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#######################################################
# Copyright (c) 2015, ArrayFire
# All rights reserved.
#
# This file is distributed under 3-clause BSD license.
# The complete license agreement can be obtained at:
# http://arrayfire.com/licenses/BSD-3-Clause
########################################################
"""
Math functions (sin, sqrt, exp, etc).
"""
from
.
library
import
*
from
.
array
import
*
from
.
bcast
import
_bcast_var
from
.
util
import
_is_number
def
_arith_binary_func
(
lhs
,
rhs
,
c_func
):
out
=
Array
()
is_left_array
=
isinstance
(
lhs
,
Array
)
is_right_array
=
isinstance
(
rhs
,
Array
)
if
not
(
is_left_array
or
is_right_array
):
raise
TypeError
(
"Atleast one input needs to be of type arrayfire.array"
)
elif
(
is_left_array
and
is_right_array
):
safe_call
(
c_func
(
c_pointer
(
out
.
arr
),
lhs
.
arr
,
rhs
.
arr
,
_bcast_var
.
get
()))
elif
(
_is_number
(
rhs
)):
ldims
=
dim4_to_tuple
(
lhs
.
dims
())
rty
=
implicit_dtype
(
rhs
,
lhs
.
type
())
other
=
Array
()
other
.
arr
=
constant_array
(
rhs
,
ldims
[
0
],
ldims
[
1
],
ldims
[
2
],
ldims
[
3
],
rty
)
safe_call
(
c_func
(
c_pointer
(
out
.
arr
),
lhs
.
arr
,
other
.
arr
,
_bcast_var
.
get
()))
else
:
rdims
=
dim4_to_tuple
(
rhs
.
dims
())
lty
=
implicit_dtype
(
lhs
,
rhs
.
type
())
other
=
Array
()
other
.
arr
=
constant_array
(
lhs
,
rdims
[
0
],
rdims
[
1
],
rdims
[
2
],
rdims
[
3
],
lty
)
safe_call
(
c_func
(
c_pointer
(
out
.
arr
),
other
.
arr
,
rhs
.
arr
,
_bcast_var
.
get
()))
return
out
def
_arith_unary_func
(
a
,
c_func
):
out
=
Array
()
safe_call
(
c_func
(
c_pointer
(
out
.
arr
),
a
.
arr
))
return
out
def
cast
(
a
,
dtype
):
"""
Cast an array to a specified type
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
dtype: af.Dtype
Must be one of the following:
- Dtype.f32 for float
- Dtype.f64 for double
- Dtype.b8 for bool
- Dtype.u8 for unsigned char
- Dtype.s32 for signed 32 bit integer
- Dtype.u32 for unsigned 32 bit integer
- Dtype.s64 for signed 64 bit integer
- Dtype.u64 for unsigned 64 bit integer
- Dtype.c32 for 32 bit complex number
- Dtype.c64 for 64 bit complex number
Returns
--------
out : af.Array
array containing the values from `a` after converting to `dtype`.
"""
out
=
Array
()
safe_call
(
backend
.
get
().
af_cast
(
c_pointer
(
out
.
arr
),
a
.
arr
,
dtype
.
value
))
return
out
def
minof
(
lhs
,
rhs
):
"""
Find the minimum value of two inputs at each location.
Parameters
----------
lhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
rhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
Returns
--------
out : af.Array
array containing the minimum value at each location of the inputs.
Note
-------
- Atleast one of `lhs` and `rhs` needs to be af.Array.
- If `lhs` and `rhs` are both af.Array, they must be of same size.
"""
return
_arith_binary_func
(
lhs
,
rhs
,
backend
.
get
().
af_minof
)
def
maxof
(
lhs
,
rhs
):
"""
Find the maximum value of two inputs at each location.
Parameters
----------
lhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
rhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
Returns
--------
out : af.Array
array containing the maximum value at each location of the inputs.
Note
-------
- Atleast one of `lhs` and `rhs` needs to be af.Array.
- If `lhs` and `rhs` are both af.Array, they must be of same size.
"""
return
_arith_binary_func
(
lhs
,
rhs
,
backend
.
get
().
af_maxof
)
def
clamp
(
val
,
low
,
high
):
"""
Clamp the input value between low and high
Parameters
----------
val : af.Array
Multi dimensional arrayfire array to be clamped.
low : af.Array or scalar
Multi dimensional arrayfire array or a scalar number denoting the lower value(s).
high : af.Array or scalar
Multi dimensional arrayfire array or a scalar number denoting the higher value(s).
