def cchol(p):
print("********\nTEST cchol"+p+"\n")
ablock = vsip.create('cblock'+p,(200,vsip.VSIP_MEM_NONE))
R = vsip.create('cmview'+p,(4,4,vsip.VSIP_ROW,vsip.VSIP_MEM_NONE))
RH = vsip.create('cmview'+p,(4,4,vsip.VSIP_ROW,vsip.VSIP_MEM_NONE))
A = vsip.bind(ablock,(40,-9,4,-2,4))
B = vsip.bind(ablock,(100,10,4,3,3))
chol = vsip.create('cchol'+p,(vsip.VSIP_TR_UPP,4))
ans = vsip.create('cmview'+p,(4,3,vsip.VSIP_ROW,vsip.VSIP_MEM_NONE))
data_R = [ [1.0, -2.0, 3.0, 1.0],
[0.0, 2.0, 4.0, -1.0],
[0.0, 0.0, 4.0, 3.0],
[0.0, 0.0, 0.0, 6.0] ]
data_I = [ [0.0, 2.0, 2.0, 1.0],
[0.0, 0.0, 2.0, -4.0],
[0.0, 0.0, 0.0, 2.0],
[0.0, 0.0, 0.0, 0.0] ]
data_Br = [ [1.0, 2.0, 3.0],
[0.0, 1.0, 2.0],
[3.0, 0.0, 1.0],
[3.0, 4.0, 5.0]]
data_Bi = [ [1.0, 0.5, 3.2],
[2.0, 0.0, 0.6],
[0.6, 2.0, 0.0],
[5.0, 7.0, 8.0]]
data_ans_r = [ [13.6236, 27.5451, 43.1573],
[-0.1104, 5.2370, 3.3312],
[-0.8403, -1.9410, -2.9823],
[ 0.7000, 0.8125, 1.7375] ]
data_ans_i = [ [19.4965, 5.3707, 40.9604],
[ 6.7292, 5.4896, 15.8781],
[-1.4021, -0.3776, -2.9688],
[0.3694, -0.1632, 0.4667] ]
for i in range(4):
for j in range(4):
vsip.put(R,(i,j),vsip.complexToCscalar('cscalar'+p,(data_R[i][j] + 1j * data_I[i][j])))
for i in range(4):
for j in range(3):
vsip.put(B,(i,j),vsip.complexToCscalar('cscalar'+p,(data_Br[i][j] + 1j * data_Bi[i][j])))
vsip.put(ans,(i,j),vsip.complexToCscalar('cscalar'+p,(data_ans_r[i][j] + 1j * data_ans_i[i][j])))
vsip.herm(R,RH)
vsip.prod(RH,R,A)
print("R = \n");VU.mprint(R,"%4.2f")
print("RH = \n");VU.mprint(RH,"%4.2f")
print("A = R * RH\n");VU.mprint(A,"%4.2f")
print("B \n");VU.mprint(B,"%4.2f")
vsip.chold(chol,A)
vsip.cholsol(chol,B)
print("Solve using cholesky AX = B\n X = \n");VU.mprint(B,"%4.2f")
vsip.destroy(chol)
print("right answer \n ans = \n");VU.mprint(ans,"%4.2f")
vsip.sub(ans,B,B)
chk = vsip.meansqval(B)
if chk > .001:
print("error\n")
else:
print("correct\n")
lu = vsip.create('clu'+p,4)
Bans = vsip.create('cmview'+p,(4,3,vsip.VSIP_ROW,vsip.VSIP_MEM_NONE))
vsip.prod(RH,R,A)
for i in range(4):
for j in range(3):
vsip.put(B,(i,j),vsip.complexToCscalar('cscalar'+p,(data_Br[i][j] + 1j * data_Bi[i][j])))
vsip.lud(lu,A)
vsip.lusol(lu,vsip.VSIP_MAT_NTRANS,B)
print("Solve using LUD AX = B\n X = \n");VU.mprint(B,"%4.2f")
vsip.destroy(lu)
vsip.prod(RH,R,A)
vsip.prod(A,B,Bans)
print("Bans = A X \n");VU.mprint(Bans,"%4.2f")
vsip.sub(ans,B,B)
chk = vsip.meansqval(B)
if chk > .001:
print("error\n")
