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ex1.py
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ex1.py
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# pylint: disable=missing-function-docstring, missing-module-docstring
# > Usage:
#
# pyccel test.py -t
# gfortran test.f90 -lblas -llapack
# ./a.out
# TODO: - assert
from pyccel.stdlib.internal.lapack import dgbtrf
from pyccel.stdlib.internal.lapack import dgbtrs
from pyccel.stdlib.internal.lapack import dgetrf
from pyccel.stdlib.internal.lapack import dgecon
from pyccel.stdlib.internal.lapack import dgetrs
from pyccel.stdlib.internal.lapack import dgetri
from numpy import zeros, int32
def test_1():
n = int32(25)
ml = int32(1)
mu = int32(1)
lda = int32(2 * ml + mu + 1)
a = zeros((lda,n), order='F')
b = zeros((1,n), order='F')
b[0] = 1.0
b[n-1] = 1.0
# Superdiagonal, Diagonal, Subdiagonal
m = ml + mu
a[m-1,1:n] = -1.0
a[ m,0:n] = 2.0
a[m+1,0:n-1] = -1.0
info = int32(-1)
ipiv = zeros(n, 'int32')
dgbtrf(n, n, ml, mu, a, lda, ipiv, info)
# assert(info == 0)
dgbtrs('n', n, ml, mu, int32(1), a, lda, ipiv, b, n, info)
# assert(info == 0)
def test_2():
n = int32(3)
lda = n
a = zeros((lda,n), order='F')
a[0,0] = 0.0
a[0,1] = 1.0
a[0,2] = 2.0
a[1,0] = 4.0
a[1,1] = 5.0
a[1,2] = 6.0
a[2,0] = 7.0
a[2,1] = 8.0
a[2,2] = 0.0
info = int32(-1)
ipiv = zeros(n, 'int32')
dgetrf(n, n, a, lda, ipiv, info)
# assert(info == 0)
iwork = zeros(n, 'int32')
lwork = int32(4 * n)
work = zeros(lwork)
# Get the condition number.
anorm = 1.0
rcond = -1.0
dgecon('I', n, a, lda, anorm, rcond, work, iwork, info)
# assert(info == 0)
def test_3():
n = int32(3)
lda = n
a = zeros((lda,n), order='F')
a[0,0] = 0.0
a[0,1] = 1.0
a[0,2] = 2.0
a[1,0] = 4.0
a[1,1] = 5.0
a[1,2] = 6.0
a[2,0] = 7.0
a[2,1] = 8.0
a[2,2] = 0.0
info = int32(-1)
ipiv = zeros(n, 'int32')
dgetrf(n, n, a, lda, ipiv, info)
# assert(info == 0)
lwork = int32(4 * n)
work = zeros(lwork)
# Compute the inverse matrix.
dgetri(n, a, lda, ipiv, work, lwork, info)
# assert(info == 0)
def test_4():
n = int32(3)
lda = n
a = zeros((lda,n), order='F')
a[0,0] = 0.0
a[0,1] = 1.0
a[0,2] = 2.0
a[1,0] = 4.0
a[1,1] = 5.0
a[1,2] = 6.0
a[2,0] = 7.0
a[2,1] = 8.0
a[2,2] = 0.0
info = int32(-1)
ipiv = zeros(n, 'int32')
dgetrf(n, n, a, lda, ipiv, info)
# assert(info == 0)
# Compute the inverse matrix.
b = zeros((1,n), order='F')
b[0] = 14.0
b[1] = 32.0
b[2] = 23.0
# Solve the linear system.
dgetrs('n', n, int32(1), a, lda, ipiv, b, n, info)
# assert(info == 0)
if __name__ == '__main__':
test_1()
test_2()
test_3()
test_4()