blob: d5a2f6f775df38dac24a06fd4ad4080137b18f74 [file] [log] [blame]
#!/usr/bin/python
from numpy import *
# functions used for generating input matrixes.
def bandGen(a, kl, ku):
if kl > 0:
for i in range(1 + kl, a.shape[0]):
for j in range(0, i - kl):
a[i, j] = 0
if ku > 0:
for i in range(0, a.shape[0]):
for j in range(ku + 1 + i, a.shape[1]):
a[i, j] = 0
return;
def triagGen(a, uplo):
if uplo == 'u': #upper = 1, lower = 2
for i in range(1, a.shape[0]):
for j in range(0, i):
a[i, j] = 0
elif uplo == 'l':
for i in range(0, a.shape[0]-1):
for j in range(i+1, a.shape[1]):
a[i, j] = 0
return;
def symm(a):
for i in range(1, a.shape[0]):
for j in range(0, i):
a[i, j] = a[j, i];
return;
def herm(a):
for i in range(0, a.shape[0]):
a[i,i] = complex(a[i,i].real, 0);
for i in range(1, a.shape[0]):
for j in range(0, i):
a[i, j] = complex(a[j, i].real, -a[j, i].imag);
return;
def zero(a):
for i in range(0, a.shape[0]):
for j in range(0, a.shape[1]):
a[i, j] = 0;
return;
def sMatGen(m, n, scale):
a = mat(random.randint(1, 10, size=(m, n)).astype('f4')/scale)
return a;
def dMatGen(m, n, scale):
a = mat(random.randint(1, 10, size=(m, n)).astype('f8')/scale)
return a;
def cMatGen(m, n, scale):
a_real = mat(random.randint(1, 10, size=(m, n)).astype('f4')/scale)
a_img = mat(random.randint(1, 10, size=(m, n)).astype('f4')/scale)
a = a_real + 1j * a_img
return a;
def zMatGen(m, n, scale):
a_real = mat(random.randint(1, 10, size=(m, n)).astype('f8')/scale)
a_img = mat(random.randint(1, 10, size=(m, n)).astype('f8')/scale)
a = a_real + 1j * a_img
return a;
def matrixCreateScale(dt, m, n, scale):
if dt == 's':
return sMatGen(m, n, scale);
elif dt == 'd':
return dMatGen(m, n, scale);
elif dt == 'c':
return cMatGen(m, n, scale);
else:
return zMatGen(m, n, scale);
return;
def matrixCreate(dt, m, n):
return matrixCreateScale(dt, m, n, 10);
def sDataWriter(a, name, skip, fo):
fo.write(" static float[] " + name + " = {");
for i in range(0, a.shape[0]):
for j in range(0, a.shape[1]):
fo.write(" " + str(a[i,j]) + "f,");
for hh in range(0, skip):
fo.write(" 0.0f,");
fo.write("\n");
for k in range(0, len(name) + 23):
fo.write(" ");
fo.write(" };\n")
return;
def dDataWriter(a, name, skip, fo):
fo.write(" static double[] " + name + " = {");
for i in range(0, a.shape[0]):
for j in range(0, a.shape[1]):
fo.write(" " + str(a[i,j]) + ",");
for hh in range(0, skip):
fo.write(" 0,");
fo.write("\n");
for k in range(0, len(name) + 24):
fo.write(" ");
fo.write(" };\n")
return;
def cDataWriter(a, name, skip, fo):
fo.write(" static float[] " + name + " = {");
for i in range(0, a.shape[0]):
for j in range(0, a.shape[1]):
fo.write(" " + str(real(a[i,j])) + "f,");
fo.write(" " + str(imag(a[i,j])) + "f,");
for hh in range(0, skip):
fo.write(" 0.0f,");
fo.write(" 0.0f,");
fo.write("\n");
for k in range(0, len(name) + 23):
fo.write(" ");
fo.write(" };\n")
return;
def zDataWriter(a, name, skip, fo):
fo.write(" static double[] " + name + " = {");
for i in range(0, a.shape[0]):
for j in range(0, a.shape[1]):
fo.write(" " + str(real(a[i,j])) + ",");
fo.write(" " + str(imag(a[i,j])) + ",");
for hh in range(0, skip):
fo.write(" 0,");
fo.write(" 0,");
fo.write("\n");
