mirror of
https://github.com/jart/cosmopolitan.git
synced 2025-08-07 02:10:27 +00:00
complex math: csqrt.c now builds now that its deps have been added
Namely complex.h, complex_impl.h, and libm.h
This commit is contained in:
Steve Phillips
parent
c6cb0923c4
commit
6607faf377
4 changed files with 511 additions and 1 deletions
160
libc/tinymath/complex.h
Normal file
160
libc/tinymath/complex.h
Normal file
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@ -0,0 +1,160 @@
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/*-*- mode:c;indent-tabs-mode:t;c-basic-offset:8;tab-width:8;coding:utf-8 -*-│
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│vi: set et ft=c ts=8 tw=8 fenc=utf-8 :vi│
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╚──────────────────────────────────────────────────────────────────────────────╝
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│ │
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│ Musl Libc │
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│ Copyright © 2005-2014 Rich Felker, et al. │
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│ │
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│ Permission is hereby granted, free of charge, to any person obtaining │
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│ a copy of this software and associated documentation files (the │
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│ "Software"), to deal in the Software without restriction, including │
|
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│ without limitation the rights to use, copy, modify, merge, publish, │
|
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│ distribute, sublicense, and/or sell copies of the Software, and to │
|
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│ permit persons to whom the Software is furnished to do so, subject to │
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│ the following conditions: │
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│ │
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│ The above copyright notice and this permission notice shall be │
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│ included in all copies or substantial portions of the Software. │
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│ │
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│ THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, │
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│ EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF │
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│ MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. │
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│ IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY │
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│ CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, │
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│ TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE │
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│ SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. │
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│ │
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╚─────────────────────────────────────────────────────────────────────────────*/
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#ifndef _COMPLEX_H
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#define _COMPLEX_H
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#ifdef __cplusplus
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extern "C" {
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#endif
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#define complex _Complex
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#ifdef __GNUC__
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#define _Complex_I (__extension__ (0.0f+1.0fi))
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#else
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#define _Complex_I (0.0f+1.0fi)
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#endif
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#define I _Complex_I
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double complex cacos(double complex);
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float complex cacosf(float complex);
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long double complex cacosl(long double complex);
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double complex casin(double complex);
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float complex casinf(float complex);
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long double complex casinl(long double complex);
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double complex catan(double complex);
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float complex catanf(float complex);
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long double complex catanl(long double complex);
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double complex ccos(double complex);
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float complex ccosf(float complex);
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long double complex ccosl(long double complex);
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double complex csin(double complex);
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float complex csinf(float complex);
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long double complex csinl(long double complex);
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double complex ctan(double complex);
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float complex ctanf(float complex);
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long double complex ctanl(long double complex);
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double complex cacosh(double complex);
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float complex cacoshf(float complex);
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long double complex cacoshl(long double complex);
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double complex casinh(double complex);
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float complex casinhf(float complex);
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long double complex casinhl(long double complex);
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double complex catanh(double complex);
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float complex catanhf(float complex);
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long double complex catanhl(long double complex);
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double complex ccosh(double complex);
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float complex ccoshf(float complex);
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long double complex ccoshl(long double complex);
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double complex csinh(double complex);
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float complex csinhf(float complex);
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long double complex csinhl(long double complex);
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double complex ctanh(double complex);
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float complex ctanhf(float complex);
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long double complex ctanhl(long double complex);
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double complex cexp(double complex);
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float complex cexpf(float complex);
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long double complex cexpl(long double complex);
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double complex clog(double complex);
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float complex clogf(float complex);
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long double complex clogl(long double complex);
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double cabs(double complex);
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float cabsf(float complex);
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long double cabsl(long double complex);
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double complex cpow(double complex, double complex);