else:
print("correct\n")
vsip.allDestroy(Bans)
vsip.allDestroy(R)
vsip.allDestroy(RH)
vsip.destroy(B)
vsip.allDestroy(A)
def chol(p):
print("********\nTEST chol"+p+"\n")
ablock = vsip.create('block'+p,(200,vsip.VSIP_MEM_NONE))
R = vsip.create('mview'+p,(4,4,vsip.VSIP_ROW,vsip.VSIP_MEM_NONE))
RH = vsip.create('mview'+p,(4,4,vsip.VSIP_ROW,vsip.VSIP_MEM_NONE))
A = vsip.bind(ablock,(99,-11,4,-2,4))
B = vsip.bind(ablock,(100,20,4,2,3))
ans = vsip.create('mview'+p,(4,3,vsip.VSIP_ROW,vsip.VSIP_MEM_NONE))
chol = vsip.create('chol'+p,(vsip.VSIP_TR_UPP,4))
data_R = [ [1.0, -2.0, 3.0, 1.0],
[0.0, 2.0, 4.0, -1.0],
[0.0, 0.0, 4.0, 3.0],
[0.0, 0.0, 0.0, 6.0] ]
data_Br = [ [ 1.0, 2.0, 3.0],
[ 0.0, 1.0, 2.0],
[ 3.0, 0.0, 1.0],
[ 3.0, 4.0, 5.0]]
data_ans = [[ 4.6250, 13.9062, 21.0000],
[ 1.3333, 4.1667, 6.3333],
[ -0.3750, -1.3438, -2.0000],
[ 0.1667, 0.4583, 0.6667]]
for i in range(4):
for j in range(4):
vsip.put(R,(i,j),data_R[i][j])
for i in range(4):
for j in range(3):
vsip.put(B,(i,j),data_Br[i][j])
vsip.put(ans,(i,j),data_ans[i][j])
vsip.trans(R,RH)
vsip.prod(RH,R,A)
print("R = \n");VU.mprint(R,"%4.2f")
print("RH = \n");VU.mprint(RH,"%4.2f")
print("A = R * RH\n");VU.mprint(A,"%4.2f")
print("B \n");VU.mprint(B,"%4.2f")
vsip.chold(chol,A)
vsip.cholsol(chol,B)
print("Solve using cholesky AX = B\n X = \n");VU.mprint(B,"%4.2f")
vsip.destroy(chol)
print("right answer \n ans = \n");VU.mprint(ans,"%4.2f")
vsip.sub(ans,B,B)
chk = vsip.sumsqval(B)
if chk > .001:
print("error\n")
else:
print("correct\n")
lu = vsip.create('lu'+p,4)
Bans = vsip.create('mview'+p,(4,3,vsip.VSIP_ROW,vsip.VSIP_MEM_NONE))
vsip.prod(RH,R,A)
for i in range(4):
for j in range(3):
vsip.put(B,(i,j),data_Br[i][j])
vsip.lud(lu,A)
vsip.lusol(lu,vsip.VSIP_MAT_NTRANS,B)
print("Solve using LUD AX = B\n X = \n");VU.mprint(B,"%4.2f")
vsip.destroy(lu)
vsip.prod(RH,R,A)
vsip.prod(A,B,Bans)
print("Bans = A X\n");VU.mprint(Bans,"%4.2f")
vsip.sub(ans,B,B)
chk = vsip.sumsqval(B)
if chk > .001:
print("error\n")
else:
print("correct\n")
vsip.allDestroy(Bans)
vsip.allDestroy(R)
vsip.allDestroy(RH)
vsip.destroy(B)
vsip.allDestroy(A)
def clud(p):
def cmplx(p, re, im):
return eval('vsip_cmplx' + p + '(re,im)')
def csub(p, a, b):
return eval('vsip_csub' + p + '(a,b)')
def cmag(p, a):
return eval('vsip_cmag' + p + '(a)')
"""
Usage is clud(p) where p is a string of either '_d' or '_f' to denote precision.
only works for complex data.