for k in range(0, len(name) + 24):
fo.write(" ");
fo.write(" };\n")
return;
def dataWriterInc(dt, a, name, skip, fo):
if dt == 's':
sDataWriter(a, name, skip, fo);
elif dt == 'd':
dDataWriter(a, name, skip, fo);
elif dt == 'c':
cDataWriter(a, name, skip, fo);
else:
zDataWriter(a, name, skip, fo);
return;
def dataWriter(dt, a, name, fo):
dataWriterInc(dt, a, name, 0, fo);
return;
def sApWriter(a, name, fo):
fo.write(" static float[] " + name + " = {");
for i in range(0, a.shape[0]):
for j in range(i, a.shape[1]):
fo.write(" " + str(a[i,j]) + "f,");
fo.write("\n");
for k in range(0, len(name) + 23):
fo.write(" ");
fo.write(" };\n")
return;
def dApWriter(a, name, fo):
fo.write(" static double[] " + name + " = {");
for i in range(0, a.shape[0]):
for j in range(i, a.shape[1]):
fo.write(" " + str(a[i,j]) + ",");
fo.write("\n");
for k in range(0, len(name) + 24):
fo.write(" ");
fo.write(" };\n")
return;
def cApWriter(a, name, fo):
fo.write(" static float[] " + name + " = {");
for i in range(0, a.shape[0]):
for j in range(i, a.shape[1]):
fo.write(" " + str(real(a[i,j])) + "f,");
fo.write(" " + str(imag(a[i,j])) + "f,");
fo.write("\n");
for k in range(0, len(name) + 23):
fo.write(" ");
fo.write(" };\n")
return;
def zApWriter(a, name, fo):
fo.write(" static double[] " + name + " = {");
for i in range(0, a.shape[0]):
for j in range(i, a.shape[1]):
fo.write(" " + str(real(a[i,j])) + ",");
fo.write(" " + str(imag(a[i,j])) + ",");
fo.write("\n");
for k in range(0, len(name) + 24):
fo.write(" ");
fo.write(" };\n")
return;
def apWriter(dt, a, name, fo):
if dt == 's':
sApWriter(a, name, fo);
elif dt == 'd':
dApWriter(a, name, fo);
elif dt == 'c':
cApWriter(a, name, fo);
else:
zApWriter(a, name, fo);
return;
def sGBandWriter(a, kl, ku, name, fo):
m = a.shape[0];
n = a.shape[1];
b = sMatGen(m, kl + ku + 1, 1);
zero(b);
for i in range(0, m):
for j in range(max(0, i-kl), min(i+ku+1, n)):
b[i, j-i+kl] = a[i, j]
sDataWriter(b, name, 0, fo);
zero(a);
for i in range(0, m):
for j in range(max(0, i-kl), min(i+ku+1, n)):
a[i, j] = b[i, j-i+kl]
return;
def dGBandWriter(a, kl, ku, name, fo):
m = a.shape[0];
n = a.shape[1];
b = dMatGen(m, kl + ku + 1, 1);
zero(b);
for i in range(0, m):
for j in range(max(0, i-kl), min(i+ku+1, n)):
b[i, j-i+kl] = a[i, j]
dDataWriter(b, name, 0, fo);
zero(a);
for i in range(0, m):
for j in range(max(0, i-kl), min(i+ku+1, n)):
a[i, j] = b[i, j-i+kl]
return;
def cGBandWriter(a, kl, ku, name, fo):
m = a.shape[0];
n = a.shape[1];
b = cMatGen(m, kl + ku + 1, 1);
zero(b);
for i in range(0, m):
for j in range(max(0, i-kl), min(i+ku+1, n)):
b[i, j-i+kl] = a[i, j]
cDataWriter(b, name, 0, fo);
zero(a);
for i in range(0, m):
for j in range(max(0, i-kl), min(i+ku+1, n)):
a[i, j] = b[i, j-i+kl]
return;
def zGBandWriter(a, kl, ku, name, fo):
m = a.shape[0];
n = a.shape[1];
b = zMatGen(m, kl + ku + 1, 1);
zero(b);
for i in range(0, m):
for j in range(max(0, i-kl), min(i+ku+1, n)):
b[i, j-i+kl] = a[i, j]
zDataWriter(b, name, 0, fo);
zero(a);
for i in range(0, m):
for j in range(max(0, i-kl), min(i+ku+1, n)):
a[i, j] = b[i, j-i+kl]
return;
def gBandWriter(dt, a, kl, ku, name, fo):
if dt == 's':
sGBandWriter(a, kl, ku, name, fo);
