[5897] | 1 | #!/usr/bin/env python |
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| 2 | |
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| 3 | |
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| 4 | import unittest |
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[6304] | 5 | import numpy as num |
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[5897] | 6 | |
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| 7 | from math import sqrt, pi |
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| 8 | from anuga.config import epsilon |
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| 9 | from numerical_tools import * |
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| 10 | |
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[6158] | 11 | |
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[5897] | 12 | def test_function(x, y): |
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| 13 | return x+y |
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| 14 | |
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| 15 | class Test_Numerical_Tools(unittest.TestCase): |
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| 16 | def setUp(self): |
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| 17 | pass |
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| 18 | |
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| 19 | def tearDown(self): |
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| 20 | pass |
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| 21 | |
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| 22 | def test_angle1(self): |
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| 23 | """Test angles between one vector and the x-axis |
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| 24 | """ |
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[6158] | 25 | assert num.allclose(angle([1.0, 0.0])/pi*180, 0.0) |
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| 26 | assert num.allclose(angle([1.0, 1.0])/pi*180, 45.0) |
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| 27 | assert num.allclose(angle([0.0, 1.0])/pi*180, 90.0) |
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| 28 | assert num.allclose(angle([-1.0, 1.0])/pi*180, 135.0) |
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| 29 | assert num.allclose(angle([-1.0, 0.0])/pi*180, 180.0) |
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| 30 | assert num.allclose(angle([-1.0, -1.0])/pi*180, 225.0) |
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| 31 | assert num.allclose(angle([0.0, -1.0])/pi*180, 270.0) |
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| 32 | assert num.allclose(angle([1.0, -1.0])/pi*180, 315.0) |
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[5897] | 33 | |
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| 34 | |
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| 35 | def test_angle2(self): |
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| 36 | """Test angles between two arbitrary vectors |
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| 37 | """ |
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| 38 | |
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[6158] | 39 | assert num.allclose(angle([1.0, 0.0], [1.0, 1.0])/pi*180, 315.0) |
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| 40 | assert num.allclose(angle([1.0, 1.0], [1.0, 0.0])/pi*180, 45.0) |
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[5897] | 41 | |
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[6158] | 42 | assert num.allclose(angle([-1.0, -1.0], [1.0, 1.0])/pi*180, 180) |
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| 43 | assert num.allclose(angle([-1.0, -1.0], [-1.0, 1.0])/pi*180, 90.0) |
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[5897] | 44 | |
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[6158] | 45 | assert num.allclose(angle([-1.0, 0.0], [1.0, 1.0])/pi*180, 135.0) |
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| 46 | assert num.allclose(angle([0.0, -1.0], [1.0, 1.0])/pi*180, 225.0) |
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[5897] | 47 | |
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[6158] | 48 | assert num.allclose(angle([1.0, -1.0], [1.0, 1.0])/pi*180, 270.0) |
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| 49 | assert num.allclose(angle([1.0, 0.0], [0.0, 1.0])/pi*180, 270.0) |
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[5897] | 50 | |
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| 51 | #From test_get_boundary_polygon_V |
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| 52 | v_prev = [-0.5, -0.5] |
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| 53 | vc = [ 0.0, -0.5] |
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[6158] | 54 | assert num.allclose(angle(vc, v_prev)/pi*180, 45.0) |
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[5897] | 55 | |
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| 56 | vc = [ 0.5, 0.0] |
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[6158] | 57 | assert num.allclose(angle(vc, v_prev)/pi*180, 135.0) |
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[5897] | 58 | |
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| 59 | vc = [ -0.5, 0.5] |
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[6158] | 60 | assert num.allclose(angle(vc, v_prev)/pi*180, 270.0) |
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[5897] | 61 | |
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| 62 | |
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| 63 | def test_anglediff(self): |
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[6158] | 64 | assert num.allclose(anglediff([0.0, 1.], [1.0, 1.0])/pi*180, 45.0) |
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[5897] | 65 | |
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| 66 | |
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| 67 | def test_ensure_numeric(self): |
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| 68 | A = [1,2,3,4] |
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| 69 | B = ensure_numeric(A) |
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[6304] | 70 | assert isinstance(B, num.ndarray) |
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| 71 | assert B.dtype.char == 'l' |
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[5897] | 72 | assert B[0] == 1 and B[1] == 2 and B[2] == 3 and B[3] == 4 |
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| 73 | |
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| 74 | A = [1,2,3.14,4] |
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| 75 | B = ensure_numeric(A) |
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[6304] | 76 | assert isinstance(B, num.ndarray) |
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| 77 | assert B.dtype.char == 'd' |
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[5897] | 78 | assert B[0] == 1 and B[1] == 2 and B[2] == 3.14 and B[3] == 4 |
