File: t_SquareMatrix_lapack.py

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#! /usr/bin/env python

from __future__ import print_function
from openturns import *

TESTPREAMBLE()

try:
    matrix1 = SquareMatrix(2)
    matrix1.setName("matrix1")
    matrix1[0, 0] = 1.0
    matrix1[1, 0] = 2.0
    matrix1[0, 1] = 5.0
    matrix1[1, 1] = 12.0
    print("matrix1 = ", matrix1)

    pt = NumericalPoint()
    pt.add(5.0)
    pt.add(0.0)
    print("pt = ", pt)

    result = matrix1.solveLinearSystem(pt)
    print("result = ", result)

    determinant = matrix1.computeDeterminant()
    print("determinant = %.6g" % determinant)

    ev = matrix1.computeEigenValues()
    print("ev = ", ev)
    ev, evect = matrix1.computeEV()
    print("ev=", ev)
    print("evect=", evect)
    print("evect=")
    print(evect.__str__())

    # Check the high dimension determinant computation
    matrix2 = SquareMatrix(3)
    matrix2[0, 0] = 1.0
    matrix2[0, 1] = 2.0
    matrix2[0, 2] = 3.0
    matrix2[1, 0] = -1.5
    matrix2[1, 1] = 2.5
    matrix2[1, 2] = -3.5
    matrix2[2, 0] = 1.5
    matrix2[2, 1] = -3.5
    matrix2[2, 2] = 2.5

    print("matrix2=")
    print(matrix2.__str__())
    # Need a specific Python wrapping, e.g returning both value and sign
    # sign = 0.0
    # value = matrix2.computeLogAbsoluteDeterminant(sign)
    # print "log(|det|)=", value, ", sign=", sign
    determinant = matrix2.computeDeterminant()
    print("determinant = %.6g" % determinant)

except:
    import sys
    print("t_SquareMatrixLapack_std.py", sys.exc_info()[0], sys.exc_info()[1])