elif dt == 'd':
dGBandWriter(a, kl, ku, name, fo);
elif dt == 'c':
cGBandWriter(a, kl, ku, name, fo);
else:
zGBandWriter(a, kl, ku, name, fo);
return;
def sBandWriter(a, k, name, fo):
n = a.shape[1];
b = sMatGen(n, k+1, 1);
zero(b);
for i in range(0, n):
for j in range(i, min(i+k+1, n)):
b[i, j-i] = a[i, j]
sDataWriter(b, name, 0, fo);
zero(a);
for i in range(0, n):
for j in range(i, min(i+k+1, n)):
a[i, j] = b[i, j-i]
return;
def dBandWriter(a, k, name, fo):
n = a.shape[1];
b = dMatGen(n, k+1, 1);
zero(b);
for i in range(0, n):
for j in range(i, min(i+k+1, n)):
b[i, j-i] = a[i, j]
dDataWriter(b, name, 0, fo);
zero(a);
for i in range(0, n):
for j in range(i, min(i+k+1, n)):
a[i, j] = b[i, j-i]
return;
def cBandWriter(a, k, name, fo):
n = a.shape[1];
b = cMatGen(n, k+1, 1);
zero(b);
for i in range(0, n):
for j in range(i, min(i+k+1, n)):
b[i, j-i] = a[i, j]
cDataWriter(b, name, 0, fo);
zero(a);
for i in range(0, n):
for j in range(i, min(i+k+1, n)):
a[i, j] = b[i, j-i]
return;
def zBandWriter(a, k, name, fo):
n = a.shape[1];
b = zMatGen(n, k+1, 1);
zero(b);
for i in range(0, n):
for j in range(i, min(i+k+1, n)):
b[i, j-i] = a[i, j]
zDataWriter(b, name, 0, fo);
zero(a);
for i in range(0, n):
for j in range(i, min(i+k+1, n)):
a[i, j] = b[i, j-i]
return;
def bandWriter(dt, a, k, name, fo):
if dt == 's':
sBandWriter(a, k, name, fo);
elif dt == 'd':
dBandWriter(a, k, name, fo);
elif dt == 'c':
cBandWriter(a, k, name, fo);
else:
zBandWriter(a, k, name, fo);
return;
#L3 Functions
def L3_xGEMM(fo, alpha, beta, m, n, k):
dataType = ['s', 'd', 'c', 'z'];
for dt in dataType:
a = matrixCreate(dt, m, k);
b = matrixCreate(dt, k, n);
c = matrixCreate(dt, m, n);
dataWriter(dt, a, "L3_" + dt + "GEMM_A_mk", fo);
dataWriter(dt, b, "L3_" + dt + "GEMM_B_kn", fo);
dataWriter(dt, c, "L3_" + dt + "GEMM_C_mn", fo);
d = alpha * a * b + beta * c;
dataWriter(dt, d, "L3_" + dt + "GEMM_o_NN", fo);
a = matrixCreate(dt, k, m);
b = matrixCreate(dt, n, k);
dataWriter(dt, a, "L3_" + dt + "GEMM_A_km", fo);
dataWriter(dt, b, "L3_" + dt + "GEMM_B_nk", fo);
d = alpha * a.T * b.T + beta * c;
dataWriter(dt, d, "L3_" + dt + "GEMM_o_TT", fo);
d = alpha * a.H * b.H + beta * c;
dataWriter(dt, d, "L3_" + dt + "GEMM_o_HH", fo);
return
def L3_xSYMM(fo, alpha, beta, m, n):
dataType = ['s', 'd', 'c', 'z'];
for dt in dataType:
a = matrixCreate(dt, m, m);
symm(a);
dataWriter(dt, a, "L3_" + dt + "SYMM_A_mm", fo);
b = matrixCreate(dt, m, n);
c = matrixCreate(dt, m, n);
dataWriter(dt, b, "L3_" + dt + "SYMM_B_mn", fo);
dataWriter(dt, c, "L3_" + dt + "SYMM_C_mn", fo);
d = alpha * a * b + beta * c;
dataWriter(dt, d, "L3_" + dt + "SYMM_o_L", fo);
a = matrixCreate(dt, n, n);
symm(a);
dataWriter(dt, a, "L3_" + dt + "SYMM_A_nn", fo);
d = alpha * b * a + beta * c;
dataWriter(dt, d, "L3_" + dt + "SYMM_o_R", fo);
return
def L3_xHEMM(fo, alpha, beta, m, n):
dataType = ['c', 'z'];
for dt in dataType:
a = matrixCreate(dt, m, m);
herm(a);
dataWriter(dt, a, "L3_" + dt + "HEMM_A_mm", fo);
b = matrixCreate(dt, m, n);
c = matrixCreate(dt, m, n);
dataWriter(dt, b, "L3_" + dt + "HEMM_B_mn", fo);
dataWriter(dt, c, "L3_" + dt + "HEMM_C_mn", fo);
d = alpha * a * b + beta * c;
