 12.25 10.63 7.08 3.45 3.55 3.51 2.86 2.46 3.99 2.62 1.48 1.39 2.92 2.54 1.58 1.53 1.68 2.09 2.38 2.74 3.31 4.40 5.46 6.34 7.23 6.09 4.47 4.57 5.50 7.67 2.68 7.95 13.90 12.13 8.61 5.63 3.86 3.11 2.80 2.35 2.19 2.03 1.78 1.75 1.73 1.69 1.70 1.76 2.31 3.45 5.50 6.60 6.40 5.42 4.87 5.92 9.52 9.85 7.68
|
||||
0 70.40 6.91 2.91 4.01 15.21 13.34 6.77 7.93 5.01 7.62 2.58 1.70 2.04 3.59 2.28 1.09 1.45 1.44 2.55 1.61 1.46 1.25 1.42 1.66 1.56 1.90 2.84 4.89 5.32 5.67 4.17 3.24 3.36 3.95 4.90 4.41 5.22 12.52 12.40 8.03 4.34 3.02 2.52 2.15 1.95 1.89 1.63 2.00 2.52 2.34 1.87 2.14 2.80 2.78 2.84 3.27 5.86 6.01 4.79 5.36 7.21 10.70 10.23 11.85
|
||||
0 75.82 7.61 4.11 5.70 25.39 26.53 15.21 7.37 3.84 5.98 3.56 2.17 2.10 3.65 1.93 1.11 1.62 3.22 2.99 1.43 1.29 1.54 1.95 2.24 2.07 2.45 3.69 5.77 5.66 4.83 4.35 4.15 3.82 4.73 5.80 5.42 3.65 12.47 14.89 9.34 5.51 3.75 2.90 2.34 2.07 2.01 1.92 1.70 1.87 1.78 2.03 2.44 3.57 4.00 4.40 4.80 7.31 6.44 5.65 6.69 9.27 12.55 14.76 13.30
|
||||
0 73.42 8.05 3.89 5.22 25.29 19.16 15.27 8.25 4.55 4.95 2.43 2.40 2.78 3.71 1.72 1.26 1.23 2.24 4.20 1.53 1.17 1.28 1.59 1.70 2.00 2.22 3.47 5.32 5.44 5.77 5.06 4.55 4.31 5.03 6.61 3.31 8.13 7.52 12.69 7.62 5.94 3.80 3.03 2.55 2.57 2.87 2.64 2.81 2.96 2.22 2.24 2.57 3.25 3.80 4.54 6.70 9.73 10.17 7.45 7.19 7.13 7.18 9.52 9.63
|
||||
0 82.97 13.26 7.90 8.11 32.19 27.00 15.55 8.77 5.47 9.91 5.88 3.68 3.97 4.81 3.17 2.30 2.27 3.39 5.64 2.69 2.26 2.30 2.58 3.09 3.38 3.73 5.87 8.08 8.70 8.77 8.45 6.39 4.43 5.98 4.19 6.71 6.47 11.18 12.01 8.82 5.81 4.32 3.41 2.89 2.94 2.74 2.38 2.35 2.34 2.26 2.26 2.48 2.74 2.98 3.57 5.25 8.30 8.72 7.21 6.51 6.06 6.37 7.09 8.47
|
||||
0 80.02 6.13 2.77 5.75 26.50 30.46 9.31 7.40 3.69 10.01 4.52 2.27 2.50 4.39 2.90 2.17 1.32 1.66 4.05 1.58 1.31 1.48 1.60 1.76 2.26 2.73 4.86 7.78 10.25 7.97 6.97 4.91 5.13 5.17 6.33 9.02 9.07 15.82 12.78 10.15 7.30 5.04 3.90 3.42 2.96 2.93 3.00 2.90 2.74 2.84 3.59 4.53 5.95 6.95 8.18 10.02 11.30 9.68 6.43 7.81 9.73 10.32 13.50 17.18
|
||||
0 83.79 7.61 3.36 3.77 10.75 8.25 6.53 10.78 6.37 6.27 3.11 2.12 2.42 3.76 2.35 1.78 2.70 3.18 3.66 1.36 1.47 2.06 2.10 2.45 2.22 3.02 4.51 5.97 7.48 6.11 5.46 5.03 4.16 4.73 4.56 5.68 5.84 11.30 13.15 15.64 8.78 5.61 3.53 2.89 2.41 2.24 1.93 2.00 2.12 2.09 2.19 2.01 2.06 3.11 6.02 9.85 8.65 6.12 6.01 6.07 6.34 7.92 9.26 10.56
|
||||
0 82.49 11.91 6.20 5.21 16.29 13.52 9.44 6.92 5.65 5.82 3.07 2.68 3.45 5.62 3.74 1.61 1.86 2.80 3.64 1.63 1.64 2.02 2.25 2.79 2.74 3.68 5.01 7.55 8.13 9.87 8.50 5.51 5.60 7.10 3.38 6.97 12.03 15.04 13.84 7.01 4.22 3.47 3.34 3.20 2.57 1.81 1.66 1.87 2.30 2.44 2.72 3.07 4.01 4.32 4.65 6.35 6.96 5.00 4.57 5.23 6.85 9.67 11.69 12.86
|
||||
0 68.89 5.80 2.90 4.09 20.69 19.29 9.53 7.60 4.15 7.39 4.59 1.81 1.95 2.76 1.83 1.12 1.10 1.95 2.02 1.27 1.31 1.40 1.89 2.83 3.18 3.31 3.26 3.24 3.94 4.74 6.57 4.72 6.53 7.52 4.24 5.76 8.25 10.81 8.49 5.75 3.85 2.85 2.57 2.61 3.04 3.59 3.48 3.60 3.20 2.45 2.34 2.80 3.50 4.36 5.42 8.67 10.57 9.91 10.16 10.26 10.10 12.73 15.65 16.93
|
||||
0 78.43 8.48 4.03 4.92 22.06 13.12 10.69 9.82 6.60 6.23 2.92 2.24 3.46 9.28 4.71 2.20 2.67 3.25 5.60 2.12 1.98 1.98 2.05 2.17 2.51 2.65 3.72 5.64 6.32 6.31 6.26 5.81 4.64 5.92 8.90 4.59 6.06 13.36 17.49 10.52 7.78 6.29 4.85 4.27 3.29 2.57 2.40 2.76 3.04 2.66 3.04 3.69 3.75 3.36 3.27 4.03 5.69 4.98 4.41 5.47 6.13 7.44 7.64 9.00
|
||||
0 80.80 7.25 3.21 3.81 17.28 11.61 6.08 6.67 4.26 4.60 2.61 2.25 3.13 7.29 5.55 2.24 1.67 3.40 5.41 2.56 2.43 2.41 2.21 2.69 2.98 3.07 3.95 6.97 9.41 10.09 9.89 9.09 6.62 7.36 6.48 5.88 8.27 13.11 17.60 12.27 9.03 4.94 4.12 4.68 5.24 4.09 3.28 2.43 2.36 2.17 1.98 1.99 2.25 2.92 4.05 6.36 8.45 6.30 5.38 4.92 6.03 6.94 9.60 13.09
|
||||
0 82.93 13.59 6.35 5.66 19.80 15.10 10.74 7.96 6.72 4.65 3.12 2.40 2.61 4.88 5.32 1.76 2.40 2.77 5.16 2.12 1.75 1.76 2.29 2.61 2.85 2.89 3.64 6.08 7.77 8.56 8.38 6.97 5.20 5.52 7.52 4.60 8.19 15.22 18.95 13.84 8.16 5.24 5.44 6.30 5.70 4.17 3.57 3.04 2.52 2.34 2.97 3.96 6.33 8.30 7.74 7.70 8.73 8.48 9.52 10.41 13.74 20.59 23.71 19.36
|
||||
0 76.95 7.38 3.02 3.83 23.54 12.48 12.49 11.57 5.76 12.87 5.07 3.14 3.28 6.41 6.11 5.17 3.85 4.96 5.45 3.07 4.52 5.21 5.13 4.24 4.75 6.20 8.97 11.98 10.15 7.86 7.09 5.53 6.36 5.59 8.80 11.37 7.63 16.49 16.45 8.01 7.12 3.36 2.46 2.41 2.89 3.02 2.71 2.23 2.01 1.74 1.98 2.44 2.37 2.94 4.50 6.42 6.99 5.58 5.36 5.93 6.46 7.17 10.78 11.81
|
||||
0 135.42 17.59 10.05 8.95 19.79 16.29 11.08 8.53 4.58 10.50 4.53 3.27 3.37 4.83 2.97 1.99 2.10 3.95 3.21 2.01 1.78 1.95 1.93 2.38 2.46 3.00 4.69 5.98 4.99 5.32 5.45 4.47 4.61 4.69 6.91 4.22 5.31 10.55 11.51 6.70 4.21 3.10 2.31 2.07 2.14 2.10 1.87 2.21 2.14 2.07 2.01 2.33 2.52 2.37 2.63 2.17 1.89 1.80 2.06 2.93 4.22 5.21 4.40 4.07
|
||||
0 119.36 11.32 6.99 7.59 20.61 21.32 15.35 12.25 4.87 6.67 7.36 4.79 4.48 6.75 2.94 1.93 2.01 4.42 4.46 2.30 1.64 1.72 2.20 2.59 2.66 3.60 3.79 6.60 8.18 5.34 4.49 4.40 4.67 5.15 7.66 3.96 8.67 11.96 9.17 5.82 4.66 4.08 2.93 2.15 1.66 1.39 1.52 1.54 1.74 1.39 1.37 1.48 1.56 1.74 1.97 2.07 2.33 2.15 2.09 2.23 3.10 4.04 3.74 3.06
|
||||
0 128.92 16.23 9.12 8.27 19.07 15.79 7.85 6.17 4.29 5.20 4.01 2.87 3.61 3.45 2.81 2.06 2.44 3.24 2.29 1.61 1.47 1.53 1.67 1.71 2.04 2.39 3.28 3.71 3.33 3.27 3.29 2.63 2.53 2.96 4.93 3.02 5.10 6.65 8.22 5.58 3.70 2.35 2.00 1.75 1.55 1.48 1.39 1.51 1.50 1.35 1.39 1.69 1.98 2.15 2.85 2.86 2.67 2.94 3.82 4.80 5.55 5.53 4.65 4.38
|
||||
0 117.90 17.31 10.25 7.81 23.71 17.68 11.99 6.70 4.15 6.78 5.84 3.78 3.58 3.93 2.58 2.07 2.07 3.28 3.53 1.98 1.74 1.64 1.88 2.43 2.32 3.54 4.59 7.30 7.49 5.69 4.53 3.95 4.36 4.28 4.37 6.11 6.21 12.23 9.42 5.84 4.46 3.20 2.81 2.15 1.95 1.84 1.70 1.84 1.98 1.88 2.41 2.85 3.36 4.13 4.19 3.85 5.53 7.70 5.90 5.67 10.06 13.93 12.87 10.69
|
||||
0 98.91 15.65 9.18 8.13 16.86 14.80 8.93 5.54 5.88 6.61 2.98 2.62 2.91 3.49 2.14 1.68 1.62 2.51 2.72 1.69 1.42 1.54 1.94 2.10 1.84 2.33 2.84 4.10 4.74 5.01 4.76 3.94 4.19 4.62 5.86 6.61 5.22 10.43 8.32 8.43 7.11 5.60 4.02 3.23 2.46 2.14 1.70 1.49 1.52 1.41 1.59 2.20 2.63 3.04 3.56 4.17 3.31 3.06 3.22 3.73 4.33 4.96 3.61 3.78
|
||||
0 116.34 18.64 10.86 9.32 20.57 14.39 6.88 4.70 5.62 5.19 3.36 2.72 2.62 3.15 2.19 1.78 1.92 2.61 2.08 1.81 1.48 1.57 1.59 1.71 1.83 2.37 3.66 4.13 3.17 2.90 3.14 3.81 3.00 3.35 4.21 3.80 4.04 8.54 8.26 5.60 3.54 2.33 2.05 1.82 1.73 1.75 1.82 1.98 1.70 1.79 1.60 1.82 2.11 2.31 2.57 3.13 4.14 3.50 2.08 2.55 4.82 5.97 5.67 5.83
|
||||
0 112.50 10.62 7.50 10.52 29.30 46.07 32.71 21.40 11.48 6.75 5.37 4.14 3.62 3.32 2.22 2.17 3.20 4.37 3.07 2.22 1.93 2.14 3.13 4.17 5.35 6.21 5.81 6.94 7.37 7.15 5.14 5.62 6.85 9.22 11.54 5.33 7.92 10.82 11.16 7.71 5.31 3.87 2.76 2.64 2.34 2.06 2.04 2.15 1.95 1.60 1.62 1.71 1.84 2.35 3.02 3.16 2.88 3.20 3.90 5.83 6.19 5.79 6.18 6.36
|
||||
0 107.51 8.64 4.56 4.27 14.35 11.23 6.28 5.61 3.87 5.45 2.39 1.75 1.65 2.77 1.63 1.21 1.17 2.22 2.41 1.22 1.09 1.19 1.45 1.84 1.86 2.82 4.77 5.40 4.94 4.12 4.15 3.00 3.61 3.42 6.38 7.11 4.91 10.07 10.80 6.23 4.28 3.32 2.76 2.26 2.57 2.57 2.33 2.27 2.56 2.15 2.94 4.21 5.67 4.99 5.09 6.65 6.69 7.38 8.45 8.70 7.82 10.37 16.09 18.09
|
||||
0 109.76 9.37 5.56 4.91 17.83 11.67 8.12 7.05 5.97 5.14 2.65 2.18 2.13 3.38 2.03 2.45 3.25 2.16 1.95 1.53 1.32 1.30 1.62 1.74 1.93 2.72 3.86 5.62 6.82 5.78 4.09 3.84 4.31 4.23 5.47 9.17 5.04 8.71 10.51 6.73 4.37 2.99 2.91 2.93 2.71 2.32 1.86 2.26 2.75 2.51 2.98 3.94 5.08 4.66 4.86 5.15 5.15 4.59 4.95 5.77 6.37 5.97 5.17 4.70
|
||||
0 125.93 8.93 4.69 3.99 14.50 13.09 6.49 6.19 5.85 5.48 2.67 2.06 2.17 3.71 2.37 1.60 3.51 3.77 2.43 1.63 1.60 1.58 1.80 2.03 2.42 3.08 4.38 7.01 8.91 6.39 4.43 4.00 3.82 4.25 5.73 3.79 6.77 11.29 9.49 6.15 3.87 2.95 2.61 2.36 1.94 1.54 1.36 1.71 2.20 2.73 3.28 2.72 2.42 2.38 2.48 2.52 2.54 2.34 2.40 2.86 3.89 5.78 5.23 4.60
|
||||
0 130.35 15.49 8.09 5.73 16.30 12.16 7.34 8.76 5.09 5.93 3.11 2.62 2.91 4.09 2.61 1.66 2.19 3.67 3.18 1.85 1.55 1.65 1.68 2.09 1.96 3.02 4.42 7.52 6.24 5.11 4.58 4.48 4.72 5.31 7.10 4.59 5.55 11.27 10.14 5.57 3.55 2.77 2.17 1.92 1.74 1.69 1.53 1.57 1.99 1.66 1.86 2.22 2.53 2.46 2.63 3.79 4.01 3.03 3.05 3.98 6.66 5.72 6.57 8.66
|
||||
0 132.83 11.01 5.96 5.13 16.65 10.52 7.55 6.87 4.70 7.30 3.23 2.21 2.61 4.09 2.73 1.90 2.92 4.53 3.48 1.99 1.62 1.58 1.66 2.20 2.24 2.39 3.36 5.79 5.74 5.50 4.67 4.07 3.73 4.09 4.92 7.60 5.08 10.19 13.16 11.88 9.54 6.69 4.59 3.51 2.98 2.84 2.47 2.11 2.26 2.38 2.76 3.11 3.21 3.16 3.42 4.44 5.48 3.95 3.65 3.84 4.86 6.18 5.29 6.32
|
||||
0 108.41 16.48 9.07 8.01 18.58 14.91 9.22 6.60 4.92 6.88 4.24 2.85 2.38 2.90 2.48 2.42 2.86 2.78 2.44 2.04 1.91 2.06 2.27 2.55 2.55 3.00 4.39 6.08 6.77 5.98 4.99 4.33 4.50 5.52 6.64 4.78 6.28 11.18 7.96 5.65 4.51 3.18 2.33 1.90 1.69 1.69 1.66 1.82 2.31 2.18 2.38 2.61 2.90 3.03 3.16 3.97 4.54 4.92 5.83 7.22 8.50 7.58 7.05 5.82
|
||||
0 110.23 16.21 8.88 8.11 17.02 12.08 13.06 7.20 4.55 8.90 3.42 2.73 3.04 3.79 2.35 1.95 1.73 2.40 2.79 1.85 1.55 1.92 2.55 3.07 2.87 3.29 4.10 5.70 6.78 4.53 7.11 6.37 5.79 6.44 7.11 3.70 8.85 13.31 10.28 9.18 8.48 8.15 6.27 5.47 4.75 3.63 3.33 4.05 4.66 4.04 3.28 3.22 3.32 3.90 4.19 4.50 5.01 4.16 3.56 4.18 5.89 6.63 6.17 5.91
|
||||
0 113.05 8.28 4.37 3.47 13.52 8.38 7.04 10.36 6.50 5.49 2.71 1.92 2.22 4.11 2.00 1.50 1.76 2.42 2.17 1.50 1.28 1.69 1.70 1.91 1.84 2.77 4.06 5.78 5.28 5.67 5.23 3.94 4.16 4.64 5.77 8.32 5.03 6.55 14.05 9.74 7.32 5.43 4.05 3.67 3.32 2.61 1.82 1.63 1.77 1.95 1.95 2.11 2.47 2.66 2.55 2.21 3.26 3.75 3.22 3.57 4.21 4.97 5.60 5.72
|
||||
0 117.69 8.76 5.17 4.20 18.27 12.96 5.68 5.69 4.03 4.82 2.77 2.11 1.89 2.45 1.56 1.40 2.13 3.48 2.69 1.60 1.39 1.59 1.78 2.04 2.13 2.90 2.99 3.54 3.58 3.21 3.01 3.18 3.99 4.39 6.40 3.06 5.08 10.63 8.41 5.76 3.98 2.98 2.29 1.86 1.60 1.62 1.77 1.93 1.87 1.47 1.39 1.64 2.03 2.37 2.59 2.93 2.34 1.77 1.99 2.23 2.51 3.55 3.92 4.20
|
||||
0 119.72 18.36 9.74 7.31 14.49 10.79 5.99 9.73 5.83 7.32 5.05 3.06 2.56 3.22 2.61 2.50 1.80 4.31 4.47 2.25 1.80 1.83 1.85 2.40 2.26 2.45 3.73 5.67 6.17 5.82 5.19 3.59 3.63 4.50 6.66 3.82 6.19 12.86 13.51 8.00 5.09 3.43 2.83 2.63 2.59 2.31 2.11 1.83 1.79 1.85 1.90 1.88 2.41 2.75 3.43 4.33 4.63 3.79 4.13 5.10 7.39 12.12 15.33 14.50
|
||||
0 105.24 13.02 9.48 10.70 26.08 15.05 13.49 22.70 18.06 8.50 5.91 5.29 6.06 5.81 2.37 2.17 3.41 5.07 2.65 1.83 1.71 1.53 1.84 2.16 2.33 3.41 5.01 7.59 6.89 5.19 4.80 4.80 4.92 5.60 4.09 5.64 6.05 12.83 9.26 6.48 4.47 3.40 3.28 3.15 2.41 2.03 1.73 1.68 1.77 1.99 2.39 3.34 4.05 4.40 5.50 7.54 9.34 5.72 3.71 4.02 5.87 6.40 7.98 9.36
|
||||
0 109.00 10.06 5.79 5.19 14.50 13.37 8.49 8.36 5.18 5.52 6.92 2.63 2.33 2.85 1.94 1.98 1.67 4.07 2.78 1.66 1.56 1.63 2.06 2.67 2.95 3.25 3.91 4.87 7.28 5.74 4.53 5.36 5.77 4.81 7.13 3.69 4.47 9.73 13.28 8.16 4.44 3.17 2.82 2.49 2.44 2.12 1.77 1.69 2.02 2.08 2.40 3.05 3.68 4.65 6.38 7.65 8.41 6.75 6.83 8.16 9.40 12.48 11.27 11.94
|
||||
0 116.99 18.80 10.98 9.74 22.34 13.87 8.48 5.92 4.88 4.29 3.52 2.85 2.90 4.55 3.13 1.95 1.81 3.88 3.30 2.03 1.84 1.68 1.63 2.24 2.44 2.96 4.19 5.27 5.92 5.74 4.75 4.62 4.11 4.90 8.33 7.81 5.97 6.55 13.04 7.91 4.84 3.89 3.42 2.66 2.06 1.92 1.86 2.01 2.15 2.15 1.95 2.10 2.25 2.36 2.57 3.13 4.91 5.93 4.52 4.54 7.37 11.32 11.09 10.42
|
||||
1 151.12 17.41 11.60 10.11 20.80 20.85 13.39 9.79 5.69 8.34 5.14 3.59 3.57 4.97 2.47 1.87 2.12 3.51 2.88 1.84 1.84 1.69 1.69 2.00 2.34 3.02 4.09 4.97 4.54 4.00 3.95 3.94 3.72 4.71 6.87 8.26 5.15 10.25 6.40 4.60 3.80 3.27 2.45 2.14 1.59 1.56 2.20 1.65 1.65 1.80 1.93 2.22 2.68 2.36 2.50 3.14 2.95 2.34 2.70 3.99 5.94 6.38 5.70 5.10
|
||||
1 115.75 11.42 6.17 5.42 15.74 9.85 10.44 7.82 4.45 9.10 4.10 2.84 3.11 3.94 2.12 2.14 3.46 2.97 2.39 1.70 1.44 1.56 1.88 2.21 2.55 3.03 4.25 7.46 9.00 7.19 6.27 6.35 5.01 5.70 8.05 11.12 9.66 14.82 9.31 6.50 4.37 3.13 2.81 2.47 2.40 2.14 1.60 1.58 2.07 1.83 1.79 2.10 2.33 2.65 2.51 3.16 3.81 4.17 4.66 4.87 4.83 4.13 3.29 2.80
|
||||
1 141.76 17.44 10.42 9.10 24.95 23.38 21.96 14.25 5.91 6.95 5.17 3.51 3.06 3.81 2.23 1.93 3.11 5.10 2.56 2.28 2.07 2.24 2.97 3.61 3.81 4.09 5.08 6.19 7.89 7.66 6.41 6.88 8.74 8.45 10.59 6.40 10.74 10.67 9.59 6.14 4.12 3.51 2.68 2.30 2.32 2.36 1.86 1.97 2.04 2.08 2.08 2.27 2.56 2.62 2.72 3.13 3.34 3.16 3.41 4.16 5.47 6.08 5.42 4.04
|
||||
1 116.18 17.47 9.42 7.04 27.62 24.13 6.77 7.63 5.66 4.83 4.68 3.51 3.67 5.87 3.05 1.99 1.96 2.44 3.41 2.06 1.81 1.74 2.27 2.71 2.50 2.56 2.99 2.83 2.79 3.07 3.20 3.75 3.76 3.16 6.14 9.13 6.76 13.03 8.19 4.56 3.74 3.32 2.69 2.31 1.92 2.34 2.92 2.84 3.08 3.26 3.92 5.12 7.02 7.92 7.10 7.81 6.95 6.55 7.02 7.06 8.57 7.90 7.34 6.97
|
||||
1 123.97 7.39 3.83 3.68 14.15 7.89 8.47 7.84 4.84 4.66 3.28 2.59 2.39 3.92 2.22 1.29 1.56 2.57 3.31 1.69 1.41 1.42 1.93 2.65 2.39 3.37 4.46 4.80 4.39 4.32 3.36 3.31 3.63 4.29 7.70 3.10 6.83 13.25 9.99 7.69 5.63 3.81 2.71 2.27 1.93 1.72 1.39 1.36 1.55 1.72 1.80 1.83 2.03 2.18 2.51 2.74 2.56 2.98 3.70 5.25 5.93 6.23 6.38 4.79
|
||||
1 136.16 11.30 6.75 6.04 20.95 11.96 10.96 11.38 4.72 10.89 4.48 3.02 3.22 7.41 3.02 2.87 4.18 3.41 2.73 1.94 1.78 1.95 1.99 1.96 2.35 2.73 4.01 5.15 7.64 8.53 5.42 4.48 4.75 4.61 6.66 5.58 3.83 11.52 9.26 7.09 4.30 3.79 3.80 3.01 2.60 2.27 2.13 2.37 2.53 3.06 3.31 2.78 3.15 4.30 5.02 4.56 4.51 4.09 3.20 3.52 5.63 6.79 5.59 6.80
|
||||
1 113.37 17.22 9.28 8.31 20.58 12.83 10.74 5.88 6.81 6.38 3.35 2.88 3.53 5.50 4.79 2.10 2.18 3.05 3.14 1.92 1.75 1.59 1.83 2.30 2.43 3.00 4.06 7.25 6.94 4.82 4.13 3.47 3.53 3.61 4.27 7.09 5.76 10.05 12.13 9.85 5.93 4.58 4.05 3.67 3.19 2.56 1.99 2.10 2.13 2.06 1.95 2.08 2.49 2.90 2.96 3.41 4.10 3.18 2.86 3.67 4.71 4.38 4.77 5.28
|
||||
1 118.27 17.97 9.57 7.75 22.46 13.33 10.49 8.19 6.66 5.54 3.28 2.83 3.30 4.35 2.41 2.26 2.80 2.62 2.17 1.59 1.71 1.89 2.26 2.53 2.33 3.16 4.52 4.57 4.96 4.59 4.44 3.55 4.43 5.17 6.73 8.69 4.70 7.14 9.03 6.04 4.83 3.69 2.92 2.23 2.04 1.89 1.72 1.89 2.24 2.39 2.30 2.87 2.94 2.60 2.84 2.74 2.46 2.77 3.49 4.97 5.94 5.58 4.86 3.90
|
||||
1 108.42 13.04 7.54 6.76 14.78 16.60 9.60 12.70 5.17 9.75 7.01 3.24 2.99 6.76 5.11 2.16 2.30 3.17 3.49 1.78 1.59 1.69 2.03 3.07 3.72 3.31 4.55 7.05 7.83 6.56 5.30 5.99 5.83 5.25 6.18 5.93 10.80 21.75 14.54 10.69 8.93 7.28 6.98 6.60 4.95 5.06 5.86 6.09 5.21 4.41 4.32 5.34 6.85 7.50 7.29 8.07 12.23 11.22 11.12 12.65 14.47 15.27 19.04 17.80
|
||||
1 143.75 18.85 10.12 7.80 19.51 17.94 8.90 8.23 5.47 4.93 4.02 3.49 4.59 5.58 5.26 2.43 3.01 4.69 3.12 2.36 1.93 2.15 2.51 2.73 2.48 2.31 3.01 4.32 5.67 8.55 7.34 5.62 5.25 5.24 7.76 8.11 6.81 14.73 15.35 11.23 7.46 4.97 4.00 3.00 2.76 2.65 2.56 2.89 3.12 3.03 3.02 3.38 3.80 3.68 3.08 3.33 4.48 3.98 3.51 3.71 5.70 7.91 7.99 7.85
|
||||
1 175.16 9.71 5.17 4.18 15.21 7.34 6.39 7.15 8.12 7.28 3.44 2.27 1.93 3.30 2.11 1.51 1.71 2.98 4.77 2.23 1.52 1.52 1.74 2.10 2.14 2.46 3.60 5.62 7.35 7.77 7.25 4.77 5.18 5.89 7.50 6.54 6.88 7.30 10.15 11.05 7.31 4.39 3.13 2.41 2.33 2.20 2.09 2.44 2.24 1.90 1.78 2.09 2.53 2.67 2.61 2.79 3.09 4.72 4.14 4.31 5.70 5.99 5.45 6.77
|
||||
1 149.43 19.01 10.06 7.56 21.76 11.86 10.97 12.24 9.34 11.99 8.95 4.02 3.83 4.60 3.12 2.45 2.82 4.20 4.62 2.59 2.29 2.16 2.47 2.59 3.12 4.33 4.38 5.21 5.95 3.79 3.44 3.85 4.24 4.78 6.26 8.88 7.25 12.22 7.56 4.64 3.40 3.00 2.91 2.50 1.98 1.73 1.60 1.69 1.77 1.62 1.72 2.06 2.27 2.55 2.84 3.15 2.57 2.55 2.62 2.95 4.22 4.83 5.28 5.55
|
||||
1 160.19 13.42 9.37 8.43 21.27 13.37 8.73 7.64 5.93 6.41 3.48 2.54 2.27 2.88 2.01 1.61 1.75 3.56 2.47 1.40 1.30 1.42 1.45 1.71 1.87 2.50 3.46 3.14 4.71 3.99 3.85 3.40 3.05 3.70 3.94 3.49 6.34 10.07 8.38 6.38 4.29 3.37 2.64 2.40 2.31 2.24 1.96 2.03 2.06 2.22 2.14 2.92 3.44 3.49 3.56 3.68 4.01 3.75 4.13 3.91 3.59 3.86 4.72 6.67
|
||||
1 139.26 18.43 9.97 8.78 23.26 16.62 8.77 11.14 9.67 6.42 3.56 2.74 2.24 3.41 2.55 2.16 2.53 3.82 3.37 1.98 1.82 1.85 2.07 2.64 3.16 4.42 5.17 5.24 4.91 4.39 3.98 3.82 5.69 8.10 3.79 4.10 11.10 9.61 6.19 4.65 3.50 3.50 3.24 3.10 2.71 2.11 1.95 2.22 2.30 2.42 2.15 2.71 2.93 3.00 2.75 3.06 2.85 2.68 3.10 3.51 4.03 4.65 6.27 8.21
|
||||
1 126.76 17.11 12.52 12.83 30.09 30.52 12.97 8.32 4.96 4.60 4.63 3.63 2.90 3.63 2.21 1.46 1.39 2.75 2.06 1.41 1.25 1.27 1.42 1.81 2.12 2.96 4.22 4.00 4.06 4.06 3.63 3.60 3.43 4.03 3.19 3.64 5.68 9.48 11.74 7.93 5.20 3.83 3.21 3.03 2.67 2.25 1.84 2.11 2.01 1.93 2.04 2.73 3.56 4.57 5.67 7.57 8.20 6.80 6.58 5.94 5.91 7.89 9.17 11.33
|
||||
1 140.91 20.67 10.63 7.19 18.24 12.12 6.84 10.53 9.36 8.14 7.86 4.29 3.85 4.25 3.03 2.72 2.86 4.00 4.34 3.06 2.49 2.05 2.27 2.81 2.47 2.91 4.20 5.73 6.55 5.11 4.02 4.39 4.09 4.95 4.53 4.66 6.91 13.75 10.34 5.75 4.31 3.64 2.89 2.57 2.25 2.20 1.91 1.84 1.95 2.17 1.84 1.77 1.71 2.06 2.37 2.46 2.67 3.07 3.32 3.42 4.59 6.99 7.46 8.55
|
||||
1 148.94 19.98 13.53 14.87 36.44 16.51 13.96 13.61 11.31 11.93 9.07 9.37 6.68 5.74 4.16 2.23 2.20 3.39 3.14 1.94 1.76 1.87 2.08 2.48 2.83 4.16 4.27 4.15 4.82 4.66 5.09 4.73 3.96 4.81 6.40 4.78 5.90 5.80 9.57 5.99 4.39 3.53 2.51 2.18 2.04 1.77 1.53 1.46 1.39 1.39 1.34 1.66 2.71 3.28 3.76 3.43 2.60 2.59 3.13 4.78 7.95 8.74 6.43 5.52
|
||||
1 93.60 7.64 2.97 2.98 16.63 9.69 6.19 10.46 8.52 6.15 5.07 2.66 2.80 3.48 2.35 1.99 2.19 3.87 3.86 2.57 2.07 2.20 2.75 2.74 2.82 2.80 4.28 8.14 8.67 7.12 7.72 6.18 5.38 4.16 7.22 12.12 5.78 8.94 17.19 14.60 8.65 6.00 4.65 4.22 4.29 3.74 2.80 3.19 4.13 3.49 3.24 4.20 4.52 4.24 4.25 4.33 4.39 4.33 4.67 4.78 4.29 4.37 7.17 8.72
|
||||
1 97.91 6.17 2.27 3.29 14.49 6.19 7.29 12.34 7.48 6.29 5.40 2.99 2.88 4.83 3.02 2.03 3.60 6.50 4.28 2.45 2.17 2.13 2.73 2.82 2.57 2.93 4.16 5.48 8.64 8.32 5.14 4.66 5.44 6.39 4.92 6.00 9.96 16.55 19.18 16.17 11.97 8.08 6.32 5.28 5.25 3.93 3.01 3.04 3.22 3.35 3.68 4.55 4.61 4.61 5.16 4.97 5.16 5.81 5.26 5.35 5.98 6.23 6.79 6.87
|
||||
|
||||
|
|
@ -0,0 +1,36 @@
|
|||
#pragma once
|
||||
/*
|
||||
* Copyright (C) 2024 Brett Terpstra
|
||||
*
|
||||
* This program is free software: you can redistribute it and/or modify
|
||||
* it under the terms of the GNU General Public License as published by
|
||||
* the Free Software Foundation, either version 3 of the License, or
|
||||
* (at your option) any later version.
|
||||
*
|
||||
* This program is distributed in the hope that it will be useful,
|
||||
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
* GNU General Public License for more details.
|
||||
*
|
||||
* You should have received a copy of the GNU General Public License
|
||||
* along with this program. If not, see <https://www.gnu.org/licenses/>.
|
||||
*/
|
||||
|
||||
#ifndef COSC_4P80_ASSIGNMENT_2_COMMON_H
|
||||
#define COSC_4P80_ASSIGNMENT_2_COMMON_H
|
||||
|
||||
namespace assign2
|
||||
{
|
||||
struct data_t
|
||||
{
|
||||
bool is_bad = false;
|
||||
std::vector<float> bins;
|
||||
};
|
||||
|
||||
struct data_file_t
|
||||
{
|
||||
std::vector<data_t> data_points;
|
||||
};
|
||||
}
|
||||
|
||||
#endif //COSC_4P80_ASSIGNMENT_2_COMMON_H
|
||||
|
|
@ -0,0 +1,54 @@
|
|||
#pragma once
|
||||
/*
|
||||
* Copyright (C) 2024 Brett Terpstra
|
||||
*
|
||||
* This program is free software: you can redistribute it and/or modify
|
||||
* it under the terms of the GNU General Public License as published by
|
||||
* the Free Software Foundation, either version 3 of the License, or
|
||||
* (at your option) any later version.
|
||||
*
|
||||
* This program is distributed in the hope that it will be useful,
|
||||
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
* GNU General Public License for more details.
|
||||
*
|
||||
* You should have received a copy of the GNU General Public License
|
||||
* along with this program. If not, see <https://www.gnu.org/licenses/>.
|
||||
*/
|
||||
|
||||
#ifndef COSC_4P80_ASSIGNMENT_2_LAYER_H
|
||||
#define COSC_4P80_ASSIGNMENT_2_LAYER_H
|
||||
|
||||
#include <Eigen/Dense>
|
||||
#include <blt/std/types.h>
|
||||
|
||||
namespace assign2
|
||||
{
|
||||
|
||||
class layer_t
|
||||
{
|
||||
public:
|
||||
using matrix_t = Eigen::Matrix<float, Eigen::Dynamic, Eigen::Dynamic>;
|
||||
using vector_t = Eigen::Matrix<float, Eigen::Dynamic, 1>;
|
||||
|
||||
layer_t(const blt::i32 in, const blt::i32 out): in_size(in), out_size(out)
|
||||
{}
|
||||
|
||||
template<typename ActFunction>
|
||||
vector_t forward(const vector_t & in, ActFunction func = ActFunction{})
|
||||
{
|
||||
vector_t out;
|
||||
out.resize(out_size, Eigen::NoChange_t{});
|
||||
out.noalias() = weights.transpose() * in;
|
||||
out.colwise() += bias;
|
||||
return func(out);
|
||||
}
|
||||
|
||||
private:
|
||||
const blt::i32 in_size, out_size;
|
||||
matrix_t weights{};
|
||||
vector_t bias{};
|
||||
};
|
||||
}
|
||||
|
||||
#endif //COSC_4P80_ASSIGNMENT_2_LAYER_H
|
||||
|
|
@ -0,0 +1 @@
|
|||
Subproject commit e81f590f5e4f8c79ec99307fcf7d7cbbfcc83217
|
||||
|
|
@ -0,0 +1,38 @@
|
|||
qrc_*cxx
|
||||
*.orig
|
||||
*.pyc
|
||||
*.diff
|
||||
diff
|
||||
*.save
|
||||
save
|
||||
*.old
|
||||
*.gmo
|
||||
*.qm
|
||||
core
|
||||
core.*
|
||||
*.bak
|
||||
*~
|
||||
*build*
|
||||
*.moc.*
|
||||
*.moc
|
||||
ui_*
|
||||
CMakeCache.txt
|
||||
tags
|
||||
.*.swp
|
||||
activity.png
|
||||
*.out
|
||||
*.php*
|
||||
*.log
|
||||
*.orig
|
||||
*.rej
|
||||
log
|
||||
patch
|
||||
*.patch
|
||||
a
|
||||
a.*
|
||||
lapack/testing
|
||||
lapack/reference
|
||||
.*project
|
||||
.settings
|
||||
Makefile
|
||||
!ci/build.gitlab-ci.yml
|
||||
|
|
@ -0,0 +1,23 @@
|
|||
# This file is part of Eigen, a lightweight C++ template library
|
||||
# for linear algebra.
|
||||
#
|
||||
# Copyright (C) 2020 Arm Ltd. and Contributors
|
||||
#
|
||||
# This Source Code Form is subject to the terms of the Mozilla
|
||||
# Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
# with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
stages:
|
||||
- buildsmoketests
|
||||
- smoketests
|
||||
- build
|
||||
- test
|
||||
|
||||
variables:
|
||||
BUILDDIR: builddir
|
||||
EIGEN_CI_CMAKE_GENEATOR: "Ninja"
|
||||
|
||||
include:
|
||||
- "/ci/smoketests.gitlab-ci.yml"
|
||||
- "/ci/build.gitlab-ci.yml"
|
||||
- "/ci/test.gitlab-ci.yml"
|
||||
|
|
@ -0,0 +1,69 @@
|
|||
<!--
|
||||
Please read this!
|
||||
|
||||
Before opening a new issue, make sure to search for keywords in the issues
|
||||
filtered by "bug::confirmed" or "bug::unconfirmed" and "bugzilla" label:
|
||||
|
||||
- https://gitlab.com/libeigen/eigen/-/issues?scope=all&utf8=%E2%9C%93&state=opened&label_name[]=bug%3A%3Aconfirmed
|
||||
- https://gitlab.com/libeigen/eigen/-/issues?scope=all&utf8=%E2%9C%93&state=opened&label_name[]=bug%3A%3Aunconfirmed
|
||||
- https://gitlab.com/libeigen/eigen/-/issues?scope=all&utf8=%E2%9C%93&state=opened&label_name[]=bugzilla
|
||||
|
||||
and verify the issue you're about to submit isn't a duplicate. -->
|
||||
|
||||
### Summary
|
||||
<!-- Summarize the bug encountered concisely. -->
|
||||
|
||||
### Environment
|
||||
<!-- Please provide your development environment here -->
|
||||
- **Operating System** : Windows/Linux
|
||||
- **Architecture** : x64/Arm64/PowerPC ...
|
||||
- **Eigen Version** : 3.3.9
|
||||
- **Compiler Version** : Gcc7.0
|
||||
- **Compile Flags** : -O3 -march=native
|
||||
- **Vector Extension** : SSE/AVX/NEON ...
|
||||
|
||||
### Minimal Example
|
||||
<!-- If possible, please create a minimal example here that exhibits the problematic behavior.
|
||||
You can also link to [godbolt](https://godbolt.org). But please note that you need to click
|
||||
the "Share" button in the top right-hand corner of the godbolt page where you reproduce the sample
|
||||
code to get the share link instead of in your browser address bar.
|
||||
|
||||
You can read [the guidelines on stackoverflow](https://stackoverflow.com/help/minimal-reproducible-example)
|
||||
on how to create a good minimal example. -->
|
||||
|
||||
```cpp
|
||||
//show your code here
|
||||
```
|
||||
|
||||
### Steps to reproduce
|
||||
<!-- Describe how one can reproduce the issue - this is very important. Please use an ordered list. -->
|
||||
|
||||
1. first step
|
||||
2. second step
|
||||
3. ...
|
||||
|
||||
### What is the current *bug* behavior?
|
||||
<!-- Describe what actually happens. -->
|
||||
|
||||
### What is the expected *correct* behavior?
|
||||
<!-- Describe what you should see instead. -->
|
||||
|
||||
### Relevant logs
|
||||
<!-- Add relevant code snippets or program output within blocks marked by " ``` " -->
|
||||
|
||||
<!-- OPTIONAL: remove this section if you are not reporting a compilation warning issue.-->
|
||||
### Warning Messages
|
||||
<!-- Show us the warning messages you got! -->
|
||||
|
||||
<!-- OPTIONAL: remove this section if you are not reporting a performance issue. -->
|
||||
### Benchmark scripts and results
|
||||
<!-- Please share any benchmark scripts - either standalone, or using [Google Benchmark](https://github.com/google/benchmark). -->
|
||||
|
||||
### Anything else that might help
|
||||
<!-- It will be better to provide us more information to help narrow down the cause.
|
||||
Including but not limited to the following:
|
||||
- lines of code that might help us diagnose the problem.
|
||||
- potential ways to address the issue.
|
||||
- last known working/first broken version (release number or commit hash). -->
|
||||
|
||||
- [ ] Have a plan to fix this issue.
|
||||
|
|
@ -0,0 +1,7 @@
|
|||
### Describe the feature you would like to be implemented.
|
||||
|
||||
### Would such a feature be useful for other users? Why?
|
||||
|
||||
### Any hints on how to implement the requested feature?
|
||||
|
||||
### Additional resources
|
||||
|
|
@ -0,0 +1,26 @@
|
|||
<!--
|
||||
Thanks for contributing a merge request! Please name and fully describe your MR as you would for a commit message.
|
||||
If the MR fixes an issue, please include "Fixes #issue" in the commit message and the MR description.
|
||||
|
||||
In addition, we recommend that first-time contributors read our [contribution guidelines](https://eigen.tuxfamily.org/index.php?title=Contributing_to_Eigen) and [git page](https://eigen.tuxfamily.org/index.php?title=Git), which will help you submit a more standardized MR.
|
||||
|
||||
Before submitting the MR, you also need to complete the following checks:
|
||||
- Make one PR per feature/bugfix (don't mix multiple changes into one PR). Avoid committing unrelated changes.
|
||||
- Rebase before committing
|
||||
- For code changes, run the test suite (at least the tests that are likely affected by the change).
|
||||
See our [test guidelines](https://eigen.tuxfamily.org/index.php?title=Tests).
|
||||
- If possible, add a test (both for bug-fixes as well as new features)
|
||||
- Make sure new features are documented
|
||||
|
||||
Note that we are a team of volunteers; we appreciate your patience during the review process.
|
||||
|
||||
Again, thanks for contributing! -->
|
||||
|
||||
### Reference issue
|
||||
<!-- You can link to a specific issue using the gitlab syntax #<issue number> -->
|
||||
|
||||
### What does this implement/fix?
|
||||
<!--Please explain your changes.-->
|
||||
|
||||
### Additional information
|
||||
<!--Any additional information you think is important.-->
|
||||
|
|
@ -0,0 +1,11 @@
|
|||
[patterns]
|
||||
*.sh = LF
|
||||
*.MINPACK = CRLF
|
||||
scripts/*.in = LF
|
||||
debug/msvc/*.dat = CRLF
|
||||
debug/msvc/*.natvis = CRLF
|
||||
unsupported/test/mpreal/*.* = CRLF
|
||||
** = native
|
||||
|
||||
[repository]
|
||||
native = LF
|
||||
|
|
@ -0,0 +1,653 @@
|
|||
# cmake_minimum_require must be the first command of the file
|
||||
cmake_minimum_required(VERSION 3.5.0)
|
||||
|
||||
project(Eigen3)
|
||||
|
||||
# guard against in-source builds
|
||||
|
||||
if(${CMAKE_SOURCE_DIR} STREQUAL ${CMAKE_BINARY_DIR})
|
||||
message(FATAL_ERROR "In-source builds not allowed. Please make a new directory (called a build directory) and run CMake from there. You may need to remove CMakeCache.txt. ")
|
||||
endif()
|
||||
|
||||
|
||||
# Alias Eigen_*_DIR to Eigen3_*_DIR:
|
||||
|
||||
set(Eigen_SOURCE_DIR ${Eigen3_SOURCE_DIR})
|
||||
set(Eigen_BINARY_DIR ${Eigen3_BINARY_DIR})
|
||||
|
||||
# guard against bad build-type strings
|
||||
|
||||
if (NOT CMAKE_BUILD_TYPE)
|
||||
set(CMAKE_BUILD_TYPE "Release")
|
||||
endif()
|
||||
|
||||
|
||||
#############################################################################
|
||||
# retrieve version information #
|
||||
#############################################################################
|
||||
|
||||
# automatically parse the version number
|
||||
file(READ "${PROJECT_SOURCE_DIR}/Eigen/src/Core/util/Macros.h" _eigen_version_header)
|
||||
string(REGEX MATCH "define[ \t]+EIGEN_WORLD_VERSION[ \t]+([0-9]+)" _eigen_world_version_match "${_eigen_version_header}")
|
||||
set(EIGEN_WORLD_VERSION "${CMAKE_MATCH_1}")
|
||||
string(REGEX MATCH "define[ \t]+EIGEN_MAJOR_VERSION[ \t]+([0-9]+)" _eigen_major_version_match "${_eigen_version_header}")
|
||||
set(EIGEN_MAJOR_VERSION "${CMAKE_MATCH_1}")
|
||||
string(REGEX MATCH "define[ \t]+EIGEN_MINOR_VERSION[ \t]+([0-9]+)" _eigen_minor_version_match "${_eigen_version_header}")
|
||||
set(EIGEN_MINOR_VERSION "${CMAKE_MATCH_1}")
|
||||
set(EIGEN_VERSION_NUMBER ${EIGEN_WORLD_VERSION}.${EIGEN_MAJOR_VERSION}.${EIGEN_MINOR_VERSION})
|
||||
|
||||
# if we are not in a git clone
|
||||
if(IS_DIRECTORY ${CMAKE_SOURCE_DIR}/.git)
|
||||
# if the git program is absent or this will leave the EIGEN_GIT_REVNUM string empty,
|
||||
# but won't stop CMake.
|
||||
execute_process(COMMAND git ls-remote --refs -q ${CMAKE_SOURCE_DIR} HEAD OUTPUT_VARIABLE EIGEN_GIT_OUTPUT)
|
||||
endif()
|
||||
|
||||
# extract the git rev number from the git output...
|
||||
if(EIGEN_GIT_OUTPUT)
|
||||
string(REGEX MATCH "^([0-9;a-f]+).*" EIGEN_GIT_CHANGESET_MATCH "${EIGEN_GIT_OUTPUT}")
|
||||
set(EIGEN_GIT_REVNUM "${CMAKE_MATCH_1}")
|
||||
endif()
|
||||
#...and show it next to the version number
|
||||
if(EIGEN_GIT_REVNUM)
|
||||
set(EIGEN_VERSION "${EIGEN_VERSION_NUMBER} (git rev ${EIGEN_GIT_REVNUM})")
|
||||
else()
|
||||
set(EIGEN_VERSION "${EIGEN_VERSION_NUMBER}")
|
||||
endif()
|
||||
|
||||
include(CheckCXXCompilerFlag)
|
||||
include(GNUInstallDirs)
|
||||
include(CMakeDependentOption)
|
||||
|
||||
set(CMAKE_MODULE_PATH ${PROJECT_SOURCE_DIR}/cmake)
|
||||
|
||||
|
||||
option(EIGEN_TEST_CXX11 "Enable testing with C++11 and C++11 features (e.g. Tensor module)." OFF)
|
||||
|
||||
|
||||
macro(ei_add_cxx_compiler_flag FLAG)
|
||||
string(REGEX REPLACE "-" "" SFLAG1 ${FLAG})
|
||||
string(REGEX REPLACE "\\+" "p" SFLAG ${SFLAG1})
|
||||
check_cxx_compiler_flag(${FLAG} COMPILER_SUPPORT_${SFLAG})
|
||||
if(COMPILER_SUPPORT_${SFLAG})
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${FLAG}")
|
||||
endif()
|
||||
endmacro()
|
||||
|
||||
check_cxx_compiler_flag("-std=c++11" EIGEN_COMPILER_SUPPORT_CPP11)
|
||||
|
||||
if(EIGEN_TEST_CXX11)
|
||||
set(CMAKE_CXX_STANDARD 11)
|
||||
set(CMAKE_CXX_EXTENSIONS OFF)
|
||||
if(EIGEN_COMPILER_SUPPORT_CPP11)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++11")
|
||||
endif()
|
||||
else()
|
||||
#set(CMAKE_CXX_STANDARD 03)
|
||||
#set(CMAKE_CXX_EXTENSIONS OFF)
|
||||
ei_add_cxx_compiler_flag("-std=c++03")
|
||||
endif()
|
||||
|
||||
# Determine if we should build shared libraries on this platform.
|
||||
get_cmake_property(EIGEN_BUILD_SHARED_LIBS TARGET_SUPPORTS_SHARED_LIBS)
|
||||
|
||||
#############################################################################
|
||||
# find how to link to the standard libraries #
|
||||
#############################################################################
|
||||
|
||||
find_package(StandardMathLibrary)
|
||||
|
||||
|
||||
set(EIGEN_TEST_CUSTOM_LINKER_FLAGS "" CACHE STRING "Additional linker flags when linking unit tests.")
|
||||
set(EIGEN_TEST_CUSTOM_CXX_FLAGS "" CACHE STRING "Additional compiler flags when compiling unit tests.")
|
||||
|
||||
set(EIGEN_STANDARD_LIBRARIES_TO_LINK_TO "")
|
||||
|
||||
if(NOT STANDARD_MATH_LIBRARY_FOUND)
|
||||
|
||||
message(FATAL_ERROR
|
||||
"Can't link to the standard math library. Please report to the Eigen developers, telling them about your platform.")
|
||||
|
||||
else()
|
||||
|
||||
if(EIGEN_STANDARD_LIBRARIES_TO_LINK_TO)
|
||||
set(EIGEN_STANDARD_LIBRARIES_TO_LINK_TO "${EIGEN_STANDARD_LIBRARIES_TO_LINK_TO} ${STANDARD_MATH_LIBRARY}")
|
||||
else()
|
||||
set(EIGEN_STANDARD_LIBRARIES_TO_LINK_TO "${STANDARD_MATH_LIBRARY}")
|
||||
endif()
|
||||
|
||||
endif()
|
||||
|
||||
if(EIGEN_STANDARD_LIBRARIES_TO_LINK_TO)
|
||||
message(STATUS "Standard libraries to link to explicitly: ${EIGEN_STANDARD_LIBRARIES_TO_LINK_TO}")
|
||||
else()
|
||||
message(STATUS "Standard libraries to link to explicitly: none")
|
||||
endif()
|
||||
|
||||
option(EIGEN_BUILD_BTL "Build benchmark suite" OFF)
|
||||
|
||||
# Disable pkgconfig only for native Windows builds
|
||||
if(NOT WIN32 OR NOT CMAKE_HOST_SYSTEM_NAME MATCHES Windows)
|
||||
option(EIGEN_BUILD_PKGCONFIG "Build pkg-config .pc file for Eigen" ON)
|
||||
endif()
|
||||
|
||||
set(CMAKE_INCLUDE_CURRENT_DIR OFF)
|
||||
|
||||
option(EIGEN_SPLIT_LARGE_TESTS "Split large tests into smaller executables" ON)
|
||||
|
||||
option(EIGEN_DEFAULT_TO_ROW_MAJOR "Use row-major as default matrix storage order" OFF)
|
||||
if(EIGEN_DEFAULT_TO_ROW_MAJOR)
|
||||
add_definitions("-DEIGEN_DEFAULT_TO_ROW_MAJOR")
|
||||
endif()
|
||||
|
||||
set(EIGEN_TEST_MAX_SIZE "320" CACHE STRING "Maximal matrix/vector size, default is 320")
|
||||
|
||||
if(NOT MSVC)
|
||||
# We assume that other compilers are partly compatible with GNUCC
|
||||
|
||||
# clang outputs some warnings for unknown flags that are not caught by check_cxx_compiler_flag
|
||||
# adding -Werror turns such warnings into errors
|
||||
check_cxx_compiler_flag("-Werror" COMPILER_SUPPORT_WERROR)
|
||||
if(COMPILER_SUPPORT_WERROR)
|
||||
set(CMAKE_REQUIRED_FLAGS "-Werror")
|
||||
endif()
|
||||
ei_add_cxx_compiler_flag("-pedantic")
|
||||
ei_add_cxx_compiler_flag("-Wall")
|
||||
ei_add_cxx_compiler_flag("-Wextra")
|
||||
#ei_add_cxx_compiler_flag("-Weverything") # clang
|
||||
|
||||
ei_add_cxx_compiler_flag("-Wundef")
|
||||
ei_add_cxx_compiler_flag("-Wcast-align")
|
||||
ei_add_cxx_compiler_flag("-Wchar-subscripts")
|
||||
ei_add_cxx_compiler_flag("-Wnon-virtual-dtor")
|
||||
ei_add_cxx_compiler_flag("-Wunused-local-typedefs")
|
||||
ei_add_cxx_compiler_flag("-Wpointer-arith")
|
||||
ei_add_cxx_compiler_flag("-Wwrite-strings")
|
||||
ei_add_cxx_compiler_flag("-Wformat-security")
|
||||
ei_add_cxx_compiler_flag("-Wshorten-64-to-32")
|
||||
ei_add_cxx_compiler_flag("-Wlogical-op")
|
||||
ei_add_cxx_compiler_flag("-Wenum-conversion")
|
||||
ei_add_cxx_compiler_flag("-Wc++11-extensions")
|
||||
ei_add_cxx_compiler_flag("-Wdouble-promotion")
|
||||
# ei_add_cxx_compiler_flag("-Wconversion")
|
||||
|
||||
ei_add_cxx_compiler_flag("-Wshadow")
|
||||
|
||||
ei_add_cxx_compiler_flag("-Wno-psabi")
|
||||
ei_add_cxx_compiler_flag("-Wno-variadic-macros")
|
||||
ei_add_cxx_compiler_flag("-Wno-long-long")
|
||||
|
||||
ei_add_cxx_compiler_flag("-fno-check-new")
|
||||
ei_add_cxx_compiler_flag("-fno-common")
|
||||
ei_add_cxx_compiler_flag("-fstrict-aliasing")
|
||||
ei_add_cxx_compiler_flag("-wd981") # disable ICC's "operands are evaluated in unspecified order" remark
|
||||
ei_add_cxx_compiler_flag("-wd2304") # disable ICC's "warning #2304: non-explicit constructor with single argument may cause implicit type conversion" produced by -Wnon-virtual-dtor
|
||||
|
||||
|
||||
# The -ansi flag must be added last, otherwise it is also used as a linker flag by check_cxx_compiler_flag making it fails
|
||||
# Moreover we should not set both -strict-ansi and -ansi
|
||||
check_cxx_compiler_flag("-strict-ansi" COMPILER_SUPPORT_STRICTANSI)
|
||||
ei_add_cxx_compiler_flag("-Qunused-arguments") # disable clang warning: argument unused during compilation: '-ansi'
|
||||
|
||||
if(COMPILER_SUPPORT_STRICTANSI)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -strict-ansi")
|
||||
else()
|
||||
ei_add_cxx_compiler_flag("-ansi")
|
||||
endif()
|
||||
|
||||
if(ANDROID_NDK)
|
||||
ei_add_cxx_compiler_flag("-pie")
|
||||
ei_add_cxx_compiler_flag("-fPIE")
|
||||
endif()
|
||||
|
||||
set(CMAKE_REQUIRED_FLAGS "")
|
||||
|
||||
option(EIGEN_TEST_SSE2 "Enable/Disable SSE2 in tests/examples" OFF)
|
||||
if(EIGEN_TEST_SSE2)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -msse2")
|
||||
message(STATUS "Enabling SSE2 in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_SSE3 "Enable/Disable SSE3 in tests/examples" OFF)
|
||||
if(EIGEN_TEST_SSE3)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -msse3")
|
||||
message(STATUS "Enabling SSE3 in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_SSSE3 "Enable/Disable SSSE3 in tests/examples" OFF)
|
||||
if(EIGEN_TEST_SSSE3)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mssse3")
|
||||
message(STATUS "Enabling SSSE3 in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_SSE4_1 "Enable/Disable SSE4.1 in tests/examples" OFF)
|
||||
if(EIGEN_TEST_SSE4_1)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -msse4.1")
|
||||
message(STATUS "Enabling SSE4.1 in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_SSE4_2 "Enable/Disable SSE4.2 in tests/examples" OFF)
|
||||
if(EIGEN_TEST_SSE4_2)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -msse4.2")
|
||||
message(STATUS "Enabling SSE4.2 in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_AVX "Enable/Disable AVX in tests/examples" OFF)
|
||||
if(EIGEN_TEST_AVX)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mavx")
|
||||
message(STATUS "Enabling AVX in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_FMA "Enable/Disable FMA in tests/examples" OFF)
|
||||
if(EIGEN_TEST_FMA AND NOT EIGEN_TEST_NEON)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mfma")
|
||||
message(STATUS "Enabling FMA in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_AVX2 "Enable/Disable AVX2 in tests/examples" OFF)
|
||||
if(EIGEN_TEST_AVX2)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mavx2 -mfma")
|
||||
message(STATUS "Enabling AVX2 in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_AVX512 "Enable/Disable AVX512 in tests/examples" OFF)
|
||||
if(EIGEN_TEST_AVX512)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mavx512f -mfma")
|
||||
if (NOT "${CMAKE_CXX_COMPILER_ID}" STREQUAL "Clang")
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -fabi-version=6")
|
||||
endif()
|
||||
message(STATUS "Enabling AVX512 in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_AVX512DQ "Enable/Disable AVX512DQ in tests/examples" OFF)
|
||||
if(EIGEN_TEST_AVX512DQ)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mavx512dq")
|
||||
if (NOT "${CMAKE_CXX_COMPILER_ID}" STREQUAL "Clang")
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -fabi-version=6")
|
||||
endif()
|
||||
message(STATUS "Enabling AVX512DQ in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_F16C "Enable/Disable F16C in tests/examples" OFF)
|
||||
if(EIGEN_TEST_F16C)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mf16c")
|
||||
message(STATUS "Enabling F16C in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_ALTIVEC "Enable/Disable AltiVec in tests/examples" OFF)
|
||||
if(EIGEN_TEST_ALTIVEC)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -maltivec -mabi=altivec")
|
||||
message(STATUS "Enabling AltiVec in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_VSX "Enable/Disable VSX in tests/examples" OFF)
|
||||
if(EIGEN_TEST_VSX)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -m64 -mvsx")
|
||||
message(STATUS "Enabling VSX in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_MSA "Enable/Disable MSA in tests/examples" OFF)
|
||||
if(EIGEN_TEST_MSA)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mmsa")
|
||||
message(STATUS "Enabling MSA in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_NEON "Enable/Disable Neon in tests/examples" OFF)
|
||||
if(EIGEN_TEST_NEON)
|
||||
if(EIGEN_TEST_FMA)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mfpu=neon-vfpv4")
|
||||
else()
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mfpu=neon")
|
||||
endif()
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mfloat-abi=hard")
|
||||
message(STATUS "Enabling NEON in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_NEON64 "Enable/Disable Neon in tests/examples" OFF)
|
||||
if(EIGEN_TEST_NEON64)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}")
|
||||
message(STATUS "Enabling NEON in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_Z13 "Enable/Disable S390X(zEC13) ZVECTOR in tests/examples" OFF)
|
||||
if(EIGEN_TEST_Z13)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -march=z13 -mzvector")
|
||||
message(STATUS "Enabling S390X(zEC13) ZVECTOR in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_Z14 "Enable/Disable S390X(zEC14) ZVECTOR in tests/examples" OFF)
|
||||
if(EIGEN_TEST_Z14)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -march=z14 -mzvector")
|
||||
message(STATUS "Enabling S390X(zEC13) ZVECTOR in tests/examples")
|
||||
endif()
|
||||
|
||||
check_cxx_compiler_flag("-fopenmp" COMPILER_SUPPORT_OPENMP)
|
||||
if(COMPILER_SUPPORT_OPENMP)
|
||||
option(EIGEN_TEST_OPENMP "Enable/Disable OpenMP in tests/examples" OFF)
|
||||
if(EIGEN_TEST_OPENMP)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -fopenmp")
|
||||
message(STATUS "Enabling OpenMP in tests/examples")
|
||||
endif()
|
||||
endif()
|
||||
|
||||
else()
|
||||
|
||||
# C4127 - conditional expression is constant
|
||||
# C4714 - marked as __forceinline not inlined (I failed to deactivate it selectively)
|
||||
# We can disable this warning in the unit tests since it is clear that it occurs
|
||||
# because we are oftentimes returning objects that have a destructor or may
|
||||
# throw exceptions - in particular in the unit tests we are throwing extra many
|
||||
# exceptions to cover indexing errors.
|
||||
# C4505 - unreferenced local function has been removed (impossible to deactivate selectively)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /EHsc /wd4127 /wd4505 /wd4714")
|
||||
|
||||
# replace all /Wx by /W4
|
||||
string(REGEX REPLACE "/W[0-9]" "/W4" CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}")
|
||||
|
||||
check_cxx_compiler_flag("/openmp" COMPILER_SUPPORT_OPENMP)
|
||||
if(COMPILER_SUPPORT_OPENMP)
|
||||
option(EIGEN_TEST_OPENMP "Enable/Disable OpenMP in tests/examples" OFF)
|
||||
if(EIGEN_TEST_OPENMP)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /openmp")
|
||||
message(STATUS "Enabling OpenMP in tests/examples")
|
||||
endif()
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_SSE2 "Enable/Disable SSE2 in tests/examples" OFF)
|
||||
if(EIGEN_TEST_SSE2)
|
||||
if(NOT CMAKE_CL_64)
|
||||
# arch is not supported on 64 bit systems, SSE is enabled automatically.
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /arch:SSE2")
|
||||
endif()
|
||||
message(STATUS "Enabling SSE2 in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_AVX "Enable/Disable AVX in tests/examples" OFF)
|
||||
if(EIGEN_TEST_AVX)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /arch:AVX")
|
||||
message(STATUS "Enabling AVX in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_FMA "Enable/Disable FMA/AVX2 in tests/examples" OFF)
|
||||
if(EIGEN_TEST_FMA AND NOT EIGEN_TEST_NEON)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /arch:AVX2")
|
||||
message(STATUS "Enabling FMA/AVX2 in tests/examples")
|
||||
endif()
|
||||
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_NO_EXPLICIT_VECTORIZATION "Disable explicit vectorization in tests/examples" OFF)
|
||||
option(EIGEN_TEST_X87 "Force using X87 instructions. Implies no vectorization." OFF)
|
||||
option(EIGEN_TEST_32BIT "Force generating 32bit code." OFF)
|
||||
|
||||
if(EIGEN_TEST_X87)
|
||||
set(EIGEN_TEST_NO_EXPLICIT_VECTORIZATION ON)
|
||||
if(CMAKE_COMPILER_IS_GNUCXX)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mfpmath=387")
|
||||
message(STATUS "Forcing use of x87 instructions in tests/examples")
|
||||
else()
|
||||
message(STATUS "EIGEN_TEST_X87 ignored on your compiler")
|
||||
endif()
|
||||
endif()
|
||||
|
||||
if(EIGEN_TEST_32BIT)
|
||||
if(CMAKE_COMPILER_IS_GNUCXX)
|
||||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -m32")
|
||||
message(STATUS "Forcing generation of 32-bit code in tests/examples")
|
||||
else()
|
||||
message(STATUS "EIGEN_TEST_32BIT ignored on your compiler")
|
||||
endif()
|
||||
endif()
|
||||
|
||||
if(EIGEN_TEST_NO_EXPLICIT_VECTORIZATION)
|
||||
add_definitions(-DEIGEN_DONT_VECTORIZE=1)
|
||||
message(STATUS "Disabling vectorization in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_NO_EXPLICIT_ALIGNMENT "Disable explicit alignment (hence vectorization) in tests/examples" OFF)
|
||||
if(EIGEN_TEST_NO_EXPLICIT_ALIGNMENT)
|
||||
add_definitions(-DEIGEN_DONT_ALIGN=1)
|
||||
message(STATUS "Disabling alignment in tests/examples")
|
||||
endif()
|
||||
|
||||
option(EIGEN_TEST_NO_EXCEPTIONS "Disables C++ exceptions" OFF)
|
||||
if(EIGEN_TEST_NO_EXCEPTIONS)
|
||||
ei_add_cxx_compiler_flag("-fno-exceptions")
|
||||
message(STATUS "Disabling exceptions in tests/examples")
|
||||
endif()
|
||||
|
||||
set(EIGEN_CUDA_COMPUTE_ARCH 30 CACHE STRING "The CUDA compute architecture level to target when compiling CUDA code")
|
||||
|
||||
include_directories(${CMAKE_CURRENT_SOURCE_DIR})
|
||||
|
||||
# Backward compatibility support for EIGEN_INCLUDE_INSTALL_DIR
|
||||
if(EIGEN_INCLUDE_INSTALL_DIR)
|
||||
message(WARNING "EIGEN_INCLUDE_INSTALL_DIR is deprecated. Use INCLUDE_INSTALL_DIR instead.")
|
||||
endif()
|
||||
|
||||
if(EIGEN_INCLUDE_INSTALL_DIR AND NOT INCLUDE_INSTALL_DIR)
|
||||
set(INCLUDE_INSTALL_DIR ${EIGEN_INCLUDE_INSTALL_DIR}
|
||||
CACHE PATH "The directory relative to CMAKE_INSTALL_PREFIX where Eigen header files are installed")
|
||||
else()
|
||||
set(INCLUDE_INSTALL_DIR
|
||||
"${CMAKE_INSTALL_INCLUDEDIR}/eigen3"
|
||||
CACHE PATH "The directory relative to CMAKE_INSTALL_PREFIX where Eigen header files are installed"
|
||||
)
|
||||
endif()
|
||||
set(CMAKEPACKAGE_INSTALL_DIR
|
||||
"${CMAKE_INSTALL_DATADIR}/eigen3/cmake"
|
||||
CACHE PATH "The directory relative to CMAKE_INSTALL_PREFIX where Eigen3Config.cmake is installed"
|
||||
)
|
||||
set(PKGCONFIG_INSTALL_DIR
|
||||
"${CMAKE_INSTALL_DATADIR}/pkgconfig"
|
||||
CACHE PATH "The directory relative to CMAKE_INSTALL_PREFIX where eigen3.pc is installed"
|
||||
)
|
||||
|
||||
foreach(var INCLUDE_INSTALL_DIR CMAKEPACKAGE_INSTALL_DIR PKGCONFIG_INSTALL_DIR)
|
||||
# If an absolute path is specified, make it relative to "{CMAKE_INSTALL_PREFIX}".
|
||||
if(IS_ABSOLUTE "${${var}}")
|
||||
file(RELATIVE_PATH "${var}" "${CMAKE_INSTALL_PREFIX}" "${${var}}")
|
||||
endif()
|
||||
endforeach()
|
||||
|
||||
# similar to set_target_properties but append the property instead of overwriting it
|
||||
macro(ei_add_target_property target prop value)
|
||||
|
||||
get_target_property(previous ${target} ${prop})
|
||||
# if the property wasn't previously set, ${previous} is now "previous-NOTFOUND" which cmake allows catching with plain if()
|
||||
if(NOT previous)
|
||||
set(previous "")
|
||||
endif()
|
||||
set_target_properties(${target} PROPERTIES ${prop} "${previous} ${value}")
|
||||
endmacro()
|
||||
|
||||
install(FILES
|
||||
signature_of_eigen3_matrix_library
|
||||
DESTINATION ${INCLUDE_INSTALL_DIR} COMPONENT Devel
|
||||
)
|
||||
|
||||
if(EIGEN_BUILD_PKGCONFIG)
|
||||
configure_file(eigen3.pc.in eigen3.pc @ONLY)
|
||||
install(FILES ${CMAKE_CURRENT_BINARY_DIR}/eigen3.pc
|
||||
DESTINATION ${PKGCONFIG_INSTALL_DIR}
|
||||
)
|
||||
endif()
|
||||
|
||||
install(DIRECTORY Eigen DESTINATION ${INCLUDE_INSTALL_DIR} COMPONENT Devel)
|
||||
|
||||
|
||||
option(EIGEN_BUILD_DOC "Enable creation of Eigen documentation" ON)
|
||||
if(EIGEN_BUILD_DOC)
|
||||
add_subdirectory(doc EXCLUDE_FROM_ALL)
|
||||
endif()
|
||||
|
||||
|
||||
option(BUILD_TESTING "Enable creation of Eigen tests." ON)
|
||||
if(BUILD_TESTING)
|
||||
include(EigenConfigureTesting)
|
||||
|
||||
if(EIGEN_LEAVE_TEST_IN_ALL_TARGET)
|
||||
add_subdirectory(test) # can't do EXCLUDE_FROM_ALL here, breaks CTest
|
||||
else()
|
||||
add_subdirectory(test EXCLUDE_FROM_ALL)
|
||||
endif()
|
||||
|
||||
add_subdirectory(failtest)
|
||||
endif()
|
||||
|
||||
if(EIGEN_LEAVE_TEST_IN_ALL_TARGET)
|
||||
add_subdirectory(blas)
|
||||
add_subdirectory(lapack)
|
||||
else()
|
||||
add_subdirectory(blas EXCLUDE_FROM_ALL)
|
||||
add_subdirectory(lapack EXCLUDE_FROM_ALL)
|
||||
endif()
|
||||
|
||||
# add SYCL
|
||||
option(EIGEN_TEST_SYCL "Add Sycl support." OFF)
|
||||
option(EIGEN_SYCL_TRISYCL "Use the triSYCL Sycl implementation (ComputeCPP by default)." OFF)
|
||||
if(EIGEN_TEST_SYCL)
|
||||
set (CMAKE_MODULE_PATH "${CMAKE_ROOT}/Modules" "cmake/Modules/" "${CMAKE_MODULE_PATH}")
|
||||
find_package(Threads REQUIRED)
|
||||
if(EIGEN_SYCL_TRISYCL)
|
||||
message(STATUS "Using triSYCL")
|
||||
include(FindTriSYCL)
|
||||
else()
|
||||
message(STATUS "Using ComputeCPP SYCL")
|
||||
include(FindComputeCpp)
|
||||
set(COMPUTECPP_DRIVER_DEFAULT_VALUE OFF)
|
||||
if (NOT MSVC)
|
||||
set(COMPUTECPP_DRIVER_DEFAULT_VALUE ON)
|
||||
endif()
|
||||
option(COMPUTECPP_USE_COMPILER_DRIVER
|
||||
"Use ComputeCpp driver instead of a 2 steps compilation"
|
||||
${COMPUTECPP_DRIVER_DEFAULT_VALUE}
|
||||
)
|
||||
endif(EIGEN_SYCL_TRISYCL)
|
||||
option(EIGEN_DONT_VECTORIZE_SYCL "Don't use vectorisation in the SYCL tests." OFF)
|
||||
if(EIGEN_DONT_VECTORIZE_SYCL)
|
||||
message(STATUS "Disabling SYCL vectorization in tests/examples")
|
||||
# When disabling SYCL vectorization, also disable Eigen default vectorization
|
||||
add_definitions(-DEIGEN_DONT_VECTORIZE=1)
|
||||
add_definitions(-DEIGEN_DONT_VECTORIZE_SYCL=1)
|
||||
endif()
|
||||
endif()
|
||||
|
||||
add_subdirectory(unsupported)
|
||||
|
||||
add_subdirectory(demos EXCLUDE_FROM_ALL)
|
||||
|
||||
# must be after test and unsupported, for configuring buildtests.in
|
||||
add_subdirectory(scripts EXCLUDE_FROM_ALL)
|
||||
|
||||
# TODO: consider also replacing EIGEN_BUILD_BTL by a custom target "make btl"?
|
||||
if(EIGEN_BUILD_BTL)
|
||||
add_subdirectory(bench/btl EXCLUDE_FROM_ALL)
|
||||
endif()
|
||||
|
||||
if(NOT WIN32)
|
||||
add_subdirectory(bench/spbench EXCLUDE_FROM_ALL)
|
||||
endif()
|
||||
|
||||
configure_file(scripts/cdashtesting.cmake.in cdashtesting.cmake @ONLY)
|
||||
|
||||
if(BUILD_TESTING)
|
||||
ei_testing_print_summary()
|
||||
endif()
|
||||
|
||||
message(STATUS "")
|
||||
message(STATUS "Configured Eigen ${EIGEN_VERSION_NUMBER}")
|
||||
message(STATUS "")
|
||||
|
||||
string(TOLOWER "${CMAKE_GENERATOR}" cmake_generator_tolower)
|
||||
if(cmake_generator_tolower MATCHES "makefile")
|
||||
message(STATUS "Available targets (use: make TARGET):")
|
||||
else()
|
||||
message(STATUS "Available targets (use: cmake --build . --target TARGET):")
|
||||
endif()
|
||||
message(STATUS "---------+--------------------------------------------------------------")
|
||||
message(STATUS "Target | Description")
|
||||
message(STATUS "---------+--------------------------------------------------------------")
|
||||
message(STATUS "install | Install Eigen. Headers will be installed to:")
|
||||
message(STATUS " | <CMAKE_INSTALL_PREFIX>/<INCLUDE_INSTALL_DIR>")
|
||||
message(STATUS " | Using the following values:")
|
||||
message(STATUS " | CMAKE_INSTALL_PREFIX: ${CMAKE_INSTALL_PREFIX}")
|
||||
message(STATUS " | INCLUDE_INSTALL_DIR: ${INCLUDE_INSTALL_DIR}")
|
||||
message(STATUS " | Change the install location of Eigen headers using:")
|
||||
message(STATUS " | cmake . -DCMAKE_INSTALL_PREFIX=yourprefix")
|
||||
message(STATUS " | Or:")
|
||||
message(STATUS " | cmake . -DINCLUDE_INSTALL_DIR=yourdir")
|
||||
message(STATUS "doc | Generate the API documentation, requires Doxygen & LaTeX")
|
||||
if(BUILD_TESTING)
|
||||
message(STATUS "check | Build and run the unit-tests. Read this page:")
|
||||
message(STATUS " | http://eigen.tuxfamily.org/index.php?title=Tests")
|
||||
endif()
|
||||
message(STATUS "blas | Build BLAS library (not the same thing as Eigen)")
|
||||
message(STATUS "uninstall| Remove files installed by the install target")
|
||||
message(STATUS "---------+--------------------------------------------------------------")
|
||||
message(STATUS "")
|
||||
|
||||
|
||||
set ( EIGEN_VERSION_STRING ${EIGEN_VERSION_NUMBER} )
|
||||
set ( EIGEN_VERSION_MAJOR ${EIGEN_WORLD_VERSION} )
|
||||
set ( EIGEN_VERSION_MINOR ${EIGEN_MAJOR_VERSION} )
|
||||
set ( EIGEN_VERSION_PATCH ${EIGEN_MINOR_VERSION} )
|
||||
set ( EIGEN_DEFINITIONS "")
|
||||
set ( EIGEN_INCLUDE_DIR "${CMAKE_INSTALL_PREFIX}/${INCLUDE_INSTALL_DIR}" )
|
||||
set ( EIGEN_ROOT_DIR ${CMAKE_INSTALL_PREFIX} )
|
||||
|
||||
include (CMakePackageConfigHelpers)
|
||||
|
||||
# Imported target support
|
||||
add_library (eigen INTERFACE)
|
||||
add_library (Eigen3::Eigen ALIAS eigen)
|
||||
target_compile_definitions (eigen INTERFACE ${EIGEN_DEFINITIONS})
|
||||
target_include_directories (eigen INTERFACE
|
||||
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
|
||||
$<INSTALL_INTERFACE:${INCLUDE_INSTALL_DIR}>
|
||||
)
|
||||
|
||||
# Export as title case Eigen
|
||||
set_target_properties (eigen PROPERTIES EXPORT_NAME Eigen)
|
||||
|
||||
install (TARGETS eigen EXPORT Eigen3Targets)
|
||||
|
||||
configure_package_config_file (
|
||||
${CMAKE_CURRENT_SOURCE_DIR}/cmake/Eigen3Config.cmake.in
|
||||
${CMAKE_CURRENT_BINARY_DIR}/Eigen3Config.cmake
|
||||
PATH_VARS EIGEN_INCLUDE_DIR EIGEN_ROOT_DIR
|
||||
INSTALL_DESTINATION ${CMAKEPACKAGE_INSTALL_DIR}
|
||||
NO_CHECK_REQUIRED_COMPONENTS_MACRO # Eigen does not provide components
|
||||
)
|
||||
# Remove CMAKE_SIZEOF_VOID_P from Eigen3ConfigVersion.cmake since Eigen does
|
||||
# not depend on architecture specific settings or libraries. More
|
||||
# specifically, an Eigen3Config.cmake generated from a 64 bit target can be
|
||||
# used for 32 bit targets as well (and vice versa).
|
||||
set (_Eigen3_CMAKE_SIZEOF_VOID_P ${CMAKE_SIZEOF_VOID_P})
|
||||
unset (CMAKE_SIZEOF_VOID_P)
|
||||
write_basic_package_version_file (Eigen3ConfigVersion.cmake
|
||||
VERSION ${EIGEN_VERSION_NUMBER}
|
||||
COMPATIBILITY SameMajorVersion)
|
||||
set (CMAKE_SIZEOF_VOID_P ${_Eigen3_CMAKE_SIZEOF_VOID_P})
|
||||
|
||||
# The Eigen target will be located in the Eigen3 namespace. Other CMake
|
||||
# targets can refer to it using Eigen3::Eigen.
|
||||
export (TARGETS eigen NAMESPACE Eigen3:: FILE Eigen3Targets.cmake)
|
||||
# Export Eigen3 package to CMake registry such that it can be easily found by
|
||||
# CMake even if it has not been installed to a standard directory.
|
||||
export (PACKAGE Eigen3)
|
||||
|
||||
install (EXPORT Eigen3Targets NAMESPACE Eigen3:: DESTINATION ${CMAKEPACKAGE_INSTALL_DIR})
|
||||
|
||||
install ( FILES ${CMAKE_CURRENT_SOURCE_DIR}/cmake/UseEigen3.cmake
|
||||
${CMAKE_CURRENT_BINARY_DIR}/Eigen3Config.cmake
|
||||
${CMAKE_CURRENT_BINARY_DIR}/Eigen3ConfigVersion.cmake
|
||||
DESTINATION ${CMAKEPACKAGE_INSTALL_DIR} )
|
||||
|
||||
# Add uninstall target
|
||||
add_custom_target ( uninstall
|
||||
COMMAND ${CMAKE_COMMAND} -P ${CMAKE_CURRENT_SOURCE_DIR}/cmake/EigenUninstall.cmake)
|
||||
|
||||
if (EIGEN_SPLIT_TESTSUITE)
|
||||
ei_split_testsuite("${EIGEN_SPLIT_TESTSUITE}")
|
||||
endif()
|
||||
|
|
@ -0,0 +1,203 @@
|
|||
/*
|
||||
Apache License
|
||||
Version 2.0, January 2004
|
||||
http://www.apache.org/licenses/
|
||||
|
||||
TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
|
||||
|
||||
1. Definitions.
|
||||
|
||||
"License" shall mean the terms and conditions for use, reproduction,
|
||||
and distribution as defined by Sections 1 through 9 of this document.
|
||||
|
||||
"Licensor" shall mean the copyright owner or entity authorized by
|
||||
the copyright owner that is granting the License.
|
||||
|
||||
"Legal Entity" shall mean the union of the acting entity and all
|
||||
other entities that control, are controlled by, or are under common
|
||||
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|
||||
"control" means (i) the power, direct or indirect, to cause the
|
||||
direction or management of such entity, whether by contract or
|
||||
otherwise, or (ii) ownership of fifty percent (50%) or more of the
|
||||
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|
||||
|
||||
"You" (or "Your") shall mean an individual or Legal Entity
|
||||
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|
||||
|
||||
"Source" form shall mean the preferred form for making modifications,
|
||||
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|
||||
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|
||||
|
||||
"Object" form shall mean any form resulting from mechanical
|
||||
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|
||||
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|
||||
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|
||||
|
||||
"Work" shall mean the work of authorship, whether in Source or
|
||||
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|
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|
||||
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|
||||
|
||||
"Derivative Works" shall mean any work, whether in Source or Object
|
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|
||||
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|
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|
||||
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|
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|
||||
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|
||||
|
||||
"Contribution" shall mean any work of authorship, including
|
||||
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|
||||
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|
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|
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|
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|
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|
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|
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|
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|
||||
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|
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|
||||
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|
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|
||||
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|
||||
|
||||
2. Grant of Copyright License. Subject to the terms and conditions of
|
||||
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|
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|
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|
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|
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|
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|
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||||
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|
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|
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|
||||
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|
||||
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||||
|
||||
(c) You must retain, in the Source form of any Derivative Works
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|
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|
||||
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||||
|
||||
(d) If the Work includes a "NOTICE" text file as part of its
|
||||
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|
||||
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|
||||
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|
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|
||||
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|
||||
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|
||||
do not modify the License. You may add Your own attribution
|
||||
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|
||||
or as an addendum to the NOTICE text from the Work, provided
|
||||
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|
||||
as modifying the License.
|
||||
|
||||
You may add Your own copyright statement to Your modifications and
|
||||
may provide additional or different license terms and conditions
|
||||
for use, reproduction, or distribution of Your modifications, or
|
||||
for any such Derivative Works as a whole, provided Your use,
|
||||
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|
||||
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|
||||
|
||||
5. Submission of Contributions. Unless You explicitly state otherwise,
|
||||
any Contribution intentionally submitted for inclusion in the Work
|
||||
by You to the Licensor shall be under the terms and conditions of
|
||||
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||||
Notwithstanding the above, nothing herein shall supersede or modify
|
||||
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|
||||
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|
||||
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
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|
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|
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|
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defend, and hold each Contributor harmless for any liability
|
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incurred by, or claims asserted against, such Contributor by reason
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||||
|
||||
END OF TERMS AND CONDITIONS
|
||||
|
||||
APPENDIX: How to apply the Apache License to your work.
|
||||
|
||||
To apply the Apache License to your work, attach the following
|
||||
boilerplate notice, with the fields enclosed by brackets "[]"
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same "printed page" as the copyright notice for easier
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||||
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||||
|
||||
Copyright [yyyy] [name of copyright owner]
|
||||
|
||||
Licensed under the Apache License, Version 2.0 (the "License");
|
||||
you may not use this file except in compliance with the License.
