From 3875ac2b8df9145a66e9f6fcf34e77eb3bc2d072 Mon Sep 17 00:00:00 2001 From: Nunigan Date: Tue, 27 Jul 2021 22:01:05 +0200 Subject: added first part of paper and code --- buch/papers/multiplikation/code/Figure_1.png | Bin 0 -> 144173 bytes buch/papers/multiplikation/code/MM | Bin 0 -> 26848 bytes buch/papers/multiplikation/code/MM.c | 465 + buch/papers/multiplikation/code/MM.py | 311 + .../code/__pycache__/MM.cpython-38.pyc | Bin 0 -> 4160 bytes buch/papers/multiplikation/code/c_matrix.h | 101 + buch/papers/multiplikation/code/c_meas_1024.pdf | Bin 0 -> 16748 bytes buch/papers/multiplikation/code/c_meas_128.pdf | Bin 0 -> 16454 bytes buch/papers/multiplikation/code/c_meas_16.pdf | Bin 0 -> 16376 bytes buch/papers/multiplikation/code/c_meas_2048.pdf | Bin 0 -> 16281 bytes buch/papers/multiplikation/code/c_meas_256.pdf | Bin 0 -> 15286 bytes buch/papers/multiplikation/code/c_meas_32.pdf | Bin 0 -> 15163 bytes buch/papers/multiplikation/code/c_meas_4096.pdf | Bin 0 -> 15865 bytes 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buch/papers/multiplikation/code/MM create mode 100755 buch/papers/multiplikation/code/MM.c create mode 100644 buch/papers/multiplikation/code/MM.py create mode 100644 buch/papers/multiplikation/code/__pycache__/MM.cpython-38.pyc create mode 100644 buch/papers/multiplikation/code/c_matrix.h create mode 100644 buch/papers/multiplikation/code/c_meas_1024.pdf create mode 100644 buch/papers/multiplikation/code/c_meas_128.pdf create mode 100644 buch/papers/multiplikation/code/c_meas_16.pdf create mode 100644 buch/papers/multiplikation/code/c_meas_2048.pdf create mode 100644 buch/papers/multiplikation/code/c_meas_256.pdf create mode 100644 buch/papers/multiplikation/code/c_meas_32.pdf create mode 100644 buch/papers/multiplikation/code/c_meas_4096.pdf create mode 100644 buch/papers/multiplikation/code/c_meas_512.pdf create mode 100644 buch/papers/multiplikation/code/c_meas_64.pdf create mode 100644 buch/papers/multiplikation/code/c_meas_8.pdf create mode 100755 buch/papers/multiplikation/code/helper_class.py create mode 100644 buch/papers/multiplikation/code/meas/MM.txt create mode 100644 buch/papers/multiplikation/code/meas/MM_dc.txt create mode 100644 buch/papers/multiplikation/code/meas/blas.txt create mode 100644 buch/papers/multiplikation/code/meas/strassen.txt create mode 100644 buch/papers/multiplikation/code/meas/test/4096/MM.txt create mode 100644 buch/papers/multiplikation/code/meas/test/4096/strassen.txt create mode 100644 buch/papers/multiplikation/code/meas/test/MM.txt create mode 100644 buch/papers/multiplikation/code/meas/test/blas.txt create mode 100644 buch/papers/multiplikation/code/meas/test/winograd.txt create mode 100644 buch/papers/multiplikation/code/meas/winograd.txt create mode 100644 buch/papers/multiplikation/code/meas_1024.pdf create mode 100644 buch/papers/multiplikation/code/meas_1024.txt create mode 100644 buch/papers/multiplikation/code/meas_128.pdf create mode 100644 buch/papers/multiplikation/code/meas_128.txt create mode 100644 buch/papers/multiplikation/code/meas_16.pdf create mode 100644 buch/papers/multiplikation/code/meas_16.txt create mode 100644 buch/papers/multiplikation/code/meas_256.pdf create mode 100644 buch/papers/multiplikation/code/meas_256.txt create mode 100644 buch/papers/multiplikation/code/meas_32.pdf create mode 100644 buch/papers/multiplikation/code/meas_32.txt create mode 100644 buch/papers/multiplikation/code/meas_512.pdf create mode 100644 