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authorJODBaer <JODBaer@github.com>2021-08-07 14:34:58 +0200
committerJODBaer <JODBaer@github.com>2021-08-07 14:34:58 +0200
commit2257ffca3c2ff48af74e5bbfb85b505feef6c1ab (patch)
tree7e3f85bc6e98a9a9a5d48642d7dd08cd35f4f2af /buch/papers/multiplikation/code
parentMerge pull request #64 from Kuehnee/master (diff)
parentplot-green (diff)
downloadSeminarMatrizen-2257ffca3c2ff48af74e5bbfb85b505feef6c1ab.tar.gz
SeminarMatrizen-2257ffca3c2ff48af74e5bbfb85b505feef6c1ab.zip
Merge remote-tracking branch 'origin/Baer'
Diffstat (limited to 'buch/papers/multiplikation/code')
-rwxr-xr-xbuch/papers/multiplikation/code/MMbin26848 -> 26848 bytes
-rwxr-xr-xbuch/papers/multiplikation/code/MM.c2
-rw-r--r--buch/papers/multiplikation/code/MM.py109
-rw-r--r--buch/papers/multiplikation/code/c_matrix.h114
-rw-r--r--buch/papers/multiplikation/code/c_meas_4096.pdfbin15865 -> 17448 bytes
-rw-r--r--buch/papers/multiplikation/code/meas/MM.txt24
-rw-r--r--buch/papers/multiplikation/code/meas/MM_dc.txt24
-rw-r--r--buch/papers/multiplikation/code/meas/blas.txt18
-rw-r--r--buch/papers/multiplikation/code/meas/strassen.txt20
-rw-r--r--buch/papers/multiplikation/code/meas/winograd.txt17
-rw-r--r--buch/papers/multiplikation/code/meas_1024.pdfbin17660 -> 18813 bytes
-rw-r--r--buch/papers/multiplikation/code/meas_1024.txt10
-rw-r--r--buch/papers/multiplikation/code/meas_128.pdfbin17961 -> 18120 bytes
-rw-r--r--buch/papers/multiplikation/code/meas_128.txt10
-rw-r--r--buch/papers/multiplikation/code/meas_256.pdfbin18067 -> 17715 bytes
-rw-r--r--buch/papers/multiplikation/code/meas_256.txt10
-rw-r--r--buch/papers/multiplikation/code/meas_32.pdfbin17078 -> 17964 bytes
-rw-r--r--buch/papers/multiplikation/code/meas_32.txt10
-rw-r--r--buch/papers/multiplikation/code/meas_4096.pdfbin0 -> 12952 bytes
-rw-r--r--buch/papers/multiplikation/code/meas_4096.txt0
-rw-r--r--buch/papers/multiplikation/code/meas_64.pdfbin17678 -> 17747 bytes
-rw-r--r--buch/papers/multiplikation/code/meas_64.txt10
22 files changed, 195 insertions, 183 deletions
diff --git a/buch/papers/multiplikation/code/MM b/buch/papers/multiplikation/code/MM
index f07985f..d52dda4 100755
--- a/buch/papers/multiplikation/code/MM
+++ b/buch/papers/multiplikation/code/MM
Binary files differ
diff --git a/buch/papers/multiplikation/code/MM.c b/buch/papers/multiplikation/code/MM.c
index 04c4dab..a897d4f 100755
--- a/buch/papers/multiplikation/code/MM.c
+++ b/buch/papers/multiplikation/code/MM.c
@@ -31,7 +31,7 @@ int main() {
run_algo(strassen, "strassen",0);
run_algo(MM, "MM", 0);
- // run_algo(winograd, "winograd", 0);
+ run_algo(winograd, "winograd", 0);
run_algo_cblas(0);
return 0;
diff --git a/buch/papers/multiplikation/code/MM.py b/buch/papers/multiplikation/code/MM.py