|
||||
You may obtain a copy of the License at
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||||
|
||||
http://www.apache.org/licenses/LICENSE-2.0
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||||
|
||||
Unless required by applicable law or agreed to in writing, software
|
||||
distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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||||
See the License for the specific language governing permissions and
|
||||
limitations under the License.
|
||||
*/
|
||||
|
|
@ -0,0 +1,26 @@
|
|||
/*
|
||||
Copyright (c) 2011, Intel Corporation. All rights reserved.
|
||||
|
||||
Redistribution and use in source and binary forms, with or without modification,
|
||||
are permitted provided that the following conditions are met:
|
||||
|
||||
* Redistributions of source code must retain the above copyright notice, this
|
||||
list of conditions and the following disclaimer.
|
||||
* Redistributions in binary form must reproduce the above copyright notice,
|
||||
this list of conditions and the following disclaimer in the documentation
|
||||
and/or other materials provided with the distribution.
|
||||
* Neither the name of Intel Corporation nor the names of its contributors may
|
||||
be used to endorse or promote products derived from this software without
|
||||
specific prior written permission.
|
||||
|
||||
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
|
||||
ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
|
||||
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
|
||||
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
|
||||
ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
|
||||
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
||||
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
|
||||
ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
|
||||
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
|
||||
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
*/
|
||||
|
|
@ -0,0 +1,674 @@
|
|||
GNU GENERAL PUBLIC LICENSE
|
||||
Version 3, 29 June 2007
|
||||
|
||||
Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
|
||||
Everyone is permitted to copy and distribute verbatim copies
|
||||
of this license document, but changing it is not allowed.
|
||||
|
||||
Preamble
|
||||
|
||||
The GNU General Public License is a free, copyleft license for
|
||||
software and other kinds of works.
|
||||
|
||||
The licenses for most software and other practical works are designed
|
||||
to take away your freedom to share and change the works. By contrast,
|
||||
the GNU General Public License is intended to guarantee your freedom to
|
||||
share and change all versions of a program--to make sure it remains free
|
||||
software for all its users. We, the Free Software Foundation, use the
|
||||
GNU General Public License for most of our software; it applies also to
|
||||
any other work released this way by its authors. You can apply it to
|
||||
your programs, too.
|
||||
|
||||
When we speak of free software, we are referring to freedom, not
|
||||
price. Our General Public Licenses are designed to make sure that you
|
||||
have the freedom to distribute copies of free software (and charge for
|
||||
them if you wish), that you receive source code or can get it if you
|
||||
want it, that you can change the software or use pieces of it in new
|
||||
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|
||||
|
||||
To protect your rights, we need to prevent others from denying you
|
||||
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|
||||
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|
||||
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|
||||
|
||||
For example, if you distribute copies of such a program, whether
|
||||
gratis or for a fee, you must pass on to the recipients the same
|
||||
freedoms that you received. You must make sure that they, too, receive
|
||||
or can get the source code. And you must show them these terms so they
|
||||
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|
||||
|
||||
Developers that use the GNU GPL protect your rights with two steps:
|
||||
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|
||||
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|
||||
|
||||
For the developers' and authors' protection, the GPL clearly explains
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
Some devices are designed to deny users access to install or run
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
Finally, every program is threatened constantly by software patents.
|
||||
States should not allow patents to restrict development and use of
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
The precise terms and conditions for copying, distribution and
|
||||
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|
||||
|
||||
TERMS AND CONDITIONS
|
||||
|
||||
0. Definitions.
|
||||
|
||||
"This License" refers to version 3 of the GNU General Public License.
|
||||
|
||||
"Copyright" also means copyright-like laws that apply to other kinds of
|
||||
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|
||||
|
||||
"The Program" refers to any copyrightable work licensed under this
|
||||
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|
||||
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|
||||
|
||||
To "modify" a work means to copy from or adapt all or part of the work
|
||||
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|
||||
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|
||||
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||||
|
||||
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|
||||
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||||
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||||
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|
||||
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||||
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|
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|
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|
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||||
To "convey" a work means any kind of propagation that enables other
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||||
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||||
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||||
An interactive user interface displays "Appropriate Legal Notices"
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||||
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||||
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||||
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The Corresponding Source need not include anything that users
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||||
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||||
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||||
The Corresponding Source for a work in source code form is that
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||||
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||||
|
||||
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||||
|
||||
All rights granted under this License are granted for the term of
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||||
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|
||||
conditions are met. This License explicitly affirms your unlimited
|
||||
permission to run the unmodified Program. The output from running a
|
||||
covered work is covered by this License only if the output, given its
|
||||
content, constitutes a covered work. This License acknowledges your
|
||||
rights of fair use or other equivalent, as provided by copyright law.
|
||||
|
||||
You may make, run and propagate covered works that you do not
|
||||
convey, without conditions so long as your license otherwise remains
|
||||
in force. You may convey covered works to others for the sole purpose
|
||||
of having them make modifications exclusively for you, or provide you
|
||||
with facilities for running those works, provided that you comply with
|
||||
the terms of this License in conveying all material for which you do
|
||||
not control copyright. Those thus making or running the covered works
|
||||
for you must do so exclusively on your behalf, under your direction
|
||||
and control, on terms that prohibit them from making any copies of
|
||||
your copyrighted material outside their relationship with you.
|
||||
|
||||
Conveying under any other circumstances is permitted solely under
|
||||
the conditions stated below. Sublicensing is not allowed; section 10
|
||||
makes it unnecessary.
|
||||
|
||||
3. Protecting Users' Legal Rights From Anti-Circumvention Law.
|
||||
|
||||
No covered work shall be deemed part of an effective technological
|
||||
measure under any applicable law fulfilling obligations under article
|
||||
11 of the WIPO copyright treaty adopted on 20 December 1996, or
|
||||
similar laws prohibiting or restricting circumvention of such
|
||||
measures.
|
||||
|
||||
When you convey a covered work, you waive any legal power to forbid
|
||||
circumvention of technological measures to the extent such circumvention
|
||||
is effected by exercising rights under this License with respect to
|
||||
the covered work, and you disclaim any intention to limit operation or
|
||||
modification of the work as a means of enforcing, against the work's
|
||||
users, your or third parties' legal rights to forbid circumvention of
|
||||
technological measures.
|
||||
|
||||
4. Conveying Verbatim Copies.
|
||||
|
||||
You may convey verbatim copies of the Program's source code as you
|
||||
receive it, in any medium, provided that you conspicuously and
|
||||
appropriately publish on each copy an appropriate copyright notice;
|
||||
keep intact all notices stating that this License and any
|
||||
non-permissive terms added in accord with section 7 apply to the code;
|
||||
keep intact all notices of the absence of any warranty; and give all
|
||||
recipients a copy of this License along with the Program.
|
||||
|
||||
You may charge any price or no price for each copy that you convey,
|
||||
and you may offer support or warranty protection for a fee.
|
||||
|
||||
5. Conveying Modified Source Versions.
|
||||
|
||||
You may convey a work based on the Program, or the modifications to
|
||||
produce it from the Program, in the form of source code under the
|
||||
terms of section 4, provided that you also meet all of these conditions:
|
||||
|
||||
a) The work must carry prominent notices stating that you modified
|
||||
it, and giving a relevant date.
|
||||
|
||||
b) The work must carry prominent notices stating that it is
|
||||
released under this License and any conditions added under section
|
||||
7. This requirement modifies the requirement in section 4 to
|
||||
"keep intact all notices".
|
||||
|
||||
c) You must license the entire work, as a whole, under this
|
||||
License to anyone who comes into possession of a copy. This
|
||||
License will therefore apply, along with any applicable section 7
|
||||
additional terms, to the whole of the work, and all its parts,
|
||||
regardless of how they are packaged. This License gives no
|
||||
permission to license the work in any other way, but it does not
|
||||
invalidate such permission if you have separately received it.
|
||||
|
||||
d) If the work has interactive user interfaces, each must display
|
||||
Appropriate Legal Notices; however, if the Program has interactive
|
||||
interfaces that do not display Appropriate Legal Notices, your
|
||||
work need not make them do so.
|
||||
|
||||
A compilation of a covered work with other separate and independent
|
||||
works, which are not by their nature extensions of the covered work,
|
||||
and which are not combined with it such as to form a larger program,
|
||||
in or on a volume of a storage or distribution medium, is called an
|
||||
"aggregate" if the compilation and its resulting copyright are not
|
||||
used to limit the access or legal rights of the compilation's users
|
||||
beyond what the individual works permit. Inclusion of a covered work
|
||||
in an aggregate does not cause this License to apply to the other
|
||||
parts of the aggregate.
|
||||
|
||||
6. Conveying Non-Source Forms.
|
||||
|
||||
You may convey a covered work in object code form under the terms
|
||||
of sections 4 and 5, provided that you also convey the
|
||||
machine-readable Corresponding Source under the terms of this License,
|
||||
in one of these ways:
|
||||
|
||||
a) Convey the object code in, or embodied in, a physical product
|
||||
(including a physical distribution medium), accompanied by the
|
||||
Corresponding Source fixed on a durable physical medium
|
||||
customarily used for software interchange.
|
||||
|
||||
b) Convey the object code in, or embodied in, a physical product
|
||||
(including a physical distribution medium), accompanied by a
|
||||
written offer, valid for at least three years and valid for as
|
||||
long as you offer spare parts or customer support for that product
|
||||
model, to give anyone who possesses the object code either (1) a
|
||||
copy of the Corresponding Source for all the software in the
|
||||
product that is covered by this License, on a durable physical
|
||||
medium customarily used for software interchange, for a price no
|
||||
more than your reasonable cost of physically performing this
|
||||
conveying of source, or (2) access to copy the
|
||||
Corresponding Source from a network server at no charge.
|
||||
|
||||
c) Convey individual copies of the object code with a copy of the
|
||||
written offer to provide the Corresponding Source. This
|
||||
alternative is allowed only occasionally and noncommercially, and
|
||||
only if you received the object code with such an offer, in accord
|
||||
with subsection 6b.
|
||||
|
||||
d) Convey the object code by offering access from a designated
|
||||
place (gratis or for a charge), and offer equivalent access to the
|
||||
Corresponding Source in the same way through the same place at no
|
||||
further charge. You need not require recipients to copy the
|
||||
Corresponding Source along with the object code. If the place to
|
||||
copy the object code is a network server, the Corresponding Source
|
||||
may be on a different server (operated by you or a third party)
|
||||
that supports equivalent copying facilities, provided you maintain
|
||||
clear directions next to the object code saying where to find the
|
||||
Corresponding Source. Regardless of what server hosts the
|
||||
Corresponding Source, you remain obligated to ensure that it is
|
||||
available for as long as needed to satisfy these requirements.
|
||||
|
||||
e) Convey the object code using peer-to-peer transmission, provided
|
||||
you inform other peers where the object code and Corresponding
|
||||
Source of the work are being offered to the general public at no
|
||||
charge under subsection 6d.
|
||||
|
||||
A separable portion of the object code, whose source code is excluded
|
||||
from the Corresponding Source as a System Library, need not be
|
||||
included in conveying the object code work.
|
||||
|
||||
A "User Product" is either (1) a "consumer product", which means any
|
||||
tangible personal property which is normally used for personal, family,
|
||||
or household purposes, or (2) anything designed or sold for incorporation
|
||||
into a dwelling. In determining whether a product is a consumer product,
|
||||
doubtful cases shall be resolved in favor of coverage. For a particular
|
||||
product received by a particular user, "normally used" refers to a
|
||||
typical or common use of that class of product, regardless of the status
|
||||
of the particular user or of the way in which the particular user
|
||||
actually uses, or expects or is expected to use, the product. A product
|
||||
is a consumer product regardless of whether the product has substantial
|
||||
commercial, industrial or non-consumer uses, unless such uses represent
|
||||
the only significant mode of use of the product.
|
||||
|
||||
"Installation Information" for a User Product means any methods,
|
||||
procedures, authorization keys, or other information required to install
|
||||
and execute modified versions of a covered work in that User Product from
|
||||
a modified version of its Corresponding Source. The information must
|
||||
suffice to ensure that the continued functioning of the modified object
|
||||
code is in no case prevented or interfered with solely because
|
||||
modification has been made.
|
||||
|
||||
If you convey an object code work under this section in, or with, or
|
||||
specifically for use in, a User Product, and the conveying occurs as
|
||||
part of a transaction in which the right of possession and use of the
|
||||
User Product is transferred to the recipient in perpetuity or for a
|
||||
fixed term (regardless of how the transaction is characterized), the
|
||||
Corresponding Source conveyed under this section must be accompanied
|
||||
by the Installation Information. But this requirement does not apply
|
||||
if neither you nor any third party retains the ability to install
|
||||
modified object code on the User Product (for example, the work has
|
||||
been installed in ROM).
|
||||
|
||||
The requirement to provide Installation Information does not include a
|
||||
requirement to continue to provide support service, warranty, or updates
|
||||
for a work that has been modified or installed by the recipient, or for
|
||||
the User Product in which it has been modified or installed. Access to a
|
||||
network may be denied when the modification itself materially and
|
||||
adversely affects the operation of the network or violates the rules and
|
||||
protocols for communication across the network.
|
||||
|
||||
Corresponding Source conveyed, and Installation Information provided,
|
||||
in accord with this section must be in a format that is publicly
|
||||
documented (and with an implementation available to the public in
|
||||
source code form), and must require no special password or key for
|
||||
unpacking, reading or copying.
|
||||
|
||||
7. Additional Terms.
|
||||
|
||||
"Additional permissions" are terms that supplement the terms of this
|
||||
License by making exceptions from one or more of its conditions.
|
||||
Additional permissions that are applicable to the entire Program shall
|
||||
be treated as though they were included in this License, to the extent
|
||||
that they are valid under applicable law. If additional permissions
|
||||
apply only to part of the Program, that part may be used separately
|
||||
under those permissions, but the entire Program remains governed by
|
||||
this License without regard to the additional permissions.
|
||||
|
||||
When you convey a copy of a covered work, you may at your option
|
||||
remove any additional permissions from that copy, or from any part of
|
||||
it. (Additional permissions may be written to require their own
|
||||
removal in certain cases when you modify the work.) You may place
|
||||
additional permissions on material, added by you to a covered work,
|
||||
for which you have or can give appropriate copyright permission.
|
||||
|
||||
Notwithstanding any other provision of this License, for material you
|
||||
add to a covered work, you may (if authorized by the copyright holders of
|
||||
that material) supplement the terms of this License with terms:
|
||||
|
||||
a) Disclaiming warranty or limiting liability differently from the
|
||||
terms of sections 15 and 16 of this License; or
|
||||
|
||||
b) Requiring preservation of specified reasonable legal notices or
|
||||
author attributions in that material or in the Appropriate Legal
|
||||
Notices displayed by works containing it; or
|
||||
|
||||
c) Prohibiting misrepresentation of the origin of that material, or
|
||||
requiring that modified versions of such material be marked in
|
||||
reasonable ways as different from the original version; or
|
||||
|
||||
d) Limiting the use for publicity purposes of names of licensors or
|
||||
authors of the material; or
|
||||
|
||||
e) Declining to grant rights under trademark law for use of some
|
||||
trade names, trademarks, or service marks; or
|
||||
|
||||
f) Requiring indemnification of licensors and authors of that
|
||||
material by anyone who conveys the material (or modified versions of
|
||||
it) with contractual assumptions of liability to the recipient, for
|
||||
any liability that these contractual assumptions directly impose on
|
||||
those licensors and authors.
|
||||
|
||||
All other non-permissive additional terms are considered "further
|
||||
restrictions" within the meaning of section 10. If the Program as you
|
||||
received it, or any part of it, contains a notice stating that it is
|
||||
governed by this License along with a term that is a further
|
||||
restriction, you may remove that term. If a license document contains
|
||||
a further restriction but permits relicensing or conveying under this
|
||||
License, you may add to a covered work material governed by the terms
|
||||
of that license document, provided that the further restriction does
|
||||
not survive such relicensing or conveying.
|
||||
|
||||
If you add terms to a covered work in accord with this section, you
|
||||
must place, in the relevant source files, a statement of the
|
||||
additional terms that apply to those files, or a notice indicating
|
||||
where to find the applicable terms.
|
||||
|
||||
Additional terms, permissive or non-permissive, may be stated in the
|
||||
form of a separately written license, or stated as exceptions;
|
||||
the above requirements apply either way.
|
||||
|
||||
8. Termination.
|
||||
|
||||
You may not propagate or modify a covered work except as expressly
|
||||
provided under this License. Any attempt otherwise to propagate or
|
||||
modify it is void, and will automatically terminate your rights under
|
||||
this License (including any patent licenses granted under the third
|
||||
paragraph of section 11).
|
||||
|
||||
However, if you cease all violation of this License, then your
|
||||
license from a particular copyright holder is reinstated (a)
|
||||
provisionally, unless and until the copyright holder explicitly and
|
||||
finally terminates your license, and (b) permanently, if the copyright
|
||||
holder fails to notify you of the violation by some reasonable means
|
||||
prior to 60 days after the cessation.
|
||||
|
||||
Moreover, your license from a particular copyright holder is
|
||||
reinstated permanently if the copyright holder notifies you of the
|
||||
violation by some reasonable means, this is the first time you have
|
||||
received notice of violation of this License (for any work) from that
|
||||
copyright holder, and you cure the violation prior to 30 days after
|
||||
your receipt of the notice.
|
||||
|
||||
Termination of your rights under this section does not terminate the
|
||||
licenses of parties who have received copies or rights from you under
|
||||
this License. If your rights have been terminated and not permanently
|
||||
reinstated, you do not qualify to receive new licenses for the same
|
||||
material under section 10.
|
||||
|
||||
9. Acceptance Not Required for Having Copies.
|
||||
|
||||
You are not required to accept this License in order to receive or
|
||||
run a copy of the Program. Ancillary propagation of a covered work
|
||||
occurring solely as a consequence of using peer-to-peer transmission
|
||||
to receive a copy likewise does not require acceptance. However,
|
||||
nothing other than this License grants you permission to propagate or
|
||||
modify any covered work. These actions infringe copyright if you do
|
||||
not accept this License. Therefore, by modifying or propagating a
|
||||
covered work, you indicate your acceptance of this License to do so.
|
||||
|
||||
10. Automatic Licensing of Downstream Recipients.
|
||||
|
||||
Each time you convey a covered work, the recipient automatically
|
||||
receives a license from the original licensors, to run, modify and
|
||||
propagate that work, subject to this License. You are not responsible
|
||||
for enforcing compliance by third parties with this License.
|
||||
|
||||
An "entity transaction" is a transaction transferring control of an
|
||||
organization, or substantially all assets of one, or subdividing an
|
||||
organization, or merging organizations. If propagation of a covered
|
||||
work results from an entity transaction, each party to that
|
||||
transaction who receives a copy of the work also receives whatever
|
||||
licenses to the work the party's predecessor in interest had or could
|
||||
give under the previous paragraph, plus a right to possession of the
|
||||
Corresponding Source of the work from the predecessor in interest, if
|
||||
the predecessor has it or can get it with reasonable efforts.
|
||||
|
||||
You may not impose any further restrictions on the exercise of the
|
||||
rights granted or affirmed under this License. For example, you may
|
||||
not impose a license fee, royalty, or other charge for exercise of
|
||||
rights granted under this License, and you may not initiate litigation
|
||||
(including a cross-claim or counterclaim in a lawsuit) alleging that
|
||||
any patent claim is infringed by making, using, selling, offering for
|
||||
sale, or importing the Program or any portion of it.
|
||||
|
||||
11. Patents.
|
||||
|
||||
A "contributor" is a copyright holder who authorizes use under this
|
||||
License of the Program or a work on which the Program is based. The
|
||||
work thus licensed is called the contributor's "contributor version".
|
||||
|
||||
A contributor's "essential patent claims" are all patent claims
|
||||
owned or controlled by the contributor, whether already acquired or
|
||||
hereafter acquired, that would be infringed by some manner, permitted
|
||||
by this License, of making, using, or selling its contributor version,
|
||||
but do not include claims that would be infringed only as a
|
||||
consequence of further modification of the contributor version. For
|
||||
purposes of this definition, "control" includes the right to grant
|
||||
patent sublicenses in a manner consistent with the requirements of
|
||||
this License.
|
||||
|
||||
Each contributor grants you a non-exclusive, worldwide, royalty-free
|
||||
patent license under the contributor's essential patent claims, to
|
||||
make, use, sell, offer for sale, import and otherwise run, modify and
|
||||
propagate the contents of its contributor version.
|
||||
|
||||
In the following three paragraphs, a "patent license" is any express
|
||||
agreement or commitment, however denominated, not to enforce a patent
|
||||
(such as an express permission to practice a patent or covenant not to
|
||||
sue for patent infringement). To "grant" such a patent license to a
|
||||
party means to make such an agreement or commitment not to enforce a
|
||||
patent against the party.
|
||||
|
||||
If you convey a covered work, knowingly relying on a patent license,
|
||||
and the Corresponding Source of the work is not available for anyone
|
||||
to copy, free of charge and under the terms of this License, through a
|
||||
publicly available network server or other readily accessible means,
|
||||
then you must either (1) cause the Corresponding Source to be so
|
||||
available, or (2) arrange to deprive yourself of the benefit of the
|
||||
patent license for this particular work, or (3) arrange, in a manner
|
||||
consistent with the requirements of this License, to extend the patent
|
||||
license to downstream recipients. "Knowingly relying" means you have
|
||||
actual knowledge that, but for the patent license, your conveying the
|
||||
covered work in a country, or your recipient's use of the covered work
|
||||
in a country, would infringe one or more identifiable patents in that
|
||||
country that you have reason to believe are valid.
|
||||
|
||||
If, pursuant to or in connection with a single transaction or
|
||||
arrangement, you convey, or propagate by procuring conveyance of, a
|
||||
covered work, and grant a patent license to some of the parties
|
||||
receiving the covered work authorizing them to use, propagate, modify
|
||||
or convey a specific copy of the covered work, then the patent license
|
||||
you grant is automatically extended to all recipients of the covered
|
||||
work and works based on it.
|
||||
|
||||
A patent license is "discriminatory" if it does not include within
|
||||
the scope of its coverage, prohibits the exercise of, or is
|
||||
conditioned on the non-exercise of one or more of the rights that are
|
||||
specifically granted under this License. You may not convey a covered
|
||||
work if you are a party to an arrangement with a third party that is
|
||||
in the business of distributing software, under which you make payment
|
||||
to the third party based on the extent of your activity of conveying
|
||||
the work, and under which the third party grants, to any of the
|
||||
parties who would receive the covered work from you, a discriminatory
|
||||
patent license (a) in connection with copies of the covered work
|
||||
conveyed by you (or copies made from those copies), or (b) primarily
|
||||
for and in connection with specific products or compilations that
|
||||
contain the covered work, unless you entered into that arrangement,
|
||||
or that patent license was granted, prior to 28 March 2007.
|
||||
|
||||
Nothing in this License shall be construed as excluding or limiting
|
||||
any implied license or other defenses to infringement that may
|
||||
otherwise be available to you under applicable patent law.
|
||||
|
||||
12. No Surrender of Others' Freedom.
|
||||
|
||||
If conditions are imposed on you (whether by court order, agreement or
|
||||
otherwise) that contradict the conditions of this License, they do not
|
||||
excuse you from the conditions of this License. If you cannot convey a
|
||||
covered work so as to satisfy simultaneously your obligations under this
|
||||
License and any other pertinent obligations, then as a consequence you may
|
||||
not convey it at all. For example, if you agree to terms that obligate you
|
||||
to collect a royalty for further conveying from those to whom you convey
|
||||
the Program, the only way you could satisfy both those terms and this
|
||||
License would be to refrain entirely from conveying the Program.
|
||||
|
||||
13. Use with the GNU Affero General Public License.
|
||||
|
||||
Notwithstanding any other provision of this License, you have
|
||||
permission to link or combine any covered work with a work licensed
|
||||
under version 3 of the GNU Affero General Public License into a single
|
||||
combined work, and to convey the resulting work. The terms of this
|
||||
License will continue to apply to the part which is the covered work,
|
||||
but the special requirements of the GNU Affero General Public License,
|
||||
section 13, concerning interaction through a network will apply to the
|
||||
combination as such.
|
||||
|
||||
14. Revised Versions of this License.
|
||||
|
||||
The Free Software Foundation may publish revised and/or new versions of
|
||||
the GNU General Public License from time to time. Such new versions will
|
||||
be similar in spirit to the present version, but may differ in detail to
|
||||
address new problems or concerns.
|
||||
|
||||
Each version is given a distinguishing version number. If the
|
||||
Program specifies that a certain numbered version of the GNU General
|
||||
Public License "or any later version" applies to it, you have the
|
||||
option of following the terms and conditions either of that numbered
|
||||
version or of any later version published by the Free Software
|
||||
Foundation. If the Program does not specify a version number of the
|
||||
GNU General Public License, you may choose any version ever published
|
||||
by the Free Software Foundation.
|
||||
|
||||
If the Program specifies that a proxy can decide which future
|
||||
versions of the GNU General Public License can be used, that proxy's
|
||||
public statement of acceptance of a version permanently authorizes you
|
||||
to choose that version for the Program.
|
||||
|
||||
Later license versions may give you additional or different
|
||||
permissions. However, no additional obligations are imposed on any
|
||||
author or copyright holder as a result of your choosing to follow a
|
||||
later version.
|
||||
|
||||
15. Disclaimer of Warranty.
|
||||
|
||||
THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
|
||||
APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
|
||||
HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
|
||||
OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
|
||||
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|
||||
PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
|
||||
IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
|
||||
ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
|
||||
|
||||
16. Limitation of Liability.
|
||||
|
||||
IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
|
||||
THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
|
||||
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|
||||
USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
|
||||
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|
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PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
|
||||
EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
|
||||
SUCH DAMAGES.
|
||||
|
||||
17. Interpretation of Sections 15 and 16.
|
||||
|
||||
If the disclaimer of warranty and limitation of liability provided
|
||||
above cannot be given local legal effect according to their terms,
|
||||
reviewing courts shall apply local law that most closely approximates
|
||||
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|
||||
Program, unless a warranty or assumption of liability accompanies a
|
||||
copy of the Program in return for a fee.
|
||||
|
||||
END OF TERMS AND CONDITIONS
|
||||
|
||||
How to Apply These Terms to Your New Programs
|
||||
|
||||
If you develop a new program, and you want it to be of the greatest
|
||||
possible use to the public, the best way to achieve this is to make it
|
||||
free software which everyone can redistribute and change under these terms.
|
||||
|
||||
To do so, attach the following notices to the program. It is safest
|
||||
to attach them to the start of each source file to most effectively
|
||||
state the exclusion of warranty; and each file should have at least
|
||||
the "copyright" line and a pointer to where the full notice is found.
|
||||
|
||||
<one line to give the program's name and a brief idea of what it does.>
|
||||
Copyright (C) <year> <name of author>
|
||||
|
||||
This program is free software: you can redistribute it and/or modify
|
||||
it under the terms of the GNU General Public License as published by
|
||||
the Free Software Foundation, either version 3 of the License, or
|
||||
(at your option) any later version.
|
||||
|
||||
This program is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
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|
||||
GNU General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU General Public License
|
||||
along with this program. If not, see <http://www.gnu.org/licenses/>.
|
||||
|
||||
Also add information on how to contact you by electronic and paper mail.
|
||||
|
||||
If the program does terminal interaction, make it output a short
|
||||
notice like this when it starts in an interactive mode:
|
||||
|
||||
<program> Copyright (C) <year> <name of author>
|
||||
This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
|
||||
This is free software, and you are welcome to redistribute it
|
||||
under certain conditions; type `show c' for details.
|
||||
|
||||
The hypothetical commands `show w' and `show c' should show the appropriate
|
||||
parts of the General Public License. Of course, your program's commands
|
||||
might be different; for a GUI interface, you would use an "about box".
|
||||
|
||||
You should also get your employer (if you work as a programmer) or school,
|
||||
if any, to sign a "copyright disclaimer" for the program, if necessary.
|
||||
For more information on this, and how to apply and follow the GNU GPL, see
|
||||
<http://www.gnu.org/licenses/>.
|
||||
|
||||
The GNU General Public License does not permit incorporating your program
|
||||
into proprietary programs. If your program is a subroutine library, you
|
||||
may consider it more useful to permit linking proprietary applications with
|
||||
the library. If this is what you want to do, use the GNU Lesser General
|
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Public License instead of this License. But first, please read
|
||||
<http://www.gnu.org/philosophy/why-not-lgpl.html>.
|
||||
|
|
@ -0,0 +1,502 @@
|
|||
GNU LESSER GENERAL PUBLIC LICENSE
|
||||
Version 2.1, February 1999
|
||||
|
||||
Copyright (C) 1991, 1999 Free Software Foundation, Inc.
|
||||
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
|
||||
Everyone is permitted to copy and distribute verbatim copies
|
||||
of this license document, but changing it is not allowed.
|
||||
|
||||
[This is the first released version of the Lesser GPL. It also counts
|
||||
as the successor of the GNU Library Public License, version 2, hence
|
||||
the version number 2.1.]
|
||||
|
||||
Preamble
|
||||
|
||||
The licenses for most software are designed to take away your
|
||||
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|
||||
Licenses are intended to guarantee your freedom to share and change
|
||||
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|
||||
|
||||
This license, the Lesser General Public License, applies to some
|
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|
||||
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|
||||
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|
||||
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|
||||
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|
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When we speak of free software, we are referring to freedom of use,
|
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|
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|
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|
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To protect your rights, we need to make restrictions that forbid
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|
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|
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|
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We protect your rights with a two-step method: (1) we copyright the
|
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|
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To protect each distributor, we want to make it very clear that
|
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|
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|
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|
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|
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|
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|
||||
Finally, software patents pose a constant threat to the existence of
|
||||
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|
||||
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|
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|
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|
||||
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|
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|
||||
Most GNU software, including some libraries, is covered by the
|
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|
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|
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||||
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When a program is linked with a library, whether statically or using
|
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|
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
||||
We call this license the "Lesser" General Public License because it
|
||||
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|
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|
||||
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|
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|
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|
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||||
For example, on rare occasions, there may be a special need to
|
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|
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|
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|
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In other cases, permission to use a particular library in non-free
|
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|
||||
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|
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|
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|
||||
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|
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|
||||
Although the Lesser General Public License is Less protective of the
|
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|
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The precise terms and conditions for copying, distribution and
|
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|
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|
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|
||||
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||||
GNU LESSER GENERAL PUBLIC LICENSE
|
||||
TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
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||||
|
||||
0. This License Agreement applies to any software library or other
|
||||
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|
||||
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|
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Each licensee is addressed as "you".
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A "library" means a collection of software functions and/or data
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The "Library", below, refers to any such software library or work
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"Source code" for a work means the preferred form of the work for
|
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Activities other than copying, distribution and modification are not
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||||
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|
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|
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|
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||||
(For example, a function in a library to compute square roots has
|
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|
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|
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These requirements apply to the modified work as a whole. If
|
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Thus, it is not the intent of this section to claim rights or contest
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In addition, mere aggregation of another work not based on the Library
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Once this change is made in a given copy, it is irreversible for
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If distribution of object code is made by offering access to copy
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However, linking a "work that uses the Library" with the Library
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When a "work that uses the Library" uses material from a header file
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||||
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|
||||
that part of it is a work based on the Library, and explaining
|
||||
where to find the accompanying uncombined form of the same work.
|
||||
|
||||
8. You may not copy, modify, sublicense, link with, or distribute
|
||||
the Library except as expressly provided under this License. Any
|
||||
attempt otherwise to copy, modify, sublicense, link with, or
|
||||
distribute the Library is void, and will automatically terminate your
|
||||
rights under this License. However, parties who have received copies,
|
||||
or rights, from you under this License will not have their licenses
|
||||
terminated so long as such parties remain in full compliance.
|
||||
|
||||
9. You are not required to accept this License, since you have not
|
||||
signed it. However, nothing else grants you permission to modify or
|
||||
distribute the Library or its derivative works. These actions are
|
||||
prohibited by law if you do not accept this License. Therefore, by
|
||||
modifying or distributing the Library (or any work based on the
|
||||
Library), you indicate your acceptance of this License to do so, and
|
||||
all its terms and conditions for copying, distributing or modifying
|
||||
the Library or works based on it.
|
||||
|
||||
10. Each time you redistribute the Library (or any work based on the
|
||||
Library), the recipient automatically receives a license from the
|
||||
original licensor to copy, distribute, link with or modify the Library
|
||||
subject to these terms and conditions. You may not impose any further
|
||||
restrictions on the recipients' exercise of the rights granted herein.
|
||||
You are not responsible for enforcing compliance by third parties with
|
||||
this License.
|
||||
|
||||
11. If, as a consequence of a court judgment or allegation of patent
|
||||
infringement or for any other reason (not limited to patent issues),
|
||||
conditions are imposed on you (whether by court order, agreement or
|
||||
otherwise) that contradict the conditions of this License, they do not
|
||||
excuse you from the conditions of this License. If you cannot
|
||||
distribute so as to satisfy simultaneously your obligations under this
|
||||
License and any other pertinent obligations, then as a consequence you
|
||||
may not distribute the Library at all. For example, if a patent
|
||||
license would not permit royalty-free redistribution of the Library by
|
||||
all those who receive copies directly or indirectly through you, then
|
||||
the only way you could satisfy both it and this License would be to
|
||||
refrain entirely from distribution of the Library.
|
||||
|
||||
If any portion of this section is held invalid or unenforceable under any
|
||||
particular circumstance, the balance of the section is intended to apply,
|
||||
and the section as a whole is intended to apply in other circumstances.
|
||||
|
||||
It is not the purpose of this section to induce you to infringe any
|
||||
patents or other property right claims or to contest validity of any
|
||||
such claims; this section has the sole purpose of protecting the
|
||||
integrity of the free software distribution system which is
|
||||
implemented by public license practices. Many people have made
|
||||
generous contributions to the wide range of software distributed
|
||||
through that system in reliance on consistent application of that
|
||||
system; it is up to the author/donor to decide if he or she is willing
|
||||
to distribute software through any other system and a licensee cannot
|
||||
impose that choice.
|
||||
|
||||
This section is intended to make thoroughly clear what is believed to
|
||||
be a consequence of the rest of this License.
|
||||
|
||||
12. If the distribution and/or use of the Library is restricted in
|
||||
certain countries either by patents or by copyrighted interfaces, the
|
||||
original copyright holder who places the Library under this License may add
|
||||
an explicit geographical distribution limitation excluding those countries,
|
||||
so that distribution is permitted only in or among countries not thus
|
||||
excluded. In such case, this License incorporates the limitation as if
|
||||
written in the body of this License.
|
||||
|
||||
13. The Free Software Foundation may publish revised and/or new
|
||||
versions of the Lesser General Public License from time to time.
|
||||
Such new versions will be similar in spirit to the present version,
|
||||
but may differ in detail to address new problems or concerns.
|
||||
|
||||
Each version is given a distinguishing version number. If the Library
|
||||
specifies a version number of this License which applies to it and
|
||||
"any later version", you have the option of following the terms and
|
||||
conditions either of that version or of any later version published by
|
||||
the Free Software Foundation. If the Library does not specify a
|
||||
license version number, you may choose any version ever published by
|
||||
the Free Software Foundation.
|
||||
|
||||
14. If you wish to incorporate parts of the Library into other free
|
||||
programs whose distribution conditions are incompatible with these,
|
||||
write to the author to ask for permission. For software which is
|
||||
copyrighted by the Free Software Foundation, write to the Free
|
||||
Software Foundation; we sometimes make exceptions for this. Our
|
||||
decision will be guided by the two goals of preserving the free status
|
||||
of all derivatives of our free software and of promoting the sharing
|
||||
and reuse of software generally.
|
||||
|
||||
NO WARRANTY
|
||||
|
||||
15. BECAUSE THE LIBRARY IS LICENSED FREE OF CHARGE, THERE IS NO
|
||||
WARRANTY FOR THE LIBRARY, TO THE EXTENT PERMITTED BY APPLICABLE LAW.
|
||||
EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR
|
||||
OTHER PARTIES PROVIDE THE LIBRARY "AS IS" WITHOUT WARRANTY OF ANY
|
||||
KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE
|
||||
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
||||
PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE
|
||||
LIBRARY IS WITH YOU. SHOULD THE LIBRARY PROVE DEFECTIVE, YOU ASSUME
|
||||
THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
|
||||
|
||||
16. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN
|
||||
WRITING WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY
|
||||
AND/OR REDISTRIBUTE THE LIBRARY AS PERMITTED ABOVE, BE LIABLE TO YOU
|
||||
FOR DAMAGES, INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR
|
||||
CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR INABILITY TO USE THE
|
||||
LIBRARY (INCLUDING BUT NOT LIMITED TO LOSS OF DATA OR DATA BEING
|
||||
RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A
|
||||
FAILURE OF THE LIBRARY TO OPERATE WITH ANY OTHER SOFTWARE), EVEN IF
|
||||
SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH
|
||||
DAMAGES.
|
||||
|
||||
END OF TERMS AND CONDITIONS
|
||||
|
||||
How to Apply These Terms to Your New Libraries
|
||||
|
||||
If you develop a new library, and you want it to be of the greatest
|
||||
possible use to the public, we recommend making it free software that
|
||||
everyone can redistribute and change. You can do so by permitting
|
||||
redistribution under these terms (or, alternatively, under the terms of the
|
||||
ordinary General Public License).
|
||||
|
||||
To apply these terms, attach the following notices to the library. It is
|
||||
safest to attach them to the start of each source file to most effectively
|
||||
convey the exclusion of warranty; and each file should have at least the
|
||||
"copyright" line and a pointer to where the full notice is found.
|
||||
|
||||
<one line to give the library's name and a brief idea of what it does.>
|
||||
Copyright (C) <year> <name of author>
|
||||
|
||||
This library is free software; you can redistribute it and/or
|
||||
modify it under the terms of the GNU Lesser General Public
|
||||
License as published by the Free Software Foundation; either
|
||||
version 2.1 of the License, or (at your option) any later version.
|
||||
|
||||
This library is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||
Lesser General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU Lesser General Public
|
||||
License along with this library; if not, write to the Free Software
|
||||
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
|
||||
|
||||
Also add information on how to contact you by electronic and paper mail.
|
||||
|
||||
You should also get your employer (if you work as a programmer) or your
|
||||
school, if any, to sign a "copyright disclaimer" for the library, if
|
||||
necessary. Here is a sample; alter the names:
|
||||
|
||||
Yoyodyne, Inc., hereby disclaims all copyright interest in the
|
||||
library `Frob' (a library for tweaking knobs) written by James Random Hacker.
|
||||
|
||||
<signature of Ty Coon>, 1 April 1990
|
||||
Ty Coon, President of Vice
|
||||
|
||||
That's all there is to it!
|
||||
|
|
@ -0,0 +1,51 @@
|
|||
Minpack Copyright Notice (1999) University of Chicago. All rights reserved
|
||||
|
||||
Redistribution and use in source and binary forms, with or
|
||||
without modification, are permitted provided that the
|
||||
following conditions are met:
|
||||
|
||||
1. Redistributions of source code must retain the above
|
||||
copyright notice, this list of conditions and the following
|
||||
disclaimer.
|
||||
|
||||
2. Redistributions in binary form must reproduce the above
|
||||
copyright notice, this list of conditions and the following
|
||||
disclaimer in the documentation and/or other materials
|
||||
provided with the distribution.
|
||||
|
||||
3. The end-user documentation included with the
|
||||
redistribution, if any, must include the following
|
||||
acknowledgment:
|
||||
|
||||
"This product includes software developed by the
|
||||
University of Chicago, as Operator of Argonne National
|
||||
Laboratory.
|
||||
|
||||
Alternately, this acknowledgment may appear in the software
|
||||
itself, if and wherever such third-party acknowledgments
|
||||
normally appear.
|
||||
|
||||
4. WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS"
|
||||
WITHOUT WARRANTY OF ANY KIND. THE COPYRIGHT HOLDER, THE
|
||||
UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND
|
||||
THEIR EMPLOYEES: (1) DISCLAIM ANY WARRANTIES, EXPRESS OR
|
||||
IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES
|
||||
OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE
|
||||
OR NON-INFRINGEMENT, (2) DO NOT ASSUME ANY LEGAL LIABILITY
|
||||
OR RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR
|
||||
USEFULNESS OF THE SOFTWARE, (3) DO NOT REPRESENT THAT USE OF
|
||||
THE SOFTWARE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS, (4)
|
||||
DO NOT WARRANT THAT THE SOFTWARE WILL FUNCTION
|
||||
UNINTERRUPTED, THAT IT IS ERROR-FREE OR THAT ANY ERRORS WILL
|
||||
BE CORRECTED.
|
||||
|
||||
5. LIMITATION OF LIABILITY. IN NO EVENT WILL THE COPYRIGHT
|
||||
HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF
|
||||
ENERGY, OR THEIR EMPLOYEES: BE LIABLE FOR ANY INDIRECT,
|
||||
INCIDENTAL, CONSEQUENTIAL, SPECIAL OR PUNITIVE DAMAGES OF
|
||||
ANY KIND OR NATURE, INCLUDING BUT NOT LIMITED TO LOSS OF
|
||||
PROFITS OR LOSS OF DATA, FOR ANY REASON WHATSOEVER, WHETHER
|
||||
SUCH LIABILITY IS ASSERTED ON THE BASIS OF CONTRACT, TORT
|
||||
(INCLUDING NEGLIGENCE OR STRICT LIABILITY), OR OTHERWISE,
|
||||
EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE
|
||||
POSSIBILITY OF SUCH LOSS OR DAMAGES.
|
||||
|
|
@ -0,0 +1,373 @@
|
|||
Mozilla Public License Version 2.0
|
||||
==================================
|
||||
|
||||
1. Definitions
|
||||
--------------
|
||||
|
||||
1.1. "Contributor"
|
||||
means each individual or legal entity that creates, contributes to
|
||||
the creation of, or owns Covered Software.
|
||||
|
||||
1.2. "Contributor Version"
|
||||
means the combination of the Contributions of others (if any) used
|
||||
by a Contributor and that particular Contributor's Contribution.
|
||||
|
||||
1.3. "Contribution"
|
||||
means Covered Software of a particular Contributor.
|
||||
|
||||
1.4. "Covered Software"
|
||||
means Source Code Form to which the initial Contributor has attached
|
||||
the notice in Exhibit A, the Executable Form of such Source Code
|
||||
Form, and Modifications of such Source Code Form, in each case
|
||||
including portions thereof.
|
||||
|
||||
1.5. "Incompatible With Secondary Licenses"
|
||||
means
|
||||
|
||||
(a) that the initial Contributor has attached the notice described
|
||||
in Exhibit B to the Covered Software; or
|
||||
|
||||
(b) that the Covered Software was made available under the terms of
|
||||
version 1.1 or earlier of the License, but not also under the
|
||||
terms of a Secondary License.
|
||||
|
||||
1.6. "Executable Form"
|
||||
means any form of the work other than Source Code Form.
|
||||
|
||||
1.7. "Larger Work"
|
||||
means a work that combines Covered Software with other material, in
|
||||
a separate file or files, that is not Covered Software.
|
||||
|
||||
1.8. "License"
|
||||
means this document.
|
||||
|
||||
1.9. "Licensable"
|
||||
means having the right to grant, to the maximum extent possible,
|
||||
whether at the time of the initial grant or subsequently, any and
|
||||
all of the rights conveyed by this License.
|
||||
|
||||
1.10. "Modifications"
|
||||
means any of the following:
|
||||
|
||||
(a) any file in Source Code Form that results from an addition to,
|
||||
deletion from, or modification of the contents of Covered
|
||||
Software; or
|
||||
|
||||
(b) any new file in Source Code Form that contains any Covered
|
||||
Software.
|
||||
|
||||
1.11. "Patent Claims" of a Contributor
|
||||
means any patent claim(s), including without limitation, method,
|
||||
process, and apparatus claims, in any patent Licensable by such
|
||||
Contributor that would be infringed, but for the grant of the
|
||||
License, by the making, using, selling, offering for sale, having
|
||||
made, import, or transfer of either its Contributions or its
|
||||
Contributor Version.
|
||||
|
||||
1.12. "Secondary License"
|
||||
means either the GNU General Public License, Version 2.0, the GNU
|
||||
Lesser General Public License, Version 2.1, the GNU Affero General
|
||||
Public License, Version 3.0, or any later versions of those
|
||||
licenses.
|
||||
|
||||
1.13. "Source Code Form"
|
||||
means the form of the work preferred for making modifications.
|
||||
|
||||
1.14. "You" (or "Your")
|
||||
means an individual or a legal entity exercising rights under this
|
||||
License. For legal entities, "You" includes any entity that
|
||||
controls, is controlled by, or is under common control with You. For
|
||||
purposes of this definition, "control" means (a) the power, direct
|
||||
or indirect, to cause the direction or management of such entity,
|
||||
whether by contract or otherwise, or (b) ownership of more than
|
||||
fifty percent (50%) of the outstanding shares or beneficial
|
||||
ownership of such entity.
|
||||
|
||||
2. License Grants and Conditions
|
||||
--------------------------------
|
||||
|
||||
2.1. Grants
|
||||
|
||||
Each Contributor hereby grants You a world-wide, royalty-free,
|
||||
non-exclusive license:
|
||||
|
||||
(a) under intellectual property rights (other than patent or trademark)
|
||||
Licensable by such Contributor to use, reproduce, make available,
|
||||
modify, display, perform, distribute, and otherwise exploit its
|
||||
Contributions, either on an unmodified basis, with Modifications, or
|
||||
as part of a Larger Work; and
|
||||
|
||||
(b) under Patent Claims of such Contributor to make, use, sell, offer
|
||||
for sale, have made, import, and otherwise transfer either its
|
||||
Contributions or its Contributor Version.
|
||||
|
||||
2.2. Effective Date
|
||||
|
||||
The licenses granted in Section 2.1 with respect to any Contribution
|
||||
become effective for each Contribution on the date the Contributor first
|
||||
distributes such Contribution.
|
||||
|
||||
2.3. Limitations on Grant Scope
|
||||
|
||||
The licenses granted in this Section 2 are the only rights granted under
|
||||
this License. No additional rights or licenses will be implied from the
|
||||
distribution or licensing of Covered Software under this License.
|
||||
Notwithstanding Section 2.1(b) above, no patent license is granted by a
|
||||
Contributor:
|
||||
|
||||
(a) for any code that a Contributor has removed from Covered Software;
|
||||
or
|
||||
|
||||
(b) for infringements caused by: (i) Your and any other third party's
|
||||
modifications of Covered Software, or (ii) the combination of its
|
||||
Contributions with other software (except as part of its Contributor
|
||||
Version); or
|
||||
|
||||
(c) under Patent Claims infringed by Covered Software in the absence of
|
||||
its Contributions.
|
||||
|
||||
This License does not grant any rights in the trademarks, service marks,
|
||||
or logos of any Contributor (except as may be necessary to comply with
|
||||
the notice requirements in Section 3.4).
|
||||
|
||||
2.4. Subsequent Licenses
|
||||
|
||||
No Contributor makes additional grants as a result of Your choice to
|
||||
distribute the Covered Software under a subsequent version of this
|
||||
License (see Section 10.2) or under the terms of a Secondary License (if
|
||||
permitted under the terms of Section 3.3).
|
||||
|
||||
2.5. Representation
|
||||
|
||||
Each Contributor represents that the Contributor believes its
|
||||
Contributions are its original creation(s) or it has sufficient rights
|
||||
to grant the rights to its Contributions conveyed by this License.
|
||||
|
||||
2.6. Fair Use
|
||||
|
||||
This License is not intended to limit any rights You have under
|
||||
applicable copyright doctrines of fair use, fair dealing, or other
|
||||
equivalents.
|
||||
|
||||
2.7. Conditions
|
||||
|
||||
Sections 3.1, 3.2, 3.3, and 3.4 are conditions of the licenses granted
|
||||
in Section 2.1.
|
||||
|
||||
3. Responsibilities
|
||||
-------------------
|
||||
|
||||
3.1. Distribution of Source Form
|
||||
|
||||
All distribution of Covered Software in Source Code Form, including any
|
||||
Modifications that You create or to which You contribute, must be under
|
||||
the terms of this License. You must inform recipients that the Source
|
||||
Code Form of the Covered Software is governed by the terms of this
|
||||
License, and how they can obtain a copy of this License. You may not
|
||||
attempt to alter or restrict the recipients' rights in the Source Code
|
||||
Form.
|
||||
|
||||
3.2. Distribution of Executable Form
|
||||
|
||||
If You distribute Covered Software in Executable Form then:
|
||||
|
||||
(a) such Covered Software must also be made available in Source Code
|
||||
Form, as described in Section 3.1, and You must inform recipients of
|
||||
the Executable Form how they can obtain a copy of such Source Code
|
||||
Form by reasonable means in a timely manner, at a charge no more
|
||||
than the cost of distribution to the recipient; and
|
||||
|
||||
(b) You may distribute such Executable Form under the terms of this
|
||||
License, or sublicense it under different terms, provided that the
|
||||
license for the Executable Form does not attempt to limit or alter
|
||||
the recipients' rights in the Source Code Form under this License.
|
||||
|
||||
3.3. Distribution of a Larger Work
|
||||
|
||||
You may create and distribute a Larger Work under terms of Your choice,
|
||||
provided that You also comply with the requirements of this License for
|
||||
the Covered Software. If the Larger Work is a combination of Covered
|
||||
Software with a work governed by one or more Secondary Licenses, and the
|
||||
Covered Software is not Incompatible With Secondary Licenses, this
|
||||
License permits You to additionally distribute such Covered Software
|
||||
under the terms of such Secondary License(s), so that the recipient of
|
||||
the Larger Work may, at their option, further distribute the Covered
|
||||
Software under the terms of either this License or such Secondary
|
||||
License(s).
|
||||
|
||||
3.4. Notices
|
||||
|
||||
You may not remove or alter the substance of any license notices
|
||||
(including copyright notices, patent notices, disclaimers of warranty,
|
||||
or limitations of liability) contained within the Source Code Form of
|
||||
the Covered Software, except that You may alter any license notices to
|
||||
the extent required to remedy known factual inaccuracies.
|
||||
|
||||
3.5. Application of Additional Terms
|
||||
|
||||
You may choose to offer, and to charge a fee for, warranty, support,
|
||||
indemnity or liability obligations to one or more recipients of Covered
|
||||
Software. However, You may do so only on Your own behalf, and not on
|
||||
behalf of any Contributor. You must make it absolutely clear that any
|
||||
such warranty, support, indemnity, or liability obligation is offered by
|
||||
You alone, and You hereby agree to indemnify every Contributor for any
|
||||
liability incurred by such Contributor as a result of warranty, support,
|
||||
indemnity or liability terms You offer. You may include additional
|
||||
disclaimers of warranty and limitations of liability specific to any
|
||||
jurisdiction.
|
||||
|
||||
4. Inability to Comply Due to Statute or Regulation
|
||||
---------------------------------------------------
|
||||
|
||||
If it is impossible for You to comply with any of the terms of this
|
||||
License with respect to some or all of the Covered Software due to
|
||||
statute, judicial order, or regulation then You must: (a) comply with
|
||||
the terms of this License to the maximum extent possible; and (b)
|
||||
describe the limitations and the code they affect. Such description must
|
||||
be placed in a text file included with all distributions of the Covered
|
||||
Software under this License. Except to the extent prohibited by statute
|
||||
or regulation, such description must be sufficiently detailed for a
|
||||
recipient of ordinary skill to be able to understand it.
|
||||
|
||||
5. Termination
|
||||
--------------
|
||||
|
||||
5.1. The rights granted under this License will terminate automatically
|
||||
if You fail to comply with any of its terms. However, if You become
|
||||
compliant, then the rights granted under this License from a particular
|
||||
Contributor are reinstated (a) provisionally, unless and until such
|
||||
Contributor explicitly and finally terminates Your grants, and (b) on an
|
||||
ongoing basis, if such Contributor fails to notify You of the
|
||||
non-compliance by some reasonable means prior to 60 days after You have
|
||||
come back into compliance. Moreover, Your grants from a particular
|
||||
Contributor are reinstated on an ongoing basis if such Contributor
|
||||
notifies You of the non-compliance by some reasonable means, this is the
|
||||
first time You have received notice of non-compliance with this License
|
||||
from such Contributor, and You become compliant prior to 30 days after
|
||||
Your receipt of the notice.
|
||||
|
||||
5.2. If You initiate litigation against any entity by asserting a patent
|
||||
infringement claim (excluding declaratory judgment actions,
|
||||
counter-claims, and cross-claims) alleging that a Contributor Version
|
||||
directly or indirectly infringes any patent, then the rights granted to
|
||||
You by any and all Contributors for the Covered Software under Section
|
||||
2.1 of this License shall terminate.
|
||||
|
||||
5.3. In the event of termination under Sections 5.1 or 5.2 above, all
|
||||
end user license agreements (excluding distributors and resellers) which
|
||||
have been validly granted by You or Your distributors under this License
|
||||
prior to termination shall survive termination.
|
||||
|
||||
************************************************************************
|
||||
* *
|
||||
* 6. Disclaimer of Warranty *
|
||||
* ------------------------- *
|
||||
* *
|
||||
* Covered Software is provided under this License on an "as is" *
|
||||
* basis, without warranty of any kind, either expressed, implied, or *
|
||||
* statutory, including, without limitation, warranties that the *
|
||||
* Covered Software is free of defects, merchantable, fit for a *
|
||||
* particular purpose or non-infringing. The entire risk as to the *
|
||||
* quality and performance of the Covered Software is with You. *
|
||||
* Should any Covered Software prove defective in any respect, You *
|
||||
* (not any Contributor) assume the cost of any necessary servicing, *
|
||||
* repair, or correction. This disclaimer of warranty constitutes an *
|
||||
* essential part of this License. No use of any Covered Software is *
|
||||
* authorized under this License except under this disclaimer. *
|
||||
* *
|
||||
************************************************************************
|
||||
|
||||
************************************************************************
|
||||
* *
|
||||
* 7. Limitation of Liability *
|
||||
* -------------------------- *
|
||||
* *
|
||||
* Under no circumstances and under no legal theory, whether tort *
|
||||
* (including negligence), contract, or otherwise, shall any *
|
||||
* Contributor, or anyone who distributes Covered Software as *
|
||||
* permitted above, be liable to You for any direct, indirect, *
|
||||
* special, incidental, or consequential damages of any character *
|
||||
* including, without limitation, damages for lost profits, loss of *
|
||||
* goodwill, work stoppage, computer failure or malfunction, or any *
|
||||
* and all other commercial damages or losses, even if such party *
|
||||
* shall have been informed of the possibility of such damages. This *
|
||||
* limitation of liability shall not apply to liability for death or *
|
||||
* personal injury resulting from such party's negligence to the *
|
||||
* extent applicable law prohibits such limitation. Some *
|
||||
* jurisdictions do not allow the exclusion or limitation of *
|
||||
* incidental or consequential damages, so this exclusion and *
|
||||
* limitation may not apply to You. *
|
||||
* *
|
||||
************************************************************************
|
||||
|
||||
8. Litigation
|
||||
-------------
|
||||
|
||||
Any litigation relating to this License may be brought only in the
|
||||
courts of a jurisdiction where the defendant maintains its principal
|
||||
place of business and such litigation shall be governed by laws of that
|
||||
jurisdiction, without reference to its conflict-of-law provisions.
|
||||
Nothing in this Section shall prevent a party's ability to bring
|
||||
cross-claims or counter-claims.
|
||||
|
||||
9. Miscellaneous
|
||||
----------------
|
||||
|
||||
This License represents the complete agreement concerning the subject
|
||||
matter hereof. If any provision of this License is held to be
|
||||
unenforceable, such provision shall be reformed only to the extent
|
||||
necessary to make it enforceable. Any law or regulation which provides
|
||||
that the language of a contract shall be construed against the drafter
|
||||
shall not be used to construe this License against a Contributor.
|
||||
|
||||
10. Versions of the License
|
||||
---------------------------
|
||||
|
||||
10.1. New Versions
|
||||
|
||||
Mozilla Foundation is the license steward. Except as provided in Section
|
||||
10.3, no one other than the license steward has the right to modify or
|
||||
publish new versions of this License. Each version will be given a
|
||||
distinguishing version number.
|
||||
|
||||
10.2. Effect of New Versions
|
||||
|
||||
You may distribute the Covered Software under the terms of the version
|
||||
of the License under which You originally received the Covered Software,
|
||||
or under the terms of any subsequent version published by the license
|
||||
steward.
|
||||
|
||||
10.3. Modified Versions
|
||||
|
||||
If you create software not governed by this License, and you want to
|
||||
create a new license for such software, you may create and use a
|
||||
modified version of this License if you rename the license and remove
|
||||
any references to the name of the license steward (except to note that
|
||||
such modified license differs from this License).
|
||||
|
||||
10.4. Distributing Source Code Form that is Incompatible With Secondary
|
||||
Licenses
|
||||
|
||||
If You choose to distribute Source Code Form that is Incompatible With
|
||||
Secondary Licenses under the terms of this version of the License, the
|
||||
notice described in Exhibit B of this License must be attached.
|
||||
|
||||
Exhibit A - Source Code Form License Notice
|
||||
-------------------------------------------
|
||||
|
||||
This Source Code Form is subject to the terms of the Mozilla Public
|
||||
License, v. 2.0. If a copy of the MPL was not distributed with this
|
||||
file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
If it is not possible or desirable to put the notice in a particular
|
||||
file, then You may include the notice in a location (such as a LICENSE
|
||||
file in a relevant directory) where a recipient would be likely to look
|
||||
for such a notice.
|
||||
|
||||
You may add additional accurate notices of copyright ownership.
|
||||
|
||||
Exhibit B - "Incompatible With Secondary Licenses" Notice
|
||||
---------------------------------------------------------
|
||||
|
||||
This Source Code Form is "Incompatible With Secondary Licenses", as
|
||||
defined by the Mozilla Public License, v. 2.0.
|
||||
|
|
@ -0,0 +1,18 @@
|
|||
Eigen is primarily MPL2 licensed. See COPYING.MPL2 and these links:
|
||||
http://www.mozilla.org/MPL/2.0/
|
||||
http://www.mozilla.org/MPL/2.0/FAQ.html
|
||||
|
||||
Some files contain third-party code under BSD or LGPL licenses, whence the other
|
||||
COPYING.* files here.
|
||||
|
||||
All the LGPL code is either LGPL 2.1-only, or LGPL 2.1-or-later.
|
||||
For this reason, the COPYING.LGPL file contains the LGPL 2.1 text.
|
||||
|
||||
If you want to guarantee that the Eigen code that you are #including is licensed
|
||||
under the MPL2 and possibly more permissive licenses (like BSD), #define this
|
||||
preprocessor symbol:
|
||||
EIGEN_MPL2_ONLY
|
||||
For example, with most compilers, you could add this to your project CXXFLAGS:
|
||||
-DEIGEN_MPL2_ONLY
|
||||
This will cause a compilation error to be generated if you #include any code that is
|
||||
LGPL licensed.
|
||||
|
|
@ -0,0 +1,17 @@
|
|||
## This file should be placed in the root directory of your project.
|
||||
## Then modify the CMakeLists.txt file in the root directory of your
|
||||
## project to incorporate the testing dashboard.
|
||||
## # The following are required to uses Dart and the Cdash dashboard
|
||||
## enable_testing()
|
||||
## include(CTest)
|
||||
set(CTEST_PROJECT_NAME "Eigen")
|
||||
set(CTEST_NIGHTLY_START_TIME "00:00:00 UTC")
|
||||
|
||||
set(CTEST_DROP_METHOD "http")
|
||||
set(CTEST_DROP_SITE "my.cdash.org")
|
||||
set(CTEST_DROP_LOCATION "/submit.php?project=Eigen")
|
||||
set(CTEST_DROP_SITE_CDASH TRUE)
|
||||
#set(CTEST_PROJECT_SUBPROJECTS
|
||||
#Official
|
||||
#Unsupported
|
||||
#)
|
||||
|
|
@ -0,0 +1,4 @@
|
|||
|
||||
set(CTEST_CUSTOM_MAXIMUM_NUMBER_OF_WARNINGS "2000")
|
||||
set(CTEST_CUSTOM_MAXIMUM_NUMBER_OF_ERRORS "2000")
|
||||
list(APPEND CTEST_CUSTOM_ERROR_EXCEPTION @EIGEN_CTEST_ERROR_EXCEPTION@)
|
||||
|
|
@ -0,0 +1,45 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_CHOLESKY_MODULE_H
|
||||
#define EIGEN_CHOLESKY_MODULE_H
|
||||
|
||||
#include "Core"
|
||||
#include "Jacobi"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
/** \defgroup Cholesky_Module Cholesky module
|
||||
*
|
||||
*
|
||||
*
|
||||
* This module provides two variants of the Cholesky decomposition for selfadjoint (hermitian) matrices.
|
||||
* Those decompositions are also accessible via the following methods:
|
||||
* - MatrixBase::llt()
|
||||
* - MatrixBase::ldlt()
|
||||
* - SelfAdjointView::llt()
|
||||
* - SelfAdjointView::ldlt()
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/Cholesky>
|
||||
* \endcode
|
||||
*/
|
||||
|
||||
#include "src/Cholesky/LLT.h"
|
||||
#include "src/Cholesky/LDLT.h"
|
||||
#ifdef EIGEN_USE_LAPACKE
|
||||
#ifdef EIGEN_USE_MKL
|
||||
#include "mkl_lapacke.h"
|
||||
#else
|
||||
#include "src/misc/lapacke.h"
|
||||
#endif
|
||||
#include "src/Cholesky/LLT_LAPACKE.h"
|
||||
#endif
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_CHOLESKY_MODULE_H
|
||||
|
|
@ -0,0 +1,48 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_CHOLMODSUPPORT_MODULE_H
|
||||
#define EIGEN_CHOLMODSUPPORT_MODULE_H
|
||||
|
||||
#include "SparseCore"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
extern "C" {
|
||||
#include <cholmod.h>
|
||||
}
|
||||
|
||||
/** \ingroup Support_modules
|
||||
* \defgroup CholmodSupport_Module CholmodSupport module
|
||||
*
|
||||
* This module provides an interface to the Cholmod library which is part of the <a href="http://www.suitesparse.com">suitesparse</a> package.
|
||||
* It provides the two following main factorization classes:
|
||||
* - class CholmodSupernodalLLT: a supernodal LLT Cholesky factorization.
|
||||
* - class CholmodDecomposiiton: a general L(D)LT Cholesky factorization with automatic or explicit runtime selection of the underlying factorization method (supernodal or simplicial).
|
||||
*
|
||||
* For the sake of completeness, this module also propose the two following classes:
|
||||
* - class CholmodSimplicialLLT
|
||||
* - class CholmodSimplicialLDLT
|
||||
* Note that these classes does not bring any particular advantage compared to the built-in
|
||||
* SimplicialLLT and SimplicialLDLT factorization classes.
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/CholmodSupport>
|
||||
* \endcode
|
||||
*
|
||||
* In order to use this module, the cholmod headers must be accessible from the include paths, and your binary must be linked to the cholmod library and its dependencies.
|
||||
* The dependencies depend on how cholmod has been compiled.
|
||||
* For a cmake based project, you can use our FindCholmod.cmake module to help you in this task.
|
||||
*
|
||||
*/
|
||||
|
||||
#include "src/CholmodSupport/CholmodSupport.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_CHOLMODSUPPORT_MODULE_H
|
||||
|
||||
|
|
@ -0,0 +1,384 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2007-2011 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_CORE_H
|
||||
#define EIGEN_CORE_H
|
||||
|
||||
// first thing Eigen does: stop the compiler from reporting useless warnings.
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
// then include this file where all our macros are defined. It's really important to do it first because
|
||||
// it's where we do all the compiler/OS/arch detections and define most defaults.
|
||||
#include "src/Core/util/Macros.h"
|
||||
|
||||
// This detects SSE/AVX/NEON/etc. and configure alignment settings
|
||||
#include "src/Core/util/ConfigureVectorization.h"
|
||||
|
||||
// We need cuda_runtime.h/hip_runtime.h to ensure that
|
||||
// the EIGEN_USING_STD macro works properly on the device side
|
||||
#if defined(EIGEN_CUDACC)
|
||||
#include <cuda_runtime.h>
|
||||
#elif defined(EIGEN_HIPCC)
|
||||
#include <hip/hip_runtime.h>
|
||||
#endif
|
||||
|
||||
|
||||
#ifdef EIGEN_EXCEPTIONS
|
||||
#include <new>
|
||||
#endif
|
||||
|
||||
// Disable the ipa-cp-clone optimization flag with MinGW 6.x or newer (enabled by default with -O3)
|
||||
// See http://eigen.tuxfamily.org/bz/show_bug.cgi?id=556 for details.
|
||||
#if EIGEN_COMP_MINGW && EIGEN_GNUC_AT_LEAST(4,6) && EIGEN_GNUC_AT_MOST(5,5)
|
||||
#pragma GCC optimize ("-fno-ipa-cp-clone")
|
||||
#endif
|
||||
|
||||
// Prevent ICC from specializing std::complex operators that silently fail
|
||||
// on device. This allows us to use our own device-compatible specializations
|
||||
// instead.
|
||||
#if defined(EIGEN_COMP_ICC) && defined(EIGEN_GPU_COMPILE_PHASE) \
|
||||
&& !defined(_OVERRIDE_COMPLEX_SPECIALIZATION_)
|
||||
#define _OVERRIDE_COMPLEX_SPECIALIZATION_ 1
|
||||
#endif
|
||||
#include <complex>
|
||||
|
||||
// this include file manages BLAS and MKL related macros
|
||||
// and inclusion of their respective header files
|
||||
#include "src/Core/util/MKL_support.h"
|
||||
|
||||
|
||||
#if defined(EIGEN_HAS_CUDA_FP16) || defined(EIGEN_HAS_HIP_FP16)
|
||||
#define EIGEN_HAS_GPU_FP16
|
||||
#endif
|
||||
|
||||
#if defined(EIGEN_HAS_CUDA_BF16) || defined(EIGEN_HAS_HIP_BF16)
|
||||
#define EIGEN_HAS_GPU_BF16
|
||||
#endif
|
||||
|
||||
#if (defined _OPENMP) && (!defined EIGEN_DONT_PARALLELIZE)
|
||||
#define EIGEN_HAS_OPENMP
|
||||
#endif
|
||||
|
||||
#ifdef EIGEN_HAS_OPENMP
|
||||
#include <omp.h>
|
||||
#endif
|
||||
|
||||
// MSVC for windows mobile does not have the errno.h file
|
||||
#if !(EIGEN_COMP_MSVC && EIGEN_OS_WINCE) && !EIGEN_COMP_ARM
|
||||
#define EIGEN_HAS_ERRNO
|
||||
#endif
|
||||
|
||||
#ifdef EIGEN_HAS_ERRNO
|
||||
#include <cerrno>
|
||||
#endif
|
||||
#include <cstddef>
|
||||
#include <cstdlib>
|
||||
#include <cmath>
|
||||
#include <cassert>
|
||||
#include <functional>
|
||||
#include <sstream>
|
||||
#ifndef EIGEN_NO_IO
|
||||
#include <iosfwd>
|
||||
#endif
|
||||
#include <cstring>
|
||||
#include <string>
|
||||
#include <limits>
|
||||
#include <climits> // for CHAR_BIT
|
||||
// for min/max:
|
||||
#include <algorithm>
|
||||
|
||||
#if EIGEN_HAS_CXX11
|
||||
#include <array>
|
||||
#endif
|
||||
|
||||
// for std::is_nothrow_move_assignable
|
||||
#ifdef EIGEN_INCLUDE_TYPE_TRAITS
|
||||
#include <type_traits>
|
||||
#endif
|
||||
|
||||
// for outputting debug info
|
||||
#ifdef EIGEN_DEBUG_ASSIGN
|
||||
#include <iostream>
|
||||
#endif
|
||||
|
||||
// required for __cpuid, needs to be included after cmath
|
||||
#if EIGEN_COMP_MSVC && EIGEN_ARCH_i386_OR_x86_64 && !EIGEN_OS_WINCE
|
||||
#include <intrin.h>
|
||||
#endif
|
||||
|
||||
#if defined(EIGEN_USE_SYCL)
|
||||
#undef min
|
||||
#undef max
|
||||
#undef isnan
|
||||
#undef isinf
|
||||
#undef isfinite
|
||||
#include <CL/sycl.hpp>
|
||||
#include <map>
|
||||
#include <memory>
|
||||
#include <utility>
|
||||
#include <thread>
|
||||
#ifndef EIGEN_SYCL_LOCAL_THREAD_DIM0
|
||||
#define EIGEN_SYCL_LOCAL_THREAD_DIM0 16
|
||||
#endif
|
||||
#ifndef EIGEN_SYCL_LOCAL_THREAD_DIM1
|
||||
#define EIGEN_SYCL_LOCAL_THREAD_DIM1 16
|
||||
#endif
|
||||
#endif
|
||||
|
||||
|
||||
#if defined EIGEN2_SUPPORT_STAGE40_FULL_EIGEN3_STRICTNESS || defined EIGEN2_SUPPORT_STAGE30_FULL_EIGEN3_API || defined EIGEN2_SUPPORT_STAGE20_RESOLVE_API_CONFLICTS || defined EIGEN2_SUPPORT_STAGE10_FULL_EIGEN2_API || defined EIGEN2_SUPPORT
|
||||
// This will generate an error message:
|
||||
#error Eigen2-support is only available up to version 3.2. Please go to "http://eigen.tuxfamily.org/index.php?title=Eigen2" for further information
|
||||
#endif
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
// we use size_t frequently and we'll never remember to prepend it with std:: every time just to
|
||||
// ensure QNX/QCC support
|
||||
using std::size_t;
|
||||
// gcc 4.6.0 wants std:: for ptrdiff_t
|
||||
using std::ptrdiff_t;
|
||||
|
||||
}
|
||||
|
||||
/** \defgroup Core_Module Core module
|
||||
* This is the main module of Eigen providing dense matrix and vector support
|
||||
* (both fixed and dynamic size) with all the features corresponding to a BLAS library
|
||||
* and much more...
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/Core>
|
||||
* \endcode
|
||||
*/
|
||||
|
||||
#include "src/Core/util/Constants.h"
|
||||
#include "src/Core/util/Meta.h"
|
||||
#include "src/Core/util/ForwardDeclarations.h"
|
||||
#include "src/Core/util/StaticAssert.h"
|
||||
#include "src/Core/util/XprHelper.h"
|
||||
#include "src/Core/util/Memory.h"
|
||||
#include "src/Core/util/IntegralConstant.h"
|
||||
#include "src/Core/util/SymbolicIndex.h"
|
||||
|
||||
#include "src/Core/NumTraits.h"
|
||||
#include "src/Core/MathFunctions.h"
|
||||
#include "src/Core/GenericPacketMath.h"
|
||||
#include "src/Core/MathFunctionsImpl.h"
|
||||
#include "src/Core/arch/Default/ConjHelper.h"
|
||||
// Generic half float support
|
||||
#include "src/Core/arch/Default/Half.h"
|
||||
#include "src/Core/arch/Default/BFloat16.h"
|
||||
#include "src/Core/arch/Default/TypeCasting.h"
|
||||
#include "src/Core/arch/Default/GenericPacketMathFunctionsFwd.h"
|
||||
|
||||
#if defined EIGEN_VECTORIZE_AVX512
|
||||
#include "src/Core/arch/SSE/PacketMath.h"
|
||||
#include "src/Core/arch/SSE/TypeCasting.h"
|
||||
#include "src/Core/arch/SSE/Complex.h"
|
||||
#include "src/Core/arch/AVX/PacketMath.h"
|
||||
#include "src/Core/arch/AVX/TypeCasting.h"
|
||||
#include "src/Core/arch/AVX/Complex.h"
|
||||
#include "src/Core/arch/AVX512/PacketMath.h"
|
||||
#include "src/Core/arch/AVX512/TypeCasting.h"
|
||||
#include "src/Core/arch/AVX512/Complex.h"
|
||||
#include "src/Core/arch/SSE/MathFunctions.h"
|
||||
#include "src/Core/arch/AVX/MathFunctions.h"
|
||||
#include "src/Core/arch/AVX512/MathFunctions.h"
|
||||
#elif defined EIGEN_VECTORIZE_AVX
|
||||
// Use AVX for floats and doubles, SSE for integers
|
||||
#include "src/Core/arch/SSE/PacketMath.h"
|
||||
#include "src/Core/arch/SSE/TypeCasting.h"
|
||||
#include "src/Core/arch/SSE/Complex.h"
|
||||
#include "src/Core/arch/AVX/PacketMath.h"
|
||||
#include "src/Core/arch/AVX/TypeCasting.h"
|
||||
#include "src/Core/arch/AVX/Complex.h"
|
||||
#include "src/Core/arch/SSE/MathFunctions.h"
|
||||
#include "src/Core/arch/AVX/MathFunctions.h"
|
||||
#elif defined EIGEN_VECTORIZE_SSE
|
||||
#include "src/Core/arch/SSE/PacketMath.h"
|
||||
#include "src/Core/arch/SSE/TypeCasting.h"
|
||||
#include "src/Core/arch/SSE/MathFunctions.h"
|
||||
#include "src/Core/arch/SSE/Complex.h"
|
||||
#elif defined(EIGEN_VECTORIZE_ALTIVEC) || defined(EIGEN_VECTORIZE_VSX)
|
||||
#include "src/Core/arch/AltiVec/PacketMath.h"
|
||||
#include "src/Core/arch/AltiVec/MathFunctions.h"
|
||||
#include "src/Core/arch/AltiVec/Complex.h"
|
||||
#elif defined EIGEN_VECTORIZE_NEON
|
||||
#include "src/Core/arch/NEON/PacketMath.h"
|
||||
#include "src/Core/arch/NEON/TypeCasting.h"
|
||||
#include "src/Core/arch/NEON/MathFunctions.h"
|
||||
#include "src/Core/arch/NEON/Complex.h"
|
||||
#elif defined EIGEN_VECTORIZE_SVE
|
||||
#include "src/Core/arch/SVE/PacketMath.h"
|
||||
#include "src/Core/arch/SVE/TypeCasting.h"
|
||||
#include "src/Core/arch/SVE/MathFunctions.h"
|
||||
#elif defined EIGEN_VECTORIZE_ZVECTOR
|
||||
#include "src/Core/arch/ZVector/PacketMath.h"
|
||||
#include "src/Core/arch/ZVector/MathFunctions.h"
|
||||
#include "src/Core/arch/ZVector/Complex.h"
|
||||
#elif defined EIGEN_VECTORIZE_MSA
|
||||
#include "src/Core/arch/MSA/PacketMath.h"
|
||||
#include "src/Core/arch/MSA/MathFunctions.h"
|
||||
#include "src/Core/arch/MSA/Complex.h"
|
||||
#endif
|
||||
|
||||
#if defined EIGEN_VECTORIZE_GPU
|
||||
#include "src/Core/arch/GPU/PacketMath.h"
|
||||
#include "src/Core/arch/GPU/MathFunctions.h"
|
||||
#include "src/Core/arch/GPU/TypeCasting.h"
|
||||
#endif
|
||||
|
||||
#if defined(EIGEN_USE_SYCL)
|
||||
#include "src/Core/arch/SYCL/SyclMemoryModel.h"
|
||||
#include "src/Core/arch/SYCL/InteropHeaders.h"
|
||||
#if !defined(EIGEN_DONT_VECTORIZE_SYCL)
|
||||
#include "src/Core/arch/SYCL/PacketMath.h"
|
||||
#include "src/Core/arch/SYCL/MathFunctions.h"
|
||||
#include "src/Core/arch/SYCL/TypeCasting.h"
|
||||
#endif
|
||||
#endif
|
||||
|
||||
#include "src/Core/arch/Default/Settings.h"
|
||||
// This file provides generic implementations valid for scalar as well
|
||||
#include "src/Core/arch/Default/GenericPacketMathFunctions.h"
|
||||
|
||||
#include "src/Core/functors/TernaryFunctors.h"
|
||||
#include "src/Core/functors/BinaryFunctors.h"
|
||||
#include "src/Core/functors/UnaryFunctors.h"
|
||||
#include "src/Core/functors/NullaryFunctors.h"
|
||||
#include "src/Core/functors/StlFunctors.h"
|
||||
#include "src/Core/functors/AssignmentFunctors.h"
|
||||
|
||||
// Specialized functors to enable the processing of complex numbers
|
||||
// on CUDA devices
|
||||
#ifdef EIGEN_CUDACC
|
||||
#include "src/Core/arch/CUDA/Complex.h"
|
||||
#endif
|
||||
|
||||
#include "src/Core/util/IndexedViewHelper.h"
|
||||
#include "src/Core/util/ReshapedHelper.h"
|
||||
#include "src/Core/ArithmeticSequence.h"
|
||||
#ifndef EIGEN_NO_IO
|
||||
#include "src/Core/IO.h"
|
||||
#endif
|
||||
#include "src/Core/DenseCoeffsBase.h"
|
||||
#include "src/Core/DenseBase.h"
|
||||
#include "src/Core/MatrixBase.h"
|
||||
#include "src/Core/EigenBase.h"
|
||||
|
||||
#include "src/Core/Product.h"
|
||||
#include "src/Core/CoreEvaluators.h"
|
||||
#include "src/Core/AssignEvaluator.h"
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN // work around Doxygen bug triggered by Assign.h r814874
|
||||
// at least confirmed with Doxygen 1.5.5 and 1.5.6
|
||||
#include "src/Core/Assign.h"
|
||||
#endif
|
||||
|
||||
#include "src/Core/ArrayBase.h"
|
||||
#include "src/Core/util/BlasUtil.h"
|
||||
#include "src/Core/DenseStorage.h"
|
||||
#include "src/Core/NestByValue.h"
|
||||
|
||||
// #include "src/Core/ForceAlignedAccess.h"
|
||||
|
||||
#include "src/Core/ReturnByValue.h"
|
||||
#include "src/Core/NoAlias.h"
|
||||
#include "src/Core/PlainObjectBase.h"
|
||||
#include "src/Core/Matrix.h"
|
||||
#include "src/Core/Array.h"
|
||||
#include "src/Core/CwiseTernaryOp.h"
|
||||
#include "src/Core/CwiseBinaryOp.h"
|
||||
#include "src/Core/CwiseUnaryOp.h"
|
||||
#include "src/Core/CwiseNullaryOp.h"
|
||||
#include "src/Core/CwiseUnaryView.h"
|
||||
#include "src/Core/SelfCwiseBinaryOp.h"
|
||||
#include "src/Core/Dot.h"
|
||||
#include "src/Core/StableNorm.h"
|
||||
#include "src/Core/Stride.h"
|
||||
#include "src/Core/MapBase.h"
|
||||
#include "src/Core/Map.h"
|
||||
#include "src/Core/Ref.h"
|
||||
#include "src/Core/Block.h"
|
||||
#include "src/Core/VectorBlock.h"
|
||||
#include "src/Core/IndexedView.h"
|
||||
#include "src/Core/Reshaped.h"
|
||||
#include "src/Core/Transpose.h"
|
||||
#include "src/Core/DiagonalMatrix.h"
|
||||
#include "src/Core/Diagonal.h"
|
||||
#include "src/Core/DiagonalProduct.h"
|
||||
#include "src/Core/Redux.h"
|
||||
#include "src/Core/Visitor.h"
|
||||
#include "src/Core/Fuzzy.h"
|
||||
#include "src/Core/Swap.h"
|
||||
#include "src/Core/CommaInitializer.h"
|
||||
#include "src/Core/GeneralProduct.h"
|
||||
#include "src/Core/Solve.h"
|
||||
#include "src/Core/Inverse.h"
|
||||
#include "src/Core/SolverBase.h"
|
||||
#include "src/Core/PermutationMatrix.h"
|
||||
#include "src/Core/Transpositions.h"
|
||||
#include "src/Core/TriangularMatrix.h"
|
||||
#include "src/Core/SelfAdjointView.h"
|
||||
#include "src/Core/products/GeneralBlockPanelKernel.h"
|
||||
#include "src/Core/products/Parallelizer.h"
|
||||
#include "src/Core/ProductEvaluators.h"
|
||||
#include "src/Core/products/GeneralMatrixVector.h"
|
||||
#include "src/Core/products/GeneralMatrixMatrix.h"
|
||||
#include "src/Core/SolveTriangular.h"
|
||||
#include "src/Core/products/GeneralMatrixMatrixTriangular.h"
|
||||
#include "src/Core/products/SelfadjointMatrixVector.h"
|
||||
#include "src/Core/products/SelfadjointMatrixMatrix.h"
|
||||
#include "src/Core/products/SelfadjointProduct.h"
|
||||
#include "src/Core/products/SelfadjointRank2Update.h"
|
||||
#include "src/Core/products/TriangularMatrixVector.h"
|
||||
#include "src/Core/products/TriangularMatrixMatrix.h"
|
||||
#include "src/Core/products/TriangularSolverMatrix.h"
|
||||
#include "src/Core/products/TriangularSolverVector.h"
|
||||
#include "src/Core/BandMatrix.h"
|
||||
#include "src/Core/CoreIterators.h"
|
||||
#include "src/Core/ConditionEstimator.h"
|
||||
|
||||
#if defined(EIGEN_VECTORIZE_ALTIVEC) || defined(EIGEN_VECTORIZE_VSX)
|
||||
#include "src/Core/arch/AltiVec/MatrixProduct.h"
|
||||
#elif defined EIGEN_VECTORIZE_NEON
|
||||
#include "src/Core/arch/NEON/GeneralBlockPanelKernel.h"
|
||||
#endif
|
||||
|
||||
#include "src/Core/BooleanRedux.h"
|
||||
#include "src/Core/Select.h"
|
||||
#include "src/Core/VectorwiseOp.h"
|
||||
#include "src/Core/PartialReduxEvaluator.h"
|
||||
#include "src/Core/Random.h"
|
||||
#include "src/Core/Replicate.h"
|
||||
#include "src/Core/Reverse.h"
|
||||
#include "src/Core/ArrayWrapper.h"
|
||||
#include "src/Core/StlIterators.h"
|
||||
|
||||
#ifdef EIGEN_USE_BLAS
|
||||
#include "src/Core/products/GeneralMatrixMatrix_BLAS.h"
|
||||
#include "src/Core/products/GeneralMatrixVector_BLAS.h"
|
||||
#include "src/Core/products/GeneralMatrixMatrixTriangular_BLAS.h"
|
||||
#include "src/Core/products/SelfadjointMatrixMatrix_BLAS.h"
|
||||
#include "src/Core/products/SelfadjointMatrixVector_BLAS.h"
|
||||
#include "src/Core/products/TriangularMatrixMatrix_BLAS.h"
|
||||
#include "src/Core/products/TriangularMatrixVector_BLAS.h"
|
||||
#include "src/Core/products/TriangularSolverMatrix_BLAS.h"
|
||||
#endif // EIGEN_USE_BLAS
|
||||
|
||||
#ifdef EIGEN_USE_MKL_VML
|
||||
#include "src/Core/Assign_MKL.h"
|
||||
#endif
|
||||
|
||||
#include "src/Core/GlobalFunctions.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_CORE_H
|
||||
|
|
@ -0,0 +1,7 @@
|
|||
#include "Core"
|
||||
#include "LU"
|
||||
#include "Cholesky"
|
||||
#include "QR"
|
||||
#include "SVD"
|
||||
#include "Geometry"
|
||||
#include "Eigenvalues"
|
||||
|
|
@ -0,0 +1,2 @@
|
|||
#include "Dense"
|
||||
#include "Sparse"
|
||||
|
|
@ -0,0 +1,60 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_EIGENVALUES_MODULE_H
|
||||
#define EIGEN_EIGENVALUES_MODULE_H
|
||||
|
||||
#include "Core"
|
||||
|
||||
#include "Cholesky"
|
||||
#include "Jacobi"
|
||||
#include "Householder"
|
||||
#include "LU"
|
||||
#include "Geometry"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
/** \defgroup Eigenvalues_Module Eigenvalues module
|
||||
*
|
||||
*
|
||||
*
|
||||
* This module mainly provides various eigenvalue solvers.
|
||||
* This module also provides some MatrixBase methods, including:
|
||||
* - MatrixBase::eigenvalues(),
|
||||
* - MatrixBase::operatorNorm()
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/Eigenvalues>
|
||||
* \endcode
|
||||
*/
|
||||
|
||||
#include "src/misc/RealSvd2x2.h"
|
||||
#include "src/Eigenvalues/Tridiagonalization.h"
|
||||
#include "src/Eigenvalues/RealSchur.h"
|
||||
#include "src/Eigenvalues/EigenSolver.h"
|
||||
#include "src/Eigenvalues/SelfAdjointEigenSolver.h"
|
||||
#include "src/Eigenvalues/GeneralizedSelfAdjointEigenSolver.h"
|
||||
#include "src/Eigenvalues/HessenbergDecomposition.h"
|
||||
#include "src/Eigenvalues/ComplexSchur.h"
|
||||
#include "src/Eigenvalues/ComplexEigenSolver.h"
|
||||
#include "src/Eigenvalues/RealQZ.h"
|
||||
#include "src/Eigenvalues/GeneralizedEigenSolver.h"
|
||||
#include "src/Eigenvalues/MatrixBaseEigenvalues.h"
|
||||
#ifdef EIGEN_USE_LAPACKE
|
||||
#ifdef EIGEN_USE_MKL
|
||||
#include "mkl_lapacke.h"
|
||||
#else
|
||||
#include "src/misc/lapacke.h"
|
||||
#endif
|
||||
#include "src/Eigenvalues/RealSchur_LAPACKE.h"
|
||||
#include "src/Eigenvalues/ComplexSchur_LAPACKE.h"
|
||||
#include "src/Eigenvalues/SelfAdjointEigenSolver_LAPACKE.h"
|
||||
#endif
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_EIGENVALUES_MODULE_H
|
||||
|
|
@ -0,0 +1,59 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_GEOMETRY_MODULE_H
|
||||
#define EIGEN_GEOMETRY_MODULE_H
|
||||
|
||||
#include "Core"
|
||||
|
||||
#include "SVD"
|
||||
#include "LU"
|
||||
#include <limits>
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
/** \defgroup Geometry_Module Geometry module
|
||||
*
|
||||
* This module provides support for:
|
||||
* - fixed-size homogeneous transformations
|
||||
* - translation, scaling, 2D and 3D rotations
|
||||
* - \link Quaternion quaternions \endlink
|
||||
* - cross products (\ref MatrixBase::cross, \ref MatrixBase::cross3)
|
||||
* - orthognal vector generation (\ref MatrixBase::unitOrthogonal)
|
||||
* - some linear components: \link ParametrizedLine parametrized-lines \endlink and \link Hyperplane hyperplanes \endlink
|
||||
* - \link AlignedBox axis aligned bounding boxes \endlink
|
||||
* - \link umeyama least-square transformation fitting \endlink
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/Geometry>
|
||||
* \endcode
|
||||
*/
|
||||
|
||||
#include "src/Geometry/OrthoMethods.h"
|
||||
#include "src/Geometry/EulerAngles.h"
|
||||
|
||||
#include "src/Geometry/Homogeneous.h"
|
||||
#include "src/Geometry/RotationBase.h"
|
||||
#include "src/Geometry/Rotation2D.h"
|
||||
#include "src/Geometry/Quaternion.h"
|
||||
#include "src/Geometry/AngleAxis.h"
|
||||
#include "src/Geometry/Transform.h"
|
||||
#include "src/Geometry/Translation.h"
|
||||
#include "src/Geometry/Scaling.h"
|
||||
#include "src/Geometry/Hyperplane.h"
|
||||
#include "src/Geometry/ParametrizedLine.h"
|
||||
#include "src/Geometry/AlignedBox.h"
|
||||
#include "src/Geometry/Umeyama.h"
|
||||
|
||||
// Use the SSE optimized version whenever possible.
|
||||
#if (defined EIGEN_VECTORIZE_SSE) || (defined EIGEN_VECTORIZE_NEON)
|
||||
#include "src/Geometry/arch/Geometry_SIMD.h"
|
||||
#endif
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_GEOMETRY_MODULE_H
|
||||
|
|
@ -0,0 +1,29 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_HOUSEHOLDER_MODULE_H
|
||||
#define EIGEN_HOUSEHOLDER_MODULE_H
|
||||
|
||||
#include "Core"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
/** \defgroup Householder_Module Householder module
|
||||
* This module provides Householder transformations.
