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elemental_01.py
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elemental_01.py
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from lpython import i32, f64, f32
from numpy import empty, sin, cos, reshape, int32, float32, float64
def verify1d(array: f32[:], result: f32[:], size: i32):
i: i32
eps: f32
eps = f32(1e-6)
for i in range(size):
assert abs(sin(sin(array[i])) - result[i]) <= eps
def verifynd(array: f64[:, :, :], result: f64[:, :, :], size1: i32, size2: i32, size3: i32):
i: i32
j: i32
k: i32
eps: f64
eps = 1e-12
for i in range(size1):
for j in range(size2):
for k in range(size3):
assert abs(sin(array[i, j, k])**2.0 - result[i, j, k]) <= eps
def verify2d(array: f64[:, :], result: f64[:, :], size1: i32, size2: i32):
i: i32
j: i32
eps: f64
eps = 1e-12
for i in range(size1):
for j in range(size2):
assert abs(cos(array[i, j])**2.0 - result[i, j]) <= eps
def verify1d_sum(array_a: f64[:], array_b: f64[:], result: f64[:], size: i32):
i: i32
eps: f64
eps = 1e-9
for i in range(size):
assert abs(array_a[i]**2.0 + 5.0*array_b[i]**3.0 - result[i]) <= eps
def verify1d_mul(array_a: f64[:], array_b: f64[:], result: f64[:], size: i32):
i: i32
eps: f64
eps = 1e-5
for i in range(size):
assert abs(array_a[i]**2.0 * 5.0*array_b[i]**3.0 - result[i]) <= eps
def elemental_sum():
i: i32
j: i32
k: i32
array_a: f64[100] = empty(100, dtype=float64)
array_b: f64[100] = empty(100, dtype=float64)
array_c: f64[100] = empty(100, dtype=float64)
for i in range(100):
array_a[i] = float(i)
for j in range(100):
array_b[j] = float(j+5)
array_c = array_a**2.0 + 5.0*array_b**3.0
verify1d_sum(array_a, array_b, array_c, 100)
def elemental_mul():
i: i32
j: i32
k: i32
array_a: f64[100] = empty(100, dtype=float64)
array_b: f64[100] = empty(100, dtype=float64)
array_c: f64[100] = empty(100, dtype=float64)
for i in range(100):
array_a[i] = float(i)
for j in range(100):
array_b[j] = float(j+5)
array_c = array_a**2.0 * 5.0*array_b**3.0
verify1d_mul(array_a, array_b, array_c, 100)
def elemental_sin():
i: i32
j: i32
k: i32
array1d: f32[256] = empty(256, dtype=float32)
sin1d: f32[256] = empty(256, dtype=float32)
for i in range(256):
array1d[i] = f32(i)
sin1d = sin(sin(array1d))
verify1d(array1d, sin1d, 256)
arraynd: f64[256, 64, 16] = empty((256, 64, 16), dtype=float64)
sinnd: f64[256, 64, 16] = empty((256, 64, 16), dtype=float64)
for i in range(256):
for j in range(64):
for k in range(16):
arraynd[i, j, k] = float(i + j + k)
sinnd = sin(arraynd)**2.0
verifynd(arraynd, sinnd, 256, 64, 16)
def elemental_cos():
i: i32
j: i32
array2d: f64[256, 64] = empty((256, 64), dtype=float64)
cos2d: f64[256, 64] = empty((256, 64), dtype=float64)
for i in range(256):
for j in range(64):
array2d[i, j] = float(i + j)
cos2d = cos(array2d)**2.0
verify2d(array2d, cos2d, 256, 64)
def elemental_trig_identity():
i: i32
j: i32
k: i32
l: i32
eps: f32
eps = f32(1e-6)
arraynd: f32[64, 32, 8, 4] = empty((64, 32, 8, 4), dtype=float32)
observed: f32[64, 32, 8, 4] = empty((64, 32, 8, 4), dtype=float32)
observed1d: f32[65536] = empty(65536, dtype=float32)
for i in range(64):
for j in range(32):
for k in range(8):
for l in range(4):
arraynd[i, j, k, l] = f32(i + j + k + l)
observed = sin(arraynd)**f32(2) + cos(arraynd)**f32(2)
newshape: i32[1] = empty(1, dtype=int32)
newshape[0] = 65536
observed1d = reshape(observed, newshape)
for i in range(65536):
assert abs(observed1d[i] - f32(1.0)) <= eps
elemental_sin()
elemental_cos()
elemental_trig_identity()
elemental_sum()
elemental_mul()