From c598d552d7b971464851a59e1c5619acf20be529 Mon Sep 17 00:00:00 2001 From: bbod Date: Wed, 15 Apr 2020 15:36:26 -0600 Subject: [PATCH] Finished --- FinalProject/100X100_Matrix.txt | 203 ++++++++++++++++ FinalProject/CMakeLists.txt | 7 +- FinalProject/Matrix.txt | 11 +- FinalProject/a.out | Bin 105328 -> 117456 bytes .../CMakeFiles/HW10.dir/CXX.includecache | 14 +- .../CMakeFiles/HW10.dir/DependInfo.cmake | 1 - .../CMakeFiles/HW10.dir/depend.internal | 1 + .../CMakeFiles/HW10.dir/depend.make | 1 + .../CMakeFiles/HW10.dir/flags.make | 2 +- .../CMakeFiles/HW10.dir/main.cpp.o | Bin 312700 -> 414484 bytes .../CMakeFiles/Makefile.cmake | 3 - .../cmake-build-debug/FinalProject.cbp | 15 +- FinalProject/cmake-build-debug/HW10 | Bin 46120 -> 60472 bytes FinalProject/main.cpp | 229 ++++++++++++++---- FinalProject/results.txt | 12 + 15 files changed, 419 insertions(+), 80 deletions(-) create mode 100644 FinalProject/100X100_Matrix.txt create mode 100644 FinalProject/results.txt diff --git a/FinalProject/100X100_Matrix.txt b/FinalProject/100X100_Matrix.txt new file mode 100644 index 0000000..a2d1ef0 --- /dev/null +++ b/FinalProject/100X100_Matrix.txt @@ -0,0 +1,203 @@ +100 +7 8 7 9 5 8 6 6 0 2 7 2 4 5 5 0 7 8 3 5 9 0 8 9 1 8 6 3 9 9 0 5 9 7 5 3 6 5 5 0 9 9 5 2 8 2 7 6 1 5 2 2 8 9 7 7 6 2 4 2 3 8 0 1 5 8 1 6 7 9 8 9 6 2 6 7 1 9 6 7 4 3 9 5 9 4 1 2 0 7 0 7 2 6 7 0 6 6 1 6 +9 7 0 8 8 7 6 6 1 6 7 7 1 1 3 7 4 3 1 6 6 9 6 9 0 7 2 9 7 6 3 9 0 0 5 0 0 4 8 3 4 3 9 3 7 4 3 8 8 9 3 5 3 2 5 7 2 8 5 2 6 6 5 4 8 6 9 2 6 2 4 7 6 3 6 7 3 5 0 7 0 4 3 7 4 8 9 4 5 7 2 8 4 3 2 5 0 1 2 1 +6 9 4 0 7 1 4 3 0 8 3 4 2 0 5 5 8 0 7 3 1 0 2 0 7 2 6 1 3 6 2 5 5 4 4 6 1 2 5 9 9 6 7 5 5 1 8 6 9 7 1 8 9 1 2 3 3 9 4 9 4 4 2 9 9 9 3 0 5 5 7 6 1 9 3 1 8 1 5 4 3 8 5 5 5 1 8 5 8 5 2 9 3 3 1 7 1 3 9 7 +8 8 3 4 4 7 5 3 7 3 0 4 8 9 4 2 1 4 6 3 6 3 0 7 6 9 4 4 7 0 2 6 4 6 4 5 6 2 7 5 9 5 2 9 2 9 5 5 3 4 5 5 7 6 9 7 8 8 6 1 3 0 9 1 6 7 1 7 9 7 4 5 6 2 7 6 5 0 1 1 7 8 5 5 4 2 9 5 8 0 6 7 6 4 7 6 8 3 1 2 +7 7 1 8 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0 4 9 4 8 5 9 9 4 8 8 5 4 1 1 9 5 4 8 5 0 0 4 3 3 4 0 9 9 9 8 4 6 0 3 1 3 0 7 5 1 4 8 8 6 7 9 8 4 0 1 6 6 7 +4 0 8 3 7 3 8 3 8 2 4 0 5 9 6 6 9 7 2 5 1 3 2 5 0 9 4 7 7 6 2 5 0 3 6 8 1 6 1 8 1 3 1 5 0 0 5 6 0 3 6 5 1 2 5 6 3 5 6 9 7 5 2 1 9 3 7 4 4 3 2 0 8 1 0 