index 626b82d..7220ae1 100644
--- a/buch/papers/multiplikation/code/MM.py
+++ b/buch/papers/multiplikation/code/MM.py
@@ -132,6 +132,10 @@ def winograd2(A, B):
return C
def test_perfomance(n):
+
+ import mkl
+ mkl.set_num_threads(1)
+
t_mm = []
t_mm_dc = []
t_mm_strassen = []
@@ -144,21 +148,21 @@ def test_perfomance(n):
# A = np.random.randint(-100, 100,(i, i))
# B = np.random.randint(-100, 100,(i, i))
- start = time.time()
- C3 = strassen(A, B)
- t_mm_strassen.append(time.time() - start)
+ # start = time.time()
+ # C3 = strassen(A, B)
+ # t_mm_strassen.append(time.time() - start)
- start = time.time()
- C1 = MM(A, B)
- t_mm.append(time.time() - start)
+ # start = time.time()
+ # C1 = MM(A, B)
+ # t_mm.append(time.time() - start)
- start = time.time()
- C2 = MM_dc(A, B)
- t_mm_dc.append(time.time() - start)
+ # start = time.time()
+ # C2 = MM_dc(A, B)
+ # t_mm_dc.append(time.time() - start)
- start = time.time()
- C4 = winograd2(A, B)
- t_wino.append(time.time() - start)
+ # start = time.time()
+ # C4 = winograd2(A, B)
+ # t_wino.append(time.time() - start)
start = time.time()
C = A@B
@@ -169,22 +173,23 @@ def test_perfomance(n):
plt.rc('axes', labelsize=23)
plt.rc('xtick', labelsize=23)
plt.rc('ytick', labelsize=23)
- plt.plot(n, t_mm, label='Standard', lw=5)
- plt.plot(n, t_mm_dc, label='Divide and conquer', lw=5)
- plt.plot(n, t_mm_strassen, label='Strassen', lw=5)
- plt.plot(n, t_wino, label='Winograd', lw=5)
+ # plt.plot(n, t_mm, label='Standard', lw=5)
+ # plt.plot(n, t_mm_dc, label='Divide and conquer', lw=5)
+ # plt.plot(n, t_mm_strassen, label='Strassen', lw=5)
+ # plt.plot(n, t_wino, label='Winograd', lw=5)
plt.plot(n, t_np, label='NumPy A@B', lw=5)
+ # plt.xscale('log', base=2)
plt.legend()
plt.xlabel("n")
plt.ylabel("time (s)")
- plt.grid(True)
+ plt.grid(True, which="both", ls="-")
plt.tight_layout()
# plt.yscale('log')
plt.legend(fontsize=19)
- plt.savefig('meas_' + str(max(n))+ '.pdf')
- arr = np.array([n, t_mm, t_mm_dc, t_mm_strassen, t_wino, t_np])
- np.savetxt('meas_' + str(max(n))+ '.txt',arr)
- return arr
+ # plt.savefig('meas_' + str(max(n))+ '.pdf')
+ # arr = np.array([n, t_mm, t_mm_dc, t_mm_strassen, t_wino, t_np])
+ # np.savetxt('meas_' + str(max(n))+ '.txt',arr)
+ return t_np
def plot(num):
@@ -198,10 +203,11 @@ def plot(num):
plt.plot(n, t_mm, label='3 For Loops', lw=5)
plt.plot(n, t_mm_dc, label='Divide and Conquer', lw=5)
plt.plot(n, t_mm_strassen, label='Strassen', lw=5)
- # plt.plot(n, t_wino, label='Winograd', lw=5)
+ plt.plot(n, t_wino, label='Winograd', lw=5)
plt.plot(n, t_np, label='NumPy A@B', lw=5)
plt.legend()
plt.xlabel("n")
+ # plt.yscale('log', base=10)
plt.ylabel("time (s)")
plt.grid(True)
plt.tight_layout()
@@ -211,36 +217,37 @@ def plot(num):
return arr
def plot_c_res(ave, num):
+
MM = np.loadtxt("meas/MM.txt", delimiter=',')
