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|
#!/usr/bin/python
"""
generate_ufuncs.py
Generate Ufunc definition source files for scipy.special. Produces
files '_ufuncs.c' and '_ufuncs_cxx.c' by first producing Cython.
This will generate both calls to PyUFunc_FromFuncAndData and the
required ufunc inner loops.
The syntax in the ufunc signature list is
<line>: <ufunc_name> '--' <kernels> '--' <headers>
<kernels>: <function> [',' <function>]*
<function>: <name> ':' <input> '*' <output>
'->' <retval> '*' <ignored_retval>
<input>: <typecode>*
<output>: <typecode>*
<retval>: <typecode>?
<ignored_retval>: <typecode>?
<headers>: <header_name> [',' <header_name>]*
The input parameter types are denoted by single character type
codes, according to
'f': 'float'
'd': 'double'
'g': 'long double'
'F': 'float complex'
'D': 'double complex'
'G': 'long double complex'
'i': 'int'
'l': 'long'
'v': 'void'
If multiple kernel functions are given for a single ufunc, the one
which is used is determined by the standard ufunc mechanism. Kernel
functions that are listed first are also matched first against the
ufunc input types, so functions listed earlier take precedence.
In addition, versions with casted variables, such as d->f,D->F and
i->d are automatically generated.
There should be either a single header that contains all of the kernel
functions listed, or there should be one header for each kernel
function. Cython pxd files are allowed in addition to .h files.
Cython functions may use fused types, but the names in the list
should be the specialized ones, such as 'somefunc[float]'.
Function coming from C++ should have ``++`` appended to the name of
the header.
Floating-point exceptions inside these Ufuncs are converted to
special function errors --- which are separately controlled by the
user, and off by default, as they are usually not especially useful
for the user.
The C++ module
--------------
In addition to ``_ufuncs`` module, a second module ``_ufuncs_cxx`` is
generated. This module only exports function pointers that are to be
used when constructing some of the ufuncs in ``_ufuncs``. The function
pointers are exported via Cython's standard mechanism.
This mainly avoids build issues --- Python distutils has no way to
figure out what to do if you want to link both C++ and Fortran code in
the same shared library.
"""
from __future__ import division, print_function, absolute_import
#---------------------------------------------------------------------------------
# Ufunc listing
#---------------------------------------------------------------------------------
#
#
# Ufuncs without C++
UFUNCS = """
sph_harm -- sph_harmonic: iidd->D, sph_harmonic_unsafe: dddd->D -- sph_harm.pxd, _legacy.pxd
_lambertw -- lambertw_scalar: Dld->D -- lambertw.pxd
_ellip_harm -- ellip_harmonic: ddiiddd->d, ellip_harmonic_unsafe: ddddddd->d --_ellip_harm.pxd, _legacy.pxd
logit -- logitf: f->f, logit: d->d, logitl: g->g -- _logit.h
expit -- expitf: f->f, expit: d->d, expitl: g->g -- _logit.h
bdtrc -- bdtrc: iid->d, bdtrc_unsafe: ddd->d -- cephes.h, _legacy.pxd
bdtr -- bdtr: iid->d, bdtr_unsafe: ddd->d -- cephes.h, _legacy.pxd
bdtri -- bdtri: iid->d, bdtri_unsafe: ddd->d -- cephes.h, _legacy.pxd
binom -- binom: dd->d -- orthogonal_eval.pxd
btdtr -- btdtr: ddd->d -- cephes.h
btdtri -- incbi: ddd->d -- cephes.h
fdtrc -- fdtrc: ddd->d -- cephes.h
fdtr -- fdtr: ddd->d -- cephes.h
fdtri -- fdtri: ddd->d -- cephes.h
gdtrc -- gdtrc: ddd->d -- cephes.h
gdtr -- gdtr: ddd->d -- cephes.h
hyp0f1 -- _hyp0f1_real: dd->d, _hyp0f1_cmplx: dD->D -- _hyp0f1.pxd
hyp2f1 -- hyp2f1: dddd->d, chyp2f1_wrap: dddD->D -- cephes.h, specfun_wrappers.h
hyp1f1 -- hyp1f1_wrap: ddd->d, chyp1f1_wrap: ddD->D -- specfun_wrappers.h
hyperu -- hypU_wrap: ddd->d -- specfun_wrappers.h
hyp2f0 -- hyp2f0: dddi*d->d, hyp2f0_unsafe: dddd*d->d -- cephes.h, _legacy.pxd
hyp1f2 -- onef2: dddd*d->d -- cephes.h
hyp3f0 -- threef0: dddd*d->d -- cephes.h
betainc -- incbet: ddd->d -- cephes.h
betaincinv -- incbi: ddd->d -- cephes.h
nbdtrc -- nbdtrc: iid->d, nbdtrc_unsafe: ddd->d -- cephes.h, _legacy.pxd
nbdtr -- nbdtr: iid->d, nbdtr_unsafe: ddd->d -- cephes.h, _legacy.pxd