8 2 6 9 1 3 6 8 6 4 3 0 1 8 4 3 8 5 8 1 0 9 4 5 5 +8 7 9 8 3 5 0 2 9 8 5 8 9 8 1 2 3 2 2 4 8 1 7 5 0 4 5 8 6 1 3 3 5 2 6 1 1 9 8 9 6 1 8 9 3 9 7 1 3 9 5 2 8 5 9 1 0 4 6 1 2 8 9 6 9 4 7 1 7 9 6 8 1 5 7 3 4 5 1 9 6 9 2 7 9 3 7 2 9 9 2 0 4 4 6 6 4 0 6 6 +6 5 5 8 1 9 2 5 0 1 3 5 2 7 7 2 1 9 5 1 6 1 5 8 7 0 9 7 1 1 1 0 8 6 8 7 9 9 8 3 3 0 3 9 8 9 0 2 9 9 2 7 6 6 9 7 1 1 1 2 4 4 4 5 5 4 2 3 8 1 6 8 4 4 5 2 1 4 0 9 5 3 6 0 6 7 9 7 3 4 1 2 1 0 6 7 4 1 8 5 +5 1 8 0 9 0 6 8 0 2 1 5 3 7 2 4 4 2 9 1 9 0 4 9 5 2 6 1 1 6 1 7 6 8 1 2 3 1 6 9 8 4 9 4 5 1 1 9 7 3 2 8 3 1 1 8 1 4 6 8 6 6 7 3 2 4 2 2 0 6 9 3 3 4 3 2 0 8 3 5 2 6 7 5 6 1 7 6 9 3 0 1 3 4 6 6 2 9 0 0 +2 0 5 7 9 7 2 1 9 0 1 3 0 2 6 8 2 1 3 8 1 8 1 0 1 5 8 6 3 4 0 7 2 9 6 3 2 7 4 7 3 5 6 7 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5 4 9 8 7 3 8 4 5 8 7 6 6 2 6 2 5 9 2 9 1 0 6 1 2 7 8 3 4 9 2 7 6 3 1 0 6 9 9 5 9 9 4 3 0 1 6 3 9 5 0 6 4 0 0 6 2 6 9 7 5 4 0 8 7 7 +2 4 4 5 6 9 1 8 8 4 1 8 4 7 1 0 6 5 4 5 6 4 9 0 5 4 4 0 3 7 1 9 3 9 6 5 1 0 0 3 9 2 8 6 3 8 4 9 6 2 0 4 4 4 0 8 5 7 8 3 4 4 7 1 6 3 7 4 1 5 1 7 1 5 8 7 6 7 6 6 9 1 4 2 1 4 2 4 4 2 3 0 2 1 6 4 9 3 9 0 +2 2 0 6 6 8 1 3 2 1 9 5 7 2 2 7 6 7 0 7 3 7 5 4 8 0 6 2 0 0 1 3 4 2 1 6 1 9 5 1 0 1 7 8 6 1 5 1 1 2 7 8 4 1 5 8 6 8 2 4 7 7 3 6 0 2 7 0 6 8 3 2 3 0 2 7 5 1 7 7 7 1 3 7 0 5 9 2 2 2 7 7 3 2 4 4 8 4 6 1 +5 9 1 8 7 3 8 1 1 1 9 2 6 8 3 8 5 3 3 7 0 0 1 0 9 7 1 8 3 9 2 3 2 6 4 9 9 4 0 6 7 4 7 3 8 6 2 7 6 2 9 4 7 1 4 4 8 2 9 5 9 4 0 6 0 1 3 4 8 9 2 0 0 4 9 7 1 9 4 1 8 5 7 9 1 4 9 7 1 5 3 1 4 2 4 9 1 3 4 6 +5 7 5 2 5 7 8 1 0 9 9 7 5 8 0 6 5 7 7 5 8 1 4 9 1 8 7 3 2 1 5 9 0 1 4 0 9 5 8 8 6 5 3 4 0 1 3 4 4 4 3 1 4 1 4 5 3 9 3 1 1 6 7 4 7 9 0 5 0 1 8 5 3 6 9 3 8 4 3 5 4 0 0 4 6 1 1 9 4 4 4 8 6 3 0 1 2 2 8 8 +5 7 9 1 1 5 8 5 4 4 6 7 0 9 8 1 6 9 5 2 1 1 8 7 7 3 4 9 8 7 0 0 6 7 9 7 5 0 6 9 4 6 1 1 3 5 7 5 0 2 6 5 5 8 1 3 7 6 5 1 3 1 9 0 0 9 4 9 4 8 2 7 3 5 5 7 3 1 2 1 0 4 8 1 7 8 2 3 9 9 6 8 5 0 3 4 5 9 5 1 +4 8 0 1 2 8 2 4 6 0 6 1 0 1 7 7 1 2 5 2 6 8 2 0 5 9 7 9 6 9 1 3 0 8 5 6 3 9 7 9 9 5 3 0 0 0 4 8 2 2 1 2 6 3 5 8 5 6 1 9 8 5 7 1 6 0 5 0 0 6 8 2 8 9 7 8 4 3 5 4 4 7 7 7 5 1 6 2 3 1 7 5 9 6 7 7 7 9 3 3 +2 2 7 7 5 4 4 8 7 5 0 1 6 6 4 1 0 8 2 6 6 2 8 6 1 7 1 2 5 0 7 9 0 6 3 4 9 3 8 2 1 5 9 7 8 6 0 1 5 8 3 3 5 2 1 2 3 4 3 8 4 1 2 8 9 6 9 8 5 7 4 7 1 9 4 2 6 5 8 0 1 3 4 7 0 