dataWriter(dt, d, "L3_" + dt + "HEMM_o_L", fo);
a = matrixCreate(dt, n, n);
herm(a);
dataWriter(dt, a, "L3_" + dt + "HEMM_A_nn", fo);
d = alpha * b * a + beta * c;
dataWriter(dt, d, "L3_" + dt + "HEMM_o_R", fo);
return
def L3_xSYRK(fo, alpha, beta, n, k):
dataType = ['s', 'd', 'c', 'z'];
for dt in dataType:
a = matrixCreate(dt, n, k);
dataWriter(dt, a, "L3_" + dt + "SYRK_A_nk", fo);
c = matrixCreate(dt, n, n);
symm(c);
dataWriter(dt, c, "L3_" + dt + "SYRK_C_nn", fo);
d = alpha * a * a.T + beta * c;
dataWriter(dt, d, "L3_" + dt + "SYRK_o_N", fo);
a = matrixCreate(dt, k, n);
dataWriter(dt, a, "L3_" + dt + "SYRK_A_kn", fo);
d = alpha * a.T * a + beta * c;
dataWriter(dt, d, "L3_" + dt + "SYRK_o_T", fo);
return
def L3_xHERK(fo, alpha, beta, n, k):
dataType = ['c', 'z'];
for dt in dataType:
a = matrixCreate(dt, n, k);
dataWriter(dt, a, "L3_" + dt + "HERK_A_nk", fo);
c = matrixCreate(dt, n, n);
herm(c);
dataWriter(dt, c, "L3_" + dt + "HERK_C_nn", fo);
d = alpha * a * a.H + beta * c;
dataWriter(dt, d, "L3_" + dt + "HERK_o_N", fo);
a = matrixCreate(dt, k, n);
dataWriter(dt, a, "L3_" + dt + "HERK_A_kn", fo);
d = alpha * a.H * a + beta * c;
dataWriter(dt, d, "L3_" + dt + "HERK_o_H", fo);
return
def L3_xSYR2K(fo, alpha, beta, n, k):
dataType = ['s', 'd', 'c', 'z'];
for dt in dataType:
a = matrixCreate(dt, n, k);
b = matrixCreate(dt, n, k);
dataWriter(dt, a, "L3_" + dt + "SYR2K_A_nk", fo);
dataWriter(dt, b, "L3_" + dt + "SYR2K_B_nk", fo);
c = matrixCreate(dt, n, n);
symm(c);
dataWriter(dt, c, "L3_" + dt + "SYR2K_C_nn", fo);
d = alpha * (a * b.T + b * a.T) + beta * c;
dataWriter(dt, d, "L3_" + dt + "SYR2K_o_N", fo);
a = matrixCreate(dt, k, n);
b = matrixCreate(dt, k, n);
dataWriter(dt, a, "L3_" + dt + "SYR2K_A_kn", fo);
dataWriter(dt, b, "L3_" + dt + "SYR2K_B_kn", fo);
d = alpha * (a.T * b + b.T * a) + beta * c;
dataWriter(dt, d, "L3_" + dt + "SYR2K_o_T", fo);
return
def L3_xHER2K(fo, alpha, beta, n, k):
dataType = ['c', 'z'];
for dt in dataType:
a = matrixCreate(dt, n, k);
b = matrixCreate(dt, n, k);
dataWriter(dt, a, "L3_" + dt + "HER2K_A_nk", fo);
dataWriter(dt, b, "L3_" + dt + "HER2K_B_nk", fo);
c = matrixCreate(dt, n, n);
herm(c);
dataWriter(dt, c, "L3_" + dt + "HER2K_C_nn", fo);
d = alpha * (a * b.H + b * a.H) + beta * c;
dataWriter(dt, d, "L3_" + dt + "HER2K_o_N", fo);
a = matrixCreate(dt, k, n);
b = matrixCreate(dt, k, n);
dataWriter(dt, a, "L3_" + dt + "HER2K_A_kn", fo);
dataWriter(dt, b, "L3_" + dt + "HER2K_B_kn", fo);
d = alpha * (a.H * b + b.H * a) + beta * c;
dataWriter(dt, d, "L3_" + dt + "HER2K_o_H", fo);
return
def L3_xTRMM(fo, alpha, m, n):
dataType = ['s', 'd', 'c', 'z'];
for dt in dataType:
a = matrixCreate(dt, m, m);
triagGen(a, 'u');
dataWriter(dt, a, "L3_" + dt + "TRMM_A_mm", fo);
b = matrixCreate(dt, m, n);
dataWriter(dt, b, "L3_" + dt + "TRMM_B_mn", fo);
d = alpha * a * b;
dataWriter(dt, d, "L3_" + dt + "TRMM_o_LUN", fo);
a = matrixCreate(dt, n, n);
triagGen(a, 'l');
dataWriter(dt, a, "L3_" + dt + "TRMM_A_nn", fo);
d = alpha * b * a.T;
dataWriter(dt, d, "L3_" + dt + "TRMM_o_RLT", fo);
return
def L3_xTRSM(fo, alpha, m, n):
dataType = ['s', 'd', 'c', 'z'];
for dt in dataType:
a = matrixCreateScale(dt, m, m, 1);
triagGen(a, 'u');
dataWriter(dt, a, "L3_" + dt + "TRSM_A_mm", fo);
b = matrixCreate(dt, m, n);
dataWriter(dt, b, "L3_" + dt + "TRSM_B_mn", fo);
d = alpha * (a.I * b);
dataWriter(dt, d, "L3_" + dt + "TRSM_o_LUN", fo);
a = matrixCreate(dt, n, n);
triagGen(a, 'l');
dataWriter(dt, a, "L3_" + dt + "TRSM_A_nn", fo);
d = alpha * (b * a.I.T);
dataWriter(dt, d, "L3_" + dt + "TRSM_o_RLT", fo);
return
#L2 Functions
def L2_xGEMV(fo, alpha, beta, m, n):
dataType = ['s', 'd', 'c', 'z'];
for dt in dataType:
a = matrixCreate(dt, m, n);
dataWriter(dt, a, "L2_" + dt + "GEMV_A_mn", fo);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "GEMV_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "GEMV_x_n2", 1, fo);
y = matrixCreate(dt, m, 1);
dataWriter(dt, y, "L2_" + dt + "GEMV_y_m1", fo);
dataWriterInc(dt, y, "L2_" + dt + "GEMV_y_m2", 1, fo);
d = alpha * a * x + beta * y;
dataWriter(dt, d, "L2_" + dt + "GEMV_o_N", fo);
dataWriterInc(dt, d, "L2_" + dt + "GEMV_o_N2", 1, fo);
d = alpha * a.T * y + beta * x;
dataWriter(dt, d, "L2_" + dt + "GEMV_o_T", fo);
d = alpha * a.H * y + beta * x;
dataWriter(dt, d, "L2_" + dt + "GEMV_o_H", fo);
return
def L2_xGBMV(fo, alpha, beta, m, n, kl, ku):
dataType = ['s', 'd', 'c', 'z'];
for dt in dataType:
a = matrixCreate(dt, m, n);
gBandWriter(dt, a, kl, ku, "L2_" + dt + "GBMV_A_mn", fo);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "GBMV_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "GBMV_x_n2", 1, fo);
y = matrixCreate(dt, m, 1);
dataWriter(dt, y, "L2_" + dt + "GBMV_y_m1", fo);
dataWriterInc(dt, y, "L2_" + dt + "GBMV_y_m2", 1, fo);
d = alpha * a * x + beta * y;
dataWriter(dt, d, "L2_" + dt + "GBMV_o_N", fo);
dataWriterInc(dt, d, "L2_" + dt + "GBMV_o_N2", 1, fo);
d = alpha * a.T * y + beta * x;
dataWriter(dt, d, "L2_" + dt + "GBMV_o_T", fo);
d = alpha * a.H * y + beta * x;
dataWriter(dt, d, "L2_" + dt + "GBMV_o_H", fo);
return
def L2_xHEMV(fo, alpha, beta, n):
dataType = ['c', 'z'];
for dt in dataType:
a = matrixCreate(dt, n, n);
herm(a);
dataWriter(dt, a, "L2_" + dt + "HEMV_A_nn", fo);
apWriter(dt, a, "L2_" + dt + "HEMV_A_nn_pu", fo);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "HEMV_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "HEMV_x_n2", 1, fo);
y = matrixCreate(dt, n, 1);
dataWriter(dt, y, "L2_" + dt + "HEMV_y_n1", fo);
dataWriterInc(dt, y, "L2_" + dt + "HEMV_y_n2", 1, fo);
d = alpha * a * x + beta * y;
dataWriter(dt, d, "L2_" + dt + "HEMV_o_N", fo);
dataWriterInc(dt, d, "L2_" + dt + "HEMV_o_N2", 1, fo);
return
def L2_xHBMV(fo, alpha, beta, n, k):
dataType = ['c', 'z'];
for dt in dataType:
a = matrixCreate(dt, n, n);
herm(a);
bandWriter(dt, a, k, "L2_" + dt + "HBMV_A_nn", fo);
herm(a);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "HBMV_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "HBMV_x_n2", 1, fo);
y = matrixCreate(dt, n, 1);
dataWriter(dt, y, "L2_" + dt + "HBMV_y_n1", fo);
dataWriterInc(dt, y, "L2_" + dt + "HBMV_y_n2", 1, fo);
d = alpha * a * x + beta * y;
dataWriter(dt, d, "L2_" + dt + "HBMV_o_N", fo);
dataWriterInc(dt, d, "L2_" + dt + "HBMV_o_N2", 1, fo);
return
def L2_xHPMV(fo, alpha, beta, n):
dataType = ['c', 'z'];