nbdtri -- nbdtri: iid->d, nbdtri_unsafe: ddd->d -- cephes.h, _legacy.pxd
beta -- beta: dd->d -- cephes.h
betaln -- lbeta: dd->d -- cephes.h
cbrt -- cbrt: d->d -- cephes.h
chdtrc -- chdtrc: dd->d -- cephes.h
chdtr -- chdtr: dd->d -- cephes.h
chdtri -- chdtri: dd->d -- cephes.h
ellipeinc -- ellie: dd->d -- cephes.h
ellipkinc -- ellik: dd->d -- cephes.h
ellipe -- ellpe: d->d -- cephes.h
ellipkm1 -- ellpk: d->d -- cephes.h
eval_jacobi -- eval_jacobi[double]: dddd->d, eval_jacobi[double complex]: dddD->D, eval_jacobi_l: lddd->d -- orthogonal_eval.pxd
eval_sh_jacobi -- eval_sh_jacobi[double]: dddd->d, eval_sh_jacobi[double complex]: dddD->D, eval_sh_jacobi_l: lddd->d -- orthogonal_eval.pxd
eval_gegenbauer -- eval_gegenbauer[double]: ddd->d, eval_gegenbauer[double complex]: ddD->D, eval_gegenbauer_l: ldd->d -- orthogonal_eval.pxd
eval_chebyt -- eval_chebyt[double]: dd->d, eval_chebyt[double complex]: dD->D, eval_chebyt_l: ld->d -- orthogonal_eval.pxd
eval_chebyu -- eval_chebyu[double]: dd->d, eval_chebyu[double complex]: dD->D, eval_chebyu_l: ld->d -- orthogonal_eval.pxd
eval_chebyc -- eval_chebyc[double]: dd->d, eval_chebyc[double complex]: dD->D, eval_chebyc_l: ld->d -- orthogonal_eval.pxd
eval_chebys -- eval_chebys[double]: dd->d, eval_chebys[double complex]: dD->D, eval_chebys_l: ld->d -- orthogonal_eval.pxd
eval_sh_chebyt -- eval_sh_chebyt[double]: dd->d, eval_sh_chebyt[double complex]: dD->D, eval_sh_chebyt_l:ld->d -- orthogonal_eval.pxd
eval_sh_chebyu -- eval_sh_chebyu[double]: dd->d, eval_sh_chebyu[double complex]: dD->D, eval_sh_chebyu_l:ld->d -- orthogonal_eval.pxd
eval_legendre -- eval_legendre[double]: dd->d, eval_legendre[double complex]: dD->D, eval_legendre_l: ld->d -- orthogonal_eval.pxd
eval_sh_legendre -- eval_sh_legendre[double]: dd->d, eval_sh_legendre[double complex]: dD->D, eval_sh_legendre_l:ld->d -- orthogonal_eval.pxd
eval_genlaguerre -- eval_genlaguerre[double]: ddd->d, eval_genlaguerre[double complex]: ddD->D, eval_genlaguerre_l:ldd->d -- orthogonal_eval.pxd
eval_laguerre -- eval_laguerre[double]: dd->d, eval_laguerre[double complex]: dD->D, eval_laguerre_l:ld->d -- orthogonal_eval.pxd
eval_hermite -- eval_hermite: ld->d -- orthogonal_eval.pxd
eval_hermitenorm -- eval_hermitenorm: ld->d -- orthogonal_eval.pxd
exp10 -- exp10: d->d -- cephes.h
exp2 -- exp2: d->d -- cephes.h
gamma -- Gamma: d->d, cgamma: D->D -- cephes.h, _loggamma.pxd
_gammaln -- lgam: d->d, clngamma_wrap: D->D -- cephes.h, specfun_wrappers.h
gammasgn -- gammasgn: d->d -- c_misc/misc.h
i0 -- i0: d->d -- cephes.h
i0e -- i0e: d->d -- cephes.h
i1 -- i1: d->d -- cephes.h
i1e -- i1e: d->d -- cephes.h
gammaincc -- igamc: dd->d -- cephes.h
gammainc -- igam: dd->d -- cephes.h
gammaincinv -- gammaincinv: dd->d -- cephes.h
gammainccinv -- igami: dd->d -- cephes.h
iv -- iv: dd->d, cbesi_wrap: dD->D -- cephes.h, amos_wrappers.h
ive -- cbesi_wrap_e_real: dd->d, cbesi_wrap_e: dD->D -- amos_wrappers.h
ellipj -- ellpj: dd*dddd->*i -- cephes.h
expn -- expn: id->d, expn_unsafe: dd->d -- cephes.h, _legacy.pxd
exp1 -- exp1_wrap: d->d, cexp1_wrap: D->D -- specfun_wrappers.h
expi -- expi_wrap: d->d, cexpi_wrap: D->D -- specfun_wrappers.h
kn -- cbesk_wrap_real_int: id->d, kn_unsafe: dd->d -- cephes.h, _legacy.pxd
pdtrc -- pdtrc: id->d, pdtrc_unsafe: dd->d -- cephes.h, _legacy.pxd
pdtr -- pdtr: id->d, pdtr_unsafe: dd->d -- cephes.h, _legacy.pxd
pdtri -- pdtri: id->d, pdtri_unsafe: dd->d -- cephes.h, _legacy.pxd
yn -- yn: id->d, yn_unsafe: dd->d -- cephes.h, _legacy.pxd
smirnov -- smirnov: id->d, smirnov_unsafe: dd->d -- cephes.h, _legacy.pxd
smirnovi -- smirnovi: id->d, smirnovi_unsafe: dd->d -- cephes.h, _legacy.pxd
airy -- airy_wrap: d*dddd->*i, cairy_wrap: D*DDDD->*i -- amos_wrappers.h
itairy -- itairy_wrap: d*dddd->*i -- specfun_wrappers.h
airye -- cairy_wrap_e_real: d*dddd->*i, cairy_wrap_e: D*DDDD->*i -- amos_wrappers.h
fresnel -- fresnl: d*dd->*i, cfresnl_wrap: D*DD->*i -- cephes.h, specfun_wrappers.h
shichi -- shichi: d*dd->*i -- cephes.h
sici -- sici: d*dd->*i -- cephes.h
itj0y0 -- it1j0y0_wrap: d*dd->*i -- specfun_wrappers.h
it2j0y0 -- it2j0y0_wrap: d*dd->*i -- specfun_wrappers.h