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| 79 | |
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| 80 | A = [1,2,3,4] |
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[6304] | 81 | B = ensure_numeric(A, num.float) |
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| 82 | assert isinstance(B, num.ndarray) |
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| 83 | assert B.dtype.char == 'd' |
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[5897] | 84 | assert B[0] == 1.0 and B[1] == 2.0 and B[2] == 3.0 and B[3] == 4.0 |
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| 85 | |
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| 86 | A = [1,2,3,4] |
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[6304] | 87 | B = ensure_numeric(A, num.float) |
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| 88 | assert isinstance(B, num.ndarray) |
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| 89 | assert B.dtype.char == 'd' |
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[5897] | 90 | assert B[0] == 1.0 and B[1] == 2.0 and B[2] == 3.0 and B[3] == 4.0 |
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| 91 | |
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[6304] | 92 | A = num.array([1,2,3,4]) |
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[5897] | 93 | B = ensure_numeric(A) |
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[6304] | 94 | assert isinstance(B, num.ndarray) |
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| 95 | assert B.dtype.char == 'l' |
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[6158] | 96 | assert num.alltrue(A == B) |
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[5897] | 97 | assert A is B #Same object |
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| 98 | |
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[6304] | 99 | # THIS FAILS! ASSUMED TYPE IS num.int!? |
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| 100 | # # check default num.array type, which is supposed to be num.float |
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| 101 | # A = num.array((1,2,3,4)) |
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| 102 | # assert isinstance(A, num.ndarray) |
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| 103 | # assert A.dtype.char == 'd', \ |
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| 104 | # "Expected dtype='d', got '%s'" % A.dtype.char |
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| 105 | |
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| 106 | A = num.array([1,2,3,4]) |
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| 107 | B = ensure_numeric(A, num.float) |
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| 108 | assert isinstance(B, num.ndarray) |
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| 109 | assert A.dtype.char == 'l' |
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| 110 | assert B.dtype.char == 'd' |
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[6158] | 111 | assert num.alltrue(A == B) |
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[6304] | 112 | assert A is not B # Not the same object |
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[5897] | 113 | |
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| 114 | # Check scalars |
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| 115 | A = 1 |
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[6304] | 116 | B = ensure_numeric(A, num.float) |
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[6158] | 117 | assert num.alltrue(A == B) |
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[6304] | 118 | # print 'A=%s' % str(A) |
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| 119 | # print 'B=%s, B.shape=%s' % (str(B), str(B.shape)) |
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[5897] | 120 | |
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[6304] | 121 | B = ensure_numeric(A, num.int) |
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[6158] | 122 | assert num.alltrue(A == B) |
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[5897] | 123 | |
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[6304] | 124 | # try to simulate getting (x,0) shape |
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| 125 | data_points = [[ 413634. ],] |
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| 126 | array_data_points = ensure_numeric(data_points) |
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| 127 | #if not (0,) == array_data_points.shape: |
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| 128 | # assert len(array_data_points.shape) == 2 |
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| 129 | # assert array_data_points.shape[1] == 2 |
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| 130 | |
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| 131 | |
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| 132 | def NO_test_ensure_numeric_char(self): |
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| 133 | '''numpy can't handle this''' |
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| 134 | |
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[5897] | 135 | # Error situation |
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[6304] | 136 | B = ensure_numeric('hello', num.int) |
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[6158] | 137 | assert num.allclose(B, [104, 101, 108, 108, 111]) |
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[5897] | 138 | |
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| 139 | |
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| 140 | def test_gradient(self): |
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| 141 | x0 = 0.0; y0 = 0.0; z0 = 0.0 |
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| 142 | x1 = 1.0; y1 = 0.0; z1 = -1.0 |
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| 143 | x2 = 0.0; y2 = 1.0; z2 = 0.0 |
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| 144 | |
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| 145 | zx, zy = gradient(x0, y0, x1, y1, x2, y2, z0, z1, z2) |
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| 146 | |
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| 147 | assert zx == -1.0 |
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| 148 | assert zy == 0.0 |
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| 149 | |
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| 150 | |
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| 151 | def test_gradient_more(self): |
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| 152 | x0 = 2.0/3; y0 = 2.0/3 |
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| 153 | x1= 8.0/3; y1 = 2.0/3 |
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| 154 | x2 = 2.0/3; y2 = 8.0/3 |
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| 155 | |
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| 156 | q0 = 2.0+2.0/3 |