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float complex cpowf(float complex, float complex);
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long double complex cpowl(long double complex, long double complex);
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double complex csqrt(double complex);
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float complex csqrtf(float complex);
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long double complex csqrtl(long double complex);
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double carg(double complex);
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float cargf(float complex);
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long double cargl(long double complex);
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double cimag(double complex);
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float cimagf(float complex);
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long double cimagl(long double complex);
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double complex conj(double complex);
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float complex conjf(float complex);
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long double complex conjl(long double complex);
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double complex cproj(double complex);
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float complex cprojf(float complex);
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long double complex cprojl(long double complex);
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double creal(double complex);
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float crealf(float complex);
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long double creall(long double complex);
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#ifndef __cplusplus
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#define __CIMAG(x, t) \
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(+(union { _Complex t __z; t __xy[2]; }){(_Complex t)(x)}.__xy[1])
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#define creal(x) ((double)(x))
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#define crealf(x) ((float)(x))
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#define creall(x) ((long double)(x))
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#define cimag(x) __CIMAG(x, double)
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#define cimagf(x) __CIMAG(x, float)
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#define cimagl(x) __CIMAG(x, long double)
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#endif
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#if __STDC_VERSION__ >= 201112L
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#if defined(_Imaginary_I)
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#define __CMPLX(x, y, t) ((t)(x) + _Imaginary_I*(t)(y))
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#elif defined(__clang__)
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#define __CMPLX(x, y, t) (+(_Complex t){ (t)(x), (t)(y) })
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#else
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#define __CMPLX(x, y, t) (__builtin_complex((t)(x), (t)(y)))
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#endif
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#define CMPLX(x, y) __CMPLX(x, y, double)
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#define CMPLXF(x, y) __CMPLX(x, y, float)
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#define CMPLXL(x, y) __CMPLX(x, y, long double)
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#endif
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#ifdef __cplusplus
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}
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#endif
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#endif
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49
libc/tinymath/complex_impl.h
Normal file
49
libc/tinymath/complex_impl.h
Normal file
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@ -0,0 +1,49 @@
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/*-*- mode:c;indent-tabs-mode:t;c-basic-offset:8;tab-width:8;coding:utf-8 -*-│
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│vi: set et ft=c ts=8 tw=8 fenc=utf-8 :vi│
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╚──────────────────────────────────────────────────────────────────────────────╝
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│ │
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│ Musl Libc │
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│ Copyright © 2005-2014 Rich Felker, et al. │
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│ │
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│ Permission is hereby granted, free of charge, to any person obtaining │
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│ a copy of this software and associated documentation files (the │
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│ "Software"), to deal in the Software without restriction, including │
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│ without limitation the rights to use, copy, modify, merge, publish, │
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│ distribute, sublicense, and/or sell copies of the Software, and to │
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│ permit persons to whom the Software is furnished to do so, subject to │
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│ the following conditions: │
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│ │
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│ The above copyright notice and this permission notice shall be │
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│ included in all copies or substantial portions of the Software. │
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│ │
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│ THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, │
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│ EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF │
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│ MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. │
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│ IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY │
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│ CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, │
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│ TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE │
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│ SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. │
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│ │
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╚─────────────────────────────────────────────────────────────────────────────*/
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#ifndef _COMPLEX_IMPL_H
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#define _COMPLEX_IMPL_H
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#include <libc/tinymath/complex.h>
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#include "libm.h"
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#undef __CMPLX
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#undef CMPLX
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#undef CMPLXF
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#undef CMPLXL
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#define __CMPLX(x, y, t) \
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((union { _Complex t __z; t __xy[2]; }){.__xy = {(x),(y)}}.__z)
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#define CMPLX(x, y) __CMPLX(x, y, double)
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#define CMPLXF(x, y) __CMPLX(x, y, float)
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#define CMPLXL(x, y) __CMPLX(x, y, long double)
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hidden double complex __ldexp_cexp(double complex,int);
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hidden float complex __ldexp_cexpf(float complex,int);
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#endif
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@ -52,7 +52,7 @@
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* SUCH DAMAGE.