iti0k0 -- it1i0k0_wrap: d*dd->*i -- specfun_wrappers.h
it2i0k0 -- it2i0k0_wrap: d*dd->*i -- specfun_wrappers.h
j0 -- j0: d->d -- cephes.h
y0 -- y0: d->d -- cephes.h
j1 -- j1: d->d -- cephes.h
y1 -- y1: d->d -- cephes.h
jv -- cbesj_wrap_real: dd->d, cbesj_wrap: dD->D -- amos_wrappers.h
jve -- cbesj_wrap_e_real: dd->d, cbesj_wrap_e: dD->D -- amos_wrappers.h
yv -- cbesy_wrap_real: dd->d, cbesy_wrap: dD->D -- amos_wrappers.h
yve -- cbesy_wrap_e_real: dd->d, cbesy_wrap_e: dD->D -- amos_wrappers.h
k0 -- k0: d->d -- cephes.h
k0e -- k0e: d->d -- cephes.h
k1 -- k1: d->d -- cephes.h
k1e -- k1e: d->d -- cephes.h
kv -- cbesk_wrap_real: dd->d, cbesk_wrap: dD->D -- amos_wrappers.h
kve -- cbesk_wrap_e_real: dd->d, cbesk_wrap_e: dD->D -- amos_wrappers.h
hankel1 -- cbesh_wrap1: dD->D -- amos_wrappers.h
hankel1e -- cbesh_wrap1_e: dD->D -- amos_wrappers.h
hankel2 -- cbesh_wrap2: dD->D -- amos_wrappers.h
hankel2e -- cbesh_wrap2_e: dD->D -- amos_wrappers.h
ndtr -- ndtr: d->d, faddeeva_ndtr: D->D -- cephes.h, _faddeeva.h++
log_ndtr -- log_ndtr: d->d, faddeeva_log_ndtr: D->D -- cephes.h, _faddeeva.h++
ndtri -- ndtri: d->d -- cephes.h
psi -- digamma: d->d, cdigamma: D->D -- _digamma.pxd, _digamma.pxd
rgamma -- rgamma: d->d, crgamma: D->D -- cephes.h, _loggamma.pxd
round -- round: d->d -- cephes.h
sindg -- sindg: d->d -- cephes.h
cosdg -- cosdg: d->d -- cephes.h
radian -- radian: ddd->d -- cephes.h
tandg -- tandg: d->d -- cephes.h
cotdg -- cotdg: d->d -- cephes.h
log1p -- log1p: d->d, clog1p: D->D -- cephes.h, _cunity.pxd
expm1 -- expm1: d->d, cexpm1: D->D -- cephes.h, _cunity.pxd
cosm1 -- cosm1: d->d -- cephes.h
spence -- spence: d->d, cspence: D-> D -- cephes.h, _spence.pxd
zetac -- zetac: d->d -- cephes.h
struve -- struve_h: dd->d -- misc.h
modstruve -- struve_l: dd->d -- misc.h
_struve_power_series -- struve_power_series: ddi*d->d -- misc.h
_struve_asymp_large_z -- struve_asymp_large_z: ddi*d->d -- misc.h
_struve_bessel_series -- struve_bessel_series: ddi*d->d -- misc.h
itstruve0 -- itstruve0_wrap: d->d -- specfun_wrappers.h
it2struve0 -- it2struve0_wrap: d->d -- specfun_wrappers.h
itmodstruve0 -- itmodstruve0_wrap: d->d -- specfun_wrappers.h
kelvin -- kelvin_wrap: d*DDDD->*i -- specfun_wrappers.h
ber -- ber_wrap: d->d -- specfun_wrappers.h
bei -- bei_wrap: d->d -- specfun_wrappers.h
ker -- ker_wrap: d->d -- specfun_wrappers.h
kei -- kei_wrap: d->d -- specfun_wrappers.h
berp -- berp_wrap: d->d -- specfun_wrappers.h
beip -- beip_wrap: d->d -- specfun_wrappers.h
kerp -- kerp_wrap: d->d -- specfun_wrappers.h
keip -- keip_wrap: d->d -- specfun_wrappers.h
_zeta -- zeta: dd->d -- cephes.h
kolmogorov -- kolmogorov: d->d -- cephes.h
kolmogi -- kolmogi: d->d -- cephes.h
besselpoly -- besselpoly: ddd->d -- c_misc/misc.h
btdtria -- cdfbet3_wrap: ddd->d -- cdf_wrappers.h
btdtrib -- cdfbet4_wrap: ddd->d -- cdf_wrappers.h
bdtrik -- cdfbin2_wrap: ddd->d -- cdf_wrappers.h
bdtrin -- cdfbin3_wrap: ddd->d -- cdf_wrappers.h
chdtriv -- cdfchi3_wrap: dd->d -- cdf_wrappers.h
chndtr -- cdfchn1_wrap: ddd->d -- cdf_wrappers.h
chndtrix -- cdfchn2_wrap: ddd->d -- cdf_wrappers.h
chndtridf -- cdfchn3_wrap: ddd->d -- cdf_wrappers.h
chndtrinc -- cdfchn4_wrap: ddd->d -- cdf_wrappers.h
fdtridfd -- cdff4_wrap: ddd->d -- cdf_wrappers.h
ncfdtr -- cdffnc1_wrap: dddd->d -- cdf_wrappers.h
ncfdtri -- cdffnc2_wrap: dddd->d -- cdf_wrappers.h
ncfdtridfn -- cdffnc3_wrap: dddd->d -- cdf_wrappers.h
ncfdtridfd -- cdffnc4_wrap: dddd->d -- cdf_wrappers.h
ncfdtrinc -- cdffnc5_wrap: dddd->d -- cdf_wrappers.h
gdtrix -- cdfgam2_wrap: ddd->d -- cdf_wrappers.h
gdtrib -- cdfgam3_wrap: ddd->d -- cdf_wrappers.h
gdtria -- cdfgam4_wrap: ddd->d -- cdf_wrappers.h
nbdtrik -- cdfnbn2_wrap: ddd->d -- cdf_wrappers.h
nbdtrin -- cdfnbn3_wrap: ddd->d -- cdf_wrappers.h
nrdtrimn -- cdfnor3_wrap: ddd->d -- cdf_wrappers.h
nrdtrisd -- cdfnor4_wrap: ddd->d -- cdf_wrappers.h
pdtrik -- cdfpoi2_wrap: dd->d -- cdf_wrappers.h
stdtr -- cdft1_wrap: dd->d -- cdf_wrappers.h
stdtrit -- cdft2_wrap: dd->d -- cdf_wrappers.h
stdtridf -- cdft3_wrap: dd->d -- cdf_wrappers.h
nctdtr -- cdftnc1_wrap: ddd->d -- cdf_wrappers.h
nctdtrit -- cdftnc2_wrap: ddd->d -- cdf_wrappers.h
