113 lines
3.6 KiB
Python
113 lines
3.6 KiB
Python
import math
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try:
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import ulab as np
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use_ulab = True
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except ImportError:
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import numpy as np
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use_ulab = False
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if use_ulab:
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a = np.array([1,2,3], dtype=np.int16)
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b = np.array([4,5,6], dtype=np.int16)
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ab = np.linalg.dot(a.transpose(), b)
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print(math.isclose(ab, 32.0, rel_tol=1E-9, abs_tol=1E-9))
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a = np.array([1,2,3], dtype=np.int16)
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b = np.array([4,5,6], dtype=np.float)
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ab = np.linalg.dot(a.transpose(), b)
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print(math.isclose(ab, 32.0, rel_tol=1E-9, abs_tol=1E-9))
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a = np.array([[1., 2.], [3., 4.]])
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b = np.linalg.inv(a)
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ab = np.linalg.dot(a, b)
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m,n = ab.shape()
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for i in range(m):
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for j in range(n):
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if i == j:
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print(math.isclose(ab[i][j], 1.0, rel_tol=1E-9, abs_tol=1E-9))
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else:
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print(math.isclose(ab[i][j], 0.0, rel_tol=1E-9, abs_tol=1E-9))
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a = np.array([[1, 2, 3, 4], [4, 5, 6, 4], [7, 8.6, 9, 4], [3, 4, 5, 6]])
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b = np.linalg.inv(a)
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ab = np.linalg.dot(a, b)
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m,n = ab.shape()
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for i in range(m):
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for j in range(n):
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if i == j:
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print(math.isclose(ab[i][j], 1.0, rel_tol=1E-9, abs_tol=1E-9))
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else:
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print(math.isclose(ab[i][j], 0.0, rel_tol=1E-9, abs_tol=1E-9))
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else:
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a = np.array([1,2,3], dtype=np.int16)
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b = np.array([4,5,6], dtype=np.int16)
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ab = np.dot(a.transpose(), b)
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print(math.isclose(ab, 32.0, rel_tol=1E-9, abs_tol=1E-9))
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a = np.array([1,2,3], dtype=np.int16)
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b = np.array([4,5,6], dtype=np.float)
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ab = np.dot(a.transpose(), b)
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print(math.isclose(ab, 32.0, rel_tol=1E-9, abs_tol=1E-9))
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a = np.array([[1., 2.], [3., 4.]])
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b = np.linalg.inv(a)
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ab = np.dot(a, b)
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m,n = ab.shape
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for i in range(m):
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for j in range(n):
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if i == j:
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print(math.isclose(ab[i][j], 1.0, rel_tol=1E-9, abs_tol=1E-9))
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else:
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print(math.isclose(ab[i][j], 0.0, rel_tol=1E-9, abs_tol=1E-9))
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a = np.array([[1, 2, 3, 4], [4, 5, 6, 4], [7, 8.6, 9, 4], [3, 4, 5, 6]])
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b = np.linalg.inv(a)
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ab = np.dot(a, b)
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m,n = ab.shape
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for i in range(m):
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for j in range(n):
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if i == j:
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print(math.isclose(ab[i][j], 1.0, rel_tol=1E-9, abs_tol=1E-9))
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else:
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print(math.isclose(ab[i][j], 0.0, rel_tol=1E-9, abs_tol=1E-9))
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a = np.array([[1, 2, 3, 4], [4, 5, 6, 4], [7, 8.6, 9, 4], [3, 4, 5, 6]])
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result = (np.linalg.det(a))
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ref_result = 7.199999999999995
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print(math.isclose(result, ref_result, rel_tol=1E-9, abs_tol=1E-9))
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a = np.array([1, 2, 3])
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w, v = np.linalg.eig(np.diag(a))
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for i in range(3):
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print(math.isclose(w[i], a[i], rel_tol=1E-9, abs_tol=1E-9))
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for i in range(3):
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for j in range(3):
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if i == j:
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print(math.isclose(v[i][j], 1.0, rel_tol=1E-9, abs_tol=1E-9))
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else:
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print(math.isclose(v[i][j], 0.0, rel_tol=1E-9, abs_tol=1E-9))
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a = np.array([[25, 15, -5], [15, 18, 0], [-5, 0, 11]])
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result = (np.linalg.cholesky(a))
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ref_result = np.array([[5., 0., 0.], [ 3., 3., 0.], [-1., 1., 3.]])
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for i in range(3):
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for j in range(3):
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print(math.isclose(result[i][j], ref_result[i][j], rel_tol=1E-9, abs_tol=1E-9))
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a = np.array([1,2,3,4,5], dtype=np.float)
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result = (np.linalg.norm(a))
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ref_result = 7.416198487095663
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print(math.isclose(result, ref_result, rel_tol=1E-9, abs_tol=1E-9))
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a = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
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result = (np.linalg.norm(a)) ## Here is a problem
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ref_result = 16.881943016134134
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print(math.isclose(result, ref_result, rel_tol=1E-6, abs_tol=1E-6))
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if use_ulab:
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print(np.linalg.trace(np.eye(3)))
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else:
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print(np.trace(np.eye(3)))
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