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/Householder>
|
||||
* \endcode
|
||||
*/
|
||||
|
||||
#include "src/Householder/Householder.h"
|
||||
#include "src/Householder/HouseholderSequence.h"
|
||||
#include "src/Householder/BlockHouseholder.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_HOUSEHOLDER_MODULE_H
|
||||
|
|
@ -0,0 +1,48 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_ITERATIVELINEARSOLVERS_MODULE_H
|
||||
#define EIGEN_ITERATIVELINEARSOLVERS_MODULE_H
|
||||
|
||||
#include "SparseCore"
|
||||
#include "OrderingMethods"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
/**
|
||||
* \defgroup IterativeLinearSolvers_Module IterativeLinearSolvers module
|
||||
*
|
||||
* This module currently provides iterative methods to solve problems of the form \c A \c x = \c b, where \c A is a squared matrix, usually very large and sparse.
|
||||
* Those solvers are accessible via the following classes:
|
||||
* - ConjugateGradient for selfadjoint (hermitian) matrices,
|
||||
* - LeastSquaresConjugateGradient for rectangular least-square problems,
|
||||
* - BiCGSTAB for general square matrices.
|
||||
*
|
||||
* These iterative solvers are associated with some preconditioners:
|
||||
* - IdentityPreconditioner - not really useful
|
||||
* - DiagonalPreconditioner - also called Jacobi preconditioner, work very well on diagonal dominant matrices.
|
||||
* - IncompleteLUT - incomplete LU factorization with dual thresholding
|
||||
*
|
||||
* Such problems can also be solved using the direct sparse decomposition modules: SparseCholesky, CholmodSupport, UmfPackSupport, SuperLUSupport.
|
||||
*
|
||||
\code
|
||||
#include <Eigen/IterativeLinearSolvers>
|
||||
\endcode
|
||||
*/
|
||||
|
||||
#include "src/IterativeLinearSolvers/SolveWithGuess.h"
|
||||
#include "src/IterativeLinearSolvers/IterativeSolverBase.h"
|
||||
#include "src/IterativeLinearSolvers/BasicPreconditioners.h"
|
||||
#include "src/IterativeLinearSolvers/ConjugateGradient.h"
|
||||
#include "src/IterativeLinearSolvers/LeastSquareConjugateGradient.h"
|
||||
#include "src/IterativeLinearSolvers/BiCGSTAB.h"
|
||||
#include "src/IterativeLinearSolvers/IncompleteLUT.h"
|
||||
#include "src/IterativeLinearSolvers/IncompleteCholesky.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_ITERATIVELINEARSOLVERS_MODULE_H
|
||||
|
|
@ -0,0 +1,32 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_JACOBI_MODULE_H
|
||||
#define EIGEN_JACOBI_MODULE_H
|
||||
|
||||
#include "Core"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
/** \defgroup Jacobi_Module Jacobi module
|
||||
* This module provides Jacobi and Givens rotations.
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/Jacobi>
|
||||
* \endcode
|
||||
*
|
||||
* In addition to listed classes, it defines the two following MatrixBase methods to apply a Jacobi or Givens rotation:
|
||||
* - MatrixBase::applyOnTheLeft()
|
||||
* - MatrixBase::applyOnTheRight().
|
||||
*/
|
||||
|
||||
#include "src/Jacobi/Jacobi.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_JACOBI_MODULE_H
|
||||
|
||||
|
|
@ -0,0 +1,41 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_KLUSUPPORT_MODULE_H
|
||||
#define EIGEN_KLUSUPPORT_MODULE_H
|
||||
|
||||
#include <Eigen/SparseCore>
|
||||
|
||||
#include <Eigen/src/Core/util/DisableStupidWarnings.h>
|
||||
|
||||
extern "C" {
|
||||
#include <btf.h>
|
||||
#include <klu.h>
|
||||
}
|
||||
|
||||
/** \ingroup Support_modules
|
||||
* \defgroup KLUSupport_Module KLUSupport module
|
||||
*
|
||||
* This module provides an interface to the KLU library which is part of the <a href="http://www.suitesparse.com">suitesparse</a> package.
|
||||
* It provides the following factorization class:
|
||||
* - class KLU: a sparse LU factorization, well-suited for circuit simulation.
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/KLUSupport>
|
||||
* \endcode
|
||||
*
|
||||
* In order to use this module, the klu and btf headers must be accessible from the include paths, and your binary must be linked to the klu library and its dependencies.
|
||||
* The dependencies depend on how umfpack has been compiled.
|
||||
* For a cmake based project, you can use our FindKLU.cmake module to help you in this task.
|
||||
*
|
||||
*/
|
||||
|
||||
#include "src/KLUSupport/KLUSupport.h"
|
||||
|
||||
#include <Eigen/src/Core/util/ReenableStupidWarnings.h>
|
||||
|
||||
#endif // EIGEN_KLUSUPPORT_MODULE_H
|
||||
|
|
@ -0,0 +1,47 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_LU_MODULE_H
|
||||
#define EIGEN_LU_MODULE_H
|
||||
|
||||
#include "Core"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
/** \defgroup LU_Module LU module
|
||||
* This module includes %LU decomposition and related notions such as matrix inversion and determinant.
|
||||
* This module defines the following MatrixBase methods:
|
||||
* - MatrixBase::inverse()
|
||||
* - MatrixBase::determinant()
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/LU>
|
||||
* \endcode
|
||||
*/
|
||||
|
||||
#include "src/misc/Kernel.h"
|
||||
#include "src/misc/Image.h"
|
||||
#include "src/LU/FullPivLU.h"
|
||||
#include "src/LU/PartialPivLU.h"
|
||||
#ifdef EIGEN_USE_LAPACKE
|
||||
#ifdef EIGEN_USE_MKL
|
||||
#include "mkl_lapacke.h"
|
||||
#else
|
||||
#include "src/misc/lapacke.h"
|
||||
#endif
|
||||
#include "src/LU/PartialPivLU_LAPACKE.h"
|
||||
#endif
|
||||
#include "src/LU/Determinant.h"
|
||||
#include "src/LU/InverseImpl.h"
|
||||
|
||||
#if defined EIGEN_VECTORIZE_SSE || defined EIGEN_VECTORIZE_NEON
|
||||
#include "src/LU/arch/InverseSize4.h"
|
||||
#endif
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_LU_MODULE_H
|
||||
|
|
@ -0,0 +1,35 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_METISSUPPORT_MODULE_H
|
||||
#define EIGEN_METISSUPPORT_MODULE_H
|
||||
|
||||
#include "SparseCore"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
extern "C" {
|
||||
#include <metis.h>
|
||||
}
|
||||
|
||||
|
||||
/** \ingroup Support_modules
|
||||
* \defgroup MetisSupport_Module MetisSupport module
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/MetisSupport>
|
||||
* \endcode
|
||||
* This module defines an interface to the METIS reordering package (http://glaros.dtc.umn.edu/gkhome/views/metis).
|
||||
* It can be used just as any other built-in method as explained in \link OrderingMethods_Module here. \endlink
|
||||
*/
|
||||
|
||||
|
||||
#include "src/MetisSupport/MetisSupport.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_METISSUPPORT_MODULE_H
|
||||
|
|
@ -0,0 +1,70 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_ORDERINGMETHODS_MODULE_H
|
||||
#define EIGEN_ORDERINGMETHODS_MODULE_H
|
||||
|
||||
#include "SparseCore"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
/**
|
||||
* \defgroup OrderingMethods_Module OrderingMethods module
|
||||
*
|
||||
* This module is currently for internal use only
|
||||
*
|
||||
* It defines various built-in and external ordering methods for sparse matrices.
|
||||
* They are typically used to reduce the number of elements during
|
||||
* the sparse matrix decomposition (LLT, LU, QR).
|
||||
* Precisely, in a preprocessing step, a permutation matrix P is computed using
|
||||
* those ordering methods and applied to the columns of the matrix.
|
||||
* Using for instance the sparse Cholesky decomposition, it is expected that
|
||||
* the nonzeros elements in LLT(A*P) will be much smaller than that in LLT(A).
|
||||
*
|
||||
*
|
||||
* Usage :
|
||||
* \code
|
||||
* #include <Eigen/OrderingMethods>
|
||||
* \endcode
|
||||
*
|
||||
* A simple usage is as a template parameter in the sparse decomposition classes :
|
||||
*
|
||||
* \code
|
||||
* SparseLU<MatrixType, COLAMDOrdering<int> > solver;
|
||||
* \endcode
|
||||
*
|
||||
* \code
|
||||
* SparseQR<MatrixType, COLAMDOrdering<int> > solver;
|
||||
* \endcode
|
||||
*
|
||||
* It is possible as well to call directly a particular ordering method for your own purpose,
|
||||
* \code
|
||||
* AMDOrdering<int> ordering;
|
||||
* PermutationMatrix<Dynamic, Dynamic, int> perm;
|
||||
* SparseMatrix<double> A;
|
||||
* //Fill the matrix ...
|
||||
*
|
||||
* ordering(A, perm); // Call AMD
|
||||
* \endcode
|
||||
*
|
||||
* \note Some of these methods (like AMD or METIS), need the sparsity pattern
|
||||
* of the input matrix to be symmetric. When the matrix is structurally unsymmetric,
|
||||
* Eigen computes internally the pattern of \f$A^T*A\f$ before calling the method.
|
||||
* If your matrix is already symmetric (at leat in structure), you can avoid that
|
||||
* by calling the method with a SelfAdjointView type.
|
||||
*
|
||||
* \code
|
||||
* // Call the ordering on the pattern of the lower triangular matrix A
|
||||
* ordering(A.selfadjointView<Lower>(), perm);
|
||||
* \endcode
|
||||
*/
|
||||
|
||||
#include "src/OrderingMethods/Amd.h"
|
||||
#include "src/OrderingMethods/Ordering.h"
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_ORDERINGMETHODS_MODULE_H
|
||||
|
|
@ -0,0 +1,49 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_PASTIXSUPPORT_MODULE_H
|
||||
#define EIGEN_PASTIXSUPPORT_MODULE_H
|
||||
|
||||
#include "SparseCore"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
extern "C" {
|
||||
#include <pastix_nompi.h>
|
||||
#include <pastix.h>
|
||||
}
|
||||
|
||||
#ifdef complex
|
||||
#undef complex
|
||||
#endif
|
||||
|
||||
/** \ingroup Support_modules
|
||||
* \defgroup PaStiXSupport_Module PaStiXSupport module
|
||||
*
|
||||
* This module provides an interface to the <a href="http://pastix.gforge.inria.fr/">PaSTiX</a> library.
|
||||
* PaSTiX is a general \b supernodal, \b parallel and \b opensource sparse solver.
|
||||
* It provides the two following main factorization classes:
|
||||
* - class PastixLLT : a supernodal, parallel LLt Cholesky factorization.
|
||||
* - class PastixLDLT: a supernodal, parallel LDLt Cholesky factorization.
|
||||
* - class PastixLU : a supernodal, parallel LU factorization (optimized for a symmetric pattern).
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/PaStiXSupport>
|
||||
* \endcode
|
||||
*
|
||||
* In order to use this module, the PaSTiX headers must be accessible from the include paths, and your binary must be linked to the PaSTiX library and its dependencies.
|
||||
* This wrapper resuires PaStiX version 5.x compiled without MPI support.
|
||||
* The dependencies depend on how PaSTiX has been compiled.
|
||||
* For a cmake based project, you can use our FindPaSTiX.cmake module to help you in this task.
|
||||
*
|
||||
*/
|
||||
|
||||
#include "src/PaStiXSupport/PaStiXSupport.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_PASTIXSUPPORT_MODULE_H
|
||||
|
|
@ -0,0 +1,35 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_PARDISOSUPPORT_MODULE_H
|
||||
#define EIGEN_PARDISOSUPPORT_MODULE_H
|
||||
|
||||
#include "SparseCore"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
#include <mkl_pardiso.h>
|
||||
|
||||
/** \ingroup Support_modules
|
||||
* \defgroup PardisoSupport_Module PardisoSupport module
|
||||
*
|
||||
* This module brings support for the Intel(R) MKL PARDISO direct sparse solvers.
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/PardisoSupport>
|
||||
* \endcode
|
||||
*
|
||||
* In order to use this module, the MKL headers must be accessible from the include paths, and your binary must be linked to the MKL library and its dependencies.
|
||||
* See this \ref TopicUsingIntelMKL "page" for more information on MKL-Eigen integration.
|
||||
*
|
||||
*/
|
||||
|
||||
#include "src/PardisoSupport/PardisoSupport.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_PARDISOSUPPORT_MODULE_H
|
||||
|
|
@ -0,0 +1,50 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_QR_MODULE_H
|
||||
#define EIGEN_QR_MODULE_H
|
||||
|
||||
#include "Core"
|
||||
|
||||
#include "Cholesky"
|
||||
#include "Jacobi"
|
||||
#include "Householder"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
/** \defgroup QR_Module QR module
|
||||
*
|
||||
*
|
||||
*
|
||||
* This module provides various QR decompositions
|
||||
* This module also provides some MatrixBase methods, including:
|
||||
* - MatrixBase::householderQr()
|
||||
* - MatrixBase::colPivHouseholderQr()
|
||||
* - MatrixBase::fullPivHouseholderQr()
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/QR>
|
||||
* \endcode
|
||||
*/
|
||||
|
||||
#include "src/QR/HouseholderQR.h"
|
||||
#include "src/QR/FullPivHouseholderQR.h"
|
||||
#include "src/QR/ColPivHouseholderQR.h"
|
||||
#include "src/QR/CompleteOrthogonalDecomposition.h"
|
||||
#ifdef EIGEN_USE_LAPACKE
|
||||
#ifdef EIGEN_USE_MKL
|
||||
#include "mkl_lapacke.h"
|
||||
#else
|
||||
#include "src/misc/lapacke.h"
|
||||
#endif
|
||||
#include "src/QR/HouseholderQR_LAPACKE.h"
|
||||
#include "src/QR/ColPivHouseholderQR_LAPACKE.h"
|
||||
#endif
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_QR_MODULE_H
|
||||
|
|
@ -0,0 +1,39 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_QTMALLOC_MODULE_H
|
||||
#define EIGEN_QTMALLOC_MODULE_H
|
||||
|
||||
#include "Core"
|
||||
|
||||
#if (!EIGEN_MALLOC_ALREADY_ALIGNED)
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
void *qMalloc(std::size_t size)
|
||||
{
|
||||
return Eigen::internal::aligned_malloc(size);
|
||||
}
|
||||
|
||||
void qFree(void *ptr)
|
||||
{
|
||||
Eigen::internal::aligned_free(ptr);
|
||||
}
|
||||
|
||||
void *qRealloc(void *ptr, std::size_t size)
|
||||
{
|
||||
void* newPtr = Eigen::internal::aligned_malloc(size);
|
||||
std::memcpy(newPtr, ptr, size);
|
||||
Eigen::internal::aligned_free(ptr);
|
||||
return newPtr;
|
||||
}
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif
|
||||
|
||||
#endif // EIGEN_QTMALLOC_MODULE_H
|
||||
|
|
@ -0,0 +1,34 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_SPQRSUPPORT_MODULE_H
|
||||
#define EIGEN_SPQRSUPPORT_MODULE_H
|
||||
|
||||
#include "SparseCore"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
#include "SuiteSparseQR.hpp"
|
||||
|
||||
/** \ingroup Support_modules
|
||||
* \defgroup SPQRSupport_Module SuiteSparseQR module
|
||||
*
|
||||
* This module provides an interface to the SPQR library, which is part of the <a href="http://www.suitesparse.com">suitesparse</a> package.
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/SPQRSupport>
|
||||
* \endcode
|
||||
*
|
||||
* In order to use this module, the SPQR headers must be accessible from the include paths, and your binary must be linked to the SPQR library and its dependencies (Cholmod, AMD, COLAMD,...).
|
||||
* For a cmake based project, you can use our FindSPQR.cmake and FindCholmod.Cmake modules
|
||||
*
|
||||
*/
|
||||
|
||||
#include "src/CholmodSupport/CholmodSupport.h"
|
||||
#include "src/SPQRSupport/SuiteSparseQRSupport.h"
|
||||
|
||||
#endif
|
||||
|
|
@ -0,0 +1,50 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_SVD_MODULE_H
|
||||
#define EIGEN_SVD_MODULE_H
|
||||
|
||||
#include "QR"
|
||||
#include "Householder"
|
||||
#include "Jacobi"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
/** \defgroup SVD_Module SVD module
|
||||
*
|
||||
*
|
||||
*
|
||||
* This module provides SVD decomposition for matrices (both real and complex).
|
||||
* Two decomposition algorithms are provided:
|
||||
* - JacobiSVD implementing two-sided Jacobi iterations is numerically very accurate, fast for small matrices, but very slow for larger ones.
|
||||
* - BDCSVD implementing a recursive divide & conquer strategy on top of an upper-bidiagonalization which remains fast for large problems.
|
||||
* These decompositions are accessible via the respective classes and following MatrixBase methods:
|
||||
* - MatrixBase::jacobiSvd()
|
||||
* - MatrixBase::bdcSvd()
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/SVD>
|
||||
* \endcode
|
||||
*/
|
||||
|
||||
#include "src/misc/RealSvd2x2.h"
|
||||
#include "src/SVD/UpperBidiagonalization.h"
|
||||
#include "src/SVD/SVDBase.h"
|
||||
#include "src/SVD/JacobiSVD.h"
|
||||
#include "src/SVD/BDCSVD.h"
|
||||
#if defined(EIGEN_USE_LAPACKE) && !defined(EIGEN_USE_LAPACKE_STRICT)
|
||||
#ifdef EIGEN_USE_MKL
|
||||
#include "mkl_lapacke.h"
|
||||
#else
|
||||
#include "src/misc/lapacke.h"
|
||||
#endif
|
||||
#include "src/SVD/JacobiSVD_LAPACKE.h"
|
||||
#endif
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_SVD_MODULE_H
|
||||
|
|
@ -0,0 +1,34 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_SPARSE_MODULE_H
|
||||
#define EIGEN_SPARSE_MODULE_H
|
||||
|
||||
/** \defgroup Sparse_Module Sparse meta-module
|
||||
*
|
||||
* Meta-module including all related modules:
|
||||
* - \ref SparseCore_Module
|
||||
* - \ref OrderingMethods_Module
|
||||
* - \ref SparseCholesky_Module
|
||||
* - \ref SparseLU_Module
|
||||
* - \ref SparseQR_Module
|
||||
* - \ref IterativeLinearSolvers_Module
|
||||
*
|
||||
\code
|
||||
#include <Eigen/Sparse>
|
||||
\endcode
|
||||
*/
|
||||
|
||||
#include "SparseCore"
|
||||
#include "OrderingMethods"
|
||||
#include "SparseCholesky"
|
||||
#include "SparseLU"
|
||||
#include "SparseQR"
|
||||
#include "IterativeLinearSolvers"
|
||||
|
||||
#endif // EIGEN_SPARSE_MODULE_H
|
||||
|
||||
|
|
@ -0,0 +1,37 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008-2013 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_SPARSECHOLESKY_MODULE_H
|
||||
#define EIGEN_SPARSECHOLESKY_MODULE_H
|
||||
|
||||
#include "SparseCore"
|
||||
#include "OrderingMethods"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
/**
|
||||
* \defgroup SparseCholesky_Module SparseCholesky module
|
||||
*
|
||||
* This module currently provides two variants of the direct sparse Cholesky decomposition for selfadjoint (hermitian) matrices.
|
||||
* Those decompositions are accessible via the following classes:
|
||||
* - SimplicialLLt,
|
||||
* - SimplicialLDLt
|
||||
*
|
||||
* Such problems can also be solved using the ConjugateGradient solver from the IterativeLinearSolvers module.
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/SparseCholesky>
|
||||
* \endcode
|
||||
*/
|
||||
|
||||
#include "src/SparseCholesky/SimplicialCholesky.h"
|
||||
#include "src/SparseCholesky/SimplicialCholesky_impl.h"
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_SPARSECHOLESKY_MODULE_H
|
||||
|
|
@ -0,0 +1,69 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_SPARSECORE_MODULE_H
|
||||
#define EIGEN_SPARSECORE_MODULE_H
|
||||
|
||||
#include "Core"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
#include <vector>
|
||||
#include <map>
|
||||
#include <cstdlib>
|
||||
#include <cstring>
|
||||
#include <algorithm>
|
||||
|
||||
/**
|
||||
* \defgroup SparseCore_Module SparseCore module
|
||||
*
|
||||
* This module provides a sparse matrix representation, and basic associated matrix manipulations
|
||||
* and operations.
|
||||
*
|
||||
* See the \ref TutorialSparse "Sparse tutorial"
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/SparseCore>
|
||||
* \endcode
|
||||
*
|
||||
* This module depends on: Core.
|
||||
*/
|
||||
|
||||
#include "src/SparseCore/SparseUtil.h"
|
||||
#include "src/SparseCore/SparseMatrixBase.h"
|
||||
#include "src/SparseCore/SparseAssign.h"
|
||||
#include "src/SparseCore/CompressedStorage.h"
|
||||
#include "src/SparseCore/AmbiVector.h"
|
||||
#include "src/SparseCore/SparseCompressedBase.h"
|
||||
#include "src/SparseCore/SparseMatrix.h"
|
||||
#include "src/SparseCore/SparseMap.h"
|
||||
#include "src/SparseCore/MappedSparseMatrix.h"
|
||||
#include "src/SparseCore/SparseVector.h"
|
||||
#include "src/SparseCore/SparseRef.h"
|
||||
#include "src/SparseCore/SparseCwiseUnaryOp.h"
|
||||
#include "src/SparseCore/SparseCwiseBinaryOp.h"
|
||||
#include "src/SparseCore/SparseTranspose.h"
|
||||
#include "src/SparseCore/SparseBlock.h"
|
||||
#include "src/SparseCore/SparseDot.h"
|
||||
#include "src/SparseCore/SparseRedux.h"
|
||||
#include "src/SparseCore/SparseView.h"
|
||||
#include "src/SparseCore/SparseDiagonalProduct.h"
|
||||
#include "src/SparseCore/ConservativeSparseSparseProduct.h"
|
||||
#include "src/SparseCore/SparseSparseProductWithPruning.h"
|
||||
#include "src/SparseCore/SparseProduct.h"
|
||||
#include "src/SparseCore/SparseDenseProduct.h"
|
||||
#include "src/SparseCore/SparseSelfAdjointView.h"
|
||||
#include "src/SparseCore/SparseTriangularView.h"
|
||||
#include "src/SparseCore/TriangularSolver.h"
|
||||
#include "src/SparseCore/SparsePermutation.h"
|
||||
#include "src/SparseCore/SparseFuzzy.h"
|
||||
#include "src/SparseCore/SparseSolverBase.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_SPARSECORE_MODULE_H
|
||||
|
||||
|
|
@ -0,0 +1,50 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr>
|
||||
// Copyright (C) 2012 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_SPARSELU_MODULE_H
|
||||
#define EIGEN_SPARSELU_MODULE_H
|
||||
|
||||
#include "SparseCore"
|
||||
|
||||
/**
|
||||
* \defgroup SparseLU_Module SparseLU module
|
||||
* This module defines a supernodal factorization of general sparse matrices.
|
||||
* The code is fully optimized for supernode-panel updates with specialized kernels.
|
||||
* Please, see the documentation of the SparseLU class for more details.
|
||||
*/
|
||||
|
||||
// Ordering interface
|
||||
#include "OrderingMethods"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
#include "src/SparseLU/SparseLU_gemm_kernel.h"
|
||||
|
||||
#include "src/SparseLU/SparseLU_Structs.h"
|
||||
#include "src/SparseLU/SparseLU_SupernodalMatrix.h"
|
||||
#include "src/SparseLU/SparseLUImpl.h"
|
||||
#include "src/SparseCore/SparseColEtree.h"
|
||||
#include "src/SparseLU/SparseLU_Memory.h"
|
||||
#include "src/SparseLU/SparseLU_heap_relax_snode.h"
|
||||
#include "src/SparseLU/SparseLU_relax_snode.h"
|
||||
#include "src/SparseLU/SparseLU_pivotL.h"
|
||||
#include "src/SparseLU/SparseLU_panel_dfs.h"
|
||||
#include "src/SparseLU/SparseLU_kernel_bmod.h"
|
||||
#include "src/SparseLU/SparseLU_panel_bmod.h"
|
||||
#include "src/SparseLU/SparseLU_column_dfs.h"
|
||||
#include "src/SparseLU/SparseLU_column_bmod.h"
|
||||
#include "src/SparseLU/SparseLU_copy_to_ucol.h"
|
||||
#include "src/SparseLU/SparseLU_pruneL.h"
|
||||
#include "src/SparseLU/SparseLU_Utils.h"
|
||||
#include "src/SparseLU/SparseLU.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_SPARSELU_MODULE_H
|
||||
|
|
@ -0,0 +1,36 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_SPARSEQR_MODULE_H
|
||||
#define EIGEN_SPARSEQR_MODULE_H
|
||||
|
||||
#include "SparseCore"
|
||||
#include "OrderingMethods"
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
/** \defgroup SparseQR_Module SparseQR module
|
||||
* \brief Provides QR decomposition for sparse matrices
|
||||
*
|
||||
* This module provides a simplicial version of the left-looking Sparse QR decomposition.
|
||||
* The columns of the input matrix should be reordered to limit the fill-in during the
|
||||
* decomposition. Built-in methods (COLAMD, AMD) or external methods (METIS) can be used to this end.
|
||||
* See the \link OrderingMethods_Module OrderingMethods\endlink module for the list
|
||||
* of built-in and external ordering methods.
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/SparseQR>
|
||||
* \endcode
|
||||
*
|
||||
*
|
||||
*/
|
||||
|
||||
#include "src/SparseCore/SparseColEtree.h"
|
||||
#include "src/SparseQR/SparseQR.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif
|
||||
|
|
@ -0,0 +1,27 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2009 Hauke Heibel <hauke.heibel@googlemail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_STDDEQUE_MODULE_H
|
||||
#define EIGEN_STDDEQUE_MODULE_H
|
||||
|
||||
#include "Core"
|
||||
#include <deque>
|
||||
|
||||
#if EIGEN_COMP_MSVC && EIGEN_OS_WIN64 && (EIGEN_MAX_STATIC_ALIGN_BYTES<=16) /* MSVC auto aligns up to 16 bytes in 64 bit builds */
|
||||
|
||||
#define EIGEN_DEFINE_STL_DEQUE_SPECIALIZATION(...)
|
||||
|
||||
#else
|
||||
|
||||
#include "src/StlSupport/StdDeque.h"
|
||||
|
||||
#endif
|
||||
|
||||
#endif // EIGEN_STDDEQUE_MODULE_H
|
||||
|
|
@ -0,0 +1,26 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2009 Hauke Heibel <hauke.heibel@googlemail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_STDLIST_MODULE_H
|
||||
#define EIGEN_STDLIST_MODULE_H
|
||||
|
||||
#include "Core"
|
||||
#include <list>
|
||||
|
||||
#if EIGEN_COMP_MSVC && EIGEN_OS_WIN64 && (EIGEN_MAX_STATIC_ALIGN_BYTES<=16) /* MSVC auto aligns up to 16 bytes in 64 bit builds */
|
||||
|
||||
#define EIGEN_DEFINE_STL_LIST_SPECIALIZATION(...)
|
||||
|
||||
#else
|
||||
|
||||
#include "src/StlSupport/StdList.h"
|
||||
|
||||
#endif
|
||||
|
||||
#endif // EIGEN_STDLIST_MODULE_H
|
||||
|
|
@ -0,0 +1,27 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2009 Hauke Heibel <hauke.heibel@googlemail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_STDVECTOR_MODULE_H
|
||||
#define EIGEN_STDVECTOR_MODULE_H
|
||||
|
||||
#include "Core"
|
||||
#include <vector>
|
||||
|
||||
#if EIGEN_COMP_MSVC && EIGEN_OS_WIN64 && (EIGEN_MAX_STATIC_ALIGN_BYTES<=16) /* MSVC auto aligns up to 16 bytes in 64 bit builds */
|
||||
|
||||
#define EIGEN_DEFINE_STL_VECTOR_SPECIALIZATION(...)
|
||||
|
||||
#else
|
||||
|
||||
#include "src/StlSupport/StdVector.h"
|
||||
|
||||
#endif
|
||||
|
||||
#endif // EIGEN_STDVECTOR_MODULE_H
|
||||
|
|
@ -0,0 +1,64 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_SUPERLUSUPPORT_MODULE_H
|
||||
#define EIGEN_SUPERLUSUPPORT_MODULE_H
|
||||
|
||||
#include "SparseCore"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
#ifdef EMPTY
|
||||
#define EIGEN_EMPTY_WAS_ALREADY_DEFINED
|
||||
#endif
|
||||
|
||||
typedef int int_t;
|
||||
#include <slu_Cnames.h>
|
||||
#include <supermatrix.h>
|
||||
#include <slu_util.h>
|
||||
|
||||
// slu_util.h defines a preprocessor token named EMPTY which is really polluting,
|
||||
// so we remove it in favor of a SUPERLU_EMPTY token.
|
||||
// If EMPTY was already defined then we don't undef it.
|
||||
|
||||
#if defined(EIGEN_EMPTY_WAS_ALREADY_DEFINED)
|
||||
# undef EIGEN_EMPTY_WAS_ALREADY_DEFINED
|
||||
#elif defined(EMPTY)
|
||||
# undef EMPTY
|
||||
#endif
|
||||
|
||||
#define SUPERLU_EMPTY (-1)
|
||||
|
||||
namespace Eigen { struct SluMatrix; }
|
||||
|
||||
/** \ingroup Support_modules
|
||||
* \defgroup SuperLUSupport_Module SuperLUSupport module
|
||||
*
|
||||
* This module provides an interface to the <a href="http://crd-legacy.lbl.gov/~xiaoye/SuperLU/">SuperLU</a> library.
|
||||
* It provides the following factorization class:
|
||||
* - class SuperLU: a supernodal sequential LU factorization.
|
||||
* - class SuperILU: a supernodal sequential incomplete LU factorization (to be used as a preconditioner for iterative methods).
|
||||
*
|
||||
* \warning This wrapper requires at least versions 4.0 of SuperLU. The 3.x versions are not supported.
|
||||
*
|
||||
* \warning When including this module, you have to use SUPERLU_EMPTY instead of EMPTY which is no longer defined because it is too polluting.
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/SuperLUSupport>
|
||||
* \endcode
|
||||
*
|
||||
* In order to use this module, the superlu headers must be accessible from the include paths, and your binary must be linked to the superlu library and its dependencies.
|
||||
* The dependencies depend on how superlu has been compiled.
|
||||
* For a cmake based project, you can use our FindSuperLU.cmake module to help you in this task.
|
||||
*
|
||||
*/
|
||||
|
||||
#include "src/SuperLUSupport/SuperLUSupport.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_SUPERLUSUPPORT_MODULE_H
|
||||
|
|
@ -0,0 +1,40 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_UMFPACKSUPPORT_MODULE_H
|
||||
#define EIGEN_UMFPACKSUPPORT_MODULE_H
|
||||
|
||||
#include "SparseCore"
|
||||
|
||||
#include "src/Core/util/DisableStupidWarnings.h"
|
||||
|
||||
extern "C" {
|
||||
#include <umfpack.h>
|
||||
}
|
||||
|
||||
/** \ingroup Support_modules
|
||||
* \defgroup UmfPackSupport_Module UmfPackSupport module
|
||||
*
|
||||
* This module provides an interface to the UmfPack library which is part of the <a href="http://www.suitesparse.com">suitesparse</a> package.
|
||||
* It provides the following factorization class:
|
||||
* - class UmfPackLU: a multifrontal sequential LU factorization.
|
||||
*
|
||||
* \code
|
||||
* #include <Eigen/UmfPackSupport>
|
||||
* \endcode
|
||||
*
|
||||
* In order to use this module, the umfpack headers must be accessible from the include paths, and your binary must be linked to the umfpack library and its dependencies.
|
||||
* The dependencies depend on how umfpack has been compiled.
|
||||
* For a cmake based project, you can use our FindUmfPack.cmake module to help you in this task.
|
||||
*
|
||||
*/
|
||||
|
||||
#include "src/UmfPackSupport/UmfPackSupport.h"
|
||||
|
||||
#include "src/Core/util/ReenableStupidWarnings.h"
|
||||
|
||||
#endif // EIGEN_UMFPACKSUPPORT_MODULE_H
|
||||
|
|
@ -0,0 +1,688 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008-2011 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2009 Keir Mierle <mierle@gmail.com>
|
||||
// Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
// Copyright (C) 2011 Timothy E. Holy <tim.holy@gmail.com >
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_LDLT_H
|
||||
#define EIGEN_LDLT_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
template<typename _MatrixType, int _UpLo> struct traits<LDLT<_MatrixType, _UpLo> >
|
||||
: traits<_MatrixType>
|
||||
{
|
||||
typedef MatrixXpr XprKind;
|
||||
typedef SolverStorage StorageKind;
|
||||
typedef int StorageIndex;
|
||||
enum { Flags = 0 };
|
||||
};
|
||||
|
||||
template<typename MatrixType, int UpLo> struct LDLT_Traits;
|
||||
|
||||
// PositiveSemiDef means positive semi-definite and non-zero; same for NegativeSemiDef
|
||||
enum SignMatrix { PositiveSemiDef, NegativeSemiDef, ZeroSign, Indefinite };
|
||||
}
|
||||
|
||||
/** \ingroup Cholesky_Module
|
||||
*
|
||||
* \class LDLT
|
||||
*
|
||||
* \brief Robust Cholesky decomposition of a matrix with pivoting
|
||||
*
|
||||
* \tparam _MatrixType the type of the matrix of which to compute the LDL^T Cholesky decomposition
|
||||
* \tparam _UpLo the triangular part that will be used for the decompositon: Lower (default) or Upper.
|
||||
* The other triangular part won't be read.
|
||||
*
|
||||
* Perform a robust Cholesky decomposition of a positive semidefinite or negative semidefinite
|
||||
* matrix \f$ A \f$ such that \f$ A = P^TLDL^*P \f$, where P is a permutation matrix, L
|
||||
* is lower triangular with a unit diagonal and D is a diagonal matrix.
|
||||
*
|
||||
* The decomposition uses pivoting to ensure stability, so that D will have
|
||||
* zeros in the bottom right rank(A) - n submatrix. Avoiding the square root
|
||||
* on D also stabilizes the computation.
|
||||
*
|
||||
* Remember that Cholesky decompositions are not rank-revealing. Also, do not use a Cholesky
|
||||
* decomposition to determine whether a system of equations has a solution.
|
||||
*
|
||||
* This class supports the \link InplaceDecomposition inplace decomposition \endlink mechanism.
|
||||
*
|
||||
* \sa MatrixBase::ldlt(), SelfAdjointView::ldlt(), class LLT
|
||||
*/
|
||||
template<typename _MatrixType, int _UpLo> class LDLT
|
||||
: public SolverBase<LDLT<_MatrixType, _UpLo> >
|
||||
{
|
||||
public:
|
||||
typedef _MatrixType MatrixType;
|
||||
typedef SolverBase<LDLT> Base;
|
||||
friend class SolverBase<LDLT>;
|
||||
|
||||
EIGEN_GENERIC_PUBLIC_INTERFACE(LDLT)
|
||||
enum {
|
||||
MaxRowsAtCompileTime = MatrixType::MaxRowsAtCompileTime,
|
||||
MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime,
|
||||
UpLo = _UpLo
|
||||
};
|
||||
typedef Matrix<Scalar, RowsAtCompileTime, 1, 0, MaxRowsAtCompileTime, 1> TmpMatrixType;
|
||||
|
||||
typedef Transpositions<RowsAtCompileTime, MaxRowsAtCompileTime> TranspositionType;
|
||||
typedef PermutationMatrix<RowsAtCompileTime, MaxRowsAtCompileTime> PermutationType;
|
||||
|
||||
typedef internal::LDLT_Traits<MatrixType,UpLo> Traits;
|
||||
|
||||
/** \brief Default Constructor.
|
||||
*
|
||||
* The default constructor is useful in cases in which the user intends to
|
||||
* perform decompositions via LDLT::compute(const MatrixType&).
|
||||
*/
|
||||
LDLT()
|
||||
: m_matrix(),
|
||||
m_transpositions(),
|
||||
m_sign(internal::ZeroSign),
|
||||
m_isInitialized(false)
|
||||
{}
|
||||
|
||||
/** \brief Default Constructor with memory preallocation
|
||||
*
|
||||
* Like the default constructor but with preallocation of the internal data
|
||||
* according to the specified problem \a size.
|
||||
* \sa LDLT()
|
||||
*/
|
||||
explicit LDLT(Index size)
|
||||
: m_matrix(size, size),
|
||||
m_transpositions(size),
|
||||
m_temporary(size),
|
||||
m_sign(internal::ZeroSign),
|
||||
m_isInitialized(false)
|
||||
{}
|
||||
|
||||
/** \brief Constructor with decomposition
|
||||
*
|
||||
* This calculates the decomposition for the input \a matrix.
|
||||
*
|
||||
* \sa LDLT(Index size)
|
||||
*/
|
||||
template<typename InputType>
|
||||
explicit LDLT(const EigenBase<InputType>& matrix)
|
||||
: m_matrix(matrix.rows(), matrix.cols()),
|
||||
m_transpositions(matrix.rows()),
|
||||
m_temporary(matrix.rows()),
|
||||
m_sign(internal::ZeroSign),
|
||||
m_isInitialized(false)
|
||||
{
|
||||
compute(matrix.derived());
|
||||
}
|
||||
|
||||
/** \brief Constructs a LDLT factorization from a given matrix
|
||||
*
|
||||
* This overloaded constructor is provided for \link InplaceDecomposition inplace decomposition \endlink when \c MatrixType is a Eigen::Ref.
|
||||
*
|
||||
* \sa LDLT(const EigenBase&)
|
||||
*/
|
||||
template<typename InputType>
|
||||
explicit LDLT(EigenBase<InputType>& matrix)
|
||||
: m_matrix(matrix.derived()),
|
||||
m_transpositions(matrix.rows()),
|
||||
m_temporary(matrix.rows()),
|
||||
m_sign(internal::ZeroSign),
|
||||
m_isInitialized(false)
|
||||
{
|
||||
compute(matrix.derived());
|
||||
}
|
||||
|
||||
/** Clear any existing decomposition
|
||||
* \sa rankUpdate(w,sigma)
|
||||
*/
|
||||
void setZero()
|
||||
{
|
||||
m_isInitialized = false;
|
||||
}
|
||||
|
||||
/** \returns a view of the upper triangular matrix U */
|
||||
inline typename Traits::MatrixU matrixU() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LDLT is not initialized.");
|
||||
return Traits::getU(m_matrix);
|
||||
}
|
||||
|
||||
/** \returns a view of the lower triangular matrix L */
|
||||
inline typename Traits::MatrixL matrixL() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LDLT is not initialized.");
|
||||
return Traits::getL(m_matrix);
|
||||
}
|
||||
|
||||
/** \returns the permutation matrix P as a transposition sequence.
|
||||
*/
|
||||
inline const TranspositionType& transpositionsP() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LDLT is not initialized.");
|
||||
return m_transpositions;
|
||||
}
|
||||
|
||||
/** \returns the coefficients of the diagonal matrix D */
|
||||
inline Diagonal<const MatrixType> vectorD() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LDLT is not initialized.");
|
||||
return m_matrix.diagonal();
|
||||
}
|
||||
|
||||
/** \returns true if the matrix is positive (semidefinite) */
|
||||
inline bool isPositive() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LDLT is not initialized.");
|
||||
return m_sign == internal::PositiveSemiDef || m_sign == internal::ZeroSign;
|
||||
}
|
||||
|
||||
/** \returns true if the matrix is negative (semidefinite) */
|
||||
inline bool isNegative(void) const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LDLT is not initialized.");
|
||||
return m_sign == internal::NegativeSemiDef || m_sign == internal::ZeroSign;
|
||||
}
|
||||
|
||||
#ifdef EIGEN_PARSED_BY_DOXYGEN
|
||||
/** \returns a solution x of \f$ A x = b \f$ using the current decomposition of A.
|
||||
*
|
||||
* This function also supports in-place solves using the syntax <tt>x = decompositionObject.solve(x)</tt> .
|
||||
*
|
||||
* \note_about_checking_solutions
|
||||
*
|
||||
* More precisely, this method solves \f$ A x = b \f$ using the decomposition \f$ A = P^T L D L^* P \f$
|
||||
* by solving the systems \f$ P^T y_1 = b \f$, \f$ L y_2 = y_1 \f$, \f$ D y_3 = y_2 \f$,
|
||||
* \f$ L^* y_4 = y_3 \f$ and \f$ P x = y_4 \f$ in succession. If the matrix \f$ A \f$ is singular, then
|
||||
* \f$ D \f$ will also be singular (all the other matrices are invertible). In that case, the
|
||||
* least-square solution of \f$ D y_3 = y_2 \f$ is computed. This does not mean that this function
|
||||
* computes the least-square solution of \f$ A x = b \f$ if \f$ A \f$ is singular.
|
||||
*
|
||||
* \sa MatrixBase::ldlt(), SelfAdjointView::ldlt()
|
||||
*/
|
||||
template<typename Rhs>
|
||||
inline const Solve<LDLT, Rhs>
|
||||
solve(const MatrixBase<Rhs>& b) const;
|
||||
#endif
|
||||
|
||||
template<typename Derived>
|
||||
bool solveInPlace(MatrixBase<Derived> &bAndX) const;
|
||||
|
||||
template<typename InputType>
|
||||
LDLT& compute(const EigenBase<InputType>& matrix);
|
||||
|
||||
/** \returns an estimate of the reciprocal condition number of the matrix of
|
||||
* which \c *this is the LDLT decomposition.
|
||||
*/
|
||||
RealScalar rcond() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LDLT is not initialized.");
|
||||
return internal::rcond_estimate_helper(m_l1_norm, *this);
|
||||
}
|
||||
|
||||
template <typename Derived>
|
||||
LDLT& rankUpdate(const MatrixBase<Derived>& w, const RealScalar& alpha=1);
|
||||
|
||||
/** \returns the internal LDLT decomposition matrix
|
||||
*
|
||||
* TODO: document the storage layout
|
||||
*/
|
||||
inline const MatrixType& matrixLDLT() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LDLT is not initialized.");
|
||||
return m_matrix;
|
||||
}
|
||||
|
||||
MatrixType reconstructedMatrix() const;
|
||||
|
||||
/** \returns the adjoint of \c *this, that is, a const reference to the decomposition itself as the underlying matrix is self-adjoint.
|
||||
*
|
||||
* This method is provided for compatibility with other matrix decompositions, thus enabling generic code such as:
|
||||
* \code x = decomposition.adjoint().solve(b) \endcode
|
||||
*/
|
||||
const LDLT& adjoint() const { return *this; };
|
||||
|
||||
EIGEN_DEVICE_FUNC inline EIGEN_CONSTEXPR Index rows() const EIGEN_NOEXCEPT { return m_matrix.rows(); }
|
||||
EIGEN_DEVICE_FUNC inline EIGEN_CONSTEXPR Index cols() const EIGEN_NOEXCEPT { return m_matrix.cols(); }
|
||||
|
||||
/** \brief Reports whether previous computation was successful.
|
||||
*
|
||||
* \returns \c Success if computation was successful,
|
||||
* \c NumericalIssue if the factorization failed because of a zero pivot.
|
||||
*/
|
||||
ComputationInfo info() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LDLT is not initialized.");
|
||||
return m_info;
|
||||
}
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
template<typename RhsType, typename DstType>
|
||||
void _solve_impl(const RhsType &rhs, DstType &dst) const;
|
||||
|
||||
template<bool Conjugate, typename RhsType, typename DstType>
|
||||
void _solve_impl_transposed(const RhsType &rhs, DstType &dst) const;
|
||||
#endif
|
||||
|
||||
protected:
|
||||
|
||||
static void check_template_parameters()
|
||||
{
|
||||
EIGEN_STATIC_ASSERT_NON_INTEGER(Scalar);
|
||||
}
|
||||
|
||||
/** \internal
|
||||
* Used to compute and store the Cholesky decomposition A = L D L^* = U^* D U.
|
||||
* The strict upper part is used during the decomposition, the strict lower
|
||||
* part correspond to the coefficients of L (its diagonal is equal to 1 and
|
||||
* is not stored), and the diagonal entries correspond to D.
|
||||
*/
|
||||
MatrixType m_matrix;
|
||||
RealScalar m_l1_norm;
|
||||
TranspositionType m_transpositions;
|
||||
TmpMatrixType m_temporary;
|
||||
internal::SignMatrix m_sign;
|
||||
bool m_isInitialized;
|
||||
ComputationInfo m_info;
|
||||
};
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<int UpLo> struct ldlt_inplace;
|
||||
|
||||
template<> struct ldlt_inplace<Lower>
|
||||
{
|
||||
template<typename MatrixType, typename TranspositionType, typename Workspace>
|
||||
static bool unblocked(MatrixType& mat, TranspositionType& transpositions, Workspace& temp, SignMatrix& sign)
|
||||
{
|
||||
using std::abs;
|
||||
typedef typename MatrixType::Scalar Scalar;
|
||||
typedef typename MatrixType::RealScalar RealScalar;
|
||||
typedef typename TranspositionType::StorageIndex IndexType;
|
||||
eigen_assert(mat.rows()==mat.cols());
|
||||
const Index size = mat.rows();
|
||||
bool found_zero_pivot = false;
|
||||
bool ret = true;
|
||||
|
||||
if (size <= 1)
|
||||
{
|
||||
transpositions.setIdentity();
|
||||
if(size==0) sign = ZeroSign;
|
||||
else if (numext::real(mat.coeff(0,0)) > static_cast<RealScalar>(0) ) sign = PositiveSemiDef;
|
||||
else if (numext::real(mat.coeff(0,0)) < static_cast<RealScalar>(0)) sign = NegativeSemiDef;
|
||||
else sign = ZeroSign;
|
||||
return true;
|
||||
}
|
||||
|
||||
for (Index k = 0; k < size; ++k)
|
||||
{
|
||||
// Find largest diagonal element
|
||||
Index index_of_biggest_in_corner;
|
||||
mat.diagonal().tail(size-k).cwiseAbs().maxCoeff(&index_of_biggest_in_corner);
|
||||
index_of_biggest_in_corner += k;
|
||||
|
||||
transpositions.coeffRef(k) = IndexType(index_of_biggest_in_corner);
|
||||
if(k != index_of_biggest_in_corner)
|
||||
{
|
||||
// apply the transposition while taking care to consider only
|
||||
// the lower triangular part
|
||||
Index s = size-index_of_biggest_in_corner-1; // trailing size after the biggest element
|
||||
mat.row(k).head(k).swap(mat.row(index_of_biggest_in_corner).head(k));
|
||||
mat.col(k).tail(s).swap(mat.col(index_of_biggest_in_corner).tail(s));
|
||||
std::swap(mat.coeffRef(k,k),mat.coeffRef(index_of_biggest_in_corner,index_of_biggest_in_corner));
|
||||
for(Index i=k+1;i<index_of_biggest_in_corner;++i)
|
||||
{
|
||||
Scalar tmp = mat.coeffRef(i,k);
|
||||
mat.coeffRef(i,k) = numext::conj(mat.coeffRef(index_of_biggest_in_corner,i));
|
||||
mat.coeffRef(index_of_biggest_in_corner,i) = numext::conj(tmp);
|
||||
}
|
||||
if(NumTraits<Scalar>::IsComplex)
|
||||
mat.coeffRef(index_of_biggest_in_corner,k) = numext::conj(mat.coeff(index_of_biggest_in_corner,k));
|
||||
}
|
||||
|
||||
// partition the matrix:
|
||||
// A00 | - | -
|
||||
// lu = A10 | A11 | -
|
||||
// A20 | A21 | A22
|
||||
Index rs = size - k - 1;
|
||||
Block<MatrixType,Dynamic,1> A21(mat,k+1,k,rs,1);
|
||||
Block<MatrixType,1,Dynamic> A10(mat,k,0,1,k);
|
||||
Block<MatrixType,Dynamic,Dynamic> A20(mat,k+1,0,rs,k);
|
||||
|
||||
if(k>0)
|
||||
{
|
||||
temp.head(k) = mat.diagonal().real().head(k).asDiagonal() * A10.adjoint();
|
||||
mat.coeffRef(k,k) -= (A10 * temp.head(k)).value();
|
||||
if(rs>0)
|
||||
A21.noalias() -= A20 * temp.head(k);
|
||||
}
|
||||
|
||||
// In some previous versions of Eigen (e.g., 3.2.1), the scaling was omitted if the pivot
|
||||
// was smaller than the cutoff value. However, since LDLT is not rank-revealing
|
||||
// we should only make sure that we do not introduce INF or NaN values.
|
||||
// Remark that LAPACK also uses 0 as the cutoff value.
|
||||
RealScalar realAkk = numext::real(mat.coeffRef(k,k));
|
||||
bool pivot_is_valid = (abs(realAkk) > RealScalar(0));
|
||||
|
||||
if(k==0 && !pivot_is_valid)
|
||||
{
|
||||
// The entire diagonal is zero, there is nothing more to do
|
||||
// except filling the transpositions, and checking whether the matrix is zero.
|
||||
sign = ZeroSign;
|
||||
for(Index j = 0; j<size; ++j)
|
||||
{
|
||||
transpositions.coeffRef(j) = IndexType(j);
|
||||
ret = ret && (mat.col(j).tail(size-j-1).array()==Scalar(0)).all();
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
if((rs>0) && pivot_is_valid)
|
||||
A21 /= realAkk;
|
||||
else if(rs>0)
|
||||
ret = ret && (A21.array()==Scalar(0)).all();
|
||||
|
||||
if(found_zero_pivot && pivot_is_valid) ret = false; // factorization failed
|
||||
else if(!pivot_is_valid) found_zero_pivot = true;
|
||||
|
||||
if (sign == PositiveSemiDef) {
|
||||
if (realAkk < static_cast<RealScalar>(0)) sign = Indefinite;
|
||||
} else if (sign == NegativeSemiDef) {
|
||||
if (realAkk > static_cast<RealScalar>(0)) sign = Indefinite;
|
||||
} else if (sign == ZeroSign) {
|
||||
if (realAkk > static_cast<RealScalar>(0)) sign = PositiveSemiDef;
|
||||
else if (realAkk < static_cast<RealScalar>(0)) sign = NegativeSemiDef;
|
||||
}
|
||||
}
|
||||
|
||||
return ret;
|
||||
}
|
||||
|
||||
// Reference for the algorithm: Davis and Hager, "Multiple Rank
|
||||
// Modifications of a Sparse Cholesky Factorization" (Algorithm 1)
|
||||
// Trivial rearrangements of their computations (Timothy E. Holy)
|
||||
// allow their algorithm to work for rank-1 updates even if the
|
||||
// original matrix is not of full rank.
|
||||
// Here only rank-1 updates are implemented, to reduce the
|
||||
// requirement for intermediate storage and improve accuracy
|
||||
template<typename MatrixType, typename WDerived>
|
||||
static bool updateInPlace(MatrixType& mat, MatrixBase<WDerived>& w, const typename MatrixType::RealScalar& sigma=1)
|
||||
{
|
||||
using numext::isfinite;
|
||||
typedef typename MatrixType::Scalar Scalar;
|
||||
typedef typename MatrixType::RealScalar RealScalar;
|
||||
|
||||
const Index size = mat.rows();
|
||||
eigen_assert(mat.cols() == size && w.size()==size);
|
||||
|
||||
RealScalar alpha = 1;
|
||||
|
||||
// Apply the update
|
||||
for (Index j = 0; j < size; j++)
|
||||
{
|
||||
// Check for termination due to an original decomposition of low-rank
|
||||
if (!(isfinite)(alpha))
|
||||
break;
|
||||
|
||||
// Update the diagonal terms
|
||||
RealScalar dj = numext::real(mat.coeff(j,j));
|
||||
Scalar wj = w.coeff(j);
|
||||
RealScalar swj2 = sigma*numext::abs2(wj);
|
||||
RealScalar gamma = dj*alpha + swj2;
|
||||
|
||||
mat.coeffRef(j,j) += swj2/alpha;
|
||||
alpha += swj2/dj;
|
||||
|
||||
|
||||
// Update the terms of L
|
||||
Index rs = size-j-1;
|
||||
w.tail(rs) -= wj * mat.col(j).tail(rs);
|
||||
if(gamma != 0)
|
||||
mat.col(j).tail(rs) += (sigma*numext::conj(wj)/gamma)*w.tail(rs);
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
template<typename MatrixType, typename TranspositionType, typename Workspace, typename WType>
|
||||
static bool update(MatrixType& mat, const TranspositionType& transpositions, Workspace& tmp, const WType& w, const typename MatrixType::RealScalar& sigma=1)
|
||||
{
|
||||
// Apply the permutation to the input w
|
||||
tmp = transpositions * w;
|
||||
|
||||
return ldlt_inplace<Lower>::updateInPlace(mat,tmp,sigma);
|
||||
}
|
||||
};
|
||||
|
||||
template<> struct ldlt_inplace<Upper>
|
||||
{
|
||||
template<typename MatrixType, typename TranspositionType, typename Workspace>
|
||||
static EIGEN_STRONG_INLINE bool unblocked(MatrixType& mat, TranspositionType& transpositions, Workspace& temp, SignMatrix& sign)
|
||||
{
|
||||
Transpose<MatrixType> matt(mat);
|
||||
return ldlt_inplace<Lower>::unblocked(matt, transpositions, temp, sign);
|
||||
}
|
||||
|
||||
template<typename MatrixType, typename TranspositionType, typename Workspace, typename WType>
|
||||
static EIGEN_STRONG_INLINE bool update(MatrixType& mat, TranspositionType& transpositions, Workspace& tmp, WType& w, const typename MatrixType::RealScalar& sigma=1)
|
||||
{
|
||||
Transpose<MatrixType> matt(mat);
|
||||
return ldlt_inplace<Lower>::update(matt, transpositions, tmp, w.conjugate(), sigma);
|
||||
}
|
||||
};
|
||||
|
||||
template<typename MatrixType> struct LDLT_Traits<MatrixType,Lower>
|
||||
{
|
||||
typedef const TriangularView<const MatrixType, UnitLower> MatrixL;
|
||||
typedef const TriangularView<const typename MatrixType::AdjointReturnType, UnitUpper> MatrixU;
|
||||
static inline MatrixL getL(const MatrixType& m) { return MatrixL(m); }
|
||||
static inline MatrixU getU(const MatrixType& m) { return MatrixU(m.adjoint()); }
|
||||
};
|
||||
|
||||
template<typename MatrixType> struct LDLT_Traits<MatrixType,Upper>
|
||||
{
|
||||
typedef const TriangularView<const typename MatrixType::AdjointReturnType, UnitLower> MatrixL;
|
||||
typedef const TriangularView<const MatrixType, UnitUpper> MatrixU;
|
||||
static inline MatrixL getL(const MatrixType& m) { return MatrixL(m.adjoint()); }
|
||||
static inline MatrixU getU(const MatrixType& m) { return MatrixU(m); }
|
||||
};
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
/** Compute / recompute the LDLT decomposition A = L D L^* = U^* D U of \a matrix
|
||||
*/
|
||||
template<typename MatrixType, int _UpLo>
|
||||
template<typename InputType>
|
||||
LDLT<MatrixType,_UpLo>& LDLT<MatrixType,_UpLo>::compute(const EigenBase<InputType>& a)
|
||||
{
|
||||
check_template_parameters();
|
||||
|
||||
eigen_assert(a.rows()==a.cols());
|
||||
const Index size = a.rows();
|
||||
|
||||
m_matrix = a.derived();
|
||||
|
||||
// Compute matrix L1 norm = max abs column sum.
|
||||
m_l1_norm = RealScalar(0);
|
||||
// TODO move this code to SelfAdjointView
|
||||
for (Index col = 0; col < size; ++col) {
|
||||
RealScalar abs_col_sum;
|
||||
if (_UpLo == Lower)
|
||||
abs_col_sum = m_matrix.col(col).tail(size - col).template lpNorm<1>() + m_matrix.row(col).head(col).template lpNorm<1>();
|
||||
else
|
||||
abs_col_sum = m_matrix.col(col).head(col).template lpNorm<1>() + m_matrix.row(col).tail(size - col).template lpNorm<1>();
|
||||
if (abs_col_sum > m_l1_norm)
|
||||
m_l1_norm = abs_col_sum;
|
||||
}
|
||||
|
||||
m_transpositions.resize(size);
|
||||
m_isInitialized = false;
|
||||
m_temporary.resize(size);
|
||||
m_sign = internal::ZeroSign;
|
||||
|
||||
m_info = internal::ldlt_inplace<UpLo>::unblocked(m_matrix, m_transpositions, m_temporary, m_sign) ? Success : NumericalIssue;
|
||||
|
||||
m_isInitialized = true;
|
||||
return *this;
|
||||
}
|
||||
|
||||
/** Update the LDLT decomposition: given A = L D L^T, efficiently compute the decomposition of A + sigma w w^T.
|
||||
* \param w a vector to be incorporated into the decomposition.
|
||||
* \param sigma a scalar, +1 for updates and -1 for "downdates," which correspond to removing previously-added column vectors. Optional; default value is +1.
|
||||
* \sa setZero()
|
||||
*/
|
||||
template<typename MatrixType, int _UpLo>
|
||||
template<typename Derived>
|
||||
LDLT<MatrixType,_UpLo>& LDLT<MatrixType,_UpLo>::rankUpdate(const MatrixBase<Derived>& w, const typename LDLT<MatrixType,_UpLo>::RealScalar& sigma)
|
||||
{
|
||||
typedef typename TranspositionType::StorageIndex IndexType;
|
||||
const Index size = w.rows();
|
||||
if (m_isInitialized)
|
||||
{
|
||||
eigen_assert(m_matrix.rows()==size);
|
||||
}
|
||||
else
|
||||
{
|
||||
m_matrix.resize(size,size);
|
||||
m_matrix.setZero();
|
||||
m_transpositions.resize(size);
|
||||
for (Index i = 0; i < size; i++)
|
||||
m_transpositions.coeffRef(i) = IndexType(i);
|
||||
m_temporary.resize(size);
|
||||
m_sign = sigma>=0 ? internal::PositiveSemiDef : internal::NegativeSemiDef;
|
||||
m_isInitialized = true;
|
||||
}
|
||||
|
||||
internal::ldlt_inplace<UpLo>::update(m_matrix, m_transpositions, m_temporary, w, sigma);
|
||||
|
||||
return *this;
|
||||
}
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
template<typename _MatrixType, int _UpLo>
|
||||
template<typename RhsType, typename DstType>
|
||||
void LDLT<_MatrixType,_UpLo>::_solve_impl(const RhsType &rhs, DstType &dst) const
|
||||
{
|
||||
_solve_impl_transposed<true>(rhs, dst);
|
||||
}
|
||||
|
||||
template<typename _MatrixType,int _UpLo>
|
||||
template<bool Conjugate, typename RhsType, typename DstType>
|
||||
void LDLT<_MatrixType,_UpLo>::_solve_impl_transposed(const RhsType &rhs, DstType &dst) const
|
||||
{
|
||||
// dst = P b
|
||||
dst = m_transpositions * rhs;
|
||||
|
||||
// dst = L^-1 (P b)
|
||||
// dst = L^-*T (P b)
|
||||
matrixL().template conjugateIf<!Conjugate>().solveInPlace(dst);
|
||||
|
||||
// dst = D^-* (L^-1 P b)
|
||||
// dst = D^-1 (L^-*T P b)
|
||||
// more precisely, use pseudo-inverse of D (see bug 241)
|
||||
using std::abs;
|
||||
const typename Diagonal<const MatrixType>::RealReturnType vecD(vectorD());
|
||||
// In some previous versions, tolerance was set to the max of 1/highest (or rather numeric_limits::min())
|
||||
// and the maximal diagonal entry * epsilon as motivated by LAPACK's xGELSS:
|
||||
// RealScalar tolerance = numext::maxi(vecD.array().abs().maxCoeff() * NumTraits<RealScalar>::epsilon(),RealScalar(1) / NumTraits<RealScalar>::highest());
|
||||
// However, LDLT is not rank revealing, and so adjusting the tolerance wrt to the highest
|
||||
// diagonal element is not well justified and leads to numerical issues in some cases.
|
||||
// Moreover, Lapack's xSYTRS routines use 0 for the tolerance.
|
||||
// Using numeric_limits::min() gives us more robustness to denormals.
|
||||
RealScalar tolerance = (std::numeric_limits<RealScalar>::min)();
|
||||
for (Index i = 0; i < vecD.size(); ++i)
|
||||
{
|
||||
if(abs(vecD(i)) > tolerance)
|
||||
dst.row(i) /= vecD(i);
|
||||
else
|
||||
dst.row(i).setZero();
|
||||
}
|
||||
|
||||
// dst = L^-* (D^-* L^-1 P b)
|
||||
// dst = L^-T (D^-1 L^-*T P b)
|
||||
matrixL().transpose().template conjugateIf<Conjugate>().solveInPlace(dst);
|
||||
|
||||
// dst = P^T (L^-* D^-* L^-1 P b) = A^-1 b
|
||||
// dst = P^-T (L^-T D^-1 L^-*T P b) = A^-1 b
|
||||
dst = m_transpositions.transpose() * dst;
|
||||
}
|
||||
#endif
|
||||
|
||||
/** \internal use x = ldlt_object.solve(x);
|
||||
*
|
||||
* This is the \em in-place version of solve().
|
||||
*
|
||||
* \param bAndX represents both the right-hand side matrix b and result x.
|
||||
*
|
||||
* \returns true always! If you need to check for existence of solutions, use another decomposition like LU, QR, or SVD.
|
||||
*
|
||||
* This version avoids a copy when the right hand side matrix b is not
|
||||
* needed anymore.
|
||||
*
|
||||
* \sa LDLT::solve(), MatrixBase::ldlt()
|
||||
*/
|
||||
template<typename MatrixType,int _UpLo>
|
||||
template<typename Derived>
|
||||
bool LDLT<MatrixType,_UpLo>::solveInPlace(MatrixBase<Derived> &bAndX) const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LDLT is not initialized.");
|
||||
eigen_assert(m_matrix.rows() == bAndX.rows());
|
||||
|
||||
bAndX = this->solve(bAndX);
|
||||
|
||||
return true;
|
||||
}
|
||||
|
||||
/** \returns the matrix represented by the decomposition,
|
||||
* i.e., it returns the product: P^T L D L^* P.
|
||||
* This function is provided for debug purpose. */
|
||||
template<typename MatrixType, int _UpLo>
|
||||
MatrixType LDLT<MatrixType,_UpLo>::reconstructedMatrix() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LDLT is not initialized.");
|
||||
const Index size = m_matrix.rows();
|
||||
MatrixType res(size,size);
|
||||
|
||||
// P
|
||||
res.setIdentity();
|
||||
res = transpositionsP() * res;
|
||||
// L^* P
|
||||
res = matrixU() * res;
|
||||
// D(L^*P)
|
||||
res = vectorD().real().asDiagonal() * res;
|
||||
// L(DL^*P)
|
||||
res = matrixL() * res;
|
||||
// P^T (LDL^*P)
|
||||
res = transpositionsP().transpose() * res;
|
||||
|
||||
return res;
|
||||
}
|
||||
|
||||
/** \cholesky_module
|
||||
* \returns the Cholesky decomposition with full pivoting without square root of \c *this
|
||||
* \sa MatrixBase::ldlt()
|
||||
*/
|
||||
template<typename MatrixType, unsigned int UpLo>
|
||||
inline const LDLT<typename SelfAdjointView<MatrixType, UpLo>::PlainObject, UpLo>
|
||||
SelfAdjointView<MatrixType, UpLo>::ldlt() const
|
||||
{
|
||||
return LDLT<PlainObject,UpLo>(m_matrix);
|
||||
}
|
||||
|
||||
/** \cholesky_module
|
||||
* \returns the Cholesky decomposition with full pivoting without square root of \c *this
|
||||
* \sa SelfAdjointView::ldlt()
|
||||
*/
|
||||
template<typename Derived>
|
||||
inline const LDLT<typename MatrixBase<Derived>::PlainObject>
|
||||
MatrixBase<Derived>::ldlt() const
|
||||
{
|
||||
return LDLT<PlainObject>(derived());
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_LDLT_H
|
||||
|
|
@ -0,0 +1,558 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_LLT_H
|
||||
#define EIGEN_LLT_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal{
|
||||
|
||||
template<typename _MatrixType, int _UpLo> struct traits<LLT<_MatrixType, _UpLo> >
|
||||
: traits<_MatrixType>
|
||||
{
|
||||
typedef MatrixXpr XprKind;
|
||||
typedef SolverStorage StorageKind;
|
||||
typedef int StorageIndex;
|
||||
enum { Flags = 0 };
|
||||
};
|
||||
|
||||
template<typename MatrixType, int UpLo> struct LLT_Traits;
|
||||
}
|
||||
|
||||
/** \ingroup Cholesky_Module
|
||||
*
|
||||
* \class LLT
|
||||
*
|
||||
* \brief Standard Cholesky decomposition (LL^T) of a matrix and associated features
|
||||
*
|
||||
* \tparam _MatrixType the type of the matrix of which we are computing the LL^T Cholesky decomposition
|
||||
* \tparam _UpLo the triangular part that will be used for the decompositon: Lower (default) or Upper.
|
||||
* The other triangular part won't be read.
|
||||
*
|
||||
* This class performs a LL^T Cholesky decomposition of a symmetric, positive definite
|
||||
* matrix A such that A = LL^* = U^*U, where L is lower triangular.
|
||||
*
|
||||
* While the Cholesky decomposition is particularly useful to solve selfadjoint problems like D^*D x = b,
|
||||
* for that purpose, we recommend the Cholesky decomposition without square root which is more stable
|
||||
* and even faster. Nevertheless, this standard Cholesky decomposition remains useful in many other
|
||||
* situations like generalised eigen problems with hermitian matrices.
|
||||
*
|
||||
* Remember that Cholesky decompositions are not rank-revealing. This LLT decomposition is only stable on positive definite matrices,
|
||||
* use LDLT instead for the semidefinite case. Also, do not use a Cholesky decomposition to determine whether a system of equations
|
||||
* has a solution.
|
||||
*
|
||||
* Example: \include LLT_example.cpp
|
||||
* Output: \verbinclude LLT_example.out
|
||||
*
|
||||
* \b Performance: for best performance, it is recommended to use a column-major storage format
|
||||
* with the Lower triangular part (the default), or, equivalently, a row-major storage format
|
||||
* with the Upper triangular part. Otherwise, you might get a 20% slowdown for the full factorization
|
||||
* step, and rank-updates can be up to 3 times slower.
|
||||
*
|
||||
* This class supports the \link InplaceDecomposition inplace decomposition \endlink mechanism.
|
||||
*
|
||||
* Note that during the decomposition, only the lower (or upper, as defined by _UpLo) triangular part of A is considered.
|
||||
* Therefore, the strict lower part does not have to store correct values.
|
||||
*
|
||||
* \sa MatrixBase::llt(), SelfAdjointView::llt(), class LDLT
|
||||
*/
|
||||
template<typename _MatrixType, int _UpLo> class LLT
|
||||
: public SolverBase<LLT<_MatrixType, _UpLo> >
|
||||
{
|
||||
public:
|
||||
typedef _MatrixType MatrixType;
|
||||
typedef SolverBase<LLT> Base;
|
||||
friend class SolverBase<LLT>;
|
||||
|
||||
EIGEN_GENERIC_PUBLIC_INTERFACE(LLT)
|
||||
enum {
|
||||
MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime
|
||||
};
|
||||
|
||||
enum {
|
||||
PacketSize = internal::packet_traits<Scalar>::size,
|
||||
AlignmentMask = int(PacketSize)-1,
|
||||
UpLo = _UpLo
|
||||
};
|
||||
|
||||
typedef internal::LLT_Traits<MatrixType,UpLo> Traits;
|
||||
|
||||
/**
|
||||
* \brief Default Constructor.
|
||||
*
|
||||
* The default constructor is useful in cases in which the user intends to
|
||||
* perform decompositions via LLT::compute(const MatrixType&).
|
||||
*/
|
||||
LLT() : m_matrix(), m_isInitialized(false) {}
|
||||
|
||||
/** \brief Default Constructor with memory preallocation
|
||||
*
|
||||
* Like the default constructor but with preallocation of the internal data
|
||||
* according to the specified problem \a size.
|
||||
* \sa LLT()
|
||||
*/
|
||||
explicit LLT(Index size) : m_matrix(size, size),
|
||||
m_isInitialized(false) {}
|
||||
|
||||
template<typename InputType>
|
||||
explicit LLT(const EigenBase<InputType>& matrix)
|
||||
: m_matrix(matrix.rows(), matrix.cols()),
|
||||
m_isInitialized(false)
|
||||
{
|
||||
compute(matrix.derived());
|
||||
}
|
||||
|
||||
/** \brief Constructs a LLT factorization from a given matrix
|
||||
*
|
||||
* This overloaded constructor is provided for \link InplaceDecomposition inplace decomposition \endlink when
|
||||
* \c MatrixType is a Eigen::Ref.
|
||||
*
|
||||
* \sa LLT(const EigenBase&)
|
||||
*/
|
||||
template<typename InputType>
|
||||
explicit LLT(EigenBase<InputType>& matrix)
|
||||
: m_matrix(matrix.derived()),
|
||||
m_isInitialized(false)
|
||||
{
|
||||
compute(matrix.derived());
|
||||
}
|
||||
|
||||
/** \returns a view of the upper triangular matrix U */
|
||||
inline typename Traits::MatrixU matrixU() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LLT is not initialized.");
|
||||
return Traits::getU(m_matrix);
|
||||
}
|
||||
|
||||
/** \returns a view of the lower triangular matrix L */
|
||||
inline typename Traits::MatrixL matrixL() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LLT is not initialized.");
|
||||
return Traits::getL(m_matrix);
|
||||
}
|
||||
|
||||
#ifdef EIGEN_PARSED_BY_DOXYGEN
|
||||
/** \returns the solution x of \f$ A x = b \f$ using the current decomposition of A.
|
||||
*
|
||||
* Since this LLT class assumes anyway that the matrix A is invertible, the solution
|
||||
* theoretically exists and is unique regardless of b.
|
||||
*
|
||||
* Example: \include LLT_solve.cpp
|
||||
* Output: \verbinclude LLT_solve.out
|
||||
*
|
||||
* \sa solveInPlace(), MatrixBase::llt(), SelfAdjointView::llt()
|
||||
*/
|
||||
template<typename Rhs>
|
||||
inline const Solve<LLT, Rhs>
|
||||
solve(const MatrixBase<Rhs>& b) const;
|
||||
#endif
|
||||
|
||||
template<typename Derived>
|
||||
void solveInPlace(const MatrixBase<Derived> &bAndX) const;
|
||||
|
||||
template<typename InputType>
|
||||
LLT& compute(const EigenBase<InputType>& matrix);
|
||||
|
||||
/** \returns an estimate of the reciprocal condition number of the matrix of
|
||||
* which \c *this is the Cholesky decomposition.
|
||||
*/
|
||||
RealScalar rcond() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LLT is not initialized.");
|
||||
eigen_assert(m_info == Success && "LLT failed because matrix appears to be negative");
|
||||
return internal::rcond_estimate_helper(m_l1_norm, *this);
|
||||
}
|
||||
|
||||
/** \returns the LLT decomposition matrix
|
||||
*
|
||||
* TODO: document the storage layout
|
||||
*/
|
||||
inline const MatrixType& matrixLLT() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LLT is not initialized.");
|
||||
return m_matrix;
|
||||
}
|
||||
|
||||
MatrixType reconstructedMatrix() const;
|
||||
|
||||
|
||||
/** \brief Reports whether previous computation was successful.
|
||||
*
|
||||
* \returns \c Success if computation was successful,
|
||||
* \c NumericalIssue if the matrix.appears not to be positive definite.
|
||||
*/
|
||||
ComputationInfo info() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LLT is not initialized.");
|
||||
return m_info;
|
||||
}
|
||||
|
||||
/** \returns the adjoint of \c *this, that is, a const reference to the decomposition itself as the underlying matrix is self-adjoint.
|
||||
*
|
||||
* This method is provided for compatibility with other matrix decompositions, thus enabling generic code such as:
|
||||
* \code x = decomposition.adjoint().solve(b) \endcode
|
||||
*/
|
||||
const LLT& adjoint() const EIGEN_NOEXCEPT { return *this; };
|
||||
|
||||
inline EIGEN_CONSTEXPR Index rows() const EIGEN_NOEXCEPT { return m_matrix.rows(); }
|
||||
inline EIGEN_CONSTEXPR Index cols() const EIGEN_NOEXCEPT { return m_matrix.cols(); }
|
||||
|
||||
template<typename VectorType>
|
||||
LLT & rankUpdate(const VectorType& vec, const RealScalar& sigma = 1);
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
template<typename RhsType, typename DstType>
|
||||
void _solve_impl(const RhsType &rhs, DstType &dst) const;
|
||||
|
||||
template<bool Conjugate, typename RhsType, typename DstType>
|
||||
void _solve_impl_transposed(const RhsType &rhs, DstType &dst) const;
|
||||
#endif
|
||||
|
||||
protected:
|
||||
|
||||
static void check_template_parameters()
|
||||
{
|
||||
EIGEN_STATIC_ASSERT_NON_INTEGER(Scalar);
|
||||
}
|
||||
|
||||
/** \internal
|
||||
* Used to compute and store L
|
||||
* The strict upper part is not used and even not initialized.
|
||||
*/
|
||||
MatrixType m_matrix;
|
||||
RealScalar m_l1_norm;
|
||||
bool m_isInitialized;
|
||||
ComputationInfo m_info;
|
||||
};
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<typename Scalar, int UpLo> struct llt_inplace;
|
||||
|
||||
template<typename MatrixType, typename VectorType>
|
||||
static Index llt_rank_update_lower(MatrixType& mat, const VectorType& vec, const typename MatrixType::RealScalar& sigma)
|
||||
{
|
||||
using std::sqrt;
|
||||
typedef typename MatrixType::Scalar Scalar;
|
||||
typedef typename MatrixType::RealScalar RealScalar;
|
||||
typedef typename MatrixType::ColXpr ColXpr;
|
||||
typedef typename internal::remove_all<ColXpr>::type ColXprCleaned;
|
||||
typedef typename ColXprCleaned::SegmentReturnType ColXprSegment;
|
||||
typedef Matrix<Scalar,Dynamic,1> TempVectorType;
|
||||
typedef typename TempVectorType::SegmentReturnType TempVecSegment;
|
||||
|
||||
Index n = mat.cols();
|
||||
eigen_assert(mat.rows()==n && vec.size()==n);
|
||||
|
||||
TempVectorType temp;
|
||||
|
||||
if(sigma>0)
|
||||
{
|
||||
// This version is based on Givens rotations.