# the same as HEMV, just A is in compact shape.
return
def L2_xSYMV(fo, alpha, beta, n):
dataType = ['s', 'd'];
for dt in dataType:
a = matrixCreate(dt, n, n);
symm(a);
dataWriter(dt, a, "L2_" + dt + "SYMV_A_nn", fo);
apWriter(dt, a, "L2_" + dt + "SYMV_A_nn_pu", fo);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "SYMV_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "SYMV_x_n2", 1, fo);
y = matrixCreate(dt, n, 1);
dataWriter(dt, y, "L2_" + dt + "SYMV_y_n1", fo);
dataWriterInc(dt, y, "L2_" + dt + "SYMV_y_n2", 1, fo);
d = alpha * a * x + beta * y;
dataWriter(dt, d, "L2_" + dt + "SYMV_o_N", fo);
dataWriterInc(dt, d, "L2_" + dt + "SYMV_o_N2", 1, fo);
return
def L2_xSBMV(fo, alpha, beta, n, k):
dataType = ['s', 'd'];
for dt in dataType:
a = matrixCreate(dt, n, n);
symm(a);
bandWriter(dt, a, k, "L2_" + dt + "SBMV_A_nn", fo);
symm(a);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "SBMV_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "SBMV_x_n2", 1, fo);
y = matrixCreate(dt, n, 1);
dataWriter(dt, y, "L2_" + dt + "SBMV_y_n1", fo);
dataWriterInc(dt, y, "L2_" + dt + "SBMV_y_n2", 1, fo);
d = alpha * a * x + beta * y;
dataWriter(dt, d, "L2_" + dt + "SBMV_o_N", fo);
dataWriterInc(dt, d, "L2_" + dt + "SBMV_o_N2", 1, fo);
return
def L2_xSPMV(fo, alpha, beta, n):
dataType = ['s', 'd'];
# the same as SYMV, just A is in compact shape.
return
def L2_xTRMV(fo, n):
dataType = ['s', 'd', 'c', 'z'];
for dt in dataType:
a = matrixCreate(dt, n, n);
triagGen(a, 'u');
dataWriter(dt, a, "L2_" + dt + "TRMV_A_nn", fo);
apWriter(dt, a, "L2_" + dt + "TRMV_A_nn_pu", fo);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "TRMV_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "TRMV_x_n2", 1, fo);
d = a * x;
dataWriter(dt, d, "L2_" + dt + "TRMV_o_UN", fo);
dataWriterInc(dt, d, "L2_" + dt + "TRMV_o_UN2", 1, fo);
d = a.T * x;
dataWriter(dt, d, "L2_" + dt + "TRMV_o_UT", fo);
d = a.H * x;
dataWriter(dt, d, "L2_" + dt + "TRMV_o_UH", fo);
return
def L2_xTBMV(fo, n, k):
dataType = ['s', 'd', 'c', 'z'];
for dt in dataType:
a = matrixCreate(dt, n, n);
bandWriter(dt, a, k, "L2_" + dt + "TBMV_A_nn", fo);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "TBMV_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "TBMV_x_n2", 1, fo);
d = a * x;
dataWriter(dt, d, "L2_" + dt + "TBMV_o_UN", fo);
dataWriterInc(dt, d, "L2_" + dt + "TBMV_o_UN2", 1, fo);
d = a.T * x;
dataWriter(dt, d, "L2_" + dt + "TBMV_o_UT", fo);
d = a.H * x;
dataWriter(dt, d, "L2_" + dt + "TBMV_o_UH", fo);
return
def L2_xTPMV(fo, n):
dataType = ['s', 'd', 'c', 'z'];
# the same as TRMV, just A is in compact shape.
return
def L2_xTRSV(fo, n):
dataType = ['s', 'd', 'c', 'z'];
for dt in dataType:
a = matrixCreateScale(dt, n, n, 0.25);
triagGen(a, 'u');
dataWriter(dt, a, "L2_" + dt + "TRSV_A_nn", fo);
apWriter(dt, a, "L2_" + dt + "TRSV_A_nn_pu", fo);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "TRSV_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "TRSV_x_n2", 1, fo);
d = a.I * x;
dataWriter(dt, d, "L2_" + dt + "TRSV_o_UN", fo);
dataWriterInc(dt, d, "L2_" + dt + "TRSV_o_UN2", 1, fo);
d = a.I.T * x;
dataWriter(dt, d, "L2_" + dt + "TRSV_o_UT", fo);
d = a.I.H * x;
dataWriter(dt, d, "L2_" + dt + "TRSV_o_UH", fo);
return
def L2_xTBSV(fo, n, k):
dataType = ['s', 'd', 'c', 'z'];
for dt in dataType:
a = matrixCreateScale(dt, n, n, 0.25);
bandWriter(dt, a, k, "L2_" + dt + "TBSV_A_nn", fo);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "TBSV_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "TBSV_x_n2", 1, fo);
d = a.I * x;
dataWriter(dt, d, "L2_" + dt + "TBSV_o_UN", fo);
dataWriterInc(dt, d, "L2_" + dt + "TBSV_o_UN2", 1, fo);
d = a.I.T * x;
dataWriter(dt, d, "L2_" + dt + "TBSV_o_UT", fo);
d = a.I.H * x;
dataWriter(dt, d, "L2_" + dt + "TBSV_o_UH", fo);
return
def L2_xTPSV(fo, n):
dataType = ['s', 'd', 'c', 'z'];