buch/papers/multiplikation/code/meas_512.txt create mode 100644 buch/papers/multiplikation/code/meas_64.pdf create mode 100644 buch/papers/multiplikation/code/meas_64.txt create mode 100644 buch/papers/multiplikation/code/meas_8.pdf create mode 100644 buch/papers/multiplikation/code/meas_8.txt create mode 100644 buch/papers/multiplikation/code/test.tex (limited to 'buch/papers/multiplikation/code') diff --git a/buch/papers/multiplikation/code/Figure_1.png b/buch/papers/multiplikation/code/Figure_1.png new file mode 100755 index 0000000..9def15a Binary files /dev/null and b/buch/papers/multiplikation/code/Figure_1.png differ diff --git a/buch/papers/multiplikation/code/MM b/buch/papers/multiplikation/code/MM new file mode 100755 index 0000000..f07985f Binary files /dev/null and b/buch/papers/multiplikation/code/MM differ diff --git a/buch/papers/multiplikation/code/MM.c b/buch/papers/multiplikation/code/MM.c new file mode 100755 index 0000000..04c4dab --- /dev/null +++ b/buch/papers/multiplikation/code/MM.c @@ -0,0 +1,465 @@ +#include +#include +#include +#include +#include +#include "c_matrix.h" +#include +#include + +void MM(int *A, int *B, int *C, int n); +void openMP_MM(int *A, int *B, int *C, int n); +void winograd(int *A, int *B, int *C, int n); +int winograd_inner(int *a, int *b, int n); +void run_algo(void (*algo)(), char alog_name[], int print); +void run_algo_cblas(int print); +void MM_dc(int *A, int *B, int *C, int n); +void strassen(int *A, int *B, int *C, int n); +void printMatrix(int *C, int n); +void printMatrix_double(double *C, int n); +void split(int *in, int *out, int n, int col, int row); +void join(int *in, int *out, int n, int col, int row); +void add(int *A, int *B, int *C, int n); +void sub(int *A, int *B, int *C, int n); +void multiply(int *A, int *B, int *C, int n); + +int main() { + // omp_set_dynamic(0); + // omp_set_num_threads(4); +// run_algo(openMP_MM, "openMP_MM",0); + run_algo(MM_dc, "MM_dc",0); + run_algo(strassen, "strassen",0); + + run_algo(MM, "MM", 0); + // run_algo(winograd, "winograd", 0); + run_algo_cblas(0); + + return 0; +} + +void MM(int *A, int *B, int *C, int n) { + for (int i = 0; i < n; ++i) { + for (int j = 0; j < n; ++j) { + int sum = 0; + for (int k = 0; k < n; ++k) { + sum += (*((A + i * n) + k)) * (*((B + k * n) + j)); + } + *((C + i * n) + j) = sum; + } + } +} + +int winograd_inner(int *a, int *b, int n){ + int ab = 0; + if(n%2==0) + { + int xi = 0; + int etha = 0; + for(int i = 0; i +const int A0[][2] = + { + {-15,68}, + {49,86} + }; +const int B0[][2] = + { + {33,73}, + {38,-76} + }; +const double dB0[][2] = + { + {33,73}, + {38,-76} + }; +const double dA0[][2] = + { + {-15,68}, + {49,86} + }; +const int A1[][4] = + { + {75,-38,-32,-65}, + {37,74,-31,29}, + {15,-62,-20,-20}, + {-31,-35,-89,47} + }; +const int B1[][4] = + { + {71,90,78,-98}, + {4,63,12,-47}, + {11,-44,75,-69}, + {95,-15,64,23} + }; +const double dB1[][4] = + { + {71,90,78,-98}, + {4,63,12,-47}, + {11,-44,75,-69}, + {95,-15,64,23} + }; +const double dA1[][4] = + { + {75,-38,-32,-65}, + {37,74,-31,29}, + {15,-62,-20,-20}, + {-31,-35,-89,47} + }; +const int A2[][8] = + { + {80,42,3,-16,6,55,87,16}, + {-99,-14,21,-1,-94,-56,91,10}, + {-47,-55,-59,62,12,-53,87,-65}, + {-60,94,-67,23,-62,33,-63,-72}, + {12,-75,16,21,22,-37,1,16}, + {-100,-99,82,-66,2,64,-13,44}, + {59,-100,-90,8,36,-24,18,88}, + {73,-58,75,-100,-19,-29,85,-19} + }; +const int