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| 157 | q1 = 8.0+2.0/3 |
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| 158 | q2 = 2.0+8.0/3 |
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| 159 | |
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| 160 | #Gradient of fitted pwl surface |
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| 161 | a, b = gradient(x0, y0, x1, y1, x2, y2, q0, q1, q2) |
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| 162 | |
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| 163 | assert abs(a - 3.0) < epsilon |
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| 164 | assert abs(b - 1.0) < epsilon |
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| 165 | |
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| 166 | |
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| 167 | def test_gradient2(self): |
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| 168 | """Test two-point gradient |
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| 169 | """ |
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| 170 | |
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| 171 | x0 = 5.0; y0 = 5.0; z0 = 10.0 |
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| 172 | x1 = 8.0; y1 = 2.0; z1 = 1.0 |
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| 173 | x2 = 8.0; y2 = 8.0; z2 = 10.0 |
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| 174 | |
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| 175 | #Reference |
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| 176 | zx, zy = gradient(x0, y0, x1, y1, x2, y2, z0, z1, z2) |
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| 177 | a, b = gradient2(x0, y0, x1, y1, z0, z1) |
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| 178 | |
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| 179 | assert zx == a |
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| 180 | assert zy == b |
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| 181 | |
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| 182 | z2_computed = z0 + a*(x2-x0) + b*(y2-y0) |
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| 183 | assert z2_computed == z2 |
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| 184 | |
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| 185 | |
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| 186 | def test_gradient2_more(self): |
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| 187 | """Test two-point gradient more |
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| 188 | """ |
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| 189 | x0 = 2.0; y0 = 2.0 |
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| 190 | x1 = 8.0; y1 = 3.0 |
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| 191 | x2 = 1.0; y2 = 8.0 |
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| 192 | |
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| 193 | q0 = 2.0 |
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| 194 | q1 = 8.0 |
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| 195 | q2 = q0 |
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| 196 | |
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| 197 | #Gradient of fitted pwl surface |
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| 198 | a_ref, b_ref = gradient(x0, y0, x1, y1, x2, y2, q0, q1, q2) |
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| 199 | a, b = gradient2(x0, y0, x1, y1, q0, q1) |
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| 200 | |
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| 201 | assert a == a_ref |
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| 202 | assert b == b_ref |
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| 203 | |
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| 204 | |
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| 205 | def test_machine_precision(self): |
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| 206 | """test_machine_precision(self): |
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| 207 | Test the function that calculates epsilon. As this varies on |
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| 208 | different machines, this is only an indication. |
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| 209 | """ |
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| 210 | |
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| 211 | eps = get_machine_precision() |
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| 212 | |
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| 213 | assert eps < 1.0e-12, 'Machine precision should be better than 1.0e-12' |
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| 214 | assert eps > 0.0 |
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| 215 | assert 1.0+eps/2 == 1.0 |
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| 216 | |
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| 217 | |
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| 218 | def test_histogram(self): |
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| 219 | """Test histogram with different bin boundaries |
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| 220 | """ |
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| 221 | |
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| 222 | a = [1,1,1,1,1,2,1,3,2,3,1,2,3,4,1] |
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| 223 | |
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| 224 | #There are four elements greater than or equal to 3 |
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| 225 | bins = [3] |
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[6158] | 226 | assert num.allclose(histogram(a, bins), [4]) |
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[5897] | 227 | |
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| 228 | bins = [ min(a) ] |
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[6158] | 229 | assert num.allclose(histogram(a, bins), [len(a)]) |
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[5897] | 230 | |
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| 231 | bins = [ max(a)+0.00001 ] |
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[6158] | 232 | assert num.allclose(histogram(a, bins), [0]) |
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[5897] | 233 | |
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| 234 | bins = [1,2,3,4] |
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[6158] | 235 | assert num.allclose(histogram(a, bins), [8,3,3,1]) |
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[5897] | 236 | |
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| 237 | bins = [1.1,2,3.1,4] |
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| 238 | #print histogram(a, bins) |
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[6158] | 239 | assert num.allclose(histogram(a, bins), [0,6,0,1]) |