nctdtridf -- cdftnc3_wrap: ddd->d -- cdf_wrappers.h
nctdtrinc -- cdftnc4_wrap: ddd->d -- cdf_wrappers.h
tklmbda -- tukeylambdacdf: dd->d -- cdf_wrappers.h
mathieu_a -- cem_cva_wrap: dd->d -- specfun_wrappers.h
mathieu_b -- sem_cva_wrap: dd->d -- specfun_wrappers.h
mathieu_cem -- cem_wrap: ddd*dd->*i -- specfun_wrappers.h
mathieu_sem -- sem_wrap: ddd*dd->*i -- specfun_wrappers.h
mathieu_modcem1 -- mcm1_wrap: ddd*dd->*i -- specfun_wrappers.h
mathieu_modcem2 -- mcm2_wrap: ddd*dd->*i -- specfun_wrappers.h
mathieu_modsem1 -- msm1_wrap: ddd*dd->*i -- specfun_wrappers.h
mathieu_modsem2 -- msm2_wrap: ddd*dd->*i -- specfun_wrappers.h
lpmv -- pmv_wrap: ddd->d -- specfun_wrappers.h
pbwa -- pbwa_wrap: dd*dd->*i -- specfun_wrappers.h
pbdv -- pbdv_wrap: dd*dd->*i -- specfun_wrappers.h
pbvv -- pbvv_wrap: dd*dd->*i -- specfun_wrappers.h
pro_cv -- prolate_segv_wrap: ddd->d -- specfun_wrappers.h
obl_cv -- oblate_segv_wrap: ddd->d -- specfun_wrappers.h
pro_ang1_cv -- prolate_aswfa_wrap: ddddd*dd->*i -- specfun_wrappers.h
pro_rad1_cv -- prolate_radial1_wrap: ddddd*dd->*i -- specfun_wrappers.h
pro_rad2_cv -- prolate_radial2_wrap: ddddd*dd->*i -- specfun_wrappers.h
obl_ang1_cv -- oblate_aswfa_wrap: ddddd*dd->*i -- specfun_wrappers.h
obl_rad1_cv -- oblate_radial1_wrap: ddddd*dd->*i -- specfun_wrappers.h
obl_rad2_cv -- oblate_radial2_wrap: ddddd*dd->*i -- specfun_wrappers.h
pro_ang1 -- prolate_aswfa_nocv_wrap: dddd*d->d -- specfun_wrappers.h
pro_rad1 -- prolate_radial1_nocv_wrap: dddd*d->d -- specfun_wrappers.h
pro_rad2 -- prolate_radial2_nocv_wrap: dddd*d->d -- specfun_wrappers.h
obl_ang1 -- oblate_aswfa_nocv_wrap: dddd*d->d -- specfun_wrappers.h
obl_rad1 -- oblate_radial1_nocv_wrap: dddd*d->d -- specfun_wrappers.h
obl_rad2 -- oblate_radial2_nocv_wrap: dddd*d->d -- specfun_wrappers.h
modfresnelp -- modified_fresnel_plus_wrap: d*DD->*i -- specfun_wrappers.h
modfresnelm -- modified_fresnel_minus_wrap: d*DD->*i -- specfun_wrappers.h
wofz -- faddeeva_w: D->D -- _faddeeva.h++
erfc -- erfc: d->d, faddeeva_erfc: D->D -- cephes.h, _faddeeva.h++
erf -- erf: d->d, faddeeva_erf: D->D -- cephes.h, _faddeeva.h++
dawsn -- faddeeva_dawsn: d->d, faddeeva_dawsn_complex: D->D -- _faddeeva.h++
erfcx -- faddeeva_erfcx: d->d, faddeeva_erfcx_complex: D->D -- _faddeeva.h++
erfi -- faddeeva_erfi: d->d, faddeeva_erfi_complex: D->D -- _faddeeva.h++
xlogy -- xlogy[double]: dd->d, xlogy[double_complex]: DD->D -- _xlogy.pxd
xlog1py -- xlog1py[double]: dd->d, xlog1py[double_complex]: DD->D -- _xlogy.pxd
poch -- poch: dd->d -- c_misc/misc.h
boxcox -- boxcox: dd->d -- _boxcox.pxd
boxcox1p -- boxcox1p: dd->d -- _boxcox.pxd
inv_boxcox -- inv_boxcox: dd->d -- _boxcox.pxd
inv_boxcox1p -- inv_boxcox1p: dd->d -- _boxcox.pxd
entr -- entr: d->d -- _convex_analysis.pxd
kl_div -- kl_div: dd->d -- _convex_analysis.pxd
rel_entr -- rel_entr: dd->d -- _convex_analysis.pxd
huber -- huber: dd->d -- _convex_analysis.pxd
pseudo_huber -- pseudo_huber: dd->d -- _convex_analysis.pxd
exprel -- exprel: d->d -- _exprel.pxd
_spherical_yn -- spherical_yn_real: ld->d, spherical_yn_complex: lD->D -- _spherical_bessel.pxd
_spherical_jn -- spherical_jn_real: ld->d, spherical_jn_complex: lD->D -- _spherical_bessel.pxd
_spherical_in -- spherical_in_real: ld->d, spherical_in_complex: lD->D -- _spherical_bessel.pxd
_spherical_kn -- spherical_kn_real: ld->d, spherical_kn_complex: lD->D -- _spherical_bessel.pxd
_spherical_yn_d -- spherical_yn_d_real: ld->d, spherical_yn_d_complex: lD->D -- _spherical_bessel.pxd
_spherical_jn_d -- spherical_jn_d_real: ld->d, spherical_jn_d_complex: lD->D -- _spherical_bessel.pxd
_spherical_in_d -- spherical_in_d_real: ld->d, spherical_in_d_complex: lD->D -- _spherical_bessel.pxd
_spherical_kn_d -- spherical_kn_d_real: ld->d, spherical_kn_d_complex: lD->D -- _spherical_bessel.pxd
loggamma -- loggamma: D->D -- _loggamma.pxd
_sinpi -- sinpi[double]: d->d, sinpi[double_complex]: D->D -- _trig.pxd
_cospi -- cospi[double]: d->d, cospi[double_complex]: D->D -- _trig.pxd
"""
#---------------------------------------------------------------------------------
# Extra code
#---------------------------------------------------------------------------------