7 0 2 1 2 1 1 5 6 3 6 4 9 7 2 +1 0 5 1 1 1 7 5 4 6 5 2 3 9 6 6 2 6 9 7 8 2 1 3 2 6 7 6 4 7 6 1 3 9 8 0 1 5 0 1 0 0 4 2 6 9 9 0 7 9 8 5 0 6 3 2 3 9 0 4 4 9 5 7 9 1 2 4 7 2 0 6 0 0 6 7 2 3 2 7 8 6 0 4 7 7 2 9 8 3 3 9 2 1 3 9 7 9 2 9 +1 0 2 1 2 9 5 2 2 2 5 2 6 1 1 0 1 9 4 6 9 0 1 7 5 8 4 9 9 7 9 8 6 4 4 9 0 1 3 7 1 4 4 4 1 5 8 4 0 7 6 3 5 2 4 0 3 8 2 6 1 3 4 3 1 3 4 3 8 8 5 3 5 7 2 5 1 0 8 6 6 1 8 4 6 8 7 4 5 1 0 3 8 2 0 9 7 1 5 1 +9 0 7 3 0 5 7 5 7 6 9 9 2 3 3 9 7 5 2 0 9 1 6 3 1 2 7 6 1 6 7 7 5 3 2 9 8 5 9 1 2 1 5 9 7 0 2 0 0 0 4 3 0 2 5 3 2 4 1 1 2 8 2 8 9 3 4 2 0 4 8 2 2 5 9 0 3 3 4 2 6 1 5 9 8 3 2 2 7 4 5 1 8 8 4 8 1 5 9 7 +0 0 9 3 3 1 3 9 3 6 2 2 2 5 6 9 1 6 9 6 5 4 1 2 6 8 6 2 1 3 5 4 6 6 9 0 9 1 1 5 5 1 3 3 3 6 0 8 5 1 3 6 9 6 2 4 7 8 3 0 8 4 2 9 9 9 9 6 9 6 5 2 8 3 8 0 7 9 7 8 8 5 9 4 0 0 2 1 7 6 7 9 8 3 9 1 3 0 2 4 +5 7 8 6 0 7 9 7 3 6 5 3 4 1 0 8 0 1 9 6 3 3 1 2 0 6 3 5 0 4 0 7 0 0 5 5 9 2 2 1 6 1 2 1 9 8 4 4 0 4 4 6 4 9 2 3 8 7 9 4 2 1 4 5 7 3 8 2 4 6 8 7 3 7 5 5 9 3 4 6 5 2 0 6 1 0 4 8 4 1 4 6 9 6 2 5 3 0 7 5 +0 5 9 7 7 7 2 2 2 1 8 6 5 9 0 6 4 0 8 1 5 5 5 0 6 7 0 1 5 9 9 7 0 4 1 6 2 8 3 6 2 6 4 6 9 3 8 0 2 3 2 9 1 8 8 4 5 3 9 2 7 8 0 5 4 8 9 9 6 7 5 4 8 5 7 9 2 8 5 0 7 7 7 8 1 3 9 7 6 1 6 7 7 7 3 2 0 3 4 2 +9 1 6 9 5 9 0 5 2 5 9 2 4 3 0 6 3 0 7 2 9 5 7 3 4 9 8 1 2 6 0 9 8 9 9 9 1 6 3 8 3 0 4 7 8 0 6 1 6 9 0 8 6 5 2 2 1 6 9 4 5 9 9 3 6 7 7 0 7 2 4 5 3 8 8 6 8 1 1 6 0 2 9 4 0 3 6 7 4 2 1 1 8 2 0 0 8 9 4 5 +9 6 9 4 0 7 1 9 4 6 9 0 7 3 3 3 0 3 5 4 7 8 0 6 2 0 8 8 2 3 1 9 5 9 4 0 0 2 7 7 6 2 9 2 6 3 3 8 0 8 7 4 5 8 0 4 9 0 3 4 4 7 1 1 6 2 1 3 6 1 0 9 5 5 9 2 8 4 0 6 4 4 9 4 4 4 8 5 2 4 0 8 0 5 5 9 1 8 4 9 +6 5 0 5 6 0 0 0 1 9 1 4 8 1 0 8 3 6 6 3 1 8 8 3 2 6 1 8 3 4 1 1 8 1 0 1 8 8 5 9 3 2 6 5 3 0 0 2 1 1 7 7 2 3 3 4 2 2 0 4 2 4 8 3 8 5 1 2 4 4 4 5 5 5 4 8 3 9 6 2 5 1 7 2 4 1 3 5 7 2 1 2 2 8 4 0 3 5 5 3 +0 1 2 6 3 4 8 5 8 2 7 8 1 1 8 3 7 8 7 0 5 8 8 8 4 4 0 7 3 2 9 1 8 6 5 6 6 0 1 9 9 7 5 2 8 7 8 1 0 1 9 7 8 0 4 4 1 5 5 8 0 0 9 4 8 5 2 8 5 3 1 7 4 2 9 4 7 5 5 3 1 6 7 1 6 1 7 0 6 4 6 3 0 5 8 2 9 5 1 5 +5 7 3 9 0 5 6 9 0 6 5 4 9 0 5 5 3 6 0 7 4 8 0 2 5 2 8 8 2 7 4 1 1 1 0 8 8 5 6 1 1 9 3 4 3 7 7 9 3 1 7 4 3 9 1 0 4 3 1 0 6 2 2 9 5 1 8 6 6 5 7 4 8 3 8 0 7 1 9 8 1 0 6 7 9 8 3 6 8 8 2 3 6 0 7 2 9 6 8 3 +3 9 6 8 9 4 9 8 6 8 0 8 3 0 9 2 9 2 9 4 4 5 4 1 1 6 3 1 4 8 9 1 