"""
out
=
Array
()
is_low_array
=
isinstance
(
low
,
Array
)
is_high_array
=
isinstance
(
high
,
Array
)
vdims
=
dim4_to_tuple
(
val
.
dims
())
vty
=
val
.
type
()
if
not
is_low_array
:
low_arr
=
constant_array
(
low
,
vdims
[
0
],
vdims
[
1
],
vdims
[
2
],
vdims
[
3
],
vty
)
else
:
low_arr
=
low
.
arr
if
not
is_high_array
:
high_arr
=
constant_array
(
high
,
vdims
[
0
],
vdims
[
1
],
vdims
[
2
],
vdims
[
3
],
vty
)
else
:
high_arr
=
high
.
arr
safe_call
(
backend
.
get
().
af_clamp
(
c_pointer
(
out
.
arr
),
val
.
arr
,
low_arr
,
high_arr
,
_bcast_var
.
get
()))
return
out
def
mod
(
lhs
,
rhs
):
"""
Find the modulus.
Parameters
----------
lhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
rhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
Returns
--------
out : af.Array
Contains the moduli after dividing each value of lhs` with those in `rhs`.
Note
-------
- Atleast one of `lhs` and `rhs` needs to be af.Array.
- If `lhs` and `rhs` are both af.Array, they must be of same size.
"""
return
_arith_binary_func
(
lhs
,
rhs
,
backend
.
get
().
af_mod
)
def
rem
(
lhs
,
rhs
):
"""
Find the remainder.
Parameters
----------
lhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
rhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
Returns
--------
out : af.Array
Contains the remainders after dividing each value of lhs` with those in `rhs`.
Note
-------
- Atleast one of `lhs` and `rhs` needs to be af.Array.
- If `lhs` and `rhs` are both af.Array, they must be of same size.
"""
return
_arith_binary_func
(
lhs
,
rhs
,
backend
.
get
().
af_rem
)
def
abs
(
a
):
"""
Find the absolute values.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
Contains the absolute values of the inputs.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_abs
)
def
arg
(
a
):
"""
Find the theta value of the inputs in polar co-ordinates.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
Contains the theta values.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_arg
)
def
sign
(
a
):
"""
Find the sign of the inputs.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing 1 for negative values, 0 otherwise.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_sign
)
def
round
(
a
):
"""
Round the values to nearest integer.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the values rounded to nearest integer.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_round
)
def
trunc
(
a
):
"""
Round the values towards zero.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the truncated values.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_trunc
)
def
floor
(
a
):
"""
Round the values towards a smaller integer.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the floored values.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_floor
)
def
ceil
(
a
):
"""
Round the values towards a bigger integer.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the ceiled values.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_ceil
)
def
hypot
(
lhs
,
rhs
):
"""
Find the value of the hypotunese.
Parameters
----------
lhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
rhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
Returns
--------
out : af.Array
Contains the value of `sqrt(lhs**2, rhs**2)`.
Note
-------
- Atleast one of `lhs` and `rhs` needs to be af.Array.
- If `lhs` and `rhs` are both af.Array, they must be of same size.
"""
return
_arith_binary_func
(
lhs
,
rhs
,
backend
.
get
().
af_hypot
)
def
sin
(
a
):
"""
Sine of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the sine of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_sin
)
def
cos
(
a
):
"""
Cosine of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the cosine of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_cos
)
def
tan
(
a
):
"""
Tangent of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the tangent of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_tan
)
def
asin
(
a
):
"""
Arc Sine of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the arc sine of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_asin
)
def
acos
(
a
):
"""
Arc Cosine of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the arc cosine of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_acos
)
def
atan
(
a
):
"""
Arc Tangent of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the arc tangent of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_atan
)
def
atan2
(
lhs
,
rhs
):
"""
Find the arc tan using two values.
Parameters
----------
lhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
rhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
Returns
--------
out : af.Array
Contains the value arc tan values where:
- `lhs` contains the sine values.
- `rhs` contains the cosine values.
Note
-------
- Atleast one of `lhs` and `rhs` needs to be af.Array.
- If `lhs` and `rhs` are both af.Array, they must be of same size.
"""
return
_arith_binary_func
(
lhs
,
rhs
,
backend
.
get
().
af_atan2
)
def
cplx
(
lhs
,
rhs
=
None
):
"""
Create a complex array from real inputs.
Parameters
----------
lhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
rhs : optional: af.Array or scalar. default: None.
Multi dimensional arrayfire array or a scalar number.