"""
print('********\nTEST clud' + p + '\n')
block = vsip.create('cblock' + p, (600, vsip.VSIP_MEM_NONE))
AC = vsip.bind(block, (0, 7, 7, 1, 7))
AG = vsip.bind(block, (175, -2, 7, -18, 7))
IC = vsip.bind(block, (176, 1, 7, 7, 7))
IG = vsip.bind(block, (226, 2, 7, 15, 7))
B = vsip.bind(block, (335, 7, 7, 1, 7))
A = vsip.bind(block, (385, 7, 7, 1, 7))
X = vsip.bind(block, (434, 5, 7, 1, 3))
Y = vsip.bind(block, (475, 3, 7, 1, 3))
ludC = vsip.create('clu' + p, 7)
ludG = vsip.create('clu' + p, 7)
data_r = [ \
[0.5, 7.0, 10.0, 12.0, -3.0, 0.0, 0.05], \
[2.0, 13.0, 18.0, 6.0, 0.0, 130.0, 8.0], \
[3.0, -9.0, 2.0, 3.0, 2.0, -9.0, 6.0], \
[4.0, 2.0, 2.0, 4.0, 1.0, 2.0, 3.0], \
[0.2, 2.0, 9.0, 4.0, 1.0, 2.0, 3.0], \
[0.1, 2.0, 0.3, 4.0, 1.0, 2.0, 3.0], \
[0.0, 0.2, 3.0, 4.0, 1.0, 2.0, 3.0]]
data_i = [
[0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1], \
[0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1], \
[0.1, 0.1, 0.1, 0.2, 0.2,-0.2, 0.2], \
[0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2], \
[0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.3], \
[0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4], \
[0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4]]
ydata_r = [ \
[77.85, 155.70, 311.40], \
[942.00, 1884.00, 3768.00], \
[1.00, 2.00, 4.00], \
[68.00, 136.00, 272.00], \
[85.20, 170.40, 340.80], \
[59.00, 118.00, 236.00], \
[5.00, 18.00, 6.00]]
ydata_i = [ \
[4.5, 1.70, -3.40], \
[3.7, 184.00, -2.00], \
[1.00, 3.00, 2.00], \
[68.00, 16.00, 272.00], \
[85.20, 1170.40, 340.80], \
[59.00, 18.50, 62.00], \
[59.00, 11.60, 26.00]]
Ident = [ \
[1, 0, 0, 0, 0, 0, 0], \
[0, 1, 0, 0, 0, 0, 0], \
[0, 0, 1, 0, 0, 0, 0], \
[0, 0, 0, 1, 0, 0, 0], \
[0, 0, 0, 0, 1, 0, 0], \
[0, 0, 0, 0, 0, 1, 0], \
[0, 0, 0, 0, 0, 0, 1]]
AH = vsip.create('cmview' + p, (7, 7, vsip.VSIP_ROW, vsip.VSIP_MEM_NONE))
for i in range(7):
for j in range(7):
a = cmplx(p, data_r[i][j], data_i[i][j])
e = cmplx(p, Ident[i][j], 0.0)
vsip.put(A, (i, j), a)
vsip.put(AC, (i, j), a)
vsip.put(AG, (i, j), a)
vsip.put(IC, (i, j), e)
vsip.put(IG, (i, j), e)
for i in range(7):
for j in range(3):
a = cmplx(p, ydata_r[i][j], ydata_i[i][j])
vsip.put(X, (i, j), a)
vsip.herm(A, AH)
print("Matrix A = \n")
VU.mprint(A, '%7.2f')
vsip.lud(ludC, AC)
vsip.lud(ludG, AG)
print("vsip_clusol(lud,vsip.VSIP_MAT_NTRANS,X)\n")
print("Solve A X = I \n")
vsip.lusol(ludC, vsip.VSIP_MAT_NTRANS, IC)
vsip.lusol(ludG, vsip.VSIP_MAT_NTRANS, IG)
print("for compact case X = \n")
VU.mprint(IC, '%8.4f')
print("for general case X = \n")
VU.mprint(IG, '%8.4f')
chk = 0
for i in range(7):
for j in range(7):
chk += cmag(p, csub(p, vsip.get(IC, (i, j)), vsip.get(IG, (i, j))))
if chk > .01:
print("error\n")
else:
print("agree\n")
vsip.prod(A, IC, B)
chk = 0
for i in range(7):
for j in range(7):
chk += cmag(
p, csub(p, vsip.get(B, (i, j)), cmplx(p, Ident[i][j], 0.0)))
vsip.prod(A, IG, B)
for i in range(7):
for j in range(7):
chk += cmag(
p, csub(p, vsip.get(B, (i, j)), cmplx(p, Ident[i][j], 0.0)))
print("mprod(A,X) = \n")
VU.mprint(B, '%8.3f')
if chk > .01:
print("error\n")
else:
print("correct\n")
# check case VSIP_MAT_HERM
print("Matrix Hermitian A = \n")
VU.mprint(AH, '%7.2f')
for i in range(7):
for j in range(7):
