#! /usr/bin/env python

import openturns as ot
from openturns.testing import assert_almost_equal

ot.TESTPREAMBLE()

# TEST NUMBER ZERO : DEFAULT CONSTRUCTOR AND STRING CONVERTER
print("test number zero : default constructor and string converter")

# Default constructor
symmetricMatrix0 = ot.SymmetricMatrix()

# String converter
print("symmetricMatrix0 = ", repr(symmetricMatrix0))

# TEST NUMBER ONE : CONSTRUCTOR WITH SIZE, OPERATOR() AND STRING CONVERTER
print("test number one : constructor with size, operator() and string converter")

# Constructor with size
symmetricMatrix1 = ot.SymmetricMatrix(2)

# Check operator() methods
symmetricMatrix1[0, 0] = 1.0
symmetricMatrix1[1, 0] = 2.0
symmetricMatrix1[0, 1] = 3.0
symmetricMatrix1[1, 1] = 4.0

# String converter
print("symmetricMatrix1 = ", repr(symmetricMatrix1))

# TEST NUMBER TWO : COPY CONSTRUCTOR AND STRING CONVERTER
print("test number two : copy constructor and string converter")

# Copy constructor
symmetricMatrix2 = ot.SymmetricMatrix(symmetricMatrix1)

# String converter
print("symmetricMatrix2 = ", repr(symmetricMatrix2))

# TEST NUMBER THREE : GET DIMENSIONS METHODS
print("test number three : get dimensions methods")

# Get dimension methods
print("symmetricMatrix1's nbRows = ", symmetricMatrix1.getNbRows())
print("symmetricMatrix1's nbColumns = ", symmetricMatrix1.getNbColumns())

# TEST NUMBER FIVE : ASSIGNMENT METHOD
print("test number five : assignment method")

# Assignment method
# No sense with python

# TEST NUMBER SIX : TRANSPOSITION METHOD
print("test number six : transposition method")

# Check transpose method
symmetricMatrix4 = symmetricMatrix1.transpose()
print("symmetricMatrix1 transposed = ", repr(symmetricMatrix4))

# TEST NUMBER SEVEN : ADDITION METHOD
print("test number seven : addition method")

# Check addition method : we check the operator and the symmetry of the
# operator, thus testing the comparison operator
sum1 = symmetricMatrix1 + symmetricMatrix4
sum2 = symmetricMatrix4 + symmetricMatrix1
print("sum1 = ", repr(sum1))
print("sum2 = ", repr(sum2))
print("sum1 equals sum2 = ", sum1 == sum2)

# TEST NUMBER EIGHT : SUBTRACTION METHOD
print("test number eight : subtraction method")

# Check subtraction method
diff = symmetricMatrix1 - symmetricMatrix4
print("diff = ", repr(diff))

# TEST NUMBER NINE : MATRIX MULTIPLICATION METHOD
print("test number nine : matrix multiplication method")

# Check multiplication method
prod = symmetricMatrix1 * symmetricMatrix4
print("prod = ", repr(prod))

# TEST NUMBER TEN : MULTIPLICATION WITH A NUMERICAL POINT METHOD
print("test number ten : multiplication with a numerical point method")

# Create the numerical point
pt = ot.Point()
pt.add(1.0)
pt.add(2.0)
print("pt = ", repr(pt))

# Check the product method
ptResult = symmetricMatrix1 * pt
print("ptResult = ", repr(ptResult))

# TEST NUMBER ELEVEN : MULTIPLICATION AND DIVISION BY A NUMERICAL SCALAR
# METHODS
print("test number eleven : multiplication and division by a numerical scalar methods")

# Check the multiplication method
s = 3.0
scalprod1 = symmetricMatrix1 * s
# bug PYTHON scalprod2 = s * symmetricMatrix1
scalprod3 = symmetricMatrix1 * s
print("scalprod1 = ", repr(scalprod1))
# print  "scalprod2 = " , scalprod2
print("scalprod3 = ", repr(scalprod3))
# print  "scalprod1 equals scalprod2 = " , (scalprod1 == scalprod2)
print("scalprod1 equals scalprod3 = ", (scalprod1 == scalprod3))
# print  "scalprod2 equals scalprod3 = " , (scalprod2 == scalprod3)

# Check the division method
scaldiv1 = symmetricMatrix1 / s
scaldiv2 = symmetricMatrix1 / s
print("scaldiv1 = ", repr(scaldiv1))
print("scaldiv2 = ", repr(scaldiv2))
print("scaldiv1 equals scaldiv2 = ", (scaldiv1 == scaldiv2))

# TEST NUMBER TWELVE : ISEMPTY METHOD
print("test number twelve : isEmpty method")

# Check method isEmpty
symmetricMatrix5 = ot.SymmetricMatrix()
symmetricMatrix6 = ot.SymmetricMatrix()
print("symmetricMatrix0 is empty = ", symmetricMatrix0.isEmpty())
print("symmetricMatrix1 is empty = ", symmetricMatrix1.isEmpty())
print("symmetricMatrix5 is empty = ", symmetricMatrix5.isEmpty())

# Check inverse()
symmetricMatrix6 = ot.SymmetricMatrix(
    [[4.0, 2.0, 1.0], [2.0, 5.0, 3.0], [1.0, 3.0, 6.0]]
)
symmetricMatrix7 = symmetricMatrix6.inverse()
inverseReference = ot.SymmetricMatrix(
    [[21.0, -9.0, 1.0], [-9.0, 23.0, -10.0], [1.0, -10.0, 16.0]]
)
inverseReference /= 67.0
assert_almost_equal(symmetricMatrix7, inverseReference)