- # winograd = np.loadtxt("meas/winograd.txt", delimiter=',')
+ winograd = np.loadtxt("meas/winograd.txt", delimiter=',')
blas = np.loadtxt("meas/blas.txt", delimiter=',')
MM_dc = np.loadtxt("meas/MM_dc.txt", delimiter=',')
strassen = np.loadtxt("meas/strassen.txt", delimiter=',')
MM_t = MM[:,0]
MM_n = MM[:,1]
- MM_t = np.mean(MM_t.reshape(-1,ave),axis=1)
- MM_n = np.mean(MM_n.reshape(-1,ave),axis=1)
+ # MM_t = np.mean(MM_t.reshape(-1,ave),axis=1)
+ # MM_n = np.mean(MM_n.reshape(-1,ave),axis=1)
MM_dc_t = MM_dc[:,0]
MM_dc_n = MM_dc[:,1]
- MM_dc_t = np.mean(MM_dc_t.reshape(-1,ave),axis=1)
- MM_dc_n = np.mean(MM_dc_n.reshape(-1,ave),axis=1)
+ # MM_dc_t = np.mean(MM_dc_t.reshape(-1,ave),axis=1)
+ # MM_dc_n = np.mean(MM_dc_n.reshape(-1,ave),axis=1)
strassen_t = strassen[:,0]
strassen_n = strassen[:,1]
- strassen_t = np.mean(strassen_t.reshape(-1,ave),axis=1)
- strassen_n = np.mean(strassen_n.reshape(-1,ave),axis=1)
+ # strassen_t = np.mean(strassen_t.reshape(-1,ave),axis=1)
+ # strassen_n = np.mean(strassen_n.reshape(-1,ave),axis=1)
- # winograd_t = winograd[:,0]
- # winograd_n = winograd[:,1]
+ winograd_t = winograd[:,0]
+ winograd_n = winograd[:,1]
# winograd_t = np.mean(winograd_t.reshape(-1,ave),axis=1)
# winograd_n = np.mean(winograd_n.reshape(-1,ave),axis=1)
blas_t = blas[:,0]
blas_n = blas[:,1]
- blas_t = np.mean(blas_t.reshape(-1,ave),axis=1)
- blas_n = np.mean(blas_n.reshape(-1,ave),axis=1)
+ # blas_t = np.mean(blas_t.reshape(-1,ave),axis=1)
+ # blas_n = np.mean(blas_n.reshape(-1,ave),axis=1)
def func(x, a,b):
return b*x**a
@@ -254,14 +261,16 @@ def plot_c_res(ave, num):
plt.rc('axes', labelsize=23)
plt.rc('xtick', labelsize=23)
plt.rc('ytick', labelsize=23)
- plt.plot(MM_n, MM_t, label='3 For Loops', lw=5)
- # plt.plot(winograd_n, winograd_t, label='Winograd MM', lw=5)
- plt.plot(blas_n, blas_t, label='Blas', lw=5)
- plt.plot(strassen_n, strassen_t, label='Strassen', lw=5)
- plt.plot(MM_dc_n, MM_dc_t, label='Divide and Conquer', lw=5)
+ plt.loglog(MM_n, MM_t, label='3 For Loops', lw=5)
+ plt.loglog(winograd_n, winograd_t, label='Winograd MM', lw=5)
+ plt.loglog(blas_n, blas_t, label='Blas', lw=5)
+ plt.loglog(strassen_n, strassen_t, label='Strassen', lw=5)
+ plt.loglog(MM_dc_n, MM_dc_t, label='Divide and Conquer', lw=5)
plt.xlabel("n")
+ # plt.yscale('log', base=10)
+ # plt.xscale('log', base=2)
plt.ylabel("time (s)")
- plt.grid(True)
+ plt.grid(True, which="both", ls="-")
plt.tight_layout()
plt.legend(fontsize=19)
plt.savefig('c_meas_' + str(num)+ '.pdf')
@@ -271,23 +280,25 @@ def plot_c_res(ave, num):
# plt.plot(blas_n, func(blas_n, *popt2), 'r-', label='fit MM: a=%5.5f, b=%5.10f' % tuple(popt2))
plt.legend()
-
+ # return [MM_n,winograd_n,blas_n,strassen_n,MM_dc_n]
+ return [MM_t,winograd_t,blas_t,strassen_t,MM_dc_t]