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[5897] | 240 | |
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| 241 | bins = [0,1.5,2,3] |
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[6158] | 242 | assert num.allclose(histogram(a, bins), [8,0,3,4]) |
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| 243 | assert num.allclose(histogram(a, [0,3]), histogram(a, [-0.5,3])) |
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[5897] | 244 | |
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| 245 | # Check situation with #bins >= #datapoints |
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| 246 | a = [1.7] |
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| 247 | bins = [0,1.5,2,3] |
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[6158] | 248 | assert num.allclose(histogram(a, bins), [0,1,0,0]) |
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[5897] | 249 | |
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| 250 | a = [1.7] |
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| 251 | bins = [0] |
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[6158] | 252 | assert num.allclose(histogram(a, bins), [1]) |
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[5897] | 253 | |
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| 254 | a = [-1.7] |
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| 255 | bins = [0] |
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[6158] | 256 | assert num.allclose(histogram(a, bins), [0]) |
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[5897] | 257 | |
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| 258 | a = [-1.7] |
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| 259 | bins = [-1.7] |
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[6158] | 260 | assert num.allclose(histogram(a, bins), [1]) |
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[5897] | 261 | |
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| 262 | |
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| 263 | def test_that_C_extension_compiles(self): |
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| 264 | FN = 'util_ext.c' |
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| 265 | try: |
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| 266 | import util_ext |
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| 267 | except: |
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| 268 | from compile import compile |
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| 269 | |
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| 270 | try: |
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| 271 | compile(FN) |
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| 272 | except: |
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| 273 | raise 'Could not compile %s' %FN |
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| 274 | else: |
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| 275 | import util_ext |
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| 276 | |
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| 277 | |
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| 278 | def test_gradient_C_extension(self): |
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| 279 | from util_ext import gradient as gradient_c |
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| 280 | |
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| 281 | x0 = 2.0/3; y0 = 2.0/3 |
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| 282 | x1= 8.0/3; y1 = 2.0/3 |
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| 283 | x2 = 2.0/3; y2 = 8.0/3 |
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| 284 | |
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| 285 | q0 = 2.0+2.0/3 |
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| 286 | q1 = 8.0+2.0/3 |
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| 287 | q2 = 2.0+8.0/3 |
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| 288 | |
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| 289 | #Gradient of fitted pwl surface |
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| 290 | a, b = gradient_c(x0, y0, x1, y1, x2, y2, q0, q1, q2) |
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| 291 | |
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| 292 | assert abs(a - 3.0) < epsilon |
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| 293 | assert abs(b - 1.0) < epsilon |
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| 294 | |
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| 295 | |
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| 296 | def test_gradient_C_extension3(self): |
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| 297 | from util_ext import gradient as gradient_c |
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| 298 | |
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| 299 | from RandomArray import uniform, seed |
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| 300 | seed(17, 53) |
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| 301 | |
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| 302 | x0, x1, x2, y0, y1, y2 = uniform(0.0,3.0,6) |
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| 303 | |
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| 304 | q0 = uniform(0.0, 10.0, 4) |
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| 305 | q1 = uniform(1.0, 3.0, 4) |
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| 306 | q2 = uniform(7.0, 20.0, 4) |
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| 307 | |
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| 308 | for i in range(4): |
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| 309 | #Gradient of fitted pwl surface |
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| 310 | a_ref, b_ref = gradient_python(x0, y0, x1, y1, x2, y2, |
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| 311 | q0[i], q1[i], q2[i]) |
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| 312 | |
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| 313 | #print a_ref, b_ref |
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| 314 | a, b = gradient_c(x0, y0, x1, y1, x2, y2, |
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| 315 | q0[i], q1[i], q2[i]) |
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| 316 | |
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| 317 | #print a, a_ref, b, b_ref |
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| 318 | assert abs(a - a_ref) < epsilon |
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| 319 | assert abs(b - b_ref) < epsilon |
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| 320 | |
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| 321 | |
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| 322 | def test_err(self): |
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| 323 | x = [2,5] # diff at first position = 4, 4^2 = 16 |