|
||||
// It is faster than the other one below, but only works for updates,
|
||||
// i.e., for sigma > 0
|
||||
temp = sqrt(sigma) * vec;
|
||||
|
||||
for(Index i=0; i<n; ++i)
|
||||
{
|
||||
JacobiRotation<Scalar> g;
|
||||
g.makeGivens(mat(i,i), -temp(i), &mat(i,i));
|
||||
|
||||
Index rs = n-i-1;
|
||||
if(rs>0)
|
||||
{
|
||||
ColXprSegment x(mat.col(i).tail(rs));
|
||||
TempVecSegment y(temp.tail(rs));
|
||||
apply_rotation_in_the_plane(x, y, g);
|
||||
}
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
temp = vec;
|
||||
RealScalar beta = 1;
|
||||
for(Index j=0; j<n; ++j)
|
||||
{
|
||||
RealScalar Ljj = numext::real(mat.coeff(j,j));
|
||||
RealScalar dj = numext::abs2(Ljj);
|
||||
Scalar wj = temp.coeff(j);
|
||||
RealScalar swj2 = sigma*numext::abs2(wj);
|
||||
RealScalar gamma = dj*beta + swj2;
|
||||
|
||||
RealScalar x = dj + swj2/beta;
|
||||
if (x<=RealScalar(0))
|
||||
return j;
|
||||
RealScalar nLjj = sqrt(x);
|
||||
mat.coeffRef(j,j) = nLjj;
|
||||
beta += swj2/dj;
|
||||
|
||||
// Update the terms of L
|
||||
Index rs = n-j-1;
|
||||
if(rs)
|
||||
{
|
||||
temp.tail(rs) -= (wj/Ljj) * mat.col(j).tail(rs);
|
||||
if(gamma != 0)
|
||||
mat.col(j).tail(rs) = (nLjj/Ljj) * mat.col(j).tail(rs) + (nLjj * sigma*numext::conj(wj)/gamma)*temp.tail(rs);
|
||||
}
|
||||
}
|
||||
}
|
||||
return -1;
|
||||
}
|
||||
|
||||
template<typename Scalar> struct llt_inplace<Scalar, Lower>
|
||||
{
|
||||
typedef typename NumTraits<Scalar>::Real RealScalar;
|
||||
template<typename MatrixType>
|
||||
static Index unblocked(MatrixType& mat)
|
||||
{
|
||||
using std::sqrt;
|
||||
|
||||
eigen_assert(mat.rows()==mat.cols());
|
||||
const Index size = mat.rows();
|
||||
for(Index k = 0; k < size; ++k)
|
||||
{
|
||||
Index rs = size-k-1; // remaining size
|
||||
|
||||
Block<MatrixType,Dynamic,1> A21(mat,k+1,k,rs,1);
|
||||
Block<MatrixType,1,Dynamic> A10(mat,k,0,1,k);
|
||||
Block<MatrixType,Dynamic,Dynamic> A20(mat,k+1,0,rs,k);
|
||||
|
||||
RealScalar x = numext::real(mat.coeff(k,k));
|
||||
if (k>0) x -= A10.squaredNorm();
|
||||
if (x<=RealScalar(0))
|
||||
return k;
|
||||
mat.coeffRef(k,k) = x = sqrt(x);
|
||||
if (k>0 && rs>0) A21.noalias() -= A20 * A10.adjoint();
|
||||
if (rs>0) A21 /= x;
|
||||
}
|
||||
return -1;
|
||||
}
|
||||
|
||||
template<typename MatrixType>
|
||||
static Index blocked(MatrixType& m)
|
||||
{
|
||||
eigen_assert(m.rows()==m.cols());
|
||||
Index size = m.rows();
|
||||
if(size<32)
|
||||
return unblocked(m);
|
||||
|
||||
Index blockSize = size/8;
|
||||
blockSize = (blockSize/16)*16;
|
||||
blockSize = (std::min)((std::max)(blockSize,Index(8)), Index(128));
|
||||
|
||||
for (Index k=0; k<size; k+=blockSize)
|
||||
{
|
||||
// partition the matrix:
|
||||
// A00 | - | -
|
||||
// lu = A10 | A11 | -
|
||||
// A20 | A21 | A22
|
||||
Index bs = (std::min)(blockSize, size-k);
|
||||
Index rs = size - k - bs;
|
||||
Block<MatrixType,Dynamic,Dynamic> A11(m,k, k, bs,bs);
|
||||
Block<MatrixType,Dynamic,Dynamic> A21(m,k+bs,k, rs,bs);
|
||||
Block<MatrixType,Dynamic,Dynamic> A22(m,k+bs,k+bs,rs,rs);
|
||||
|
||||
Index ret;
|
||||
if((ret=unblocked(A11))>=0) return k+ret;
|
||||
if(rs>0) A11.adjoint().template triangularView<Upper>().template solveInPlace<OnTheRight>(A21);
|
||||
if(rs>0) A22.template selfadjointView<Lower>().rankUpdate(A21,typename NumTraits<RealScalar>::Literal(-1)); // bottleneck
|
||||
}
|
||||
return -1;
|
||||
}
|
||||
|
||||
template<typename MatrixType, typename VectorType>
|
||||
static Index rankUpdate(MatrixType& mat, const VectorType& vec, const RealScalar& sigma)
|
||||
{
|
||||
return Eigen::internal::llt_rank_update_lower(mat, vec, sigma);
|
||||
}
|
||||
};
|
||||
|
||||
template<typename Scalar> struct llt_inplace<Scalar, Upper>
|
||||
{
|
||||
typedef typename NumTraits<Scalar>::Real RealScalar;
|
||||
|
||||
template<typename MatrixType>
|
||||
static EIGEN_STRONG_INLINE Index unblocked(MatrixType& mat)
|
||||
{
|
||||
Transpose<MatrixType> matt(mat);
|
||||
return llt_inplace<Scalar, Lower>::unblocked(matt);
|
||||
}
|
||||
template<typename MatrixType>
|
||||
static EIGEN_STRONG_INLINE Index blocked(MatrixType& mat)
|
||||
{
|
||||
Transpose<MatrixType> matt(mat);
|
||||
return llt_inplace<Scalar, Lower>::blocked(matt);
|
||||
}
|
||||
template<typename MatrixType, typename VectorType>
|
||||
static Index rankUpdate(MatrixType& mat, const VectorType& vec, const RealScalar& sigma)
|
||||
{
|
||||
Transpose<MatrixType> matt(mat);
|
||||
return llt_inplace<Scalar, Lower>::rankUpdate(matt, vec.conjugate(), sigma);
|
||||
}
|
||||
};
|
||||
|
||||
template<typename MatrixType> struct LLT_Traits<MatrixType,Lower>
|
||||
{
|
||||
typedef const TriangularView<const MatrixType, Lower> MatrixL;
|
||||
typedef const TriangularView<const typename MatrixType::AdjointReturnType, Upper> MatrixU;
|
||||
static inline MatrixL getL(const MatrixType& m) { return MatrixL(m); }
|
||||
static inline MatrixU getU(const MatrixType& m) { return MatrixU(m.adjoint()); }
|
||||
static bool inplace_decomposition(MatrixType& m)
|
||||
{ return llt_inplace<typename MatrixType::Scalar, Lower>::blocked(m)==-1; }
|
||||
};
|
||||
|
||||
template<typename MatrixType> struct LLT_Traits<MatrixType,Upper>
|
||||
{
|
||||
typedef const TriangularView<const typename MatrixType::AdjointReturnType, Lower> MatrixL;
|
||||
typedef const TriangularView<const MatrixType, Upper> MatrixU;
|
||||
static inline MatrixL getL(const MatrixType& m) { return MatrixL(m.adjoint()); }
|
||||
static inline MatrixU getU(const MatrixType& m) { return MatrixU(m); }
|
||||
static bool inplace_decomposition(MatrixType& m)
|
||||
{ return llt_inplace<typename MatrixType::Scalar, Upper>::blocked(m)==-1; }
|
||||
};
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
/** Computes / recomputes the Cholesky decomposition A = LL^* = U^*U of \a matrix
|
||||
*
|
||||
* \returns a reference to *this
|
||||
*
|
||||
* Example: \include TutorialLinAlgComputeTwice.cpp
|
||||
* Output: \verbinclude TutorialLinAlgComputeTwice.out
|
||||
*/
|
||||
template<typename MatrixType, int _UpLo>
|
||||
template<typename InputType>
|
||||
LLT<MatrixType,_UpLo>& LLT<MatrixType,_UpLo>::compute(const EigenBase<InputType>& a)
|
||||
{
|
||||
check_template_parameters();
|
||||
|
||||
eigen_assert(a.rows()==a.cols());
|
||||
const Index size = a.rows();
|
||||
m_matrix.resize(size, size);
|
||||
if (!internal::is_same_dense(m_matrix, a.derived()))
|
||||
m_matrix = a.derived();
|
||||
|
||||
// Compute matrix L1 norm = max abs column sum.
|
||||
m_l1_norm = RealScalar(0);
|
||||
// TODO move this code to SelfAdjointView
|
||||
for (Index col = 0; col < size; ++col) {
|
||||
RealScalar abs_col_sum;
|
||||
if (_UpLo == Lower)
|
||||
abs_col_sum = m_matrix.col(col).tail(size - col).template lpNorm<1>() + m_matrix.row(col).head(col).template lpNorm<1>();
|
||||
else
|
||||
abs_col_sum = m_matrix.col(col).head(col).template lpNorm<1>() + m_matrix.row(col).tail(size - col).template lpNorm<1>();
|
||||
if (abs_col_sum > m_l1_norm)
|
||||
m_l1_norm = abs_col_sum;
|
||||
}
|
||||
|
||||
m_isInitialized = true;
|
||||
bool ok = Traits::inplace_decomposition(m_matrix);
|
||||
m_info = ok ? Success : NumericalIssue;
|
||||
|
||||
return *this;
|
||||
}
|
||||
|
||||
/** Performs a rank one update (or dowdate) of the current decomposition.
|
||||
* If A = LL^* before the rank one update,
|
||||
* then after it we have LL^* = A + sigma * v v^* where \a v must be a vector
|
||||
* of same dimension.
|
||||
*/
|
||||
template<typename _MatrixType, int _UpLo>
|
||||
template<typename VectorType>
|
||||
LLT<_MatrixType,_UpLo> & LLT<_MatrixType,_UpLo>::rankUpdate(const VectorType& v, const RealScalar& sigma)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT_VECTOR_ONLY(VectorType);
|
||||
eigen_assert(v.size()==m_matrix.cols());
|
||||
eigen_assert(m_isInitialized);
|
||||
if(internal::llt_inplace<typename MatrixType::Scalar, UpLo>::rankUpdate(m_matrix,v,sigma)>=0)
|
||||
m_info = NumericalIssue;
|
||||
else
|
||||
m_info = Success;
|
||||
|
||||
return *this;
|
||||
}
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
template<typename _MatrixType,int _UpLo>
|
||||
template<typename RhsType, typename DstType>
|
||||
void LLT<_MatrixType,_UpLo>::_solve_impl(const RhsType &rhs, DstType &dst) const
|
||||
{
|
||||
_solve_impl_transposed<true>(rhs, dst);
|
||||
}
|
||||
|
||||
template<typename _MatrixType,int _UpLo>
|
||||
template<bool Conjugate, typename RhsType, typename DstType>
|
||||
void LLT<_MatrixType,_UpLo>::_solve_impl_transposed(const RhsType &rhs, DstType &dst) const
|
||||
{
|
||||
dst = rhs;
|
||||
|
||||
matrixL().template conjugateIf<!Conjugate>().solveInPlace(dst);
|
||||
matrixU().template conjugateIf<!Conjugate>().solveInPlace(dst);
|
||||
}
|
||||
#endif
|
||||
|
||||
/** \internal use x = llt_object.solve(x);
|
||||
*
|
||||
* This is the \em in-place version of solve().
|
||||
*
|
||||
* \param bAndX represents both the right-hand side matrix b and result x.
|
||||
*
|
||||
* This version avoids a copy when the right hand side matrix b is not needed anymore.
|
||||
*
|
||||
* \warning The parameter is only marked 'const' to make the C++ compiler accept a temporary expression here.
|
||||
* This function will const_cast it, so constness isn't honored here.
|
||||
*
|
||||
* \sa LLT::solve(), MatrixBase::llt()
|
||||
*/
|
||||
template<typename MatrixType, int _UpLo>
|
||||
template<typename Derived>
|
||||
void LLT<MatrixType,_UpLo>::solveInPlace(const MatrixBase<Derived> &bAndX) const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LLT is not initialized.");
|
||||
eigen_assert(m_matrix.rows()==bAndX.rows());
|
||||
matrixL().solveInPlace(bAndX);
|
||||
matrixU().solveInPlace(bAndX);
|
||||
}
|
||||
|
||||
/** \returns the matrix represented by the decomposition,
|
||||
* i.e., it returns the product: L L^*.
|
||||
* This function is provided for debug purpose. */
|
||||
template<typename MatrixType, int _UpLo>
|
||||
MatrixType LLT<MatrixType,_UpLo>::reconstructedMatrix() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "LLT is not initialized.");
|
||||
return matrixL() * matrixL().adjoint().toDenseMatrix();
|
||||
}
|
||||
|
||||
/** \cholesky_module
|
||||
* \returns the LLT decomposition of \c *this
|
||||
* \sa SelfAdjointView::llt()
|
||||
*/
|
||||
template<typename Derived>
|
||||
inline const LLT<typename MatrixBase<Derived>::PlainObject>
|
||||
MatrixBase<Derived>::llt() const
|
||||
{
|
||||
return LLT<PlainObject>(derived());
|
||||
}
|
||||
|
||||
/** \cholesky_module
|
||||
* \returns the LLT decomposition of \c *this
|
||||
* \sa SelfAdjointView::llt()
|
||||
*/
|
||||
template<typename MatrixType, unsigned int UpLo>
|
||||
inline const LLT<typename SelfAdjointView<MatrixType, UpLo>::PlainObject, UpLo>
|
||||
SelfAdjointView<MatrixType, UpLo>::llt() const
|
||||
{
|
||||
return LLT<PlainObject,UpLo>(m_matrix);
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_LLT_H
|
||||
|
|
@ -0,0 +1,99 @@
|
|||
/*
|
||||
Copyright (c) 2011, Intel Corporation. All rights reserved.
|
||||
|
||||
Redistribution and use in source and binary forms, with or without modification,
|
||||
are permitted provided that the following conditions are met:
|
||||
|
||||
* Redistributions of source code must retain the above copyright notice, this
|
||||
list of conditions and the following disclaimer.
|
||||
* Redistributions in binary form must reproduce the above copyright notice,
|
||||
this list of conditions and the following disclaimer in the documentation
|
||||
and/or other materials provided with the distribution.
|
||||
* Neither the name of Intel Corporation nor the names of its contributors may
|
||||
be used to endorse or promote products derived from this software without
|
||||
specific prior written permission.
|
||||
|
||||
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
|
||||
ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
|
||||
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
|
||||
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
|
||||
ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
|
||||
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
||||
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
|
||||
ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
|
||||
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
|
||||
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
|
||||
********************************************************************************
|
||||
* Content : Eigen bindings to LAPACKe
|
||||
* LLt decomposition based on LAPACKE_?potrf function.
|
||||
********************************************************************************
|
||||
*/
|
||||
|
||||
#ifndef EIGEN_LLT_LAPACKE_H
|
||||
#define EIGEN_LLT_LAPACKE_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<typename Scalar> struct lapacke_llt;
|
||||
|
||||
#define EIGEN_LAPACKE_LLT(EIGTYPE, BLASTYPE, LAPACKE_PREFIX) \
|
||||
template<> struct lapacke_llt<EIGTYPE> \
|
||||
{ \
|
||||
template<typename MatrixType> \
|
||||
static inline Index potrf(MatrixType& m, char uplo) \
|
||||
{ \
|
||||
lapack_int matrix_order; \
|
||||
lapack_int size, lda, info, StorageOrder; \
|
||||
EIGTYPE* a; \
|
||||
eigen_assert(m.rows()==m.cols()); \
|
||||
/* Set up parameters for ?potrf */ \
|
||||
size = convert_index<lapack_int>(m.rows()); \
|
||||
StorageOrder = MatrixType::Flags&RowMajorBit?RowMajor:ColMajor; \
|
||||
matrix_order = StorageOrder==RowMajor ? LAPACK_ROW_MAJOR : LAPACK_COL_MAJOR; \
|
||||
a = &(m.coeffRef(0,0)); \
|
||||
lda = convert_index<lapack_int>(m.outerStride()); \
|
||||
\
|
||||
info = LAPACKE_##LAPACKE_PREFIX##potrf( matrix_order, uplo, size, (BLASTYPE*)a, lda ); \
|
||||
info = (info==0) ? -1 : info>0 ? info-1 : size; \
|
||||
return info; \
|
||||
} \
|
||||
}; \
|
||||
template<> struct llt_inplace<EIGTYPE, Lower> \
|
||||
{ \
|
||||
template<typename MatrixType> \
|
||||
static Index blocked(MatrixType& m) \
|
||||
{ \
|
||||
return lapacke_llt<EIGTYPE>::potrf(m, 'L'); \
|
||||
} \
|
||||
template<typename MatrixType, typename VectorType> \
|
||||
static Index rankUpdate(MatrixType& mat, const VectorType& vec, const typename MatrixType::RealScalar& sigma) \
|
||||
{ return Eigen::internal::llt_rank_update_lower(mat, vec, sigma); } \
|
||||
}; \
|
||||
template<> struct llt_inplace<EIGTYPE, Upper> \
|
||||
{ \
|
||||
template<typename MatrixType> \
|
||||
static Index blocked(MatrixType& m) \
|
||||
{ \
|
||||
return lapacke_llt<EIGTYPE>::potrf(m, 'U'); \
|
||||
} \
|
||||
template<typename MatrixType, typename VectorType> \
|
||||
static Index rankUpdate(MatrixType& mat, const VectorType& vec, const typename MatrixType::RealScalar& sigma) \
|
||||
{ \
|
||||
Transpose<MatrixType> matt(mat); \
|
||||
return llt_inplace<EIGTYPE, Lower>::rankUpdate(matt, vec.conjugate(), sigma); \
|
||||
} \
|
||||
};
|
||||
|
||||
EIGEN_LAPACKE_LLT(double, double, d)
|
||||
EIGEN_LAPACKE_LLT(float, float, s)
|
||||
EIGEN_LAPACKE_LLT(dcomplex, lapack_complex_double, z)
|
||||
EIGEN_LAPACKE_LLT(scomplex, lapack_complex_float, c)
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_LLT_LAPACKE_H
|
||||
|
|
@ -0,0 +1,682 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_CHOLMODSUPPORT_H
|
||||
#define EIGEN_CHOLMODSUPPORT_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<typename Scalar> struct cholmod_configure_matrix;
|
||||
|
||||
template<> struct cholmod_configure_matrix<double> {
|
||||
template<typename CholmodType>
|
||||
static void run(CholmodType& mat) {
|
||||
mat.xtype = CHOLMOD_REAL;
|
||||
mat.dtype = CHOLMOD_DOUBLE;
|
||||
}
|
||||
};
|
||||
|
||||
template<> struct cholmod_configure_matrix<std::complex<double> > {
|
||||
template<typename CholmodType>
|
||||
static void run(CholmodType& mat) {
|
||||
mat.xtype = CHOLMOD_COMPLEX;
|
||||
mat.dtype = CHOLMOD_DOUBLE;
|
||||
}
|
||||
};
|
||||
|
||||
// Other scalar types are not yet supported by Cholmod
|
||||
// template<> struct cholmod_configure_matrix<float> {
|
||||
// template<typename CholmodType>
|
||||
// static void run(CholmodType& mat) {
|
||||
// mat.xtype = CHOLMOD_REAL;
|
||||
// mat.dtype = CHOLMOD_SINGLE;
|
||||
// }
|
||||
// };
|
||||
//
|
||||
// template<> struct cholmod_configure_matrix<std::complex<float> > {
|
||||
// template<typename CholmodType>
|
||||
// static void run(CholmodType& mat) {
|
||||
// mat.xtype = CHOLMOD_COMPLEX;
|
||||
// mat.dtype = CHOLMOD_SINGLE;
|
||||
// }
|
||||
// };
|
||||
|
||||
} // namespace internal
|
||||
|
||||
/** Wraps the Eigen sparse matrix \a mat into a Cholmod sparse matrix object.
|
||||
* Note that the data are shared.
|
||||
*/
|
||||
template<typename _Scalar, int _Options, typename _StorageIndex>
|
||||
cholmod_sparse viewAsCholmod(Ref<SparseMatrix<_Scalar,_Options,_StorageIndex> > mat)
|
||||
{
|
||||
cholmod_sparse res;
|
||||
res.nzmax = mat.nonZeros();
|
||||
res.nrow = mat.rows();
|
||||
res.ncol = mat.cols();
|
||||
res.p = mat.outerIndexPtr();
|
||||
res.i = mat.innerIndexPtr();
|
||||
res.x = mat.valuePtr();
|
||||
res.z = 0;
|
||||
res.sorted = 1;
|
||||
if(mat.isCompressed())
|
||||
{
|
||||
res.packed = 1;
|
||||
res.nz = 0;
|
||||
}
|
||||
else
|
||||
{
|
||||
res.packed = 0;
|
||||
res.nz = mat.innerNonZeroPtr();
|
||||
}
|
||||
|
||||
res.dtype = 0;
|
||||
res.stype = -1;
|
||||
|
||||
if (internal::is_same<_StorageIndex,int>::value)
|
||||
{
|
||||
res.itype = CHOLMOD_INT;
|
||||
}
|
||||
else if (internal::is_same<_StorageIndex,SuiteSparse_long>::value)
|
||||
{
|
||||
res.itype = CHOLMOD_LONG;
|
||||
}
|
||||
else
|
||||
{
|
||||
eigen_assert(false && "Index type not supported yet");
|
||||
}
|
||||
|
||||
// setup res.xtype
|
||||
internal::cholmod_configure_matrix<_Scalar>::run(res);
|
||||
|
||||
res.stype = 0;
|
||||
|
||||
return res;
|
||||
}
|
||||
|
||||
template<typename _Scalar, int _Options, typename _Index>
|
||||
const cholmod_sparse viewAsCholmod(const SparseMatrix<_Scalar,_Options,_Index>& mat)
|
||||
{
|
||||
cholmod_sparse res = viewAsCholmod(Ref<SparseMatrix<_Scalar,_Options,_Index> >(mat.const_cast_derived()));
|
||||
return res;
|
||||
}
|
||||
|
||||
template<typename _Scalar, int _Options, typename _Index>
|
||||
const cholmod_sparse viewAsCholmod(const SparseVector<_Scalar,_Options,_Index>& mat)
|
||||
{
|
||||
cholmod_sparse res = viewAsCholmod(Ref<SparseMatrix<_Scalar,_Options,_Index> >(mat.const_cast_derived()));
|
||||
return res;
|
||||
}
|
||||
|
||||
/** Returns a view of the Eigen sparse matrix \a mat as Cholmod sparse matrix.
|
||||
* The data are not copied but shared. */
|
||||
template<typename _Scalar, int _Options, typename _Index, unsigned int UpLo>
|
||||
cholmod_sparse viewAsCholmod(const SparseSelfAdjointView<const SparseMatrix<_Scalar,_Options,_Index>, UpLo>& mat)
|
||||
{
|
||||
cholmod_sparse res = viewAsCholmod(Ref<SparseMatrix<_Scalar,_Options,_Index> >(mat.matrix().const_cast_derived()));
|
||||
|
||||
if(UpLo==Upper) res.stype = 1;
|
||||
if(UpLo==Lower) res.stype = -1;
|
||||
// swap stype for rowmajor matrices (only works for real matrices)
|
||||
EIGEN_STATIC_ASSERT((_Options & RowMajorBit) == 0 || NumTraits<_Scalar>::IsComplex == 0, THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES);
|
||||
if(_Options & RowMajorBit) res.stype *=-1;
|
||||
|
||||
return res;
|
||||
}
|
||||
|
||||
/** Returns a view of the Eigen \b dense matrix \a mat as Cholmod dense matrix.
|
||||
* The data are not copied but shared. */
|
||||
template<typename Derived>
|
||||
cholmod_dense viewAsCholmod(MatrixBase<Derived>& mat)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT((internal::traits<Derived>::Flags&RowMajorBit)==0,THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES);
|
||||
typedef typename Derived::Scalar Scalar;
|
||||
|
||||
cholmod_dense res;
|
||||
res.nrow = mat.rows();
|
||||
res.ncol = mat.cols();
|
||||
res.nzmax = res.nrow * res.ncol;
|
||||
res.d = Derived::IsVectorAtCompileTime ? mat.derived().size() : mat.derived().outerStride();
|
||||
res.x = (void*)(mat.derived().data());
|
||||
res.z = 0;
|
||||
|
||||
internal::cholmod_configure_matrix<Scalar>::run(res);
|
||||
|
||||
return res;
|
||||
}
|
||||
|
||||
/** Returns a view of the Cholmod sparse matrix \a cm as an Eigen sparse matrix.
|
||||
* The data are not copied but shared. */
|
||||
template<typename Scalar, int Flags, typename StorageIndex>
|
||||
MappedSparseMatrix<Scalar,Flags,StorageIndex> viewAsEigen(cholmod_sparse& cm)
|
||||
{
|
||||
return MappedSparseMatrix<Scalar,Flags,StorageIndex>
|
||||
(cm.nrow, cm.ncol, static_cast<StorageIndex*>(cm.p)[cm.ncol],
|
||||
static_cast<StorageIndex*>(cm.p), static_cast<StorageIndex*>(cm.i),static_cast<Scalar*>(cm.x) );
|
||||
}
|
||||
|
||||
namespace internal {
|
||||
|
||||
// template specializations for int and long that call the correct cholmod method
|
||||
|
||||
#define EIGEN_CHOLMOD_SPECIALIZE0(ret, name) \
|
||||
template<typename _StorageIndex> inline ret cm_ ## name (cholmod_common &Common) { return cholmod_ ## name (&Common); } \
|
||||
template<> inline ret cm_ ## name<SuiteSparse_long> (cholmod_common &Common) { return cholmod_l_ ## name (&Common); }
|
||||
|
||||
#define EIGEN_CHOLMOD_SPECIALIZE1(ret, name, t1, a1) \
|
||||
template<typename _StorageIndex> inline ret cm_ ## name (t1& a1, cholmod_common &Common) { return cholmod_ ## name (&a1, &Common); } \
|
||||
template<> inline ret cm_ ## name<SuiteSparse_long> (t1& a1, cholmod_common &Common) { return cholmod_l_ ## name (&a1, &Common); }
|
||||
|
||||
EIGEN_CHOLMOD_SPECIALIZE0(int, start)
|
||||
EIGEN_CHOLMOD_SPECIALIZE0(int, finish)
|
||||
|
||||
EIGEN_CHOLMOD_SPECIALIZE1(int, free_factor, cholmod_factor*, L)
|
||||
EIGEN_CHOLMOD_SPECIALIZE1(int, free_dense, cholmod_dense*, X)
|
||||
EIGEN_CHOLMOD_SPECIALIZE1(int, free_sparse, cholmod_sparse*, A)
|
||||
|
||||
EIGEN_CHOLMOD_SPECIALIZE1(cholmod_factor*, analyze, cholmod_sparse, A)
|
||||
|
||||
template<typename _StorageIndex> inline cholmod_dense* cm_solve (int sys, cholmod_factor& L, cholmod_dense& B, cholmod_common &Common) { return cholmod_solve (sys, &L, &B, &Common); }
|
||||
template<> inline cholmod_dense* cm_solve<SuiteSparse_long> (int sys, cholmod_factor& L, cholmod_dense& B, cholmod_common &Common) { return cholmod_l_solve (sys, &L, &B, &Common); }
|
||||
|
||||
template<typename _StorageIndex> inline cholmod_sparse* cm_spsolve (int sys, cholmod_factor& L, cholmod_sparse& B, cholmod_common &Common) { return cholmod_spsolve (sys, &L, &B, &Common); }
|
||||
template<> inline cholmod_sparse* cm_spsolve<SuiteSparse_long> (int sys, cholmod_factor& L, cholmod_sparse& B, cholmod_common &Common) { return cholmod_l_spsolve (sys, &L, &B, &Common); }
|
||||
|
||||
template<typename _StorageIndex>
|
||||
inline int cm_factorize_p (cholmod_sparse* A, double beta[2], _StorageIndex* fset, std::size_t fsize, cholmod_factor* L, cholmod_common &Common) { return cholmod_factorize_p (A, beta, fset, fsize, L, &Common); }
|
||||
template<>
|
||||
inline int cm_factorize_p<SuiteSparse_long> (cholmod_sparse* A, double beta[2], SuiteSparse_long* fset, std::size_t fsize, cholmod_factor* L, cholmod_common &Common) { return cholmod_l_factorize_p (A, beta, fset, fsize, L, &Common); }
|
||||
|
||||
#undef EIGEN_CHOLMOD_SPECIALIZE0
|
||||
#undef EIGEN_CHOLMOD_SPECIALIZE1
|
||||
|
||||
} // namespace internal
|
||||
|
||||
|
||||
enum CholmodMode {
|
||||
CholmodAuto, CholmodSimplicialLLt, CholmodSupernodalLLt, CholmodLDLt
|
||||
};
|
||||
|
||||
|
||||
/** \ingroup CholmodSupport_Module
|
||||
* \class CholmodBase
|
||||
* \brief The base class for the direct Cholesky factorization of Cholmod
|
||||
* \sa class CholmodSupernodalLLT, class CholmodSimplicialLDLT, class CholmodSimplicialLLT
|
||||
*/
|
||||
template<typename _MatrixType, int _UpLo, typename Derived>
|
||||
class CholmodBase : public SparseSolverBase<Derived>
|
||||
{
|
||||
protected:
|
||||
typedef SparseSolverBase<Derived> Base;
|
||||
using Base::derived;
|
||||
using Base::m_isInitialized;
|
||||
public:
|
||||
typedef _MatrixType MatrixType;
|
||||
enum { UpLo = _UpLo };
|
||||
typedef typename MatrixType::Scalar Scalar;
|
||||
typedef typename MatrixType::RealScalar RealScalar;
|
||||
typedef MatrixType CholMatrixType;
|
||||
typedef typename MatrixType::StorageIndex StorageIndex;
|
||||
enum {
|
||||
ColsAtCompileTime = MatrixType::ColsAtCompileTime,
|
||||
MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime
|
||||
};
|
||||
|
||||
public:
|
||||
|
||||
CholmodBase()
|
||||
: m_cholmodFactor(0), m_info(Success), m_factorizationIsOk(false), m_analysisIsOk(false)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT((internal::is_same<double,RealScalar>::value), CHOLMOD_SUPPORTS_DOUBLE_PRECISION_ONLY);
|
||||
m_shiftOffset[0] = m_shiftOffset[1] = 0.0;
|
||||
internal::cm_start<StorageIndex>(m_cholmod);
|
||||
}
|
||||
|
||||
explicit CholmodBase(const MatrixType& matrix)
|
||||
: m_cholmodFactor(0), m_info(Success), m_factorizationIsOk(false), m_analysisIsOk(false)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT((internal::is_same<double,RealScalar>::value), CHOLMOD_SUPPORTS_DOUBLE_PRECISION_ONLY);
|
||||
m_shiftOffset[0] = m_shiftOffset[1] = 0.0;
|
||||
internal::cm_start<StorageIndex>(m_cholmod);
|
||||
compute(matrix);
|
||||
}
|
||||
|
||||
~CholmodBase()
|
||||
{
|
||||
if(m_cholmodFactor)
|
||||
internal::cm_free_factor<StorageIndex>(m_cholmodFactor, m_cholmod);
|
||||
internal::cm_finish<StorageIndex>(m_cholmod);
|
||||
}
|
||||
|
||||
inline StorageIndex cols() const { return internal::convert_index<StorageIndex, Index>(m_cholmodFactor->n); }
|
||||
inline StorageIndex rows() const { return internal::convert_index<StorageIndex, Index>(m_cholmodFactor->n); }
|
||||
|
||||
/** \brief Reports whether previous computation was successful.
|
||||
*
|
||||
* \returns \c Success if computation was successful,
|
||||
* \c NumericalIssue if the matrix.appears to be negative.
|
||||
*/
|
||||
ComputationInfo info() const
|
||||
{
|
||||
eigen_assert(m_isInitialized && "Decomposition is not initialized.");
|
||||
return m_info;
|
||||
}
|
||||
|
||||
/** Computes the sparse Cholesky decomposition of \a matrix */
|
||||
Derived& compute(const MatrixType& matrix)
|
||||
{
|
||||
analyzePattern(matrix);
|
||||
factorize(matrix);
|
||||
return derived();
|
||||
}
|
||||
|
||||
/** Performs a symbolic decomposition on the sparsity pattern of \a matrix.
|
||||
*
|
||||
* This function is particularly useful when solving for several problems having the same structure.
|
||||
*
|
||||
* \sa factorize()
|
||||
*/
|
||||
void analyzePattern(const MatrixType& matrix)
|
||||
{
|
||||
if(m_cholmodFactor)
|
||||
{
|
||||
internal::cm_free_factor<StorageIndex>(m_cholmodFactor, m_cholmod);
|
||||
m_cholmodFactor = 0;
|
||||
}
|
||||
cholmod_sparse A = viewAsCholmod(matrix.template selfadjointView<UpLo>());
|
||||
m_cholmodFactor = internal::cm_analyze<StorageIndex>(A, m_cholmod);
|
||||
|
||||
this->m_isInitialized = true;
|
||||
this->m_info = Success;
|
||||
m_analysisIsOk = true;
|
||||
m_factorizationIsOk = false;
|
||||
}
|
||||
|
||||
/** Performs a numeric decomposition of \a matrix
|
||||
*
|
||||
* The given matrix must have the same sparsity pattern as the matrix on which the symbolic decomposition has been performed.
|
||||
*
|
||||
* \sa analyzePattern()
|
||||
*/
|
||||
void factorize(const MatrixType& matrix)
|
||||
{
|
||||
eigen_assert(m_analysisIsOk && "You must first call analyzePattern()");
|
||||
cholmod_sparse A = viewAsCholmod(matrix.template selfadjointView<UpLo>());
|
||||
internal::cm_factorize_p<StorageIndex>(&A, m_shiftOffset, 0, 0, m_cholmodFactor, m_cholmod);
|
||||
|
||||
// If the factorization failed, minor is the column at which it did. On success minor == n.
|
||||
this->m_info = (m_cholmodFactor->minor == m_cholmodFactor->n ? Success : NumericalIssue);
|
||||
m_factorizationIsOk = true;
|
||||
}
|
||||
|
||||
/** Returns a reference to the Cholmod's configuration structure to get a full control over the performed operations.
|
||||
* See the Cholmod user guide for details. */
|
||||
cholmod_common& cholmod() { return m_cholmod; }
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
/** \internal */
|
||||
template<typename Rhs,typename Dest>
|
||||
void _solve_impl(const MatrixBase<Rhs> &b, MatrixBase<Dest> &dest) const
|
||||
{
|
||||
eigen_assert(m_factorizationIsOk && "The decomposition is not in a valid state for solving, you must first call either compute() or symbolic()/numeric()");
|
||||
const Index size = m_cholmodFactor->n;
|
||||
EIGEN_UNUSED_VARIABLE(size);
|
||||
eigen_assert(size==b.rows());
|
||||
|
||||
// Cholmod needs column-major storage without inner-stride, which corresponds to the default behavior of Ref.
|
||||
Ref<const Matrix<typename Rhs::Scalar,Dynamic,Dynamic,ColMajor> > b_ref(b.derived());
|
||||
|
||||
cholmod_dense b_cd = viewAsCholmod(b_ref);
|
||||
cholmod_dense* x_cd = internal::cm_solve<StorageIndex>(CHOLMOD_A, *m_cholmodFactor, b_cd, m_cholmod);
|
||||
if(!x_cd)
|
||||
{
|
||||
this->m_info = NumericalIssue;
|
||||
return;
|
||||
}
|
||||
// TODO optimize this copy by swapping when possible (be careful with alignment, etc.)
|
||||
// NOTE Actually, the copy can be avoided by calling cholmod_solve2 instead of cholmod_solve
|
||||
dest = Matrix<Scalar,Dest::RowsAtCompileTime,Dest::ColsAtCompileTime>::Map(reinterpret_cast<Scalar*>(x_cd->x),b.rows(),b.cols());
|
||||
internal::cm_free_dense<StorageIndex>(x_cd, m_cholmod);
|
||||
}
|
||||
|
||||
/** \internal */
|
||||
template<typename RhsDerived, typename DestDerived>
|
||||
void _solve_impl(const SparseMatrixBase<RhsDerived> &b, SparseMatrixBase<DestDerived> &dest) const
|
||||
{
|
||||
eigen_assert(m_factorizationIsOk && "The decomposition is not in a valid state for solving, you must first call either compute() or symbolic()/numeric()");
|
||||
const Index size = m_cholmodFactor->n;
|
||||
EIGEN_UNUSED_VARIABLE(size);
|
||||
eigen_assert(size==b.rows());
|
||||
|
||||
// note: cs stands for Cholmod Sparse
|
||||
Ref<SparseMatrix<typename RhsDerived::Scalar,ColMajor,typename RhsDerived::StorageIndex> > b_ref(b.const_cast_derived());
|
||||
cholmod_sparse b_cs = viewAsCholmod(b_ref);
|
||||
cholmod_sparse* x_cs = internal::cm_spsolve<StorageIndex>(CHOLMOD_A, *m_cholmodFactor, b_cs, m_cholmod);
|
||||
if(!x_cs)
|
||||
{
|
||||
this->m_info = NumericalIssue;
|
||||
return;
|
||||
}
|
||||
// TODO optimize this copy by swapping when possible (be careful with alignment, etc.)
|
||||
// NOTE cholmod_spsolve in fact just calls the dense solver for blocks of 4 columns at a time (similar to Eigen's sparse solver)
|
||||
dest.derived() = viewAsEigen<typename DestDerived::Scalar,ColMajor,typename DestDerived::StorageIndex>(*x_cs);
|
||||
internal::cm_free_sparse<StorageIndex>(x_cs, m_cholmod);
|
||||
}
|
||||
#endif // EIGEN_PARSED_BY_DOXYGEN
|
||||
|
||||
|
||||
/** Sets the shift parameter that will be used to adjust the diagonal coefficients during the numerical factorization.
|
||||
*
|
||||
* During the numerical factorization, an offset term is added to the diagonal coefficients:\n
|
||||
* \c d_ii = \a offset + \c d_ii
|
||||
*
|
||||
* The default is \a offset=0.
|
||||
*
|
||||
* \returns a reference to \c *this.
|
||||
*/
|
||||
Derived& setShift(const RealScalar& offset)
|
||||
{
|
||||
m_shiftOffset[0] = double(offset);
|
||||
return derived();
|
||||
}
|
||||
|
||||
/** \returns the determinant of the underlying matrix from the current factorization */
|
||||
Scalar determinant() const
|
||||
{
|
||||
using std::exp;
|
||||
return exp(logDeterminant());
|
||||
}
|
||||
|
||||
/** \returns the log determinant of the underlying matrix from the current factorization */
|
||||
Scalar logDeterminant() const
|
||||
{
|
||||
using std::log;
|
||||
using numext::real;
|
||||
eigen_assert(m_factorizationIsOk && "The decomposition is not in a valid state for solving, you must first call either compute() or symbolic()/numeric()");
|
||||
|
||||
RealScalar logDet = 0;
|
||||
Scalar *x = static_cast<Scalar*>(m_cholmodFactor->x);
|
||||
if (m_cholmodFactor->is_super)
|
||||
{
|
||||
// Supernodal factorization stored as a packed list of dense column-major blocs,
|
||||
// as described by the following structure:
|
||||
|
||||
// super[k] == index of the first column of the j-th super node
|
||||
StorageIndex *super = static_cast<StorageIndex*>(m_cholmodFactor->super);
|
||||
// pi[k] == offset to the description of row indices
|
||||
StorageIndex *pi = static_cast<StorageIndex*>(m_cholmodFactor->pi);
|
||||
// px[k] == offset to the respective dense block
|
||||
StorageIndex *px = static_cast<StorageIndex*>(m_cholmodFactor->px);
|
||||
|
||||
Index nb_super_nodes = m_cholmodFactor->nsuper;
|
||||
for (Index k=0; k < nb_super_nodes; ++k)
|
||||
{
|
||||
StorageIndex ncols = super[k + 1] - super[k];
|
||||
StorageIndex nrows = pi[k + 1] - pi[k];
|
||||
|
||||
Map<const Array<Scalar,1,Dynamic>, 0, InnerStride<> > sk(x + px[k], ncols, InnerStride<>(nrows+1));
|
||||
logDet += sk.real().log().sum();
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
// Simplicial factorization stored as standard CSC matrix.
|
||||
StorageIndex *p = static_cast<StorageIndex*>(m_cholmodFactor->p);
|
||||
Index size = m_cholmodFactor->n;
|
||||
for (Index k=0; k<size; ++k)
|
||||
logDet += log(real( x[p[k]] ));
|
||||
}
|
||||
if (m_cholmodFactor->is_ll)
|
||||
logDet *= 2.0;
|
||||
return logDet;
|
||||
};
|
||||
|
||||
template<typename Stream>
|
||||
void dumpMemory(Stream& /*s*/)
|
||||
{}
|
||||
|
||||
protected:
|
||||
mutable cholmod_common m_cholmod;
|
||||
cholmod_factor* m_cholmodFactor;
|
||||
double m_shiftOffset[2];
|
||||
mutable ComputationInfo m_info;
|
||||
int m_factorizationIsOk;
|
||||
int m_analysisIsOk;
|
||||
};
|
||||
|
||||
/** \ingroup CholmodSupport_Module
|
||||
* \class CholmodSimplicialLLT
|
||||
* \brief A simplicial direct Cholesky (LLT) factorization and solver based on Cholmod
|
||||
*
|
||||
* This class allows to solve for A.X = B sparse linear problems via a simplicial LL^T Cholesky factorization
|
||||
* using the Cholmod library.
|
||||
* This simplicial variant is equivalent to Eigen's built-in SimplicialLLT class. Therefore, it has little practical interest.
|
||||
* The sparse matrix A must be selfadjoint and positive definite. The vectors or matrices
|
||||
* X and B can be either dense or sparse.
|
||||
*
|
||||
* \tparam _MatrixType the type of the sparse matrix A, it must be a SparseMatrix<>
|
||||
* \tparam _UpLo the triangular part that will be used for the computations. It can be Lower
|
||||
* or Upper. Default is Lower.
|
||||
*
|
||||
* \implsparsesolverconcept
|
||||
*
|
||||
* This class supports all kind of SparseMatrix<>: row or column major; upper, lower, or both; compressed or non compressed.
|
||||
*
|
||||
* \warning Only double precision real and complex scalar types are supported by Cholmod.
|
||||
*
|
||||
* \sa \ref TutorialSparseSolverConcept, class CholmodSupernodalLLT, class SimplicialLLT
|
||||
*/
|
||||
template<typename _MatrixType, int _UpLo = Lower>
|
||||
class CholmodSimplicialLLT : public CholmodBase<_MatrixType, _UpLo, CholmodSimplicialLLT<_MatrixType, _UpLo> >
|
||||
{
|
||||
typedef CholmodBase<_MatrixType, _UpLo, CholmodSimplicialLLT> Base;
|
||||
using Base::m_cholmod;
|
||||
|
||||
public:
|
||||
|
||||
typedef _MatrixType MatrixType;
|
||||
|
||||
CholmodSimplicialLLT() : Base() { init(); }
|
||||
|
||||
CholmodSimplicialLLT(const MatrixType& matrix) : Base()
|
||||
{
|
||||
init();
|
||||
this->compute(matrix);
|
||||
}
|
||||
|
||||
~CholmodSimplicialLLT() {}
|
||||
protected:
|
||||
void init()
|
||||
{
|
||||
m_cholmod.final_asis = 0;
|
||||
m_cholmod.supernodal = CHOLMOD_SIMPLICIAL;
|
||||
m_cholmod.final_ll = 1;
|
||||
}
|
||||
};
|
||||
|
||||
|
||||
/** \ingroup CholmodSupport_Module
|
||||
* \class CholmodSimplicialLDLT
|
||||
* \brief A simplicial direct Cholesky (LDLT) factorization and solver based on Cholmod
|
||||
*
|
||||
* This class allows to solve for A.X = B sparse linear problems via a simplicial LDL^T Cholesky factorization
|
||||
* using the Cholmod library.
|
||||
* This simplicial variant is equivalent to Eigen's built-in SimplicialLDLT class. Therefore, it has little practical interest.
|
||||
* The sparse matrix A must be selfadjoint and positive definite. The vectors or matrices
|
||||
* X and B can be either dense or sparse.
|
||||
*
|
||||
* \tparam _MatrixType the type of the sparse matrix A, it must be a SparseMatrix<>
|
||||
* \tparam _UpLo the triangular part that will be used for the computations. It can be Lower
|
||||
* or Upper. Default is Lower.
|
||||
*
|
||||
* \implsparsesolverconcept
|
||||
*
|
||||
* This class supports all kind of SparseMatrix<>: row or column major; upper, lower, or both; compressed or non compressed.
|
||||
*
|
||||
* \warning Only double precision real and complex scalar types are supported by Cholmod.
|
||||
*
|
||||
* \sa \ref TutorialSparseSolverConcept, class CholmodSupernodalLLT, class SimplicialLDLT
|
||||
*/
|
||||
template<typename _MatrixType, int _UpLo = Lower>
|
||||
class CholmodSimplicialLDLT : public CholmodBase<_MatrixType, _UpLo, CholmodSimplicialLDLT<_MatrixType, _UpLo> >
|
||||
{
|
||||
typedef CholmodBase<_MatrixType, _UpLo, CholmodSimplicialLDLT> Base;
|
||||
using Base::m_cholmod;
|
||||
|
||||
public:
|
||||
|
||||
typedef _MatrixType MatrixType;
|
||||
|
||||
CholmodSimplicialLDLT() : Base() { init(); }
|
||||
|
||||
CholmodSimplicialLDLT(const MatrixType& matrix) : Base()
|
||||
{
|
||||
init();
|
||||
this->compute(matrix);
|
||||
}
|
||||
|
||||
~CholmodSimplicialLDLT() {}
|
||||
protected:
|
||||
void init()
|
||||
{
|
||||
m_cholmod.final_asis = 1;
|
||||
m_cholmod.supernodal = CHOLMOD_SIMPLICIAL;
|
||||
}
|
||||
};
|
||||
|
||||
/** \ingroup CholmodSupport_Module
|
||||
* \class CholmodSupernodalLLT
|
||||
* \brief A supernodal Cholesky (LLT) factorization and solver based on Cholmod
|
||||
*
|
||||
* This class allows to solve for A.X = B sparse linear problems via a supernodal LL^T Cholesky factorization
|
||||
* using the Cholmod library.
|
||||
* This supernodal variant performs best on dense enough problems, e.g., 3D FEM, or very high order 2D FEM.
|
||||
* The sparse matrix A must be selfadjoint and positive definite. The vectors or matrices
|
||||
* X and B can be either dense or sparse.
|
||||
*
|
||||
* \tparam _MatrixType the type of the sparse matrix A, it must be a SparseMatrix<>
|
||||
* \tparam _UpLo the triangular part that will be used for the computations. It can be Lower
|
||||
* or Upper. Default is Lower.
|
||||
*
|
||||
* \implsparsesolverconcept
|
||||
*
|
||||
* This class supports all kind of SparseMatrix<>: row or column major; upper, lower, or both; compressed or non compressed.
|
||||
*
|
||||
* \warning Only double precision real and complex scalar types are supported by Cholmod.
|
||||
*
|
||||
* \sa \ref TutorialSparseSolverConcept
|
||||
*/
|
||||
template<typename _MatrixType, int _UpLo = Lower>
|
||||
class CholmodSupernodalLLT : public CholmodBase<_MatrixType, _UpLo, CholmodSupernodalLLT<_MatrixType, _UpLo> >
|
||||
{
|
||||
typedef CholmodBase<_MatrixType, _UpLo, CholmodSupernodalLLT> Base;
|
||||
using Base::m_cholmod;
|
||||
|
||||
public:
|
||||
|
||||
typedef _MatrixType MatrixType;
|
||||
|
||||
CholmodSupernodalLLT() : Base() { init(); }
|
||||
|
||||
CholmodSupernodalLLT(const MatrixType& matrix) : Base()
|
||||
{
|
||||
init();
|
||||
this->compute(matrix);
|
||||
}
|
||||
|
||||
~CholmodSupernodalLLT() {}
|
||||
protected:
|
||||
void init()
|
||||
{
|
||||
m_cholmod.final_asis = 1;
|
||||
m_cholmod.supernodal = CHOLMOD_SUPERNODAL;
|
||||
}
|
||||
};
|
||||
|
||||
/** \ingroup CholmodSupport_Module
|
||||
* \class CholmodDecomposition
|
||||
* \brief A general Cholesky factorization and solver based on Cholmod
|
||||
*
|
||||
* This class allows to solve for A.X = B sparse linear problems via a LL^T or LDL^T Cholesky factorization
|
||||
* using the Cholmod library. The sparse matrix A must be selfadjoint and positive definite. The vectors or matrices
|
||||
* X and B can be either dense or sparse.
|
||||
*
|
||||
* This variant permits to change the underlying Cholesky method at runtime.
|
||||
* On the other hand, it does not provide access to the result of the factorization.
|
||||
* The default is to let Cholmod automatically choose between a simplicial and supernodal factorization.
|
||||
*
|
||||
* \tparam _MatrixType the type of the sparse matrix A, it must be a SparseMatrix<>
|
||||
* \tparam _UpLo the triangular part that will be used for the computations. It can be Lower
|
||||
* or Upper. Default is Lower.
|
||||
*
|
||||
* \implsparsesolverconcept
|
||||
*
|
||||
* This class supports all kind of SparseMatrix<>: row or column major; upper, lower, or both; compressed or non compressed.
|
||||
*
|
||||
* \warning Only double precision real and complex scalar types are supported by Cholmod.
|
||||
*
|
||||
* \sa \ref TutorialSparseSolverConcept
|
||||
*/
|
||||
template<typename _MatrixType, int _UpLo = Lower>
|
||||
class CholmodDecomposition : public CholmodBase<_MatrixType, _UpLo, CholmodDecomposition<_MatrixType, _UpLo> >
|
||||
{
|
||||
typedef CholmodBase<_MatrixType, _UpLo, CholmodDecomposition> Base;
|
||||
using Base::m_cholmod;
|
||||
|
||||
public:
|
||||
|
||||
typedef _MatrixType MatrixType;
|
||||
|
||||
CholmodDecomposition() : Base() { init(); }
|
||||
|
||||
CholmodDecomposition(const MatrixType& matrix) : Base()
|
||||
{
|
||||
init();
|
||||
this->compute(matrix);
|
||||
}
|
||||
|
||||
~CholmodDecomposition() {}
|
||||
|
||||
void setMode(CholmodMode mode)
|
||||
{
|
||||
switch(mode)
|
||||
{
|
||||
case CholmodAuto:
|
||||
m_cholmod.final_asis = 1;
|
||||
m_cholmod.supernodal = CHOLMOD_AUTO;
|
||||
break;
|
||||
case CholmodSimplicialLLt:
|
||||
m_cholmod.final_asis = 0;
|
||||
m_cholmod.supernodal = CHOLMOD_SIMPLICIAL;
|
||||
m_cholmod.final_ll = 1;
|
||||
break;
|
||||
case CholmodSupernodalLLt:
|
||||
m_cholmod.final_asis = 1;
|
||||
m_cholmod.supernodal = CHOLMOD_SUPERNODAL;
|
||||
break;
|
||||
case CholmodLDLt:
|
||||
m_cholmod.final_asis = 1;
|
||||
m_cholmod.supernodal = CHOLMOD_SIMPLICIAL;
|
||||
break;
|
||||
default:
|
||||
break;
|
||||
}
|
||||
}
|
||||
protected:
|
||||
void init()
|
||||
{
|
||||
m_cholmod.final_asis = 1;
|
||||
m_cholmod.supernodal = CHOLMOD_AUTO;
|
||||
}
|
||||
};
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_CHOLMODSUPPORT_H
|
||||
|
|
@ -0,0 +1,413 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2017 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_ARITHMETIC_SEQUENCE_H
|
||||
#define EIGEN_ARITHMETIC_SEQUENCE_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
|
||||
#if (!EIGEN_HAS_CXX11) || !((!EIGEN_COMP_GNUC) || EIGEN_COMP_GNUC>=48)
|
||||
template<typename T> struct aseq_negate {};
|
||||
|
||||
template<> struct aseq_negate<Index> {
|
||||
typedef Index type;
|
||||
};
|
||||
|
||||
template<int N> struct aseq_negate<FixedInt<N> > {
|
||||
typedef FixedInt<-N> type;
|
||||
};
|
||||
|
||||
// Compilation error in the following case:
|
||||
template<> struct aseq_negate<FixedInt<DynamicIndex> > {};
|
||||
|
||||
template<typename FirstType,typename SizeType,typename IncrType,
|
||||
bool FirstIsSymbolic=symbolic::is_symbolic<FirstType>::value,
|
||||
bool SizeIsSymbolic =symbolic::is_symbolic<SizeType>::value>
|
||||
struct aseq_reverse_first_type {
|
||||
typedef Index type;
|
||||
};
|
||||
|
||||
template<typename FirstType,typename SizeType,typename IncrType>
|
||||
struct aseq_reverse_first_type<FirstType,SizeType,IncrType,true,true> {
|
||||
typedef symbolic::AddExpr<FirstType,
|
||||
symbolic::ProductExpr<symbolic::AddExpr<SizeType,symbolic::ValueExpr<FixedInt<-1> > >,
|
||||
symbolic::ValueExpr<IncrType> >
|
||||
> type;
|
||||
};
|
||||
|
||||
template<typename SizeType,typename IncrType,typename EnableIf = void>
|
||||
struct aseq_reverse_first_type_aux {
|
||||
typedef Index type;
|
||||
};
|
||||
|
||||
template<typename SizeType,typename IncrType>
|
||||
struct aseq_reverse_first_type_aux<SizeType,IncrType,typename internal::enable_if<bool((SizeType::value+IncrType::value)|0x1)>::type> {
|
||||
typedef FixedInt<(SizeType::value-1)*IncrType::value> type;
|
||||
};
|
||||
|
||||
template<typename FirstType,typename SizeType,typename IncrType>
|
||||
struct aseq_reverse_first_type<FirstType,SizeType,IncrType,true,false> {
|
||||
typedef typename aseq_reverse_first_type_aux<SizeType,IncrType>::type Aux;
|
||||
typedef symbolic::AddExpr<FirstType,symbolic::ValueExpr<Aux> > type;
|
||||
};
|
||||
|
||||
template<typename FirstType,typename SizeType,typename IncrType>
|
||||
struct aseq_reverse_first_type<FirstType,SizeType,IncrType,false,true> {
|
||||
typedef symbolic::AddExpr<symbolic::ProductExpr<symbolic::AddExpr<SizeType,symbolic::ValueExpr<FixedInt<-1> > >,
|
||||
symbolic::ValueExpr<IncrType> >,
|
||||
symbolic::ValueExpr<> > type;
|
||||
};
|
||||
#endif
|
||||
|
||||
// Helper to cleanup the type of the increment:
|
||||
template<typename T> struct cleanup_seq_incr {
|
||||
typedef typename cleanup_index_type<T,DynamicIndex>::type type;
|
||||
};
|
||||
|
||||
}
|
||||
|
||||
//--------------------------------------------------------------------------------
|
||||
// seq(first,last,incr) and seqN(first,size,incr)
|
||||
//--------------------------------------------------------------------------------
|
||||
|
||||
template<typename FirstType=Index,typename SizeType=Index,typename IncrType=internal::FixedInt<1> >
|
||||
class ArithmeticSequence;
|
||||
|
||||
template<typename FirstType,typename SizeType,typename IncrType>
|
||||
ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type,
|
||||
typename internal::cleanup_index_type<SizeType>::type,
|
||||
typename internal::cleanup_seq_incr<IncrType>::type >
|
||||
seqN(FirstType first, SizeType size, IncrType incr);
|
||||
|
||||
/** \class ArithmeticSequence
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* This class represents an arithmetic progression \f$ a_0, a_1, a_2, ..., a_{n-1}\f$ defined by
|
||||
* its \em first value \f$ a_0 \f$, its \em size (aka length) \em n, and the \em increment (aka stride)
|
||||
* that is equal to \f$ a_{i+1}-a_{i}\f$ for any \em i.
|
||||
*
|
||||
* It is internally used as the return type of the Eigen::seq and Eigen::seqN functions, and as the input arguments
|
||||
* of DenseBase::operator()(const RowIndices&, const ColIndices&), and most of the time this is the
|
||||
* only way it is used.
|
||||
*
|
||||
* \tparam FirstType type of the first element, usually an Index,
|
||||
* but internally it can be a symbolic expression
|
||||
* \tparam SizeType type representing the size of the sequence, usually an Index
|
||||
* or a compile time integral constant. Internally, it can also be a symbolic expression
|
||||
* \tparam IncrType type of the increment, can be a runtime Index, or a compile time integral constant (default is compile-time 1)
|
||||
*
|
||||
* \sa Eigen::seq, Eigen::seqN, DenseBase::operator()(const RowIndices&, const ColIndices&), class IndexedView
|
||||
*/
|
||||
template<typename FirstType,typename SizeType,typename IncrType>
|
||||
class ArithmeticSequence
|
||||
{
|
||||
public:
|
||||
ArithmeticSequence(FirstType first, SizeType size) : m_first(first), m_size(size) {}
|
||||
ArithmeticSequence(FirstType first, SizeType size, IncrType incr) : m_first(first), m_size(size), m_incr(incr) {}
|
||||
|
||||
enum {
|
||||
SizeAtCompileTime = internal::get_fixed_value<SizeType>::value,
|
||||
IncrAtCompileTime = internal::get_fixed_value<IncrType,DynamicIndex>::value
|
||||
};
|
||||
|
||||
/** \returns the size, i.e., number of elements, of the sequence */
|
||||
Index size() const { return m_size; }
|
||||
|
||||
/** \returns the first element \f$ a_0 \f$ in the sequence */
|
||||
Index first() const { return m_first; }
|
||||
|
||||
/** \returns the value \f$ a_i \f$ at index \a i in the sequence. */
|
||||
Index operator[](Index i) const { return m_first + i * m_incr; }
|
||||
|
||||
const FirstType& firstObject() const { return m_first; }
|
||||
const SizeType& sizeObject() const { return m_size; }
|
||||
const IncrType& incrObject() const { return m_incr; }
|
||||
|
||||
protected:
|
||||
FirstType m_first;
|
||||
SizeType m_size;
|
||||
IncrType m_incr;
|
||||
|
||||
public:
|
||||
|
||||
#if EIGEN_HAS_CXX11 && ((!EIGEN_COMP_GNUC) || EIGEN_COMP_GNUC>=48)
|
||||
auto reverse() const -> decltype(Eigen::seqN(m_first+(m_size+fix<-1>())*m_incr,m_size,-m_incr)) {
|
||||
return seqN(m_first+(m_size+fix<-1>())*m_incr,m_size,-m_incr);
|
||||
}
|
||||
#else
|
||||
protected:
|
||||
typedef typename internal::aseq_negate<IncrType>::type ReverseIncrType;
|
||||
typedef typename internal::aseq_reverse_first_type<FirstType,SizeType,IncrType>::type ReverseFirstType;
|
||||
public:
|
||||
ArithmeticSequence<ReverseFirstType,SizeType,ReverseIncrType>
|
||||
reverse() const {
|
||||
return seqN(m_first+(m_size+fix<-1>())*m_incr,m_size,-m_incr);
|
||||
}
|
||||
#endif
|
||||
};
|
||||
|
||||
/** \returns an ArithmeticSequence starting at \a first, of length \a size, and increment \a incr
|
||||
*
|
||||
* \sa seqN(FirstType,SizeType), seq(FirstType,LastType,IncrType) */
|
||||
template<typename FirstType,typename SizeType,typename IncrType>
|
||||
ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type,typename internal::cleanup_index_type<SizeType>::type,typename internal::cleanup_seq_incr<IncrType>::type >
|
||||
seqN(FirstType first, SizeType size, IncrType incr) {
|
||||
return ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type,typename internal::cleanup_index_type<SizeType>::type,typename internal::cleanup_seq_incr<IncrType>::type>(first,size,incr);
|
||||
}
|
||||
|
||||
/** \returns an ArithmeticSequence starting at \a first, of length \a size, and unit increment
|
||||
*
|
||||
* \sa seqN(FirstType,SizeType,IncrType), seq(FirstType,LastType) */
|
||||
template<typename FirstType,typename SizeType>
|
||||
ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type,typename internal::cleanup_index_type<SizeType>::type >
|
||||
seqN(FirstType first, SizeType size) {
|
||||
return ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type,typename internal::cleanup_index_type<SizeType>::type>(first,size);
|
||||
}
|
||||
|
||||
#ifdef EIGEN_PARSED_BY_DOXYGEN
|
||||
|
||||
/** \returns an ArithmeticSequence starting at \a f, up (or down) to \a l, and with positive (or negative) increment \a incr
|
||||
*
|
||||
* It is essentially an alias to:
|
||||
* \code
|
||||
* seqN(f, (l-f+incr)/incr, incr);
|
||||
* \endcode
|
||||
*
|
||||
* \sa seqN(FirstType,SizeType,IncrType), seq(FirstType,LastType)
|
||||
*/
|
||||
template<typename FirstType,typename LastType, typename IncrType>
|
||||
auto seq(FirstType f, LastType l, IncrType incr);
|
||||
|
||||
/** \returns an ArithmeticSequence starting at \a f, up (or down) to \a l, and unit increment
|
||||
*
|
||||
* It is essentially an alias to:
|
||||
* \code
|
||||
* seqN(f,l-f+1);
|
||||
* \endcode
|
||||
*
|
||||
* \sa seqN(FirstType,SizeType), seq(FirstType,LastType,IncrType)
|
||||
*/
|
||||
template<typename FirstType,typename LastType>
|
||||
auto seq(FirstType f, LastType l);
|
||||
|
||||
#else // EIGEN_PARSED_BY_DOXYGEN
|
||||
|
||||
#if EIGEN_HAS_CXX11
|
||||
template<typename FirstType,typename LastType>
|
||||
auto seq(FirstType f, LastType l) -> decltype(seqN(typename internal::cleanup_index_type<FirstType>::type(f),
|
||||
( typename internal::cleanup_index_type<LastType>::type(l)
|
||||
- typename internal::cleanup_index_type<FirstType>::type(f)+fix<1>())))
|
||||
{
|
||||
return seqN(typename internal::cleanup_index_type<FirstType>::type(f),
|
||||
(typename internal::cleanup_index_type<LastType>::type(l)
|
||||
-typename internal::cleanup_index_type<FirstType>::type(f)+fix<1>()));
|
||||
}
|
||||
|
||||
template<typename FirstType,typename LastType, typename IncrType>
|
||||
auto seq(FirstType f, LastType l, IncrType incr)
|
||||
-> decltype(seqN(typename internal::cleanup_index_type<FirstType>::type(f),
|
||||
( typename internal::cleanup_index_type<LastType>::type(l)
|
||||
- typename internal::cleanup_index_type<FirstType>::type(f)+typename internal::cleanup_seq_incr<IncrType>::type(incr)
|
||||
) / typename internal::cleanup_seq_incr<IncrType>::type(incr),
|
||||
typename internal::cleanup_seq_incr<IncrType>::type(incr)))
|
||||
{
|
||||
typedef typename internal::cleanup_seq_incr<IncrType>::type CleanedIncrType;
|
||||
return seqN(typename internal::cleanup_index_type<FirstType>::type(f),
|
||||
( typename internal::cleanup_index_type<LastType>::type(l)
|
||||
-typename internal::cleanup_index_type<FirstType>::type(f)+CleanedIncrType(incr)) / CleanedIncrType(incr),
|
||||
CleanedIncrType(incr));
|
||||
}
|
||||
|
||||
#else // EIGEN_HAS_CXX11
|
||||
|
||||
template<typename FirstType,typename LastType>
|
||||
typename internal::enable_if<!(symbolic::is_symbolic<FirstType>::value || symbolic::is_symbolic<LastType>::value),
|
||||
ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type,Index> >::type
|
||||
seq(FirstType f, LastType l)
|
||||
{
|
||||
return seqN(typename internal::cleanup_index_type<FirstType>::type(f),
|
||||
Index((typename internal::cleanup_index_type<LastType>::type(l)-typename internal::cleanup_index_type<FirstType>::type(f)+fix<1>())));
|
||||
}
|
||||
|
||||
template<typename FirstTypeDerived,typename LastType>
|
||||
typename internal::enable_if<!symbolic::is_symbolic<LastType>::value,
|
||||
ArithmeticSequence<FirstTypeDerived, symbolic::AddExpr<symbolic::AddExpr<symbolic::NegateExpr<FirstTypeDerived>,symbolic::ValueExpr<> >,
|
||||
symbolic::ValueExpr<internal::FixedInt<1> > > > >::type
|
||||
seq(const symbolic::BaseExpr<FirstTypeDerived> &f, LastType l)
|
||||
{
|
||||
return seqN(f.derived(),(typename internal::cleanup_index_type<LastType>::type(l)-f.derived()+fix<1>()));
|
||||
}
|
||||
|
||||
template<typename FirstType,typename LastTypeDerived>
|
||||
typename internal::enable_if<!symbolic::is_symbolic<FirstType>::value,
|
||||
ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type,
|
||||
symbolic::AddExpr<symbolic::AddExpr<LastTypeDerived,symbolic::ValueExpr<> >,
|
||||
symbolic::ValueExpr<internal::FixedInt<1> > > > >::type
|
||||
seq(FirstType f, const symbolic::BaseExpr<LastTypeDerived> &l)
|
||||
{
|
||||
return seqN(typename internal::cleanup_index_type<FirstType>::type(f),(l.derived()-typename internal::cleanup_index_type<FirstType>::type(f)+fix<1>()));
|
||||
}
|
||||
|
||||
template<typename FirstTypeDerived,typename LastTypeDerived>
|
||||
ArithmeticSequence<FirstTypeDerived,
|
||||
symbolic::AddExpr<symbolic::AddExpr<LastTypeDerived,symbolic::NegateExpr<FirstTypeDerived> >,symbolic::ValueExpr<internal::FixedInt<1> > > >
|
||||
seq(const symbolic::BaseExpr<FirstTypeDerived> &f, const symbolic::BaseExpr<LastTypeDerived> &l)
|
||||
{
|
||||
return seqN(f.derived(),(l.derived()-f.derived()+fix<1>()));
|
||||
}
|
||||
|
||||
|
||||
template<typename FirstType,typename LastType, typename IncrType>
|
||||
typename internal::enable_if<!(symbolic::is_symbolic<FirstType>::value || symbolic::is_symbolic<LastType>::value),
|
||||
ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type,Index,typename internal::cleanup_seq_incr<IncrType>::type> >::type
|
||||
seq(FirstType f, LastType l, IncrType incr)
|
||||
{
|
||||
typedef typename internal::cleanup_seq_incr<IncrType>::type CleanedIncrType;
|
||||
return seqN(typename internal::cleanup_index_type<FirstType>::type(f),
|
||||
Index((typename internal::cleanup_index_type<LastType>::type(l)-typename internal::cleanup_index_type<FirstType>::type(f)+CleanedIncrType(incr))/CleanedIncrType(incr)), incr);
|
||||
}
|
||||
|
||||
template<typename FirstTypeDerived,typename LastType, typename IncrType>
|
||||
typename internal::enable_if<!symbolic::is_symbolic<LastType>::value,
|
||||
ArithmeticSequence<FirstTypeDerived,
|
||||
symbolic::QuotientExpr<symbolic::AddExpr<symbolic::AddExpr<symbolic::NegateExpr<FirstTypeDerived>,
|
||||
symbolic::ValueExpr<> >,
|
||||
symbolic::ValueExpr<typename internal::cleanup_seq_incr<IncrType>::type> >,
|
||||
symbolic::ValueExpr<typename internal::cleanup_seq_incr<IncrType>::type> >,
|
||||
typename internal::cleanup_seq_incr<IncrType>::type> >::type
|
||||
seq(const symbolic::BaseExpr<FirstTypeDerived> &f, LastType l, IncrType incr)
|
||||
{
|
||||
typedef typename internal::cleanup_seq_incr<IncrType>::type CleanedIncrType;
|
||||
return seqN(f.derived(),(typename internal::cleanup_index_type<LastType>::type(l)-f.derived()+CleanedIncrType(incr))/CleanedIncrType(incr), incr);
|
||||
}
|
||||
|
||||
template<typename FirstType,typename LastTypeDerived, typename IncrType>
|
||||
typename internal::enable_if<!symbolic::is_symbolic<FirstType>::value,
|
||||
ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type,
|
||||
symbolic::QuotientExpr<symbolic::AddExpr<symbolic::AddExpr<LastTypeDerived,symbolic::ValueExpr<> >,
|
||||
symbolic::ValueExpr<typename internal::cleanup_seq_incr<IncrType>::type> >,
|
||||
symbolic::ValueExpr<typename internal::cleanup_seq_incr<IncrType>::type> >,
|
||||
typename internal::cleanup_seq_incr<IncrType>::type> >::type
|
||||
seq(FirstType f, const symbolic::BaseExpr<LastTypeDerived> &l, IncrType incr)
|
||||
{
|
||||
typedef typename internal::cleanup_seq_incr<IncrType>::type CleanedIncrType;
|
||||
return seqN(typename internal::cleanup_index_type<FirstType>::type(f),
|
||||
(l.derived()-typename internal::cleanup_index_type<FirstType>::type(f)+CleanedIncrType(incr))/CleanedIncrType(incr), incr);
|
||||
}
|
||||
|
||||
template<typename FirstTypeDerived,typename LastTypeDerived, typename IncrType>
|
||||
ArithmeticSequence<FirstTypeDerived,
|
||||
symbolic::QuotientExpr<symbolic::AddExpr<symbolic::AddExpr<LastTypeDerived,
|
||||
symbolic::NegateExpr<FirstTypeDerived> >,
|
||||
symbolic::ValueExpr<typename internal::cleanup_seq_incr<IncrType>::type> >,
|
||||
symbolic::ValueExpr<typename internal::cleanup_seq_incr<IncrType>::type> >,
|
||||
typename internal::cleanup_seq_incr<IncrType>::type>
|
||||
seq(const symbolic::BaseExpr<FirstTypeDerived> &f, const symbolic::BaseExpr<LastTypeDerived> &l, IncrType incr)
|
||||
{
|
||||
typedef typename internal::cleanup_seq_incr<IncrType>::type CleanedIncrType;
|
||||
return seqN(f.derived(),(l.derived()-f.derived()+CleanedIncrType(incr))/CleanedIncrType(incr), incr);
|
||||
}
|
||||
#endif // EIGEN_HAS_CXX11
|
||||
|
||||
#endif // EIGEN_PARSED_BY_DOXYGEN
|
||||
|
||||
|
||||
#if EIGEN_HAS_CXX11 || defined(EIGEN_PARSED_BY_DOXYGEN)
|
||||
/** \cpp11
|
||||
* \returns a symbolic ArithmeticSequence representing the last \a size elements with increment \a incr.
|
||||
*
|
||||
* It is a shortcut for: \code seqN(last-(size-fix<1>)*incr, size, incr) \endcode
|
||||
*
|
||||
* \sa lastN(SizeType), seqN(FirstType,SizeType), seq(FirstType,LastType,IncrType) */
|
||||
template<typename SizeType,typename IncrType>
|
||||
auto lastN(SizeType size, IncrType incr)
|
||||
-> decltype(seqN(Eigen::last-(size-fix<1>())*incr, size, incr))
|
||||
{
|
||||
return seqN(Eigen::last-(size-fix<1>())*incr, size, incr);
|
||||
}
|
||||
|
||||
/** \cpp11
|
||||
* \returns a symbolic ArithmeticSequence representing the last \a size elements with a unit increment.
|
||||
*
|
||||
* It is a shortcut for: \code seq(last+fix<1>-size, last) \endcode
|
||||
*
|
||||
* \sa lastN(SizeType,IncrType, seqN(FirstType,SizeType), seq(FirstType,LastType) */
|
||||
template<typename SizeType>
|
||||
auto lastN(SizeType size)
|
||||
-> decltype(seqN(Eigen::last+fix<1>()-size, size))
|
||||
{
|
||||
return seqN(Eigen::last+fix<1>()-size, size);
|
||||
}
|
||||
#endif
|
||||
|
||||
namespace internal {
|
||||
|
||||
// Convert a symbolic span into a usable one (i.e., remove last/end "keywords")
|
||||
template<typename T>
|
||||
struct make_size_type {
|
||||
typedef typename internal::conditional<symbolic::is_symbolic<T>::value, Index, T>::type type;
|
||||
};
|
||||
|
||||
template<typename FirstType,typename SizeType,typename IncrType,int XprSize>
|
||||
struct IndexedViewCompatibleType<ArithmeticSequence<FirstType,SizeType,IncrType>, XprSize> {
|
||||
typedef ArithmeticSequence<Index,typename make_size_type<SizeType>::type,IncrType> type;
|
||||
};
|
||||
|
||||
template<typename FirstType,typename SizeType,typename IncrType>
|
||||
ArithmeticSequence<Index,typename make_size_type<SizeType>::type,IncrType>
|
||||
makeIndexedViewCompatible(const ArithmeticSequence<FirstType,SizeType,IncrType>& ids, Index size,SpecializedType) {
|
||||
return ArithmeticSequence<Index,typename make_size_type<SizeType>::type,IncrType>(
|
||||
eval_expr_given_size(ids.firstObject(),size),eval_expr_given_size(ids.sizeObject(),size),ids.incrObject());
|
||||
}
|
||||
|
||||
template<typename FirstType,typename SizeType,typename IncrType>
|
||||
struct get_compile_time_incr<ArithmeticSequence<FirstType,SizeType,IncrType> > {
|
||||
enum { value = get_fixed_value<IncrType,DynamicIndex>::value };
|
||||
};
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
/** \namespace Eigen::indexing
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* The sole purpose of this namespace is to be able to import all functions
|
||||
* and symbols that are expected to be used within operator() for indexing
|
||||
* and slicing. If you already imported the whole Eigen namespace:
|
||||
* \code using namespace Eigen; \endcode
|
||||
* then you are already all set. Otherwise, if you don't want/cannot import
|
||||
* the whole Eigen namespace, the following line:
|
||||
* \code using namespace Eigen::indexing; \endcode
|
||||
* is equivalent to:
|
||||
* \code
|
||||
using Eigen::all;
|
||||
using Eigen::seq;
|
||||
using Eigen::seqN;
|
||||
using Eigen::lastN; // c++11 only
|
||||
using Eigen::last;
|
||||
using Eigen::lastp1;
|
||||
using Eigen::fix;
|
||||
\endcode
|
||||
*/
|
||||
namespace indexing {
|
||||
using Eigen::all;
|
||||
using Eigen::seq;
|
||||
using Eigen::seqN;
|
||||
#if EIGEN_HAS_CXX11
|
||||
using Eigen::lastN;
|
||||
#endif
|
||||
using Eigen::last;
|
||||
using Eigen::lastp1;
|
||||
using Eigen::fix;
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_ARITHMETIC_SEQUENCE_H
|
||||
|
|
@ -0,0 +1,417 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_ARRAY_H
|
||||
#define EIGEN_ARRAY_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
|
||||
struct traits<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > : traits<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >
|
||||
{
|
||||
typedef ArrayXpr XprKind;
|
||||
typedef ArrayBase<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > XprBase;
|
||||
};
|
||||
}
|
||||
|
||||
/** \class Array
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief General-purpose arrays with easy API for coefficient-wise operations
|
||||
*
|
||||
* The %Array class is very similar to the Matrix class. It provides
|
||||
* general-purpose one- and two-dimensional arrays. The difference between the
|
||||
* %Array and the %Matrix class is primarily in the API: the API for the
|
||||
* %Array class provides easy access to coefficient-wise operations, while the
|
||||
* API for the %Matrix class provides easy access to linear-algebra
|
||||
* operations.
|
||||
*
|
||||
* See documentation of class Matrix for detailed information on the template parameters
|
||||
* storage layout.
|
||||
*
|
||||
* This class can be extended with the help of the plugin mechanism described on the page
|
||||
* \ref TopicCustomizing_Plugins by defining the preprocessor symbol \c EIGEN_ARRAY_PLUGIN.
|
||||
*
|
||||
* \sa \blank \ref TutorialArrayClass, \ref TopicClassHierarchy
|
||||
*/
|
||||
template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
|
||||
class Array
|
||||
: public PlainObjectBase<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> >
|
||||
{
|
||||
public:
|
||||
|
||||
typedef PlainObjectBase<Array> Base;
|
||||
EIGEN_DENSE_PUBLIC_INTERFACE(Array)
|
||||
|
||||
enum { Options = _Options };
|
||||
typedef typename Base::PlainObject PlainObject;
|
||||
|
||||
protected:
|
||||
template <typename Derived, typename OtherDerived, bool IsVector>
|
||||
friend struct internal::conservative_resize_like_impl;
|
||||
|
||||
using Base::m_storage;
|
||||
|
||||
public:
|
||||
|
||||
using Base::base;
|
||||
using Base::coeff;
|
||||
using Base::coeffRef;
|
||||
|
||||
/**
|
||||
* The usage of
|
||||
* using Base::operator=;
|
||||
* fails on MSVC. Since the code below is working with GCC and MSVC, we skipped
|
||||
* the usage of 'using'. This should be done only for operator=.
|
||||
*/
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Array& operator=(const EigenBase<OtherDerived> &other)
|
||||
{
|
||||
return Base::operator=(other);
|
||||
}
|
||||
|
||||
/** Set all the entries to \a value.
|
||||
* \sa DenseBase::setConstant(), DenseBase::fill()
|
||||
*/
|
||||
/* This overload is needed because the usage of
|
||||
* using Base::operator=;
|
||||
* fails on MSVC. Since the code below is working with GCC and MSVC, we skipped
|
||||
* the usage of 'using'. This should be done only for operator=.
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Array& operator=(const Scalar &value)
|
||||
{
|
||||
Base::setConstant(value);
|
||||
return *this;
|
||||
}
|
||||
|
||||
/** Copies the value of the expression \a other into \c *this with automatic resizing.
|
||||
*
|
||||
* *this might be resized to match the dimensions of \a other. If *this was a null matrix (not already initialized),
|
||||
* it will be initialized.
|
||||
*
|
||||
* Note that copying a row-vector into a vector (and conversely) is allowed.
|
||||
* The resizing, if any, is then done in the appropriate way so that row-vectors
|
||||
* remain row-vectors and vectors remain vectors.
|
||||
*/
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Array& operator=(const DenseBase<OtherDerived>& other)
|
||||
{
|
||||
return Base::_set(other);
|
||||
}
|
||||
|
||||
/** This is a special case of the templated operator=. Its purpose is to
|
||||
* prevent a default operator= from hiding the templated operator=.
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Array& operator=(const Array& other)
|
||||
{
|
||||
return Base::_set(other);
|
||||
}
|
||||
|
||||
/** Default constructor.
|
||||
*
|
||||
* For fixed-size matrices, does nothing.
|
||||
*
|
||||
* For dynamic-size matrices, creates an empty matrix of size 0. Does not allocate any array. Such a matrix
|
||||
* is called a null matrix. This constructor is the unique way to create null matrices: resizing
|
||||
* a matrix to 0 is not supported.
|
||||
*
|
||||
* \sa resize(Index,Index)
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Array() : Base()
|
||||
{
|
||||
Base::_check_template_params();
|
||||
EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
|
||||
}
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
// FIXME is it still needed ??
|
||||
/** \internal */
|
||||
EIGEN_DEVICE_FUNC
|
||||
Array(internal::constructor_without_unaligned_array_assert)
|
||||
: Base(internal::constructor_without_unaligned_array_assert())
|
||||
{
|
||||
Base::_check_template_params();
|
||||
EIGEN_INITIALIZE_COEFFS_IF_THAT_OPTION_IS_ENABLED
|
||||
}
|
||||
#endif
|
||||
|
||||
#if EIGEN_HAS_RVALUE_REFERENCES
|
||||
EIGEN_DEVICE_FUNC
|
||||
Array(Array&& other) EIGEN_NOEXCEPT_IF(std::is_nothrow_move_constructible<Scalar>::value)
|
||||
: Base(std::move(other))
|
||||
{
|
||||
Base::_check_template_params();
|
||||
}
|
||||
EIGEN_DEVICE_FUNC
|
||||
Array& operator=(Array&& other) EIGEN_NOEXCEPT_IF(std::is_nothrow_move_assignable<Scalar>::value)
|
||||
{
|
||||
Base::operator=(std::move(other));
|
||||
return *this;
|
||||
}
|
||||
#endif
|
||||
|
||||
#if EIGEN_HAS_CXX11
|
||||
/** \copydoc PlainObjectBase(const Scalar& a0, const Scalar& a1, const Scalar& a2, const Scalar& a3, const ArgTypes&... args)
|
||||
*
|
||||
* Example: \include Array_variadic_ctor_cxx11.cpp
|
||||
* Output: \verbinclude Array_variadic_ctor_cxx11.out
|
||||
*
|
||||
* \sa Array(const std::initializer_list<std::initializer_list<Scalar>>&)
|
||||
* \sa Array(const Scalar&), Array(const Scalar&,const Scalar&)
|
||||
*/
|
||||
template <typename... ArgTypes>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Array(const Scalar& a0, const Scalar& a1, const Scalar& a2, const Scalar& a3, const ArgTypes&... args)
|
||||
: Base(a0, a1, a2, a3, args...) {}
|
||||
|
||||
/** \brief Constructs an array and initializes it from the coefficients given as initializer-lists grouped by row. \cpp11
|
||||
*
|
||||
* In the general case, the constructor takes a list of rows, each row being represented as a list of coefficients:
|
||||
*
|
||||
* Example: \include Array_initializer_list_23_cxx11.cpp
|
||||
* Output: \verbinclude Array_initializer_list_23_cxx11.out
|
||||
*
|
||||
* Each of the inner initializer lists must contain the exact same number of elements, otherwise an assertion is triggered.
|
||||
*
|
||||
* In the case of a compile-time column 1D array, implicit transposition from a single row is allowed.
|
||||
* Therefore <code> Array<int,Dynamic,1>{{1,2,3,4,5}}</code> is legal and the more verbose syntax
|
||||
* <code>Array<int,Dynamic,1>{{1},{2},{3},{4},{5}}</code> can be avoided:
|
||||
*
|
||||
* Example: \include Array_initializer_list_vector_cxx11.cpp
|
||||
* Output: \verbinclude Array_initializer_list_vector_cxx11.out
|
||||
*
|
||||
* In the case of fixed-sized arrays, the initializer list sizes must exactly match the array sizes,
|
||||
* and implicit transposition is allowed for compile-time 1D arrays only.
|
||||
*
|
||||
* \sa Array(const Scalar& a0, const Scalar& a1, const Scalar& a2, const Scalar& a3, const ArgTypes&... args)
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Array(const std::initializer_list<std::initializer_list<Scalar>>& list) : Base(list) {}
|
||||
#endif // end EIGEN_HAS_CXX11
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
template<typename T>
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE explicit Array(const T& x)
|
||||
{
|
||||
Base::_check_template_params();
|
||||
Base::template _init1<T>(x);
|
||||
}
|
||||
|
||||
template<typename T0, typename T1>
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Array(const T0& val0, const T1& val1)
|
||||
{
|
||||
Base::_check_template_params();
|
||||
this->template _init2<T0,T1>(val0, val1);
|
||||
}
|
||||
|
||||
#else
|
||||
/** \brief Constructs a fixed-sized array initialized with coefficients starting at \a data */
|
||||
EIGEN_DEVICE_FUNC explicit Array(const Scalar *data);
|
||||
/** Constructs a vector or row-vector with given dimension. \only_for_vectors
|
||||
*
|
||||
* Note that this is only useful for dynamic-size vectors. For fixed-size vectors,
|
||||
* it is redundant to pass the dimension here, so it makes more sense to use the default
|
||||
* constructor Array() instead.