vsip.put(IC, (i, j), cmplx(p, Ident[i][j], 0.0))
vsip.put(IG, (i, j), cmplx(p, Ident[i][j], 0.0))
print("vsip_clusol(lud,vsip.VSIP_MAT_HERM,X)\n")
print("Solve herm(A) X = I \n")
vsip.lusol(ludC, vsip.VSIP_MAT_HERM, IC)
vsip.lusol(ludG, vsip.VSIP_MAT_HERM, IG)
print("for compact case X = \n")
VU.mprint(IC, '%8.4f')
print("for general case X = \n")
VU.mprint(IG, '%8.4f')
chk = 0
for i in range(7):
for j in range(7):
chk += cmag(p, csub(p, vsip.get(IC, (i, j)), vsip.get(IG, (i, j))))
chk += cmag(p, csub(p, vsip.get(IC, (i, j)), vsip.get(IG, (i, j))))
if chk > .01:
print("error\n")
else:
print("agree\n")
vsip.prod(AH, IC, B)
chk = 0
for i in range(7):
for j in range(7):
chk += cmag(
p, csub(p, vsip.get(B, (i, j)), cmplx(p, Ident[i][j], 0.0)))
vsip.prod(AH, IG, B)
for i in range(7):
for j in range(7):
chk += cmag(
p, csub(p, vsip.get(B, (i, j)), cmplx(p, Ident[i][j], 0.0)))
print("mprod(trans(A),X) = \n")
VU.mprint(B, '%8.3f')
if chk > .01:
print("error\n")
else:
print("correct\n")
# check case A X = B for VSIP_MAT_NTRANS
print("check A X = Y; VSIP_MAT_NTRANS\n")
print("Y = \n")
VU.mprint(X, "%8.4f")
vsip.lusol(ludC, vsip.VSIP_MAT_NTRANS, X)
print("X = \n")
VU.mprint(X, "%8.4f")
vsip.prod(A, X, Y)
print(" Y = A X\n")
VU.mprint(Y, "%8.4f")
chk = 0
for i in range(7):
for j in range(3):
chk += cmag(
p,
csub(p, vsip.get(Y, (i, j)),
cmplx(p, ydata_r[i][j], ydata_i[i][j])))
if (chk > .01):
print("error\n")
else:
print("agree\n")
for i in range(7):
for j in range(3):
vsip.put(X, (i, j), cmplx(p, ydata_r[i][j], ydata_i[i][j]))
print("Y = \n")
VU.mprint(X, '%8.4f')
vsip.lusol(ludG, vsip.VSIP_MAT_HERM, X)
vsip.prod(AH, X, Y)
print("X = \n")
VU.mprint(X, '%8.4f')
print("Y = trans(A) X\n")
VU.mprint(Y, '%8.4f')
chk = 0
for i in range(7):
for j in range(3):
chk += cmag(
p,
csub(p, vsip.get(Y, (i, j)),
cmplx(p, ydata_r[i][j], ydata_i[i][j])))
if (chk > .02):
print("error\n")
else:
print("agree\n")
vsip.destroy(AC)
vsip.destroy(AG)
vsip.destroy(IC)
vsip.destroy(IG)
vsip.destroy(B)
vsip.destroy(A)
vsip.destroy(X)
vsip.destroy(Y)
vsip.allDestroy(AH)
vsip.destroy(ludC)
vsip.destroy(ludG)
def lud(p):
"""
Usage is lud(p) where p is a string of either '_d' or '_f' to denote precision.
only works for real data.
"""
print('********\nTEST lud' + p + '\n')
block = vsip.create('block' + p, (500, vsip.VSIP_MEM_NONE))
AC = vsip.bind(block, (0, 6, 6, 1, 6))
AG = vsip.bind(block, (36, 2, 6, 18, 6))
IC = vsip.bind(block, (150, 1, 6, 6, 6))
IG = vsip.bind(block, (200, 2, 6, 14, 6))
B = vsip.bind(block, (300, 6, 6, 1, 6))
A = vsip.bind(block, (350, 6, 6, 1, 6))
X = vsip.bind(block, (400, 5, 6, 1, 3))
Y = vsip.bind(block, (450, 3, 6, 1, 3))
ludC = vsip.create('lu' + p, 6)
ludG = vsip.create('lu' + p, 6)
AT = vsip.transview(A)
data = [[0.50, 7.00, 10.00, 12.00, -3.00, 0.00],
[2.00, 13.00, 18.00, 6.00, 0.00, 130.00],
[3.00, -9.00, 2.00, 3.00, 2.00, -9.00],
[4.00, 2.00, 2.00, 4.00, 1.00, 2.00],
[0.20, 2.00, 9.00, 4.00, 1.00, 2.00],
[0.10, 2.00, 0.30, 4.00, 1.00, 2.00]]
ydata = [[77.85, 155.70, 311.40], [942.00, 1884.00, 3768.00],
[1.00, 2.00, 4.00], [68.00, 136.00, 272.00],
[85.20, 170.40, 340.80], [59.00, 118.00, 236.00]]
Ident = [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1]]
for i in range(6):
for j in range(6):