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| 324 | y = [6,7] # diff at secnd position = 2, 2^2 = 4 |
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| 325 | # 16 + 4 = 20 |
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| 326 | |
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| 327 | # If there is x and y, n=2 and relative=False, this will calc; |
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| 328 | # sqrt(sum_over_x&y((xi - yi)^2)) |
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| 329 | err__1 = err(x,y,2,False) |
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| 330 | assert err__1 == sqrt(20) |
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| 331 | #print "err_", err_ |
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| 332 | #rmsd_1 = err__1*sqrt(1./len(x)) |
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| 333 | #print "err__1*sqrt(1./len(x))", err__1*sqrt(1./len(x)) |
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| 334 | #print "sqrt(10)", sqrt(10) |
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| 335 | |
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| 336 | x = [2,7,100] |
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| 337 | y = [5,10,103] |
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| 338 | err__2 = err(x,y,2,False) |
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| 339 | assert err__2 == sqrt(27) |
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| 340 | #rmsd_2 = err__2*sqrt(1./len(x)) |
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| 341 | #print "err__2*sqrt(1./len(x))", err__2*sqrt(1./len(x)) |
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| 342 | |
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| 343 | x = [2,5,2,7,100] |
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| 344 | y = [6,7,5,10,103] |
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| 345 | err_3 = err(x,y,2,False) |
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| 346 | assert err_3 == sqrt(47) |
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| 347 | |
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| 348 | #rmsd_3 = err_3*sqrt(1./len(x)) |
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| 349 | #print "err__3*sqrt(1./len(x))", err__3*sqrt(1./len(x)) |
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| 350 | #print "rmsd_3", rmsd_3 |
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| 351 | #print "sqrt(err_1*err__1+err__2*err__2)/sqrt(5)", \ |
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| 352 | # sqrt(err__1*err__1+err__2*err__2)/sqrt(5) |
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| 353 | #print "(rmsd_1 + rmsd_2)/2.", (rmsd_1 + rmsd_2)/2. |
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| 354 | #print "sqrt((rmsd_1*rmsd_1 + rmsd_2*rmsd_2))/2.", \ |
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| 355 | #sqrt((rmsd_1*rmsd_1 + rmsd_2*rmsd_2))/2. |
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| 356 | |
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| 357 | def test_norm(self): |
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| 358 | x = norm(ensure_numeric([3,4])) |
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| 359 | assert x == 5. |
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| 360 | |
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| 361 | |
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[6304] | 362 | ################################################################################ |
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| 363 | # Test the is_num_????() functions. |
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| 364 | ################################################################################ |
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| 365 | |
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| 366 | def test_is_float(self): |
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| 367 | def t(val, expected): |
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| 368 | if expected == True: |
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| 369 | msg = 'should be num.float?' |
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| 370 | else: |
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| 371 | msg = 'should not be num.float?' |
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| 372 | msg = '%s (%s) %s' % (str(val), type(val), msg) |
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| 373 | assert is_num_float(val) == expected, msg |
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| 374 | |
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| 375 | t(1, False) |
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| 376 | t(1.0, False) |
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| 377 | t('abc', False) |
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| 378 | t(None, False) |
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| 379 | t(num.array(None), False) |
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| 380 | # can't create array(None, num.int) |
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| 381 | # t(num.array(None, num.int), False) |
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| 382 | t(num.array(None, num.float), True) |
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| 383 | t(num.array(()), True) |
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| 384 | t(num.array((), num.int), False) |
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| 385 | t(num.array((), num.float), True) |
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| 386 | t(num.array((1), num.int), False) |
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| 387 | t(num.array((1), num.float), True) |
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| 388 | |
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| 389 | t(num.array((1,2)), False) |
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| 390 | t(num.array((1,2), num.int), False) |
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| 391 | t(num.array((1,2), num.float), True) |
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| 392 | t(num.array([1,2]), False) |
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| 393 | t(num.array([1,2], num.int), False) |
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| 394 | t(num.array([1,2], num.float), True) |
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| 395 | |
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| 396 | t(num.array((1.0,2.0)), True) |
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| 397 | t(num.array((1.0,2.0), num.int), False) |
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| 398 | t(num.array((1.0,2.0), num.float), True) |
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| 399 | t(num.array([1.0,2.0]), True) |
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| 400 | t(num.array([1.0,2.0], num.int), False) |