EXTRA_CODE_COMMON = """\
# This file is automatically generated by generate_ufuncs.py.
# Do not edit manually!
cdef extern from "_complexstuff.h":
# numpy/npy_math.h doesn't have correct extern "C" declarations,
# so we must include a wrapped version first
pass
cdef extern from "numpy/npy_math.h":
double NPY_NAN
cimport numpy as np
from numpy cimport (
npy_float, npy_double, npy_longdouble,
npy_cfloat, npy_cdouble, npy_clongdouble,
npy_int, npy_long,
NPY_FLOAT, NPY_DOUBLE, NPY_LONGDOUBLE,
NPY_CFLOAT, NPY_CDOUBLE, NPY_CLONGDOUBLE,
NPY_INT, NPY_LONG)
ctypedef double complex double_complex
cdef extern from "numpy/ufuncobject.h":
int PyUFunc_getfperr() nogil
cdef public int wrap_PyUFunc_getfperr() nogil:
\"\"\"
Call PyUFunc_getfperr in a context where PyUFunc_API array is initialized;
this avoids messing with the UNIQUE_SYMBOL #defines
\"\"\"
return PyUFunc_getfperr()
cimport libc
cimport sf_error
np.import_array()
np.import_ufunc()
cdef int _set_errprint(int flag) nogil:
return sf_error.set_print(flag)
"""
EXTRA_CODE = """
cimport scipy.special._ufuncs_cxx
def errprint(inflag=None):
\"\"\"
errprint(inflag=None)
Sets or returns the error printing flag for special functions.
Parameters
----------
inflag : bool, optional
Whether warnings concerning evaluation of special functions in
scipy.special are shown. If omitted, no change is made to the
current setting.
Returns
-------
old_flag
Previous value of the error flag
\"\"\"
if inflag is not None:
scipy.special._ufuncs_cxx._set_errprint(int(bool(inflag)))
return sf_error.set_print(int(bool(inflag)))
else:
return sf_error.get_print()
"""
EXTRA_CODE_BOTTOM = """\
#
# Aliases
#
jn = jv
"""
#---------------------------------------------------------------------------------
# Code generation
#---------------------------------------------------------------------------------
import os
import optparse
import re
import textwrap
add_newdocs = __import__('add_newdocs')
CY_TYPES = {
'f': 'float',
'd': 'double',
'g': 'long double',
'F': 'float complex',
'D': 'double complex',
'G': 'long double complex',
'i': 'int',
'l': 'long',
'v': 'void',
}
C_TYPES = {
'f': 'npy_float',
'd': 'npy_double',
'g': 'npy_longdouble',
'F': 'npy_cfloat',
'D': 'npy_cdouble',
'G': 'npy_clongdouble',
'i': 'npy_int',
'l': 'npy_long',
'v': 'void',
}
TYPE_NAMES = {
'f': 'NPY_FLOAT',
'd': 'NPY_DOUBLE',
'g': 'NPY_LONGDOUBLE',
'F': 'NPY_CFLOAT',
'D': 'NPY_CDOUBLE',
'G': 'NPY_CLONGDOUBLE',
'i': 'NPY_INT',
'l': 'NPY_LONG',
}
def cast_order(c):
return ['ilfdgFDG'.index(x) for x in c]
# These downcasts will cause the function to return NaNs, unless the
# values happen to coincide exactly.
DANGEROUS_DOWNCAST = set([
('F', 'i'), ('F', 'l'), ('F', 'f'), ('F', 'd'), ('F', 'g'),
('D', 'i'), ('D', 'l'), ('D', 'f'), ('D', 'd'), ('D', 'g'),
('G', 'i'), ('G', 'l'), ('G', 'f'), ('G', 'd'), ('G', 'g'),
('f', 'i'), ('f', 'l'),
('d', 'i'), ('d', 'l'),
('g', 'i'), ('g', 'l'),
('l', 'i'),
])
NAN_VALUE = {
'f': 'NPY_NAN',
'd': 'NPY_NAN',
'g': 'NPY_NAN',
'F': 'NPY_NAN',
'D': 'NPY_NAN',
'G': 'NPY_NAN',
'i': '0xbad0bad0',
'l': '0xbad0bad0',
}
def generate_loop(func_inputs, func_outputs, func_retval,
ufunc_inputs, ufunc_outputs):
"""
Generate a UFunc loop function that calls a function given as its
data parameter with the specified input and output arguments and
return value.
This function can be passed to PyUFunc_FromFuncAndData.
Parameters
----------
func_inputs, func_outputs, func_retval : str
Signature of the function to call, given as type codes of the
input, output and return value arguments. These 1-character
codes are given according to the CY_TYPES and TYPE_NAMES
lists above.
The corresponding C function signature to be called is:
retval func(intype1 iv1, intype2 iv2, ..., outtype1 *ov1, ...);
If len(ufunc_outputs) == len(func_outputs)+1, the return value
is treated as the first output argument. Otherwise, the return
value is ignored.
ufunc_inputs, ufunc_outputs : str
Ufunc input and output signature.
This does not have to exactly match the function signature,
as long as the type casts work out on the C level.
Returns
-------
loop_name
Name of the generated loop function.
loop_body
Generated C code for the loop.