# the same as TRSV, just A is in compact shape.
return
def L2_xGER(fo, alpha, m, n):
dataType = ['s', 'd'];
for dt in dataType:
a = matrixCreate(dt, m, n);
dataWriter(dt, a, "L2_" + dt + "GER_A_mn", fo);
x = matrixCreate(dt, m, 1);
dataWriter(dt, x, "L2_" + dt + "GER_x_m1", fo);
dataWriterInc(dt, x, "L2_" + dt + "GER_x_m2", 1, fo);
y = matrixCreate(dt, n, 1);
dataWriter(dt, y, "L2_" + dt + "GER_y_n1", fo);
dataWriterInc(dt, y, "L2_" + dt + "GER_y_n2", 1, fo);
d = alpha * x * y.T + a;
dataWriter(dt, d, "L2_" + dt + "GER_o_N", fo);
return
def L2_xGERU(fo, alpha, m, n):
dataType = ['c', 'z'];
for dt in dataType:
a = matrixCreate(dt, m, n);
dataWriter(dt, a, "L2_" + dt + "GERU_A_mn", fo);
x = matrixCreate(dt, m, 1);
dataWriter(dt, x, "L2_" + dt + "GERU_x_m1", fo);
dataWriterInc(dt, x, "L2_" + dt + "GERU_x_m2", 1, fo);
y = matrixCreate(dt, n, 1);
dataWriter(dt, y, "L2_" + dt + "GERU_y_n1", fo);
dataWriterInc(dt, y, "L2_" + dt + "GERU_y_n2", 1, fo);
d = alpha * x * y.T + a;
dataWriter(dt, d, "L2_" + dt + "GERU_o_N", fo);
return
def L2_xGERC(fo, alpha, m, n):
dataType = ['c', 'z'];
for dt in dataType:
a = matrixCreate(dt, m, n);
dataWriter(dt, a, "L2_" + dt + "GERC_A_mn", fo);
x = matrixCreate(dt, m, 1);
dataWriter(dt, x, "L2_" + dt + "GERC_x_m1", fo);
dataWriterInc(dt, x, "L2_" + dt + "GERC_x_m2", 1, fo);
y = matrixCreate(dt, n, 1);
dataWriter(dt, y, "L2_" + dt + "GERC_y_n1", fo);
dataWriterInc(dt, y, "L2_" + dt + "GERC_y_n2", 1, fo);
d = alpha * x * y.H + a;
dataWriter(dt, d, "L2_" + dt + "GERC_o_N", fo);
return
def L2_xHER(fo, alpha, n):
dataType = ['c', 'z'];
for dt in dataType:
a = matrixCreate(dt, n, n);
herm(a);
dataWriter(dt, a, "L2_" + dt + "HER_A_nn", fo);
apWriter(dt, a, "L2_" + dt + "HER_A_nn_pu", fo);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "HER_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "HER_x_n2", 1, fo);
d = alpha * x * x.H + a;
dataWriter(dt, d, "L2_" + dt + "HER_o_N", fo);
apWriter(dt, d, "L2_" + dt + "HER_o_N_pu", fo);
return
def L2_xHPR(fo, alpha, n):
dataType = ['c', 'z'];
# the same as HER, just A is in compact shape.
return
def L2_xHER2(fo, alpha, n):
dataType = ['c', 'z'];
for dt in dataType:
a = matrixCreate(dt, n, n);
herm(a);
dataWriter(dt, a, "L2_" + dt + "HER2_A_nn", fo);
apWriter(dt, a, "L2_" + dt + "HER2_A_nn_pu", fo);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "HER2_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "HER2_x_n2", 1, fo);
y = matrixCreate(dt, n, 1);
dataWriter(dt, y, "L2_" + dt + "HER2_y_n1", fo);
dataWriterInc(dt, y, "L2_" + dt + "HER2_y_n2", 1, fo);
d = alpha * x * y.H + y * (alpha * x.H) + a;
dataWriter(dt, d, "L2_" + dt + "HER2_o_N", fo);
apWriter(dt, d, "L2_" + dt + "HER2_o_N_pu", fo);
return
def L2_xHPR2(fo, alpha, n):
dataType = ['c', 'z'];
# the same as HER2, just A is in compact shape.
return
def L2_xSYR(fo, alpha, n):
dataType = ['s', 'd'];
for dt in dataType:
a = matrixCreate(dt, n, n);
dataWriter(dt, a, "L2_" + dt + "SYR_A_nn", fo);
apWriter(dt, a, "L2_" + dt + "SYR_A_nn_pu", fo);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "SYR_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "SYR_x_n2", 1, fo);
d = alpha * x * x.T + a;
dataWriter(dt, d, "L2_" + dt + "SYR_o_N", fo);
apWriter(dt, d, "L2_" + dt + "SYR_o_N_pu", fo);
return
def L2_xSPR(fo, alpha, n):
dataType = ['s', 'd'];