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE explicit Array(Index dim);
|
||||
/** constructs an initialized 1x1 Array with the given coefficient
|
||||
* \sa const Scalar& a0, const Scalar& a1, const Scalar& a2, const Scalar& a3, const ArgTypes&... args */
|
||||
Array(const Scalar& value);
|
||||
/** constructs an uninitialized array with \a rows rows and \a cols columns.
|
||||
*
|
||||
* This is useful for dynamic-size arrays. For fixed-size arrays,
|
||||
* it is redundant to pass these parameters, so one should use the default constructor
|
||||
* Array() instead. */
|
||||
Array(Index rows, Index cols);
|
||||
/** constructs an initialized 2D vector with given coefficients
|
||||
* \sa Array(const Scalar& a0, const Scalar& a1, const Scalar& a2, const Scalar& a3, const ArgTypes&... args) */
|
||||
Array(const Scalar& val0, const Scalar& val1);
|
||||
#endif // end EIGEN_PARSED_BY_DOXYGEN
|
||||
|
||||
/** constructs an initialized 3D vector with given coefficients
|
||||
* \sa Array(const Scalar& a0, const Scalar& a1, const Scalar& a2, const Scalar& a3, const ArgTypes&... args)
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Array(const Scalar& val0, const Scalar& val1, const Scalar& val2)
|
||||
{
|
||||
Base::_check_template_params();
|
||||
EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(Array, 3)
|
||||
m_storage.data()[0] = val0;
|
||||
m_storage.data()[1] = val1;
|
||||
m_storage.data()[2] = val2;
|
||||
}
|
||||
/** constructs an initialized 4D vector with given coefficients
|
||||
* \sa Array(const Scalar& a0, const Scalar& a1, const Scalar& a2, const Scalar& a3, const ArgTypes&... args)
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Array(const Scalar& val0, const Scalar& val1, const Scalar& val2, const Scalar& val3)
|
||||
{
|
||||
Base::_check_template_params();
|
||||
EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(Array, 4)
|
||||
m_storage.data()[0] = val0;
|
||||
m_storage.data()[1] = val1;
|
||||
m_storage.data()[2] = val2;
|
||||
m_storage.data()[3] = val3;
|
||||
}
|
||||
|
||||
/** Copy constructor */
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Array(const Array& other)
|
||||
: Base(other)
|
||||
{ }
|
||||
|
||||
private:
|
||||
struct PrivateType {};
|
||||
public:
|
||||
|
||||
/** \sa MatrixBase::operator=(const EigenBase<OtherDerived>&) */
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Array(const EigenBase<OtherDerived> &other,
|
||||
typename internal::enable_if<internal::is_convertible<typename OtherDerived::Scalar,Scalar>::value,
|
||||
PrivateType>::type = PrivateType())
|
||||
: Base(other.derived())
|
||||
{ }
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index innerStride() const EIGEN_NOEXCEPT{ return 1; }
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index outerStride() const EIGEN_NOEXCEPT { return this->innerSize(); }
|
||||
|
||||
#ifdef EIGEN_ARRAY_PLUGIN
|
||||
#include EIGEN_ARRAY_PLUGIN
|
||||
#endif
|
||||
|
||||
private:
|
||||
|
||||
template<typename MatrixType, typename OtherDerived, bool SwapPointers>
|
||||
friend struct internal::matrix_swap_impl;
|
||||
};
|
||||
|
||||
/** \defgroup arraytypedefs Global array typedefs
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* %Eigen defines several typedef shortcuts for most common 1D and 2D array types.
|
||||
*
|
||||
* The general patterns are the following:
|
||||
*
|
||||
* \c ArrayRowsColsType where \c Rows and \c Cols can be \c 2,\c 3,\c 4 for fixed size square matrices or \c X for dynamic size,
|
||||
* and where \c Type can be \c i for integer, \c f for float, \c d for double, \c cf for complex float, \c cd
|
||||
* for complex double.
|
||||
*
|
||||
* For example, \c Array33d is a fixed-size 3x3 array type of doubles, and \c ArrayXXf is a dynamic-size matrix of floats.
|
||||
*
|
||||
* There are also \c ArraySizeType which are self-explanatory. For example, \c Array4cf is
|
||||
* a fixed-size 1D array of 4 complex floats.
|
||||
*
|
||||
* With \cpp11, template alias are also defined for common sizes.
|
||||
* They follow the same pattern as above except that the scalar type suffix is replaced by a
|
||||
* template parameter, i.e.:
|
||||
* - `ArrayRowsCols<Type>` where `Rows` and `Cols` can be \c 2,\c 3,\c 4, or \c X for fixed or dynamic size.
|
||||
* - `ArraySize<Type>` where `Size` can be \c 2,\c 3,\c 4 or \c X for fixed or dynamic size 1D arrays.
|
||||
*
|
||||
* \sa class Array
|
||||
*/
|
||||
|
||||
#define EIGEN_MAKE_ARRAY_TYPEDEFS(Type, TypeSuffix, Size, SizeSuffix) \
|
||||
/** \ingroup arraytypedefs */ \
|
||||
typedef Array<Type, Size, Size> Array##SizeSuffix##SizeSuffix##TypeSuffix; \
|
||||
/** \ingroup arraytypedefs */ \
|
||||
typedef Array<Type, Size, 1> Array##SizeSuffix##TypeSuffix;
|
||||
|
||||
#define EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS(Type, TypeSuffix, Size) \
|
||||
/** \ingroup arraytypedefs */ \
|
||||
typedef Array<Type, Size, Dynamic> Array##Size##X##TypeSuffix; \
|
||||
/** \ingroup arraytypedefs */ \
|
||||
typedef Array<Type, Dynamic, Size> Array##X##Size##TypeSuffix;
|
||||
|
||||
#define EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES(Type, TypeSuffix) \
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS(Type, TypeSuffix, 2, 2) \
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS(Type, TypeSuffix, 3, 3) \
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS(Type, TypeSuffix, 4, 4) \
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS(Type, TypeSuffix, Dynamic, X) \
|
||||
EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS(Type, TypeSuffix, 2) \
|
||||
EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS(Type, TypeSuffix, 3) \
|
||||
EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS(Type, TypeSuffix, 4)
|
||||
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES(int, i)
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES(float, f)
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES(double, d)
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES(std::complex<float>, cf)
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES(std::complex<double>, cd)
|
||||
|
||||
#undef EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES
|
||||
#undef EIGEN_MAKE_ARRAY_TYPEDEFS
|
||||
#undef EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS
|
||||
|
||||
#if EIGEN_HAS_CXX11
|
||||
|
||||
#define EIGEN_MAKE_ARRAY_TYPEDEFS(Size, SizeSuffix) \
|
||||
/** \ingroup arraytypedefs */ \
|
||||
/** \brief \cpp11 */ \
|
||||
template <typename Type> \
|
||||
using Array##SizeSuffix##SizeSuffix = Array<Type, Size, Size>; \
|
||||
/** \ingroup arraytypedefs */ \
|
||||
/** \brief \cpp11 */ \
|
||||
template <typename Type> \
|
||||
using Array##SizeSuffix = Array<Type, Size, 1>;
|
||||
|
||||
#define EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS(Size) \
|
||||
/** \ingroup arraytypedefs */ \
|
||||
/** \brief \cpp11 */ \
|
||||
template <typename Type> \
|
||||
using Array##Size##X = Array<Type, Size, Dynamic>; \
|
||||
/** \ingroup arraytypedefs */ \
|
||||
/** \brief \cpp11 */ \
|
||||
template <typename Type> \
|
||||
using Array##X##Size = Array<Type, Dynamic, Size>;
|
||||
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS(2, 2)
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS(3, 3)
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS(4, 4)
|
||||
EIGEN_MAKE_ARRAY_TYPEDEFS(Dynamic, X)
|
||||
EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS(2)
|
||||
EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS(3)
|
||||
EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS(4)
|
||||
|
||||
#undef EIGEN_MAKE_ARRAY_TYPEDEFS
|
||||
#undef EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS
|
||||
|
||||
#endif // EIGEN_HAS_CXX11
|
||||
|
||||
#define EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, SizeSuffix) \
|
||||
using Eigen::Matrix##SizeSuffix##TypeSuffix; \
|
||||
using Eigen::Vector##SizeSuffix##TypeSuffix; \
|
||||
using Eigen::RowVector##SizeSuffix##TypeSuffix;
|
||||
|
||||
#define EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(TypeSuffix) \
|
||||
EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, 2) \
|
||||
EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, 3) \
|
||||
EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, 4) \
|
||||
EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, X) \
|
||||
|
||||
#define EIGEN_USING_ARRAY_TYPEDEFS \
|
||||
EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(i) \
|
||||
EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(f) \
|
||||
EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(d) \
|
||||
EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(cf) \
|
||||
EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(cd)
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_ARRAY_H
|
||||
|
|
@ -0,0 +1,226 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_ARRAYBASE_H
|
||||
#define EIGEN_ARRAYBASE_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
template<typename ExpressionType> class MatrixWrapper;
|
||||
|
||||
/** \class ArrayBase
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Base class for all 1D and 2D array, and related expressions
|
||||
*
|
||||
* An array is similar to a dense vector or matrix. While matrices are mathematical
|
||||
* objects with well defined linear algebra operators, an array is just a collection
|
||||
* of scalar values arranged in a one or two dimensionnal fashion. As the main consequence,
|
||||
* all operations applied to an array are performed coefficient wise. Furthermore,
|
||||
* arrays support scalar math functions of the c++ standard library (e.g., std::sin(x)), and convenient
|
||||
* constructors allowing to easily write generic code working for both scalar values
|
||||
* and arrays.
|
||||
*
|
||||
* This class is the base that is inherited by all array expression types.
|
||||
*
|
||||
* \tparam Derived is the derived type, e.g., an array or an expression type.
|
||||
*
|
||||
* This class can be extended with the help of the plugin mechanism described on the page
|
||||
* \ref TopicCustomizing_Plugins by defining the preprocessor symbol \c EIGEN_ARRAYBASE_PLUGIN.
|
||||
*
|
||||
* \sa class MatrixBase, \ref TopicClassHierarchy
|
||||
*/
|
||||
template<typename Derived> class ArrayBase
|
||||
: public DenseBase<Derived>
|
||||
{
|
||||
public:
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
/** The base class for a given storage type. */
|
||||
typedef ArrayBase StorageBaseType;
|
||||
|
||||
typedef ArrayBase Eigen_BaseClassForSpecializationOfGlobalMathFuncImpl;
|
||||
|
||||
typedef typename internal::traits<Derived>::StorageKind StorageKind;
|
||||
typedef typename internal::traits<Derived>::Scalar Scalar;
|
||||
typedef typename internal::packet_traits<Scalar>::type PacketScalar;
|
||||
typedef typename NumTraits<Scalar>::Real RealScalar;
|
||||
|
||||
typedef DenseBase<Derived> Base;
|
||||
using Base::RowsAtCompileTime;
|
||||
using Base::ColsAtCompileTime;
|
||||
using Base::SizeAtCompileTime;
|
||||
using Base::MaxRowsAtCompileTime;
|
||||
using Base::MaxColsAtCompileTime;
|
||||
using Base::MaxSizeAtCompileTime;
|
||||
using Base::IsVectorAtCompileTime;
|
||||
using Base::Flags;
|
||||
|
||||
using Base::derived;
|
||||
using Base::const_cast_derived;
|
||||
using Base::rows;
|
||||
using Base::cols;
|
||||
using Base::size;
|
||||
using Base::coeff;
|
||||
using Base::coeffRef;
|
||||
using Base::lazyAssign;
|
||||
using Base::operator-;
|
||||
using Base::operator=;
|
||||
using Base::operator+=;
|
||||
using Base::operator-=;
|
||||
using Base::operator*=;
|
||||
using Base::operator/=;
|
||||
|
||||
typedef typename Base::CoeffReturnType CoeffReturnType;
|
||||
|
||||
#endif // not EIGEN_PARSED_BY_DOXYGEN
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
typedef typename Base::PlainObject PlainObject;
|
||||
|
||||
/** \internal Represents a matrix with all coefficients equal to one another*/
|
||||
typedef CwiseNullaryOp<internal::scalar_constant_op<Scalar>,PlainObject> ConstantReturnType;
|
||||
#endif // not EIGEN_PARSED_BY_DOXYGEN
|
||||
|
||||
#define EIGEN_CURRENT_STORAGE_BASE_CLASS Eigen::ArrayBase
|
||||
#define EIGEN_DOC_UNARY_ADDONS(X,Y)
|
||||
# include "../plugins/MatrixCwiseUnaryOps.h"
|
||||
# include "../plugins/ArrayCwiseUnaryOps.h"
|
||||
# include "../plugins/CommonCwiseBinaryOps.h"
|
||||
# include "../plugins/MatrixCwiseBinaryOps.h"
|
||||
# include "../plugins/ArrayCwiseBinaryOps.h"
|
||||
# ifdef EIGEN_ARRAYBASE_PLUGIN
|
||||
# include EIGEN_ARRAYBASE_PLUGIN
|
||||
# endif
|
||||
#undef EIGEN_CURRENT_STORAGE_BASE_CLASS
|
||||
#undef EIGEN_DOC_UNARY_ADDONS
|
||||
|
||||
/** Special case of the template operator=, in order to prevent the compiler
|
||||
* from generating a default operator= (issue hit with g++ 4.1)
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Derived& operator=(const ArrayBase& other)
|
||||
{
|
||||
internal::call_assignment(derived(), other.derived());
|
||||
return derived();
|
||||
}
|
||||
|
||||
/** Set all the entries to \a value.
|
||||
* \sa DenseBase::setConstant(), DenseBase::fill() */
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Derived& operator=(const Scalar &value)
|
||||
{ Base::setConstant(value); return derived(); }
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Derived& operator+=(const Scalar& scalar);
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Derived& operator-=(const Scalar& scalar);
|
||||
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Derived& operator+=(const ArrayBase<OtherDerived>& other);
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Derived& operator-=(const ArrayBase<OtherDerived>& other);
|
||||
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Derived& operator*=(const ArrayBase<OtherDerived>& other);
|
||||
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Derived& operator/=(const ArrayBase<OtherDerived>& other);
|
||||
|
||||
public:
|
||||
EIGEN_DEVICE_FUNC
|
||||
ArrayBase<Derived>& array() { return *this; }
|
||||
EIGEN_DEVICE_FUNC
|
||||
const ArrayBase<Derived>& array() const { return *this; }
|
||||
|
||||
/** \returns an \link Eigen::MatrixBase Matrix \endlink expression of this array
|
||||
* \sa MatrixBase::array() */
|
||||
EIGEN_DEVICE_FUNC
|
||||
MatrixWrapper<Derived> matrix() { return MatrixWrapper<Derived>(derived()); }
|
||||
EIGEN_DEVICE_FUNC
|
||||
const MatrixWrapper<const Derived> matrix() const { return MatrixWrapper<const Derived>(derived()); }
|
||||
|
||||
// template<typename Dest>
|
||||
// inline void evalTo(Dest& dst) const { dst = matrix(); }
|
||||
|
||||
protected:
|
||||
EIGEN_DEFAULT_COPY_CONSTRUCTOR(ArrayBase)
|
||||
EIGEN_DEFAULT_EMPTY_CONSTRUCTOR_AND_DESTRUCTOR(ArrayBase)
|
||||
|
||||
private:
|
||||
explicit ArrayBase(Index);
|
||||
ArrayBase(Index,Index);
|
||||
template<typename OtherDerived> explicit ArrayBase(const ArrayBase<OtherDerived>&);
|
||||
protected:
|
||||
// mixing arrays and matrices is not legal
|
||||
template<typename OtherDerived> Derived& operator+=(const MatrixBase<OtherDerived>& )
|
||||
{EIGEN_STATIC_ASSERT(std::ptrdiff_t(sizeof(typename OtherDerived::Scalar))==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES); return *this;}
|
||||
// mixing arrays and matrices is not legal
|
||||
template<typename OtherDerived> Derived& operator-=(const MatrixBase<OtherDerived>& )
|
||||
{EIGEN_STATIC_ASSERT(std::ptrdiff_t(sizeof(typename OtherDerived::Scalar))==-1,YOU_CANNOT_MIX_ARRAYS_AND_MATRICES); return *this;}
|
||||
};
|
||||
|
||||
/** replaces \c *this by \c *this - \a other.
|
||||
*
|
||||
* \returns a reference to \c *this
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &
|
||||
ArrayBase<Derived>::operator-=(const ArrayBase<OtherDerived> &other)
|
||||
{
|
||||
call_assignment(derived(), other.derived(), internal::sub_assign_op<Scalar,typename OtherDerived::Scalar>());
|
||||
return derived();
|
||||
}
|
||||
|
||||
/** replaces \c *this by \c *this + \a other.
|
||||
*
|
||||
* \returns a reference to \c *this
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &
|
||||
ArrayBase<Derived>::operator+=(const ArrayBase<OtherDerived>& other)
|
||||
{
|
||||
call_assignment(derived(), other.derived(), internal::add_assign_op<Scalar,typename OtherDerived::Scalar>());
|
||||
return derived();
|
||||
}
|
||||
|
||||
/** replaces \c *this by \c *this * \a other coefficient wise.
|
||||
*
|
||||
* \returns a reference to \c *this
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &
|
||||
ArrayBase<Derived>::operator*=(const ArrayBase<OtherDerived>& other)
|
||||
{
|
||||
call_assignment(derived(), other.derived(), internal::mul_assign_op<Scalar,typename OtherDerived::Scalar>());
|
||||
return derived();
|
||||
}
|
||||
|
||||
/** replaces \c *this by \c *this / \a other coefficient wise.
|
||||
*
|
||||
* \returns a reference to \c *this
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &
|
||||
ArrayBase<Derived>::operator/=(const ArrayBase<OtherDerived>& other)
|
||||
{
|
||||
call_assignment(derived(), other.derived(), internal::div_assign_op<Scalar,typename OtherDerived::Scalar>());
|
||||
return derived();
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_ARRAYBASE_H
|
||||
|
|
@ -0,0 +1,209 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_ARRAYWRAPPER_H
|
||||
#define EIGEN_ARRAYWRAPPER_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
/** \class ArrayWrapper
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Expression of a mathematical vector or matrix as an array object
|
||||
*
|
||||
* This class is the return type of MatrixBase::array(), and most of the time
|
||||
* this is the only way it is use.
|
||||
*
|
||||
* \sa MatrixBase::array(), class MatrixWrapper
|
||||
*/
|
||||
|
||||
namespace internal {
|
||||
template<typename ExpressionType>
|
||||
struct traits<ArrayWrapper<ExpressionType> >
|
||||
: public traits<typename remove_all<typename ExpressionType::Nested>::type >
|
||||
{
|
||||
typedef ArrayXpr XprKind;
|
||||
// Let's remove NestByRefBit
|
||||
enum {
|
||||
Flags0 = traits<typename remove_all<typename ExpressionType::Nested>::type >::Flags,
|
||||
LvalueBitFlag = is_lvalue<ExpressionType>::value ? LvalueBit : 0,
|
||||
Flags = (Flags0 & ~(NestByRefBit | LvalueBit)) | LvalueBitFlag
|
||||
};
|
||||
};
|
||||
}
|
||||
|
||||
template<typename ExpressionType>
|
||||
class ArrayWrapper : public ArrayBase<ArrayWrapper<ExpressionType> >
|
||||
{
|
||||
public:
|
||||
typedef ArrayBase<ArrayWrapper> Base;
|
||||
EIGEN_DENSE_PUBLIC_INTERFACE(ArrayWrapper)
|
||||
EIGEN_INHERIT_ASSIGNMENT_OPERATORS(ArrayWrapper)
|
||||
typedef typename internal::remove_all<ExpressionType>::type NestedExpression;
|
||||
|
||||
typedef typename internal::conditional<
|
||||
internal::is_lvalue<ExpressionType>::value,
|
||||
Scalar,
|
||||
const Scalar
|
||||
>::type ScalarWithConstIfNotLvalue;
|
||||
|
||||
typedef typename internal::ref_selector<ExpressionType>::non_const_type NestedExpressionType;
|
||||
|
||||
using Base::coeffRef;
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
explicit EIGEN_STRONG_INLINE ArrayWrapper(ExpressionType& matrix) : m_expression(matrix) {}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index rows() const EIGEN_NOEXCEPT { return m_expression.rows(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index cols() const EIGEN_NOEXCEPT { return m_expression.cols(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index outerStride() const EIGEN_NOEXCEPT { return m_expression.outerStride(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index innerStride() const EIGEN_NOEXCEPT { return m_expression.innerStride(); }
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline ScalarWithConstIfNotLvalue* data() { return m_expression.data(); }
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Scalar* data() const { return m_expression.data(); }
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Scalar& coeffRef(Index rowId, Index colId) const
|
||||
{
|
||||
return m_expression.coeffRef(rowId, colId);
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Scalar& coeffRef(Index index) const
|
||||
{
|
||||
return m_expression.coeffRef(index);
|
||||
}
|
||||
|
||||
template<typename Dest>
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline void evalTo(Dest& dst) const { dst = m_expression; }
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
const typename internal::remove_all<NestedExpressionType>::type&
|
||||
nestedExpression() const
|
||||
{
|
||||
return m_expression;
|
||||
}
|
||||
|
||||
/** Forwards the resizing request to the nested expression
|
||||
* \sa DenseBase::resize(Index) */
|
||||
EIGEN_DEVICE_FUNC
|
||||
void resize(Index newSize) { m_expression.resize(newSize); }
|
||||
/** Forwards the resizing request to the nested expression
|
||||
* \sa DenseBase::resize(Index,Index)*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
void resize(Index rows, Index cols) { m_expression.resize(rows,cols); }
|
||||
|
||||
protected:
|
||||
NestedExpressionType m_expression;
|
||||
};
|
||||
|
||||
/** \class MatrixWrapper
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Expression of an array as a mathematical vector or matrix
|
||||
*
|
||||
* This class is the return type of ArrayBase::matrix(), and most of the time
|
||||
* this is the only way it is use.
|
||||
*
|
||||
* \sa MatrixBase::matrix(), class ArrayWrapper
|
||||
*/
|
||||
|
||||
namespace internal {
|
||||
template<typename ExpressionType>
|
||||
struct traits<MatrixWrapper<ExpressionType> >
|
||||
: public traits<typename remove_all<typename ExpressionType::Nested>::type >
|
||||
{
|
||||
typedef MatrixXpr XprKind;
|
||||
// Let's remove NestByRefBit
|
||||
enum {
|
||||
Flags0 = traits<typename remove_all<typename ExpressionType::Nested>::type >::Flags,
|
||||
LvalueBitFlag = is_lvalue<ExpressionType>::value ? LvalueBit : 0,
|
||||
Flags = (Flags0 & ~(NestByRefBit | LvalueBit)) | LvalueBitFlag
|
||||
};
|
||||
};
|
||||
}
|
||||
|
||||
template<typename ExpressionType>
|
||||
class MatrixWrapper : public MatrixBase<MatrixWrapper<ExpressionType> >
|
||||
{
|
||||
public:
|
||||
typedef MatrixBase<MatrixWrapper<ExpressionType> > Base;
|
||||
EIGEN_DENSE_PUBLIC_INTERFACE(MatrixWrapper)
|
||||
EIGEN_INHERIT_ASSIGNMENT_OPERATORS(MatrixWrapper)
|
||||
typedef typename internal::remove_all<ExpressionType>::type NestedExpression;
|
||||
|
||||
typedef typename internal::conditional<
|
||||
internal::is_lvalue<ExpressionType>::value,
|
||||
Scalar,
|
||||
const Scalar
|
||||
>::type ScalarWithConstIfNotLvalue;
|
||||
|
||||
typedef typename internal::ref_selector<ExpressionType>::non_const_type NestedExpressionType;
|
||||
|
||||
using Base::coeffRef;
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
explicit inline MatrixWrapper(ExpressionType& matrix) : m_expression(matrix) {}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index rows() const EIGEN_NOEXCEPT { return m_expression.rows(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index cols() const EIGEN_NOEXCEPT { return m_expression.cols(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index outerStride() const EIGEN_NOEXCEPT { return m_expression.outerStride(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index innerStride() const EIGEN_NOEXCEPT { return m_expression.innerStride(); }
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline ScalarWithConstIfNotLvalue* data() { return m_expression.data(); }
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Scalar* data() const { return m_expression.data(); }
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Scalar& coeffRef(Index rowId, Index colId) const
|
||||
{
|
||||
return m_expression.derived().coeffRef(rowId, colId);
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Scalar& coeffRef(Index index) const
|
||||
{
|
||||
return m_expression.coeffRef(index);
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
const typename internal::remove_all<NestedExpressionType>::type&
|
||||
nestedExpression() const
|
||||
{
|
||||
return m_expression;
|
||||
}
|
||||
|
||||
/** Forwards the resizing request to the nested expression
|
||||
* \sa DenseBase::resize(Index) */
|
||||
EIGEN_DEVICE_FUNC
|
||||
void resize(Index newSize) { m_expression.resize(newSize); }
|
||||
/** Forwards the resizing request to the nested expression
|
||||
* \sa DenseBase::resize(Index,Index)*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
void resize(Index rows, Index cols) { m_expression.resize(rows,cols); }
|
||||
|
||||
protected:
|
||||
NestedExpressionType m_expression;
|
||||
};
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_ARRAYWRAPPER_H
|
||||
|
|
@ -0,0 +1,90 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2007 Michael Olbrich <michael.olbrich@gmx.net>
|
||||
// Copyright (C) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_ASSIGN_H
|
||||
#define EIGEN_ASSIGN_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& DenseBase<Derived>
|
||||
::lazyAssign(const DenseBase<OtherDerived>& other)
|
||||
{
|
||||
enum{
|
||||
SameType = internal::is_same<typename Derived::Scalar,typename OtherDerived::Scalar>::value
|
||||
};
|
||||
|
||||
EIGEN_STATIC_ASSERT_LVALUE(Derived)
|
||||
EIGEN_STATIC_ASSERT_SAME_MATRIX_SIZE(Derived,OtherDerived)
|
||||
EIGEN_STATIC_ASSERT(SameType,YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY)
|
||||
|
||||
eigen_assert(rows() == other.rows() && cols() == other.cols());
|
||||
internal::call_assignment_no_alias(derived(),other.derived());
|
||||
|
||||
return derived();
|
||||
}
|
||||
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Derived& DenseBase<Derived>::operator=(const DenseBase<OtherDerived>& other)
|
||||
{
|
||||
internal::call_assignment(derived(), other.derived());
|
||||
return derived();
|
||||
}
|
||||
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Derived& DenseBase<Derived>::operator=(const DenseBase& other)
|
||||
{
|
||||
internal::call_assignment(derived(), other.derived());
|
||||
return derived();
|
||||
}
|
||||
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Derived& MatrixBase<Derived>::operator=(const MatrixBase& other)
|
||||
{
|
||||
internal::call_assignment(derived(), other.derived());
|
||||
return derived();
|
||||
}
|
||||
|
||||
template<typename Derived>
|
||||
template <typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Derived& MatrixBase<Derived>::operator=(const DenseBase<OtherDerived>& other)
|
||||
{
|
||||
internal::call_assignment(derived(), other.derived());
|
||||
return derived();
|
||||
}
|
||||
|
||||
template<typename Derived>
|
||||
template <typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Derived& MatrixBase<Derived>::operator=(const EigenBase<OtherDerived>& other)
|
||||
{
|
||||
internal::call_assignment(derived(), other.derived());
|
||||
return derived();
|
||||
}
|
||||
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Derived& MatrixBase<Derived>::operator=(const ReturnByValue<OtherDerived>& other)
|
||||
{
|
||||
other.derived().evalTo(derived());
|
||||
return derived();
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_ASSIGN_H
|
||||
File diff suppressed because it is too large
Load Diff
|
|
@ -0,0 +1,178 @@
|
|||
/*
|
||||
Copyright (c) 2011, Intel Corporation. All rights reserved.
|
||||
Copyright (C) 2015 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
|
||||
Redistribution and use in source and binary forms, with or without modification,
|
||||
are permitted provided that the following conditions are met:
|
||||
|
||||
* Redistributions of source code must retain the above copyright notice, this
|
||||
list of conditions and the following disclaimer.
|
||||
* Redistributions in binary form must reproduce the above copyright notice,
|
||||
this list of conditions and the following disclaimer in the documentation
|
||||
and/or other materials provided with the distribution.
|
||||
* Neither the name of Intel Corporation nor the names of its contributors may
|
||||
be used to endorse or promote products derived from this software without
|
||||
specific prior written permission.
|
||||
|
||||
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
|
||||
ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
|
||||
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
|
||||
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
|
||||
ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
|
||||
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
||||
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
|
||||
ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
|
||||
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
|
||||
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
|
||||
********************************************************************************
|
||||
* Content : Eigen bindings to Intel(R) MKL
|
||||
* MKL VML support for coefficient-wise unary Eigen expressions like a=b.sin()
|
||||
********************************************************************************
|
||||
*/
|
||||
|
||||
#ifndef EIGEN_ASSIGN_VML_H
|
||||
#define EIGEN_ASSIGN_VML_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<typename Dst, typename Src>
|
||||
class vml_assign_traits
|
||||
{
|
||||
private:
|
||||
enum {
|
||||
DstHasDirectAccess = Dst::Flags & DirectAccessBit,
|
||||
SrcHasDirectAccess = Src::Flags & DirectAccessBit,
|
||||
StorageOrdersAgree = (int(Dst::IsRowMajor) == int(Src::IsRowMajor)),
|
||||
InnerSize = int(Dst::IsVectorAtCompileTime) ? int(Dst::SizeAtCompileTime)
|
||||
: int(Dst::Flags)&RowMajorBit ? int(Dst::ColsAtCompileTime)
|
||||
: int(Dst::RowsAtCompileTime),
|
||||
InnerMaxSize = int(Dst::IsVectorAtCompileTime) ? int(Dst::MaxSizeAtCompileTime)
|
||||
: int(Dst::Flags)&RowMajorBit ? int(Dst::MaxColsAtCompileTime)
|
||||
: int(Dst::MaxRowsAtCompileTime),
|
||||
MaxSizeAtCompileTime = Dst::SizeAtCompileTime,
|
||||
|
||||
MightEnableVml = StorageOrdersAgree && DstHasDirectAccess && SrcHasDirectAccess && Src::InnerStrideAtCompileTime==1 && Dst::InnerStrideAtCompileTime==1,
|
||||
MightLinearize = MightEnableVml && (int(Dst::Flags) & int(Src::Flags) & LinearAccessBit),
|
||||
VmlSize = MightLinearize ? MaxSizeAtCompileTime : InnerMaxSize,
|
||||
LargeEnough = VmlSize==Dynamic || VmlSize>=EIGEN_MKL_VML_THRESHOLD
|
||||
};
|
||||
public:
|
||||
enum {
|
||||
EnableVml = MightEnableVml && LargeEnough,
|
||||
Traversal = MightLinearize ? LinearTraversal : DefaultTraversal
|
||||
};
|
||||
};
|
||||
|
||||
#define EIGEN_PP_EXPAND(ARG) ARG
|
||||
#if !defined (EIGEN_FAST_MATH) || (EIGEN_FAST_MATH != 1)
|
||||
#define EIGEN_VMLMODE_EXPAND_xLA , VML_HA
|
||||
#else
|
||||
#define EIGEN_VMLMODE_EXPAND_xLA , VML_LA
|
||||
#endif
|
||||
|
||||
#define EIGEN_VMLMODE_EXPAND_x_
|
||||
|
||||
#define EIGEN_VMLMODE_PREFIX_xLA vm
|
||||
#define EIGEN_VMLMODE_PREFIX_x_ v
|
||||
#define EIGEN_VMLMODE_PREFIX(VMLMODE) EIGEN_CAT(EIGEN_VMLMODE_PREFIX_x,VMLMODE)
|
||||
|
||||
#define EIGEN_MKL_VML_DECLARE_UNARY_CALL(EIGENOP, VMLOP, EIGENTYPE, VMLTYPE, VMLMODE) \
|
||||
template< typename DstXprType, typename SrcXprNested> \
|
||||
struct Assignment<DstXprType, CwiseUnaryOp<scalar_##EIGENOP##_op<EIGENTYPE>, SrcXprNested>, assign_op<EIGENTYPE,EIGENTYPE>, \
|
||||
Dense2Dense, typename enable_if<vml_assign_traits<DstXprType,SrcXprNested>::EnableVml>::type> { \
|
||||
typedef CwiseUnaryOp<scalar_##EIGENOP##_op<EIGENTYPE>, SrcXprNested> SrcXprType; \
|
||||
static void run(DstXprType &dst, const SrcXprType &src, const assign_op<EIGENTYPE,EIGENTYPE> &func) { \
|
||||
resize_if_allowed(dst, src, func); \
|
||||
eigen_assert(dst.rows() == src.rows() && dst.cols() == src.cols()); \
|
||||
if(vml_assign_traits<DstXprType,SrcXprNested>::Traversal==LinearTraversal) { \
|
||||
VMLOP(dst.size(), (const VMLTYPE*)src.nestedExpression().data(), \
|
||||
(VMLTYPE*)dst.data() EIGEN_PP_EXPAND(EIGEN_VMLMODE_EXPAND_x##VMLMODE) ); \
|
||||
} else { \
|
||||
const Index outerSize = dst.outerSize(); \
|
||||
for(Index outer = 0; outer < outerSize; ++outer) { \
|
||||
const EIGENTYPE *src_ptr = src.IsRowMajor ? &(src.nestedExpression().coeffRef(outer,0)) : \
|
||||
&(src.nestedExpression().coeffRef(0, outer)); \
|
||||
EIGENTYPE *dst_ptr = dst.IsRowMajor ? &(dst.coeffRef(outer,0)) : &(dst.coeffRef(0, outer)); \
|
||||
VMLOP( dst.innerSize(), (const VMLTYPE*)src_ptr, \
|
||||
(VMLTYPE*)dst_ptr EIGEN_PP_EXPAND(EIGEN_VMLMODE_EXPAND_x##VMLMODE)); \
|
||||
} \
|
||||
} \
|
||||
} \
|
||||
}; \
|
||||
|
||||
|
||||
#define EIGEN_MKL_VML_DECLARE_UNARY_CALLS_REAL(EIGENOP, VMLOP, VMLMODE) \
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALL(EIGENOP, EIGEN_CAT(EIGEN_VMLMODE_PREFIX(VMLMODE),s##VMLOP), float, float, VMLMODE) \
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALL(EIGENOP, EIGEN_CAT(EIGEN_VMLMODE_PREFIX(VMLMODE),d##VMLOP), double, double, VMLMODE)
|
||||
|
||||
#define EIGEN_MKL_VML_DECLARE_UNARY_CALLS_CPLX(EIGENOP, VMLOP, VMLMODE) \
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALL(EIGENOP, EIGEN_CAT(EIGEN_VMLMODE_PREFIX(VMLMODE),c##VMLOP), scomplex, MKL_Complex8, VMLMODE) \
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALL(EIGENOP, EIGEN_CAT(EIGEN_VMLMODE_PREFIX(VMLMODE),z##VMLOP), dcomplex, MKL_Complex16, VMLMODE)
|
||||
|
||||
#define EIGEN_MKL_VML_DECLARE_UNARY_CALLS(EIGENOP, VMLOP, VMLMODE) \
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS_REAL(EIGENOP, VMLOP, VMLMODE) \
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS_CPLX(EIGENOP, VMLOP, VMLMODE)
|
||||
|
||||
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(sin, Sin, LA)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(asin, Asin, LA)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(sinh, Sinh, LA)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(cos, Cos, LA)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(acos, Acos, LA)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(cosh, Cosh, LA)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(tan, Tan, LA)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(atan, Atan, LA)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(tanh, Tanh, LA)
|
||||
// EIGEN_MKL_VML_DECLARE_UNARY_CALLS(abs, Abs, _)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(exp, Exp, LA)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(log, Ln, LA)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(log10, Log10, LA)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(sqrt, Sqrt, _)
|
||||
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS_REAL(square, Sqr, _)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS_CPLX(arg, Arg, _)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS_REAL(round, Round, _)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS_REAL(floor, Floor, _)
|
||||
EIGEN_MKL_VML_DECLARE_UNARY_CALLS_REAL(ceil, Ceil, _)
|
||||
|
||||
#define EIGEN_MKL_VML_DECLARE_POW_CALL(EIGENOP, VMLOP, EIGENTYPE, VMLTYPE, VMLMODE) \
|
||||
template< typename DstXprType, typename SrcXprNested, typename Plain> \
|
||||
struct Assignment<DstXprType, CwiseBinaryOp<scalar_##EIGENOP##_op<EIGENTYPE,EIGENTYPE>, SrcXprNested, \
|
||||
const CwiseNullaryOp<internal::scalar_constant_op<EIGENTYPE>,Plain> >, assign_op<EIGENTYPE,EIGENTYPE>, \
|
||||
Dense2Dense, typename enable_if<vml_assign_traits<DstXprType,SrcXprNested>::EnableVml>::type> { \
|
||||
typedef CwiseBinaryOp<scalar_##EIGENOP##_op<EIGENTYPE,EIGENTYPE>, SrcXprNested, \
|
||||
const CwiseNullaryOp<internal::scalar_constant_op<EIGENTYPE>,Plain> > SrcXprType; \
|
||||
static void run(DstXprType &dst, const SrcXprType &src, const assign_op<EIGENTYPE,EIGENTYPE> &func) { \
|
||||
resize_if_allowed(dst, src, func); \
|
||||
eigen_assert(dst.rows() == src.rows() && dst.cols() == src.cols()); \
|
||||
VMLTYPE exponent = reinterpret_cast<const VMLTYPE&>(src.rhs().functor().m_other); \
|
||||
if(vml_assign_traits<DstXprType,SrcXprNested>::Traversal==LinearTraversal) \
|
||||
{ \
|
||||
VMLOP( dst.size(), (const VMLTYPE*)src.lhs().data(), exponent, \
|
||||
(VMLTYPE*)dst.data() EIGEN_PP_EXPAND(EIGEN_VMLMODE_EXPAND_x##VMLMODE) ); \
|
||||
} else { \
|
||||
const Index outerSize = dst.outerSize(); \
|
||||
for(Index outer = 0; outer < outerSize; ++outer) { \
|
||||
const EIGENTYPE *src_ptr = src.IsRowMajor ? &(src.lhs().coeffRef(outer,0)) : \
|
||||
&(src.lhs().coeffRef(0, outer)); \
|
||||
EIGENTYPE *dst_ptr = dst.IsRowMajor ? &(dst.coeffRef(outer,0)) : &(dst.coeffRef(0, outer)); \
|
||||
VMLOP( dst.innerSize(), (const VMLTYPE*)src_ptr, exponent, \
|
||||
(VMLTYPE*)dst_ptr EIGEN_PP_EXPAND(EIGEN_VMLMODE_EXPAND_x##VMLMODE)); \
|
||||
} \
|
||||
} \
|
||||
} \
|
||||
};
|
||||
|
||||
EIGEN_MKL_VML_DECLARE_POW_CALL(pow, vmsPowx, float, float, LA)
|
||||
EIGEN_MKL_VML_DECLARE_POW_CALL(pow, vmdPowx, double, double, LA)
|
||||
EIGEN_MKL_VML_DECLARE_POW_CALL(pow, vmcPowx, scomplex, MKL_Complex8, LA)
|
||||
EIGEN_MKL_VML_DECLARE_POW_CALL(pow, vmzPowx, dcomplex, MKL_Complex16, LA)
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_ASSIGN_VML_H
|
||||
|
|
@ -0,0 +1,353 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_BANDMATRIX_H
|
||||
#define EIGEN_BANDMATRIX_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<typename Derived>
|
||||
class BandMatrixBase : public EigenBase<Derived>
|
||||
{
|
||||
public:
|
||||
|
||||
enum {
|
||||
Flags = internal::traits<Derived>::Flags,
|
||||
CoeffReadCost = internal::traits<Derived>::CoeffReadCost,
|
||||
RowsAtCompileTime = internal::traits<Derived>::RowsAtCompileTime,
|
||||
ColsAtCompileTime = internal::traits<Derived>::ColsAtCompileTime,
|
||||
MaxRowsAtCompileTime = internal::traits<Derived>::MaxRowsAtCompileTime,
|
||||
MaxColsAtCompileTime = internal::traits<Derived>::MaxColsAtCompileTime,
|
||||
Supers = internal::traits<Derived>::Supers,
|
||||
Subs = internal::traits<Derived>::Subs,
|
||||
Options = internal::traits<Derived>::Options
|
||||
};
|
||||
typedef typename internal::traits<Derived>::Scalar Scalar;
|
||||
typedef Matrix<Scalar,RowsAtCompileTime,ColsAtCompileTime> DenseMatrixType;
|
||||
typedef typename DenseMatrixType::StorageIndex StorageIndex;
|
||||
typedef typename internal::traits<Derived>::CoefficientsType CoefficientsType;
|
||||
typedef EigenBase<Derived> Base;
|
||||
|
||||
protected:
|
||||
enum {
|
||||
DataRowsAtCompileTime = ((Supers!=Dynamic) && (Subs!=Dynamic))
|
||||
? 1 + Supers + Subs
|
||||
: Dynamic,
|
||||
SizeAtCompileTime = EIGEN_SIZE_MIN_PREFER_DYNAMIC(RowsAtCompileTime,ColsAtCompileTime)
|
||||
};
|
||||
|
||||
public:
|
||||
|
||||
using Base::derived;
|
||||
using Base::rows;
|
||||
using Base::cols;
|
||||
|
||||
/** \returns the number of super diagonals */
|
||||
inline Index supers() const { return derived().supers(); }
|
||||
|
||||
/** \returns the number of sub diagonals */
|
||||
inline Index subs() const { return derived().subs(); }
|
||||
|
||||
/** \returns an expression of the underlying coefficient matrix */
|
||||
inline const CoefficientsType& coeffs() const { return derived().coeffs(); }
|
||||
|
||||
/** \returns an expression of the underlying coefficient matrix */
|
||||
inline CoefficientsType& coeffs() { return derived().coeffs(); }
|
||||
|
||||
/** \returns a vector expression of the \a i -th column,
|
||||
* only the meaningful part is returned.
|
||||
* \warning the internal storage must be column major. */
|
||||
inline Block<CoefficientsType,Dynamic,1> col(Index i)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT((int(Options) & int(RowMajor)) == 0, THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES);
|
||||
Index start = 0;
|
||||
Index len = coeffs().rows();
|
||||
if (i<=supers())
|
||||
{
|
||||
start = supers()-i;
|
||||
len = (std::min)(rows(),std::max<Index>(0,coeffs().rows() - (supers()-i)));
|
||||
}
|
||||
else if (i>=rows()-subs())
|
||||
len = std::max<Index>(0,coeffs().rows() - (i + 1 - rows() + subs()));
|
||||
return Block<CoefficientsType,Dynamic,1>(coeffs(), start, i, len, 1);
|
||||
}
|
||||
|
||||
/** \returns a vector expression of the main diagonal */
|
||||
inline Block<CoefficientsType,1,SizeAtCompileTime> diagonal()
|
||||
{ return Block<CoefficientsType,1,SizeAtCompileTime>(coeffs(),supers(),0,1,(std::min)(rows(),cols())); }
|
||||
|
||||
/** \returns a vector expression of the main diagonal (const version) */
|
||||
inline const Block<const CoefficientsType,1,SizeAtCompileTime> diagonal() const
|
||||
{ return Block<const CoefficientsType,1,SizeAtCompileTime>(coeffs(),supers(),0,1,(std::min)(rows(),cols())); }
|
||||
|
||||
template<int Index> struct DiagonalIntReturnType {
|
||||
enum {
|
||||
ReturnOpposite = (int(Options) & int(SelfAdjoint)) && (((Index) > 0 && Supers == 0) || ((Index) < 0 && Subs == 0)),
|
||||
Conjugate = ReturnOpposite && NumTraits<Scalar>::IsComplex,
|
||||
ActualIndex = ReturnOpposite ? -Index : Index,
|
||||
DiagonalSize = (RowsAtCompileTime==Dynamic || ColsAtCompileTime==Dynamic)
|
||||
? Dynamic
|
||||
: (ActualIndex<0
|
||||
? EIGEN_SIZE_MIN_PREFER_DYNAMIC(ColsAtCompileTime, RowsAtCompileTime + ActualIndex)
|
||||
: EIGEN_SIZE_MIN_PREFER_DYNAMIC(RowsAtCompileTime, ColsAtCompileTime - ActualIndex))
|
||||
};
|
||||
typedef Block<CoefficientsType,1, DiagonalSize> BuildType;
|
||||
typedef typename internal::conditional<Conjugate,
|
||||
CwiseUnaryOp<internal::scalar_conjugate_op<Scalar>,BuildType >,
|
||||
BuildType>::type Type;
|
||||
};
|
||||
|
||||
/** \returns a vector expression of the \a N -th sub or super diagonal */
|
||||
template<int N> inline typename DiagonalIntReturnType<N>::Type diagonal()
|
||||
{
|
||||
return typename DiagonalIntReturnType<N>::BuildType(coeffs(), supers()-N, (std::max)(0,N), 1, diagonalLength(N));
|
||||
}
|
||||
|
||||
/** \returns a vector expression of the \a N -th sub or super diagonal */
|
||||
template<int N> inline const typename DiagonalIntReturnType<N>::Type diagonal() const
|
||||
{
|
||||
return typename DiagonalIntReturnType<N>::BuildType(coeffs(), supers()-N, (std::max)(0,N), 1, diagonalLength(N));
|
||||
}
|
||||
|
||||
/** \returns a vector expression of the \a i -th sub or super diagonal */
|
||||
inline Block<CoefficientsType,1,Dynamic> diagonal(Index i)
|
||||
{
|
||||
eigen_assert((i<0 && -i<=subs()) || (i>=0 && i<=supers()));
|
||||
return Block<CoefficientsType,1,Dynamic>(coeffs(), supers()-i, std::max<Index>(0,i), 1, diagonalLength(i));
|
||||
}
|
||||
|
||||
/** \returns a vector expression of the \a i -th sub or super diagonal */
|
||||
inline const Block<const CoefficientsType,1,Dynamic> diagonal(Index i) const
|
||||
{
|
||||
eigen_assert((i<0 && -i<=subs()) || (i>=0 && i<=supers()));
|
||||
return Block<const CoefficientsType,1,Dynamic>(coeffs(), supers()-i, std::max<Index>(0,i), 1, diagonalLength(i));
|
||||
}
|
||||
|
||||
template<typename Dest> inline void evalTo(Dest& dst) const
|
||||
{
|
||||
dst.resize(rows(),cols());
|
||||
dst.setZero();
|
||||
dst.diagonal() = diagonal();
|
||||
for (Index i=1; i<=supers();++i)
|
||||
dst.diagonal(i) = diagonal(i);
|
||||
for (Index i=1; i<=subs();++i)
|
||||
dst.diagonal(-i) = diagonal(-i);
|
||||
}
|
||||
|
||||
DenseMatrixType toDenseMatrix() const
|
||||
{
|
||||
DenseMatrixType res(rows(),cols());
|
||||
evalTo(res);
|
||||
return res;
|
||||
}
|
||||
|
||||
protected:
|
||||
|
||||
inline Index diagonalLength(Index i) const
|
||||
{ return i<0 ? (std::min)(cols(),rows()+i) : (std::min)(rows(),cols()-i); }
|
||||
};
|
||||
|
||||
/**
|
||||
* \class BandMatrix
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Represents a rectangular matrix with a banded storage
|
||||
*
|
||||
* \tparam _Scalar Numeric type, i.e. float, double, int
|
||||
* \tparam _Rows Number of rows, or \b Dynamic
|
||||
* \tparam _Cols Number of columns, or \b Dynamic
|
||||
* \tparam _Supers Number of super diagonal
|
||||
* \tparam _Subs Number of sub diagonal
|
||||
* \tparam _Options A combination of either \b #RowMajor or \b #ColMajor, and of \b #SelfAdjoint
|
||||
* The former controls \ref TopicStorageOrders "storage order", and defaults to
|
||||
* column-major. The latter controls whether the matrix represents a selfadjoint
|
||||
* matrix in which case either Supers of Subs have to be null.
|
||||
*
|
||||
* \sa class TridiagonalMatrix
|
||||
*/
|
||||
|
||||
template<typename _Scalar, int _Rows, int _Cols, int _Supers, int _Subs, int _Options>
|
||||
struct traits<BandMatrix<_Scalar,_Rows,_Cols,_Supers,_Subs,_Options> >
|
||||
{
|
||||
typedef _Scalar Scalar;
|
||||
typedef Dense StorageKind;
|
||||
typedef Eigen::Index StorageIndex;
|
||||
enum {
|
||||
CoeffReadCost = NumTraits<Scalar>::ReadCost,
|
||||
RowsAtCompileTime = _Rows,
|
||||
ColsAtCompileTime = _Cols,
|
||||
MaxRowsAtCompileTime = _Rows,
|
||||
MaxColsAtCompileTime = _Cols,
|
||||
Flags = LvalueBit,
|
||||
Supers = _Supers,
|
||||
Subs = _Subs,
|
||||
Options = _Options,
|
||||
DataRowsAtCompileTime = ((Supers!=Dynamic) && (Subs!=Dynamic)) ? 1 + Supers + Subs : Dynamic
|
||||
};
|
||||
typedef Matrix<Scalar, DataRowsAtCompileTime, ColsAtCompileTime, int(Options) & int(RowMajor) ? RowMajor : ColMajor> CoefficientsType;
|
||||
};
|
||||
|
||||
template<typename _Scalar, int Rows, int Cols, int Supers, int Subs, int Options>
|
||||
class BandMatrix : public BandMatrixBase<BandMatrix<_Scalar,Rows,Cols,Supers,Subs,Options> >
|
||||
{
|
||||
public:
|
||||
|
||||
typedef typename internal::traits<BandMatrix>::Scalar Scalar;
|
||||
typedef typename internal::traits<BandMatrix>::StorageIndex StorageIndex;
|
||||
typedef typename internal::traits<BandMatrix>::CoefficientsType CoefficientsType;
|
||||
|
||||
explicit inline BandMatrix(Index rows=Rows, Index cols=Cols, Index supers=Supers, Index subs=Subs)
|
||||
: m_coeffs(1+supers+subs,cols),
|
||||
m_rows(rows), m_supers(supers), m_subs(subs)
|
||||
{
|
||||
}
|
||||
|
||||
/** \returns the number of columns */
|
||||
inline EIGEN_CONSTEXPR Index rows() const { return m_rows.value(); }
|
||||
|
||||
/** \returns the number of rows */
|
||||
inline EIGEN_CONSTEXPR Index cols() const { return m_coeffs.cols(); }
|
||||
|
||||
/** \returns the number of super diagonals */
|
||||
inline EIGEN_CONSTEXPR Index supers() const { return m_supers.value(); }
|
||||
|
||||
/** \returns the number of sub diagonals */
|
||||
inline EIGEN_CONSTEXPR Index subs() const { return m_subs.value(); }
|
||||
|
||||
inline const CoefficientsType& coeffs() const { return m_coeffs; }
|
||||
inline CoefficientsType& coeffs() { return m_coeffs; }
|
||||
|
||||
protected:
|
||||
|
||||
CoefficientsType m_coeffs;
|
||||
internal::variable_if_dynamic<Index, Rows> m_rows;
|
||||
internal::variable_if_dynamic<Index, Supers> m_supers;
|
||||
internal::variable_if_dynamic<Index, Subs> m_subs;
|
||||
};
|
||||
|
||||
template<typename _CoefficientsType,int _Rows, int _Cols, int _Supers, int _Subs,int _Options>
|
||||
class BandMatrixWrapper;
|
||||
|
||||
template<typename _CoefficientsType,int _Rows, int _Cols, int _Supers, int _Subs,int _Options>
|
||||
struct traits<BandMatrixWrapper<_CoefficientsType,_Rows,_Cols,_Supers,_Subs,_Options> >
|
||||
{
|
||||
typedef typename _CoefficientsType::Scalar Scalar;
|
||||
typedef typename _CoefficientsType::StorageKind StorageKind;
|
||||
typedef typename _CoefficientsType::StorageIndex StorageIndex;
|
||||
enum {
|
||||
CoeffReadCost = internal::traits<_CoefficientsType>::CoeffReadCost,
|
||||
RowsAtCompileTime = _Rows,
|
||||
ColsAtCompileTime = _Cols,
|
||||
MaxRowsAtCompileTime = _Rows,
|
||||
MaxColsAtCompileTime = _Cols,
|
||||
Flags = LvalueBit,
|
||||
Supers = _Supers,
|
||||
Subs = _Subs,
|
||||
Options = _Options,
|
||||
DataRowsAtCompileTime = ((Supers!=Dynamic) && (Subs!=Dynamic)) ? 1 + Supers + Subs : Dynamic
|
||||
};
|
||||
typedef _CoefficientsType CoefficientsType;
|
||||
};
|
||||
|
||||
template<typename _CoefficientsType,int _Rows, int _Cols, int _Supers, int _Subs,int _Options>
|
||||
class BandMatrixWrapper : public BandMatrixBase<BandMatrixWrapper<_CoefficientsType,_Rows,_Cols,_Supers,_Subs,_Options> >
|
||||
{
|
||||
public:
|
||||
|
||||
typedef typename internal::traits<BandMatrixWrapper>::Scalar Scalar;
|
||||
typedef typename internal::traits<BandMatrixWrapper>::CoefficientsType CoefficientsType;
|
||||
typedef typename internal::traits<BandMatrixWrapper>::StorageIndex StorageIndex;
|
||||
|
||||
explicit inline BandMatrixWrapper(const CoefficientsType& coeffs, Index rows=_Rows, Index cols=_Cols, Index supers=_Supers, Index subs=_Subs)
|
||||
: m_coeffs(coeffs),
|
||||
m_rows(rows), m_supers(supers), m_subs(subs)
|
||||
{
|
||||
EIGEN_UNUSED_VARIABLE(cols);
|
||||
//internal::assert(coeffs.cols()==cols() && (supers()+subs()+1)==coeffs.rows());
|
||||
}
|
||||
|
||||
/** \returns the number of columns */
|
||||
inline EIGEN_CONSTEXPR Index rows() const { return m_rows.value(); }
|
||||
|
||||
/** \returns the number of rows */
|
||||
inline EIGEN_CONSTEXPR Index cols() const { return m_coeffs.cols(); }
|
||||
|
||||
/** \returns the number of super diagonals */
|
||||
inline EIGEN_CONSTEXPR Index supers() const { return m_supers.value(); }
|
||||
|
||||
/** \returns the number of sub diagonals */
|
||||
inline EIGEN_CONSTEXPR Index subs() const { return m_subs.value(); }
|
||||
|
||||
inline const CoefficientsType& coeffs() const { return m_coeffs; }
|
||||
|
||||
protected:
|
||||
|
||||
const CoefficientsType& m_coeffs;
|
||||
internal::variable_if_dynamic<Index, _Rows> m_rows;
|
||||
internal::variable_if_dynamic<Index, _Supers> m_supers;
|
||||
internal::variable_if_dynamic<Index, _Subs> m_subs;
|
||||
};
|
||||
|
||||
/**
|
||||
* \class TridiagonalMatrix
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Represents a tridiagonal matrix with a compact banded storage
|
||||
*
|
||||
* \tparam Scalar Numeric type, i.e. float, double, int
|
||||
* \tparam Size Number of rows and cols, or \b Dynamic
|
||||
* \tparam Options Can be 0 or \b SelfAdjoint
|
||||
*
|
||||
* \sa class BandMatrix
|
||||
*/
|
||||
template<typename Scalar, int Size, int Options>
|
||||
class TridiagonalMatrix : public BandMatrix<Scalar,Size,Size,Options&SelfAdjoint?0:1,1,Options|RowMajor>
|
||||
{
|
||||
typedef BandMatrix<Scalar,Size,Size,Options&SelfAdjoint?0:1,1,Options|RowMajor> Base;
|
||||
typedef typename Base::StorageIndex StorageIndex;
|
||||
public:
|
||||
explicit TridiagonalMatrix(Index size = Size) : Base(size,size,Options&SelfAdjoint?0:1,1) {}
|
||||
|
||||
inline typename Base::template DiagonalIntReturnType<1>::Type super()
|
||||
{ return Base::template diagonal<1>(); }
|
||||
inline const typename Base::template DiagonalIntReturnType<1>::Type super() const
|
||||
{ return Base::template diagonal<1>(); }
|
||||
inline typename Base::template DiagonalIntReturnType<-1>::Type sub()
|
||||
{ return Base::template diagonal<-1>(); }
|
||||
inline const typename Base::template DiagonalIntReturnType<-1>::Type sub() const
|
||||
{ return Base::template diagonal<-1>(); }
|
||||
protected:
|
||||
};
|
||||
|
||||
|
||||
struct BandShape {};
|
||||
|
||||
template<typename _Scalar, int _Rows, int _Cols, int _Supers, int _Subs, int _Options>
|
||||
struct evaluator_traits<BandMatrix<_Scalar,_Rows,_Cols,_Supers,_Subs,_Options> >
|
||||
: public evaluator_traits_base<BandMatrix<_Scalar,_Rows,_Cols,_Supers,_Subs,_Options> >
|
||||
{
|
||||
typedef BandShape Shape;
|
||||
};
|
||||
|
||||
template<typename _CoefficientsType,int _Rows, int _Cols, int _Supers, int _Subs,int _Options>
|
||||
struct evaluator_traits<BandMatrixWrapper<_CoefficientsType,_Rows,_Cols,_Supers,_Subs,_Options> >
|
||||
: public evaluator_traits_base<BandMatrixWrapper<_CoefficientsType,_Rows,_Cols,_Supers,_Subs,_Options> >
|
||||
{
|
||||
typedef BandShape Shape;
|
||||
};
|
||||
|
||||
template<> struct AssignmentKind<DenseShape,BandShape> { typedef EigenBase2EigenBase Kind; };
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_BANDMATRIX_H
|
||||
|
|
@ -0,0 +1,448 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_BLOCK_H
|
||||
#define EIGEN_BLOCK_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
template<typename XprType, int BlockRows, int BlockCols, bool InnerPanel>
|
||||
struct traits<Block<XprType, BlockRows, BlockCols, InnerPanel> > : traits<XprType>
|
||||
{
|
||||
typedef typename traits<XprType>::Scalar Scalar;
|
||||
typedef typename traits<XprType>::StorageKind StorageKind;
|
||||
typedef typename traits<XprType>::XprKind XprKind;
|
||||
typedef typename ref_selector<XprType>::type XprTypeNested;
|
||||
typedef typename remove_reference<XprTypeNested>::type _XprTypeNested;
|
||||
enum{
|
||||
MatrixRows = traits<XprType>::RowsAtCompileTime,
|
||||
MatrixCols = traits<XprType>::ColsAtCompileTime,
|
||||
RowsAtCompileTime = MatrixRows == 0 ? 0 : BlockRows,
|
||||
ColsAtCompileTime = MatrixCols == 0 ? 0 : BlockCols,
|
||||
MaxRowsAtCompileTime = BlockRows==0 ? 0
|
||||
: RowsAtCompileTime != Dynamic ? int(RowsAtCompileTime)
|
||||
: int(traits<XprType>::MaxRowsAtCompileTime),
|
||||
MaxColsAtCompileTime = BlockCols==0 ? 0
|
||||
: ColsAtCompileTime != Dynamic ? int(ColsAtCompileTime)
|
||||
: int(traits<XprType>::MaxColsAtCompileTime),
|
||||
|
||||
XprTypeIsRowMajor = (int(traits<XprType>::Flags)&RowMajorBit) != 0,
|
||||
IsRowMajor = (MaxRowsAtCompileTime==1&&MaxColsAtCompileTime!=1) ? 1
|
||||
: (MaxColsAtCompileTime==1&&MaxRowsAtCompileTime!=1) ? 0
|
||||
: XprTypeIsRowMajor,
|
||||
HasSameStorageOrderAsXprType = (IsRowMajor == XprTypeIsRowMajor),
|
||||
InnerSize = IsRowMajor ? int(ColsAtCompileTime) : int(RowsAtCompileTime),
|
||||
InnerStrideAtCompileTime = HasSameStorageOrderAsXprType
|
||||
? int(inner_stride_at_compile_time<XprType>::ret)
|
||||
: int(outer_stride_at_compile_time<XprType>::ret),
|
||||
OuterStrideAtCompileTime = HasSameStorageOrderAsXprType
|
||||
? int(outer_stride_at_compile_time<XprType>::ret)
|
||||
: int(inner_stride_at_compile_time<XprType>::ret),
|
||||
|
||||
// FIXME, this traits is rather specialized for dense object and it needs to be cleaned further
|
||||
FlagsLvalueBit = is_lvalue<XprType>::value ? LvalueBit : 0,
|
||||
FlagsRowMajorBit = IsRowMajor ? RowMajorBit : 0,
|
||||
Flags = (traits<XprType>::Flags & (DirectAccessBit | (InnerPanel?CompressedAccessBit:0))) | FlagsLvalueBit | FlagsRowMajorBit,
|
||||
// FIXME DirectAccessBit should not be handled by expressions
|
||||
//
|
||||
// Alignment is needed by MapBase's assertions
|
||||
// We can sefely set it to false here. Internal alignment errors will be detected by an eigen_internal_assert in the respective evaluator
|
||||
Alignment = 0
|
||||
};
|
||||
};
|
||||
|
||||
template<typename XprType, int BlockRows=Dynamic, int BlockCols=Dynamic, bool InnerPanel = false,
|
||||
bool HasDirectAccess = internal::has_direct_access<XprType>::ret> class BlockImpl_dense;
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
template<typename XprType, int BlockRows, int BlockCols, bool InnerPanel, typename StorageKind> class BlockImpl;
|
||||
|
||||
/** \class Block
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Expression of a fixed-size or dynamic-size block
|
||||
*
|
||||
* \tparam XprType the type of the expression in which we are taking a block
|
||||
* \tparam BlockRows the number of rows of the block we are taking at compile time (optional)
|
||||
* \tparam BlockCols the number of columns of the block we are taking at compile time (optional)
|
||||
* \tparam InnerPanel is true, if the block maps to a set of rows of a row major matrix or
|
||||
* to set of columns of a column major matrix (optional). The parameter allows to determine
|
||||
* at compile time whether aligned access is possible on the block expression.
|
||||
*
|
||||
* This class represents an expression of either a fixed-size or dynamic-size block. It is the return
|
||||
* type of DenseBase::block(Index,Index,Index,Index) and DenseBase::block<int,int>(Index,Index) and
|
||||
* most of the time this is the only way it is used.
|
||||
*
|
||||
* However, if you want to directly maniputate block expressions,
|
||||
* for instance if you want to write a function returning such an expression, you
|
||||
* will need to use this class.
|
||||
*
|
||||
* Here is an example illustrating the dynamic case:
|
||||
* \include class_Block.cpp
|
||||
* Output: \verbinclude class_Block.out
|
||||
*
|
||||
* \note Even though this expression has dynamic size, in the case where \a XprType
|
||||
* has fixed size, this expression inherits a fixed maximal size which means that evaluating
|
||||
* it does not cause a dynamic memory allocation.
|
||||
*
|
||||
* Here is an example illustrating the fixed-size case:
|
||||
* \include class_FixedBlock.cpp
|
||||
* Output: \verbinclude class_FixedBlock.out
|
||||
*
|
||||
* \sa DenseBase::block(Index,Index,Index,Index), DenseBase::block(Index,Index), class VectorBlock
|
||||
*/
|
||||
template<typename XprType, int BlockRows, int BlockCols, bool InnerPanel> class Block
|
||||
: public BlockImpl<XprType, BlockRows, BlockCols, InnerPanel, typename internal::traits<XprType>::StorageKind>
|
||||
{
|
||||
typedef BlockImpl<XprType, BlockRows, BlockCols, InnerPanel, typename internal::traits<XprType>::StorageKind> Impl;
|
||||
public:
|
||||
//typedef typename Impl::Base Base;
|
||||
typedef Impl Base;
|
||||
EIGEN_GENERIC_PUBLIC_INTERFACE(Block)
|
||||
EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Block)
|
||||
|
||||
typedef typename internal::remove_all<XprType>::type NestedExpression;
|
||||
|
||||
/** Column or Row constructor
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Block(XprType& xpr, Index i) : Impl(xpr,i)
|
||||
{
|
||||
eigen_assert( (i>=0) && (
|
||||
((BlockRows==1) && (BlockCols==XprType::ColsAtCompileTime) && i<xpr.rows())
|
||||
||((BlockRows==XprType::RowsAtCompileTime) && (BlockCols==1) && i<xpr.cols())));
|
||||
}
|
||||
|
||||
/** Fixed-size constructor
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Block(XprType& xpr, Index startRow, Index startCol)
|
||||
: Impl(xpr, startRow, startCol)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(RowsAtCompileTime!=Dynamic && ColsAtCompileTime!=Dynamic,THIS_METHOD_IS_ONLY_FOR_FIXED_SIZE)
|
||||
eigen_assert(startRow >= 0 && BlockRows >= 0 && startRow + BlockRows <= xpr.rows()
|
||||
&& startCol >= 0 && BlockCols >= 0 && startCol + BlockCols <= xpr.cols());
|
||||
}
|
||||
|
||||
/** Dynamic-size constructor
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Block(XprType& xpr,
|
||||
Index startRow, Index startCol,
|
||||
Index blockRows, Index blockCols)
|
||||
: Impl(xpr, startRow, startCol, blockRows, blockCols)
|
||||
{
|
||||
eigen_assert((RowsAtCompileTime==Dynamic || RowsAtCompileTime==blockRows)
|
||||
&& (ColsAtCompileTime==Dynamic || ColsAtCompileTime==blockCols));
|
||||
eigen_assert(startRow >= 0 && blockRows >= 0 && startRow <= xpr.rows() - blockRows
|
||||
&& startCol >= 0 && blockCols >= 0 && startCol <= xpr.cols() - blockCols);
|
||||
}
|
||||
};
|
||||
|
||||
// The generic default implementation for dense block simplu forward to the internal::BlockImpl_dense
|
||||
// that must be specialized for direct and non-direct access...
|
||||
template<typename XprType, int BlockRows, int BlockCols, bool InnerPanel>
|
||||
class BlockImpl<XprType, BlockRows, BlockCols, InnerPanel, Dense>
|
||||
: public internal::BlockImpl_dense<XprType, BlockRows, BlockCols, InnerPanel>
|
||||
{
|
||||
typedef internal::BlockImpl_dense<XprType, BlockRows, BlockCols, InnerPanel> Impl;
|
||||
typedef typename XprType::StorageIndex StorageIndex;
|
||||
public:
|
||||
typedef Impl Base;
|
||||
EIGEN_INHERIT_ASSIGNMENT_OPERATORS(BlockImpl)
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE BlockImpl(XprType& xpr, Index i) : Impl(xpr,i) {}
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE BlockImpl(XprType& xpr, Index startRow, Index startCol) : Impl(xpr, startRow, startCol) {}
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE BlockImpl(XprType& xpr, Index startRow, Index startCol, Index blockRows, Index blockCols)
|
||||
: Impl(xpr, startRow, startCol, blockRows, blockCols) {}
|
||||
};
|
||||
|
||||
namespace internal {
|
||||
|
||||
/** \internal Internal implementation of dense Blocks in the general case. */
|
||||
template<typename XprType, int BlockRows, int BlockCols, bool InnerPanel, bool HasDirectAccess> class BlockImpl_dense
|
||||
: public internal::dense_xpr_base<Block<XprType, BlockRows, BlockCols, InnerPanel> >::type
|
||||
{
|
||||
typedef Block<XprType, BlockRows, BlockCols, InnerPanel> BlockType;
|
||||
typedef typename internal::ref_selector<XprType>::non_const_type XprTypeNested;
|
||||
public:
|
||||
|
||||
typedef typename internal::dense_xpr_base<BlockType>::type Base;
|
||||
EIGEN_DENSE_PUBLIC_INTERFACE(BlockType)
|
||||
EIGEN_INHERIT_ASSIGNMENT_OPERATORS(BlockImpl_dense)
|
||||
|
||||
// class InnerIterator; // FIXME apparently never used
|
||||
|
||||
/** Column or Row constructor
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline BlockImpl_dense(XprType& xpr, Index i)
|
||||
: m_xpr(xpr),
|
||||
// It is a row if and only if BlockRows==1 and BlockCols==XprType::ColsAtCompileTime,
|
||||
// and it is a column if and only if BlockRows==XprType::RowsAtCompileTime and BlockCols==1,
|
||||
// all other cases are invalid.
|
||||
// The case a 1x1 matrix seems ambiguous, but the result is the same anyway.
|
||||
m_startRow( (BlockRows==1) && (BlockCols==XprType::ColsAtCompileTime) ? i : 0),
|
||||
m_startCol( (BlockRows==XprType::RowsAtCompileTime) && (BlockCols==1) ? i : 0),
|
||||
m_blockRows(BlockRows==1 ? 1 : xpr.rows()),
|
||||
m_blockCols(BlockCols==1 ? 1 : xpr.cols())
|
||||
{}
|
||||
|
||||
/** Fixed-size constructor
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline BlockImpl_dense(XprType& xpr, Index startRow, Index startCol)
|
||||
: m_xpr(xpr), m_startRow(startRow), m_startCol(startCol),
|
||||
m_blockRows(BlockRows), m_blockCols(BlockCols)
|
||||
{}
|
||||
|
||||
/** Dynamic-size constructor
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline BlockImpl_dense(XprType& xpr,
|
||||
Index startRow, Index startCol,
|
||||
Index blockRows, Index blockCols)
|
||||
: m_xpr(xpr), m_startRow(startRow), m_startCol(startCol),
|
||||
m_blockRows(blockRows), m_blockCols(blockCols)
|
||||
{}
|
||||
|
||||
EIGEN_DEVICE_FUNC inline Index rows() const { return m_blockRows.value(); }
|
||||
EIGEN_DEVICE_FUNC inline Index cols() const { return m_blockCols.value(); }
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline Scalar& coeffRef(Index rowId, Index colId)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT_LVALUE(XprType)
|
||||
return m_xpr.coeffRef(rowId + m_startRow.value(), colId + m_startCol.value());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Scalar& coeffRef(Index rowId, Index colId) const
|
||||
{
|
||||
return m_xpr.derived().coeffRef(rowId + m_startRow.value(), colId + m_startCol.value());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE const CoeffReturnType coeff(Index rowId, Index colId) const
|
||||
{
|
||||
return m_xpr.coeff(rowId + m_startRow.value(), colId + m_startCol.value());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline Scalar& coeffRef(Index index)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT_LVALUE(XprType)
|
||||
return m_xpr.coeffRef(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index),
|
||||
m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0));
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Scalar& coeffRef(Index index) const
|
||||
{
|
||||
return m_xpr.coeffRef(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index),
|
||||
m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0));
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const CoeffReturnType coeff(Index index) const
|
||||
{
|
||||
return m_xpr.coeff(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index),
|
||||
m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0));
|
||||
}
|
||||
|
||||
template<int LoadMode>
|
||||
inline PacketScalar packet(Index rowId, Index colId) const
|
||||
{
|
||||
return m_xpr.template packet<Unaligned>(rowId + m_startRow.value(), colId + m_startCol.value());
|
||||
}
|
||||
|
||||
template<int LoadMode>
|
||||
inline void writePacket(Index rowId, Index colId, const PacketScalar& val)
|
||||
{
|
||||
m_xpr.template writePacket<Unaligned>(rowId + m_startRow.value(), colId + m_startCol.value(), val);
|
||||
}
|
||||
|
||||
template<int LoadMode>
|
||||
inline PacketScalar packet(Index index) const
|
||||
{
|
||||
return m_xpr.template packet<Unaligned>
|
||||
(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index),
|
||||
m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0));
|
||||
}
|
||||
|
||||
template<int LoadMode>
|
||||
inline void writePacket(Index index, const PacketScalar& val)
|
||||
{
|
||||
m_xpr.template writePacket<Unaligned>
|
||||
(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index),
|
||||
m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0), val);
|
||||
}
|
||||
|
||||
#ifdef EIGEN_PARSED_BY_DOXYGEN
|
||||
/** \sa MapBase::data() */
|
||||
EIGEN_DEVICE_FUNC inline const Scalar* data() const;
|
||||
EIGEN_DEVICE_FUNC inline Index innerStride() const;
|
||||
EIGEN_DEVICE_FUNC inline Index outerStride() const;
|
||||
#endif
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
const typename internal::remove_all<XprTypeNested>::type& nestedExpression() const
|
||||
{
|
||||
return m_xpr;
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
XprType& nestedExpression() { return m_xpr; }
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
StorageIndex startRow() const EIGEN_NOEXCEPT
|
||||
{
|
||||
return m_startRow.value();
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
StorageIndex startCol() const EIGEN_NOEXCEPT
|
||||
{
|
||||
return m_startCol.value();
|
||||
}
|
||||
|
||||
protected:
|
||||
|
||||
XprTypeNested m_xpr;
|
||||
const internal::variable_if_dynamic<StorageIndex, (XprType::RowsAtCompileTime == 1 && BlockRows==1) ? 0 : Dynamic> m_startRow;
|
||||
const internal::variable_if_dynamic<StorageIndex, (XprType::ColsAtCompileTime == 1 && BlockCols==1) ? 0 : Dynamic> m_startCol;
|
||||
const internal::variable_if_dynamic<StorageIndex, RowsAtCompileTime> m_blockRows;
|
||||
const internal::variable_if_dynamic<StorageIndex, ColsAtCompileTime> m_blockCols;
|
||||
};
|
||||
|
||||
/** \internal Internal implementation of dense Blocks in the direct access case.*/
|
||||
template<typename XprType, int BlockRows, int BlockCols, bool InnerPanel>
|
||||
class BlockImpl_dense<XprType,BlockRows,BlockCols, InnerPanel,true>
|
||||
: public MapBase<Block<XprType, BlockRows, BlockCols, InnerPanel> >
|
||||
{
|
||||
typedef Block<XprType, BlockRows, BlockCols, InnerPanel> BlockType;
|
||||
typedef typename internal::ref_selector<XprType>::non_const_type XprTypeNested;
|
||||
enum {
|
||||
XprTypeIsRowMajor = (int(traits<XprType>::Flags)&RowMajorBit) != 0
|
||||
};
|
||||
public:
|
||||
|
||||
typedef MapBase<BlockType> Base;
|
||||
EIGEN_DENSE_PUBLIC_INTERFACE(BlockType)
|
||||
EIGEN_INHERIT_ASSIGNMENT_OPERATORS(BlockImpl_dense)
|
||||
|
||||
/** Column or Row constructor
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
BlockImpl_dense(XprType& xpr, Index i)
|
||||
: Base(xpr.data() + i * ( ((BlockRows==1) && (BlockCols==XprType::ColsAtCompileTime) && (!XprTypeIsRowMajor))
|
||||
|| ((BlockRows==XprType::RowsAtCompileTime) && (BlockCols==1) && ( XprTypeIsRowMajor)) ? xpr.innerStride() : xpr.outerStride()),
|
||||
BlockRows==1 ? 1 : xpr.rows(),
|
||||
BlockCols==1 ? 1 : xpr.cols()),
|
||||
m_xpr(xpr),
|
||||
m_startRow( (BlockRows==1) && (BlockCols==XprType::ColsAtCompileTime) ? i : 0),
|
||||
m_startCol( (BlockRows==XprType::RowsAtCompileTime) && (BlockCols==1) ? i : 0)
|
||||
{
|
||||
init();
|
||||
}
|
||||
|
||||
/** Fixed-size constructor
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
BlockImpl_dense(XprType& xpr, Index startRow, Index startCol)
|
||||
: Base(xpr.data()+xpr.innerStride()*(XprTypeIsRowMajor?startCol:startRow) + xpr.outerStride()*(XprTypeIsRowMajor?startRow:startCol)),
|
||||
m_xpr(xpr), m_startRow(startRow), m_startCol(startCol)
|
||||
{
|
||||
init();
|
||||
}
|
||||
|
||||
/** Dynamic-size constructor
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
BlockImpl_dense(XprType& xpr,
|
||||
Index startRow, Index startCol,
|
||||
Index blockRows, Index blockCols)
|
||||
: Base(xpr.data()+xpr.innerStride()*(XprTypeIsRowMajor?startCol:startRow) + xpr.outerStride()*(XprTypeIsRowMajor?startRow:startCol), blockRows, blockCols),
|
||||
m_xpr(xpr), m_startRow(startRow), m_startCol(startCol)
|
||||
{
|
||||
init();
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
const typename internal::remove_all<XprTypeNested>::type& nestedExpression() const EIGEN_NOEXCEPT
|
||||
{
|
||||
return m_xpr;
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
XprType& nestedExpression() { return m_xpr; }
|
||||
|
||||
/** \sa MapBase::innerStride() */
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
Index innerStride() const EIGEN_NOEXCEPT
|
||||
{
|
||||
return internal::traits<BlockType>::HasSameStorageOrderAsXprType
|
||||
? m_xpr.innerStride()
|
||||
: m_xpr.outerStride();
|
||||
}
|
||||
|
||||
/** \sa MapBase::outerStride() */
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
Index outerStride() const EIGEN_NOEXCEPT
|
||||
{
|
||||
return internal::traits<BlockType>::HasSameStorageOrderAsXprType
|
||||
? m_xpr.outerStride()
|
||||
: m_xpr.innerStride();
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
StorageIndex startRow() const EIGEN_NOEXCEPT { return m_startRow.value(); }
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
StorageIndex startCol() const EIGEN_NOEXCEPT { return m_startCol.value(); }
|
||||
|
||||
#ifndef __SUNPRO_CC
|
||||
// FIXME sunstudio is not friendly with the above friend...
|
||||
// META-FIXME there is no 'friend' keyword around here. Is this obsolete?
|
||||
protected:
|
||||
#endif
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
/** \internal used by allowAligned() */
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
BlockImpl_dense(XprType& xpr, const Scalar* data, Index blockRows, Index blockCols)
|
||||
: Base(data, blockRows, blockCols), m_xpr(xpr)
|
||||
{
|
||||
init();
|
||||
}
|
||||
#endif
|
||||
|
||||
protected:
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
void init()
|
||||
{
|
||||
m_outerStride = internal::traits<BlockType>::HasSameStorageOrderAsXprType
|
||||
? m_xpr.outerStride()
|
||||
: m_xpr.innerStride();
|
||||
}
|
||||
|
||||
XprTypeNested m_xpr;
|
||||
const internal::variable_if_dynamic<StorageIndex, (XprType::RowsAtCompileTime == 1 && BlockRows==1) ? 0 : Dynamic> m_startRow;
|
||||
const internal::variable_if_dynamic<StorageIndex, (XprType::ColsAtCompileTime == 1 && BlockCols==1) ? 0 : Dynamic> m_startCol;
|
||||
Index m_outerStride;
|
||||
};
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_BLOCK_H
|
||||
|
|
@ -0,0 +1,162 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_ALLANDANY_H
|
||||
#define EIGEN_ALLANDANY_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<typename Derived, int UnrollCount, int Rows>
|
||||
struct all_unroller
|
||||
{
|
||||
enum {
|
||||
col = (UnrollCount-1) / Rows,
|
||||
row = (UnrollCount-1) % Rows
|
||||
};
|
||||
|
||||
EIGEN_DEVICE_FUNC static inline bool run(const Derived &mat)
|
||||
{
|
||||
return all_unroller<Derived, UnrollCount-1, Rows>::run(mat) && mat.coeff(row, col);
|
||||
}
|
||||
};
|
||||
|
||||
template<typename Derived, int Rows>
|
||||
struct all_unroller<Derived, 0, Rows>
|
||||
{
|
||||
EIGEN_DEVICE_FUNC static inline bool run(const Derived &/*mat*/) { return true; }
|
||||
};
|
||||
|
||||
template<typename Derived, int Rows>
|
||||
struct all_unroller<Derived, Dynamic, Rows>
|
||||
{
|
||||
EIGEN_DEVICE_FUNC static inline bool run(const Derived &) { return false; }
|
||||
};
|
||||
|
||||
template<typename Derived, int UnrollCount, int Rows>
|
||||
struct any_unroller
|
||||
{
|
||||
enum {
|
||||
col = (UnrollCount-1) / Rows,
|
||||
row = (UnrollCount-1) % Rows
|
||||
};
|
||||
|
||||
EIGEN_DEVICE_FUNC static inline bool run(const Derived &mat)
|
||||
{
|
||||
return any_unroller<Derived, UnrollCount-1, Rows>::run(mat) || mat.coeff(row, col);
|
||||
}
|
||||
};
|
||||
|
||||
template<typename Derived, int Rows>
|
||||
struct any_unroller<Derived, 0, Rows>
|
||||
{
|
||||
EIGEN_DEVICE_FUNC static inline bool run(const Derived & /*mat*/) { return false; }
|
||||
};
|
||||
|
||||
template<typename Derived, int Rows>
|
||||
struct any_unroller<Derived, Dynamic, Rows>
|
||||
{
|
||||
EIGEN_DEVICE_FUNC static inline bool run(const Derived &) { return false; }
|
||||
};
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
/** \returns true if all coefficients are true
|
||||
*
|
||||
* Example: \include MatrixBase_all.cpp
|
||||
* Output: \verbinclude MatrixBase_all.out
|
||||
*
|
||||
* \sa any(), Cwise::operator<()
|
||||
*/
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC inline bool DenseBase<Derived>::all() const
|
||||
{
|
||||
typedef internal::evaluator<Derived> Evaluator;
|
||||
enum {
|
||||
unroll = SizeAtCompileTime != Dynamic
|
||||
&& SizeAtCompileTime * (int(Evaluator::CoeffReadCost) + int(NumTraits<Scalar>::AddCost)) <= EIGEN_UNROLLING_LIMIT
|
||||
};
|
||||
Evaluator evaluator(derived());
|
||||
if(unroll)
|
||||
return internal::all_unroller<Evaluator, unroll ? int(SizeAtCompileTime) : Dynamic, internal::traits<Derived>::RowsAtCompileTime>::run(evaluator);
|
||||
else
|
||||
{
|
||||
for(Index j = 0; j < cols(); ++j)
|
||||
for(Index i = 0; i < rows(); ++i)
|
||||
if (!evaluator.coeff(i, j)) return false;
|
||||
return true;
|
||||
}
|
||||
}
|
||||
|
||||
/** \returns true if at least one coefficient is true
|
||||
*
|
||||
* \sa all()
|
||||
*/
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC inline bool DenseBase<Derived>::any() const
|
||||
{
|
||||
typedef internal::evaluator<Derived> Evaluator;
|
||||
enum {
|
||||
unroll = SizeAtCompileTime != Dynamic
|
||||
&& SizeAtCompileTime * (int(Evaluator::CoeffReadCost) + int(NumTraits<Scalar>::AddCost)) <= EIGEN_UNROLLING_LIMIT
|
||||
};
|
||||
Evaluator evaluator(derived());
|
||||
if(unroll)
|
||||
return internal::any_unroller<Evaluator, unroll ? int(SizeAtCompileTime) : Dynamic, internal::traits<Derived>::RowsAtCompileTime>::run(evaluator);
|
||||
else
|
||||
{
|
||||
for(Index j = 0; j < cols(); ++j)
|
||||
for(Index i = 0; i < rows(); ++i)
|
||||
if (evaluator.coeff(i, j)) return true;
|
||||
return false;
|
||||
}
|
||||
}
|
||||
|
||||
/** \returns the number of coefficients which evaluate to true
|
||||
*
|
||||
* \sa all(), any()
|
||||
*/
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC inline Eigen::Index DenseBase<Derived>::count() const
|
||||
{
|
||||
return derived().template cast<bool>().template cast<Index>().sum();
|
||||
}
|
||||
|
||||
/** \returns true is \c *this contains at least one Not A Number (NaN).
|
||||
*
|
||||
* \sa allFinite()
|
||||
*/
|
||||
template<typename Derived>
|
||||
inline bool DenseBase<Derived>::hasNaN() const
|
||||
{
|
||||
#if EIGEN_COMP_MSVC || (defined __FAST_MATH__)
|
||||
return derived().array().isNaN().any();
|
||||
#else
|
||||
return !((derived().array()==derived().array()).all());
|
||||
#endif
|
||||
}
|
||||
|
||||
/** \returns true if \c *this contains only finite numbers, i.e., no NaN and no +/-INF values.
|
||||
*
|
||||
* \sa hasNaN()
|
||||
*/
|
||||
template<typename Derived>
|
||||
inline bool DenseBase<Derived>::allFinite() const
|
||||
{
|
||||
#if EIGEN_COMP_MSVC || (defined __FAST_MATH__)
|
||||
return derived().array().isFinite().all();
|
||||
#else
|
||||
return !((derived()-derived()).hasNaN());
|
||||
#endif
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_ALLANDANY_H
|
||||
|
|
@ -0,0 +1,164 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_COMMAINITIALIZER_H
|
||||
#define EIGEN_COMMAINITIALIZER_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
/** \class CommaInitializer
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Helper class used by the comma initializer operator
|
||||
*
|
||||
* This class is internally used to implement the comma initializer feature. It is
|
||||
* the return type of MatrixBase::operator<<, and most of the time this is the only
|
||||
* way it is used.