"""
if len(func_inputs) != len(ufunc_inputs):
raise ValueError("Function and ufunc have different number of inputs")
if len(func_outputs) != len(ufunc_outputs) and not (
func_retval != "v" and len(func_outputs)+1 == len(ufunc_outputs)):
raise ValueError("Function retval and ufunc outputs don't match")
name = "loop_%s_%s_%s_As_%s_%s" % (
func_retval, func_inputs, func_outputs, ufunc_inputs, ufunc_outputs
)
body = "cdef void %s(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:\n" % name
body += " cdef np.npy_intp i, n = dims[0]\n"
body += " cdef void *func = (<void**>data)[0]\n"
body += " cdef char *func_name = <char*>(<void**>data)[1]\n"
for j in range(len(ufunc_inputs)):
body += " cdef char *ip%d = args[%d]\n" % (j, j)
for j in range(len(ufunc_outputs)):
body += " cdef char *op%d = args[%d]\n" % (j, j + len(ufunc_inputs))
ftypes = []
fvars = []
outtypecodes = []
for j in range(len(func_inputs)):
ftypes.append(CY_TYPES[func_inputs[j]])
fvars.append("<%s>(<%s*>ip%d)[0]" % (
CY_TYPES[func_inputs[j]],
CY_TYPES[ufunc_inputs[j]], j))
if len(func_outputs)+1 == len(ufunc_outputs):
func_joff = 1
outtypecodes.append(func_retval)
body += " cdef %s ov0\n" % (CY_TYPES[func_retval],)
else:
func_joff = 0
for j, outtype in enumerate(func_outputs):
body += " cdef %s ov%d\n" % (CY_TYPES[outtype], j+func_joff)
ftypes.append("%s *" % CY_TYPES[outtype])
fvars.append("&ov%d" % (j+func_joff))
outtypecodes.append(outtype)
body += " for i in range(n):\n"
if len(func_outputs)+1 == len(ufunc_outputs):
rv = "ov0 = "
else:
rv = ""
funcall = " %s(<%s(*)(%s) nogil>func)(%s)\n" % (
rv, CY_TYPES[func_retval], ", ".join(ftypes), ", ".join(fvars))
# Cast-check inputs and call function
input_checks = []
for j in range(len(func_inputs)):
if (ufunc_inputs[j], func_inputs[j]) in DANGEROUS_DOWNCAST:
chk = "<%s>(<%s*>ip%d)[0] == (<%s*>ip%d)[0]" % (
CY_TYPES[func_inputs[j]], CY_TYPES[ufunc_inputs[j]], j,
CY_TYPES[ufunc_inputs[j]], j)
input_checks.append(chk)
if input_checks:
body += " if %s:\n" % (" and ".join(input_checks))
body += " " + funcall
body += " else:\n"
body += " sf_error.error(func_name, sf_error.DOMAIN, \"invalid input argument\")\n"
for j, outtype in enumerate(outtypecodes):
body += " ov%d = <%s>%s\n" % (
j, CY_TYPES[outtype], NAN_VALUE[outtype])
else:
body += funcall
# Assign and cast-check output values
for j, (outtype, fouttype) in enumerate(zip(ufunc_outputs, outtypecodes)):
if (fouttype, outtype) in DANGEROUS_DOWNCAST:
body += " if ov%d == <%s>ov%d:\n" % (j, CY_TYPES[outtype], j)
body += " (<%s *>op%d)[0] = <%s>ov%d\n" % (
CY_TYPES[outtype], j, CY_TYPES[outtype], j)
body += " else:\n"
body += " sf_error.error(func_name, sf_error.DOMAIN, \"invalid output\")\n"
body += " (<%s *>op%d)[0] = <%s>%s\n" % (
CY_TYPES[outtype], j, CY_TYPES[outtype], NAN_VALUE[outtype])
else:
body += " (<%s *>op%d)[0] = <%s>ov%d\n" % (
CY_TYPES[outtype], j, CY_TYPES[outtype], j)
for j in range(len(ufunc_inputs)):
body += " ip%d += steps[%d]\n" % (j, j)
for j in range(len(ufunc_outputs)):
body += " op%d += steps[%d]\n" % (j, j + len(ufunc_inputs))
body += " sf_error.check_fpe(func_name)\n"
return name, body
def iter_variants(inputs, outputs):
"""
Generate variants of UFunc signatures, by changing variable types,
within the limitation that the corresponding C types casts still
work out.
This does not generate all possibilities, just the ones required
for the ufunc to work properly with the most common data types.
Parameters
----------
inputs, outputs : str
UFunc input and output signature strings
Yields
------
new_input, new_output : str
Modified input and output strings.
Also the original input/output pair is yielded.
"""
maps = [
# always use long instead of int (more common type on 64-bit)
('i', 'l'),
]
# float32-preserving signatures
if not ('i' in inputs or 'l' in inputs):
# Don't add float32 versions of ufuncs with integer arguments, as this
# can lead to incorrect dtype selection if the integer arguments are
# arrays, but float arguments are scalars.
# For instance sph_harm(0,[0],0,0).dtype == complex64
# This may be a Numpy bug, but we need to work around it.
# cf. gh-4895, https://github.com/numpy/numpy/issues/5895
maps = maps + [(a + 'dD', b + 'fF') for a, b in maps]
# do the replacements
for src, dst in maps:
new_inputs = inputs
new_outputs = outputs
for a, b in zip(src, dst):
new_inputs = new_inputs.replace(a, b)
new_outputs = new_outputs.replace(a, b)
yield new_inputs, new_outputs
class Ufunc(object):
"""
Ufunc signature, restricted format suitable for special functions.
Parameters
----------
name
Name of the ufunc to create
signature
String of form 'func: fff*ff->f, func2: ddd->*i' describing
the C-level functions and types of their input arguments
and return values.