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| 401 | t(num.array([1.0,2.0], num.float), True) |
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| 402 | |
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| 403 | t(num.array(((1.0,2.0),(3.0,4.0))), True) |
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| 404 | t(num.array(((1.0,2.0),(3.0,4.0)), num.int), False) |
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| 405 | t(num.array(((1.0,2.0),(3.0,4.0)), num.float), True) |
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| 406 | t(num.array([[1.0,2.0],[3.0,4.0]]), True) |
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| 407 | t(num.array([1.0,2.0], num.int), False) |
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| 408 | t(num.array([1.0,2.0], num.float), True) |
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| 409 | |
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| 410 | t(num.array('abc'), False) |
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| 411 | t(num.array('abc', num.character), False) |
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| 412 | # can't create array as int from string |
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| 413 | # t(num.array('abc', num.int), False) |
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| 414 | # can't create array as float from string |
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| 415 | # t(num.array('abc', num.float), True) |
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| 416 | |
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| 417 | def test_is_int(self): |
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| 418 | def t(val, expected): |
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| 419 | if expected == True: |
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| 420 | msg = 'should be num.int?' |
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| 421 | else: |
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| 422 | msg = 'should not be num.int?' |
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| 423 | msg = '%s (%s) %s' % (str(val), type(val), msg) |
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| 424 | assert is_num_int(val) == expected, msg |
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| 425 | |
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| 426 | t(1, False) |
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| 427 | t(1.0, False) |
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| 428 | t('abc', False) |
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| 429 | t(None, False) |
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| 430 | t(num.array(None), False) |
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| 431 | # can't create array(None, num.int) |
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| 432 | # t(num.array(None, num.int), True) |
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| 433 | t(num.array(None, num.float), False) |
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| 434 | t(num.array((), num.int), True) |
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| 435 | t(num.array(()), False) |
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| 436 | t(num.array((), num.float), False) |
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| 437 | t(num.array((1), num.int), True) |
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| 438 | t(num.array((1), num.float), False) |
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| 439 | |
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| 440 | t(num.array((1,2)), True) |
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| 441 | t(num.array((1,2), num.int), True) |
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| 442 | t(num.array((1,2), num.float), False) |
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| 443 | t(num.array([1,2]), True) |
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| 444 | t(num.array([1,2], num.int), True) |
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| 445 | t(num.array([1,2], num.float), False) |
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| 446 | |
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| 447 | t(num.array((1.0,2.0)), False) |
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| 448 | t(num.array((1.0,2.0), num.int), True) |
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| 449 | t(num.array((1.0,2.0), num.float), False) |
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| 450 | t(num.array([1.0,2.0]), False) |
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| 451 | t(num.array([1.0,2.0], num.int), True) |
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| 452 | t(num.array([1.0,2.0], num.float), False) |
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| 453 | |
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| 454 | t(num.array(((1.0,2.0),(3.0,4.0))), False) |
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| 455 | t(num.array(((1.0,2.0),(3.0,4.0)), num.int), True) |
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| 456 | t(num.array(((1.0,2.0),(3.0,4.0)), num.float), False) |
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| 457 | t(num.array([[1.0,2.0],[3.0,4.0]]), False) |
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| 458 | t(num.array([1.0,2.0], num.int), True) |
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| 459 | t(num.array([1.0,2.0], num.float), False) |
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| 460 | |
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| 461 | t(num.array('abc'), False) |
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| 462 | t(num.array('abc', num.character), False) |
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| 463 | # can't create array as int from string |
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| 464 | # t(num.array('abc', num.int), True) |
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| 465 | # can't create array as float from string |
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| 466 | # t(num.array('abc', num.float), False) |
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| 467 | |
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| 468 | |
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[5897] | 469 | #------------------------------------------------------------- |
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| 470 | if __name__ == "__main__": |
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[6304] | 471 | #suite = unittest.makeSuite(Test_Numerical_Tools,'test') |
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| 472 | suite = unittest.makeSuite(Test_Numerical_Tools,'test_is_') |
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[5897] | 473 | runner = unittest.TextTestRunner() |
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| 474 | runner.run(suite) |
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