|
||||
*
|
||||
* \sa \blank \ref MatrixBaseCommaInitRef "MatrixBase::operator<<", CommaInitializer::finished()
|
||||
*/
|
||||
template<typename XprType>
|
||||
struct CommaInitializer
|
||||
{
|
||||
typedef typename XprType::Scalar Scalar;
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline CommaInitializer(XprType& xpr, const Scalar& s)
|
||||
: m_xpr(xpr), m_row(0), m_col(1), m_currentBlockRows(1)
|
||||
{
|
||||
eigen_assert(m_xpr.rows() > 0 && m_xpr.cols() > 0
|
||||
&& "Cannot comma-initialize a 0x0 matrix (operator<<)");
|
||||
m_xpr.coeffRef(0,0) = s;
|
||||
}
|
||||
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline CommaInitializer(XprType& xpr, const DenseBase<OtherDerived>& other)
|
||||
: m_xpr(xpr), m_row(0), m_col(other.cols()), m_currentBlockRows(other.rows())
|
||||
{
|
||||
eigen_assert(m_xpr.rows() >= other.rows() && m_xpr.cols() >= other.cols()
|
||||
&& "Cannot comma-initialize a 0x0 matrix (operator<<)");
|
||||
m_xpr.block(0, 0, other.rows(), other.cols()) = other;
|
||||
}
|
||||
|
||||
/* Copy/Move constructor which transfers ownership. This is crucial in
|
||||
* absence of return value optimization to avoid assertions during destruction. */
|
||||
// FIXME in C++11 mode this could be replaced by a proper RValue constructor
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline CommaInitializer(const CommaInitializer& o)
|
||||
: m_xpr(o.m_xpr), m_row(o.m_row), m_col(o.m_col), m_currentBlockRows(o.m_currentBlockRows) {
|
||||
// Mark original object as finished. In absence of R-value references we need to const_cast:
|
||||
const_cast<CommaInitializer&>(o).m_row = m_xpr.rows();
|
||||
const_cast<CommaInitializer&>(o).m_col = m_xpr.cols();
|
||||
const_cast<CommaInitializer&>(o).m_currentBlockRows = 0;
|
||||
}
|
||||
|
||||
/* inserts a scalar value in the target matrix */
|
||||
EIGEN_DEVICE_FUNC
|
||||
CommaInitializer& operator,(const Scalar& s)
|
||||
{
|
||||
if (m_col==m_xpr.cols())
|
||||
{
|
||||
m_row+=m_currentBlockRows;
|
||||
m_col = 0;
|
||||
m_currentBlockRows = 1;
|
||||
eigen_assert(m_row<m_xpr.rows()
|
||||
&& "Too many rows passed to comma initializer (operator<<)");
|
||||
}
|
||||
eigen_assert(m_col<m_xpr.cols()
|
||||
&& "Too many coefficients passed to comma initializer (operator<<)");
|
||||
eigen_assert(m_currentBlockRows==1);
|
||||
m_xpr.coeffRef(m_row, m_col++) = s;
|
||||
return *this;
|
||||
}
|
||||
|
||||
/* inserts a matrix expression in the target matrix */
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
CommaInitializer& operator,(const DenseBase<OtherDerived>& other)
|
||||
{
|
||||
if (m_col==m_xpr.cols() && (other.cols()!=0 || other.rows()!=m_currentBlockRows))
|
||||
{
|
||||
m_row+=m_currentBlockRows;
|
||||
m_col = 0;
|
||||
m_currentBlockRows = other.rows();
|
||||
eigen_assert(m_row+m_currentBlockRows<=m_xpr.rows()
|
||||
&& "Too many rows passed to comma initializer (operator<<)");
|
||||
}
|
||||
eigen_assert((m_col + other.cols() <= m_xpr.cols())
|
||||
&& "Too many coefficients passed to comma initializer (operator<<)");
|
||||
eigen_assert(m_currentBlockRows==other.rows());
|
||||
m_xpr.template block<OtherDerived::RowsAtCompileTime, OtherDerived::ColsAtCompileTime>
|
||||
(m_row, m_col, other.rows(), other.cols()) = other;
|
||||
m_col += other.cols();
|
||||
return *this;
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline ~CommaInitializer()
|
||||
#if defined VERIFY_RAISES_ASSERT && (!defined EIGEN_NO_ASSERTION_CHECKING) && defined EIGEN_EXCEPTIONS
|
||||
EIGEN_EXCEPTION_SPEC(Eigen::eigen_assert_exception)
|
||||
#endif
|
||||
{
|
||||
finished();
|
||||
}
|
||||
|
||||
/** \returns the built matrix once all its coefficients have been set.
|
||||
* Calling finished is 100% optional. Its purpose is to write expressions
|
||||
* like this:
|
||||
* \code
|
||||
* quaternion.fromRotationMatrix((Matrix3f() << axis0, axis1, axis2).finished());
|
||||
* \endcode
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline XprType& finished() {
|
||||
eigen_assert(((m_row+m_currentBlockRows) == m_xpr.rows() || m_xpr.cols() == 0)
|
||||
&& m_col == m_xpr.cols()
|
||||
&& "Too few coefficients passed to comma initializer (operator<<)");
|
||||
return m_xpr;
|
||||
}
|
||||
|
||||
XprType& m_xpr; // target expression
|
||||
Index m_row; // current row id
|
||||
Index m_col; // current col id
|
||||
Index m_currentBlockRows; // current block height
|
||||
};
|
||||
|
||||
/** \anchor MatrixBaseCommaInitRef
|
||||
* Convenient operator to set the coefficients of a matrix.
|
||||
*
|
||||
* The coefficients must be provided in a row major order and exactly match
|
||||
* the size of the matrix. Otherwise an assertion is raised.
|
||||
*
|
||||
* Example: \include MatrixBase_set.cpp
|
||||
* Output: \verbinclude MatrixBase_set.out
|
||||
*
|
||||
* \note According the c++ standard, the argument expressions of this comma initializer are evaluated in arbitrary order.
|
||||
*
|
||||
* \sa CommaInitializer::finished(), class CommaInitializer
|
||||
*/
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC inline CommaInitializer<Derived> DenseBase<Derived>::operator<< (const Scalar& s)
|
||||
{
|
||||
return CommaInitializer<Derived>(*static_cast<Derived*>(this), s);
|
||||
}
|
||||
|
||||
/** \sa operator<<(const Scalar&) */
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC inline CommaInitializer<Derived>
|
||||
DenseBase<Derived>::operator<<(const DenseBase<OtherDerived>& other)
|
||||
{
|
||||
return CommaInitializer<Derived>(*static_cast<Derived *>(this), other);
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_COMMAINITIALIZER_H
|
||||
|
|
@ -0,0 +1,175 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2016 Rasmus Munk Larsen (rmlarsen@google.com)
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_CONDITIONESTIMATOR_H
|
||||
#define EIGEN_CONDITIONESTIMATOR_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
|
||||
template <typename Vector, typename RealVector, bool IsComplex>
|
||||
struct rcond_compute_sign {
|
||||
static inline Vector run(const Vector& v) {
|
||||
const RealVector v_abs = v.cwiseAbs();
|
||||
return (v_abs.array() == static_cast<typename Vector::RealScalar>(0))
|
||||
.select(Vector::Ones(v.size()), v.cwiseQuotient(v_abs));
|
||||
}
|
||||
};
|
||||
|
||||
// Partial specialization to avoid elementwise division for real vectors.
|
||||
template <typename Vector>
|
||||
struct rcond_compute_sign<Vector, Vector, false> {
|
||||
static inline Vector run(const Vector& v) {
|
||||
return (v.array() < static_cast<typename Vector::RealScalar>(0))
|
||||
.select(-Vector::Ones(v.size()), Vector::Ones(v.size()));
|
||||
}
|
||||
};
|
||||
|
||||
/**
|
||||
* \returns an estimate of ||inv(matrix)||_1 given a decomposition of
|
||||
* \a matrix that implements .solve() and .adjoint().solve() methods.
|
||||
*
|
||||
* This function implements Algorithms 4.1 and 5.1 from
|
||||
* http://www.maths.manchester.ac.uk/~higham/narep/narep135.pdf
|
||||
* which also forms the basis for the condition number estimators in
|
||||
* LAPACK. Since at most 10 calls to the solve method of dec are
|
||||
* performed, the total cost is O(dims^2), as opposed to O(dims^3)
|
||||
* needed to compute the inverse matrix explicitly.
|
||||
*
|
||||
* The most common usage is in estimating the condition number
|
||||
* ||matrix||_1 * ||inv(matrix)||_1. The first term ||matrix||_1 can be
|
||||
* computed directly in O(n^2) operations.
|
||||
*
|
||||
* Supports the following decompositions: FullPivLU, PartialPivLU, LDLT, and
|
||||
* LLT.
|
||||
*
|
||||
* \sa FullPivLU, PartialPivLU, LDLT, LLT.
|
||||
*/
|
||||
template <typename Decomposition>
|
||||
typename Decomposition::RealScalar rcond_invmatrix_L1_norm_estimate(const Decomposition& dec)
|
||||
{
|
||||
typedef typename Decomposition::MatrixType MatrixType;
|
||||
typedef typename Decomposition::Scalar Scalar;
|
||||
typedef typename Decomposition::RealScalar RealScalar;
|
||||
typedef typename internal::plain_col_type<MatrixType>::type Vector;
|
||||
typedef typename internal::plain_col_type<MatrixType, RealScalar>::type RealVector;
|
||||
const bool is_complex = (NumTraits<Scalar>::IsComplex != 0);
|
||||
|
||||
eigen_assert(dec.rows() == dec.cols());
|
||||
const Index n = dec.rows();
|
||||
if (n == 0)
|
||||
return 0;
|
||||
|
||||
// Disable Index to float conversion warning
|
||||
#ifdef __INTEL_COMPILER
|
||||
#pragma warning push
|
||||
#pragma warning ( disable : 2259 )
|
||||
#endif
|
||||
Vector v = dec.solve(Vector::Ones(n) / Scalar(n));
|
||||
#ifdef __INTEL_COMPILER
|
||||
#pragma warning pop
|
||||
#endif
|
||||
|
||||
// lower_bound is a lower bound on
|
||||
// ||inv(matrix)||_1 = sup_v ||inv(matrix) v||_1 / ||v||_1
|
||||
// and is the objective maximized by the ("super-") gradient ascent
|
||||
// algorithm below.
|
||||
RealScalar lower_bound = v.template lpNorm<1>();
|
||||
if (n == 1)
|
||||
return lower_bound;
|
||||
|
||||
// Gradient ascent algorithm follows: We know that the optimum is achieved at
|
||||
// one of the simplices v = e_i, so in each iteration we follow a
|
||||
// super-gradient to move towards the optimal one.
|
||||
RealScalar old_lower_bound = lower_bound;
|
||||
Vector sign_vector(n);
|
||||
Vector old_sign_vector;
|
||||
Index v_max_abs_index = -1;
|
||||
Index old_v_max_abs_index = v_max_abs_index;
|
||||
for (int k = 0; k < 4; ++k)
|
||||
{
|
||||
sign_vector = internal::rcond_compute_sign<Vector, RealVector, is_complex>::run(v);
|
||||
if (k > 0 && !is_complex && sign_vector == old_sign_vector) {
|
||||
// Break if the solution stagnated.
|
||||
break;
|
||||
}
|
||||
// v_max_abs_index = argmax |real( inv(matrix)^T * sign_vector )|
|
||||
v = dec.adjoint().solve(sign_vector);
|
||||
v.real().cwiseAbs().maxCoeff(&v_max_abs_index);
|
||||
if (v_max_abs_index == old_v_max_abs_index) {
|
||||
// Break if the solution stagnated.
|
||||
break;
|
||||
}
|
||||
// Move to the new simplex e_j, where j = v_max_abs_index.
|
||||
v = dec.solve(Vector::Unit(n, v_max_abs_index)); // v = inv(matrix) * e_j.
|
||||
lower_bound = v.template lpNorm<1>();
|
||||
if (lower_bound <= old_lower_bound) {
|
||||
// Break if the gradient step did not increase the lower_bound.
|
||||
break;
|
||||
}
|
||||
if (!is_complex) {
|
||||
old_sign_vector = sign_vector;
|
||||
}
|
||||
old_v_max_abs_index = v_max_abs_index;
|
||||
old_lower_bound = lower_bound;
|
||||
}
|
||||
// The following calculates an independent estimate of ||matrix||_1 by
|
||||
// multiplying matrix by a vector with entries of slowly increasing
|
||||
// magnitude and alternating sign:
|
||||
// v_i = (-1)^{i} (1 + (i / (dim-1))), i = 0,...,dim-1.
|
||||
// This improvement to Hager's algorithm above is due to Higham. It was
|
||||
// added to make the algorithm more robust in certain corner cases where
|
||||
// large elements in the matrix might otherwise escape detection due to
|
||||
// exact cancellation (especially when op and op_adjoint correspond to a
|
||||
// sequence of backsubstitutions and permutations), which could cause
|
||||
// Hager's algorithm to vastly underestimate ||matrix||_1.
|
||||
Scalar alternating_sign(RealScalar(1));
|
||||
for (Index i = 0; i < n; ++i) {
|
||||
// The static_cast is needed when Scalar is a complex and RealScalar implements expression templates
|
||||
v[i] = alternating_sign * static_cast<RealScalar>(RealScalar(1) + (RealScalar(i) / (RealScalar(n - 1))));
|
||||
alternating_sign = -alternating_sign;
|
||||
}
|
||||
v = dec.solve(v);
|
||||
const RealScalar alternate_lower_bound = (2 * v.template lpNorm<1>()) / (3 * RealScalar(n));
|
||||
return numext::maxi(lower_bound, alternate_lower_bound);
|
||||
}
|
||||
|
||||
/** \brief Reciprocal condition number estimator.
|
||||
*
|
||||
* Computing a decomposition of a dense matrix takes O(n^3) operations, while
|
||||
* this method estimates the condition number quickly and reliably in O(n^2)
|
||||
* operations.
|
||||
*
|
||||
* \returns an estimate of the reciprocal condition number
|
||||
* (1 / (||matrix||_1 * ||inv(matrix)||_1)) of matrix, given ||matrix||_1 and
|
||||
* its decomposition. Supports the following decompositions: FullPivLU,
|
||||
* PartialPivLU, LDLT, and LLT.
|
||||
*
|
||||
* \sa FullPivLU, PartialPivLU, LDLT, LLT.
|
||||
*/
|
||||
template <typename Decomposition>
|
||||
typename Decomposition::RealScalar
|
||||
rcond_estimate_helper(typename Decomposition::RealScalar matrix_norm, const Decomposition& dec)
|
||||
{
|
||||
typedef typename Decomposition::RealScalar RealScalar;
|
||||
eigen_assert(dec.rows() == dec.cols());
|
||||
if (dec.rows() == 0) return NumTraits<RealScalar>::infinity();
|
||||
if (matrix_norm == RealScalar(0)) return RealScalar(0);
|
||||
if (dec.rows() == 1) return RealScalar(1);
|
||||
const RealScalar inverse_matrix_norm = rcond_invmatrix_L1_norm_estimate(dec);
|
||||
return (inverse_matrix_norm == RealScalar(0) ? RealScalar(0)
|
||||
: (RealScalar(1) / inverse_matrix_norm) / matrix_norm);
|
||||
}
|
||||
|
||||
} // namespace internal
|
||||
|
||||
} // namespace Eigen
|
||||
|
||||
#endif
|
||||
File diff suppressed because it is too large
Load Diff
|
|
@ -0,0 +1,132 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008-2014 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_COREITERATORS_H
|
||||
#define EIGEN_COREITERATORS_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
/* This file contains the respective InnerIterator definition of the expressions defined in Eigen/Core
|
||||
*/
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<typename XprType, typename EvaluatorKind>
|
||||
class inner_iterator_selector;
|
||||
|
||||
}
|
||||
|
||||
/** \class InnerIterator
|
||||
* \brief An InnerIterator allows to loop over the element of any matrix expression.
|
||||
*
|
||||
* \warning To be used with care because an evaluator is constructed every time an InnerIterator iterator is constructed.
|
||||
*
|
||||
* TODO: add a usage example
|
||||
*/
|
||||
template<typename XprType>
|
||||
class InnerIterator
|
||||
{
|
||||
protected:
|
||||
typedef internal::inner_iterator_selector<XprType, typename internal::evaluator_traits<XprType>::Kind> IteratorType;
|
||||
typedef internal::evaluator<XprType> EvaluatorType;
|
||||
typedef typename internal::traits<XprType>::Scalar Scalar;
|
||||
public:
|
||||
/** Construct an iterator over the \a outerId -th row or column of \a xpr */
|
||||
InnerIterator(const XprType &xpr, const Index &outerId)
|
||||
: m_eval(xpr), m_iter(m_eval, outerId, xpr.innerSize())
|
||||
{}
|
||||
|
||||
/// \returns the value of the current coefficient.
|
||||
EIGEN_STRONG_INLINE Scalar value() const { return m_iter.value(); }
|
||||
/** Increment the iterator \c *this to the next non-zero coefficient.
|
||||
* Explicit zeros are not skipped over. To skip explicit zeros, see class SparseView
|
||||
*/
|
||||
EIGEN_STRONG_INLINE InnerIterator& operator++() { m_iter.operator++(); return *this; }
|
||||
EIGEN_STRONG_INLINE InnerIterator& operator+=(Index i) { m_iter.operator+=(i); return *this; }
|
||||
EIGEN_STRONG_INLINE InnerIterator operator+(Index i)
|
||||
{ InnerIterator result(*this); result+=i; return result; }
|
||||
|
||||
|
||||
/// \returns the column or row index of the current coefficient.
|
||||
EIGEN_STRONG_INLINE Index index() const { return m_iter.index(); }
|
||||
/// \returns the row index of the current coefficient.
|
||||
EIGEN_STRONG_INLINE Index row() const { return m_iter.row(); }
|
||||
/// \returns the column index of the current coefficient.
|
||||
EIGEN_STRONG_INLINE Index col() const { return m_iter.col(); }
|
||||
/// \returns \c true if the iterator \c *this still references a valid coefficient.
|
||||
EIGEN_STRONG_INLINE operator bool() const { return m_iter; }
|
||||
|
||||
protected:
|
||||
EvaluatorType m_eval;
|
||||
IteratorType m_iter;
|
||||
private:
|
||||
// If you get here, then you're not using the right InnerIterator type, e.g.:
|
||||
// SparseMatrix<double,RowMajor> A;
|
||||
// SparseMatrix<double>::InnerIterator it(A,0);
|
||||
template<typename T> InnerIterator(const EigenBase<T>&,Index outer);
|
||||
};
|
||||
|
||||
namespace internal {
|
||||
|
||||
// Generic inner iterator implementation for dense objects
|
||||
template<typename XprType>
|
||||
class inner_iterator_selector<XprType, IndexBased>
|
||||
{
|
||||
protected:
|
||||
typedef evaluator<XprType> EvaluatorType;
|
||||
typedef typename traits<XprType>::Scalar Scalar;
|
||||
enum { IsRowMajor = (XprType::Flags&RowMajorBit)==RowMajorBit };
|
||||
|
||||
public:
|
||||
EIGEN_STRONG_INLINE inner_iterator_selector(const EvaluatorType &eval, const Index &outerId, const Index &innerSize)
|
||||
: m_eval(eval), m_inner(0), m_outer(outerId), m_end(innerSize)
|
||||
{}
|
||||
|
||||
EIGEN_STRONG_INLINE Scalar value() const
|
||||
{
|
||||
return (IsRowMajor) ? m_eval.coeff(m_outer, m_inner)
|
||||
: m_eval.coeff(m_inner, m_outer);
|
||||
}
|
||||
|
||||
EIGEN_STRONG_INLINE inner_iterator_selector& operator++() { m_inner++; return *this; }
|
||||
|
||||
EIGEN_STRONG_INLINE Index index() const { return m_inner; }
|
||||
inline Index row() const { return IsRowMajor ? m_outer : index(); }
|
||||
inline Index col() const { return IsRowMajor ? index() : m_outer; }
|
||||
|
||||
EIGEN_STRONG_INLINE operator bool() const { return m_inner < m_end && m_inner>=0; }
|
||||
|
||||
protected:
|
||||
const EvaluatorType& m_eval;
|
||||
Index m_inner;
|
||||
const Index m_outer;
|
||||
const Index m_end;
|
||||
};
|
||||
|
||||
// For iterator-based evaluator, inner-iterator is already implemented as
|
||||
// evaluator<>::InnerIterator
|
||||
template<typename XprType>
|
||||
class inner_iterator_selector<XprType, IteratorBased>
|
||||
: public evaluator<XprType>::InnerIterator
|
||||
{
|
||||
protected:
|
||||
typedef typename evaluator<XprType>::InnerIterator Base;
|
||||
typedef evaluator<XprType> EvaluatorType;
|
||||
|
||||
public:
|
||||
EIGEN_STRONG_INLINE inner_iterator_selector(const EvaluatorType &eval, const Index &outerId, const Index &/*innerSize*/)
|
||||
: Base(eval, outerId)
|
||||
{}
|
||||
};
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_COREITERATORS_H
|
||||
|
|
@ -0,0 +1,183 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008-2014 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_CWISE_BINARY_OP_H
|
||||
#define EIGEN_CWISE_BINARY_OP_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
template<typename BinaryOp, typename Lhs, typename Rhs>
|
||||
struct traits<CwiseBinaryOp<BinaryOp, Lhs, Rhs> >
|
||||
{
|
||||
// we must not inherit from traits<Lhs> since it has
|
||||
// the potential to cause problems with MSVC
|
||||
typedef typename remove_all<Lhs>::type Ancestor;
|
||||
typedef typename traits<Ancestor>::XprKind XprKind;
|
||||
enum {
|
||||
RowsAtCompileTime = traits<Ancestor>::RowsAtCompileTime,
|
||||
ColsAtCompileTime = traits<Ancestor>::ColsAtCompileTime,
|
||||
MaxRowsAtCompileTime = traits<Ancestor>::MaxRowsAtCompileTime,
|
||||
MaxColsAtCompileTime = traits<Ancestor>::MaxColsAtCompileTime
|
||||
};
|
||||
|
||||
// even though we require Lhs and Rhs to have the same scalar type (see CwiseBinaryOp constructor),
|
||||
// we still want to handle the case when the result type is different.
|
||||
typedef typename result_of<
|
||||
BinaryOp(
|
||||
const typename Lhs::Scalar&,
|
||||
const typename Rhs::Scalar&
|
||||
)
|
||||
>::type Scalar;
|
||||
typedef typename cwise_promote_storage_type<typename traits<Lhs>::StorageKind,
|
||||
typename traits<Rhs>::StorageKind,
|
||||
BinaryOp>::ret StorageKind;
|
||||
typedef typename promote_index_type<typename traits<Lhs>::StorageIndex,
|
||||
typename traits<Rhs>::StorageIndex>::type StorageIndex;
|
||||
typedef typename Lhs::Nested LhsNested;
|
||||
typedef typename Rhs::Nested RhsNested;
|
||||
typedef typename remove_reference<LhsNested>::type _LhsNested;
|
||||
typedef typename remove_reference<RhsNested>::type _RhsNested;
|
||||
enum {
|
||||
Flags = cwise_promote_storage_order<typename traits<Lhs>::StorageKind,typename traits<Rhs>::StorageKind,_LhsNested::Flags & RowMajorBit,_RhsNested::Flags & RowMajorBit>::value
|
||||
};
|
||||
};
|
||||
} // end namespace internal
|
||||
|
||||
template<typename BinaryOp, typename Lhs, typename Rhs, typename StorageKind>
|
||||
class CwiseBinaryOpImpl;
|
||||
|
||||
/** \class CwiseBinaryOp
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Generic expression where a coefficient-wise binary operator is applied to two expressions
|
||||
*
|
||||
* \tparam BinaryOp template functor implementing the operator
|
||||
* \tparam LhsType the type of the left-hand side
|
||||
* \tparam RhsType the type of the right-hand side
|
||||
*
|
||||
* This class represents an expression where a coefficient-wise binary operator is applied to two expressions.
|
||||
* It is the return type of binary operators, by which we mean only those binary operators where
|
||||
* both the left-hand side and the right-hand side are Eigen expressions.
|
||||
* For example, the return type of matrix1+matrix2 is a CwiseBinaryOp.
|
||||
*
|
||||
* Most of the time, this is the only way that it is used, so you typically don't have to name
|
||||
* CwiseBinaryOp types explicitly.
|
||||
*
|
||||
* \sa MatrixBase::binaryExpr(const MatrixBase<OtherDerived> &,const CustomBinaryOp &) const, class CwiseUnaryOp, class CwiseNullaryOp
|
||||
*/
|
||||
template<typename BinaryOp, typename LhsType, typename RhsType>
|
||||
class CwiseBinaryOp :
|
||||
public CwiseBinaryOpImpl<
|
||||
BinaryOp, LhsType, RhsType,
|
||||
typename internal::cwise_promote_storage_type<typename internal::traits<LhsType>::StorageKind,
|
||||
typename internal::traits<RhsType>::StorageKind,
|
||||
BinaryOp>::ret>,
|
||||
internal::no_assignment_operator
|
||||
{
|
||||
public:
|
||||
|
||||
typedef typename internal::remove_all<BinaryOp>::type Functor;
|
||||
typedef typename internal::remove_all<LhsType>::type Lhs;
|
||||
typedef typename internal::remove_all<RhsType>::type Rhs;
|
||||
|
||||
typedef typename CwiseBinaryOpImpl<
|
||||
BinaryOp, LhsType, RhsType,
|
||||
typename internal::cwise_promote_storage_type<typename internal::traits<LhsType>::StorageKind,
|
||||
typename internal::traits<Rhs>::StorageKind,
|
||||
BinaryOp>::ret>::Base Base;
|
||||
EIGEN_GENERIC_PUBLIC_INTERFACE(CwiseBinaryOp)
|
||||
|
||||
typedef typename internal::ref_selector<LhsType>::type LhsNested;
|
||||
typedef typename internal::ref_selector<RhsType>::type RhsNested;
|
||||
typedef typename internal::remove_reference<LhsNested>::type _LhsNested;
|
||||
typedef typename internal::remove_reference<RhsNested>::type _RhsNested;
|
||||
|
||||
#if EIGEN_COMP_MSVC && EIGEN_HAS_CXX11
|
||||
//Required for Visual Studio or the Copy constructor will probably not get inlined!
|
||||
EIGEN_STRONG_INLINE
|
||||
CwiseBinaryOp(const CwiseBinaryOp<BinaryOp,LhsType,RhsType>&) = default;
|
||||
#endif
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
CwiseBinaryOp(const Lhs& aLhs, const Rhs& aRhs, const BinaryOp& func = BinaryOp())
|
||||
: m_lhs(aLhs), m_rhs(aRhs), m_functor(func)
|
||||
{
|
||||
EIGEN_CHECK_BINARY_COMPATIBILIY(BinaryOp,typename Lhs::Scalar,typename Rhs::Scalar);
|
||||
// require the sizes to match
|
||||
EIGEN_STATIC_ASSERT_SAME_MATRIX_SIZE(Lhs, Rhs)
|
||||
eigen_assert(aLhs.rows() == aRhs.rows() && aLhs.cols() == aRhs.cols());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
Index rows() const EIGEN_NOEXCEPT {
|
||||
// return the fixed size type if available to enable compile time optimizations
|
||||
return internal::traits<typename internal::remove_all<LhsNested>::type>::RowsAtCompileTime==Dynamic ? m_rhs.rows() : m_lhs.rows();
|
||||
}
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
Index cols() const EIGEN_NOEXCEPT {
|
||||
// return the fixed size type if available to enable compile time optimizations
|
||||
return internal::traits<typename internal::remove_all<LhsNested>::type>::ColsAtCompileTime==Dynamic ? m_rhs.cols() : m_lhs.cols();
|
||||
}
|
||||
|
||||
/** \returns the left hand side nested expression */
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
const _LhsNested& lhs() const { return m_lhs; }
|
||||
/** \returns the right hand side nested expression */
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
const _RhsNested& rhs() const { return m_rhs; }
|
||||
/** \returns the functor representing the binary operation */
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
const BinaryOp& functor() const { return m_functor; }
|
||||
|
||||
protected:
|
||||
LhsNested m_lhs;
|
||||
RhsNested m_rhs;
|
||||
const BinaryOp m_functor;
|
||||
};
|
||||
|
||||
// Generic API dispatcher
|
||||
template<typename BinaryOp, typename Lhs, typename Rhs, typename StorageKind>
|
||||
class CwiseBinaryOpImpl
|
||||
: public internal::generic_xpr_base<CwiseBinaryOp<BinaryOp, Lhs, Rhs> >::type
|
||||
{
|
||||
public:
|
||||
typedef typename internal::generic_xpr_base<CwiseBinaryOp<BinaryOp, Lhs, Rhs> >::type Base;
|
||||
};
|
||||
|
||||
/** replaces \c *this by \c *this - \a other.
|
||||
*
|
||||
* \returns a reference to \c *this
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &
|
||||
MatrixBase<Derived>::operator-=(const MatrixBase<OtherDerived> &other)
|
||||
{
|
||||
call_assignment(derived(), other.derived(), internal::sub_assign_op<Scalar,typename OtherDerived::Scalar>());
|
||||
return derived();
|
||||
}
|
||||
|
||||
/** replaces \c *this by \c *this + \a other.
|
||||
*
|
||||
* \returns a reference to \c *this
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived &
|
||||
MatrixBase<Derived>::operator+=(const MatrixBase<OtherDerived>& other)
|
||||
{
|
||||
call_assignment(derived(), other.derived(), internal::add_assign_op<Scalar,typename OtherDerived::Scalar>());
|
||||
return derived();
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_CWISE_BINARY_OP_H
|
||||
File diff suppressed because it is too large
Load Diff
|
|
@ -0,0 +1,197 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008-2014 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
// Copyright (C) 2016 Eugene Brevdo <ebrevdo@gmail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_CWISE_TERNARY_OP_H
|
||||
#define EIGEN_CWISE_TERNARY_OP_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
template <typename TernaryOp, typename Arg1, typename Arg2, typename Arg3>
|
||||
struct traits<CwiseTernaryOp<TernaryOp, Arg1, Arg2, Arg3> > {
|
||||
// we must not inherit from traits<Arg1> since it has
|
||||
// the potential to cause problems with MSVC
|
||||
typedef typename remove_all<Arg1>::type Ancestor;
|
||||
typedef typename traits<Ancestor>::XprKind XprKind;
|
||||
enum {
|
||||
RowsAtCompileTime = traits<Ancestor>::RowsAtCompileTime,
|
||||
ColsAtCompileTime = traits<Ancestor>::ColsAtCompileTime,
|
||||
MaxRowsAtCompileTime = traits<Ancestor>::MaxRowsAtCompileTime,
|
||||
MaxColsAtCompileTime = traits<Ancestor>::MaxColsAtCompileTime
|
||||
};
|
||||
|
||||
// even though we require Arg1, Arg2, and Arg3 to have the same scalar type
|
||||
// (see CwiseTernaryOp constructor),
|
||||
// we still want to handle the case when the result type is different.
|
||||
typedef typename result_of<TernaryOp(
|
||||
const typename Arg1::Scalar&, const typename Arg2::Scalar&,
|
||||
const typename Arg3::Scalar&)>::type Scalar;
|
||||
|
||||
typedef typename internal::traits<Arg1>::StorageKind StorageKind;
|
||||
typedef typename internal::traits<Arg1>::StorageIndex StorageIndex;
|
||||
|
||||
typedef typename Arg1::Nested Arg1Nested;
|
||||
typedef typename Arg2::Nested Arg2Nested;
|
||||
typedef typename Arg3::Nested Arg3Nested;
|
||||
typedef typename remove_reference<Arg1Nested>::type _Arg1Nested;
|
||||
typedef typename remove_reference<Arg2Nested>::type _Arg2Nested;
|
||||
typedef typename remove_reference<Arg3Nested>::type _Arg3Nested;
|
||||
enum { Flags = _Arg1Nested::Flags & RowMajorBit };
|
||||
};
|
||||
} // end namespace internal
|
||||
|
||||
template <typename TernaryOp, typename Arg1, typename Arg2, typename Arg3,
|
||||
typename StorageKind>
|
||||
class CwiseTernaryOpImpl;
|
||||
|
||||
/** \class CwiseTernaryOp
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Generic expression where a coefficient-wise ternary operator is
|
||||
* applied to two expressions
|
||||
*
|
||||
* \tparam TernaryOp template functor implementing the operator
|
||||
* \tparam Arg1Type the type of the first argument
|
||||
* \tparam Arg2Type the type of the second argument
|
||||
* \tparam Arg3Type the type of the third argument
|
||||
*
|
||||
* This class represents an expression where a coefficient-wise ternary
|
||||
* operator is applied to three expressions.
|
||||
* It is the return type of ternary operators, by which we mean only those
|
||||
* ternary operators where
|
||||
* all three arguments are Eigen expressions.
|
||||
* For example, the return type of betainc(matrix1, matrix2, matrix3) is a
|
||||
* CwiseTernaryOp.
|
||||
*
|
||||
* Most of the time, this is the only way that it is used, so you typically
|
||||
* don't have to name
|
||||
* CwiseTernaryOp types explicitly.
|
||||
*
|
||||
* \sa MatrixBase::ternaryExpr(const MatrixBase<Argument2> &, const
|
||||
* MatrixBase<Argument3> &, const CustomTernaryOp &) const, class CwiseBinaryOp,
|
||||
* class CwiseUnaryOp, class CwiseNullaryOp
|
||||
*/
|
||||
template <typename TernaryOp, typename Arg1Type, typename Arg2Type,
|
||||
typename Arg3Type>
|
||||
class CwiseTernaryOp : public CwiseTernaryOpImpl<
|
||||
TernaryOp, Arg1Type, Arg2Type, Arg3Type,
|
||||
typename internal::traits<Arg1Type>::StorageKind>,
|
||||
internal::no_assignment_operator
|
||||
{
|
||||
public:
|
||||
typedef typename internal::remove_all<Arg1Type>::type Arg1;
|
||||
typedef typename internal::remove_all<Arg2Type>::type Arg2;
|
||||
typedef typename internal::remove_all<Arg3Type>::type Arg3;
|
||||
|
||||
typedef typename CwiseTernaryOpImpl<
|
||||
TernaryOp, Arg1Type, Arg2Type, Arg3Type,
|
||||
typename internal::traits<Arg1Type>::StorageKind>::Base Base;
|
||||
EIGEN_GENERIC_PUBLIC_INTERFACE(CwiseTernaryOp)
|
||||
|
||||
typedef typename internal::ref_selector<Arg1Type>::type Arg1Nested;
|
||||
typedef typename internal::ref_selector<Arg2Type>::type Arg2Nested;
|
||||
typedef typename internal::ref_selector<Arg3Type>::type Arg3Nested;
|
||||
typedef typename internal::remove_reference<Arg1Nested>::type _Arg1Nested;
|
||||
typedef typename internal::remove_reference<Arg2Nested>::type _Arg2Nested;
|
||||
typedef typename internal::remove_reference<Arg3Nested>::type _Arg3Nested;
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE CwiseTernaryOp(const Arg1& a1, const Arg2& a2,
|
||||
const Arg3& a3,
|
||||
const TernaryOp& func = TernaryOp())
|
||||
: m_arg1(a1), m_arg2(a2), m_arg3(a3), m_functor(func) {
|
||||
// require the sizes to match
|
||||
EIGEN_STATIC_ASSERT_SAME_MATRIX_SIZE(Arg1, Arg2)
|
||||
EIGEN_STATIC_ASSERT_SAME_MATRIX_SIZE(Arg1, Arg3)
|
||||
|
||||
// The index types should match
|
||||
EIGEN_STATIC_ASSERT((internal::is_same<
|
||||
typename internal::traits<Arg1Type>::StorageKind,
|
||||
typename internal::traits<Arg2Type>::StorageKind>::value),
|
||||
STORAGE_KIND_MUST_MATCH)
|
||||
EIGEN_STATIC_ASSERT((internal::is_same<
|
||||
typename internal::traits<Arg1Type>::StorageKind,
|
||||
typename internal::traits<Arg3Type>::StorageKind>::value),
|
||||
STORAGE_KIND_MUST_MATCH)
|
||||
|
||||
eigen_assert(a1.rows() == a2.rows() && a1.cols() == a2.cols() &&
|
||||
a1.rows() == a3.rows() && a1.cols() == a3.cols());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Index rows() const {
|
||||
// return the fixed size type if available to enable compile time
|
||||
// optimizations
|
||||
if (internal::traits<typename internal::remove_all<Arg1Nested>::type>::
|
||||
RowsAtCompileTime == Dynamic &&
|
||||
internal::traits<typename internal::remove_all<Arg2Nested>::type>::
|
||||
RowsAtCompileTime == Dynamic)
|
||||
return m_arg3.rows();
|
||||
else if (internal::traits<typename internal::remove_all<Arg1Nested>::type>::
|
||||
RowsAtCompileTime == Dynamic &&
|
||||
internal::traits<typename internal::remove_all<Arg3Nested>::type>::
|
||||
RowsAtCompileTime == Dynamic)
|
||||
return m_arg2.rows();
|
||||
else
|
||||
return m_arg1.rows();
|
||||
}
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Index cols() const {
|
||||
// return the fixed size type if available to enable compile time
|
||||
// optimizations
|
||||
if (internal::traits<typename internal::remove_all<Arg1Nested>::type>::
|
||||
ColsAtCompileTime == Dynamic &&
|
||||
internal::traits<typename internal::remove_all<Arg2Nested>::type>::
|
||||
ColsAtCompileTime == Dynamic)
|
||||
return m_arg3.cols();
|
||||
else if (internal::traits<typename internal::remove_all<Arg1Nested>::type>::
|
||||
ColsAtCompileTime == Dynamic &&
|
||||
internal::traits<typename internal::remove_all<Arg3Nested>::type>::
|
||||
ColsAtCompileTime == Dynamic)
|
||||
return m_arg2.cols();
|
||||
else
|
||||
return m_arg1.cols();
|
||||
}
|
||||
|
||||
/** \returns the first argument nested expression */
|
||||
EIGEN_DEVICE_FUNC
|
||||
const _Arg1Nested& arg1() const { return m_arg1; }
|
||||
/** \returns the first argument nested expression */
|
||||
EIGEN_DEVICE_FUNC
|
||||
const _Arg2Nested& arg2() const { return m_arg2; }
|
||||
/** \returns the third argument nested expression */
|
||||
EIGEN_DEVICE_FUNC
|
||||
const _Arg3Nested& arg3() const { return m_arg3; }
|
||||
/** \returns the functor representing the ternary operation */
|
||||
EIGEN_DEVICE_FUNC
|
||||
const TernaryOp& functor() const { return m_functor; }
|
||||
|
||||
protected:
|
||||
Arg1Nested m_arg1;
|
||||
Arg2Nested m_arg2;
|
||||
Arg3Nested m_arg3;
|
||||
const TernaryOp m_functor;
|
||||
};
|
||||
|
||||
// Generic API dispatcher
|
||||
template <typename TernaryOp, typename Arg1, typename Arg2, typename Arg3,
|
||||
typename StorageKind>
|
||||
class CwiseTernaryOpImpl
|
||||
: public internal::generic_xpr_base<
|
||||
CwiseTernaryOp<TernaryOp, Arg1, Arg2, Arg3> >::type {
|
||||
public:
|
||||
typedef typename internal::generic_xpr_base<
|
||||
CwiseTernaryOp<TernaryOp, Arg1, Arg2, Arg3> >::type Base;
|
||||
};
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_CWISE_TERNARY_OP_H
|
||||
|
|
@ -0,0 +1,103 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008-2014 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_CWISE_UNARY_OP_H
|
||||
#define EIGEN_CWISE_UNARY_OP_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
template<typename UnaryOp, typename XprType>
|
||||
struct traits<CwiseUnaryOp<UnaryOp, XprType> >
|
||||
: traits<XprType>
|
||||
{
|
||||
typedef typename result_of<
|
||||
UnaryOp(const typename XprType::Scalar&)
|
||||
>::type Scalar;
|
||||
typedef typename XprType::Nested XprTypeNested;
|
||||
typedef typename remove_reference<XprTypeNested>::type _XprTypeNested;
|
||||
enum {
|
||||
Flags = _XprTypeNested::Flags & RowMajorBit
|
||||
};
|
||||
};
|
||||
}
|
||||
|
||||
template<typename UnaryOp, typename XprType, typename StorageKind>
|
||||
class CwiseUnaryOpImpl;
|
||||
|
||||
/** \class CwiseUnaryOp
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Generic expression where a coefficient-wise unary operator is applied to an expression
|
||||
*
|
||||
* \tparam UnaryOp template functor implementing the operator
|
||||
* \tparam XprType the type of the expression to which we are applying the unary operator
|
||||
*
|
||||
* This class represents an expression where a unary operator is applied to an expression.
|
||||
* It is the return type of all operations taking exactly 1 input expression, regardless of the
|
||||
* presence of other inputs such as scalars. For example, the operator* in the expression 3*matrix
|
||||
* is considered unary, because only the right-hand side is an expression, and its
|
||||
* return type is a specialization of CwiseUnaryOp.
|
||||
*
|
||||
* Most of the time, this is the only way that it is used, so you typically don't have to name
|
||||
* CwiseUnaryOp types explicitly.
|
||||
*
|
||||
* \sa MatrixBase::unaryExpr(const CustomUnaryOp &) const, class CwiseBinaryOp, class CwiseNullaryOp
|
||||
*/
|
||||
template<typename UnaryOp, typename XprType>
|
||||
class CwiseUnaryOp : public CwiseUnaryOpImpl<UnaryOp, XprType, typename internal::traits<XprType>::StorageKind>, internal::no_assignment_operator
|
||||
{
|
||||
public:
|
||||
|
||||
typedef typename CwiseUnaryOpImpl<UnaryOp, XprType,typename internal::traits<XprType>::StorageKind>::Base Base;
|
||||
EIGEN_GENERIC_PUBLIC_INTERFACE(CwiseUnaryOp)
|
||||
typedef typename internal::ref_selector<XprType>::type XprTypeNested;
|
||||
typedef typename internal::remove_all<XprType>::type NestedExpression;
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
explicit CwiseUnaryOp(const XprType& xpr, const UnaryOp& func = UnaryOp())
|
||||
: m_xpr(xpr), m_functor(func) {}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
Index rows() const EIGEN_NOEXCEPT { return m_xpr.rows(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
Index cols() const EIGEN_NOEXCEPT { return m_xpr.cols(); }
|
||||
|
||||
/** \returns the functor representing the unary operation */
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
const UnaryOp& functor() const { return m_functor; }
|
||||
|
||||
/** \returns the nested expression */
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
const typename internal::remove_all<XprTypeNested>::type&
|
||||
nestedExpression() const { return m_xpr; }
|
||||
|
||||
/** \returns the nested expression */
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
typename internal::remove_all<XprTypeNested>::type&
|
||||
nestedExpression() { return m_xpr; }
|
||||
|
||||
protected:
|
||||
XprTypeNested m_xpr;
|
||||
const UnaryOp m_functor;
|
||||
};
|
||||
|
||||
// Generic API dispatcher
|
||||
template<typename UnaryOp, typename XprType, typename StorageKind>
|
||||
class CwiseUnaryOpImpl
|
||||
: public internal::generic_xpr_base<CwiseUnaryOp<UnaryOp, XprType> >::type
|
||||
{
|
||||
public:
|
||||
typedef typename internal::generic_xpr_base<CwiseUnaryOp<UnaryOp, XprType> >::type Base;
|
||||
};
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_CWISE_UNARY_OP_H
|
||||
|
|
@ -0,0 +1,132 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_CWISE_UNARY_VIEW_H
|
||||
#define EIGEN_CWISE_UNARY_VIEW_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
template<typename ViewOp, typename MatrixType>
|
||||
struct traits<CwiseUnaryView<ViewOp, MatrixType> >
|
||||
: traits<MatrixType>
|
||||
{
|
||||
typedef typename result_of<
|
||||
ViewOp(const typename traits<MatrixType>::Scalar&)
|
||||
>::type Scalar;
|
||||
typedef typename MatrixType::Nested MatrixTypeNested;
|
||||
typedef typename remove_all<MatrixTypeNested>::type _MatrixTypeNested;
|
||||
enum {
|
||||
FlagsLvalueBit = is_lvalue<MatrixType>::value ? LvalueBit : 0,
|
||||
Flags = traits<_MatrixTypeNested>::Flags & (RowMajorBit | FlagsLvalueBit | DirectAccessBit), // FIXME DirectAccessBit should not be handled by expressions
|
||||
MatrixTypeInnerStride = inner_stride_at_compile_time<MatrixType>::ret,
|
||||
// need to cast the sizeof's from size_t to int explicitly, otherwise:
|
||||
// "error: no integral type can represent all of the enumerator values
|
||||
InnerStrideAtCompileTime = MatrixTypeInnerStride == Dynamic
|
||||
? int(Dynamic)
|
||||
: int(MatrixTypeInnerStride) * int(sizeof(typename traits<MatrixType>::Scalar) / sizeof(Scalar)),
|
||||
OuterStrideAtCompileTime = outer_stride_at_compile_time<MatrixType>::ret == Dynamic
|
||||
? int(Dynamic)
|
||||
: outer_stride_at_compile_time<MatrixType>::ret * int(sizeof(typename traits<MatrixType>::Scalar) / sizeof(Scalar))
|
||||
};
|
||||
};
|
||||
}
|
||||
|
||||
template<typename ViewOp, typename MatrixType, typename StorageKind>
|
||||
class CwiseUnaryViewImpl;
|
||||
|
||||
/** \class CwiseUnaryView
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Generic lvalue expression of a coefficient-wise unary operator of a matrix or a vector
|
||||
*
|
||||
* \tparam ViewOp template functor implementing the view
|
||||
* \tparam MatrixType the type of the matrix we are applying the unary operator
|
||||
*
|
||||
* This class represents a lvalue expression of a generic unary view operator of a matrix or a vector.
|
||||
* It is the return type of real() and imag(), and most of the time this is the only way it is used.
|
||||
*
|
||||
* \sa MatrixBase::unaryViewExpr(const CustomUnaryOp &) const, class CwiseUnaryOp
|
||||
*/
|
||||
template<typename ViewOp, typename MatrixType>
|
||||
class CwiseUnaryView : public CwiseUnaryViewImpl<ViewOp, MatrixType, typename internal::traits<MatrixType>::StorageKind>
|
||||
{
|
||||
public:
|
||||
|
||||
typedef typename CwiseUnaryViewImpl<ViewOp, MatrixType,typename internal::traits<MatrixType>::StorageKind>::Base Base;
|
||||
EIGEN_GENERIC_PUBLIC_INTERFACE(CwiseUnaryView)
|
||||
typedef typename internal::ref_selector<MatrixType>::non_const_type MatrixTypeNested;
|
||||
typedef typename internal::remove_all<MatrixType>::type NestedExpression;
|
||||
|
||||
explicit EIGEN_DEVICE_FUNC inline CwiseUnaryView(MatrixType& mat, const ViewOp& func = ViewOp())
|
||||
: m_matrix(mat), m_functor(func) {}
|
||||
|
||||
EIGEN_INHERIT_ASSIGNMENT_OPERATORS(CwiseUnaryView)
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
Index rows() const EIGEN_NOEXCEPT { return m_matrix.rows(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
Index cols() const EIGEN_NOEXCEPT { return m_matrix.cols(); }
|
||||
|
||||
/** \returns the functor representing unary operation */
|
||||
EIGEN_DEVICE_FUNC const ViewOp& functor() const { return m_functor; }
|
||||
|
||||
/** \returns the nested expression */
|
||||
EIGEN_DEVICE_FUNC const typename internal::remove_all<MatrixTypeNested>::type&
|
||||
nestedExpression() const { return m_matrix; }
|
||||
|
||||
/** \returns the nested expression */
|
||||
EIGEN_DEVICE_FUNC typename internal::remove_reference<MatrixTypeNested>::type&
|
||||
nestedExpression() { return m_matrix; }
|
||||
|
||||
protected:
|
||||
MatrixTypeNested m_matrix;
|
||||
ViewOp m_functor;
|
||||
};
|
||||
|
||||
// Generic API dispatcher
|
||||
template<typename ViewOp, typename XprType, typename StorageKind>
|
||||
class CwiseUnaryViewImpl
|
||||
: public internal::generic_xpr_base<CwiseUnaryView<ViewOp, XprType> >::type
|
||||
{
|
||||
public:
|
||||
typedef typename internal::generic_xpr_base<CwiseUnaryView<ViewOp, XprType> >::type Base;
|
||||
};
|
||||
|
||||
template<typename ViewOp, typename MatrixType>
|
||||
class CwiseUnaryViewImpl<ViewOp,MatrixType,Dense>
|
||||
: public internal::dense_xpr_base< CwiseUnaryView<ViewOp, MatrixType> >::type
|
||||
{
|
||||
public:
|
||||
|
||||
typedef CwiseUnaryView<ViewOp, MatrixType> Derived;
|
||||
typedef typename internal::dense_xpr_base< CwiseUnaryView<ViewOp, MatrixType> >::type Base;
|
||||
|
||||
EIGEN_DENSE_PUBLIC_INTERFACE(Derived)
|
||||
EIGEN_INHERIT_ASSIGNMENT_OPERATORS(CwiseUnaryViewImpl)
|
||||
|
||||
EIGEN_DEVICE_FUNC inline Scalar* data() { return &(this->coeffRef(0)); }
|
||||
EIGEN_DEVICE_FUNC inline const Scalar* data() const { return &(this->coeff(0)); }
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR inline Index innerStride() const
|
||||
{
|
||||
return derived().nestedExpression().innerStride() * sizeof(typename internal::traits<MatrixType>::Scalar) / sizeof(Scalar);
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR inline Index outerStride() const
|
||||
{
|
||||
return derived().nestedExpression().outerStride() * sizeof(typename internal::traits<MatrixType>::Scalar) / sizeof(Scalar);
|
||||
}
|
||||
protected:
|
||||
EIGEN_DEFAULT_EMPTY_CONSTRUCTOR_AND_DESTRUCTOR(CwiseUnaryViewImpl)
|
||||
};
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_CWISE_UNARY_VIEW_H
|
||||
|
|
@ -0,0 +1,701 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2007-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_DENSEBASE_H
|
||||
#define EIGEN_DENSEBASE_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
|
||||
// The index type defined by EIGEN_DEFAULT_DENSE_INDEX_TYPE must be a signed type.
|
||||
// This dummy function simply aims at checking that at compile time.
|
||||
static inline void check_DenseIndex_is_signed() {
|
||||
EIGEN_STATIC_ASSERT(NumTraits<DenseIndex>::IsSigned,THE_INDEX_TYPE_MUST_BE_A_SIGNED_TYPE)
|
||||
}
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
/** \class DenseBase
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Base class for all dense matrices, vectors, and arrays
|
||||
*
|
||||
* This class is the base that is inherited by all dense objects (matrix, vector, arrays,
|
||||
* and related expression types). The common Eigen API for dense objects is contained in this class.
|
||||
*
|
||||
* \tparam Derived is the derived type, e.g., a matrix type or an expression.
|
||||
*
|
||||
* This class can be extended with the help of the plugin mechanism described on the page
|
||||
* \ref TopicCustomizing_Plugins by defining the preprocessor symbol \c EIGEN_DENSEBASE_PLUGIN.
|
||||
*
|
||||
* \sa \blank \ref TopicClassHierarchy
|
||||
*/
|
||||
template<typename Derived> class DenseBase
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
: public DenseCoeffsBase<Derived, internal::accessors_level<Derived>::value>
|
||||
#else
|
||||
: public DenseCoeffsBase<Derived,DirectWriteAccessors>
|
||||
#endif // not EIGEN_PARSED_BY_DOXYGEN
|
||||
{
|
||||
public:
|
||||
|
||||
/** Inner iterator type to iterate over the coefficients of a row or column.
|
||||
* \sa class InnerIterator
|
||||
*/
|
||||
typedef Eigen::InnerIterator<Derived> InnerIterator;
|
||||
|
||||
typedef typename internal::traits<Derived>::StorageKind StorageKind;
|
||||
|
||||
/**
|
||||
* \brief The type used to store indices
|
||||
* \details This typedef is relevant for types that store multiple indices such as
|
||||
* PermutationMatrix or Transpositions, otherwise it defaults to Eigen::Index
|
||||
* \sa \blank \ref TopicPreprocessorDirectives, Eigen::Index, SparseMatrixBase.
|
||||
*/
|
||||
typedef typename internal::traits<Derived>::StorageIndex StorageIndex;
|
||||
|
||||
/** The numeric type of the expression' coefficients, e.g. float, double, int or std::complex<float>, etc. */
|
||||
typedef typename internal::traits<Derived>::Scalar Scalar;
|
||||
|
||||
/** The numeric type of the expression' coefficients, e.g. float, double, int or std::complex<float>, etc.
|
||||
*
|
||||
* It is an alias for the Scalar type */
|
||||
typedef Scalar value_type;
|
||||
|
||||
typedef typename NumTraits<Scalar>::Real RealScalar;
|
||||
typedef DenseCoeffsBase<Derived, internal::accessors_level<Derived>::value> Base;
|
||||
|
||||
using Base::derived;
|
||||
using Base::const_cast_derived;
|
||||
using Base::rows;
|
||||
using Base::cols;
|
||||
using Base::size;
|
||||
using Base::rowIndexByOuterInner;
|
||||
using Base::colIndexByOuterInner;
|
||||
using Base::coeff;
|
||||
using Base::coeffByOuterInner;
|
||||
using Base::operator();
|
||||
using Base::operator[];
|
||||
using Base::x;
|
||||
using Base::y;
|
||||
using Base::z;
|
||||
using Base::w;
|
||||
using Base::stride;
|
||||
using Base::innerStride;
|
||||
using Base::outerStride;
|
||||
using Base::rowStride;
|
||||
using Base::colStride;
|
||||
typedef typename Base::CoeffReturnType CoeffReturnType;
|
||||
|
||||
enum {
|
||||
|
||||
RowsAtCompileTime = internal::traits<Derived>::RowsAtCompileTime,
|
||||
/**< The number of rows at compile-time. This is just a copy of the value provided
|
||||
* by the \a Derived type. If a value is not known at compile-time,
|
||||
* it is set to the \a Dynamic constant.
|
||||
* \sa MatrixBase::rows(), MatrixBase::cols(), ColsAtCompileTime, SizeAtCompileTime */
|
||||
|
||||
ColsAtCompileTime = internal::traits<Derived>::ColsAtCompileTime,
|
||||
/**< The number of columns at compile-time. This is just a copy of the value provided
|
||||
* by the \a Derived type. If a value is not known at compile-time,
|
||||
* it is set to the \a Dynamic constant.
|
||||
* \sa MatrixBase::rows(), MatrixBase::cols(), RowsAtCompileTime, SizeAtCompileTime */
|
||||
|
||||
|
||||
SizeAtCompileTime = (internal::size_at_compile_time<internal::traits<Derived>::RowsAtCompileTime,
|
||||
internal::traits<Derived>::ColsAtCompileTime>::ret),
|
||||
/**< This is equal to the number of coefficients, i.e. the number of
|
||||
* rows times the number of columns, or to \a Dynamic if this is not
|
||||
* known at compile-time. \sa RowsAtCompileTime, ColsAtCompileTime */
|
||||
|
||||
MaxRowsAtCompileTime = internal::traits<Derived>::MaxRowsAtCompileTime,
|
||||
/**< This value is equal to the maximum possible number of rows that this expression
|
||||
* might have. If this expression might have an arbitrarily high number of rows,
|
||||
* this value is set to \a Dynamic.
|
||||
*
|
||||
* This value is useful to know when evaluating an expression, in order to determine
|
||||
* whether it is possible to avoid doing a dynamic memory allocation.
|
||||
*
|
||||
* \sa RowsAtCompileTime, MaxColsAtCompileTime, MaxSizeAtCompileTime
|
||||
*/
|
||||
|
||||
MaxColsAtCompileTime = internal::traits<Derived>::MaxColsAtCompileTime,
|
||||
/**< This value is equal to the maximum possible number of columns that this expression
|
||||
* might have. If this expression might have an arbitrarily high number of columns,
|
||||
* this value is set to \a Dynamic.
|
||||
*
|
||||
* This value is useful to know when evaluating an expression, in order to determine
|
||||
* whether it is possible to avoid doing a dynamic memory allocation.
|
||||
*
|
||||
* \sa ColsAtCompileTime, MaxRowsAtCompileTime, MaxSizeAtCompileTime
|
||||
*/
|
||||
|
||||
MaxSizeAtCompileTime = (internal::size_at_compile_time<internal::traits<Derived>::MaxRowsAtCompileTime,
|
||||
internal::traits<Derived>::MaxColsAtCompileTime>::ret),
|
||||
/**< This value is equal to the maximum possible number of coefficients that this expression
|
||||
* might have. If this expression might have an arbitrarily high number of coefficients,
|
||||
* this value is set to \a Dynamic.
|
||||
*
|
||||
* This value is useful to know when evaluating an expression, in order to determine
|
||||
* whether it is possible to avoid doing a dynamic memory allocation.
|
||||
*
|
||||
* \sa SizeAtCompileTime, MaxRowsAtCompileTime, MaxColsAtCompileTime
|
||||
*/
|
||||
|
||||
IsVectorAtCompileTime = internal::traits<Derived>::RowsAtCompileTime == 1
|
||||
|| internal::traits<Derived>::ColsAtCompileTime == 1,
|
||||
/**< This is set to true if either the number of rows or the number of
|
||||
* columns is known at compile-time to be equal to 1. Indeed, in that case,
|
||||
* we are dealing with a column-vector (if there is only one column) or with
|
||||
* a row-vector (if there is only one row). */
|
||||
|
||||
NumDimensions = int(MaxSizeAtCompileTime) == 1 ? 0 : bool(IsVectorAtCompileTime) ? 1 : 2,
|
||||
/**< This value is equal to Tensor::NumDimensions, i.e. 0 for scalars, 1 for vectors,
|
||||
* and 2 for matrices.
|
||||
*/
|
||||
|
||||
Flags = internal::traits<Derived>::Flags,
|
||||
/**< This stores expression \ref flags flags which may or may not be inherited by new expressions
|
||||
* constructed from this one. See the \ref flags "list of flags".
|
||||
*/
|
||||
|
||||
IsRowMajor = int(Flags) & RowMajorBit, /**< True if this expression has row-major storage order. */
|
||||
|
||||
InnerSizeAtCompileTime = int(IsVectorAtCompileTime) ? int(SizeAtCompileTime)
|
||||
: int(IsRowMajor) ? int(ColsAtCompileTime) : int(RowsAtCompileTime),
|
||||
|
||||
InnerStrideAtCompileTime = internal::inner_stride_at_compile_time<Derived>::ret,
|
||||
OuterStrideAtCompileTime = internal::outer_stride_at_compile_time<Derived>::ret
|
||||
};
|
||||
|
||||
typedef typename internal::find_best_packet<Scalar,SizeAtCompileTime>::type PacketScalar;
|
||||
|
||||
enum { IsPlainObjectBase = 0 };
|
||||
|
||||
/** The plain matrix type corresponding to this expression.
|
||||
* \sa PlainObject */
|
||||
typedef Matrix<typename internal::traits<Derived>::Scalar,
|
||||
internal::traits<Derived>::RowsAtCompileTime,
|
||||
internal::traits<Derived>::ColsAtCompileTime,
|
||||
AutoAlign | (internal::traits<Derived>::Flags&RowMajorBit ? RowMajor : ColMajor),
|
||||
internal::traits<Derived>::MaxRowsAtCompileTime,
|
||||
internal::traits<Derived>::MaxColsAtCompileTime
|
||||
> PlainMatrix;
|
||||
|
||||
/** The plain array type corresponding to this expression.
|
||||
* \sa PlainObject */
|
||||
typedef Array<typename internal::traits<Derived>::Scalar,
|
||||
internal::traits<Derived>::RowsAtCompileTime,
|
||||
internal::traits<Derived>::ColsAtCompileTime,
|
||||
AutoAlign | (internal::traits<Derived>::Flags&RowMajorBit ? RowMajor : ColMajor),
|
||||
internal::traits<Derived>::MaxRowsAtCompileTime,
|
||||
internal::traits<Derived>::MaxColsAtCompileTime
|
||||
> PlainArray;
|
||||
|
||||
/** \brief The plain matrix or array type corresponding to this expression.
|
||||
*
|
||||
* This is not necessarily exactly the return type of eval(). In the case of plain matrices,
|
||||
* the return type of eval() is a const reference to a matrix, not a matrix! It is however guaranteed
|
||||
* that the return type of eval() is either PlainObject or const PlainObject&.
|
||||
*/
|
||||
typedef typename internal::conditional<internal::is_same<typename internal::traits<Derived>::XprKind,MatrixXpr >::value,
|
||||
PlainMatrix, PlainArray>::type PlainObject;
|
||||
|
||||
/** \returns the number of nonzero coefficients which is in practice the number
|
||||
* of stored coefficients. */
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index nonZeros() const { return size(); }
|
||||
|
||||
/** \returns the outer size.
|
||||
*
|
||||
* \note For a vector, this returns just 1. For a matrix (non-vector), this is the major dimension
|
||||
* with respect to the \ref TopicStorageOrders "storage order", i.e., the number of columns for a
|
||||
* column-major matrix, and the number of rows for a row-major matrix. */
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
Index outerSize() const
|
||||
{
|
||||
return IsVectorAtCompileTime ? 1
|
||||
: int(IsRowMajor) ? this->rows() : this->cols();
|
||||
}
|
||||
|
||||
/** \returns the inner size.
|
||||
*
|
||||
* \note For a vector, this is just the size. For a matrix (non-vector), this is the minor dimension
|
||||
* with respect to the \ref TopicStorageOrders "storage order", i.e., the number of rows for a
|
||||
* column-major matrix, and the number of columns for a row-major matrix. */
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
Index innerSize() const
|
||||
{
|
||||
return IsVectorAtCompileTime ? this->size()
|
||||
: int(IsRowMajor) ? this->cols() : this->rows();
|
||||
}
|
||||
|
||||
/** Only plain matrices/arrays, not expressions, may be resized; therefore the only useful resize methods are
|
||||
* Matrix::resize() and Array::resize(). The present method only asserts that the new size equals the old size, and does
|
||||
* nothing else.
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
void resize(Index newSize)
|
||||
{
|
||||
EIGEN_ONLY_USED_FOR_DEBUG(newSize);
|
||||
eigen_assert(newSize == this->size()
|
||||
&& "DenseBase::resize() does not actually allow to resize.");
|
||||
}
|
||||
/** Only plain matrices/arrays, not expressions, may be resized; therefore the only useful resize methods are
|
||||
* Matrix::resize() and Array::resize(). The present method only asserts that the new size equals the old size, and does
|
||||
* nothing else.
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
void resize(Index rows, Index cols)
|
||||
{
|
||||
EIGEN_ONLY_USED_FOR_DEBUG(rows);
|
||||
EIGEN_ONLY_USED_FOR_DEBUG(cols);
|
||||
eigen_assert(rows == this->rows() && cols == this->cols()
|
||||
&& "DenseBase::resize() does not actually allow to resize.");
|
||||
}
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
/** \internal Represents a matrix with all coefficients equal to one another*/
|
||||
typedef CwiseNullaryOp<internal::scalar_constant_op<Scalar>,PlainObject> ConstantReturnType;
|
||||
/** \internal \deprecated Represents a vector with linearly spaced coefficients that allows sequential access only. */
|
||||
EIGEN_DEPRECATED typedef CwiseNullaryOp<internal::linspaced_op<Scalar>,PlainObject> SequentialLinSpacedReturnType;
|
||||
/** \internal Represents a vector with linearly spaced coefficients that allows random access. */
|
||||
typedef CwiseNullaryOp<internal::linspaced_op<Scalar>,PlainObject> RandomAccessLinSpacedReturnType;
|
||||
/** \internal the return type of MatrixBase::eigenvalues() */
|
||||
typedef Matrix<typename NumTraits<typename internal::traits<Derived>::Scalar>::Real, internal::traits<Derived>::ColsAtCompileTime, 1> EigenvaluesReturnType;
|
||||
|
||||
#endif // not EIGEN_PARSED_BY_DOXYGEN
|
||||
|
||||
/** Copies \a other into *this. \returns a reference to *this. */
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Derived& operator=(const DenseBase<OtherDerived>& other);
|
||||
|
||||
/** Special case of the template operator=, in order to prevent the compiler
|
||||
* from generating a default operator= (issue hit with g++ 4.1)
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Derived& operator=(const DenseBase& other);
|
||||
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
Derived& operator=(const EigenBase<OtherDerived> &other);
|
||||
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
Derived& operator+=(const EigenBase<OtherDerived> &other);
|
||||
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
Derived& operator-=(const EigenBase<OtherDerived> &other);
|
||||
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
Derived& operator=(const ReturnByValue<OtherDerived>& func);
|
||||
|
||||
/** \internal
|
||||
* Copies \a other into *this without evaluating other. \returns a reference to *this. */
|
||||
template<typename OtherDerived>
|
||||
/** \deprecated */
|
||||
EIGEN_DEPRECATED EIGEN_DEVICE_FUNC
|
||||
Derived& lazyAssign(const DenseBase<OtherDerived>& other);
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
CommaInitializer<Derived> operator<< (const Scalar& s);
|
||||
|
||||
template<unsigned int Added,unsigned int Removed>
|
||||
/** \deprecated it now returns \c *this */
|
||||
EIGEN_DEPRECATED
|
||||
const Derived& flagged() const
|
||||
{ return derived(); }
|
||||
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
CommaInitializer<Derived> operator<< (const DenseBase<OtherDerived>& other);
|
||||
|
||||
typedef Transpose<Derived> TransposeReturnType;
|
||||
EIGEN_DEVICE_FUNC
|
||||
TransposeReturnType transpose();
|
||||
typedef typename internal::add_const<Transpose<const Derived> >::type ConstTransposeReturnType;
|
||||
EIGEN_DEVICE_FUNC
|
||||
ConstTransposeReturnType transpose() const;
|
||||
EIGEN_DEVICE_FUNC
|
||||
void transposeInPlace();
|
||||
|
||||
EIGEN_DEVICE_FUNC static const ConstantReturnType
|
||||
Constant(Index rows, Index cols, const Scalar& value);
|
||||
EIGEN_DEVICE_FUNC static const ConstantReturnType
|
||||
Constant(Index size, const Scalar& value);
|
||||
EIGEN_DEVICE_FUNC static const ConstantReturnType
|
||||
Constant(const Scalar& value);
|
||||
|
||||
EIGEN_DEPRECATED EIGEN_DEVICE_FUNC static const RandomAccessLinSpacedReturnType
|
||||
LinSpaced(Sequential_t, Index size, const Scalar& low, const Scalar& high);
|
||||
EIGEN_DEPRECATED EIGEN_DEVICE_FUNC static const RandomAccessLinSpacedReturnType
|
||||
LinSpaced(Sequential_t, const Scalar& low, const Scalar& high);
|
||||
|
||||
EIGEN_DEVICE_FUNC static const RandomAccessLinSpacedReturnType
|
||||
LinSpaced(Index size, const Scalar& low, const Scalar& high);
|
||||
EIGEN_DEVICE_FUNC static const RandomAccessLinSpacedReturnType
|
||||
LinSpaced(const Scalar& low, const Scalar& high);
|
||||
|
||||
template<typename CustomNullaryOp> EIGEN_DEVICE_FUNC
|
||||
static const CwiseNullaryOp<CustomNullaryOp, PlainObject>
|
||||
NullaryExpr(Index rows, Index cols, const CustomNullaryOp& func);
|
||||
template<typename CustomNullaryOp> EIGEN_DEVICE_FUNC
|
||||
static const CwiseNullaryOp<CustomNullaryOp, PlainObject>
|
||||
NullaryExpr(Index size, const CustomNullaryOp& func);
|
||||
template<typename CustomNullaryOp> EIGEN_DEVICE_FUNC
|
||||
static const CwiseNullaryOp<CustomNullaryOp, PlainObject>
|
||||
NullaryExpr(const CustomNullaryOp& func);
|
||||
|
||||
EIGEN_DEVICE_FUNC static const ConstantReturnType Zero(Index rows, Index cols);
|
||||
EIGEN_DEVICE_FUNC static const ConstantReturnType Zero(Index size);
|
||||
EIGEN_DEVICE_FUNC static const ConstantReturnType Zero();
|
||||
EIGEN_DEVICE_FUNC static const ConstantReturnType Ones(Index rows, Index cols);
|
||||
EIGEN_DEVICE_FUNC static const ConstantReturnType Ones(Index size);
|
||||
EIGEN_DEVICE_FUNC static const ConstantReturnType Ones();
|
||||
|
||||
EIGEN_DEVICE_FUNC void fill(const Scalar& value);
|
||||
EIGEN_DEVICE_FUNC Derived& setConstant(const Scalar& value);
|
||||
EIGEN_DEVICE_FUNC Derived& setLinSpaced(Index size, const Scalar& low, const Scalar& high);
|
||||
EIGEN_DEVICE_FUNC Derived& setLinSpaced(const Scalar& low, const Scalar& high);
|
||||
EIGEN_DEVICE_FUNC Derived& setZero();
|
||||
EIGEN_DEVICE_FUNC Derived& setOnes();
|
||||
EIGEN_DEVICE_FUNC Derived& setRandom();
|
||||
|
||||
template<typename OtherDerived> EIGEN_DEVICE_FUNC
|
||||
bool isApprox(const DenseBase<OtherDerived>& other,
|
||||
const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
||||
EIGEN_DEVICE_FUNC
|
||||
bool isMuchSmallerThan(const RealScalar& other,
|
||||
const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
||||
template<typename OtherDerived> EIGEN_DEVICE_FUNC
|
||||
bool isMuchSmallerThan(const DenseBase<OtherDerived>& other,
|
||||
const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
||||
|
||||
EIGEN_DEVICE_FUNC bool isApproxToConstant(const Scalar& value, const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
||||
EIGEN_DEVICE_FUNC bool isConstant(const Scalar& value, const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
||||
EIGEN_DEVICE_FUNC bool isZero(const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
||||
EIGEN_DEVICE_FUNC bool isOnes(const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const;
|
||||
|
||||
inline bool hasNaN() const;
|
||||
inline bool allFinite() const;
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Derived& operator*=(const Scalar& other);
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
Derived& operator/=(const Scalar& other);
|
||||
|
||||
typedef typename internal::add_const_on_value_type<typename internal::eval<Derived>::type>::type EvalReturnType;
|
||||
/** \returns the matrix or vector obtained by evaluating this expression.
|
||||
*
|
||||
* Notice that in the case of a plain matrix or vector (not an expression) this function just returns
|
||||
* a const reference, in order to avoid a useless copy.
|
||||
*
|
||||
* \warning Be careful with eval() and the auto C++ keyword, as detailed in this \link TopicPitfalls_auto_keyword page \endlink.