Returns
--------
out : af.Array
Contains complex values whose
- real values contain values from `lhs`
- imaginary values contain values from `rhs` (0 if `rhs` is None)
Note
-------
- Atleast one of `lhs` and `rhs` needs to be af.Array.
- If `lhs` and `rhs` are both af.Array, they must be of same size.
"""
if
rhs
is
None
:
return
_arith_unary_func
(
lhs
,
backend
.
get
().
af_cplx
)
else
:
return
_arith_binary_func
(
lhs
,
rhs
,
backend
.
get
().
af_cplx2
)
def
real
(
a
):
"""
Find the real values of the input.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the real values from `a`.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_real
)
def
imag
(
a
):
"""
Find the imaginary values of the input.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the imaginary values from `a`.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_imag
)
def
conjg
(
a
):
"""
Find the complex conjugate values of the input.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing copmplex conjugate values from `a`.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_conjg
)
def
sinh
(
a
):
"""
Hyperbolic Sine of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the hyperbolic sine of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_sinh
)
def
cosh
(
a
):
"""
Hyperbolic Cosine of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the hyperbolic cosine of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_cosh
)
def
tanh
(
a
):
"""
Hyperbolic Tangent of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the hyperbolic tangent of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_tanh
)
def
asinh
(
a
):
"""
Arc Hyperbolic Sine of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the arc hyperbolic sine of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_asinh
)
def
acosh
(
a
):
"""
Arc Hyperbolic Cosine of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the arc hyperbolic cosine of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_acosh
)
def
atanh
(
a
):
"""
Arc Hyperbolic Tangent of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the arc hyperbolic tangent of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_atanh
)
def
root
(
lhs
,
rhs
):
"""
Find the root values of two inputs at each location.
Parameters
----------
lhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
rhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
Returns
--------
out : af.Array
array containing the value of `lhs ** (1/rhs)`
Note
-------
- Atleast one of `lhs` and `rhs` needs to be af.Array.
- If `lhs` and `rhs` are both af.Array, they must be of same size.
"""
return
_arith_binary_func
(
lhs
,
rhs
,
backend
.
get
().
af_root
)
def
pow
(
lhs
,
rhs
):
"""
Find the power of two inputs at each location.
Parameters
----------
lhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
rhs : af.Array or scalar
Multi dimensional arrayfire array or a scalar number.
Returns
--------
out : af.Array
array containing the value of `lhs ** (rhs)`
Note
-------
- Atleast one of `lhs` and `rhs` needs to be af.Array.
- If `lhs` and `rhs` are both af.Array, they must be of same size.
"""
return
_arith_binary_func
(
lhs
,
rhs
,
backend
.
get
().
af_pow
)
def
pow2
(
a
):
"""
Raise 2 to the power of each element in input.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array where each element is 2 raised to power of the corresponding value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_pow2
)
def
sigmoid
(
a
):
"""
Raise 2 to the power of each element in input.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array where each element is outout of a sigmoid function for the corresponding value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_sigmoid
)
def
exp
(
a
):
"""
Exponential of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the exponential of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_exp
)
def
expm1
(
a
):
"""
Exponential of each element in the array minus 1.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the exponential of each value from `a`.
Note
-------
- `a` must not be complex.
- This function provides a more stable result for small values of `a`.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_expm1
)
def
erf
(
a
):
"""
Error function of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the error function of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_erf
)
def
erfc
(
a
):
"""
Complementary error function of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the complementary error function of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_erfc
)
def
log
(
a
):
"""
Natural logarithm of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the natural logarithm of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_log
)
def
log1p
(
a
):
"""
Logarithm of each element in the array plus 1.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the the values of `log(a) + 1`
Note
-------
- `a` must not be complex.
- This function provides a more stable result for small values of `a`.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_log1p
)
def
log10
(
a
):
"""
Logarithm base 10 of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the logarithm base 10 of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_log10
)
def
log2
(
a
):
"""
Logarithm base 2 of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the logarithm base 2 of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_log2
)
def
sqrt
(
a
):
"""
Square root of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the square root of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_sqrt
)
def
rsqrt
(
a
):
"""
Reciprocal or inverse square root of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the inverse square root of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_rsqrt
)
def
cbrt
(
a
):
"""
Cube root of each element in the array.
Parameters
----------
a : af.Array
Multi dimensional arrayfire array.
Returns
--------
out : af.Array
array containing the cube root of each value from `a`.
Note
-------
`a` must not be complex.
"""
return
_arith_unary_func
(
a
,
backend
.
get
().
af_cbrt
)
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