+
# test%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
if __name__ == '__main__':
- plot_c_res(1, 4096)
+ # A = plot_c_res(1, 4096)
- # plot(8)
- # n = np.logspace(1,10,10,base=2,dtype=(np.int))
+ arr = plot(1024)
+ # n = np.logspace(1,12,12,base=2,dtype=(np.int))
# n = np.arange(1,50,2)
- A = np.random.randint(-10, 10, (5,3))
- B = np.random.randint(-10, 10, (3,5))
+ # A = np.random.randint(-10, 6, (5,3))
+ # B = np.random.randint(-10, 6, (3,5))
- C = winograd2(A, B)
- C_test = A@B
- print(C)
- print(C_test)
+ # C = winograd2(A, B)
+ # C_test = A@B
+ # print(C)
+ # print(C_test)
# print(np.equal(C, C_test))
# t_np = test_perfomance(n)
diff --git a/buch/papers/multiplikation/code/c_matrix.h b/buch/papers/multiplikation/code/c_matrix.h
index 13df55d..14389fc 100644
--- a/buch/papers/multiplikation/code/c_matrix.h
+++ b/buch/papers/multiplikation/code/c_matrix.h
@@ -1,97 +1,97 @@
-/* Seminar Matrizen, autogenerated File, Michael Schmid, 30/05/2021, 22:00:57 */
+/* Seminar Matrizen, autogenerated File, Michael Schmid, 02/08/2021, 22:48:43 */
#include <stdint.h>
const int A0[][2] =
{
- {-15,68},
- {49,86}
+ {75,47},
+ {-41,-24}
};
const int B0[][2] =
{
- {33,73},
- {38,-76}
+ {-53,-95},
+ {-93,30}
};
const double dB0[][2] =
{
- {33,73},
- {38,-76}
+ {-53,-95},
+ {-93,30}
};
const double dA0[][2] =
{
- {-15,68},
- {49,86}
+ {75,47},
+ {-41,-24}
};
const int A1[][4] =
{
- {75,-38,-32,-65},
- {37,74,-31,29},
- {15,-62,-20,-20},
- {-31,-35,-89,47}
+ {47,11,-66,8},
+ {36,98,39,82},
+ {-32,12,40,-79},
+ {61,-20,-85,-98}
};
const int B1[][4] =
{
- {71,90,78,-98},
- {4,63,12,-47},
- {11,-44,75,-69},
- {95,-15,64,23}
+ {37,75,-53,9},
+ {37,-33,-67,38},
+ {70,39,-93,43},
+ {43,41,23,-4}
};
const double dB1[][4] =
{
- {71,90,78,-98},
- {4,63,12,-47},
- {11,-44,75,-69},
- {95,-15,64,23}
+ {37,75,-53,9},
+ {37,-33,-67,38},
+ {70,39,-93,43},
+ {43,41,23,-4}
};
const double dA1[][4] =
{
- {75,-38,-32,-65},
- {37,74,-31,29},
- {15,-62,-20,-20},
- {-31,-35,-89,47}
+ {47,11,-66,8},
+ {36,98,39,82},
+ {-32,12,40,-79},
+ {61,-20,-85,-98}
};
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}
+ {-54,-87,87,69,52,-21,-86,55},
+ {19,-75,-61,-50,-55,-23,66,-92},
+ {-73,-67,-36,19,84,-11,24,46},
+ {-98,62,-76,57,-100,6,-23,-51},
+ {62,46,1,-64,42,-9,85,-12},
+ {35,-59,-17,-47,78,86,-50,74},
+ {-15,45,33,-59,-9,-81,49,96},
+ {-57,22,-43,7,-30,-45,-5,13}
};
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}
+ {-71,-82,-80,-78,83,-97,48,-24},
+ {15,75,15,-60,-63,-53,1,-50},
+ {-84,63,67,-2,78,93,-13,95},
+ {61,-26,-88,56,56,27,26,1},
+ {2,54,21,36,9,-41,53,53},
+ {85,-11,42,-51,-6,3,27,97},
+ {10,-2,90,-76,-75,0,8,-37},
+ {10,-64,47,-69,66,-50,89,-66}
};
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}
+ {-71,-82,-80,-78,83,-97,48,-24},
