Unit Tests: Small Matrix

Author: ax3l

tests/test_smallmatrix.py

@@ -0,0 +1,223 @@
+# -*- coding: utf-8 -*-
+
+import numpy as np
+
+import amrex.space3d as amr
+
+
+def test_smallmatrix():
+    m66 = amr.SmallMatrix_6x6_F_SI1_double(
+        [
+            [1, 2, 3, 4, 5, 6],
+            [7, 8, 9, 10, 11, 12],
+            [13, 14, 15, 16, 17, 18],
+            [19, 20, 21, 22, 23, 24],
+            [25, 26, 27, 28, 29, 30],
+            [31, 32, 33, 34, 35, 36],
+        ]
+    )
+    v = 1
+    for j in range(1, 7):
+        for i in range(1, 7):
+            assert m66[i, j] == v
+            v += 1
+
+
+def test_smallvector():
+    cv1 = amr.SmallMatrix_6x1_F_SI1_double()
+    rv1 = amr.SmallMatrix_1x6_F_SI1_double()
+    cv2 = amr.SmallMatrix_6x1_F_SI1_double([1, 2, 3, 4, 5, 6])
+    rv2 = amr.SmallMatrix_1x6_F_SI1_double([0, 10, 20, 30, 40, 50])
+    cv3 = amr.SmallMatrix_6x1_F_SI1_double([0, 1, 2, 3, 4, 5])
+
+    for j in range(1, 7):
+        assert cv1[j] == 0.0
+        assert rv1[j] == 0.0
+        assert cv2[j] == j
+        assert amr.almost_equal(rv2[j], (j - 1) * 10.0)
+        assert amr.almost_equal(cv3[j], j - 1.0)
+
+
+def test_smallmatrix_zero():
+    zero = amr.SmallMatrix_6x6_F_SI1_double()
+
+    # Check properties
+    assert zero.size == 36
+    assert zero.row_size == 6
+    assert zero.column_size == 6
+    assert zero.order == "F"
+    assert zero.starting_index == 1
+
+    # Check values
+    assert zero.sum() == 0
+    assert zero.prod() == 0
+    assert zero.trace() == 0
+
+    # assign empty
+    zeroc = amr.SmallMatrix_6x6_F_SI1_double(zero)
+
+    # Check values
+    assert zeroc.sum() == 0
+    assert zeroc.prod() == 0
+    assert zeroc.trace() == 0
+
+    # create zero
+    zerov = amr.SmallMatrix_6x6_F_SI1_double.zero()
+
+    # Check values
+    assert zerov.sum() == 0
+    assert zerov.prod() == 0
+    assert zerov.trace() == 0
+
+
+def test_smallmatrix_identity():
+    iden = amr.SmallMatrix_6x6_F_SI1_double.identity()
+
+    # Check properties
+    assert iden.size == 36
+    assert iden.row_size == 6
+    assert iden.column_size == 6
+    assert iden.order == "F"
+    assert iden.starting_index == 1
+
+    # Check values
+    assert iden.sum() == 6
+    assert iden.prod() == 0
+    assert iden.trace() == 6
+
+
+def test_smallmatrix_from_np():
+    # from numpy (copy)
+    x = np.ones(
+        (
+            6,
+            6,
+        )
+    )
+    print(f"\nx: {x.__array_interface__} {x.dtype}")
+    sm = amr.SmallMatrix_6x6_F_SI1_double(x)
+    print(f"sm: {sm.__array_interface__}")
+    print(sm)
+
+    assert sm.sum() == 36
+    assert sm.prod() == 1
+    assert sm.trace() == 6
+
+
+def test_smallmatrix_to_np():
+    iden = amr.SmallMatrix_6x6_F_SI1_double.identity()
+
+    x = iden.to_numpy()
+    print(x)
+
+    assert x.sum() == 6
+    assert x.prod() == 0
+    assert x.trace() == 6
+    assert not x.flags["C_CONTIGUOUS"]