B2[][8] = + { + {-61,88,69,49,-53,47,73,45}, + {16,14,-88,-11,-67,-73,-20,43}, + {-60,-63,26,32,-29,18,-44,-69}, + {1,21,21,38,7,-100,-61,-76}, + {-90,95,-99,88,49,-80,27,-36}, + {24,-12,-47,-7,29,15,52,37}, + {-98,-76,29,76,-41,-75,97,79}, + {62,-90,-35,-14,-30,-42,-95,52} + }; +const double dB2[][8] = + { + {-61,88,69,49,-53,47,73,45}, + {16,14,-88,-11,-67,-73,-20,43}, + {-60,-63,26,32,-29,18,-44,-69}, + {1,21,21,38,7,-100,-61,-76}, + {-90,95,-99,88,49,-80,27,-36}, + {24,-12,-47,-7,29,15,52,37}, + {-98,-76,29,76,-41,-75,97,79}, + {62,-90,-35,-14,-30,-42,-95,52} + }; +const double dA2[][8] = + { + {80,42,3,-16,6,55,87,16}, + {-99,-14,21,-1,-94,-56,91,10}, + {-47,-55,-59,62,12,-53,87,-65}, + {-60,94,-67,23,-62,33,-63,-72}, + {12,-75,16,21,22,-37,1,16}, + {-100,-99,82,-66,2,64,-13,44}, + {59,-100,-90,8,36,-24,18,88}, + {73,-58,75,-100,-19,-29,85,-19} + }; +const int *Ap[3] = {(int*) A0,(int*) A1,(int*) A2}; +const int *Bp[3] = {(int*) B0,(int*) B1,(int*) B2}; +const double *dAp[3] = {(double*) dA0,(double*) dA1,(double*) dA2}; +const double *dBp[3] = {(double*) dB0,(double*) dB1,(double*) dB2}; +int n[3] = {2,4,8}; +int n_arrays = 3; diff --git a/buch/papers/multiplikation/code/c_meas_1024.pdf b/buch/papers/multiplikation/code/c_meas_1024.pdf new file mode 100644 index 0000000..95b68b5 Binary files /dev/null and b/buch/papers/multiplikation/code/c_meas_1024.pdf differ diff --git a/buch/papers/multiplikation/code/c_meas_128.pdf b/buch/papers/multiplikation/code/c_meas_128.pdf new file mode 100644 index 0000000..56b9200 Binary files /dev/null and b/buch/papers/multiplikation/code/c_meas_128.pdf differ diff --git a/buch/papers/multiplikation/code/c_meas_16.pdf b/buch/papers/multiplikation/code/c_meas_16.pdf new file mode 100644 index 0000000..2edc82d Binary files /dev/null and b/buch/papers/multiplikation/code/c_meas_16.pdf differ diff --git a/buch/papers/multiplikation/code/c_meas_2048.pdf b/buch/papers/multiplikation/code/c_meas_2048.pdf new file mode 100644 index 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write_c_matrix(self, n_array): + + with open('c_matrix.h', 'w') as file: + file.writelines('/* Seminar Matrizen, autogenerated File, Michael Schmid, {} */ \n \n'.format(datetime.now().strftime("%d/%m/%Y, %H:%M:%S"))) + + file.writelines('#include \n') + + + + for k, n in enumerate(n_array): + A = np.random.randint(-100,100,(n,n)) + B = np.random.randint(-100,100,(n,n)) + file.writelines('const int A{}[][{}] = \n'.format(k, n)) + file.writelines(' {\n') + for i in range(n): + file.writelines(' {') + for j in range(n): + if j == n-1: + file.writelines('{}'.format(A[i,j])) + else: + file.writelines('{},'.format(A[i,j])) + if i == n-1: + file.writelines('}\n') + else: + file.writelines('},\n') + + file.writelines(' };\n') + + file.writelines('const int B{}[][{}] = \n'.format(k,n)) + file.writelines(' {\n') + for i in range(n): + file.writelines(' {') + for j in range(n): + if j == n-1: + file.writelines('{}'.format(B[i,j])) + else: + file.writelines('{},'.format(B[i,j])) + if i == n-1: + file.writelines('}\n') + else: + file.writelines('},\n') + + file.writelines(' };\n') + + file.writelines('const double dB{}[][{}] = \n'.format(k,n)) + file.writelines(' {\n') + for i in range(n): + file.writelines(' {') + for j in range(n): + if j == n-1: + file.writelines('{}'.format(B[i,j])) + else: + file.writelines('{},'.format(B[i,j])) + if i == n-1: + file.writelines('}\n') + else: + file.writelines('},\n') + + file.writelines(' };\n') + + file.writelines('const double dA{}[][{}] = \n'.format(k,n)) + file.writelines(' {\n') + for