The syntax is 'function_name: inputparams*outputparams->output_retval*ignored_retval'
Attributes
----------
name : str
Python name for the Ufunc
signatures : list of (func_name, inarg_spec, outarg_spec, ret_spec, header_name)
List of parsed signatures
doc : str
Docstring, obtained from add_newdocs
function_name_overrides : dict of str->str
Overrides for the function names in signatures
"""
def __init__(self, name, signatures, headers):
self.name = name
self.signatures = self._parse_signatures(signatures, headers)
self.doc = add_newdocs.get("scipy.special." + name)
if self.doc is None:
raise ValueError("No docstring for ufunc %r" % name)
self.doc = textwrap.dedent(self.doc).strip()
self.function_name_overrides = {}
def _parse_signatures(self, sigs_str, headers_str):
sigs = [x.strip() for x in sigs_str.split(",") if x.strip()]
headers = [x.strip() for x in headers_str.split(",") if x.strip()]
if len(headers) == 1:
headers = headers * len(sigs)
if len(headers) != len(sigs):
raise ValueError("%s: Number of headers and signatures doesn't match: %r -- %r" % (
self.name, sigs_str, headers_str))
return [self._parse_signature(x) + (h,) for x, h in zip(sigs, headers)]
def _parse_signature(self, sig):
m = re.match("\s*(.*):\s*([fdgFDGil]*)\s*\\*\s*([fdgFDGil]*)\s*->\s*([*fdgFDGil]*)\s*$", sig)
if m:
func, inarg, outarg, ret = [x.strip() for x in m.groups()]
if ret.count('*') > 1:
raise ValueError("%s: Invalid signature: %r" % (self.name, sig))
return (func, inarg, outarg, ret)
m = re.match("\s*(.*):\s*([fdgFDGil]*)\s*->\s*([fdgFDGil]?)\s*$", sig)
if m:
func, inarg, ret = [x.strip() for x in m.groups()]
return (func, inarg, "", ret)
raise ValueError("%s: Invalid signature: %r" % (self.name, sig))
def _get_signatures_and_loops(self, all_loops):
inarg_num = None
outarg_num = None
seen = set()
variants = []
def add_variant(func_name, inarg, outarg, ret, inp, outp):
if inp in seen:
return
seen.add(inp)
sig = (func_name, inp, outp)
if "v" in outp:
raise ValueError("%s: void signature %r" % (self.name, sig))
if len(inp) != inarg_num or len(outp) != outarg_num:
raise ValueError("%s: signature %r does not have %d/%d input/output args" % (
self.name, sig,
inarg_num, outarg_num))
loop_name, loop = generate_loop(inarg, outarg, ret, inp, outp)
all_loops[loop_name] = loop
variants.append((func_name, loop_name, inp, outp))
# First add base variants
for func_name, inarg, outarg, ret, header in self.signatures:
outp = re.sub(r'\*.*', '', ret) + outarg
ret = ret.replace('*', '')
if inarg_num is None:
inarg_num = len(inarg)
outarg_num = len(outp)
inp, outp = list(iter_variants(inarg, outp))[0]
add_variant(func_name, inarg, outarg, ret, inp, outp)
# Then the supplementary ones
for func_name, inarg, outarg, ret, header in self.signatures:
outp = re.sub(r'\*.*', '', ret) + outarg
ret = ret.replace('*', '')
for inp, outp in iter_variants(inarg, outp):
add_variant(func_name, inarg, outarg, ret, inp, outp)
# Then sort variants to input argument cast order
# -- the sort is stable, so functions earlier in the signature list
# are still preferred
variants.sort(key=lambda v: cast_order(v[2]))
return variants, inarg_num, outarg_num
def cython_func_name(self, c_name, specialized=False, prefix="_func_",
override=True):
# act on function name overrides
if override and c_name in self.function_name_overrides:
c_name = self.function_name_overrides[c_name]
prefix = ""
# support fused types
m = re.match(r'^(.*?)(\[.*\])$', c_name)
if m:
c_base_name, fused_part = m.groups()
else:
c_base_name, fused_part = c_name, ""
if specialized:
return "%s%s%s" % (prefix, c_base_name, fused_part.replace(' ', '_'))
else:
return "%s%s" % (prefix, c_base_name,)
def get_prototypes(self):
prototypes = []
for func_name, inarg, outarg, ret, header in self.signatures:
ret = ret.replace('*', '')
c_args = ([C_TYPES[x] for x in inarg]
+ [C_TYPES[x] + ' *' for x in outarg])
cy_args = ([CY_TYPES[x] for x in inarg]
+ [CY_TYPES[x] + ' *' for x in outarg])
c_proto = "%s (*)(%s)" % (C_TYPES[ret], ", ".join(c_args))
cy_proto = "%s (*)(%s) nogil" % (CY_TYPES[ret], ", ".join(cy_args))
prototypes.append((func_name, c_proto, cy_proto, header))
return prototypes
def generate(self, all_loops):
toplevel = ""
variants, inarg_num, outarg_num = self._get_signatures_and_loops(all_loops)
loops = []
funcs = []
types = []
for func_name, loop_name, inputs, outputs in variants:
for x in inputs:
types.append(TYPE_NAMES[x])
for x in outputs:
types.append(TYPE_NAMES[x])
loops.append(loop_name)
funcs.append(func_name)
toplevel += "cdef np.PyUFuncGenericFunction ufunc_%s_loops[%d]\n" % (self.name, len(loops))
toplevel += "cdef void *ufunc_%s_ptr[%d]\n" % (self.name, 2*len(funcs))
toplevel += "cdef void *ufunc_%s_data[%d]\n" % (self.name, len(funcs))
toplevel += "cdef char ufunc_%s_types[%d]\n" % (self.name, len(types))
toplevel += 'cdef char *ufunc_%s_doc = (\n "%s")\n' % (
self.name,
self.doc.replace("\\", "\\\\").replace('"', '\\"').replace('\n', '\\n\"\n "')
)
for j, function in enumerate(loops):
toplevel += "ufunc_%s_loops[%d] = <np.PyUFuncGenericFunction>%s\n" % (self.name, j, function)
for j, type in enumerate(types):
toplevel += "ufunc_%s_types[%d] = <char>%s\n" % (self.name, j, type)
for j, func in enumerate(funcs):
toplevel += "ufunc_%s_ptr[2*%d] = <void*>%s\n" % (self.name, j,
self.cython_func_name(func, specialized=True))
toplevel += "ufunc_%s_ptr[2*%d+1] = <void*>(<char*>\"%s\")\n" % (self.name, j,
self.name)
for j, func in enumerate(funcs):
toplevel += "ufunc_%s_data[%d] = &ufunc_%s_ptr[2*%d]\n" % (
self.name, j, self.name, j)
toplevel += ('@ = np.PyUFunc_FromFuncAndData(ufunc_@_loops, '
'ufunc_@_data, ufunc_@_types, %d, %d, %d, 0, '
'"@", ufunc_@_doc, 0)\n' % (len(types)/(inarg_num+outarg_num),
inarg_num, outarg_num)
).replace('@', self.name)
return toplevel
@classmethod
def parse_all(cls, ufunc_str):
ufuncs = []
lines = ufunc_str.splitlines()
lines.sort()
for line in lines:
line = line.strip()
if not line:
continue
m = re.match("^([a-z0-9_]+)\s*--\s*(.*?)\s*--(.*)$", line)
if not m:
raise ValueError("Unparseable line %r" % line)
ufuncs.append(cls(m.group(1), m.group(2), m.group(3)))
return ufuncs
def get_declaration(ufunc, c_name, c_proto, cy_proto, header, proto_h_filename):
"""
Construct a Cython declaration of a function coming either from a
pxd or a header file. Do sufficient tricks to enable compile-time
type checking against the signature expected by the ufunc.