vsip.put(A, (i, j), data[i][j])
vsip.put(AC, (i, j), data[i][j])
vsip.put(AG, (i, j), data[i][j])
vsip.put(IC, (i, j), Ident[i][j])
vsip.put(IG, (i, j), Ident[i][j])
for i in range(6):
for j in range(3):
vsip.put(X, (i, j), ydata[i][j])
print("Matrix A = \n")
VU.mprint(A, '%7.2f')
vsip.lud(ludC, AC)
vsip.lud(ludG, AG)
print("vsip_lusol(lud,vsip.VSIP_MAT_NTRANS,X)\n")
print("Solve A X = I \n")
vsip.lusol(ludC, vsip.VSIP_MAT_NTRANS, IC)
vsip.lusol(ludG, vsip.VSIP_MAT_NTRANS, IG)
print("for compact case X = \n")
VU.mprint(IC, '%8.4f')
print("for general case X = \n")
VU.mprint(IG, '%8.4f')
chk = 0
for i in range(6):
for j in range(6):
chk += abs(vsip.get(IC, (i, j)) - vsip.get(IG, (i, j)))
if chk > .01:
print("error\n")
else:
print("agree\n")
vsip.prod(A, IC, B)
chk = 0
for i in range(6):
for j in range(6):
chk += abs(vsip.get(B, (i, j)) - Ident[i][j])
vsip.prod(A, IG, B)
for i in range(6):
for j in range(6):
chk += abs(vsip.get(B, (i, j)) - Ident[i][j])
print("mprod(A,X) = \n")
VU.mprint(B, '%8.3f')
if chk > .01:
print("error\n")
else:
print("correct\n")
print("Matrix Transpose A = \n")
VU.mprint(AT, '%7.2f')
for i in range(6):
for j in range(6):
vsip.put(IC, (i, j), Ident[i][j])
vsip.put(IG, (i, j), Ident[i][j])
print("vsip_lusol(lud,vsip.VSIP_MAT_TRANS,X)\n")
print("Solve trans(A) X = I \n")
vsip.lusol(ludC, vsip.VSIP_MAT_TRANS, IC)
vsip.lusol(ludG, vsip.VSIP_MAT_TRANS, IG)
print("for compact case X = \n")
VU.mprint(IC, '%8.4f')
print("for general case X = \n")
VU.mprint(IG, '%8.4f')
chk = 0
for i in range(6):
for j in range(6):
chk += abs(vsip.get(IC, (i, j)) - vsip.get(IG, (i, j)))
if chk > .01:
print("error\n")
else:
print("agree\n")
vsip.prod(AT, IC, B)
chk = 0
for i in range(6):
for j in range(6):
chk += abs(vsip.get(B, (i, j)) - Ident[i][j])
vsip.prod(AT, IG, B)
for i in range(6):
for j in range(6):
chk += abs(vsip.get(B, (i, j)) - Ident[i][j])
print("mprod(trans(A),X) = \n")
VU.mprint(B, '%8.3f')
if chk > .01:
print("error\n")
else:
print("correct\n")
print("check A X = Y; vsip.VSIP_MAT_NTRANS\n")
print("Y = \n")
VU.mprint(X, '%8.4f')
vsip.lusol(ludC, vsip.VSIP_MAT_NTRANS, X)
print("X = \n")
VU.mprint(X, '%8.4f')
vsip.prod(A, X, Y)
print(" Y = A X\n")
VU.mprint(Y, '%8.4f')
chk = 0
for i in range(6):
for j in range(3):
chk += abs(vsip.get(Y, (i, j)) - ydata[i][j])
if chk > .01:
print("error\n")
else:
print("agree\n")
for i in range(6):
for j in range(3):
vsip.put(X, (i, j), ydata[i][j])
print("Y = \n")
VU.mprint(X, '%8.4f')
vsip.lusol(ludG, vsip.VSIP_MAT_TRANS, X)
vsip.prod(AT, X, Y)
print("X = \n")
VU.mprint(X, '%8.4f')
print("Y = trans(A) X\n")
VU.mprint(Y, '%8.4f')
chk = 0
for i in range(6):
for j in range(3):
chk += abs(vsip.get(Y, (i, j)) - ydata[i][j])
if (chk > .01):
print("error\n")
else:
print("agree\n")
vsip.destroy(AC)
vsip.destroy(AG)
vsip.destroy(IC)
vsip.destroy(IG)
vsip.destroy(B)
vsip.destroy(A)
vsip.destroy(X)
vsip.destroy(Y)
vsip.allDestroy(AT)
vsip.destroy(ludC)
vsip.destroy(ludG)
def clud(p):
def cmplx(p,re,im):
return eval('vsip_cmplx'+p+'(re,im)')
def csub(p,a,b):
return eval('vsip_csub'+p+'(a,b)')
def cmag(p,a):
return eval('vsip_cmag'+p+'(a)')
"""
Usage is clud(p) where p is a string of either '_d' or '_f' to denote precision.
only works for complex data.