5 6 9 9 8 4 5 9 3 8 0 7 8 3 2 9 1 9 7 0 2 1 1 6 4 5 3 0 6 0 9 9 0 9 3 5 4 8 7 7 1 0 6 2 1 6 9 7 0 6 1 3 8 2 6 9 4 9 7 2 3 5 0 4 5 8 7 9 +1 5 1 9 7 5 4 6 9 2 5 7 3 7 4 5 6 5 0 2 4 6 7 5 5 2 5 9 6 9 5 7 5 6 8 4 7 0 6 2 6 1 6 8 6 0 8 5 8 0 8 8 2 5 2 4 2 7 8 1 3 5 1 7 3 0 4 5 8 1 1 3 6 0 1 0 8 4 6 8 5 2 0 7 3 1 6 0 5 2 1 1 9 6 5 1 4 5 1 5 +8 6 9 0 9 1 1 5 4 9 5 8 2 0 8 0 1 4 3 5 3 4 2 9 7 0 5 4 9 6 4 6 7 8 9 9 7 4 0 6 3 3 7 0 2 5 3 4 2 0 5 0 0 9 2 9 7 7 7 6 0 2 2 6 9 0 1 6 3 5 1 6 2 9 9 5 3 8 4 8 8 1 5 5 0 9 5 0 9 9 4 1 2 7 8 6 3 5 7 0 +8 8 2 4 1 9 8 9 0 4 0 0 6 3 6 1 6 6 2 4 1 1 4 9 8 1 0 4 8 6 9 8 0 3 0 5 2 9 2 4 6 6 6 5 9 1 3 3 6 4 8 2 2 2 9 9 1 0 0 9 1 4 8 1 8 6 4 3 6 8 1 7 7 0 7 6 9 2 2 7 8 4 8 7 9 2 4 5 3 5 6 9 1 4 2 0 8 0 2 6 +0 7 0 2 9 0 4 9 7 2 5 2 6 6 7 1 1 4 3 4 7 6 1 3 9 0 7 0 4 2 2 0 0 6 7 0 7 7 8 2 6 2 1 9 4 5 5 1 7 0 8 4 5 9 1 5 8 8 6 3 4 8 7 4 1 1 7 5 5 3 5 9 3 0 4 5 5 3 9 2 5 1 2 5 0 8 9 3 6 6 7 7 5 0 3 4 3 8 5 6 +5 7 0 2 0 1 2 7 3 4 3 4 7 9 0 0 2 3 2 3 5 0 9 8 4 9 4 7 4 4 6 5 3 5 7 2 5 6 8 9 5 7 2 1 2 9 6 9 0 9 5 1 5 4 4 0 6 2 8 7 0 4 3 6 7 7 6 6 0 0 1 1 8 8 2 6 0 2 6 0 5 7 4 3 6 7 2 9 5 9 5 8 2 5 9 4 7 6 2 0 +5 0 0 9 8 3 8 8 8 0 3 6 2 2 4 9 9 4 1 8 0 2 5 8 7 1 0 3 4 4 3 3 2 7 9 2 2 2 7 3 2 3 5 4 2 2 0 8 5 0 1 0 1 9 0 9 0 2 1 4 9 9 7 1 9 1 1 2 3 7 2 0 8 8 3 7 4 1 7 8 5 2 9 6 1 5 1 5 0 1 1 9 8 4 2 8 5 5 5 5 +2 6 7 1 0 5 1 0 9 6 8 9 8 6 9 4 9 8 9 9 2 9 7 0 0 2 2 4 0 5 7 3 2 3 6 0 3 4 7 4 6 1 2 9 0 7 6 5 4 0 9 9 9 6 3 4 3 9 5 9 5 3 7 2 8 5 8 6 9 3 1 0 7 9 1 0 1 0 8 4 0 2 9 8 4 9 0 6 0 6 4 5 4 9 4 8 0 2 8 3 \ No newline at end of file diff --git a/FinalProject/CMakeLists.txt b/FinalProject/CMakeLists.txt index bd7103b..b3d0a6d 100644 --- a/FinalProject/CMakeLists.txt +++ b/FinalProject/CMakeLists.txt @@ -3,16 +3,15 @@ project(FinalProject) set(CMAKE_CXX_STANDARD 11) SET(CMAKE_CXX_COMPILER mpicxx) find_package(MPI REQUIRED) -find_package(nlohmann_json 3.2.0 REQUIRED) add_definitions(-DOMPI_SKIP_MPICXX) set(HEADER_FILES - ) -set(SOURCE_FILES Serialize_Deserialize_Vector.h) +set(SOURCE_FILES + ) add_executable(HW10 ${HEADER_FILES} ${SOURCE_FILES} main.cpp) set_property(TARGET HW10 PROPERTY CXX_STANDARD 11) target_compile_options(HW10 PRIVATE -Wall -Wextra -pedantic -Wl,--stack,10000000 -O3) -target_link_libraries(HW10 PRIVATE MPI::MPI_C