+    assert x.flags["F_CONTIGUOUS"]
+
+
+def test_smallmatrix_smallvector():
+    v3 = amr.SmallMatrix_6x1_F_SI1_double.zero()
+    v3[1] = 1.0
+    v3[2] = 2.0
+    v3[3] = 3.0
+    v3[4] = 4.0
+    v3[5] = 5.0
+    v3[6] = 6.0
+    m66 = amr.SmallMatrix_6x6_F_SI1_double.identity()
+    r = m66 * v3
+
+    for i in range(1, 7):
+        assert amr.almost_equal(r[i], v3[i])
+
+
+def test_smallmatrix_smallmatrix():
+    A = amr.SmallMatrix_6x6_F_SI1_double(
+        [
+            [1, 0, 1, 0, 1, 0],
+            [2, 1, 1, 1, 1, 2],
+            [0, 1, 1, 1, 1, 0],
+            [1, 1, 2, 2, 1, 1],
+            [2, 1, 2, 2, 1, 2],
+            [0, 1, 1, 1, 1, 0],
+        ]
+    )
+    B = amr.SmallMatrix_6x6_F_SI1_double(
+        [
+            [1, 2, 2, 2, 1, 1],
+            [2, 3, 1, 1, 1, 3],
+            [4, 2, 2, 2, 2, 0],
+            [1, 4, 3, 2, 0, 1],
+            [2, 3, 1, 0, 0, 2],
+            [0, 1, 1, 1, 4, 0],
+        ]
+    )
+    C = amr.SmallMatrix_6x1_F_SI1_double([10, 8, 6, 4, 2, 0])
+    ABC = A * B * C
+    assert ABC[1, 1] == 322
+    assert ABC[2, 1] == 252
+    assert ABC[3, 1] == 388
+    assert ABC[4, 1] == 330
+    assert ABC[5, 1] == 310
+    assert ABC[6, 1] == 264
+
+    # transpose
+    CR = amr.SmallMatrix_1x6_F_SI1_double([10, 8, 6, 4, 2, 0])
+    ABC_T = A.T * B.transpose_in_place() * CR.T
+    assert ABC_T[1, 1] == 178
+    assert ABC_T[2, 1] == 402
+    assert ABC_T[3, 1] == 254
+    assert ABC_T[4, 1] == 476
+    assert ABC_T[5, 1] == 550
+    assert ABC_T[6, 1] == 254
+
+
+def test_smallmatrix_sum_prod():
+    m = amr.SmallMatrix_6x6_F_SI1_double()
+    m.set_val(2.0)
+
+    assert m.prod() == 2 ** (m.row_size * m.column_size)
+    assert m.sum() == 2 * m.row_size * m.column_size
+
+
+def test_smallmatrix_trace():
+    m = amr.SmallMatrix_6x6_F_SI1_double(
+        [
+            [1.0, 3.4, 4.5, 5.6, 6.7, 7.8],
+            [1.3, 2.0, 3.4, 4.5, 5.6, 6.7],
+            [1.3, 1.0, 3.0, 4.5, 5.6, 6.7],
+            [1.3, 1.4, 4.5, 4.0, 5.6, 6.7],
+            [1.3, 1.0, 4.5, 5.6, 5.0, 6.7],
+            [1.3, 1.4, 3.0, 4.5, 6.7, 6.0],
+        ]
+    )
+    assert m.trace() == 1.0 + 2.0 + 3.0 + 4.0 + 5.0 + 6.0
+
+
+def test_smallmatrix_scalar():
+    A = amr.SmallMatrix_6x6_F_SI1_double(
+        [
+            [+1.0, +2, +3, +4, +5, +6],
+            [+7, +8, +9, +10, +11, +12],
+            [+13, +14, +15, +16, +17, +18],
+            [+19, +20, +21, +22, +23, +24],
+            [+25, +26, +27, +28, +29, +30],
+            [+31, +32, +33, +34, +35, +36],
+        ]
+    )
+    B = amr.SmallMatrix_6x6_F_SI1_double(A)
+    B *= -1.0
+
+    # test matrix-scalar and scalar-matrix
+    C = A * 2.0 + 2.0 * B
+    assert np.allclose(C.to_numpy(), 0.0)
+
+    # test unary- operator and point-wise minus
+    D = -A - B
+    assert np.allclose(D.to_numpy(), 0.0)
+
+    # dot product
+    E = amr.SmallMatrix_6x6_F_SI1_double()
+    E.set_val(-1.0)
+    assert A.dot(E) == -666