+ {15,75,15,-60,-63,-53,1,-50},
+ {-84,63,67,-2,78,93,-13,95},
+ {61,-26,-88,56,56,27,26,1},
+ {2,54,21,36,9,-41,53,53},
+ {85,-11,42,-51,-6,3,27,97},
+ {10,-2,90,-76,-75,0,8,-37},
+ {10,-64,47,-69,66,-50,89,-66}
};
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}
+ {-54,-87,87,69,52,-21,-86,55},
+ {19,-75,-61,-50,-55,-23,66,-92},
+ {-73,-67,-36,19,84,-11,24,46},
+ {-98,62,-76,57,-100,6,-23,-51},
+ {62,46,1,-64,42,-9,85,-12},
+ {35,-59,-17,-47,78,86,-50,74},
+ {-15,45,33,-59,-9,-81,49,96},
+ {-57,22,-43,7,-30,-45,-5,13}
};
const int *Ap[3] = {(int*) A0,(int*) A1,(int*) A2};
const int *Bp[3] = {(int*) B0,(int*) B1,(int*) B2};
diff --git a/buch/papers/multiplikation/code/c_meas_4096.pdf b/buch/papers/multiplikation/code/c_meas_4096.pdf
index 547d794..5236afb 100644
--- a/buch/papers/multiplikation/code/c_meas_4096.pdf
+++ b/buch/papers/multiplikation/code/c_meas_4096.pdf
Binary files differ
diff --git a/buch/papers/multiplikation/code/meas/MM.txt b/buch/papers/multiplikation/code/meas/MM.txt
index 1a0cd5d..e296dd7 100644
--- a/buch/papers/multiplikation/code/meas/MM.txt
+++ b/buch/papers/multiplikation/code/meas/MM.txt
@@ -1,12 +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
+0.000001,2
+0.000001,4
+0.000001,8
+0.000010,16
+0.000081,32
+0.000654,64
+0.005556,128
+0.054253,256
+0.487317,512
+4.162845,1024
+125.909034,2048
+1111.312696,4096
diff --git a/buch/papers/multiplikation/code/meas/MM_dc.txt b/buch/papers/multiplikation/code/meas/MM_dc.txt
index 0d5580a..f6be928 100644
--- a/buch/papers/multiplikation/code/meas/MM_dc.txt
+++ b/buch/papers/multiplikation/code/meas/MM_dc.txt
@@ -1,12 +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
+0.000003,2
+0.000002,4
+0.000010,8
+0.000068,16
+0.000594,32
+0.004264,64
+0.036289,128
+0.324645,256
+2.612010,512
+19.928951,1024
+159.333884,2048
+1147.106865,4096
diff --git a/buch/papers/multiplikation/code/meas/blas.txt b/buch/papers/multiplikation/code/meas/blas.txt
index 6b7cd0b..92a61b9 100644
--- a/buch/papers/multiplikation/code/meas/blas.txt
+++ b/buch/papers/multiplikation/code/meas/blas.txt
@@ -1,12 +1,12 @@
0.000001,2
-0.000000,4
+0.000001,4
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
+0.000022,32
+0.000179,64
+0.001278,128
+0.010165,256
+0.074739,512
+0.704748,1024
+6.845095,2048
+55.845038,4096
diff --git a/buch/papers/multiplikation/code/meas/strassen.txt b/buch/papers/multiplikation/code/meas/strassen.txt
index 89cf41a..fdfbf2b 100644
--- a/buch/papers/multiplikation/code/meas/strassen.txt
+++ b/buch/papers/multiplikation/code/meas/strassen.txt
@@ -1,12 +1,12 @@
-0.000000,2
+0.000001,2
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
+0.000066,16
+0.000470,32
+0.003368,64
+0.024232,128
+0.172000,256
+1.209262,512
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