# the same as SPR, just A is in compact shape.
return
def L2_xSYR2(fo, alpha, n):
dataType = ['s', 'd'];
for dt in dataType:
a = matrixCreate(dt, n, n);
dataWriter(dt, a, "L2_" + dt + "SYR2_A_nn", fo);
apWriter(dt, a, "L2_" + dt + "SYR2_A_nn_pu", fo);
x = matrixCreate(dt, n, 1);
dataWriter(dt, x, "L2_" + dt + "SYR2_x_n1", fo);
dataWriterInc(dt, x, "L2_" + dt + "SYR2_x_n2", 1, fo);
y = matrixCreate(dt, n, 1);
dataWriter(dt, y, "L2_" + dt + "SYR2_y_n1", fo);
dataWriterInc(dt, y, "L2_" + dt + "SYR2_y_n2", 1, fo);
d = alpha * x * y.T + y * (alpha * x.T) + a;
dataWriter(dt, d, "L2_" + dt + "SYR2_o_N", fo);
apWriter(dt, d, "L2_" + dt + "SYR2_o_N_pu", fo);
return
def L2_xSPR2(fo, alpha, n):
dataType = ['s', 'd'];
# the same as SPR2, just A is in compact shape.
return
def testBLASL2L3(fo):
m = random.randint(15, 25);
n = random.randint(15, 25);
k = random.randint(15, 25);
kl = random.randint(1, 5);
ku = random.randint(1, 5);
alpha = 1.0;
beta = 1.0;
fo.write(" static int dM = " + str(m) + ';\n');
fo.write(" static int dN = " + str(n) + ';\n');
fo.write(" static int dK = " + str(k) + ';\n');
fo.write('\n');
fo.write(" static int KL = " + str(kl) + ';\n');
fo.write(" static int KU = " + str(ku) + ';\n');
fo.write('\n');
fo.write(" static double ALPHA = " + str(alpha) + ';\n');
fo.write(" static double BETA = " + str(beta) + ';\n');
fo.write('\n');
L2_xGEMV(fo, alpha, beta, m, n);
L2_xGBMV(fo, alpha, beta, m, n, kl, ku);
L2_xHEMV(fo, alpha, beta, n);
L2_xHBMV(fo, alpha, beta, n, kl);
L2_xHPMV(fo, alpha, beta, n);
L2_xSYMV(fo, alpha, beta, n);
L2_xSBMV(fo, alpha, beta, n, kl);
L2_xSPMV(fo, alpha, beta, n);
L2_xTRMV(fo, n);
L2_xTBMV(fo, n, kl);
L2_xTPMV(fo, n);
L2_xTRSV(fo, n);
L2_xTBSV(fo, n, kl);
L2_xTPSV(fo, n);
L2_xGER(fo, alpha, m, n);
L2_xGERU(fo, alpha, m, n);
L2_xGERC(fo, alpha, m, n);
L2_xHER(fo, alpha, n);
L2_xHPR(fo, alpha, n);
L2_xHER2(fo, alpha, n);
L2_xHPR2(fo, alpha, n);
L2_xSYR(fo, alpha, n);
L2_xSPR(fo, alpha, n);
L2_xSYR2(fo, alpha, n);
L2_xSPR2(fo, alpha, n);
L3_xGEMM(fo, alpha, beta, m, n, k);
L3_xSYMM(fo, alpha, beta, m, n);
L3_xHEMM(fo, alpha, beta, m, n);
L3_xSYRK(fo, alpha, beta, n, k);
L3_xHERK(fo, alpha, beta, n, k);
L3_xSYR2K(fo, alpha, beta, n, k);
L3_xHER2K(fo, alpha, beta, n, k);
L3_xTRMM(fo, alpha, m, n);
L3_xTRSM(fo, alpha, m, n);
return;
def javaDataGen():
fo = open("BLASData.java", "w+")
fo.write("/*\n");
fo.write(" * Copyright (C) 2015 The Android Open Source Project\n");
fo.write(" *\n");
fo.write(" * Licensed under the Apache License, Version 2.0 (the \"License\");\n");
fo.write(" * you may not use this file except in compliance with the License.\n");
fo.write(" * You may obtain a copy of the License at\n");
fo.write(" *\n");
fo.write(" * http://www.apache.org/licenses/LICENSE-2.0\n");
fo.write(" *\n");
fo.write(" * Unless required by applicable law or agreed to in writing, software\n");
fo.write(" * distributed under the License is distributed on an \"AS IS\" BASIS,\n");
fo.write(" * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n");
fo.write(" * See the License for the specific language governing permissions and\n");
fo.write(" * limitations under the License.\n");
fo.write(" */\n");
fo.write("\n");
fo.write("/* Don't edit this file! It is auto-generated by blas_gen.py. */\n");
fo.write("\n");
fo.write("package android.renderscript.cts;\n");
fo.write("\n");
fo.write("public class BLASData {\n");
#data body
testBLASL2L3(fo);
fo.write("}\n");
fo.close()
return;
javaDataGen();