i in range(n): + file.writelines(' {') + for j in range(n): + if j == n-1: + file.writelines('{}'.format(A[i,j])) + else: + file.writelines('{},'.format(A[i,j])) + if i == n-1: + file.writelines('}\n') + else: + file.writelines('},\n') + + file.writelines(' };\n') + + file.writelines('const int *Ap[{}] = {{{}}}; \n'.format(len(n_array),",".join(['(int*) A'+str(element) for element in np.arange(len(n_array))]))) + file.writelines('const int *Bp[{}] = {{{}}}; \n'.format(len(n_array),",".join(['(int*) B'+str(element) for element in np.arange(len(n_array))]))) + file.writelines('const double *dAp[{}] = {{{}}}; \n'.format(len(n_array),",".join(['(double*) dA'+str(element) for element in np.arange(len(n_array))]))) + file.writelines('const double *dBp[{}] = {{{}}}; \n'.format(len(n_array),",".join(['(double*) dB'+str(element) for element in np.arange(len(n_array))]))) + file.writelines('int n[{}] = {{{}}}; \n'.format(len(n_array),",".join([str(element) for element in n_array]))) + file.writelines('int n_arrays = {};\n'.format(len(n_array))) + +# test%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +if __name__ == '__main__': + + helper = Helper() + # n = np.arange(2,10) + n = np.logspace(1,3,3,base=2,dtype=(np.int)) + C = helper.write_c_matrix(n) diff --git a/buch/papers/multiplikation/code/meas/MM.txt b/buch/papers/multiplikation/code/meas/MM.txt new file mode 100644 index 0000000..1a0cd5d --- /dev/null +++ b/buch/papers/multiplikation/code/meas/MM.txt @@ -0,0 +1,12 @@ +0.000000,2 +0.000000,4 +0.000002,8 +0.000011,16 +0.000080,32 +0.000653,64 +0.005397,128 +0.045147,256 +0.487710,512 +3.964180,1024 +128.863544,2048 +996.370209,4096 diff --git a/buch/papers/multiplikation/code/meas/MM_dc.txt b/buch/papers/multiplikation/code/meas/MM_dc.txt new file mode 100644 index 0000000..0d5580a --- /dev/null +++ b/buch/papers/multiplikation/code/meas/MM_dc.txt @@ -0,0 +1,12 @@ +0.000006,2 +0.000007,4 +0.000035,8 +0.000228,16 +0.001310,32 +0.007204,64 +0.034338,128 +0.267511,256 +2.131212,512 +17.177403,1024 +146.112874,2048 +1156.777565,4096 diff --git a/buch/papers/multiplikation/code/meas/blas.txt b/buch/papers/multiplikation/code/meas/blas.txt new file mode 100644 index 0000000..6b7cd0b --- /dev/null +++ b/buch/papers/multiplikation/code/meas/blas.txt @@ -0,0 +1,12 @@ +0.000001,2 +0.000000,4 +0.000001,8 +0.000003,16 +0.000021,32 +0.000164,64 +0.001240,128 +0.009657,256 +0.072523,512 +0.735149,1024 +6.895747,2048 +56.812183,4096 diff --git a/buch/papers/multiplikation/code/meas/strassen.txt b/buch/papers/multiplikation/code/meas/strassen.txt new file mode 100644 index 0000000..89cf41a --- /dev/null +++ b/buch/papers/multiplikation/code/meas/strassen.txt @@ -0,0 +1,12 @@ +0.000000,2 +0.000003,4 +0.000010,8 +0.000086,16 +0.000476,32 +0.003366,64 +0.025547,128 +0.184593,256 +1.248713,512 +9.007700,1024 +61.079879,2048 +424.493037,4096 diff --git a/buch/papers/multiplikation/code/meas/test/4096/MM.txt b/buch/papers/multiplikation/code/meas/test/4096/MM.txt new file mode 100644 index 0000000..25e40e1 --- /dev/null +++ b/buch/papers/multiplikation/code/meas/test/4096/MM.txt @@ -0,0 +1,12 @@ +0.000000,2 +0.000000,4 +0.000002,8 +0.000011,16 +0.000100,32 +0.000712,64 +0.005498,128 +0.046711,256 +0.489233,512 +4.006544,1024 +124.427496,2048 +993.405615,4096 diff --git a/buch/papers/multiplikation/code/meas/test/4096/strassen.txt b/buch/papers/multiplikation/code/meas/test/4096/strassen.txt 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