nlohmann_json::nlohmann_json) +target_link_libraries(HW10 PRIVATE MPI::MPI_C) diff --git a/FinalProject/Matrix.txt b/FinalProject/Matrix.txt index 653c6c8..52b9d03 100644 --- a/FinalProject/Matrix.txt +++ b/FinalProject/Matrix.txt @@ -1,8 +1,9 @@ -3 -1 2 3 -4 5 6 -7 8 9 +4 +0 3 2 1 +3 2 2 2 +1 4 1 5 +2 6 7 2 9 8 7 6 5 4 -3 2 1 +3 2 1 \ No newline at end of file diff --git a/FinalProject/a.out b/FinalProject/a.out index 1962920451f3c8f6173c0025d9f6fe111ee7a4af..0515b85bc274f3c54ef7594de432d03d5af4f975 100755 GIT binary patch delta 35724 zcmeIbdt6ji7e9Q?fe}y?6j8j7cf5mucNDeB@lK{@WdS0JiAn-qN}4ewohFjp)@WH# zS&yX^<+V&hDbyBLJZbN zx7vPEk!Lb_`$=)PK05l+DMj88qNE8MVr@tVQLEdd-5;|7#ncD~OKyr`ZEQdZl@d@ank7juJq_FztoWf#~gQbmf- zo#N@>e$g?%Ug-j1X={_s-qg;_GDGyWjd8(O+1e^nL4OiyRp=uNDT>0~G|e5yoLJ-gxk$L{Yw;J3|dM0S&5MqGRGWRqjj zxxHWu)%u`%B(7}O3f z2F4@~$dPL7tY((e^R2V!e5BJ;c**H4ykt&Z+0cv_b4#?#Rt6U#;CFhCn|I!cve&ll 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zf;RqjNbnl^FJqGa|1>6i?Yjf`sdxX2AA2^Hx1X}s<^3f>36S6a>V9)#Pzb;9$xwVu zv++kiA62*ROdo}B`+Oq*< > A = std::vector >(0, std::vector(0)); std::vector > B = std::vector >(0, std::vector(0)); std::vector > AB = std::vector >(0, std::vector(0)); @@ -23,18 +21,132 @@ void serial_version(); void compute_interval(int start, int interval); void multiplyMatrix(int rank, int size); void read_in_matrices(); +void print_help(); +void determinant(); +std::vector > read_in_single_matrix(); +void reduced_row(); - -int main(int argc, char** argv){ +int main(int argc, char** argv) { int rank, size; MPI_Init(&argc, &argv); MPI_Comm_rank(MCW, &rank); MPI_Comm_size(MCW, &size); - multiplyMatrix(rank, size); + if(!rank) + myfile.open ("results.txt"); + + bool done = false; + while (!done) { + char user_input; + if (!rank) { + bool user_input_complete = false; + while (!user_input_complete) { + cout << "Enter your selection: \n\t 1=Matrix Multiplication \n\t 2=Reduced Row \n\t 3=Matrix Determinent \n\t h=help \n\t q=Exit" + << endl; + cin >> user_input; + if (user_input == 'h') + print_help(); + else if (user_input == '1' || user_input == '2' || user_input == '3' || + user_input == 'q') + user_input_complete = true; + } + } + MPI_Barrier(MCW); + MPI_Bcast(&user_input, 1, MPI_INT, 0, MCW ); + if (user_input == '1') + multiplyMatrix(rank, size); + else if (user_input == '2'){ + if(!rank) + reduced_row(); + } + else if (user_input == '3') { + if (!rank) + determinant(); + } + else if (user_input == 'q') + done = true; + } + myfile.close(); MPI_Finalize(); + return 0; +} +void reduced_row() { + cout << "Reduced Row: " << endl; + myfile << "Reduced Row: " << endl; + std::vector > M = read_in_single_matrix(); + int n = M.size(); + const double SMALL = 1.0E-30; + + for (int i = 0; i < n - 1; i++) { + int r = i; + double maxM = abs(M[i][i]); + for (int k = i + 1; k < n; k++) { + double val = abs(M[k][i]); + if (val > maxM) { + r = k; + maxM = val; + } + } + if (r != i) + for (int j = i; j < n; j++) + swap(M[i][j], M[r][j]); + + double pivot = M[i][i]; + if (abs(pivot) < SMALL) { + print_matrix(M); + return; + } + + for (int rows = i + 1; rows < n; rows++) { + double multiple = M[rows][i] / pivot; + for (int j = i; j < n; j++) + M[rows][j] -= multiple * M[i][j]; + } + } + print_matrix(M); +} +std::vector > read_in_single_matrix() { + ifstream f("Matrix.txt"); + f >> N; + // Allocate memory + A.resize(N); + for (int i = 0; i < N; ++i) + A[i].resize(N); + for (int i = 0; i < N; i++) + for (int j = 0; j < N; j++) + f >> A[i][j]; + return A; } +void print_help(){ + cout << "Inputs-" + "\n\t<1> Matrix Multiplication" + "\n\t\t Matrix Multiplication runs both a parallel and serial implementation timing both results for comparison." + "\n\t\t The read files first line should be the dimensions of the matricies being read and formatted as below:" + "\n\t\t\t 3" + "\n\t\t\t 1 2 3" + "\n\t\t\t 4 5 6" + "\n\t\t\t 7 8 9" + "\n" + "\n\t\t\t 9 8 7" + "\n\t\t\t 6 5 4" + "\n\t\t\t 3 2 1" + "\n\n\t<2> Reduced Row" + "\n\t\t Reduced row will preform row swaps to get the matrix into reduced row format." + "\n\t\t The read files first line should be the dimensions of the matrix being read and formatted as below:" + "\n\t\t\t 3" + "\n\t\t\t 1 2 3" + "\n\t\t\t 4 5 6" + "\n\t\t\t 7 8 9" + "\n\n\t<3> Matrix Determinent" + "\n\t\t The Matrix determinant will be calculated by placing the matrix in reduced row format and then multiplying the pivot points." + "\n\t\t The read files first line should be the dimensions of the matrix being read and formatted as below:" + "\n\t\t\t 3" + "\n\t\t\t 1 2 3" + "\n\t\t\t 4 5 6" + "\n\t\t\t 7 8 9" + <> N; @@ -51,8 +163,6 @@ void