"""
print('********\nTEST clud'+p+'\n')
block = vsip.create('cblock'+p,(600,vsip.VSIP_MEM_NONE))
AC = vsip.bind(block,(0,7,7,1,7))
AG = vsip.bind(block,(175,-2,7,-18,7))
IC = vsip.bind(block,(176,1,7,7,7))
IG = vsip.bind(block,(226,2,7,15,7))
B = vsip.bind(block,(335,7,7,1,7))
A = vsip.bind(block,(385,7,7,1,7))
X = vsip.bind(block,(434,5,7,1,3))
Y = vsip.bind(block,(475,3,7,1,3))
ludC = vsip.create('clu'+p,7)
ludG = vsip.create('clu'+p,7)
data_r = [ \
[0.5, 7.0, 10.0, 12.0, -3.0, 0.0, 0.05], \
[2.0, 13.0, 18.0, 6.0, 0.0, 130.0, 8.0], \
[3.0, -9.0, 2.0, 3.0, 2.0, -9.0, 6.0], \
[4.0, 2.0, 2.0, 4.0, 1.0, 2.0, 3.0], \
[0.2, 2.0, 9.0, 4.0, 1.0, 2.0, 3.0], \
[0.1, 2.0, 0.3, 4.0, 1.0, 2.0, 3.0], \
[0.0, 0.2, 3.0, 4.0, 1.0, 2.0, 3.0]];
data_i = [
[0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1], \
[0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1], \
[0.1, 0.1, 0.1, 0.2, 0.2,-0.2, 0.2], \
[0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2], \
[0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.3], \
[0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4], \
[0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4]];
ydata_r = [ \
[77.85, 155.70, 311.40], \
[942.00, 1884.00, 3768.00], \
[1.00, 2.00, 4.00], \
[68.00, 136.00, 272.00], \
[85.20, 170.40, 340.80], \
[59.00, 118.00, 236.00], \
[5.00, 18.00, 6.00]];
ydata_i = [ \
[4.5, 1.70, -3.40], \
[3.7, 184.00, -2.00], \
[1.00, 3.00, 2.00], \
[68.00, 16.00, 272.00], \
[85.20, 1170.40, 340.80], \
[59.00, 18.50, 62.00], \
[59.00, 11.60, 26.00]];
Ident = [ \
[1, 0, 0, 0, 0, 0, 0], \
[0, 1, 0, 0, 0, 0, 0], \
[0, 0, 1, 0, 0, 0, 0], \
[0, 0, 0, 1, 0, 0, 0], \
[0, 0, 0, 0, 1, 0, 0], \
[0, 0, 0, 0, 0, 1, 0], \
[0, 0, 0, 0, 0, 0, 1]];
AH = vsip.create('cmview'+p,(7,7,vsip.VSIP_ROW,vsip.VSIP_MEM_NONE));
for i in range(7):
for j in range(7):
a=cmplx(p,data_r[i][j],data_i[i][j])
e=cmplx(p,Ident[i][j],0.0)
vsip.put(A, (i,j),a)
vsip.put(AC,(i,j),a)
vsip.put(AG,(i,j),a)
vsip.put(IC,(i,j),e)
vsip.put(IG,(i,j),e)
for i in range(7):
for j in range(3):
a=cmplx(p,ydata_r[i][j],ydata_i[i][j])
vsip.put(X,(i,j),a)
vsip.herm(A,AH)
print("Matrix A = \n");VU.mprint(A,'%7.2f')
vsip.lud(ludC,AC); vsip.lud(ludG,AG)
print("vsip_clusol(lud,vsip.VSIP_MAT_NTRANS,X)\n")
print("Solve A X = I \n")
vsip.lusol(ludC,vsip.VSIP_MAT_NTRANS,IC)
vsip.lusol(ludG,vsip.VSIP_MAT_NTRANS,IG)
print("for compact case X = \n");VU.mprint(IC,'%8.4f')
print("for general case X = \n");VU.mprint(IG,'%8.4f')
chk = 0
for i in range(7):
for j in range(7):
chk += cmag(p,csub(p,vsip.get(IC,(i,j)),vsip.get(IG,(i,j))))
if chk > .01:
print("error\n")
else:
print("agree\n")
vsip.prod(A,IC,B)
chk = 0
for i in range(7):
for j in range(7):
chk += cmag(p,csub(p,vsip.get(B,(i,j)),cmplx(p,Ident[i][j],0.0)))
vsip.prod(A,IG,B)
for i in range(7):
for j in range(7):
chk += cmag(p,csub(p,vsip.get(B,(i,j)),cmplx(p,Ident[i][j],0.0)))
print("mprod(A,X) = \n"); VU.mprint(B,'%8.3f')
if chk > .01:
print("error\n")
else:
print("correct\n")
# check case VSIP_MAT_HERM
print("Matrix Hermitian A = \n");VU.mprint(AH,'%7.2f')
