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# Copyright (c) 2020-2024, Manfred Moitzi
# License: MIT License
import time
import random
from ezdxf.math.linalg import (
Matrix,
numpy_matrix_solver,
numpy_vector_solver,
)
from ezdxf.math.legacy import (
gauss_vector_solver,
gauss_matrix_solver,
gauss_jordan_solver,
gauss_jordan_inverse,
LUDecomposition,
)
def random_matrix(rows, cols):
return Matrix.reshape(
items=(random.random() for _ in range(rows * cols)), shape=(rows, cols)
)
SIZE = 200
CYCLES = 5
random.seed = 0
RANDOM_GAUSS_MATRIX_1 = random_matrix(rows=SIZE, cols=SIZE)
B1_VECTOR = [random.random() for _ in range(SIZE)]
B2_VECTOR = [random.random() for _ in range(SIZE)]
B3_VECTOR = [random.random() for _ in range(SIZE)]
B_MATRIX = Matrix()
B_MATRIX.append_col(B1_VECTOR)
B_MATRIX.append_col(B2_VECTOR)
B_MATRIX.append_col(B3_VECTOR)
def profile_numpy_matrix_solver(count):
for _ in range(count):
numpy_matrix_solver(RANDOM_GAUSS_MATRIX_1.matrix, B_MATRIX.matrix)
def profile_numpy_vector_solver(count):
for _ in range(count):
numpy_vector_solver(RANDOM_GAUSS_MATRIX_1.matrix, B1_VECTOR)
def profile_gauss_matrix_solver(count):
for _ in range(count):
gauss_matrix_solver(RANDOM_GAUSS_MATRIX_1.matrix, B_MATRIX.matrix)
def profile_gauss_vector_solver(count):
for _ in range(count):
gauss_vector_solver(RANDOM_GAUSS_MATRIX_1.matrix, B1_VECTOR)
def profile_gauss_jordan_solver(count):
for _ in range(count):
gauss_jordan_solver(RANDOM_GAUSS_MATRIX_1, B_MATRIX)
def profile_LU_vector_solver(count):
for _ in range(count):
lu = LUDecomposition(RANDOM_GAUSS_MATRIX_1)
lu.solve_vector(B1_VECTOR)
def profile_LU_matrix_solver(count):
for _ in range(count):
lu = LUDecomposition(RANDOM_GAUSS_MATRIX_1)
lu.solve_matrix(B_MATRIX)
def profile_gauss_jordan_inverse(count):
for _ in range(count):
gauss_jordan_inverse(RANDOM_GAUSS_MATRIX_1)
def profile_LU_decomposition_inverse(count):
for _ in range(count):
LUDecomposition(RANDOM_GAUSS_MATRIX_1).inverse()
def profile_numpy_inverse(count):
for _ in range(count):
RANDOM_GAUSS_MATRIX_1.inverse()
def profile(text, func, *args):
t0 = time.perf_counter()
func(*args)
t1 = time.perf_counter()
print(f"{text} {t1 - t0:.3f}s")
line = "-" *79
print(line)
print(f"Profiling a random {SIZE}x{SIZE} Matrix, 5x each task:")
print(line)
profile("numpy matrix solver - 3 vectors: ", profile_numpy_matrix_solver, 5)
profile(
"numpy vector solver - 1 vector : ",
profile_numpy_vector_solver,
5,
)
profile("numpy inverse: ", profile_numpy_inverse, 5)
print(line)
profile("Gauss-Jordan matrix solver - 3 vectors: ", profile_gauss_jordan_solver, 5)
profile("Gauss-Jordan inverse: ", profile_gauss_jordan_inverse, 5)
print(line)
profile(
"Gauss elimination vector solver - 1 vector : ",
profile_gauss_vector_solver,
5,
)
profile(
"Gauss elimination matrix solver - 3 vectors: ",
profile_gauss_matrix_solver,
5,
)
print(line)
profile("LU decomposition vector solver - 1 vector: ", profile_LU_vector_solver, 5)
profile("LU decomposition matrix solver - 3 vectors: ", profile_LU_matrix_solver, 5)
profile("LU decomposition inverse: ", profile_LU_decomposition_inverse, 5)
print(line)
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