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from cupy import _core
def _negative_gcd_error():
raise TypeError("gcd cannot be computed with boolean arrays")
def _negative_lcm_error():
raise TypeError("lcm cannot be computed with boolean arrays")
_gcd_preamble = '''
template <typename T> inline __device__ T gcd(T in0, T in1) {
T r;
while (in1 != 0) {
r = in0 % in1;
in0 = in1;
in1 = r;
}
if (in0 < 0)
return -in0;
return in0;
}
'''
gcd = _core.create_ufunc(
'cupy_gcd',
(('??->?', _negative_gcd_error),
'bb->b', 'BB->B', 'hh->h', 'HH->H', 'ii->i', 'II->I', 'll->l',
'LL->L', 'qq->q', 'QQ->Q'),
'out0 = gcd(in0, in1)',
preamble=_gcd_preamble,
doc='''Computes gcd of ``x1`` and ``x2`` elementwise.
.. seealso:: :data:`numpy.gcd`
''')
_lcm_preamble = _gcd_preamble + '''
template <typename T> inline __device__ T lcm(T in0, T in1) {
T r = gcd(in0, in1);
if (r == 0)
return 0;
r = in0 / r * in1;
if (r < 0)
return -r;
return r;
}
'''
lcm = _core.create_ufunc(
'cupy_lcm',
(('??->?', _negative_lcm_error),
'bb->b', 'BB->B', 'hh->h', 'HH->H', 'ii->i', 'II->I', 'll->l',
'LL->L', 'qq->q', 'QQ->Q'),
'out0 = lcm(in0, in1)',
preamble=_lcm_preamble,
doc='''Computes lcm of ``x1`` and ``x2`` elementwise.
.. seealso:: :data:`numpy.lcm`
''')
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