read_in_matrices() { AB_serial.resize(N); for (int i = 0; i < N; ++i) AB_serial[i].resize(N); - // Fill Matricies - for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) @@ -64,18 +174,18 @@ void read_in_matrices() { for (int j = 0; j < N; j++) AB[i][j] = 0; } - -//Function to print matrix void print_matrix(std::vector >mat) { for (int i = 0; i < N; i++){ for (int j = 0; j tmpB = std::vector(N*N); tmpB = Serialize_Deserialize_Vector::Serialize(B); MPI_Bcast(&tmpB[0],N*N,MPI_DOUBLE,0,MCW); if(rank) B=Serialize_Deserialize_Vector::Deserialize(tmpB); - //print_matrix(B); std::vector tmpA = std::vector(N*N); tmpA = Serialize_Deserialize_Vector::Serialize(A); MPI_Bcast(&tmpA[0], N*N, MPI_DOUBLE, 0, MCW); -// MPI_Scatter(&tmpA[0], interval * N, MPI_DOUBLE, &tmpA[rank * interval], interval * N, -// MPI_DOUBLE, 0, MCW); if(rank) A=Serialize_Deserialize_Vector::Deserialize(tmpA); - //print_matrix(A); - //Each processor cumputes the interval they are responsible for compute_interval(rank*interval,interval); - //Gather results - auto tmp_AB = Serialize_Deserialize_Vector::Serialize(AB); -// cout << "RANK: " << rank << " INTERVAL: "<< interval << " rank*N " << rank*N << " tmp_AB.size() "< tmp(interval*N); -// for(int i = (rank * interval*N),j=0; i < (rank * interval*N)+N; i++, j++){ -// tmp[j]=tmp_AB[i]; -// cout << tmp[j]<<" "; -// } -// cout << endl; -// std::vector test(N*N); + std::vector tmp_AB = Serialize_Deserialize_Vector::Serialize(AB); MPI_Gather(&tmp_AB[rank * interval*N], interval * N, MPI_DOUBLE, &tmp_AB[rank*interval*N], interval * N, MPI_DOUBLE, 0, MCW); AB=Serialize_Deserialize_Vector::Deserialize(tmp_AB); - if(!rank) - print_matrix(AB); //Record parallel finish time MPI_Barrier(MCW); - time2 = MPI_Wtime(); if (!rank){ - cout << "made it here!!" < > M = read_in_single_matrix(); + int n = M.size(); + const double SMALL = 1.0E-30; + double det = 1; + + for ( int i = 0; i < n - 1; i++ ) + { + int r = i; + double maxM = abs( M[i][i] ); + for ( int k = i + 1; k < n; k++ ) + { + double val = abs( M[k][i] ); + if ( val > maxM ) + { + r = k; + maxM = val; + } + } + if ( r != i ) + { + for ( int j = i; j < n; j++ ) swap( M[i][j], M[r][j] ); + det = -det; + } + + double pivot = M[i][i]; + if ( abs( pivot ) < SMALL ) { + cout << "Determinant = " << M[0][0] << " for matrix: " <