"""
defs = []
defs_h = []
var_name = c_name.replace('[', '_').replace(']', '_').replace(' ', '_')
if header.endswith('.pxd'):
defs.append("from %s cimport %s as %s" % (
header[:-4], ufunc.cython_func_name(c_name, prefix=""),
ufunc.cython_func_name(c_name)))
# check function signature at compile time
proto_name = '_proto_%s_t' % var_name
defs.append("ctypedef %s" % (cy_proto.replace('(*)', proto_name)))
defs.append("cdef %s *%s_var = &%s" % (
proto_name, proto_name, ufunc.cython_func_name(c_name, specialized=True)))
else:
# redeclare the function, so that the assumed
# signature is checked at compile time
new_name = "%s \"%s\"" % (ufunc.cython_func_name(c_name), c_name)
defs.append("cdef extern from \"%s\":" % proto_h_filename)
defs.append(" cdef %s" % (cy_proto.replace('(*)', new_name)))
defs_h.append("#include \"%s\"" % header)
defs_h.append("%s;" % (c_proto.replace('(*)', c_name)))
return defs, defs_h, var_name
def generate(filename, cxx_fn_prefix, ufuncs):
proto_h_filename = os.path.splitext(filename)[0] + '_defs.h'
cxx_proto_h_filename = cxx_fn_prefix + '_defs.h'
cxx_pyx_filename = cxx_fn_prefix + ".pyx"
cxx_pxd_filename = cxx_fn_prefix + ".pxd"
toplevel = ""
# for _ufuncs*
defs = []
defs_h = []
all_loops = {}
# for _ufuncs_cxx*
cxx_defs = []
cxx_pxd_defs = ["cdef int _set_errprint(int flag) nogil"]
cxx_defs_h = []
ufuncs.sort(key=lambda u: u.name)
for ufunc in ufuncs:
# generate function declaration and type checking snippets
cfuncs = ufunc.get_prototypes()
for c_name, c_proto, cy_proto, header in cfuncs:
if header.endswith('++'):
header = header[:-2]
# for the CXX module
item_defs, item_defs_h, var_name = get_declaration(ufunc, c_name, c_proto, cy_proto,
header, cxx_proto_h_filename)
cxx_defs.extend(item_defs)
cxx_defs_h.extend(item_defs_h)
cxx_defs.append("cdef void *_export_%s = <void*>%s" % (
var_name, ufunc.cython_func_name(c_name, specialized=True, override=False)))
cxx_pxd_defs.append("cdef void *_export_%s" % (var_name,))
# let cython grab the function pointer from the c++ shared library
ufunc.function_name_overrides[c_name] = "scipy.special._ufuncs_cxx._export_" + var_name
else:
# usual case
item_defs, item_defs_h, _ = get_declaration(ufunc, c_name, c_proto, cy_proto, header,
proto_h_filename)
defs.extend(item_defs)
defs_h.extend(item_defs_h)
# ufunc creation code snippet
t = ufunc.generate(all_loops)
toplevel += t + "\n"
# Produce output
toplevel = "\n".join(sorted(all_loops.values()) + defs + [toplevel])
with open(filename, 'w') as f:
f.write(EXTRA_CODE_COMMON)
f.write(EXTRA_CODE)
f.write(toplevel)
f.write(EXTRA_CODE_BOTTOM)
defs_h = unique(defs_h)
with open(proto_h_filename, 'w') as f:
f.write("#ifndef UFUNCS_PROTO_H\n#define UFUNCS_PROTO_H 1\n")
f.write("\n".join(defs_h))
f.write("\n#endif\n")
cxx_defs_h = unique(cxx_defs_h)
with open(cxx_proto_h_filename, 'w') as f:
f.write("#ifndef UFUNCS_PROTO_H\n#define UFUNCS_PROTO_H 1\n")
f.write("\n".join(cxx_defs_h))
f.write("\n#endif\n")
with open(cxx_pyx_filename, 'w') as f:
f.write(EXTRA_CODE_COMMON)
f.write("\n".join(cxx_defs))
f.write("\n# distutils: language = c++\n")
with open(cxx_pxd_filename, 'w') as f:
f.write("\n".join(cxx_pxd_defs))
def unique(lst):
"""
Return a list without repeated entries (first occurrence is kept),
preserving order.
"""
seen = set()
new_lst = []
for item in lst:
if item in seen:
continue
seen.add(item)
new_lst.append(item)
return new_lst
def main():
p = optparse.OptionParser(usage=__doc__.strip())
options, args = p.parse_args()
if len(args) != 0:
p.error('invalid number of arguments')
ufuncs = Ufunc.parse_all(UFUNCS)
generate("_ufuncs.pyx", "_ufuncs_cxx", ufuncs)
if __name__ == "__main__":
main()
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