for i in range(7):
for j in range(7):
vsip.put(IC,(i,j),cmplx(p,Ident[i][j],0.0))
vsip.put(IG,(i,j),cmplx(p,Ident[i][j],0.0))
print("vsip_clusol(lud,vsip.VSIP_MAT_HERM,X)\n")
print("Solve herm(A) X = I \n")
vsip.lusol(ludC,vsip.VSIP_MAT_HERM,IC)
vsip.lusol(ludG,vsip.VSIP_MAT_HERM,IG)
print("for compact case X = \n");VU.mprint(IC,'%8.4f')
print("for general case X = \n");VU.mprint(IG,'%8.4f')
chk = 0
for i in range(7):
for j in range(7):
chk += cmag(p,csub(p,vsip.get(IC,(i,j)),vsip.get(IG,(i,j))))
chk += cmag(p,csub(p,vsip.get(IC,(i,j)),vsip.get(IG,(i,j))))
if chk > .01:
print("error\n")
else:
print("agree\n")
vsip.prod(AH,IC,B)
chk = 0
for i in range(7):
for j in range(7):
chk += cmag(p,csub(p,vsip.get(B,(i,j)),cmplx(p,Ident[i][j],0.0)))
vsip.prod(AH,IG,B)
for i in range(7):
for j in range(7):
chk += cmag(p,csub(p,vsip.get(B,(i,j)),cmplx(p,Ident[i][j],0.0)))
print("mprod(trans(A),X) = \n"); VU.mprint(B,'%8.3f')
if chk > .01:
print("error\n")
else:
print("correct\n")
# check case A X = B for VSIP_MAT_NTRANS
print("check A X = Y; VSIP_MAT_NTRANS\n")
print("Y = \n");VU.mprint(X,"%8.4f")
vsip.lusol(ludC,vsip.VSIP_MAT_NTRANS,X)
print("X = \n"); VU.mprint(X,"%8.4f")
vsip.prod(A,X,Y)
print(" Y = A X\n");VU.mprint(Y,"%8.4f")
chk = 0;
for i in range(7):
for j in range(3):
chk += cmag(p,csub(p,vsip.get(Y,(i,j)),cmplx(p,ydata_r[i][j],ydata_i[i][j])))
if (chk > .01):
print("error\n")
else:
print("agree\n")
for i in range(7):
for j in range(3):
vsip.put(X,(i,j),cmplx(p,ydata_r[i][j],ydata_i[i][j]))
print("Y = \n");VU.mprint(X,'%8.4f')
vsip.lusol(ludG,vsip.VSIP_MAT_HERM,X)
vsip.prod(AH,X,Y)
print("X = \n");VU.mprint(X,'%8.4f')
print("Y = trans(A) X\n");VU.mprint(Y,'%8.4f')
chk = 0
for i in range(7):
for j in range(3):
chk += cmag(p,csub(p,vsip.get(Y,(i,j)),cmplx(p,ydata_r[i][j],ydata_i[i][j])))
if (chk > .02):
print("error\n")
else:
print("agree\n")
vsip.destroy(AC)
vsip.destroy(AG)
vsip.destroy(IC)
vsip.destroy(IG)
vsip.destroy(B)
vsip.destroy(A)
vsip.destroy(X)
vsip.destroy(Y)
vsip.allDestroy(AH)
vsip.destroy(ludC)
vsip.destroy(ludG)
def lud(p):
"""
Usage is lud(p) where p is a string of either '_d' or '_f' to denote precision.
only works for real data.
"""
print('********\nTEST lud'+p+'\n')
block = vsip.create('block'+p,(500,vsip.VSIP_MEM_NONE))
AC = vsip.bind(block,(0,6,6,1,6))
AG = vsip.bind(block,(36,2,6,18,6))
IC = vsip.bind(block,(150,1,6,6,6))
IG = vsip.bind(block,(200,2,6,14,6))
B = vsip.bind(block,(300,6,6,1,6))
A = vsip.bind(block,(350,6,6,1,6))
X = vsip.bind(block,(400,5,6,1,3))
Y = vsip.bind(block,(450,3,6,1,3))
ludC = vsip.create('lu'+p,6)
ludG = vsip.create('lu'+p,6)
AT = vsip.transview(A)
data= [ [0.50, 7.00, 10.00, 12.00, -3.00, 0.00],
[2.00, 13.00, 18.00, 6.00, 0.00, 130.00],
[3.00, -9.00, 2.00, 3.00, 2.00, -9.00],
[4.00, 2.00, 2.00, 4.00, 1.00, 2.00],
[0.20, 2.00, 9.00, 4.00, 1.00, 2.00],
[0.10, 2.00, 0.30, 4.00, 1.00, 2.00]]
ydata= [[ 77.85, 155.70, 311.40],
[ 942.00, 1884.00, 3768.00],
[ 1.00, 2.00, 4.00],
[ 68.00, 136.00, 272.00],