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE EvalReturnType eval() const
|
||||
{
|
||||
// Even though MSVC does not honor strong inlining when the return type
|
||||
// is a dynamic matrix, we desperately need strong inlining for fixed
|
||||
// size types on MSVC.
|
||||
return typename internal::eval<Derived>::type(derived());
|
||||
}
|
||||
|
||||
/** swaps *this with the expression \a other.
|
||||
*
|
||||
*/
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
void swap(const DenseBase<OtherDerived>& other)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(!OtherDerived::IsPlainObjectBase,THIS_EXPRESSION_IS_NOT_A_LVALUE__IT_IS_READ_ONLY);
|
||||
eigen_assert(rows()==other.rows() && cols()==other.cols());
|
||||
call_assignment(derived(), other.const_cast_derived(), internal::swap_assign_op<Scalar>());
|
||||
}
|
||||
|
||||
/** swaps *this with the matrix or array \a other.
|
||||
*
|
||||
*/
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
void swap(PlainObjectBase<OtherDerived>& other)
|
||||
{
|
||||
eigen_assert(rows()==other.rows() && cols()==other.cols());
|
||||
call_assignment(derived(), other.derived(), internal::swap_assign_op<Scalar>());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC inline const NestByValue<Derived> nestByValue() const;
|
||||
EIGEN_DEVICE_FUNC inline const ForceAlignedAccess<Derived> forceAlignedAccess() const;
|
||||
EIGEN_DEVICE_FUNC inline ForceAlignedAccess<Derived> forceAlignedAccess();
|
||||
template<bool Enable> EIGEN_DEVICE_FUNC
|
||||
inline const typename internal::conditional<Enable,ForceAlignedAccess<Derived>,Derived&>::type forceAlignedAccessIf() const;
|
||||
template<bool Enable> EIGEN_DEVICE_FUNC
|
||||
inline typename internal::conditional<Enable,ForceAlignedAccess<Derived>,Derived&>::type forceAlignedAccessIf();
|
||||
|
||||
EIGEN_DEVICE_FUNC Scalar sum() const;
|
||||
EIGEN_DEVICE_FUNC Scalar mean() const;
|
||||
EIGEN_DEVICE_FUNC Scalar trace() const;
|
||||
|
||||
EIGEN_DEVICE_FUNC Scalar prod() const;
|
||||
|
||||
template<int NaNPropagation>
|
||||
EIGEN_DEVICE_FUNC typename internal::traits<Derived>::Scalar minCoeff() const;
|
||||
template<int NaNPropagation>
|
||||
EIGEN_DEVICE_FUNC typename internal::traits<Derived>::Scalar maxCoeff() const;
|
||||
|
||||
|
||||
// By default, the fastest version with undefined NaN propagation semantics is
|
||||
// used.
|
||||
// TODO(rmlarsen): Replace with default template argument when we move to
|
||||
// c++11 or beyond.
|
||||
EIGEN_DEVICE_FUNC inline typename internal::traits<Derived>::Scalar minCoeff() const {
|
||||
return minCoeff<PropagateFast>();
|
||||
}
|
||||
EIGEN_DEVICE_FUNC inline typename internal::traits<Derived>::Scalar maxCoeff() const {
|
||||
return maxCoeff<PropagateFast>();
|
||||
}
|
||||
|
||||
template<int NaNPropagation, typename IndexType>
|
||||
EIGEN_DEVICE_FUNC
|
||||
typename internal::traits<Derived>::Scalar minCoeff(IndexType* row, IndexType* col) const;
|
||||
template<int NaNPropagation, typename IndexType>
|
||||
EIGEN_DEVICE_FUNC
|
||||
typename internal::traits<Derived>::Scalar maxCoeff(IndexType* row, IndexType* col) const;
|
||||
template<int NaNPropagation, typename IndexType>
|
||||
EIGEN_DEVICE_FUNC
|
||||
typename internal::traits<Derived>::Scalar minCoeff(IndexType* index) const;
|
||||
template<int NaNPropagation, typename IndexType>
|
||||
EIGEN_DEVICE_FUNC
|
||||
typename internal::traits<Derived>::Scalar maxCoeff(IndexType* index) const;
|
||||
|
||||
// TODO(rmlarsen): Replace these methods with a default template argument.
|
||||
template<typename IndexType>
|
||||
EIGEN_DEVICE_FUNC inline
|
||||
typename internal::traits<Derived>::Scalar minCoeff(IndexType* row, IndexType* col) const {
|
||||
return minCoeff<PropagateFast>(row, col);
|
||||
}
|
||||
template<typename IndexType>
|
||||
EIGEN_DEVICE_FUNC inline
|
||||
typename internal::traits<Derived>::Scalar maxCoeff(IndexType* row, IndexType* col) const {
|
||||
return maxCoeff<PropagateFast>(row, col);
|
||||
}
|
||||
template<typename IndexType>
|
||||
EIGEN_DEVICE_FUNC inline
|
||||
typename internal::traits<Derived>::Scalar minCoeff(IndexType* index) const {
|
||||
return minCoeff<PropagateFast>(index);
|
||||
}
|
||||
template<typename IndexType>
|
||||
EIGEN_DEVICE_FUNC inline
|
||||
typename internal::traits<Derived>::Scalar maxCoeff(IndexType* index) const {
|
||||
return maxCoeff<PropagateFast>(index);
|
||||
}
|
||||
|
||||
template<typename BinaryOp>
|
||||
EIGEN_DEVICE_FUNC
|
||||
Scalar redux(const BinaryOp& func) const;
|
||||
|
||||
template<typename Visitor>
|
||||
EIGEN_DEVICE_FUNC
|
||||
void visit(Visitor& func) const;
|
||||
|
||||
/** \returns a WithFormat proxy object allowing to print a matrix the with given
|
||||
* format \a fmt.
|
||||
*
|
||||
* See class IOFormat for some examples.
|
||||
*
|
||||
* \sa class IOFormat, class WithFormat
|
||||
*/
|
||||
inline const WithFormat<Derived> format(const IOFormat& fmt) const
|
||||
{
|
||||
return WithFormat<Derived>(derived(), fmt);
|
||||
}
|
||||
|
||||
/** \returns the unique coefficient of a 1x1 expression */
|
||||
EIGEN_DEVICE_FUNC
|
||||
CoeffReturnType value() const
|
||||
{
|
||||
EIGEN_STATIC_ASSERT_SIZE_1x1(Derived)
|
||||
eigen_assert(this->rows() == 1 && this->cols() == 1);
|
||||
return derived().coeff(0,0);
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC bool all() const;
|
||||
EIGEN_DEVICE_FUNC bool any() const;
|
||||
EIGEN_DEVICE_FUNC Index count() const;
|
||||
|
||||
typedef VectorwiseOp<Derived, Horizontal> RowwiseReturnType;
|
||||
typedef const VectorwiseOp<const Derived, Horizontal> ConstRowwiseReturnType;
|
||||
typedef VectorwiseOp<Derived, Vertical> ColwiseReturnType;
|
||||
typedef const VectorwiseOp<const Derived, Vertical> ConstColwiseReturnType;
|
||||
|
||||
/** \returns a VectorwiseOp wrapper of *this for broadcasting and partial reductions
|
||||
*
|
||||
* Example: \include MatrixBase_rowwise.cpp
|
||||
* Output: \verbinclude MatrixBase_rowwise.out
|
||||
*
|
||||
* \sa colwise(), class VectorwiseOp, \ref TutorialReductionsVisitorsBroadcasting
|
||||
*/
|
||||
//Code moved here due to a CUDA compiler bug
|
||||
EIGEN_DEVICE_FUNC inline ConstRowwiseReturnType rowwise() const {
|
||||
return ConstRowwiseReturnType(derived());
|
||||
}
|
||||
EIGEN_DEVICE_FUNC RowwiseReturnType rowwise();
|
||||
|
||||
/** \returns a VectorwiseOp wrapper of *this broadcasting and partial reductions
|
||||
*
|
||||
* Example: \include MatrixBase_colwise.cpp
|
||||
* Output: \verbinclude MatrixBase_colwise.out
|
||||
*
|
||||
* \sa rowwise(), class VectorwiseOp, \ref TutorialReductionsVisitorsBroadcasting
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC inline ConstColwiseReturnType colwise() const {
|
||||
return ConstColwiseReturnType(derived());
|
||||
}
|
||||
EIGEN_DEVICE_FUNC ColwiseReturnType colwise();
|
||||
|
||||
typedef CwiseNullaryOp<internal::scalar_random_op<Scalar>,PlainObject> RandomReturnType;
|
||||
static const RandomReturnType Random(Index rows, Index cols);
|
||||
static const RandomReturnType Random(Index size);
|
||||
static const RandomReturnType Random();
|
||||
|
||||
template<typename ThenDerived,typename ElseDerived>
|
||||
inline EIGEN_DEVICE_FUNC const Select<Derived,ThenDerived,ElseDerived>
|
||||
select(const DenseBase<ThenDerived>& thenMatrix,
|
||||
const DenseBase<ElseDerived>& elseMatrix) const;
|
||||
|
||||
template<typename ThenDerived>
|
||||
inline EIGEN_DEVICE_FUNC const Select<Derived,ThenDerived, typename ThenDerived::ConstantReturnType>
|
||||
select(const DenseBase<ThenDerived>& thenMatrix, const typename ThenDerived::Scalar& elseScalar) const;
|
||||
|
||||
template<typename ElseDerived>
|
||||
inline EIGEN_DEVICE_FUNC const Select<Derived, typename ElseDerived::ConstantReturnType, ElseDerived >
|
||||
select(const typename ElseDerived::Scalar& thenScalar, const DenseBase<ElseDerived>& elseMatrix) const;
|
||||
|
||||
template<int p> RealScalar lpNorm() const;
|
||||
|
||||
template<int RowFactor, int ColFactor>
|
||||
EIGEN_DEVICE_FUNC
|
||||
const Replicate<Derived,RowFactor,ColFactor> replicate() const;
|
||||
/**
|
||||
* \return an expression of the replication of \c *this
|
||||
*
|
||||
* Example: \include MatrixBase_replicate_int_int.cpp
|
||||
* Output: \verbinclude MatrixBase_replicate_int_int.out
|
||||
*
|
||||
* \sa VectorwiseOp::replicate(), DenseBase::replicate<int,int>(), class Replicate
|
||||
*/
|
||||
//Code moved here due to a CUDA compiler bug
|
||||
EIGEN_DEVICE_FUNC
|
||||
const Replicate<Derived, Dynamic, Dynamic> replicate(Index rowFactor, Index colFactor) const
|
||||
{
|
||||
return Replicate<Derived, Dynamic, Dynamic>(derived(), rowFactor, colFactor);
|
||||
}
|
||||
|
||||
typedef Reverse<Derived, BothDirections> ReverseReturnType;
|
||||
typedef const Reverse<const Derived, BothDirections> ConstReverseReturnType;
|
||||
EIGEN_DEVICE_FUNC ReverseReturnType reverse();
|
||||
/** This is the const version of reverse(). */
|
||||
//Code moved here due to a CUDA compiler bug
|
||||
EIGEN_DEVICE_FUNC ConstReverseReturnType reverse() const
|
||||
{
|
||||
return ConstReverseReturnType(derived());
|
||||
}
|
||||
EIGEN_DEVICE_FUNC void reverseInPlace();
|
||||
|
||||
#ifdef EIGEN_PARSED_BY_DOXYGEN
|
||||
/** STL-like <a href="https://en.cppreference.com/w/cpp/named_req/RandomAccessIterator">RandomAccessIterator</a>
|
||||
* iterator type as returned by the begin() and end() methods.
|
||||
*/
|
||||
typedef random_access_iterator_type iterator;
|
||||
/** This is the const version of iterator (aka read-only) */
|
||||
typedef random_access_iterator_type const_iterator;
|
||||
#else
|
||||
typedef typename internal::conditional< (Flags&DirectAccessBit)==DirectAccessBit,
|
||||
internal::pointer_based_stl_iterator<Derived>,
|
||||
internal::generic_randaccess_stl_iterator<Derived>
|
||||
>::type iterator_type;
|
||||
|
||||
typedef typename internal::conditional< (Flags&DirectAccessBit)==DirectAccessBit,
|
||||
internal::pointer_based_stl_iterator<const Derived>,
|
||||
internal::generic_randaccess_stl_iterator<const Derived>
|
||||
>::type const_iterator_type;
|
||||
|
||||
// Stl-style iterators are supported only for vectors.
|
||||
|
||||
typedef typename internal::conditional< IsVectorAtCompileTime,
|
||||
iterator_type,
|
||||
void
|
||||
>::type iterator;
|
||||
|
||||
typedef typename internal::conditional< IsVectorAtCompileTime,
|
||||
const_iterator_type,
|
||||
void
|
||||
>::type const_iterator;
|
||||
#endif
|
||||
|
||||
inline iterator begin();
|
||||
inline const_iterator begin() const;
|
||||
inline const_iterator cbegin() const;
|
||||
inline iterator end();
|
||||
inline const_iterator end() const;
|
||||
inline const_iterator cend() const;
|
||||
|
||||
#define EIGEN_CURRENT_STORAGE_BASE_CLASS Eigen::DenseBase
|
||||
#define EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL
|
||||
#define EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(COND)
|
||||
#define EIGEN_DOC_UNARY_ADDONS(X,Y)
|
||||
# include "../plugins/CommonCwiseUnaryOps.h"
|
||||
# include "../plugins/BlockMethods.h"
|
||||
# include "../plugins/IndexedViewMethods.h"
|
||||
# include "../plugins/ReshapedMethods.h"
|
||||
# ifdef EIGEN_DENSEBASE_PLUGIN
|
||||
# include EIGEN_DENSEBASE_PLUGIN
|
||||
# endif
|
||||
#undef EIGEN_CURRENT_STORAGE_BASE_CLASS
|
||||
#undef EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL
|
||||
#undef EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF
|
||||
#undef EIGEN_DOC_UNARY_ADDONS
|
||||
|
||||
// disable the use of evalTo for dense objects with a nice compilation error
|
||||
template<typename Dest>
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline void evalTo(Dest& ) const
|
||||
{
|
||||
EIGEN_STATIC_ASSERT((internal::is_same<Dest,void>::value),THE_EVAL_EVALTO_FUNCTION_SHOULD_NEVER_BE_CALLED_FOR_DENSE_OBJECTS);
|
||||
}
|
||||
|
||||
protected:
|
||||
EIGEN_DEFAULT_COPY_CONSTRUCTOR(DenseBase)
|
||||
/** Default constructor. Do nothing. */
|
||||
EIGEN_DEVICE_FUNC DenseBase()
|
||||
{
|
||||
/* Just checks for self-consistency of the flags.
|
||||
* Only do it when debugging Eigen, as this borders on paranoia and could slow compilation down
|
||||
*/
|
||||
#ifdef EIGEN_INTERNAL_DEBUGGING
|
||||
EIGEN_STATIC_ASSERT((EIGEN_IMPLIES(MaxRowsAtCompileTime==1 && MaxColsAtCompileTime!=1, int(IsRowMajor))
|
||||
&& EIGEN_IMPLIES(MaxColsAtCompileTime==1 && MaxRowsAtCompileTime!=1, int(!IsRowMajor))),
|
||||
INVALID_STORAGE_ORDER_FOR_THIS_VECTOR_EXPRESSION)
|
||||
#endif
|
||||
}
|
||||
|
||||
private:
|
||||
EIGEN_DEVICE_FUNC explicit DenseBase(int);
|
||||
EIGEN_DEVICE_FUNC DenseBase(int,int);
|
||||
template<typename OtherDerived> EIGEN_DEVICE_FUNC explicit DenseBase(const DenseBase<OtherDerived>&);
|
||||
};
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_DENSEBASE_H
|
||||
|
|
@ -0,0 +1,685 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_DENSECOEFFSBASE_H
|
||||
#define EIGEN_DENSECOEFFSBASE_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
template<typename T> struct add_const_on_value_type_if_arithmetic
|
||||
{
|
||||
typedef typename conditional<is_arithmetic<T>::value, T, typename add_const_on_value_type<T>::type>::type type;
|
||||
};
|
||||
}
|
||||
|
||||
/** \brief Base class providing read-only coefficient access to matrices and arrays.
|
||||
* \ingroup Core_Module
|
||||
* \tparam Derived Type of the derived class
|
||||
*
|
||||
* \note #ReadOnlyAccessors Constant indicating read-only access
|
||||
*
|
||||
* This class defines the \c operator() \c const function and friends, which can be used to read specific
|
||||
* entries of a matrix or array.
|
||||
*
|
||||
* \sa DenseCoeffsBase<Derived, WriteAccessors>, DenseCoeffsBase<Derived, DirectAccessors>,
|
||||
* \ref TopicClassHierarchy
|
||||
*/
|
||||
template<typename Derived>
|
||||
class DenseCoeffsBase<Derived,ReadOnlyAccessors> : public EigenBase<Derived>
|
||||
{
|
||||
public:
|
||||
typedef typename internal::traits<Derived>::StorageKind StorageKind;
|
||||
typedef typename internal::traits<Derived>::Scalar Scalar;
|
||||
typedef typename internal::packet_traits<Scalar>::type PacketScalar;
|
||||
|
||||
// Explanation for this CoeffReturnType typedef.
|
||||
// - This is the return type of the coeff() method.
|
||||
// - The LvalueBit means exactly that we can offer a coeffRef() method, which means exactly that we can get references
|
||||
// to coeffs, which means exactly that we can have coeff() return a const reference (as opposed to returning a value).
|
||||
// - The is_artihmetic check is required since "const int", "const double", etc. will cause warnings on some systems
|
||||
// while the declaration of "const T", where T is a non arithmetic type does not. Always returning "const Scalar&" is
|
||||
// not possible, since the underlying expressions might not offer a valid address the reference could be referring to.
|
||||
typedef typename internal::conditional<bool(internal::traits<Derived>::Flags&LvalueBit),
|
||||
const Scalar&,
|
||||
typename internal::conditional<internal::is_arithmetic<Scalar>::value, Scalar, const Scalar>::type
|
||||
>::type CoeffReturnType;
|
||||
|
||||
typedef typename internal::add_const_on_value_type_if_arithmetic<
|
||||
typename internal::packet_traits<Scalar>::type
|
||||
>::type PacketReturnType;
|
||||
|
||||
typedef EigenBase<Derived> Base;
|
||||
using Base::rows;
|
||||
using Base::cols;
|
||||
using Base::size;
|
||||
using Base::derived;
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Index rowIndexByOuterInner(Index outer, Index inner) const
|
||||
{
|
||||
return int(Derived::RowsAtCompileTime) == 1 ? 0
|
||||
: int(Derived::ColsAtCompileTime) == 1 ? inner
|
||||
: int(Derived::Flags)&RowMajorBit ? outer
|
||||
: inner;
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Index colIndexByOuterInner(Index outer, Index inner) const
|
||||
{
|
||||
return int(Derived::ColsAtCompileTime) == 1 ? 0
|
||||
: int(Derived::RowsAtCompileTime) == 1 ? inner
|
||||
: int(Derived::Flags)&RowMajorBit ? inner
|
||||
: outer;
|
||||
}
|
||||
|
||||
/** Short version: don't use this function, use
|
||||
* \link operator()(Index,Index) const \endlink instead.
|
||||
*
|
||||
* Long version: this function is similar to
|
||||
* \link operator()(Index,Index) const \endlink, but without the assertion.
|
||||
* Use this for limiting the performance cost of debugging code when doing
|
||||
* repeated coefficient access. Only use this when it is guaranteed that the
|
||||
* parameters \a row and \a col are in range.
|
||||
*
|
||||
* If EIGEN_INTERNAL_DEBUGGING is defined, an assertion will be made, making this
|
||||
* function equivalent to \link operator()(Index,Index) const \endlink.
|
||||
*
|
||||
* \sa operator()(Index,Index) const, coeffRef(Index,Index), coeff(Index) const
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE CoeffReturnType coeff(Index row, Index col) const
|
||||
{
|
||||
eigen_internal_assert(row >= 0 && row < rows()
|
||||
&& col >= 0 && col < cols());
|
||||
return internal::evaluator<Derived>(derived()).coeff(row,col);
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE CoeffReturnType coeffByOuterInner(Index outer, Index inner) const
|
||||
{
|
||||
return coeff(rowIndexByOuterInner(outer, inner),
|
||||
colIndexByOuterInner(outer, inner));
|
||||
}
|
||||
|
||||
/** \returns the coefficient at given the given row and column.
|
||||
*
|
||||
* \sa operator()(Index,Index), operator[](Index)
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE CoeffReturnType operator()(Index row, Index col) const
|
||||
{
|
||||
eigen_assert(row >= 0 && row < rows()
|
||||
&& col >= 0 && col < cols());
|
||||
return coeff(row, col);
|
||||
}
|
||||
|
||||
/** Short version: don't use this function, use
|
||||
* \link operator[](Index) const \endlink instead.
|
||||
*
|
||||
* Long version: this function is similar to
|
||||
* \link operator[](Index) const \endlink, but without the assertion.
|
||||
* Use this for limiting the performance cost of debugging code when doing
|
||||
* repeated coefficient access. Only use this when it is guaranteed that the
|
||||
* parameter \a index is in range.
|
||||
*
|
||||
* If EIGEN_INTERNAL_DEBUGGING is defined, an assertion will be made, making this
|
||||
* function equivalent to \link operator[](Index) const \endlink.
|
||||
*
|
||||
* \sa operator[](Index) const, coeffRef(Index), coeff(Index,Index) const
|
||||
*/
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE CoeffReturnType
|
||||
coeff(Index index) const
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(internal::evaluator<Derived>::Flags & LinearAccessBit,
|
||||
THIS_COEFFICIENT_ACCESSOR_TAKING_ONE_ACCESS_IS_ONLY_FOR_EXPRESSIONS_ALLOWING_LINEAR_ACCESS)
|
||||
eigen_internal_assert(index >= 0 && index < size());
|
||||
return internal::evaluator<Derived>(derived()).coeff(index);
|
||||
}
|
||||
|
||||
|
||||
/** \returns the coefficient at given index.
|
||||
*
|
||||
* This method is allowed only for vector expressions, and for matrix expressions having the LinearAccessBit.
|
||||
*
|
||||
* \sa operator[](Index), operator()(Index,Index) const, x() const, y() const,
|
||||
* z() const, w() const
|
||||
*/
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE CoeffReturnType
|
||||
operator[](Index index) const
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(Derived::IsVectorAtCompileTime,
|
||||
THE_BRACKET_OPERATOR_IS_ONLY_FOR_VECTORS__USE_THE_PARENTHESIS_OPERATOR_INSTEAD)
|
||||
eigen_assert(index >= 0 && index < size());
|
||||
return coeff(index);
|
||||
}
|
||||
|
||||
/** \returns the coefficient at given index.
|
||||
*
|
||||
* This is synonymous to operator[](Index) const.
|
||||
*
|
||||
* This method is allowed only for vector expressions, and for matrix expressions having the LinearAccessBit.
|
||||
*
|
||||
* \sa operator[](Index), operator()(Index,Index) const, x() const, y() const,
|
||||
* z() const, w() const
|
||||
*/
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE CoeffReturnType
|
||||
operator()(Index index) const
|
||||
{
|
||||
eigen_assert(index >= 0 && index < size());
|
||||
return coeff(index);
|
||||
}
|
||||
|
||||
/** equivalent to operator[](0). */
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE CoeffReturnType
|
||||
x() const { return (*this)[0]; }
|
||||
|
||||
/** equivalent to operator[](1). */
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE CoeffReturnType
|
||||
y() const
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(Derived::SizeAtCompileTime==-1 || Derived::SizeAtCompileTime>=2, OUT_OF_RANGE_ACCESS);
|
||||
return (*this)[1];
|
||||
}
|
||||
|
||||
/** equivalent to operator[](2). */
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE CoeffReturnType
|
||||
z() const
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(Derived::SizeAtCompileTime==-1 || Derived::SizeAtCompileTime>=3, OUT_OF_RANGE_ACCESS);
|
||||
return (*this)[2];
|
||||
}
|
||||
|
||||
/** equivalent to operator[](3). */
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE CoeffReturnType
|
||||
w() const
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(Derived::SizeAtCompileTime==-1 || Derived::SizeAtCompileTime>=4, OUT_OF_RANGE_ACCESS);
|
||||
return (*this)[3];
|
||||
}
|
||||
|
||||
/** \internal
|
||||
* \returns the packet of coefficients starting at the given row and column. It is your responsibility
|
||||
* to ensure that a packet really starts there. This method is only available on expressions having the
|
||||
* PacketAccessBit.
|
||||
*
|
||||
* The \a LoadMode parameter may have the value \a #Aligned or \a #Unaligned. Its effect is to select
|
||||
* the appropriate vectorization instruction. Aligned access is faster, but is only possible for packets
|
||||
* starting at an address which is a multiple of the packet size.
|
||||
*/
|
||||
|
||||
template<int LoadMode>
|
||||
EIGEN_STRONG_INLINE PacketReturnType packet(Index row, Index col) const
|
||||
{
|
||||
typedef typename internal::packet_traits<Scalar>::type DefaultPacketType;
|
||||
eigen_internal_assert(row >= 0 && row < rows() && col >= 0 && col < cols());
|
||||
return internal::evaluator<Derived>(derived()).template packet<LoadMode,DefaultPacketType>(row,col);
|
||||
}
|
||||
|
||||
|
||||
/** \internal */
|
||||
template<int LoadMode>
|
||||
EIGEN_STRONG_INLINE PacketReturnType packetByOuterInner(Index outer, Index inner) const
|
||||
{
|
||||
return packet<LoadMode>(rowIndexByOuterInner(outer, inner),
|
||||
colIndexByOuterInner(outer, inner));
|
||||
}
|
||||
|
||||
/** \internal
|
||||
* \returns the packet of coefficients starting at the given index. It is your responsibility
|
||||
* to ensure that a packet really starts there. This method is only available on expressions having the
|
||||
* PacketAccessBit and the LinearAccessBit.
|
||||
*
|
||||
* The \a LoadMode parameter may have the value \a #Aligned or \a #Unaligned. Its effect is to select
|
||||
* the appropriate vectorization instruction. Aligned access is faster, but is only possible for packets
|
||||
* starting at an address which is a multiple of the packet size.
|
||||
*/
|
||||
|
||||
template<int LoadMode>
|
||||
EIGEN_STRONG_INLINE PacketReturnType packet(Index index) const
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(internal::evaluator<Derived>::Flags & LinearAccessBit,
|
||||
THIS_COEFFICIENT_ACCESSOR_TAKING_ONE_ACCESS_IS_ONLY_FOR_EXPRESSIONS_ALLOWING_LINEAR_ACCESS)
|
||||
typedef typename internal::packet_traits<Scalar>::type DefaultPacketType;
|
||||
eigen_internal_assert(index >= 0 && index < size());
|
||||
return internal::evaluator<Derived>(derived()).template packet<LoadMode,DefaultPacketType>(index);
|
||||
}
|
||||
|
||||
protected:
|
||||
// explanation: DenseBase is doing "using ..." on the methods from DenseCoeffsBase.
|
||||
// But some methods are only available in the DirectAccess case.
|
||||
// So we add dummy methods here with these names, so that "using... " doesn't fail.
|
||||
// It's not private so that the child class DenseBase can access them, and it's not public
|
||||
// either since it's an implementation detail, so has to be protected.
|
||||
void coeffRef();
|
||||
void coeffRefByOuterInner();
|
||||
void writePacket();
|
||||
void writePacketByOuterInner();
|
||||
void copyCoeff();
|
||||
void copyCoeffByOuterInner();
|
||||
void copyPacket();
|
||||
void copyPacketByOuterInner();
|
||||
void stride();
|
||||
void innerStride();
|
||||
void outerStride();
|
||||
void rowStride();
|
||||
void colStride();
|
||||
};
|
||||
|
||||
/** \brief Base class providing read/write coefficient access to matrices and arrays.
|
||||
* \ingroup Core_Module
|
||||
* \tparam Derived Type of the derived class
|
||||
*
|
||||
* \note #WriteAccessors Constant indicating read/write access
|
||||
*
|
||||
* This class defines the non-const \c operator() function and friends, which can be used to write specific
|
||||
* entries of a matrix or array. This class inherits DenseCoeffsBase<Derived, ReadOnlyAccessors> which
|
||||
* defines the const variant for reading specific entries.
|
||||
*
|
||||
* \sa DenseCoeffsBase<Derived, DirectAccessors>, \ref TopicClassHierarchy
|
||||
*/
|
||||
template<typename Derived>
|
||||
class DenseCoeffsBase<Derived, WriteAccessors> : public DenseCoeffsBase<Derived, ReadOnlyAccessors>
|
||||
{
|
||||
public:
|
||||
|
||||
typedef DenseCoeffsBase<Derived, ReadOnlyAccessors> Base;
|
||||
|
||||
typedef typename internal::traits<Derived>::StorageKind StorageKind;
|
||||
typedef typename internal::traits<Derived>::Scalar Scalar;
|
||||
typedef typename internal::packet_traits<Scalar>::type PacketScalar;
|
||||
typedef typename NumTraits<Scalar>::Real RealScalar;
|
||||
|
||||
using Base::coeff;
|
||||
using Base::rows;
|
||||
using Base::cols;
|
||||
using Base::size;
|
||||
using Base::derived;
|
||||
using Base::rowIndexByOuterInner;
|
||||
using Base::colIndexByOuterInner;
|
||||
using Base::operator[];
|
||||
using Base::operator();
|
||||
using Base::x;
|
||||
using Base::y;
|
||||
using Base::z;
|
||||
using Base::w;
|
||||
|
||||
/** Short version: don't use this function, use
|
||||
* \link operator()(Index,Index) \endlink instead.
|
||||
*
|
||||
* Long version: this function is similar to
|
||||
* \link operator()(Index,Index) \endlink, but without the assertion.
|
||||
* Use this for limiting the performance cost of debugging code when doing
|
||||
* repeated coefficient access. Only use this when it is guaranteed that the
|
||||
* parameters \a row and \a col are in range.
|
||||
*
|
||||
* If EIGEN_INTERNAL_DEBUGGING is defined, an assertion will be made, making this
|
||||
* function equivalent to \link operator()(Index,Index) \endlink.
|
||||
*
|
||||
* \sa operator()(Index,Index), coeff(Index, Index) const, coeffRef(Index)
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Scalar& coeffRef(Index row, Index col)
|
||||
{
|
||||
eigen_internal_assert(row >= 0 && row < rows()
|
||||
&& col >= 0 && col < cols());
|
||||
return internal::evaluator<Derived>(derived()).coeffRef(row,col);
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Scalar&
|
||||
coeffRefByOuterInner(Index outer, Index inner)
|
||||
{
|
||||
return coeffRef(rowIndexByOuterInner(outer, inner),
|
||||
colIndexByOuterInner(outer, inner));
|
||||
}
|
||||
|
||||
/** \returns a reference to the coefficient at given the given row and column.
|
||||
*
|
||||
* \sa operator[](Index)
|
||||
*/
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Scalar&
|
||||
operator()(Index row, Index col)
|
||||
{
|
||||
eigen_assert(row >= 0 && row < rows()
|
||||
&& col >= 0 && col < cols());
|
||||
return coeffRef(row, col);
|
||||
}
|
||||
|
||||
|
||||
/** Short version: don't use this function, use
|
||||
* \link operator[](Index) \endlink instead.
|
||||
*
|
||||
* Long version: this function is similar to
|
||||
* \link operator[](Index) \endlink, but without the assertion.
|
||||
* Use this for limiting the performance cost of debugging code when doing
|
||||
* repeated coefficient access. Only use this when it is guaranteed that the
|
||||
* parameters \a row and \a col are in range.
|
||||
*
|
||||
* If EIGEN_INTERNAL_DEBUGGING is defined, an assertion will be made, making this
|
||||
* function equivalent to \link operator[](Index) \endlink.
|
||||
*
|
||||
* \sa operator[](Index), coeff(Index) const, coeffRef(Index,Index)
|
||||
*/
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Scalar&
|
||||
coeffRef(Index index)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(internal::evaluator<Derived>::Flags & LinearAccessBit,
|
||||
THIS_COEFFICIENT_ACCESSOR_TAKING_ONE_ACCESS_IS_ONLY_FOR_EXPRESSIONS_ALLOWING_LINEAR_ACCESS)
|
||||
eigen_internal_assert(index >= 0 && index < size());
|
||||
return internal::evaluator<Derived>(derived()).coeffRef(index);
|
||||
}
|
||||
|
||||
/** \returns a reference to the coefficient at given index.
|
||||
*
|
||||
* This method is allowed only for vector expressions, and for matrix expressions having the LinearAccessBit.
|
||||
*
|
||||
* \sa operator[](Index) const, operator()(Index,Index), x(), y(), z(), w()
|
||||
*/
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Scalar&
|
||||
operator[](Index index)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(Derived::IsVectorAtCompileTime,
|
||||
THE_BRACKET_OPERATOR_IS_ONLY_FOR_VECTORS__USE_THE_PARENTHESIS_OPERATOR_INSTEAD)
|
||||
eigen_assert(index >= 0 && index < size());
|
||||
return coeffRef(index);
|
||||
}
|
||||
|
||||
/** \returns a reference to the coefficient at given index.
|
||||
*
|
||||
* This is synonymous to operator[](Index).
|
||||
*
|
||||
* This method is allowed only for vector expressions, and for matrix expressions having the LinearAccessBit.
|
||||
*
|
||||
* \sa operator[](Index) const, operator()(Index,Index), x(), y(), z(), w()
|
||||
*/
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Scalar&
|
||||
operator()(Index index)
|
||||
{
|
||||
eigen_assert(index >= 0 && index < size());
|
||||
return coeffRef(index);
|
||||
}
|
||||
|
||||
/** equivalent to operator[](0). */
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Scalar&
|
||||
x() { return (*this)[0]; }
|
||||
|
||||
/** equivalent to operator[](1). */
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Scalar&
|
||||
y()
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(Derived::SizeAtCompileTime==-1 || Derived::SizeAtCompileTime>=2, OUT_OF_RANGE_ACCESS);
|
||||
return (*this)[1];
|
||||
}
|
||||
|
||||
/** equivalent to operator[](2). */
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Scalar&
|
||||
z()
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(Derived::SizeAtCompileTime==-1 || Derived::SizeAtCompileTime>=3, OUT_OF_RANGE_ACCESS);
|
||||
return (*this)[2];
|
||||
}
|
||||
|
||||
/** equivalent to operator[](3). */
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE Scalar&
|
||||
w()
|
||||
{
|
||||
EIGEN_STATIC_ASSERT(Derived::SizeAtCompileTime==-1 || Derived::SizeAtCompileTime>=4, OUT_OF_RANGE_ACCESS);
|
||||
return (*this)[3];
|
||||
}
|
||||
};
|
||||
|
||||
/** \brief Base class providing direct read-only coefficient access to matrices and arrays.
|
||||
* \ingroup Core_Module
|
||||
* \tparam Derived Type of the derived class
|
||||
*
|
||||
* \note #DirectAccessors Constant indicating direct access
|
||||
*
|
||||
* This class defines functions to work with strides which can be used to access entries directly. This class
|
||||
* inherits DenseCoeffsBase<Derived, ReadOnlyAccessors> which defines functions to access entries read-only using
|
||||
* \c operator() .
|
||||
*
|
||||
* \sa \blank \ref TopicClassHierarchy
|
||||
*/
|
||||
template<typename Derived>
|
||||
class DenseCoeffsBase<Derived, DirectAccessors> : public DenseCoeffsBase<Derived, ReadOnlyAccessors>
|
||||
{
|
||||
public:
|
||||
|
||||
typedef DenseCoeffsBase<Derived, ReadOnlyAccessors> Base;
|
||||
typedef typename internal::traits<Derived>::Scalar Scalar;
|
||||
typedef typename NumTraits<Scalar>::Real RealScalar;
|
||||
|
||||
using Base::rows;
|
||||
using Base::cols;
|
||||
using Base::size;
|
||||
using Base::derived;
|
||||
|
||||
/** \returns the pointer increment between two consecutive elements within a slice in the inner direction.
|
||||
*
|
||||
* \sa outerStride(), rowStride(), colStride()
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index innerStride() const
|
||||
{
|
||||
return derived().innerStride();
|
||||
}
|
||||
|
||||
/** \returns the pointer increment between two consecutive inner slices (for example, between two consecutive columns
|
||||
* in a column-major matrix).
|
||||
*
|
||||
* \sa innerStride(), rowStride(), colStride()
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index outerStride() const
|
||||
{
|
||||
return derived().outerStride();
|
||||
}
|
||||
|
||||
// FIXME shall we remove it ?
|
||||
EIGEN_CONSTEXPR inline Index stride() const
|
||||
{
|
||||
return Derived::IsVectorAtCompileTime ? innerStride() : outerStride();
|
||||
}
|
||||
|
||||
/** \returns the pointer increment between two consecutive rows.
|
||||
*
|
||||
* \sa innerStride(), outerStride(), colStride()
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index rowStride() const
|
||||
{
|
||||
return Derived::IsRowMajor ? outerStride() : innerStride();
|
||||
}
|
||||
|
||||
/** \returns the pointer increment between two consecutive columns.
|
||||
*
|
||||
* \sa innerStride(), outerStride(), rowStride()
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index colStride() const
|
||||
{
|
||||
return Derived::IsRowMajor ? innerStride() : outerStride();
|
||||
}
|
||||
};
|
||||
|
||||
/** \brief Base class providing direct read/write coefficient access to matrices and arrays.
|
||||
* \ingroup Core_Module
|
||||
* \tparam Derived Type of the derived class
|
||||
*
|
||||
* \note #DirectWriteAccessors Constant indicating direct access
|
||||
*
|
||||
* This class defines functions to work with strides which can be used to access entries directly. This class
|
||||
* inherits DenseCoeffsBase<Derived, WriteAccessors> which defines functions to access entries read/write using
|
||||
* \c operator().
|
||||
*
|
||||
* \sa \blank \ref TopicClassHierarchy
|
||||
*/
|
||||
template<typename Derived>
|
||||
class DenseCoeffsBase<Derived, DirectWriteAccessors>
|
||||
: public DenseCoeffsBase<Derived, WriteAccessors>
|
||||
{
|
||||
public:
|
||||
|
||||
typedef DenseCoeffsBase<Derived, WriteAccessors> Base;
|
||||
typedef typename internal::traits<Derived>::Scalar Scalar;
|
||||
typedef typename NumTraits<Scalar>::Real RealScalar;
|
||||
|
||||
using Base::rows;
|
||||
using Base::cols;
|
||||
using Base::size;
|
||||
using Base::derived;
|
||||
|
||||
/** \returns the pointer increment between two consecutive elements within a slice in the inner direction.
|
||||
*
|
||||
* \sa outerStride(), rowStride(), colStride()
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index innerStride() const EIGEN_NOEXCEPT
|
||||
{
|
||||
return derived().innerStride();
|
||||
}
|
||||
|
||||
/** \returns the pointer increment between two consecutive inner slices (for example, between two consecutive columns
|
||||
* in a column-major matrix).
|
||||
*
|
||||
* \sa innerStride(), rowStride(), colStride()
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index outerStride() const EIGEN_NOEXCEPT
|
||||
{
|
||||
return derived().outerStride();
|
||||
}
|
||||
|
||||
// FIXME shall we remove it ?
|
||||
EIGEN_CONSTEXPR inline Index stride() const EIGEN_NOEXCEPT
|
||||
{
|
||||
return Derived::IsVectorAtCompileTime ? innerStride() : outerStride();
|
||||
}
|
||||
|
||||
/** \returns the pointer increment between two consecutive rows.
|
||||
*
|
||||
* \sa innerStride(), outerStride(), colStride()
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index rowStride() const EIGEN_NOEXCEPT
|
||||
{
|
||||
return Derived::IsRowMajor ? outerStride() : innerStride();
|
||||
}
|
||||
|
||||
/** \returns the pointer increment between two consecutive columns.
|
||||
*
|
||||
* \sa innerStride(), outerStride(), rowStride()
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index colStride() const EIGEN_NOEXCEPT
|
||||
{
|
||||
return Derived::IsRowMajor ? innerStride() : outerStride();
|
||||
}
|
||||
};
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<int Alignment, typename Derived, bool JustReturnZero>
|
||||
struct first_aligned_impl
|
||||
{
|
||||
static EIGEN_CONSTEXPR inline Index run(const Derived&) EIGEN_NOEXCEPT
|
||||
{ return 0; }
|
||||
};
|
||||
|
||||
template<int Alignment, typename Derived>
|
||||
struct first_aligned_impl<Alignment, Derived, false>
|
||||
{
|
||||
static inline Index run(const Derived& m)
|
||||
{
|
||||
return internal::first_aligned<Alignment>(m.data(), m.size());
|
||||
}
|
||||
};
|
||||
|
||||
/** \internal \returns the index of the first element of the array stored by \a m that is properly aligned with respect to \a Alignment for vectorization.
|
||||
*
|
||||
* \tparam Alignment requested alignment in Bytes.
|
||||
*
|
||||
* There is also the variant first_aligned(const Scalar*, Integer) defined in Memory.h. See it for more
|
||||
* documentation.
|
||||
*/
|
||||
template<int Alignment, typename Derived>
|
||||
static inline Index first_aligned(const DenseBase<Derived>& m)
|
||||
{
|
||||
enum { ReturnZero = (int(evaluator<Derived>::Alignment) >= Alignment) || !(Derived::Flags & DirectAccessBit) };
|
||||
return first_aligned_impl<Alignment, Derived, ReturnZero>::run(m.derived());
|
||||
}
|
||||
|
||||
template<typename Derived>
|
||||
static inline Index first_default_aligned(const DenseBase<Derived>& m)
|
||||
{
|
||||
typedef typename Derived::Scalar Scalar;
|
||||
typedef typename packet_traits<Scalar>::type DefaultPacketType;
|
||||
return internal::first_aligned<int(unpacket_traits<DefaultPacketType>::alignment),Derived>(m);
|
||||
}
|
||||
|
||||
template<typename Derived, bool HasDirectAccess = has_direct_access<Derived>::ret>
|
||||
struct inner_stride_at_compile_time
|
||||
{
|
||||
enum { ret = traits<Derived>::InnerStrideAtCompileTime };
|
||||
};
|
||||
|
||||
template<typename Derived>
|
||||
struct inner_stride_at_compile_time<Derived, false>
|
||||
{
|
||||
enum { ret = 0 };
|
||||
};
|
||||
|
||||
template<typename Derived, bool HasDirectAccess = has_direct_access<Derived>::ret>
|
||||
struct outer_stride_at_compile_time
|
||||
{
|
||||
enum { ret = traits<Derived>::OuterStrideAtCompileTime };
|
||||
};
|
||||
|
||||
template<typename Derived>
|
||||
struct outer_stride_at_compile_time<Derived, false>
|
||||
{
|
||||
enum { ret = 0 };
|
||||
};
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_DENSECOEFFSBASE_H
|
||||
|
|
@ -0,0 +1,652 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2006-2009 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
// Copyright (C) 2010-2013 Hauke Heibel <hauke.heibel@gmail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_MATRIXSTORAGE_H
|
||||
#define EIGEN_MATRIXSTORAGE_H
|
||||
|
||||
#ifdef EIGEN_DENSE_STORAGE_CTOR_PLUGIN
|
||||
#define EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN(X) X; EIGEN_DENSE_STORAGE_CTOR_PLUGIN;
|
||||
#else
|
||||
#define EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN(X)
|
||||
#endif
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
|
||||
struct constructor_without_unaligned_array_assert {};
|
||||
|
||||
template<typename T, int Size>
|
||||
EIGEN_DEVICE_FUNC
|
||||
void check_static_allocation_size()
|
||||
{
|
||||
// if EIGEN_STACK_ALLOCATION_LIMIT is defined to 0, then no limit
|
||||
#if EIGEN_STACK_ALLOCATION_LIMIT
|
||||
EIGEN_STATIC_ASSERT(Size * sizeof(T) <= EIGEN_STACK_ALLOCATION_LIMIT, OBJECT_ALLOCATED_ON_STACK_IS_TOO_BIG);
|
||||
#endif
|
||||
}
|
||||
|
||||
/** \internal
|
||||
* Static array. If the MatrixOrArrayOptions require auto-alignment, the array will be automatically aligned:
|
||||
* to 16 bytes boundary if the total size is a multiple of 16 bytes.
|
||||
*/
|
||||
template <typename T, int Size, int MatrixOrArrayOptions,
|
||||
int Alignment = (MatrixOrArrayOptions&DontAlign) ? 0
|
||||
: compute_default_alignment<T,Size>::value >
|
||||
struct plain_array
|
||||
{
|
||||
T array[Size];
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
plain_array()
|
||||
{
|
||||
check_static_allocation_size<T,Size>();
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
plain_array(constructor_without_unaligned_array_assert)
|
||||
{
|
||||
check_static_allocation_size<T,Size>();
|
||||
}
|
||||
};
|
||||
|
||||
#if defined(EIGEN_DISABLE_UNALIGNED_ARRAY_ASSERT)
|
||||
#define EIGEN_MAKE_UNALIGNED_ARRAY_ASSERT(sizemask)
|
||||
#elif EIGEN_GNUC_AT_LEAST(4,7)
|
||||
// GCC 4.7 is too aggressive in its optimizations and remove the alignment test based on the fact the array is declared to be aligned.
|
||||
// See this bug report: http://gcc.gnu.org/bugzilla/show_bug.cgi?id=53900
|
||||
// Hiding the origin of the array pointer behind a function argument seems to do the trick even if the function is inlined:
|
||||
template<typename PtrType>
|
||||
EIGEN_ALWAYS_INLINE PtrType eigen_unaligned_array_assert_workaround_gcc47(PtrType array) { return array; }
|
||||
#define EIGEN_MAKE_UNALIGNED_ARRAY_ASSERT(sizemask) \
|
||||
eigen_assert((internal::UIntPtr(eigen_unaligned_array_assert_workaround_gcc47(array)) & (sizemask)) == 0 \
|
||||
&& "this assertion is explained here: " \
|
||||
"http://eigen.tuxfamily.org/dox-devel/group__TopicUnalignedArrayAssert.html" \
|
||||
" **** READ THIS WEB PAGE !!! ****");
|
||||
#else
|
||||
#define EIGEN_MAKE_UNALIGNED_ARRAY_ASSERT(sizemask) \
|
||||
eigen_assert((internal::UIntPtr(array) & (sizemask)) == 0 \
|
||||
&& "this assertion is explained here: " \
|
||||
"http://eigen.tuxfamily.org/dox-devel/group__TopicUnalignedArrayAssert.html" \
|
||||
" **** READ THIS WEB PAGE !!! ****");
|
||||
#endif
|
||||
|
||||
template <typename T, int Size, int MatrixOrArrayOptions>
|
||||
struct plain_array<T, Size, MatrixOrArrayOptions, 8>
|
||||
{
|
||||
EIGEN_ALIGN_TO_BOUNDARY(8) T array[Size];
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
plain_array()
|
||||
{
|
||||
EIGEN_MAKE_UNALIGNED_ARRAY_ASSERT(7);
|
||||
check_static_allocation_size<T,Size>();
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
plain_array(constructor_without_unaligned_array_assert)
|
||||
{
|
||||
check_static_allocation_size<T,Size>();
|
||||
}
|
||||
};
|
||||
|
||||
template <typename T, int Size, int MatrixOrArrayOptions>
|
||||
struct plain_array<T, Size, MatrixOrArrayOptions, 16>
|
||||
{
|
||||
EIGEN_ALIGN_TO_BOUNDARY(16) T array[Size];
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
plain_array()
|
||||
{
|
||||
EIGEN_MAKE_UNALIGNED_ARRAY_ASSERT(15);
|
||||
check_static_allocation_size<T,Size>();
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
plain_array(constructor_without_unaligned_array_assert)
|
||||
{
|
||||
check_static_allocation_size<T,Size>();
|
||||
}
|
||||
};
|
||||
|
||||
template <typename T, int Size, int MatrixOrArrayOptions>
|
||||
struct plain_array<T, Size, MatrixOrArrayOptions, 32>
|
||||
{
|
||||
EIGEN_ALIGN_TO_BOUNDARY(32) T array[Size];
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
plain_array()
|
||||
{
|
||||
EIGEN_MAKE_UNALIGNED_ARRAY_ASSERT(31);
|
||||
check_static_allocation_size<T,Size>();
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
plain_array(constructor_without_unaligned_array_assert)
|
||||
{
|
||||
check_static_allocation_size<T,Size>();
|
||||
}
|
||||
};
|
||||
|
||||
template <typename T, int Size, int MatrixOrArrayOptions>
|
||||
struct plain_array<T, Size, MatrixOrArrayOptions, 64>
|
||||
{
|
||||
EIGEN_ALIGN_TO_BOUNDARY(64) T array[Size];
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
plain_array()
|
||||
{
|
||||
EIGEN_MAKE_UNALIGNED_ARRAY_ASSERT(63);
|
||||
check_static_allocation_size<T,Size>();
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
plain_array(constructor_without_unaligned_array_assert)
|
||||
{
|
||||
check_static_allocation_size<T,Size>();
|
||||
}
|
||||
};
|
||||
|
||||
template <typename T, int MatrixOrArrayOptions, int Alignment>
|
||||
struct plain_array<T, 0, MatrixOrArrayOptions, Alignment>
|
||||
{
|
||||
T array[1];
|
||||
EIGEN_DEVICE_FUNC plain_array() {}
|
||||
EIGEN_DEVICE_FUNC plain_array(constructor_without_unaligned_array_assert) {}
|
||||
};
|
||||
|
||||
struct plain_array_helper {
|
||||
template<typename T, int Size, int MatrixOrArrayOptions, int Alignment>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
static void copy(const plain_array<T, Size, MatrixOrArrayOptions, Alignment>& src, const Eigen::Index size,
|
||||
plain_array<T, Size, MatrixOrArrayOptions, Alignment>& dst) {
|
||||
smart_copy(src.array, src.array + size, dst.array);
|
||||
}
|
||||
|
||||
template<typename T, int Size, int MatrixOrArrayOptions, int Alignment>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
static void swap(plain_array<T, Size, MatrixOrArrayOptions, Alignment>& a, const Eigen::Index a_size,
|
||||
plain_array<T, Size, MatrixOrArrayOptions, Alignment>& b, const Eigen::Index b_size) {
|
||||
if (a_size < b_size) {
|
||||
std::swap_ranges(b.array, b.array + a_size, a.array);
|
||||
smart_move(b.array + a_size, b.array + b_size, a.array + a_size);
|
||||
} else if (a_size > b_size) {
|
||||
std::swap_ranges(a.array, a.array + b_size, b.array);
|
||||
smart_move(a.array + b_size, a.array + a_size, b.array + b_size);
|
||||
} else {
|
||||
std::swap_ranges(a.array, a.array + a_size, b.array);
|
||||
}
|
||||
}
|
||||
};
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
/** \internal
|
||||
*
|
||||
* \class DenseStorage
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Stores the data of a matrix
|
||||
*
|
||||
* This class stores the data of fixed-size, dynamic-size or mixed matrices
|
||||
* in a way as compact as possible.
|
||||
*
|
||||
* \sa Matrix
|
||||
*/
|
||||
template<typename T, int Size, int _Rows, int _Cols, int _Options> class DenseStorage;
|
||||
|
||||
// purely fixed-size matrix
|
||||
template<typename T, int Size, int _Rows, int _Cols, int _Options> class DenseStorage
|
||||
{
|
||||
internal::plain_array<T,Size,_Options> m_data;
|
||||
public:
|
||||
EIGEN_DEVICE_FUNC DenseStorage() {
|
||||
EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN(Index size = Size)
|
||||
}
|
||||
EIGEN_DEVICE_FUNC
|
||||
explicit DenseStorage(internal::constructor_without_unaligned_array_assert)
|
||||
: m_data(internal::constructor_without_unaligned_array_assert()) {}
|
||||
#if !EIGEN_HAS_CXX11 || defined(EIGEN_DENSE_STORAGE_CTOR_PLUGIN)
|
||||
EIGEN_DEVICE_FUNC
|
||||
DenseStorage(const DenseStorage& other) : m_data(other.m_data) {
|
||||
EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN(Index size = Size)
|
||||
}
|
||||
#else
|
||||
EIGEN_DEVICE_FUNC DenseStorage(const DenseStorage&) = default;
|
||||
#endif
|
||||
#if !EIGEN_HAS_CXX11
|
||||
EIGEN_DEVICE_FUNC
|
||||
DenseStorage& operator=(const DenseStorage& other)
|
||||
{
|
||||
if (this != &other) m_data = other.m_data;
|
||||
return *this;
|
||||
}
|
||||
#else
|
||||
EIGEN_DEVICE_FUNC DenseStorage& operator=(const DenseStorage&) = default;
|
||||
#endif
|
||||
#if EIGEN_HAS_RVALUE_REFERENCES
|
||||
#if !EIGEN_HAS_CXX11
|
||||
EIGEN_DEVICE_FUNC DenseStorage(DenseStorage&& other) EIGEN_NOEXCEPT
|
||||
: m_data(std::move(other.m_data))
|
||||
{
|
||||
}
|
||||
EIGEN_DEVICE_FUNC DenseStorage& operator=(DenseStorage&& other) EIGEN_NOEXCEPT
|
||||
{
|
||||
if (this != &other)
|
||||
m_data = std::move(other.m_data);
|
||||
return *this;
|
||||
}
|
||||
#else
|
||||
EIGEN_DEVICE_FUNC DenseStorage(DenseStorage&&) = default;
|
||||
EIGEN_DEVICE_FUNC DenseStorage& operator=(DenseStorage&&) = default;
|
||||
#endif
|
||||
#endif
|
||||
EIGEN_DEVICE_FUNC DenseStorage(Index size, Index rows, Index cols) {
|
||||
EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN({})
|
||||
eigen_internal_assert(size==rows*cols && rows==_Rows && cols==_Cols);
|
||||
EIGEN_UNUSED_VARIABLE(size);
|
||||
EIGEN_UNUSED_VARIABLE(rows);
|
||||
EIGEN_UNUSED_VARIABLE(cols);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC void swap(DenseStorage& other) {
|
||||
numext::swap(m_data, other.m_data);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC static EIGEN_CONSTEXPR Index rows(void) EIGEN_NOEXCEPT {return _Rows;}
|
||||
EIGEN_DEVICE_FUNC static EIGEN_CONSTEXPR Index cols(void) EIGEN_NOEXCEPT {return _Cols;}
|
||||
EIGEN_DEVICE_FUNC void conservativeResize(Index,Index,Index) {}
|
||||
EIGEN_DEVICE_FUNC void resize(Index,Index,Index) {}
|
||||
EIGEN_DEVICE_FUNC const T *data() const { return m_data.array; }
|
||||
EIGEN_DEVICE_FUNC T *data() { return m_data.array; }
|
||||
};
|
||||
|
||||
// null matrix
|
||||
template<typename T, int _Rows, int _Cols, int _Options> class DenseStorage<T, 0, _Rows, _Cols, _Options>
|
||||
{
|
||||
public:
|
||||
EIGEN_DEVICE_FUNC DenseStorage() {}
|
||||
EIGEN_DEVICE_FUNC explicit DenseStorage(internal::constructor_without_unaligned_array_assert) {}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(const DenseStorage&) {}
|
||||
EIGEN_DEVICE_FUNC DenseStorage& operator=(const DenseStorage&) { return *this; }
|
||||
EIGEN_DEVICE_FUNC DenseStorage(Index,Index,Index) {}
|
||||
EIGEN_DEVICE_FUNC void swap(DenseStorage& ) {}
|
||||
EIGEN_DEVICE_FUNC static EIGEN_CONSTEXPR Index rows(void) EIGEN_NOEXCEPT {return _Rows;}
|
||||
EIGEN_DEVICE_FUNC static EIGEN_CONSTEXPR Index cols(void) EIGEN_NOEXCEPT {return _Cols;}
|
||||
EIGEN_DEVICE_FUNC void conservativeResize(Index,Index,Index) {}
|
||||
EIGEN_DEVICE_FUNC void resize(Index,Index,Index) {}
|
||||
EIGEN_DEVICE_FUNC const T *data() const { return 0; }
|
||||
EIGEN_DEVICE_FUNC T *data() { return 0; }
|
||||
};
|
||||
|
||||
// more specializations for null matrices; these are necessary to resolve ambiguities
|
||||
template<typename T, int _Options> class DenseStorage<T, 0, Dynamic, Dynamic, _Options>
|
||||
: public DenseStorage<T, 0, 0, 0, _Options> { };
|
||||
|
||||
template<typename T, int _Rows, int _Options> class DenseStorage<T, 0, _Rows, Dynamic, _Options>
|
||||
: public DenseStorage<T, 0, 0, 0, _Options> { };
|
||||
|
||||
template<typename T, int _Cols, int _Options> class DenseStorage<T, 0, Dynamic, _Cols, _Options>
|
||||
: public DenseStorage<T, 0, 0, 0, _Options> { };
|
||||
|
||||
// dynamic-size matrix with fixed-size storage
|
||||
template<typename T, int Size, int _Options> class DenseStorage<T, Size, Dynamic, Dynamic, _Options>
|
||||
{
|
||||
internal::plain_array<T,Size,_Options> m_data;
|
||||
Index m_rows;
|
||||
Index m_cols;
|
||||
public:
|
||||
EIGEN_DEVICE_FUNC DenseStorage() : m_rows(0), m_cols(0) {}
|
||||
EIGEN_DEVICE_FUNC explicit DenseStorage(internal::constructor_without_unaligned_array_assert)
|
||||
: m_data(internal::constructor_without_unaligned_array_assert()), m_rows(0), m_cols(0) {}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(const DenseStorage& other)
|
||||
: m_data(internal::constructor_without_unaligned_array_assert()), m_rows(other.m_rows), m_cols(other.m_cols)
|
||||
{
|
||||
internal::plain_array_helper::copy(other.m_data, m_rows * m_cols, m_data);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC DenseStorage& operator=(const DenseStorage& other)
|
||||
{
|
||||
if (this != &other)
|
||||
{
|
||||
m_rows = other.m_rows;
|
||||
m_cols = other.m_cols;
|
||||
internal::plain_array_helper::copy(other.m_data, m_rows * m_cols, m_data);
|
||||
}
|
||||
return *this;
|
||||
}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(Index, Index rows, Index cols) : m_rows(rows), m_cols(cols) {}
|
||||
EIGEN_DEVICE_FUNC void swap(DenseStorage& other)
|
||||
{
|
||||
internal::plain_array_helper::swap(m_data, m_rows * m_cols, other.m_data, other.m_rows * other.m_cols);
|
||||
numext::swap(m_rows,other.m_rows);
|
||||
numext::swap(m_cols,other.m_cols);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC Index rows() const {return m_rows;}
|
||||
EIGEN_DEVICE_FUNC Index cols() const {return m_cols;}
|
||||
EIGEN_DEVICE_FUNC void conservativeResize(Index, Index rows, Index cols) { m_rows = rows; m_cols = cols; }
|
||||
EIGEN_DEVICE_FUNC void resize(Index, Index rows, Index cols) { m_rows = rows; m_cols = cols; }
|
||||
EIGEN_DEVICE_FUNC const T *data() const { return m_data.array; }
|
||||
EIGEN_DEVICE_FUNC T *data() { return m_data.array; }
|
||||
};
|
||||
|
||||
// dynamic-size matrix with fixed-size storage and fixed width
|
||||
template<typename T, int Size, int _Cols, int _Options> class DenseStorage<T, Size, Dynamic, _Cols, _Options>
|
||||
{
|
||||
internal::plain_array<T,Size,_Options> m_data;
|
||||
Index m_rows;
|
||||
public:
|
||||
EIGEN_DEVICE_FUNC DenseStorage() : m_rows(0) {}
|
||||
EIGEN_DEVICE_FUNC explicit DenseStorage(internal::constructor_without_unaligned_array_assert)
|
||||
: m_data(internal::constructor_without_unaligned_array_assert()), m_rows(0) {}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(const DenseStorage& other)
|
||||
: m_data(internal::constructor_without_unaligned_array_assert()), m_rows(other.m_rows)
|
||||
{
|
||||
internal::plain_array_helper::copy(other.m_data, m_rows * _Cols, m_data);
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC DenseStorage& operator=(const DenseStorage& other)
|
||||
{
|
||||
if (this != &other)
|
||||
{
|
||||
m_rows = other.m_rows;
|
||||
internal::plain_array_helper::copy(other.m_data, m_rows * _Cols, m_data);
|
||||
}
|
||||
return *this;
|
||||
}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(Index, Index rows, Index) : m_rows(rows) {}
|
||||
EIGEN_DEVICE_FUNC void swap(DenseStorage& other)
|
||||
{
|
||||
internal::plain_array_helper::swap(m_data, m_rows * _Cols, other.m_data, other.m_rows * _Cols);
|
||||
numext::swap(m_rows, other.m_rows);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC Index rows(void) const EIGEN_NOEXCEPT {return m_rows;}
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index cols(void) const EIGEN_NOEXCEPT {return _Cols;}
|
||||
EIGEN_DEVICE_FUNC void conservativeResize(Index, Index rows, Index) { m_rows = rows; }
|
||||
EIGEN_DEVICE_FUNC void resize(Index, Index rows, Index) { m_rows = rows; }
|
||||
EIGEN_DEVICE_FUNC const T *data() const { return m_data.array; }
|
||||
EIGEN_DEVICE_FUNC T *data() { return m_data.array; }
|
||||
};
|
||||
|
||||
// dynamic-size matrix with fixed-size storage and fixed height
|
||||
template<typename T, int Size, int _Rows, int _Options> class DenseStorage<T, Size, _Rows, Dynamic, _Options>
|
||||
{
|
||||
internal::plain_array<T,Size,_Options> m_data;
|
||||
Index m_cols;
|
||||
public:
|
||||
EIGEN_DEVICE_FUNC DenseStorage() : m_cols(0) {}
|
||||
EIGEN_DEVICE_FUNC explicit DenseStorage(internal::constructor_without_unaligned_array_assert)
|
||||
: m_data(internal::constructor_without_unaligned_array_assert()), m_cols(0) {}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(const DenseStorage& other)
|
||||
: m_data(internal::constructor_without_unaligned_array_assert()), m_cols(other.m_cols)
|
||||
{
|
||||
internal::plain_array_helper::copy(other.m_data, _Rows * m_cols, m_data);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC DenseStorage& operator=(const DenseStorage& other)
|
||||
{
|
||||
if (this != &other)
|
||||
{
|
||||
m_cols = other.m_cols;
|
||||
internal::plain_array_helper::copy(other.m_data, _Rows * m_cols, m_data);
|
||||
}
|
||||
return *this;
|
||||
}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(Index, Index, Index cols) : m_cols(cols) {}
|
||||
EIGEN_DEVICE_FUNC void swap(DenseStorage& other) {
|
||||
internal::plain_array_helper::swap(m_data, _Rows * m_cols, other.m_data, _Rows * other.m_cols);
|
||||
numext::swap(m_cols, other.m_cols);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index rows(void) const EIGEN_NOEXCEPT {return _Rows;}
|
||||
EIGEN_DEVICE_FUNC Index cols(void) const EIGEN_NOEXCEPT {return m_cols;}
|
||||
EIGEN_DEVICE_FUNC void conservativeResize(Index, Index, Index cols) { m_cols = cols; }
|
||||
EIGEN_DEVICE_FUNC void resize(Index, Index, Index cols) { m_cols = cols; }
|
||||
EIGEN_DEVICE_FUNC const T *data() const { return m_data.array; }
|
||||
EIGEN_DEVICE_FUNC T *data() { return m_data.array; }
|
||||
};
|
||||
|
||||
// purely dynamic matrix.
|
||||
template<typename T, int _Options> class DenseStorage<T, Dynamic, Dynamic, Dynamic, _Options>
|
||||
{
|
||||
T *m_data;
|
||||
Index m_rows;
|
||||
Index m_cols;
|
||||
public:
|
||||
EIGEN_DEVICE_FUNC DenseStorage() : m_data(0), m_rows(0), m_cols(0) {}
|
||||
EIGEN_DEVICE_FUNC explicit DenseStorage(internal::constructor_without_unaligned_array_assert)
|
||||
: m_data(0), m_rows(0), m_cols(0) {}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(Index size, Index rows, Index cols)
|
||||
: m_data(internal::conditional_aligned_new_auto<T,(_Options&DontAlign)==0>(size)), m_rows(rows), m_cols(cols)
|
||||
{
|
||||
EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN({})
|
||||
eigen_internal_assert(size==rows*cols && rows>=0 && cols >=0);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(const DenseStorage& other)
|
||||
: m_data(internal::conditional_aligned_new_auto<T,(_Options&DontAlign)==0>(other.m_rows*other.m_cols))
|
||||
, m_rows(other.m_rows)
|
||||
, m_cols(other.m_cols)
|
||||
{
|
||||
EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN(Index size = m_rows*m_cols)
|
||||
internal::smart_copy(other.m_data, other.m_data+other.m_rows*other.m_cols, m_data);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC DenseStorage& operator=(const DenseStorage& other)
|
||||
{
|
||||
if (this != &other)
|
||||
{
|
||||
DenseStorage tmp(other);
|
||||
this->swap(tmp);
|
||||
}
|
||||
return *this;
|
||||
}
|
||||
#if EIGEN_HAS_RVALUE_REFERENCES
|
||||
EIGEN_DEVICE_FUNC
|
||||
DenseStorage(DenseStorage&& other) EIGEN_NOEXCEPT
|
||||
: m_data(std::move(other.m_data))
|
||||
, m_rows(std::move(other.m_rows))
|
||||
, m_cols(std::move(other.m_cols))
|
||||
{
|
||||
other.m_data = nullptr;
|
||||
other.m_rows = 0;
|
||||
other.m_cols = 0;
|
||||
}
|
||||
EIGEN_DEVICE_FUNC
|
||||
DenseStorage& operator=(DenseStorage&& other) EIGEN_NOEXCEPT
|
||||
{
|
||||
numext::swap(m_data, other.m_data);
|
||||
numext::swap(m_rows, other.m_rows);
|
||||
numext::swap(m_cols, other.m_cols);
|
||||
return *this;
|
||||
}
|
||||
#endif
|
||||
EIGEN_DEVICE_FUNC ~DenseStorage() { internal::conditional_aligned_delete_auto<T,(_Options&DontAlign)==0>(m_data, m_rows*m_cols); }
|
||||
EIGEN_DEVICE_FUNC void swap(DenseStorage& other)
|
||||
{
|
||||
numext::swap(m_data,other.m_data);
|
||||
numext::swap(m_rows,other.m_rows);
|
||||
numext::swap(m_cols,other.m_cols);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC Index rows(void) const EIGEN_NOEXCEPT {return m_rows;}
|
||||
EIGEN_DEVICE_FUNC Index cols(void) const EIGEN_NOEXCEPT {return m_cols;}
|
||||
void conservativeResize(Index size, Index rows, Index cols)
|
||||
{
|
||||
m_data = internal::conditional_aligned_realloc_new_auto<T,(_Options&DontAlign)==0>(m_data, size, m_rows*m_cols);
|
||||
m_rows = rows;
|
||||
m_cols = cols;
|
||||
}
|
||||
EIGEN_DEVICE_FUNC void resize(Index size, Index rows, Index cols)
|
||||
{
|
||||
if(size != m_rows*m_cols)
|
||||
{
|
||||
internal::conditional_aligned_delete_auto<T,(_Options&DontAlign)==0>(m_data, m_rows*m_cols);
|
||||
if (size>0) // >0 and not simply !=0 to let the compiler knows that size cannot be negative
|
||||
m_data = internal::conditional_aligned_new_auto<T,(_Options&DontAlign)==0>(size);
|
||||
else
|
||||
m_data = 0;
|
||||
EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN({})
|
||||
}
|
||||
m_rows = rows;
|
||||
m_cols = cols;
|
||||
}
|
||||
EIGEN_DEVICE_FUNC const T *data() const { return m_data; }
|
||||
EIGEN_DEVICE_FUNC T *data() { return m_data; }
|
||||
};
|
||||
|
||||
// matrix with dynamic width and fixed height (so that matrix has dynamic size).
|
||||
template<typename T, int _Rows, int _Options> class DenseStorage<T, Dynamic, _Rows, Dynamic, _Options>
|
||||
{
|
||||
T *m_data;
|
||||
Index m_cols;
|
||||
public:
|
||||
EIGEN_DEVICE_FUNC DenseStorage() : m_data(0), m_cols(0) {}
|
||||
explicit DenseStorage(internal::constructor_without_unaligned_array_assert) : m_data(0), m_cols(0) {}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(Index size, Index rows, Index cols) : m_data(internal::conditional_aligned_new_auto<T,(_Options&DontAlign)==0>(size)), m_cols(cols)
|
||||
{
|
||||
EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN({})
|
||||
eigen_internal_assert(size==rows*cols && rows==_Rows && cols >=0);
|
||||
EIGEN_UNUSED_VARIABLE(rows);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(const DenseStorage& other)
|
||||
: m_data(internal::conditional_aligned_new_auto<T,(_Options&DontAlign)==0>(_Rows*other.m_cols))
|
||||
, m_cols(other.m_cols)
|
||||
{
|
||||
EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN(Index size = m_cols*_Rows)
|
||||
internal::smart_copy(other.m_data, other.m_data+_Rows*m_cols, m_data);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC DenseStorage& operator=(const DenseStorage& other)
|
||||
{
|
||||
if (this != &other)
|
||||
{
|
||||
DenseStorage tmp(other);
|
||||
this->swap(tmp);
|
||||
}
|
||||
return *this;
|
||||
}
|
||||
#if EIGEN_HAS_RVALUE_REFERENCES
|
||||
EIGEN_DEVICE_FUNC
|
||||
DenseStorage(DenseStorage&& other) EIGEN_NOEXCEPT
|
||||
: m_data(std::move(other.m_data))
|
||||
, m_cols(std::move(other.m_cols))
|
||||
{
|
||||
other.m_data = nullptr;
|
||||
other.m_cols = 0;
|
||||
}
|
||||
EIGEN_DEVICE_FUNC
|
||||
DenseStorage& operator=(DenseStorage&& other) EIGEN_NOEXCEPT
|
||||
{
|
||||
numext::swap(m_data, other.m_data);
|
||||
numext::swap(m_cols, other.m_cols);
|
||||
return *this;
|
||||
}
|
||||
#endif
|
||||
EIGEN_DEVICE_FUNC ~DenseStorage() { internal::conditional_aligned_delete_auto<T,(_Options&DontAlign)==0>(m_data, _Rows*m_cols); }
|
||||
EIGEN_DEVICE_FUNC void swap(DenseStorage& other) {
|
||||
numext::swap(m_data,other.m_data);
|
||||
numext::swap(m_cols,other.m_cols);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC static EIGEN_CONSTEXPR Index rows(void) EIGEN_NOEXCEPT {return _Rows;}
|
||||
EIGEN_DEVICE_FUNC Index cols(void) const EIGEN_NOEXCEPT {return m_cols;}
|
||||
EIGEN_DEVICE_FUNC void conservativeResize(Index size, Index, Index cols)
|
||||
{
|
||||
m_data = internal::conditional_aligned_realloc_new_auto<T,(_Options&DontAlign)==0>(m_data, size, _Rows*m_cols);
|
||||
m_cols = cols;
|
||||
}
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void resize(Index size, Index, Index cols)
|
||||
{
|
||||
if(size != _Rows*m_cols)
|
||||
{
|
||||
internal::conditional_aligned_delete_auto<T,(_Options&DontAlign)==0>(m_data, _Rows*m_cols);
|
||||
if (size>0) // >0 and not simply !=0 to let the compiler knows that size cannot be negative
|
||||
m_data = internal::conditional_aligned_new_auto<T,(_Options&DontAlign)==0>(size);
|
||||
else
|
||||
m_data = 0;
|
||||
EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN({})
|
||||
}
|
||||
m_cols = cols;
|
||||
}
|
||||
EIGEN_DEVICE_FUNC const T *data() const { return m_data; }
|
||||
EIGEN_DEVICE_FUNC T *data() { return m_data; }
|
||||
};
|
||||
|
||||
// matrix with dynamic height and fixed width (so that matrix has dynamic size).
|
||||
template<typename T, int _Cols, int _Options> class DenseStorage<T, Dynamic, Dynamic, _Cols, _Options>
|
||||
{
|
||||
T *m_data;
|
||||
Index m_rows;
|
||||
public:
|
||||
EIGEN_DEVICE_FUNC DenseStorage() : m_data(0), m_rows(0) {}
|
||||
explicit DenseStorage(internal::constructor_without_unaligned_array_assert) : m_data(0), m_rows(0) {}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(Index size, Index rows, Index cols) : m_data(internal::conditional_aligned_new_auto<T,(_Options&DontAlign)==0>(size)), m_rows(rows)
|
||||
{
|
||||
EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN({})
|
||||
eigen_internal_assert(size==rows*cols && rows>=0 && cols == _Cols);
|
||||
EIGEN_UNUSED_VARIABLE(cols);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC DenseStorage(const DenseStorage& other)
|
||||
: m_data(internal::conditional_aligned_new_auto<T,(_Options&DontAlign)==0>(other.m_rows*_Cols))
|
||||
, m_rows(other.m_rows)
|
||||
{
|
||||
EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN(Index size = m_rows*_Cols)
|
||||
internal::smart_copy(other.m_data, other.m_data+other.m_rows*_Cols, m_data);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC DenseStorage& operator=(const DenseStorage& other)
|
||||
{
|
||||
if (this != &other)
|
||||
{
|
||||
DenseStorage tmp(other);
|
||||
this->swap(tmp);
|
||||
}
|
||||
return *this;
|
||||
}
|
||||
#if EIGEN_HAS_RVALUE_REFERENCES
|
||||
EIGEN_DEVICE_FUNC
|
||||
DenseStorage(DenseStorage&& other) EIGEN_NOEXCEPT
|
||||
: m_data(std::move(other.m_data))
|
||||
, m_rows(std::move(other.m_rows))
|
||||
{
|
||||
other.m_data = nullptr;
|
||||
other.m_rows = 0;
|
||||
}
|
||||
EIGEN_DEVICE_FUNC
|
||||
DenseStorage& operator=(DenseStorage&& other) EIGEN_NOEXCEPT
|
||||
{
|
||||
numext::swap(m_data, other.m_data);
|
||||
numext::swap(m_rows, other.m_rows);
|
||||
return *this;
|
||||
}
|
||||
#endif
|
||||
EIGEN_DEVICE_FUNC ~DenseStorage() { internal::conditional_aligned_delete_auto<T,(_Options&DontAlign)==0>(m_data, _Cols*m_rows); }
|
||||
EIGEN_DEVICE_FUNC void swap(DenseStorage& other) {
|
||||
numext::swap(m_data,other.m_data);
|
||||
numext::swap(m_rows,other.m_rows);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC Index rows(void) const EIGEN_NOEXCEPT {return m_rows;}
|
||||
EIGEN_DEVICE_FUNC static EIGEN_CONSTEXPR Index cols(void) {return _Cols;}
|
||||
void conservativeResize(Index size, Index rows, Index)
|
||||
{
|
||||
m_data = internal::conditional_aligned_realloc_new_auto<T,(_Options&DontAlign)==0>(m_data, size, m_rows*_Cols);
|
||||
m_rows = rows;
|
||||
}
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void resize(Index size, Index rows, Index)
|
||||
{
|
||||
if(size != m_rows*_Cols)
|
||||
{
|
||||
internal::conditional_aligned_delete_auto<T,(_Options&DontAlign)==0>(m_data, _Cols*m_rows);
|
||||
if (size>0) // >0 and not simply !=0 to let the compiler knows that size cannot be negative
|
||||
m_data = internal::conditional_aligned_new_auto<T,(_Options&DontAlign)==0>(size);
|
||||
else
|
||||
m_data = 0;
|
||||
EIGEN_INTERNAL_DENSE_STORAGE_CTOR_PLUGIN({})
|
||||
}
|
||||
m_rows = rows;
|
||||
}
|
||||
EIGEN_DEVICE_FUNC const T *data() const { return m_data; }
|
||||
EIGEN_DEVICE_FUNC T *data() { return m_data; }
|
||||
};
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_MATRIX_H
|
||||
|
|
@ -0,0 +1,258 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2007-2009 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_DIAGONAL_H
|
||||
#define EIGEN_DIAGONAL_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
/** \class Diagonal
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Expression of a diagonal/subdiagonal/superdiagonal in a matrix
|
||||
*
|
||||
* \param MatrixType the type of the object in which we are taking a sub/main/super diagonal
|
||||
* \param DiagIndex the index of the sub/super diagonal. The default is 0 and it means the main diagonal.
|
||||
* A positive value means a superdiagonal, a negative value means a subdiagonal.
|
||||
* You can also use DynamicIndex so the index can be set at runtime.
|
||||
*
|
||||
* The matrix is not required to be square.
|
||||
*
|
||||
* This class represents an expression of the main diagonal, or any sub/super diagonal
|
||||
* of a square matrix. It is the return type of MatrixBase::diagonal() and MatrixBase::diagonal(Index) and most of the
|
||||
* time this is the only way it is used.
|
||||
*
|
||||
* \sa MatrixBase::diagonal(), MatrixBase::diagonal(Index)
|
||||
*/
|
||||
|
||||
namespace internal {
|
||||
template<typename MatrixType, int DiagIndex>
|
||||
struct traits<Diagonal<MatrixType,DiagIndex> >
|
||||
: traits<MatrixType>
|
||||
{
|
||||
typedef typename ref_selector<MatrixType>::type MatrixTypeNested;
|
||||
typedef typename remove_reference<MatrixTypeNested>::type _MatrixTypeNested;
|
||||
typedef typename MatrixType::StorageKind StorageKind;
|
||||
enum {
|
||||
RowsAtCompileTime = (int(DiagIndex) == DynamicIndex || int(MatrixType::SizeAtCompileTime) == Dynamic) ? Dynamic
|
||||
: (EIGEN_PLAIN_ENUM_MIN(MatrixType::RowsAtCompileTime - EIGEN_PLAIN_ENUM_MAX(-DiagIndex, 0),
|
||||
MatrixType::ColsAtCompileTime - EIGEN_PLAIN_ENUM_MAX( DiagIndex, 0))),
|
||||
ColsAtCompileTime = 1,
|
||||
MaxRowsAtCompileTime = int(MatrixType::MaxSizeAtCompileTime) == Dynamic ? Dynamic
|
||||
: DiagIndex == DynamicIndex ? EIGEN_SIZE_MIN_PREFER_FIXED(MatrixType::MaxRowsAtCompileTime,
|
||||
MatrixType::MaxColsAtCompileTime)
|
||||
: (EIGEN_PLAIN_ENUM_MIN(MatrixType::MaxRowsAtCompileTime - EIGEN_PLAIN_ENUM_MAX(-DiagIndex, 0),
|
||||
MatrixType::MaxColsAtCompileTime - EIGEN_PLAIN_ENUM_MAX( DiagIndex, 0))),
|
||||
MaxColsAtCompileTime = 1,
|
||||
MaskLvalueBit = is_lvalue<MatrixType>::value ? LvalueBit : 0,
|
||||
Flags = (unsigned int)_MatrixTypeNested::Flags & (RowMajorBit | MaskLvalueBit | DirectAccessBit) & ~RowMajorBit, // FIXME DirectAccessBit should not be handled by expressions
|
||||
MatrixTypeOuterStride = outer_stride_at_compile_time<MatrixType>::ret,
|
||||
InnerStrideAtCompileTime = MatrixTypeOuterStride == Dynamic ? Dynamic : MatrixTypeOuterStride+1,
|
||||
OuterStrideAtCompileTime = 0
|
||||
};
|
||||
};
|
||||
}
|
||||
|
||||
template<typename MatrixType, int _DiagIndex> class Diagonal
|
||||
: public internal::dense_xpr_base< Diagonal<MatrixType,_DiagIndex> >::type
|
||||
{
|
||||
public:
|
||||
|
||||
enum { DiagIndex = _DiagIndex };
|
||||
typedef typename internal::dense_xpr_base<Diagonal>::type Base;
|
||||
EIGEN_DENSE_PUBLIC_INTERFACE(Diagonal)
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
explicit inline Diagonal(MatrixType& matrix, Index a_index = DiagIndex) : m_matrix(matrix), m_index(a_index)
|
||||
{
|
||||
eigen_assert( a_index <= m_matrix.cols() && -a_index <= m_matrix.rows() );
|
||||
}
|
||||
|
||||
EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Diagonal)
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline Index rows() const
|
||||
{
|
||||
return m_index.value()<0 ? numext::mini<Index>(m_matrix.cols(),m_matrix.rows()+m_index.value())
|
||||
: numext::mini<Index>(m_matrix.rows(),m_matrix.cols()-m_index.value());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index cols() const EIGEN_NOEXCEPT { return 1; }
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index innerStride() const EIGEN_NOEXCEPT {
|
||||
return m_matrix.outerStride() + 1;
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index outerStride() const EIGEN_NOEXCEPT { return 0; }
|
||||
|
||||
typedef typename internal::conditional<
|
||||
internal::is_lvalue<MatrixType>::value,
|
||||
Scalar,
|
||||
const Scalar
|
||||
>::type ScalarWithConstIfNotLvalue;
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline ScalarWithConstIfNotLvalue* data() { return &(m_matrix.coeffRef(rowOffset(), colOffset())); }
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Scalar* data() const { return &(m_matrix.coeffRef(rowOffset(), colOffset())); }
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline Scalar& coeffRef(Index row, Index)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT_LVALUE(MatrixType)
|
||||
return m_matrix.coeffRef(row+rowOffset(), row+colOffset());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Scalar& coeffRef(Index row, Index) const
|
||||
{
|
||||
return m_matrix.coeffRef(row+rowOffset(), row+colOffset());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline CoeffReturnType coeff(Index row, Index) const
|
||||
{
|
||||
return m_matrix.coeff(row+rowOffset(), row+colOffset());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline Scalar& coeffRef(Index idx)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT_LVALUE(MatrixType)
|
||||
return m_matrix.coeffRef(idx+rowOffset(), idx+colOffset());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Scalar& coeffRef(Index idx) const
|
||||
{
|
||||
return m_matrix.coeffRef(idx+rowOffset(), idx+colOffset());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline CoeffReturnType coeff(Index idx) const
|
||||
{
|
||||
return m_matrix.coeff(idx+rowOffset(), idx+colOffset());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const typename internal::remove_all<typename MatrixType::Nested>::type&
|
||||
nestedExpression() const
|
||||
{
|
||||
return m_matrix;
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline Index index() const
|
||||
{
|
||||
return m_index.value();
|
||||
}
|
||||
|
||||
protected:
|
||||
typename internal::ref_selector<MatrixType>::non_const_type m_matrix;
|
||||
const internal::variable_if_dynamicindex<Index, DiagIndex> m_index;
|
||||
|
||||
private:
|
||||
// some compilers may fail to optimize std::max etc in case of compile-time constants...
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
Index absDiagIndex() const EIGEN_NOEXCEPT { return m_index.value()>0 ? m_index.value() : -m_index.value(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
Index rowOffset() const EIGEN_NOEXCEPT { return m_index.value()>0 ? 0 : -m_index.value(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR
|
||||
Index colOffset() const EIGEN_NOEXCEPT { return m_index.value()>0 ? m_index.value() : 0; }
|
||||
// trigger a compile-time error if someone try to call packet
|
||||
template<int LoadMode> typename MatrixType::PacketReturnType packet(Index) const;
|
||||
template<int LoadMode> typename MatrixType::PacketReturnType packet(Index,Index) const;
|
||||
};
|
||||
|
||||
/** \returns an expression of the main diagonal of the matrix \c *this
|
||||
*
|
||||
* \c *this is not required to be square.
|
||||
*
|
||||
* Example: \include MatrixBase_diagonal.cpp
|
||||
* Output: \verbinclude MatrixBase_diagonal.out
|
||||
*
|
||||
* \sa class Diagonal */
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC inline typename MatrixBase<Derived>::DiagonalReturnType
|
||||
MatrixBase<Derived>::diagonal()
|
||||
{
|
||||
return DiagonalReturnType(derived());
|
||||
}
|
||||
|
||||
/** This is the const version of diagonal(). */
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC inline typename MatrixBase<Derived>::ConstDiagonalReturnType
|
||||
MatrixBase<Derived>::diagonal() const
|
||||
{
|
||||
return ConstDiagonalReturnType(derived());
|
||||
}
|
||||
|
||||
/** \returns an expression of the \a DiagIndex-th sub or super diagonal of the matrix \c *this
|
||||
*
|
||||
* \c *this is not required to be square.
|
||||
*
|
||||
* The template parameter \a DiagIndex represent a super diagonal if \a DiagIndex > 0
|
||||
* and a sub diagonal otherwise. \a DiagIndex == 0 is equivalent to the main diagonal.
|
||||
*
|
||||
* Example: \include MatrixBase_diagonal_int.cpp
|
||||
* Output: \verbinclude MatrixBase_diagonal_int.out
|
||||
*
|
||||
* \sa MatrixBase::diagonal(), class Diagonal */
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC inline typename MatrixBase<Derived>::DiagonalDynamicIndexReturnType
|
||||
MatrixBase<Derived>::diagonal(Index index)
|
||||
{
|
||||
return DiagonalDynamicIndexReturnType(derived(), index);
|
||||
}
|
||||
|
||||
/** This is the const version of diagonal(Index). */
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC inline typename MatrixBase<Derived>::ConstDiagonalDynamicIndexReturnType
|
||||
MatrixBase<Derived>::diagonal(Index index) const
|
||||
{
|
||||
return ConstDiagonalDynamicIndexReturnType(derived(), index);
|
||||
}
|
||||
|
||||
/** \returns an expression of the \a DiagIndex-th sub or super diagonal of the matrix \c *this
|
||||
*
|
||||
* \c *this is not required to be square.
|
||||
*
|
||||
* The template parameter \a DiagIndex represent a super diagonal if \a DiagIndex > 0
|
||||
* and a sub diagonal otherwise. \a DiagIndex == 0 is equivalent to the main diagonal.
|
||||
*
|
||||
* Example: \include MatrixBase_diagonal_template_int.cpp
|
||||
* Output: \verbinclude MatrixBase_diagonal_template_int.out
|
||||
*
|
||||
* \sa MatrixBase::diagonal(), class Diagonal */
|
||||
template<typename Derived>
|
||||
template<int Index_>
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline typename MatrixBase<Derived>::template DiagonalIndexReturnType<Index_>::Type
|
||||
MatrixBase<Derived>::diagonal()
|
||||
{
|
||||
return typename DiagonalIndexReturnType<Index_>::Type(derived());
|
||||
}
|
||||
|
||||
/** This is the const version of diagonal<int>(). */
|
||||
template<typename Derived>
|
||||
template<int Index_>
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline typename MatrixBase<Derived>::template ConstDiagonalIndexReturnType<Index_>::Type
|
||||
MatrixBase<Derived>::diagonal() const
|
||||
{
|
||||
return typename ConstDiagonalIndexReturnType<Index_>::Type(derived());
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_DIAGONAL_H
|
||||
|
|
@ -0,0 +1,391 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2007-2009 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_DIAGONALMATRIX_H
|
||||
#define EIGEN_DIAGONALMATRIX_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
template<typename Derived>
|
||||
class DiagonalBase : public EigenBase<Derived>
|
||||
{
|
||||
public:
|
||||
typedef typename internal::traits<Derived>::DiagonalVectorType DiagonalVectorType;
|
||||
typedef typename DiagonalVectorType::Scalar Scalar;
|
||||
typedef typename DiagonalVectorType::RealScalar RealScalar;
|
||||
typedef typename internal::traits<Derived>::StorageKind StorageKind;
|
||||
typedef typename internal::traits<Derived>::StorageIndex StorageIndex;
|
||||
|
||||
enum {
|
||||
RowsAtCompileTime = DiagonalVectorType::SizeAtCompileTime,
|
||||
ColsAtCompileTime = DiagonalVectorType::SizeAtCompileTime,
|
||||
MaxRowsAtCompileTime = DiagonalVectorType::MaxSizeAtCompileTime,
|
||||
MaxColsAtCompileTime = DiagonalVectorType::MaxSizeAtCompileTime,
|
||||
IsVectorAtCompileTime = 0,
|
||||
Flags = NoPreferredStorageOrderBit
|
||||
};
|
||||
|
||||
typedef Matrix<Scalar, RowsAtCompileTime, ColsAtCompileTime, 0, MaxRowsAtCompileTime, MaxColsAtCompileTime> DenseMatrixType;
|
||||
typedef DenseMatrixType DenseType;
|
||||
typedef DiagonalMatrix<Scalar,DiagonalVectorType::SizeAtCompileTime,DiagonalVectorType::MaxSizeAtCompileTime> PlainObject;
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Derived& derived() const { return *static_cast<const Derived*>(this); }
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline Derived& derived() { return *static_cast<Derived*>(this); }
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
DenseMatrixType toDenseMatrix() const { return derived(); }
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const DiagonalVectorType& diagonal() const { return derived().diagonal(); }
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline DiagonalVectorType& diagonal() { return derived().diagonal(); }
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline Index rows() const { return diagonal().size(); }
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline Index cols() const { return diagonal().size(); }
|
||||
|
||||
template<typename MatrixDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
const Product<Derived,MatrixDerived,LazyProduct>
|
||||
operator*(const MatrixBase<MatrixDerived> &matrix) const
|
||||
{
|
||||
return Product<Derived, MatrixDerived, LazyProduct>(derived(),matrix.derived());
|
||||
}
|
||||
|
||||
typedef DiagonalWrapper<const CwiseUnaryOp<internal::scalar_inverse_op<Scalar>, const DiagonalVectorType> > InverseReturnType;
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const InverseReturnType
|
||||
inverse() const
|
||||
{
|
||||
return InverseReturnType(diagonal().cwiseInverse());
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const DiagonalWrapper<const EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(DiagonalVectorType,Scalar,product) >
|
||||
operator*(const Scalar& scalar) const
|
||||
{
|
||||
return DiagonalWrapper<const EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(DiagonalVectorType,Scalar,product) >(diagonal() * scalar);
|
||||
}
|
||||
EIGEN_DEVICE_FUNC
|
||||
friend inline const DiagonalWrapper<const EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(Scalar,DiagonalVectorType,product) >
|
||||
operator*(const Scalar& scalar, const DiagonalBase& other)
|
||||
{
|
||||
return DiagonalWrapper<const EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(Scalar,DiagonalVectorType,product) >(scalar * other.diagonal());
|
||||
}
|
||||
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
#ifdef EIGEN_PARSED_BY_DOXYGEN
|
||||
inline unspecified_expression_type
|
||||
#else
|
||||
inline const DiagonalWrapper<const EIGEN_CWISE_BINARY_RETURN_TYPE(DiagonalVectorType,typename OtherDerived::DiagonalVectorType,sum) >
|
||||
#endif
|
||||
operator+(const DiagonalBase<OtherDerived>& other) const
|
||||
{
|
||||
return (diagonal() + other.diagonal()).asDiagonal();
|
||||
}
|
||||
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
#ifdef EIGEN_PARSED_BY_DOXYGEN
|
||||
inline unspecified_expression_type
|
||||
#else
|
||||
inline const DiagonalWrapper<const EIGEN_CWISE_BINARY_RETURN_TYPE(DiagonalVectorType,typename OtherDerived::DiagonalVectorType,difference) >
|
||||
#endif
|
||||
operator-(const DiagonalBase<OtherDerived>& other) const
|
||||
{
|
||||
return (diagonal() - other.diagonal()).asDiagonal();
|
||||
}
|
||||
};
|
||||
|
||||
#endif
|
||||
|
||||
/** \class DiagonalMatrix
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Represents a diagonal matrix with its storage
|
||||
*
|
||||
* \param _Scalar the type of coefficients
|
||||
* \param SizeAtCompileTime the dimension of the matrix, or Dynamic
|
||||
* \param MaxSizeAtCompileTime the dimension of the matrix, or Dynamic. This parameter is optional and defaults
|
||||
* to SizeAtCompileTime. Most of the time, you do not need to specify it.
|
||||
*
|
||||
* \sa class DiagonalWrapper
|
||||
*/
|
||||
|
||||
namespace internal {
|
||||
template<typename _Scalar, int SizeAtCompileTime, int MaxSizeAtCompileTime>
|
||||
struct traits<DiagonalMatrix<_Scalar,SizeAtCompileTime,MaxSizeAtCompileTime> >
|
||||
: traits<Matrix<_Scalar,SizeAtCompileTime,SizeAtCompileTime,0,MaxSizeAtCompileTime,MaxSizeAtCompileTime> >
|
||||
{
|
||||
typedef Matrix<_Scalar,SizeAtCompileTime,1,0,MaxSizeAtCompileTime,1> DiagonalVectorType;
|
||||
typedef DiagonalShape StorageKind;
|
||||
enum {
|
||||
Flags = LvalueBit | NoPreferredStorageOrderBit
|
||||
};
|
||||
};
|
||||
}
|
||||
template<typename _Scalar, int SizeAtCompileTime, int MaxSizeAtCompileTime>
|
||||
class DiagonalMatrix
|
||||
: public DiagonalBase<DiagonalMatrix<_Scalar,SizeAtCompileTime,MaxSizeAtCompileTime> >
|
||||
{
|
||||
public:
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
typedef typename internal::traits<DiagonalMatrix>::DiagonalVectorType DiagonalVectorType;
|
||||
typedef const DiagonalMatrix& Nested;
|
||||
typedef _Scalar Scalar;
|
||||
typedef typename internal::traits<DiagonalMatrix>::StorageKind StorageKind;
|
||||
typedef typename internal::traits<DiagonalMatrix>::StorageIndex StorageIndex;
|
||||
#endif
|
||||
|
||||
protected:
|
||||
|
||||
DiagonalVectorType m_diagonal;
|
||||
|
||||
public:
|
||||
|
||||
/** const version of diagonal(). */
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const DiagonalVectorType& diagonal() const { return m_diagonal; }
|
||||
/** \returns a reference to the stored vector of diagonal coefficients. */
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline DiagonalVectorType& diagonal() { return m_diagonal; }
|
||||
|
||||
/** Default constructor without initialization */
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline DiagonalMatrix() {}
|
||||
|
||||
/** Constructs a diagonal matrix with given dimension */
|
||||
EIGEN_DEVICE_FUNC
|
||||
explicit inline DiagonalMatrix(Index dim) : m_diagonal(dim) {}
|
||||
|
||||
/** 2D constructor. */
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline DiagonalMatrix(const Scalar& x, const Scalar& y) : m_diagonal(x,y) {}
|
||||
|
||||
/** 3D constructor. */
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline DiagonalMatrix(const Scalar& x, const Scalar& y, const Scalar& z) : m_diagonal(x,y,z) {}
|
||||
|
||||
#if EIGEN_HAS_CXX11
|
||||
/** \brief Construct a diagonal matrix with fixed size from an arbitrary number of coefficients. \cpp11
|
||||
*
|
||||
* There exists C++98 anologue constructors for fixed-size diagonal matrices having 2 or 3 coefficients.
|
||||
*
|
||||
* \warning To construct a diagonal matrix of fixed size, the number of values passed to this
|
||||
* constructor must match the fixed dimension of \c *this.
|
||||
*
|
||||
* \sa DiagonalMatrix(const Scalar&, const Scalar&)
|
||||
* \sa DiagonalMatrix(const Scalar&, const Scalar&, const Scalar&)
|
||||
*/
|
||||
template <typename... ArgTypes>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
DiagonalMatrix(const Scalar& a0, const Scalar& a1, const Scalar& a2, const ArgTypes&... args)
|
||||
: m_diagonal(a0, a1, a2, args...) {}
|
||||
|
||||
/** \brief Constructs a DiagonalMatrix and initializes it by elements given by an initializer list of initializer
|
||||
* lists \cpp11
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
explicit EIGEN_STRONG_INLINE DiagonalMatrix(const std::initializer_list<std::initializer_list<Scalar>>& list)
|
||||
: m_diagonal(list) {}
|
||||
#endif // EIGEN_HAS_CXX11
|
||||
|
||||
/** Copy constructor. */
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline DiagonalMatrix(const DiagonalBase<OtherDerived>& other) : m_diagonal(other.diagonal()) {}
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
/** copy constructor. prevent a default copy constructor from hiding the other templated constructor */
|
||||
inline DiagonalMatrix(const DiagonalMatrix& other) : m_diagonal(other.diagonal()) {}
|
||||
#endif
|
||||
|
||||
/** generic constructor from expression of the diagonal coefficients */
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
explicit inline DiagonalMatrix(const MatrixBase<OtherDerived>& other) : m_diagonal(other)
|
||||
{}
|
||||
|
||||
/** Copy operator. */
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
DiagonalMatrix& operator=(const DiagonalBase<OtherDerived>& other)
|
||||
{
|
||||
m_diagonal = other.diagonal();
|
||||
return *this;
|
||||
}
|
||||
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
/** This is a special case of the templated operator=. Its purpose is to
|
||||
* prevent a default operator= from hiding the templated operator=.
|
||||
*/
|
||||
EIGEN_DEVICE_FUNC
|
||||
DiagonalMatrix& operator=(const DiagonalMatrix& other)
|
||||
{
|
||||
m_diagonal = other.diagonal();
|
||||
return *this;
|
||||
}
|
||||
#endif
|
||||
|
||||
/** Resizes to given size. */
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline void resize(Index size) { m_diagonal.resize(size); }
|
||||
/** Sets all coefficients to zero. */
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline void setZero() { m_diagonal.setZero(); }
|
||||
/** Resizes and sets all coefficients to zero. */
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline void setZero(Index size) { m_diagonal.setZero(size); }
|
||||
/** Sets this matrix to be the identity matrix of the current size. */
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline void setIdentity() { m_diagonal.setOnes(); }
|
||||
/** Sets this matrix to be the identity matrix of the given size. */
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline void setIdentity(Index size) { m_diagonal.setOnes(size); }
|
||||
};
|
||||
|
||||
/** \class DiagonalWrapper
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Expression of a diagonal matrix
|
||||
*
|
||||
* \param _DiagonalVectorType the type of the vector of diagonal coefficients
|
||||
*
|
||||
* This class is an expression of a diagonal matrix, but not storing its own vector of diagonal coefficients,
|
||||
* instead wrapping an existing vector expression. It is the return type of MatrixBase::asDiagonal()
|
||||
* and most of the time this is the only way that it is used.
|
||||
*
|
||||
* \sa class DiagonalMatrix, class DiagonalBase, MatrixBase::asDiagonal()
|
||||
*/
|
||||
|
||||
namespace internal {
|
||||
template<typename _DiagonalVectorType>
|
||||
struct traits<DiagonalWrapper<_DiagonalVectorType> >
|
||||
{
|
||||
typedef _DiagonalVectorType DiagonalVectorType;
|
||||
typedef typename DiagonalVectorType::Scalar Scalar;
|
||||
typedef typename DiagonalVectorType::StorageIndex StorageIndex;
|
||||
typedef DiagonalShape StorageKind;
|
||||
typedef typename traits<DiagonalVectorType>::XprKind XprKind;
|
||||
enum {
|
||||
RowsAtCompileTime = DiagonalVectorType::SizeAtCompileTime,
|
||||
ColsAtCompileTime = DiagonalVectorType::SizeAtCompileTime,
|
||||
MaxRowsAtCompileTime = DiagonalVectorType::MaxSizeAtCompileTime,
|
||||
MaxColsAtCompileTime = DiagonalVectorType::MaxSizeAtCompileTime,
|
||||
Flags = (traits<DiagonalVectorType>::Flags & LvalueBit) | NoPreferredStorageOrderBit
|
||||
};
|
||||
};
|
||||
}
|
||||
|
||||
template<typename _DiagonalVectorType>
|
||||
class DiagonalWrapper
|
||||
: public DiagonalBase<DiagonalWrapper<_DiagonalVectorType> >, internal::no_assignment_operator
|
||||
{
|
||||
public:
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
typedef _DiagonalVectorType DiagonalVectorType;
|
||||
typedef DiagonalWrapper Nested;
|
||||
#endif
|
||||
|
||||
/** Constructor from expression of diagonal coefficients to wrap. */
|
||||
EIGEN_DEVICE_FUNC
|
||||
explicit inline DiagonalWrapper(DiagonalVectorType& a_diagonal) : m_diagonal(a_diagonal) {}
|
||||
|
||||
/** \returns a const reference to the wrapped expression of diagonal coefficients. */
|
||||
EIGEN_DEVICE_FUNC
|
||||
const DiagonalVectorType& diagonal() const { return m_diagonal; }
|
||||
|
||||
protected:
|
||||
typename DiagonalVectorType::Nested m_diagonal;
|
||||
};
|
||||
|
||||
/** \returns a pseudo-expression of a diagonal matrix with *this as vector of diagonal coefficients
|
||||
*
|
||||
* \only_for_vectors
|
||||
*
|
||||
* Example: \include MatrixBase_asDiagonal.cpp
|
||||
* Output: \verbinclude MatrixBase_asDiagonal.out
|
||||
*
|
||||
* \sa class DiagonalWrapper, class DiagonalMatrix, diagonal(), isDiagonal()
|
||||
**/
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC inline const DiagonalWrapper<const Derived>
|
||||
MatrixBase<Derived>::asDiagonal() const
|
||||
{
|
||||
return DiagonalWrapper<const Derived>(derived());
|
||||
}
|
||||
|
||||
/** \returns true if *this is approximately equal to a diagonal matrix,
|
||||
* within the precision given by \a prec.
|
||||
*
|
||||
* Example: \include MatrixBase_isDiagonal.cpp
|
||||
* Output: \verbinclude MatrixBase_isDiagonal.out
|
||||
*
|
||||
* \sa asDiagonal()
|
||||
*/
|
||||
template<typename Derived>
|
||||
bool MatrixBase<Derived>::isDiagonal(const RealScalar& prec) const
|
||||
{
|
||||
if(cols() != rows()) return false;
|
||||
RealScalar maxAbsOnDiagonal = static_cast<RealScalar>(-1);
|
||||
for(Index j = 0; j < cols(); ++j)
|
||||
{
|
||||
RealScalar absOnDiagonal = numext::abs(coeff(j,j));
|
||||
if(absOnDiagonal > maxAbsOnDiagonal) maxAbsOnDiagonal = absOnDiagonal;
|
||||
}
|
||||
for(Index j = 0; j < cols(); ++j)
|
||||
for(Index i = 0; i < j; ++i)
|
||||
{
|
||||
if(!internal::isMuchSmallerThan(coeff(i, j), maxAbsOnDiagonal, prec)) return false;
|
||||
if(!internal::isMuchSmallerThan(coeff(j, i), maxAbsOnDiagonal, prec)) return false;
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<> struct storage_kind_to_shape<DiagonalShape> { typedef DiagonalShape Shape; };
|
||||
|
||||
struct Diagonal2Dense {};
|
||||
|
||||
template<> struct AssignmentKind<DenseShape,DiagonalShape> { typedef Diagonal2Dense Kind; };
|
||||
|
||||
// Diagonal matrix to Dense assignment
|
||||
template< typename DstXprType, typename SrcXprType, typename Functor>
|
||||
struct Assignment<DstXprType, SrcXprType, Functor, Diagonal2Dense>
|
||||
{
|
||||
static void run(DstXprType &dst, const SrcXprType &src, const internal::assign_op<typename DstXprType::Scalar,typename SrcXprType::Scalar> &/*func*/)
|
||||
{
|
||||
Index dstRows = src.rows();
|
||||
Index dstCols = src.cols();
|
||||
if((dst.rows()!=dstRows) || (dst.cols()!=dstCols))
|
||||
dst.resize(dstRows, dstCols);
|
||||
|
||||
dst.setZero();
|
||||
dst.diagonal() = src.diagonal();
|
||||
}
|
||||
|
||||
static void run(DstXprType &dst, const SrcXprType &src, const internal::add_assign_op<typename DstXprType::Scalar,typename SrcXprType::Scalar> &/*func*/)
|
||||
{ dst.diagonal() += src.diagonal(); }
|
||||
|
||||
static void run(DstXprType &dst, const SrcXprType &src, const internal::sub_assign_op<typename DstXprType::Scalar,typename SrcXprType::Scalar> &/*func*/)
|
||||
{ dst.diagonal() -= src.diagonal(); }
|
||||
};
|
||||
|
||||
} // namespace internal
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_DIAGONALMATRIX_H
|
||||
|
|
@ -0,0 +1,28 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2007-2009 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_DIAGONALPRODUCT_H
|
||||
#define EIGEN_DIAGONALPRODUCT_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
/** \returns the diagonal matrix product of \c *this by the diagonal matrix \a diagonal.