[ 85.20, 170.40, 340.80],
[ 59.00, 118.00, 236.00]]
Ident = [[1, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 1]]
for i in range(6):
for j in range(6):
vsip.put(A, (i,j),data[i][j])
vsip.put(AC,(i,j),data[i][j])
vsip.put(AG,(i,j),data[i][j])
vsip.put(IC,(i,j),Ident[i][j])
vsip.put(IG,(i,j),Ident[i][j])
for i in range(6):
for j in range(3):
vsip.put(X,(i,j),ydata[i][j])
print("Matrix A = \n");VU.mprint(A,'%7.2f')
vsip.lud(ludC,AC); vsip.lud(ludG,AG)
print("vsip_lusol(lud,vsip.VSIP_MAT_NTRANS,X)\n")
print("Solve A X = I \n")
vsip.lusol(ludC,vsip.VSIP_MAT_NTRANS,IC)
vsip.lusol(ludG,vsip.VSIP_MAT_NTRANS,IG)
print("for compact case X = \n");VU.mprint(IC,'%8.4f')
print("for general case X = \n");VU.mprint(IG,'%8.4f')
chk = 0
for i in range(6):
for j in range(6):
chk += abs(vsip.get(IC,(i,j)) - vsip.get(IG,(i,j)))
if chk > .01:
print("error\n")
else:
print("agree\n")
vsip.prod(A,IC,B)
chk = 0
for i in range(6):
for j in range(6):
chk += abs(vsip.get(B,(i,j)) - Ident[i][j])
vsip.prod(A,IG,B)
for i in range(6):
for j in range(6):
chk += abs(vsip.get(B,(i,j)) - Ident[i][j])
print("mprod(A,X) = \n"); VU.mprint(B,'%8.3f')
if chk > .01:
print("error\n")
else:
print("correct\n")
print("Matrix Transpose A = \n");VU.mprint(AT,'%7.2f')
for i in range(6):
for j in range(6):
vsip.put(IC,(i,j),Ident[i][j])
vsip.put(IG,(i,j),Ident[i][j])
print("vsip_lusol(lud,vsip.VSIP_MAT_TRANS,X)\n")
print("Solve trans(A) X = I \n")
vsip.lusol(ludC,vsip.VSIP_MAT_TRANS,IC)
vsip.lusol(ludG,vsip.VSIP_MAT_TRANS,IG)
print("for compact case X = \n");VU.mprint(IC,'%8.4f')
print("for general case X = \n");VU.mprint(IG,'%8.4f')
chk = 0
for i in range(6):
for j in range(6):
chk += abs(vsip.get(IC,(i,j)) - vsip.get(IG,(i,j)))
if chk > .01:
print("error\n")
else:
print("agree\n")
vsip.prod(AT,IC,B)
chk = 0
for i in range(6):
for j in range(6):
chk += abs(vsip.get(B,(i,j)) - Ident[i][j])
vsip.prod(AT,IG,B)
for i in range(6):
for j in range(6):
chk += abs(vsip.get(B,(i,j)) - Ident[i][j])
print("mprod(trans(A),X) = \n"); VU.mprint(B,'%8.3f')
if chk > .01:
print("error\n")
else:
print("correct\n")
print("check A X = Y; vsip.VSIP_MAT_NTRANS\n")
print("Y = \n");VU.mprint(X,'%8.4f')
vsip.lusol(ludC,vsip.VSIP_MAT_NTRANS,X)
print("X = \n"); VU.mprint(X,'%8.4f')
vsip.prod(A,X,Y)
print(" Y = A X\n");VU.mprint(Y,'%8.4f')
chk = 0
for i in range(6):
for j in range(3):
chk += abs(vsip.get(Y,(i,j)) - ydata[i][j])
if chk > .01:
print("error\n")
else :
print("agree\n")
for i in range(6):
for j in range(3):
vsip.put(X,(i,j),ydata[i][j])
print("Y = \n");VU.mprint(X,'%8.4f')
vsip.lusol(ludG,vsip.VSIP_MAT_TRANS,X)
vsip.prod(AT,X,Y)
print("X = \n");VU.mprint(X,'%8.4f')
print("Y = trans(A) X\n");VU.mprint(Y,'%8.4f')
chk = 0
for i in range(6):
for j in range(3):
chk += abs(vsip.get(Y,(i,j)) - ydata[i][j])
if (chk > .01):
print("error\n")
else:
print("agree\n")
vsip.destroy(AC)
vsip.destroy(AG)
vsip.destroy(IC)
vsip.destroy(IG)
vsip.destroy(B)
vsip.destroy(A)
vsip.destroy(X)
vsip.destroy(Y)
vsip.allDestroy(AT)
vsip.destroy(ludC)
vsip.destroy(ludG)