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename DiagonalDerived>
|
||||
EIGEN_DEVICE_FUNC inline const Product<Derived, DiagonalDerived, LazyProduct>
|
||||
MatrixBase<Derived>::operator*(const DiagonalBase<DiagonalDerived> &a_diagonal) const
|
||||
{
|
||||
return Product<Derived, DiagonalDerived, LazyProduct>(derived(),a_diagonal.derived());
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_DIAGONALPRODUCT_H
|
||||
|
|
@ -0,0 +1,318 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2006-2008, 2010 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_DOT_H
|
||||
#define EIGEN_DOT_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal {
|
||||
|
||||
// helper function for dot(). The problem is that if we put that in the body of dot(), then upon calling dot
|
||||
// with mismatched types, the compiler emits errors about failing to instantiate cwiseProduct BEFORE
|
||||
// looking at the static assertions. Thus this is a trick to get better compile errors.
|
||||
template<typename T, typename U,
|
||||
// the NeedToTranspose condition here is taken straight from Assign.h
|
||||
bool NeedToTranspose = T::IsVectorAtCompileTime
|
||||
&& U::IsVectorAtCompileTime
|
||||
&& ((int(T::RowsAtCompileTime) == 1 && int(U::ColsAtCompileTime) == 1)
|
||||
| // FIXME | instead of || to please GCC 4.4.0 stupid warning "suggest parentheses around &&".
|
||||
// revert to || as soon as not needed anymore.
|
||||
(int(T::ColsAtCompileTime) == 1 && int(U::RowsAtCompileTime) == 1))
|
||||
>
|
||||
struct dot_nocheck
|
||||
{
|
||||
typedef scalar_conj_product_op<typename traits<T>::Scalar,typename traits<U>::Scalar> conj_prod;
|
||||
typedef typename conj_prod::result_type ResScalar;
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE
|
||||
static ResScalar run(const MatrixBase<T>& a, const MatrixBase<U>& b)
|
||||
{
|
||||
return a.template binaryExpr<conj_prod>(b).sum();
|
||||
}
|
||||
};
|
||||
|
||||
template<typename T, typename U>
|
||||
struct dot_nocheck<T, U, true>
|
||||
{
|
||||
typedef scalar_conj_product_op<typename traits<T>::Scalar,typename traits<U>::Scalar> conj_prod;
|
||||
typedef typename conj_prod::result_type ResScalar;
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE
|
||||
static ResScalar run(const MatrixBase<T>& a, const MatrixBase<U>& b)
|
||||
{
|
||||
return a.transpose().template binaryExpr<conj_prod>(b).sum();
|
||||
}
|
||||
};
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
/** \fn MatrixBase::dot
|
||||
* \returns the dot product of *this with other.
|
||||
*
|
||||
* \only_for_vectors
|
||||
*
|
||||
* \note If the scalar type is complex numbers, then this function returns the hermitian
|
||||
* (sesquilinear) dot product, conjugate-linear in the first variable and linear in the
|
||||
* second variable.
|
||||
*
|
||||
* \sa squaredNorm(), norm()
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
EIGEN_STRONG_INLINE
|
||||
typename ScalarBinaryOpTraits<typename internal::traits<Derived>::Scalar,typename internal::traits<OtherDerived>::Scalar>::ReturnType
|
||||
MatrixBase<Derived>::dot(const MatrixBase<OtherDerived>& other) const
|
||||
{
|
||||
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
||||
EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
|
||||
EIGEN_STATIC_ASSERT_SAME_VECTOR_SIZE(Derived,OtherDerived)
|
||||
#if !(defined(EIGEN_NO_STATIC_ASSERT) && defined(EIGEN_NO_DEBUG))
|
||||
typedef internal::scalar_conj_product_op<Scalar,typename OtherDerived::Scalar> func;
|
||||
EIGEN_CHECK_BINARY_COMPATIBILIY(func,Scalar,typename OtherDerived::Scalar);
|
||||
#endif
|
||||
|
||||
eigen_assert(size() == other.size());
|
||||
|
||||
return internal::dot_nocheck<Derived,OtherDerived>::run(*this, other);
|
||||
}
|
||||
|
||||
//---------- implementation of L2 norm and related functions ----------
|
||||
|
||||
/** \returns, for vectors, the squared \em l2 norm of \c *this, and for matrices the squared Frobenius norm.
|
||||
* In both cases, it consists in the sum of the square of all the matrix entries.
|
||||
* For vectors, this is also equals to the dot product of \c *this with itself.
|
||||
*
|
||||
* \sa dot(), norm(), lpNorm()
|
||||
*/
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE typename NumTraits<typename internal::traits<Derived>::Scalar>::Real MatrixBase<Derived>::squaredNorm() const
|
||||
{
|
||||
return numext::real((*this).cwiseAbs2().sum());
|
||||
}
|
||||
|
||||
/** \returns, for vectors, the \em l2 norm of \c *this, and for matrices the Frobenius norm.
|
||||
* In both cases, it consists in the square root of the sum of the square of all the matrix entries.
|
||||
* For vectors, this is also equals to the square root of the dot product of \c *this with itself.
|
||||
*
|
||||
* \sa lpNorm(), dot(), squaredNorm()
|
||||
*/
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE typename NumTraits<typename internal::traits<Derived>::Scalar>::Real MatrixBase<Derived>::norm() const
|
||||
{
|
||||
return numext::sqrt(squaredNorm());
|
||||
}
|
||||
|
||||
/** \returns an expression of the quotient of \c *this by its own norm.
|
||||
*
|
||||
* \warning If the input vector is too small (i.e., this->norm()==0),
|
||||
* then this function returns a copy of the input.
|
||||
*
|
||||
* \only_for_vectors
|
||||
*
|
||||
* \sa norm(), normalize()
|
||||
*/
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const typename MatrixBase<Derived>::PlainObject
|
||||
MatrixBase<Derived>::normalized() const
|
||||
{
|
||||
typedef typename internal::nested_eval<Derived,2>::type _Nested;
|
||||
_Nested n(derived());
|
||||
RealScalar z = n.squaredNorm();
|
||||
// NOTE: after extensive benchmarking, this conditional does not impact performance, at least on recent x86 CPU
|
||||
if(z>RealScalar(0))
|
||||
return n / numext::sqrt(z);
|
||||
else
|
||||
return n;
|
||||
}
|
||||
|
||||
/** Normalizes the vector, i.e. divides it by its own norm.
|
||||
*
|
||||
* \only_for_vectors
|
||||
*
|
||||
* \warning If the input vector is too small (i.e., this->norm()==0), then \c *this is left unchanged.
|
||||
*
|
||||
* \sa norm(), normalized()
|
||||
*/
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void MatrixBase<Derived>::normalize()
|
||||
{
|
||||
RealScalar z = squaredNorm();
|
||||
// NOTE: after extensive benchmarking, this conditional does not impact performance, at least on recent x86 CPU
|
||||
if(z>RealScalar(0))
|
||||
derived() /= numext::sqrt(z);
|
||||
}
|
||||
|
||||
/** \returns an expression of the quotient of \c *this by its own norm while avoiding underflow and overflow.
|
||||
*
|
||||
* \only_for_vectors
|
||||
*
|
||||
* This method is analogue to the normalized() method, but it reduces the risk of
|
||||
* underflow and overflow when computing the norm.
|
||||
*
|
||||
* \warning If the input vector is too small (i.e., this->norm()==0),
|
||||
* then this function returns a copy of the input.
|
||||
*
|
||||
* \sa stableNorm(), stableNormalize(), normalized()
|
||||
*/
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const typename MatrixBase<Derived>::PlainObject
|
||||
MatrixBase<Derived>::stableNormalized() const
|
||||
{
|
||||
typedef typename internal::nested_eval<Derived,3>::type _Nested;
|
||||
_Nested n(derived());
|
||||
RealScalar w = n.cwiseAbs().maxCoeff();
|
||||
RealScalar z = (n/w).squaredNorm();
|
||||
if(z>RealScalar(0))
|
||||
return n / (numext::sqrt(z)*w);
|
||||
else
|
||||
return n;
|
||||
}
|
||||
|
||||
/** Normalizes the vector while avoid underflow and overflow
|
||||
*
|
||||
* \only_for_vectors
|
||||
*
|
||||
* This method is analogue to the normalize() method, but it reduces the risk of
|
||||
* underflow and overflow when computing the norm.
|
||||
*
|
||||
* \warning If the input vector is too small (i.e., this->norm()==0), then \c *this is left unchanged.
|
||||
*
|
||||
* \sa stableNorm(), stableNormalized(), normalize()
|
||||
*/
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void MatrixBase<Derived>::stableNormalize()
|
||||
{
|
||||
RealScalar w = cwiseAbs().maxCoeff();
|
||||
RealScalar z = (derived()/w).squaredNorm();
|
||||
if(z>RealScalar(0))
|
||||
derived() /= numext::sqrt(z)*w;
|
||||
}
|
||||
|
||||
//---------- implementation of other norms ----------
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<typename Derived, int p>
|
||||
struct lpNorm_selector
|
||||
{
|
||||
typedef typename NumTraits<typename traits<Derived>::Scalar>::Real RealScalar;
|
||||
EIGEN_DEVICE_FUNC
|
||||
static inline RealScalar run(const MatrixBase<Derived>& m)
|
||||
{
|
||||
EIGEN_USING_STD(pow)
|
||||
return pow(m.cwiseAbs().array().pow(p).sum(), RealScalar(1)/p);
|
||||
}
|
||||
};
|
||||
|
||||
template<typename Derived>
|
||||
struct lpNorm_selector<Derived, 1>
|
||||
{
|
||||
EIGEN_DEVICE_FUNC
|
||||
static inline typename NumTraits<typename traits<Derived>::Scalar>::Real run(const MatrixBase<Derived>& m)
|
||||
{
|
||||
return m.cwiseAbs().sum();
|
||||
}
|
||||
};
|
||||
|
||||
template<typename Derived>
|
||||
struct lpNorm_selector<Derived, 2>
|
||||
{
|
||||
EIGEN_DEVICE_FUNC
|
||||
static inline typename NumTraits<typename traits<Derived>::Scalar>::Real run(const MatrixBase<Derived>& m)
|
||||
{
|
||||
return m.norm();
|
||||
}
|
||||
};
|
||||
|
||||
template<typename Derived>
|
||||
struct lpNorm_selector<Derived, Infinity>
|
||||
{
|
||||
typedef typename NumTraits<typename traits<Derived>::Scalar>::Real RealScalar;
|
||||
EIGEN_DEVICE_FUNC
|
||||
static inline RealScalar run(const MatrixBase<Derived>& m)
|
||||
{
|
||||
if(Derived::SizeAtCompileTime==0 || (Derived::SizeAtCompileTime==Dynamic && m.size()==0))
|
||||
return RealScalar(0);
|
||||
return m.cwiseAbs().maxCoeff();
|
||||
}
|
||||
};
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
/** \returns the \b coefficient-wise \f$ \ell^p \f$ norm of \c *this, that is, returns the p-th root of the sum of the p-th powers of the absolute values
|
||||
* of the coefficients of \c *this. If \a p is the special value \a Eigen::Infinity, this function returns the \f$ \ell^\infty \f$
|
||||
* norm, that is the maximum of the absolute values of the coefficients of \c *this.
|
||||
*
|
||||
* In all cases, if \c *this is empty, then the value 0 is returned.
|
||||
*
|
||||
* \note For matrices, this function does not compute the <a href="https://en.wikipedia.org/wiki/Operator_norm">operator-norm</a>. That is, if \c *this is a matrix, then its coefficients are interpreted as a 1D vector. Nonetheless, you can easily compute the 1-norm and \f$\infty\f$-norm matrix operator norms using \link TutorialReductionsVisitorsBroadcastingReductionsNorm partial reductions \endlink.
|
||||
*
|
||||
* \sa norm()
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<int p>
|
||||
#ifndef EIGEN_PARSED_BY_DOXYGEN
|
||||
EIGEN_DEVICE_FUNC inline typename NumTraits<typename internal::traits<Derived>::Scalar>::Real
|
||||
#else
|
||||
EIGEN_DEVICE_FUNC MatrixBase<Derived>::RealScalar
|
||||
#endif
|
||||
MatrixBase<Derived>::lpNorm() const
|
||||
{
|
||||
return internal::lpNorm_selector<Derived, p>::run(*this);
|
||||
}
|
||||
|
||||
//---------- implementation of isOrthogonal / isUnitary ----------
|
||||
|
||||
/** \returns true if *this is approximately orthogonal to \a other,
|
||||
* within the precision given by \a prec.
|
||||
*
|
||||
* Example: \include MatrixBase_isOrthogonal.cpp
|
||||
* Output: \verbinclude MatrixBase_isOrthogonal.out
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
bool MatrixBase<Derived>::isOrthogonal
|
||||
(const MatrixBase<OtherDerived>& other, const RealScalar& prec) const
|
||||
{
|
||||
typename internal::nested_eval<Derived,2>::type nested(derived());
|
||||
typename internal::nested_eval<OtherDerived,2>::type otherNested(other.derived());
|
||||
return numext::abs2(nested.dot(otherNested)) <= prec * prec * nested.squaredNorm() * otherNested.squaredNorm();
|
||||
}
|
||||
|
||||
/** \returns true if *this is approximately an unitary matrix,
|
||||
* within the precision given by \a prec. In the case where the \a Scalar
|
||||
* type is real numbers, a unitary matrix is an orthogonal matrix, whence the name.
|
||||
*
|
||||
* \note This can be used to check whether a family of vectors forms an orthonormal basis.
|
||||
* Indeed, \c m.isUnitary() returns true if and only if the columns (equivalently, the rows) of m form an
|
||||
* orthonormal basis.
|
||||
*
|
||||
* Example: \include MatrixBase_isUnitary.cpp
|
||||
* Output: \verbinclude MatrixBase_isUnitary.out
|
||||
*/
|
||||
template<typename Derived>
|
||||
bool MatrixBase<Derived>::isUnitary(const RealScalar& prec) const
|
||||
{
|
||||
typename internal::nested_eval<Derived,1>::type self(derived());
|
||||
for(Index i = 0; i < cols(); ++i)
|
||||
{
|
||||
if(!internal::isApprox(self.col(i).squaredNorm(), static_cast<RealScalar>(1), prec))
|
||||
return false;
|
||||
for(Index j = 0; j < i; ++j)
|
||||
if(!internal::isMuchSmallerThan(self.col(i).dot(self.col(j)), static_cast<Scalar>(1), prec))
|
||||
return false;
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_DOT_H
|
||||
|
|
@ -0,0 +1,160 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_EIGENBASE_H
|
||||
#define EIGEN_EIGENBASE_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
/** \class EigenBase
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* Common base class for all classes T such that MatrixBase has an operator=(T) and a constructor MatrixBase(T).
|
||||
*
|
||||
* In other words, an EigenBase object is an object that can be copied into a MatrixBase.
|
||||
*
|
||||
* Besides MatrixBase-derived classes, this also includes special matrix classes such as diagonal matrices, etc.
|
||||
*
|
||||
* Notice that this class is trivial, it is only used to disambiguate overloaded functions.
|
||||
*
|
||||
* \sa \blank \ref TopicClassHierarchy
|
||||
*/
|
||||
template<typename Derived> struct EigenBase
|
||||
{
|
||||
// typedef typename internal::plain_matrix_type<Derived>::type PlainObject;
|
||||
|
||||
/** \brief The interface type of indices
|
||||
* \details To change this, \c \#define the preprocessor symbol \c EIGEN_DEFAULT_DENSE_INDEX_TYPE.
|
||||
* \sa StorageIndex, \ref TopicPreprocessorDirectives.
|
||||
* DEPRECATED: Since Eigen 3.3, its usage is deprecated. Use Eigen::Index instead.
|
||||
* Deprecation is not marked with a doxygen comment because there are too many existing usages to add the deprecation attribute.
|
||||
*/
|
||||
typedef Eigen::Index Index;
|
||||
|
||||
// FIXME is it needed?
|
||||
typedef typename internal::traits<Derived>::StorageKind StorageKind;
|
||||
|
||||
/** \returns a reference to the derived object */
|
||||
EIGEN_DEVICE_FUNC
|
||||
Derived& derived() { return *static_cast<Derived*>(this); }
|
||||
/** \returns a const reference to the derived object */
|
||||
EIGEN_DEVICE_FUNC
|
||||
const Derived& derived() const { return *static_cast<const Derived*>(this); }
|
||||
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline Derived& const_cast_derived() const
|
||||
{ return *static_cast<Derived*>(const_cast<EigenBase*>(this)); }
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline const Derived& const_derived() const
|
||||
{ return *static_cast<const Derived*>(this); }
|
||||
|
||||
/** \returns the number of rows. \sa cols(), RowsAtCompileTime */
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index rows() const EIGEN_NOEXCEPT { return derived().rows(); }
|
||||
/** \returns the number of columns. \sa rows(), ColsAtCompileTime*/
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index cols() const EIGEN_NOEXCEPT { return derived().cols(); }
|
||||
/** \returns the number of coefficients, which is rows()*cols().
|
||||
* \sa rows(), cols(), SizeAtCompileTime. */
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index size() const EIGEN_NOEXCEPT { return rows() * cols(); }
|
||||
|
||||
/** \internal Don't use it, but do the equivalent: \code dst = *this; \endcode */
|
||||
template<typename Dest>
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline void evalTo(Dest& dst) const
|
||||
{ derived().evalTo(dst); }
|
||||
|
||||
/** \internal Don't use it, but do the equivalent: \code dst += *this; \endcode */
|
||||
template<typename Dest>
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline void addTo(Dest& dst) const
|
||||
{
|
||||
// This is the default implementation,
|
||||
// derived class can reimplement it in a more optimized way.
|
||||
typename Dest::PlainObject res(rows(),cols());
|
||||
evalTo(res);
|
||||
dst += res;
|
||||
}
|
||||
|
||||
/** \internal Don't use it, but do the equivalent: \code dst -= *this; \endcode */
|
||||
template<typename Dest>
|
||||
EIGEN_DEVICE_FUNC
|
||||
inline void subTo(Dest& dst) const
|
||||
{
|
||||
// This is the default implementation,
|
||||
// derived class can reimplement it in a more optimized way.
|
||||
typename Dest::PlainObject res(rows(),cols());
|
||||
evalTo(res);
|
||||
dst -= res;
|
||||
}
|
||||
|
||||
/** \internal Don't use it, but do the equivalent: \code dst.applyOnTheRight(*this); \endcode */
|
||||
template<typename Dest>
|
||||
EIGEN_DEVICE_FUNC inline void applyThisOnTheRight(Dest& dst) const
|
||||
{
|
||||
// This is the default implementation,
|
||||
// derived class can reimplement it in a more optimized way.
|
||||
dst = dst * this->derived();
|
||||
}
|
||||
|
||||
/** \internal Don't use it, but do the equivalent: \code dst.applyOnTheLeft(*this); \endcode */
|
||||
template<typename Dest>
|
||||
EIGEN_DEVICE_FUNC inline void applyThisOnTheLeft(Dest& dst) const
|
||||
{
|
||||
// This is the default implementation,
|
||||
// derived class can reimplement it in a more optimized way.
|
||||
dst = this->derived() * dst;
|
||||
}
|
||||
|
||||
};
|
||||
|
||||
/***************************************************************************
|
||||
* Implementation of matrix base methods
|
||||
***************************************************************************/
|
||||
|
||||
/** \brief Copies the generic expression \a other into *this.
|
||||
*
|
||||
* \details The expression must provide a (templated) evalTo(Derived& dst) const
|
||||
* function which does the actual job. In practice, this allows any user to write
|
||||
* its own special matrix without having to modify MatrixBase
|
||||
*
|
||||
* \returns a reference to *this.
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
Derived& DenseBase<Derived>::operator=(const EigenBase<OtherDerived> &other)
|
||||
{
|
||||
call_assignment(derived(), other.derived());
|
||||
return derived();
|
||||
}
|
||||
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
Derived& DenseBase<Derived>::operator+=(const EigenBase<OtherDerived> &other)
|
||||
{
|
||||
call_assignment(derived(), other.derived(), internal::add_assign_op<Scalar,typename OtherDerived::Scalar>());
|
||||
return derived();
|
||||
}
|
||||
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC
|
||||
Derived& DenseBase<Derived>::operator-=(const EigenBase<OtherDerived> &other)
|
||||
{
|
||||
call_assignment(derived(), other.derived(), internal::sub_assign_op<Scalar,typename OtherDerived::Scalar>());
|
||||
return derived();
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_EIGENBASE_H
|
||||
|
|
@ -0,0 +1,150 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_FORCEALIGNEDACCESS_H
|
||||
#define EIGEN_FORCEALIGNEDACCESS_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
/** \class ForceAlignedAccess
|
||||
* \ingroup Core_Module
|
||||
*
|
||||
* \brief Enforce aligned packet loads and stores regardless of what is requested
|
||||
*
|
||||
* \param ExpressionType the type of the object of which we are forcing aligned packet access
|
||||
*
|
||||
* This class is the return type of MatrixBase::forceAlignedAccess()
|
||||
* and most of the time this is the only way it is used.
|
||||
*
|
||||
* \sa MatrixBase::forceAlignedAccess()
|
||||
*/
|
||||
|
||||
namespace internal {
|
||||
template<typename ExpressionType>
|
||||
struct traits<ForceAlignedAccess<ExpressionType> > : public traits<ExpressionType>
|
||||
{};
|
||||
}
|
||||
|
||||
template<typename ExpressionType> class ForceAlignedAccess
|
||||
: public internal::dense_xpr_base< ForceAlignedAccess<ExpressionType> >::type
|
||||
{
|
||||
public:
|
||||
|
||||
typedef typename internal::dense_xpr_base<ForceAlignedAccess>::type Base;
|
||||
EIGEN_DENSE_PUBLIC_INTERFACE(ForceAlignedAccess)
|
||||
|
||||
EIGEN_DEVICE_FUNC explicit inline ForceAlignedAccess(const ExpressionType& matrix) : m_expression(matrix) {}
|
||||
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index rows() const EIGEN_NOEXCEPT { return m_expression.rows(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index cols() const EIGEN_NOEXCEPT { return m_expression.cols(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index outerStride() const EIGEN_NOEXCEPT { return m_expression.outerStride(); }
|
||||
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR
|
||||
inline Index innerStride() const EIGEN_NOEXCEPT { return m_expression.innerStride(); }
|
||||
|
||||
EIGEN_DEVICE_FUNC inline const CoeffReturnType coeff(Index row, Index col) const
|
||||
{
|
||||
return m_expression.coeff(row, col);
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC inline Scalar& coeffRef(Index row, Index col)
|
||||
{
|
||||
return m_expression.const_cast_derived().coeffRef(row, col);
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC inline const CoeffReturnType coeff(Index index) const
|
||||
{
|
||||
return m_expression.coeff(index);
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC inline Scalar& coeffRef(Index index)
|
||||
{
|
||||
return m_expression.const_cast_derived().coeffRef(index);
|
||||
}
|
||||
|
||||
template<int LoadMode>
|
||||
inline const PacketScalar packet(Index row, Index col) const
|
||||
{
|
||||
return m_expression.template packet<Aligned>(row, col);
|
||||
}
|
||||
|
||||
template<int LoadMode>
|
||||
inline void writePacket(Index row, Index col, const PacketScalar& x)
|
||||
{
|
||||
m_expression.const_cast_derived().template writePacket<Aligned>(row, col, x);
|
||||
}
|
||||
|
||||
template<int LoadMode>
|
||||
inline const PacketScalar packet(Index index) const
|
||||
{
|
||||
return m_expression.template packet<Aligned>(index);
|
||||
}
|
||||
|
||||
template<int LoadMode>
|
||||
inline void writePacket(Index index, const PacketScalar& x)
|
||||
{
|
||||
m_expression.const_cast_derived().template writePacket<Aligned>(index, x);
|
||||
}
|
||||
|
||||
EIGEN_DEVICE_FUNC operator const ExpressionType&() const { return m_expression; }
|
||||
|
||||
protected:
|
||||
const ExpressionType& m_expression;
|
||||
|
||||
private:
|
||||
ForceAlignedAccess& operator=(const ForceAlignedAccess&);
|
||||
};
|
||||
|
||||
/** \returns an expression of *this with forced aligned access
|
||||
* \sa forceAlignedAccessIf(),class ForceAlignedAccess
|
||||
*/
|
||||
template<typename Derived>
|
||||
inline const ForceAlignedAccess<Derived>
|
||||
MatrixBase<Derived>::forceAlignedAccess() const
|
||||
{
|
||||
return ForceAlignedAccess<Derived>(derived());
|
||||
}
|
||||
|
||||
/** \returns an expression of *this with forced aligned access
|
||||
* \sa forceAlignedAccessIf(), class ForceAlignedAccess
|
||||
*/
|
||||
template<typename Derived>
|
||||
inline ForceAlignedAccess<Derived>
|
||||
MatrixBase<Derived>::forceAlignedAccess()
|
||||
{
|
||||
return ForceAlignedAccess<Derived>(derived());
|
||||
}
|
||||
|
||||
/** \returns an expression of *this with forced aligned access if \a Enable is true.
|
||||
* \sa forceAlignedAccess(), class ForceAlignedAccess
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<bool Enable>
|
||||
inline typename internal::add_const_on_value_type<typename internal::conditional<Enable,ForceAlignedAccess<Derived>,Derived&>::type>::type
|
||||
MatrixBase<Derived>::forceAlignedAccessIf() const
|
||||
{
|
||||
return derived(); // FIXME This should not work but apparently is never used
|
||||
}
|
||||
|
||||
/** \returns an expression of *this with forced aligned access if \a Enable is true.
|
||||
* \sa forceAlignedAccess(), class ForceAlignedAccess
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<bool Enable>
|
||||
inline typename internal::conditional<Enable,ForceAlignedAccess<Derived>,Derived&>::type
|
||||
MatrixBase<Derived>::forceAlignedAccessIf()
|
||||
{
|
||||
return derived(); // FIXME This should not work but apparently is never used
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_FORCEALIGNEDACCESS_H
|
||||
|
|
@ -0,0 +1,155 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_FUZZY_H
|
||||
#define EIGEN_FUZZY_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
namespace internal
|
||||
{
|
||||
|
||||
template<typename Derived, typename OtherDerived, bool is_integer = NumTraits<typename Derived::Scalar>::IsInteger>
|
||||
struct isApprox_selector
|
||||
{
|
||||
EIGEN_DEVICE_FUNC
|
||||
static bool run(const Derived& x, const OtherDerived& y, const typename Derived::RealScalar& prec)
|
||||
{
|
||||
typename internal::nested_eval<Derived,2>::type nested(x);
|
||||
typename internal::nested_eval<OtherDerived,2>::type otherNested(y);
|
||||
return (nested - otherNested).cwiseAbs2().sum() <= prec * prec * numext::mini(nested.cwiseAbs2().sum(), otherNested.cwiseAbs2().sum());
|
||||
}
|
||||
};
|
||||
|
||||
template<typename Derived, typename OtherDerived>
|
||||
struct isApprox_selector<Derived, OtherDerived, true>
|
||||
{
|
||||
EIGEN_DEVICE_FUNC
|
||||
static bool run(const Derived& x, const OtherDerived& y, const typename Derived::RealScalar&)
|
||||
{
|
||||
return x.matrix() == y.matrix();
|
||||
}
|
||||
};
|
||||
|
||||
template<typename Derived, typename OtherDerived, bool is_integer = NumTraits<typename Derived::Scalar>::IsInteger>
|
||||
struct isMuchSmallerThan_object_selector
|
||||
{
|
||||
EIGEN_DEVICE_FUNC
|
||||
static bool run(const Derived& x, const OtherDerived& y, const typename Derived::RealScalar& prec)
|
||||
{
|
||||
return x.cwiseAbs2().sum() <= numext::abs2(prec) * y.cwiseAbs2().sum();
|
||||
}
|
||||
};
|
||||
|
||||
template<typename Derived, typename OtherDerived>
|
||||
struct isMuchSmallerThan_object_selector<Derived, OtherDerived, true>
|
||||
{
|
||||
EIGEN_DEVICE_FUNC
|
||||
static bool run(const Derived& x, const OtherDerived&, const typename Derived::RealScalar&)
|
||||
{
|
||||
return x.matrix() == Derived::Zero(x.rows(), x.cols()).matrix();
|
||||
}
|
||||
};
|
||||
|
||||
template<typename Derived, bool is_integer = NumTraits<typename Derived::Scalar>::IsInteger>
|
||||
struct isMuchSmallerThan_scalar_selector
|
||||
{
|
||||
EIGEN_DEVICE_FUNC
|
||||
static bool run(const Derived& x, const typename Derived::RealScalar& y, const typename Derived::RealScalar& prec)
|
||||
{
|
||||
return x.cwiseAbs2().sum() <= numext::abs2(prec * y);
|
||||
}
|
||||
};
|
||||
|
||||
template<typename Derived>
|
||||
struct isMuchSmallerThan_scalar_selector<Derived, true>
|
||||
{
|
||||
EIGEN_DEVICE_FUNC
|
||||
static bool run(const Derived& x, const typename Derived::RealScalar&, const typename Derived::RealScalar&)
|
||||
{
|
||||
return x.matrix() == Derived::Zero(x.rows(), x.cols()).matrix();
|
||||
}
|
||||
};
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
|
||||
/** \returns \c true if \c *this is approximately equal to \a other, within the precision
|
||||
* determined by \a prec.
|
||||
*
|
||||
* \note The fuzzy compares are done multiplicatively. Two vectors \f$ v \f$ and \f$ w \f$
|
||||
* are considered to be approximately equal within precision \f$ p \f$ if
|
||||
* \f[ \Vert v - w \Vert \leqslant p\,\min(\Vert v\Vert, \Vert w\Vert). \f]
|
||||
* For matrices, the comparison is done using the Hilbert-Schmidt norm (aka Frobenius norm
|
||||
* L2 norm).
|
||||
*
|
||||
* \note Because of the multiplicativeness of this comparison, one can't use this function
|
||||
* to check whether \c *this is approximately equal to the zero matrix or vector.
|
||||
* Indeed, \c isApprox(zero) returns false unless \c *this itself is exactly the zero matrix
|
||||
* or vector. If you want to test whether \c *this is zero, use internal::isMuchSmallerThan(const
|
||||
* RealScalar&, RealScalar) instead.
|
||||
*
|
||||
* \sa internal::isMuchSmallerThan(const RealScalar&, RealScalar) const
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC bool DenseBase<Derived>::isApprox(
|
||||
const DenseBase<OtherDerived>& other,
|
||||
const RealScalar& prec
|
||||
) const
|
||||
{
|
||||
return internal::isApprox_selector<Derived, OtherDerived>::run(derived(), other.derived(), prec);
|
||||
}
|
||||
|
||||
/** \returns \c true if the norm of \c *this is much smaller than \a other,
|
||||
* within the precision determined by \a prec.
|
||||
*
|
||||
* \note The fuzzy compares are done multiplicatively. A vector \f$ v \f$ is
|
||||
* considered to be much smaller than \f$ x \f$ within precision \f$ p \f$ if
|
||||
* \f[ \Vert v \Vert \leqslant p\,\vert x\vert. \f]
|
||||
*
|
||||
* For matrices, the comparison is done using the Hilbert-Schmidt norm. For this reason,
|
||||
* the value of the reference scalar \a other should come from the Hilbert-Schmidt norm
|
||||
* of a reference matrix of same dimensions.
|
||||
*
|
||||
* \sa isApprox(), isMuchSmallerThan(const DenseBase<OtherDerived>&, RealScalar) const
|
||||
*/
|
||||
template<typename Derived>
|
||||
EIGEN_DEVICE_FUNC bool DenseBase<Derived>::isMuchSmallerThan(
|
||||
const typename NumTraits<Scalar>::Real& other,
|
||||
const RealScalar& prec
|
||||
) const
|
||||
{
|
||||
return internal::isMuchSmallerThan_scalar_selector<Derived>::run(derived(), other, prec);
|
||||
}
|
||||
|
||||
/** \returns \c true if the norm of \c *this is much smaller than the norm of \a other,
|
||||
* within the precision determined by \a prec.
|
||||
*
|
||||
* \note The fuzzy compares are done multiplicatively. A vector \f$ v \f$ is
|
||||
* considered to be much smaller than a vector \f$ w \f$ within precision \f$ p \f$ if
|
||||
* \f[ \Vert v \Vert \leqslant p\,\Vert w\Vert. \f]
|
||||
* For matrices, the comparison is done using the Hilbert-Schmidt norm.
|
||||
*
|
||||
* \sa isApprox(), isMuchSmallerThan(const RealScalar&, RealScalar) const
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC bool DenseBase<Derived>::isMuchSmallerThan(
|
||||
const DenseBase<OtherDerived>& other,
|
||||
const RealScalar& prec
|
||||
) const
|
||||
{
|
||||
return internal::isMuchSmallerThan_object_selector<Derived, OtherDerived>::run(derived(), other.derived(), prec);
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_FUZZY_H
|
||||
|
|
@ -0,0 +1,465 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
// Copyright (C) 2008-2011 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_GENERAL_PRODUCT_H
|
||||
#define EIGEN_GENERAL_PRODUCT_H
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
enum {
|
||||
Large = 2,
|
||||
Small = 3
|
||||
};
|
||||
|
||||
// Define the threshold value to fallback from the generic matrix-matrix product
|
||||
// implementation (heavy) to the lightweight coeff-based product one.
|
||||
// See generic_product_impl<Lhs,Rhs,DenseShape,DenseShape,GemmProduct>
|
||||
// in products/GeneralMatrixMatrix.h for more details.
|
||||
// TODO This threshold should also be used in the compile-time selector below.
|
||||
#ifndef EIGEN_GEMM_TO_COEFFBASED_THRESHOLD
|
||||
// This default value has been obtained on a Haswell architecture.
|
||||
#define EIGEN_GEMM_TO_COEFFBASED_THRESHOLD 20
|
||||
#endif
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<int Rows, int Cols, int Depth> struct product_type_selector;
|
||||
|
||||
template<int Size, int MaxSize> struct product_size_category
|
||||
{
|
||||
enum {
|
||||
#ifndef EIGEN_GPU_COMPILE_PHASE
|
||||
is_large = MaxSize == Dynamic ||
|
||||
Size >= EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD ||
|
||||
(Size==Dynamic && MaxSize>=EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD),
|
||||
#else
|
||||
is_large = 0,
|
||||
#endif
|
||||
value = is_large ? Large
|
||||
: Size == 1 ? 1
|
||||
: Small
|
||||
};
|
||||
};
|
||||
|
||||
template<typename Lhs, typename Rhs> struct product_type
|
||||
{
|
||||
typedef typename remove_all<Lhs>::type _Lhs;
|
||||
typedef typename remove_all<Rhs>::type _Rhs;
|
||||
enum {
|
||||
MaxRows = traits<_Lhs>::MaxRowsAtCompileTime,
|
||||
Rows = traits<_Lhs>::RowsAtCompileTime,
|
||||
MaxCols = traits<_Rhs>::MaxColsAtCompileTime,
|
||||
Cols = traits<_Rhs>::ColsAtCompileTime,
|
||||
MaxDepth = EIGEN_SIZE_MIN_PREFER_FIXED(traits<_Lhs>::MaxColsAtCompileTime,
|
||||
traits<_Rhs>::MaxRowsAtCompileTime),
|
||||
Depth = EIGEN_SIZE_MIN_PREFER_FIXED(traits<_Lhs>::ColsAtCompileTime,
|
||||
traits<_Rhs>::RowsAtCompileTime)
|
||||
};
|
||||
|
||||
// the splitting into different lines of code here, introducing the _select enums and the typedef below,
|
||||
// is to work around an internal compiler error with gcc 4.1 and 4.2.
|
||||
private:
|
||||
enum {
|
||||
rows_select = product_size_category<Rows,MaxRows>::value,
|
||||
cols_select = product_size_category<Cols,MaxCols>::value,
|
||||
depth_select = product_size_category<Depth,MaxDepth>::value
|
||||
};
|
||||
typedef product_type_selector<rows_select, cols_select, depth_select> selector;
|
||||
|
||||
public:
|
||||
enum {
|
||||
value = selector::ret,
|
||||
ret = selector::ret
|
||||
};
|
||||
#ifdef EIGEN_DEBUG_PRODUCT
|
||||
static void debug()
|
||||
{
|
||||
EIGEN_DEBUG_VAR(Rows);
|
||||
EIGEN_DEBUG_VAR(Cols);
|
||||
EIGEN_DEBUG_VAR(Depth);
|
||||
EIGEN_DEBUG_VAR(rows_select);
|
||||
EIGEN_DEBUG_VAR(cols_select);
|
||||
EIGEN_DEBUG_VAR(depth_select);
|
||||
EIGEN_DEBUG_VAR(value);
|
||||
}
|
||||
#endif
|
||||
};
|
||||
|
||||
/* The following allows to select the kind of product at compile time
|
||||
* based on the three dimensions of the product.
|
||||
* This is a compile time mapping from {1,Small,Large}^3 -> {product types} */
|
||||
// FIXME I'm not sure the current mapping is the ideal one.
|
||||
template<int M, int N> struct product_type_selector<M,N,1> { enum { ret = OuterProduct }; };
|
||||
template<int M> struct product_type_selector<M, 1, 1> { enum { ret = LazyCoeffBasedProductMode }; };
|
||||
template<int N> struct product_type_selector<1, N, 1> { enum { ret = LazyCoeffBasedProductMode }; };
|
||||
template<int Depth> struct product_type_selector<1, 1, Depth> { enum { ret = InnerProduct }; };
|
||||
template<> struct product_type_selector<1, 1, 1> { enum { ret = InnerProduct }; };
|
||||
template<> struct product_type_selector<Small,1, Small> { enum { ret = CoeffBasedProductMode }; };
|
||||
template<> struct product_type_selector<1, Small,Small> { enum { ret = CoeffBasedProductMode }; };
|
||||
template<> struct product_type_selector<Small,Small,Small> { enum { ret = CoeffBasedProductMode }; };
|
||||
template<> struct product_type_selector<Small, Small, 1> { enum { ret = LazyCoeffBasedProductMode }; };
|
||||
template<> struct product_type_selector<Small, Large, 1> { enum { ret = LazyCoeffBasedProductMode }; };
|
||||
template<> struct product_type_selector<Large, Small, 1> { enum { ret = LazyCoeffBasedProductMode }; };
|
||||
template<> struct product_type_selector<1, Large,Small> { enum { ret = CoeffBasedProductMode }; };
|
||||
template<> struct product_type_selector<1, Large,Large> { enum { ret = GemvProduct }; };
|
||||
template<> struct product_type_selector<1, Small,Large> { enum { ret = CoeffBasedProductMode }; };
|
||||
template<> struct product_type_selector<Large,1, Small> { enum { ret = CoeffBasedProductMode }; };
|
||||
template<> struct product_type_selector<Large,1, Large> { enum { ret = GemvProduct }; };
|
||||
template<> struct product_type_selector<Small,1, Large> { enum { ret = CoeffBasedProductMode }; };
|
||||
template<> struct product_type_selector<Small,Small,Large> { enum { ret = GemmProduct }; };
|
||||
template<> struct product_type_selector<Large,Small,Large> { enum { ret = GemmProduct }; };
|
||||
template<> struct product_type_selector<Small,Large,Large> { enum { ret = GemmProduct }; };
|
||||
template<> struct product_type_selector<Large,Large,Large> { enum { ret = GemmProduct }; };
|
||||
template<> struct product_type_selector<Large,Small,Small> { enum { ret = CoeffBasedProductMode }; };
|
||||
template<> struct product_type_selector<Small,Large,Small> { enum { ret = CoeffBasedProductMode }; };
|
||||
template<> struct product_type_selector<Large,Large,Small> { enum { ret = GemmProduct }; };
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
/***********************************************************************
|
||||
* Implementation of Inner Vector Vector Product
|
||||
***********************************************************************/
|
||||
|
||||
// FIXME : maybe the "inner product" could return a Scalar
|
||||
// instead of a 1x1 matrix ??
|
||||
// Pro: more natural for the user
|
||||
// Cons: this could be a problem if in a meta unrolled algorithm a matrix-matrix
|
||||
// product ends up to a row-vector times col-vector product... To tackle this use
|
||||
// case, we could have a specialization for Block<MatrixType,1,1> with: operator=(Scalar x);
|
||||
|
||||
/***********************************************************************
|
||||
* Implementation of Outer Vector Vector Product
|
||||
***********************************************************************/
|
||||
|
||||
/***********************************************************************
|
||||
* Implementation of General Matrix Vector Product
|
||||
***********************************************************************/
|
||||
|
||||
/* According to the shape/flags of the matrix we have to distinghish 3 different cases:
|
||||
* 1 - the matrix is col-major, BLAS compatible and M is large => call fast BLAS-like colmajor routine
|
||||
* 2 - the matrix is row-major, BLAS compatible and N is large => call fast BLAS-like rowmajor routine
|
||||
* 3 - all other cases are handled using a simple loop along the outer-storage direction.
|
||||
* Therefore we need a lower level meta selector.
|
||||
* Furthermore, if the matrix is the rhs, then the product has to be transposed.
|
||||
*/
|
||||
namespace internal {
|
||||
|
||||
template<int Side, int StorageOrder, bool BlasCompatible>
|
||||
struct gemv_dense_selector;
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
namespace internal {
|
||||
|
||||
template<typename Scalar,int Size,int MaxSize,bool Cond> struct gemv_static_vector_if;
|
||||
|
||||
template<typename Scalar,int Size,int MaxSize>
|
||||
struct gemv_static_vector_if<Scalar,Size,MaxSize,false>
|
||||
{
|
||||
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Scalar* data() { eigen_internal_assert(false && "should never be called"); return 0; }
|
||||
};
|
||||
|
||||
template<typename Scalar,int Size>
|
||||
struct gemv_static_vector_if<Scalar,Size,Dynamic,true>
|
||||
{
|
||||
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Scalar* data() { return 0; }
|
||||
};
|
||||
|
||||
template<typename Scalar,int Size,int MaxSize>
|
||||
struct gemv_static_vector_if<Scalar,Size,MaxSize,true>
|
||||
{
|
||||
enum {
|
||||
ForceAlignment = internal::packet_traits<Scalar>::Vectorizable,
|
||||
PacketSize = internal::packet_traits<Scalar>::size
|
||||
};
|
||||
#if EIGEN_MAX_STATIC_ALIGN_BYTES!=0
|
||||
internal::plain_array<Scalar,EIGEN_SIZE_MIN_PREFER_FIXED(Size,MaxSize),0,EIGEN_PLAIN_ENUM_MIN(AlignedMax,PacketSize)> m_data;
|
||||
EIGEN_STRONG_INLINE Scalar* data() { return m_data.array; }
|
||||
#else
|
||||
// Some architectures cannot align on the stack,
|
||||
// => let's manually enforce alignment by allocating more data and return the address of the first aligned element.
|
||||
internal::plain_array<Scalar,EIGEN_SIZE_MIN_PREFER_FIXED(Size,MaxSize)+(ForceAlignment?EIGEN_MAX_ALIGN_BYTES:0),0> m_data;
|
||||
EIGEN_STRONG_INLINE Scalar* data() {
|
||||
return ForceAlignment
|
||||
? reinterpret_cast<Scalar*>((internal::UIntPtr(m_data.array) & ~(std::size_t(EIGEN_MAX_ALIGN_BYTES-1))) + EIGEN_MAX_ALIGN_BYTES)
|
||||
: m_data.array;
|
||||
}
|
||||
#endif
|
||||
};
|
||||
|
||||
// The vector is on the left => transposition
|
||||
template<int StorageOrder, bool BlasCompatible>
|
||||
struct gemv_dense_selector<OnTheLeft,StorageOrder,BlasCompatible>
|
||||
{
|
||||
template<typename Lhs, typename Rhs, typename Dest>
|
||||
static void run(const Lhs &lhs, const Rhs &rhs, Dest& dest, const typename Dest::Scalar& alpha)
|
||||
{
|
||||
Transpose<Dest> destT(dest);
|
||||
enum { OtherStorageOrder = StorageOrder == RowMajor ? ColMajor : RowMajor };
|
||||
gemv_dense_selector<OnTheRight,OtherStorageOrder,BlasCompatible>
|
||||
::run(rhs.transpose(), lhs.transpose(), destT, alpha);
|
||||
}
|
||||
};
|
||||
|
||||
template<> struct gemv_dense_selector<OnTheRight,ColMajor,true>
|
||||
{
|
||||
template<typename Lhs, typename Rhs, typename Dest>
|
||||
static inline void run(const Lhs &lhs, const Rhs &rhs, Dest& dest, const typename Dest::Scalar& alpha)
|
||||
{
|
||||
typedef typename Lhs::Scalar LhsScalar;
|
||||
typedef typename Rhs::Scalar RhsScalar;
|
||||
typedef typename Dest::Scalar ResScalar;
|
||||
typedef typename Dest::RealScalar RealScalar;
|
||||
|
||||
typedef internal::blas_traits<Lhs> LhsBlasTraits;
|
||||
typedef typename LhsBlasTraits::DirectLinearAccessType ActualLhsType;
|
||||
typedef internal::blas_traits<Rhs> RhsBlasTraits;
|
||||
typedef typename RhsBlasTraits::DirectLinearAccessType ActualRhsType;
|
||||
|
||||
typedef Map<Matrix<ResScalar,Dynamic,1>, EIGEN_PLAIN_ENUM_MIN(AlignedMax,internal::packet_traits<ResScalar>::size)> MappedDest;
|
||||
|
||||
ActualLhsType actualLhs = LhsBlasTraits::extract(lhs);
|
||||
ActualRhsType actualRhs = RhsBlasTraits::extract(rhs);
|
||||
|
||||
ResScalar actualAlpha = combine_scalar_factors(alpha, lhs, rhs);
|
||||
|
||||
// make sure Dest is a compile-time vector type (bug 1166)
|
||||
typedef typename conditional<Dest::IsVectorAtCompileTime, Dest, typename Dest::ColXpr>::type ActualDest;
|
||||
|
||||
enum {
|
||||
// FIXME find a way to allow an inner stride on the result if packet_traits<Scalar>::size==1
|
||||
// on, the other hand it is good for the cache to pack the vector anyways...
|
||||
EvalToDestAtCompileTime = (ActualDest::InnerStrideAtCompileTime==1),
|
||||
ComplexByReal = (NumTraits<LhsScalar>::IsComplex) && (!NumTraits<RhsScalar>::IsComplex),
|
||||
MightCannotUseDest = ((!EvalToDestAtCompileTime) || ComplexByReal) && (ActualDest::MaxSizeAtCompileTime!=0)
|
||||
};
|
||||
|
||||
typedef const_blas_data_mapper<LhsScalar,Index,ColMajor> LhsMapper;
|
||||
typedef const_blas_data_mapper<RhsScalar,Index,RowMajor> RhsMapper;
|
||||
RhsScalar compatibleAlpha = get_factor<ResScalar,RhsScalar>::run(actualAlpha);
|
||||
|
||||
if(!MightCannotUseDest)
|
||||
{
|
||||
// shortcut if we are sure to be able to use dest directly,
|
||||
// this ease the compiler to generate cleaner and more optimzized code for most common cases
|
||||
general_matrix_vector_product
|
||||
<Index,LhsScalar,LhsMapper,ColMajor,LhsBlasTraits::NeedToConjugate,RhsScalar,RhsMapper,RhsBlasTraits::NeedToConjugate>::run(
|
||||
actualLhs.rows(), actualLhs.cols(),
|
||||
LhsMapper(actualLhs.data(), actualLhs.outerStride()),
|
||||
RhsMapper(actualRhs.data(), actualRhs.innerStride()),
|
||||
dest.data(), 1,
|
||||
compatibleAlpha);
|
||||
}
|
||||
else
|
||||
{
|
||||
gemv_static_vector_if<ResScalar,ActualDest::SizeAtCompileTime,ActualDest::MaxSizeAtCompileTime,MightCannotUseDest> static_dest;
|
||||
|
||||
const bool alphaIsCompatible = (!ComplexByReal) || (numext::imag(actualAlpha)==RealScalar(0));
|
||||
const bool evalToDest = EvalToDestAtCompileTime && alphaIsCompatible;
|
||||
|
||||
ei_declare_aligned_stack_constructed_variable(ResScalar,actualDestPtr,dest.size(),
|
||||
evalToDest ? dest.data() : static_dest.data());
|
||||
|
||||
if(!evalToDest)
|
||||
{
|
||||
#ifdef EIGEN_DENSE_STORAGE_CTOR_PLUGIN
|
||||
Index size = dest.size();
|
||||
EIGEN_DENSE_STORAGE_CTOR_PLUGIN
|
||||
#endif
|
||||
if(!alphaIsCompatible)
|
||||
{
|
||||
MappedDest(actualDestPtr, dest.size()).setZero();
|
||||
compatibleAlpha = RhsScalar(1);
|
||||
}
|
||||
else
|
||||
MappedDest(actualDestPtr, dest.size()) = dest;
|
||||
}
|
||||
|
||||
general_matrix_vector_product
|
||||
<Index,LhsScalar,LhsMapper,ColMajor,LhsBlasTraits::NeedToConjugate,RhsScalar,RhsMapper,RhsBlasTraits::NeedToConjugate>::run(
|
||||
actualLhs.rows(), actualLhs.cols(),
|
||||
LhsMapper(actualLhs.data(), actualLhs.outerStride()),
|
||||
RhsMapper(actualRhs.data(), actualRhs.innerStride()),
|
||||
actualDestPtr, 1,
|
||||
compatibleAlpha);
|
||||
|
||||
if (!evalToDest)
|
||||
{
|
||||
if(!alphaIsCompatible)
|
||||
dest.matrix() += actualAlpha * MappedDest(actualDestPtr, dest.size());
|
||||
else
|
||||
dest = MappedDest(actualDestPtr, dest.size());
|
||||
}
|
||||
}
|
||||
}
|
||||
};
|
||||
|
||||
template<> struct gemv_dense_selector<OnTheRight,RowMajor,true>
|
||||
{
|
||||
template<typename Lhs, typename Rhs, typename Dest>
|
||||
static void run(const Lhs &lhs, const Rhs &rhs, Dest& dest, const typename Dest::Scalar& alpha)
|
||||
{
|
||||
typedef typename Lhs::Scalar LhsScalar;
|
||||
typedef typename Rhs::Scalar RhsScalar;
|
||||
typedef typename Dest::Scalar ResScalar;
|
||||
|
||||
typedef internal::blas_traits<Lhs> LhsBlasTraits;
|
||||
typedef typename LhsBlasTraits::DirectLinearAccessType ActualLhsType;
|
||||
typedef internal::blas_traits<Rhs> RhsBlasTraits;
|
||||
typedef typename RhsBlasTraits::DirectLinearAccessType ActualRhsType;
|
||||
typedef typename internal::remove_all<ActualRhsType>::type ActualRhsTypeCleaned;
|
||||
|
||||
typename add_const<ActualLhsType>::type actualLhs = LhsBlasTraits::extract(lhs);
|
||||
typename add_const<ActualRhsType>::type actualRhs = RhsBlasTraits::extract(rhs);
|
||||
|
||||
ResScalar actualAlpha = combine_scalar_factors(alpha, lhs, rhs);
|
||||
|
||||
enum {
|
||||
// FIXME find a way to allow an inner stride on the result if packet_traits<Scalar>::size==1
|
||||
// on, the other hand it is good for the cache to pack the vector anyways...
|
||||
DirectlyUseRhs = ActualRhsTypeCleaned::InnerStrideAtCompileTime==1 || ActualRhsTypeCleaned::MaxSizeAtCompileTime==0
|
||||
};
|
||||
|
||||
gemv_static_vector_if<RhsScalar,ActualRhsTypeCleaned::SizeAtCompileTime,ActualRhsTypeCleaned::MaxSizeAtCompileTime,!DirectlyUseRhs> static_rhs;
|
||||
|
||||
ei_declare_aligned_stack_constructed_variable(RhsScalar,actualRhsPtr,actualRhs.size(),
|
||||
DirectlyUseRhs ? const_cast<RhsScalar*>(actualRhs.data()) : static_rhs.data());
|
||||
|
||||
if(!DirectlyUseRhs)
|
||||
{
|
||||
#ifdef EIGEN_DENSE_STORAGE_CTOR_PLUGIN
|
||||
Index size = actualRhs.size();
|
||||
EIGEN_DENSE_STORAGE_CTOR_PLUGIN
|
||||
#endif
|
||||
Map<typename ActualRhsTypeCleaned::PlainObject>(actualRhsPtr, actualRhs.size()) = actualRhs;
|
||||
}
|
||||
|
||||
typedef const_blas_data_mapper<LhsScalar,Index,RowMajor> LhsMapper;
|
||||
typedef const_blas_data_mapper<RhsScalar,Index,ColMajor> RhsMapper;
|
||||
general_matrix_vector_product
|
||||
<Index,LhsScalar,LhsMapper,RowMajor,LhsBlasTraits::NeedToConjugate,RhsScalar,RhsMapper,RhsBlasTraits::NeedToConjugate>::run(
|
||||
actualLhs.rows(), actualLhs.cols(),
|
||||
LhsMapper(actualLhs.data(), actualLhs.outerStride()),
|
||||
RhsMapper(actualRhsPtr, 1),
|
||||
dest.data(), dest.col(0).innerStride(), //NOTE if dest is not a vector at compile-time, then dest.innerStride() might be wrong. (bug 1166)
|
||||
actualAlpha);
|
||||
}
|
||||
};
|
||||
|
||||
template<> struct gemv_dense_selector<OnTheRight,ColMajor,false>
|
||||
{
|
||||
template<typename Lhs, typename Rhs, typename Dest>
|
||||
static void run(const Lhs &lhs, const Rhs &rhs, Dest& dest, const typename Dest::Scalar& alpha)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT((!nested_eval<Lhs,1>::Evaluate),EIGEN_INTERNAL_COMPILATION_ERROR_OR_YOU_MADE_A_PROGRAMMING_MISTAKE);
|
||||
// TODO if rhs is large enough it might be beneficial to make sure that dest is sequentially stored in memory, otherwise use a temp
|
||||
typename nested_eval<Rhs,1>::type actual_rhs(rhs);
|
||||
const Index size = rhs.rows();
|
||||
for(Index k=0; k<size; ++k)
|
||||
dest += (alpha*actual_rhs.coeff(k)) * lhs.col(k);
|
||||
}
|
||||
};
|
||||
|
||||
template<> struct gemv_dense_selector<OnTheRight,RowMajor,false>
|
||||
{
|
||||
template<typename Lhs, typename Rhs, typename Dest>
|
||||
static void run(const Lhs &lhs, const Rhs &rhs, Dest& dest, const typename Dest::Scalar& alpha)
|
||||
{
|
||||
EIGEN_STATIC_ASSERT((!nested_eval<Lhs,1>::Evaluate),EIGEN_INTERNAL_COMPILATION_ERROR_OR_YOU_MADE_A_PROGRAMMING_MISTAKE);
|
||||
typename nested_eval<Rhs,Lhs::RowsAtCompileTime>::type actual_rhs(rhs);
|
||||
const Index rows = dest.rows();
|
||||
for(Index i=0; i<rows; ++i)
|
||||
dest.coeffRef(i) += alpha * (lhs.row(i).cwiseProduct(actual_rhs.transpose())).sum();
|
||||
}
|
||||
};
|
||||
|
||||
} // end namespace internal
|
||||
|
||||
/***************************************************************************
|
||||
* Implementation of matrix base methods
|
||||
***************************************************************************/
|
||||
|
||||
/** \returns the matrix product of \c *this and \a other.
|
||||
*
|
||||
* \note If instead of the matrix product you want the coefficient-wise product, see Cwise::operator*().
|
||||
*
|
||||
* \sa lazyProduct(), operator*=(const MatrixBase&), Cwise::operator*()
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
const Product<Derived, OtherDerived>
|
||||
MatrixBase<Derived>::operator*(const MatrixBase<OtherDerived> &other) const
|
||||
{
|
||||
// A note regarding the function declaration: In MSVC, this function will sometimes
|
||||
// not be inlined since DenseStorage is an unwindable object for dynamic
|
||||
// matrices and product types are holding a member to store the result.
|
||||
// Thus it does not help tagging this function with EIGEN_STRONG_INLINE.
|
||||
enum {
|
||||
ProductIsValid = Derived::ColsAtCompileTime==Dynamic
|
||||
|| OtherDerived::RowsAtCompileTime==Dynamic
|
||||
|| int(Derived::ColsAtCompileTime)==int(OtherDerived::RowsAtCompileTime),
|
||||
AreVectors = Derived::IsVectorAtCompileTime && OtherDerived::IsVectorAtCompileTime,
|
||||
SameSizes = EIGEN_PREDICATE_SAME_MATRIX_SIZE(Derived,OtherDerived)
|
||||
};
|
||||
// note to the lost user:
|
||||
// * for a dot product use: v1.dot(v2)
|
||||
// * for a coeff-wise product use: v1.cwiseProduct(v2)
|
||||
EIGEN_STATIC_ASSERT(ProductIsValid || !(AreVectors && SameSizes),
|
||||
INVALID_VECTOR_VECTOR_PRODUCT__IF_YOU_WANTED_A_DOT_OR_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTIONS)
|
||||
EIGEN_STATIC_ASSERT(ProductIsValid || !(SameSizes && !AreVectors),
|
||||
INVALID_MATRIX_PRODUCT__IF_YOU_WANTED_A_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTION)
|
||||
EIGEN_STATIC_ASSERT(ProductIsValid || SameSizes, INVALID_MATRIX_PRODUCT)
|
||||
#ifdef EIGEN_DEBUG_PRODUCT
|
||||
internal::product_type<Derived,OtherDerived>::debug();
|
||||
#endif
|
||||
|
||||
return Product<Derived, OtherDerived>(derived(), other.derived());
|
||||
}
|
||||
|
||||
/** \returns an expression of the matrix product of \c *this and \a other without implicit evaluation.
|
||||
*
|
||||
* The returned product will behave like any other expressions: the coefficients of the product will be
|
||||
* computed once at a time as requested. This might be useful in some extremely rare cases when only
|
||||
* a small and no coherent fraction of the result's coefficients have to be computed.
|
||||
*
|
||||
* \warning This version of the matrix product can be much much slower. So use it only if you know
|
||||
* what you are doing and that you measured a true speed improvement.
|
||||
*
|
||||
* \sa operator*(const MatrixBase&)
|
||||
*/
|
||||
template<typename Derived>
|
||||
template<typename OtherDerived>
|
||||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||||
const Product<Derived,OtherDerived,LazyProduct>
|
||||
MatrixBase<Derived>::lazyProduct(const MatrixBase<OtherDerived> &other) const
|
||||
{
|
||||
enum {
|
||||
ProductIsValid = Derived::ColsAtCompileTime==Dynamic
|
||||
|| OtherDerived::RowsAtCompileTime==Dynamic
|
||||
|| int(Derived::ColsAtCompileTime)==int(OtherDerived::RowsAtCompileTime),
|
||||
AreVectors = Derived::IsVectorAtCompileTime && OtherDerived::IsVectorAtCompileTime,
|
||||
SameSizes = EIGEN_PREDICATE_SAME_MATRIX_SIZE(Derived,OtherDerived)
|
||||
};
|
||||
// note to the lost user:
|
||||
// * for a dot product use: v1.dot(v2)
|
||||
// * for a coeff-wise product use: v1.cwiseProduct(v2)
|
||||
EIGEN_STATIC_ASSERT(ProductIsValid || !(AreVectors && SameSizes),
|
||||
INVALID_VECTOR_VECTOR_PRODUCT__IF_YOU_WANTED_A_DOT_OR_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTIONS)
|
||||
EIGEN_STATIC_ASSERT(ProductIsValid || !(SameSizes && !AreVectors),
|
||||
INVALID_MATRIX_PRODUCT__IF_YOU_WANTED_A_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTION)
|
||||
EIGEN_STATIC_ASSERT(ProductIsValid || SameSizes, INVALID_MATRIX_PRODUCT)
|
||||
|
||||
return Product<Derived,OtherDerived,LazyProduct>(derived(), other.derived());
|
||||
}
|
||||
|
||||
} // end namespace Eigen
|
||||
|
||||
#endif // EIGEN_PRODUCT_H
|
||||
File diff suppressed because it is too large
Load Diff
|
|
@ -0,0 +1,194 @@
|
|||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra.
|
||||
//
|
||||
// Copyright (C) 2010-2016 Gael Guennebaud <gael.guennebaud@inria.fr>
|
||||
// Copyright (C) 2010 Benoit Jacob <jacob.benoit.1@gmail.com>
|
||||
//
|
||||
// This Source Code Form is subject to the terms of the Mozilla
|
||||
// Public License v. 2.0. If a copy of the MPL was not distributed
|
||||
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
#ifndef EIGEN_GLOBAL_FUNCTIONS_H
|
||||
#define EIGEN_GLOBAL_FUNCTIONS_H
|
||||
|
||||
#ifdef EIGEN_PARSED_BY_DOXYGEN
|
||||
|
||||
#define EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(NAME,FUNCTOR,DOC_OP,DOC_DETAILS) \
|
||||
/** \returns an expression of the coefficient-wise DOC_OP of \a x
|
||||
|
||||
DOC_DETAILS
|
||||
|
||||
\sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_##NAME">Math functions</a>, class CwiseUnaryOp
|
||||
*/ \
|
||||
template<typename Derived> \
|
||||
inline const Eigen::CwiseUnaryOp<Eigen::internal::FUNCTOR<typename Derived::Scalar>, const Derived> \
|
||||
NAME(const Eigen::ArrayBase<Derived>& x);
|
||||
|
||||
#else
|
||||
|
||||
#define EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(NAME,FUNCTOR,DOC_OP,DOC_DETAILS) \
|
||||
template<typename Derived> \
|
||||
inline const Eigen::CwiseUnaryOp<Eigen::internal::FUNCTOR<typename Derived::Scalar>, const Derived> \
|
||||
(NAME)(const Eigen::ArrayBase<Derived>& x) { \
|
||||
return Eigen::CwiseUnaryOp<Eigen::internal::FUNCTOR<typename Derived::Scalar>, const Derived>(x.derived()); \
|
||||
}
|
||||
|
||||
#endif // EIGEN_PARSED_BY_DOXYGEN
|
||||
|
||||
#define EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(NAME,FUNCTOR) \
|
||||
\
|
||||
template<typename Derived> \
|
||||
struct NAME##_retval<ArrayBase<Derived> > \
|
||||
{ \
|
||||
typedef const Eigen::CwiseUnaryOp<Eigen::internal::FUNCTOR<typename Derived::Scalar>, const Derived> type; \
|
||||
}; \
|
||||
template<typename Derived> \
|
||||
struct NAME##_impl<ArrayBase<Derived> > \
|
||||
{ \
|
||||
static inline typename NAME##_retval<ArrayBase<Derived> >::type run(const Eigen::ArrayBase<Derived>& x) \
|
||||
{ \
|
||||
return typename NAME##_retval<ArrayBase<Derived> >::type(x.derived()); \
|
||||
} \
|
||||
};
|
||||
|
||||
namespace Eigen
|
||||
{
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(real,scalar_real_op,real part,\sa ArrayBase::real)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(imag,scalar_imag_op,imaginary part,\sa ArrayBase::imag)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(conj,scalar_conjugate_op,complex conjugate,\sa ArrayBase::conjugate)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(inverse,scalar_inverse_op,inverse,\sa ArrayBase::inverse)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(sin,scalar_sin_op,sine,\sa ArrayBase::sin)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(cos,scalar_cos_op,cosine,\sa ArrayBase::cos)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(tan,scalar_tan_op,tangent,\sa ArrayBase::tan)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(atan,scalar_atan_op,arc-tangent,\sa ArrayBase::atan)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(asin,scalar_asin_op,arc-sine,\sa ArrayBase::asin)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(acos,scalar_acos_op,arc-consine,\sa ArrayBase::acos)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(sinh,scalar_sinh_op,hyperbolic sine,\sa ArrayBase::sinh)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(cosh,scalar_cosh_op,hyperbolic cosine,\sa ArrayBase::cosh)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(tanh,scalar_tanh_op,hyperbolic tangent,\sa ArrayBase::tanh)
|
||||
#if EIGEN_HAS_CXX11_MATH
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(asinh,scalar_asinh_op,inverse hyperbolic sine,\sa ArrayBase::asinh)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(acosh,scalar_acosh_op,inverse hyperbolic cosine,\sa ArrayBase::acosh)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(atanh,scalar_atanh_op,inverse hyperbolic tangent,\sa ArrayBase::atanh)
|
||||
#endif
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(logistic,scalar_logistic_op,logistic function,\sa ArrayBase::logistic)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(lgamma,scalar_lgamma_op,natural logarithm of the gamma function,\sa ArrayBase::lgamma)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(digamma,scalar_digamma_op,derivative of lgamma,\sa ArrayBase::digamma)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(erf,scalar_erf_op,error function,\sa ArrayBase::erf)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(erfc,scalar_erfc_op,complement error function,\sa ArrayBase::erfc)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(ndtri,scalar_ndtri_op,inverse normal distribution function,\sa ArrayBase::ndtri)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(exp,scalar_exp_op,exponential,\sa ArrayBase::exp)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(expm1,scalar_expm1_op,exponential of a value minus 1,\sa ArrayBase::expm1)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(log,scalar_log_op,natural logarithm,\sa Eigen::log10 DOXCOMMA ArrayBase::log)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(log1p,scalar_log1p_op,natural logarithm of 1 plus the value,\sa ArrayBase::log1p)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(log10,scalar_log10_op,base 10 logarithm,\sa Eigen::log DOXCOMMA ArrayBase::log10)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(log2,scalar_log2_op,base 2 logarithm,\sa Eigen::log DOXCOMMA ArrayBase::log2)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(abs,scalar_abs_op,absolute value,\sa ArrayBase::abs DOXCOMMA MatrixBase::cwiseAbs)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(abs2,scalar_abs2_op,squared absolute value,\sa ArrayBase::abs2 DOXCOMMA MatrixBase::cwiseAbs2)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(arg,scalar_arg_op,complex argument,\sa ArrayBase::arg DOXCOMMA MatrixBase::cwiseArg)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(sqrt,scalar_sqrt_op,square root,\sa ArrayBase::sqrt DOXCOMMA MatrixBase::cwiseSqrt)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(rsqrt,scalar_rsqrt_op,reciprocal square root,\sa ArrayBase::rsqrt)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(square,scalar_square_op,square (power 2),\sa Eigen::abs2 DOXCOMMA Eigen::pow DOXCOMMA ArrayBase::square)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(cube,scalar_cube_op,cube (power 3),\sa Eigen::pow DOXCOMMA ArrayBase::cube)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(rint,scalar_rint_op,nearest integer,\sa Eigen::floor DOXCOMMA Eigen::ceil DOXCOMMA ArrayBase::round)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(round,scalar_round_op,nearest integer,\sa Eigen::floor DOXCOMMA Eigen::ceil DOXCOMMA ArrayBase::round)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(floor,scalar_floor_op,nearest integer not greater than the giben value,\sa Eigen::ceil DOXCOMMA ArrayBase::floor)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(ceil,scalar_ceil_op,nearest integer not less than the giben value,\sa Eigen::floor DOXCOMMA ArrayBase::ceil)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(isnan,scalar_isnan_op,not-a-number test,\sa Eigen::isinf DOXCOMMA Eigen::isfinite DOXCOMMA ArrayBase::isnan)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(isinf,scalar_isinf_op,infinite value test,\sa Eigen::isnan DOXCOMMA Eigen::isfinite DOXCOMMA ArrayBase::isinf)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(isfinite,scalar_isfinite_op,finite value test,\sa Eigen::isinf DOXCOMMA Eigen::isnan DOXCOMMA ArrayBase::isfinite)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(sign,scalar_sign_op,sign (or 0),\sa ArrayBase::sign)
|
||||
|
||||
/** \returns an expression of the coefficient-wise power of \a x to the given constant \a exponent.
|
||||
*
|
||||
* \tparam ScalarExponent is the scalar type of \a exponent. It must be compatible with the scalar type of the given expression (\c Derived::Scalar).
|
||||
*
|
||||
* \sa ArrayBase::pow()
|
||||
*
|
||||
* \relates ArrayBase
|
||||
*/
|
||||
#ifdef EIGEN_PARSED_BY_DOXYGEN
|
||||
template<typename Derived,typename ScalarExponent>
|
||||
inline const CwiseBinaryOp<internal::scalar_pow_op<Derived::Scalar,ScalarExponent>,Derived,Constant<ScalarExponent> >
|
||||
pow(const Eigen::ArrayBase<Derived>& x, const ScalarExponent& exponent);
|
||||
#else
|
||||
template <typename Derived,typename ScalarExponent>
|
||||
EIGEN_DEVICE_FUNC inline
|
||||
EIGEN_MSVC10_WORKAROUND_BINARYOP_RETURN_TYPE(
|
||||
const EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(Derived,typename internal::promote_scalar_arg<typename Derived::Scalar
|
||||
EIGEN_COMMA ScalarExponent EIGEN_COMMA
|
||||
EIGEN_SCALAR_BINARY_SUPPORTED(pow,typename Derived::Scalar,ScalarExponent)>::type,pow))
|
||||
pow(const Eigen::ArrayBase<Derived>& x, const ScalarExponent& exponent)
|
||||
{
|
||||
typedef typename internal::promote_scalar_arg<typename Derived::Scalar,ScalarExponent,
|
||||
EIGEN_SCALAR_BINARY_SUPPORTED(pow,typename Derived::Scalar,ScalarExponent)>::type PromotedExponent;
|
||||
return EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(Derived,PromotedExponent,pow)(x.derived(),
|
||||
typename internal::plain_constant_type<Derived,PromotedExponent>::type(x.derived().rows(), x.derived().cols(), internal::scalar_constant_op<PromotedExponent>(exponent)));
|
||||
}
|
||||
#endif
|
||||
|
||||
/** \returns an expression of the coefficient-wise power of \a x to the given array of \a exponents.
|
||||
*
|
||||
* This function computes the coefficient-wise power.
|
||||
*
|
||||
* Example: \include Cwise_array_power_array.cpp
|
||||
* Output: \verbinclude Cwise_array_power_array.out
|
||||
*
|
||||
* \sa ArrayBase::pow()
|
||||
*
|
||||
* \relates ArrayBase
|
||||
*/
|
||||
template<typename Derived,typename ExponentDerived>
|
||||
inline const Eigen::CwiseBinaryOp<Eigen::internal::scalar_pow_op<typename Derived::Scalar, typename ExponentDerived::Scalar>, const Derived, const ExponentDerived>
|
||||
pow(const Eigen::ArrayBase<Derived>& x, const Eigen::ArrayBase<ExponentDerived>& exponents)
|
||||
{
|
||||
return Eigen::CwiseBinaryOp<Eigen::internal::scalar_pow_op<typename Derived::Scalar, typename ExponentDerived::Scalar>, const Derived, const ExponentDerived>(
|
||||
x.derived(),
|
||||
exponents.derived()
|
||||
);
|
||||
}
|
||||
|
||||
/** \returns an expression of the coefficient-wise power of the scalar \a x to the given array of \a exponents.
|
||||
*
|
||||
* This function computes the coefficient-wise power between a scalar and an array of exponents.
|
||||
*
|
||||
* \tparam Scalar is the scalar type of \a x. It must be compatible with the scalar type of the given array expression (\c Derived::Scalar).
|
||||
*
|
||||
* Example: \include Cwise_scalar_power_array.cpp
|
||||
* Output: \verbinclude Cwise_scalar_power_array.out
|
||||
*
|
||||
* \sa ArrayBase::pow()
|
||||
*
|
||||
* \relates ArrayBase
|
||||
*/
|
||||
#ifdef EIGEN_PARSED_BY_DOXYGEN
|
||||
template<typename Scalar,typename Derived>
|
||||
inline const CwiseBinaryOp<internal::scalar_pow_op<Scalar,Derived::Scalar>,Constant<Scalar>,Derived>
|
||||
pow(const Scalar& x,const Eigen::ArrayBase<Derived>& x);
|
||||
#else
|
||||
template <typename Scalar, typename Derived>
|
||||
EIGEN_DEVICE_FUNC inline
|
||||
EIGEN_MSVC10_WORKAROUND_BINARYOP_RETURN_TYPE(
|
||||
const EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(typename internal::promote_scalar_arg<typename Derived::Scalar
|
||||
EIGEN_COMMA Scalar EIGEN_COMMA
|
||||
EIGEN_SCALAR_BINARY_SUPPORTED(pow,Scalar,typename Derived::Scalar)>::type,Derived,pow))
|
||||
pow(const Scalar& x, const Eigen::ArrayBase<Derived>& exponents) {
|
||||
typedef typename internal::promote_scalar_arg<typename Derived::Scalar,Scalar,
|
||||
EIGEN_SCALAR_BINARY_SUPPORTED(pow,Scalar,typename Derived::Scalar)>::type PromotedScalar;
|
||||
return EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(PromotedScalar,Derived,pow)(
|
||||
typename internal::plain_constant_type<Derived,PromotedScalar>::type(exponents.derived().rows(), exponents.derived().cols(), internal::scalar_constant_op<PromotedScalar>(x)), exponents.derived());
|
||||
}
|
||||
#endif
|
||||
|
||||
|
||||
namespace internal
|
||||
{
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(real,scalar_real_op)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(imag,scalar_imag_op)
|
||||
EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(abs2,scalar_abs2_op)
|
||||
}
|
||||
}
|
||||
|
||||
// TODO: cleanly disable those functions that are not supported on Array (numext::real_ref, internal::random, internal::isApprox...)
|
||||
|
||||
#endif // EIGEN_GLOBAL_FUNCTIONS_H
|
||||
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Reference in New Issue