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*/
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#include "complex_impl.h"
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#include "libc/tinymath/complex_impl.h"
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/*
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* gcc doesn't implement complex multiplication or division correctly,
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301
libc/tinymath/libm.h
Normal file
301
libc/tinymath/libm.h
Normal file
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@ -0,0 +1,301 @@
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/*-*- mode:c;indent-tabs-mode:t;c-basic-offset:8;tab-width:8;coding:utf-8 -*-│
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│vi: set et ft=c ts=8 tw=8 fenc=utf-8 :vi│
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╚──────────────────────────────────────────────────────────────────────────────╝
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│ │
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│ Musl Libc │
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│ Copyright © 2005-2014 Rich Felker, et al. │
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│ │
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│ Permission is hereby granted, free of charge, to any person obtaining │
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│ a copy of this software and associated documentation files (the │
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│ "Software"), to deal in the Software without restriction, including │
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│ without limitation the rights to use, copy, modify, merge, publish, │
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│ distribute, sublicense, and/or sell copies of the Software, and to │
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│ permit persons to whom the Software is furnished to do so, subject to │
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│ the following conditions: │
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│ │
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│ The above copyright notice and this permission notice shall be │
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│ included in all copies or substantial portions of the Software. │
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│ │
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│ THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, │
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│ EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF │
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│ MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. │
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│ IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY │
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│ CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, │
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│ TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE │
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│ SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. │
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│ │
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╚─────────────────────────────────────────────────────────────────────────────*/
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#ifndef _LIBM_H
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#define _LIBM_H
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#include <libc/isystem/stdint.h>
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#include <libc/isystem/float.h>
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#include <libc/isystem/math.h>
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#include <libc/isystem/endian.h>
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// #include "fp_arch.h"
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#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
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#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
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union ldshape {
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long double f;
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struct {
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uint64_t m;
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uint16_t se;
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} i;
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};
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#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
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/* This is the m68k variant of 80-bit long double, and this definition only works
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* on archs where the alignment requirement of uint64_t is <= 4. */
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union ldshape {
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long double f;
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struct {
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uint16_t se;
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uint16_t pad;
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uint64_t m;
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} i;
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};
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#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
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union ldshape {
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long double f;
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struct {
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uint64_t lo;
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uint32_t mid;
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uint16_t top;
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uint16_t se;
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} i;
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struct {
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uint64_t lo;
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uint64_t hi;
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} i2;
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};
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#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
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union ldshape {
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long double f;
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struct {
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uint16_t se;
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uint16_t top;
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uint32_t mid;
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uint64_t lo;
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} i;
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struct {
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uint64_t hi;
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uint64_t lo;
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} i2;
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};
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#else
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#error Unsupported long double representation
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#endif
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/* Support non-nearest rounding mode. */
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#define WANT_ROUNDING 1
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/* Support signaling NaNs. */
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#define WANT_SNAN 0
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#if WANT_SNAN
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#error SNaN is unsupported
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#else
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#define issignalingf_inline(x) 0
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#define issignaling_inline(x) 0
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#endif
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#ifndef TOINT_INTRINSICS
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#define TOINT_INTRINSICS 0
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#endif
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#if TOINT_INTRINSICS
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/* Round x to nearest int in all rounding modes, ties have to be rounded
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consistently with converttoint so the results match. If the result
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would be outside of [-2^31, 2^31-1] then the semantics is unspecified. */
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static double_t roundtoint(double_t);
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/* Convert x to nearest int in all rounding modes, ties have to be rounded
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consistently with roundtoint. If the result is not representible in an
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int32_t then the semantics is unspecified. */
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static int32_t converttoint(double_t);
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#endif
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/* Helps static branch prediction so hot path can be better optimized. */
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#ifdef __GNUC__
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#define predict_true(x) __builtin_expect(!!(x), 1)
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#define predict_false(x) __builtin_expect(x, 0)
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#else
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#define predict_true(x) (x)
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#define predict_false(x) (x)
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#endif
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|
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/* Evaluate an expression as the specified type. With standard excess
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precision handling a type cast or assignment is enough (with
|
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-ffloat-store an assignment is required, in old compilers argument
|
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passing and return statement may not drop excess precision). */
|
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static inline float eval_as_float(float x)
|
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{
|
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float y = x;
|
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return y;
|
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}
|
||||
|
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static inline double eval_as_double(double x)
|
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{
|
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double y = x;
|
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return y;
|
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}
|
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|
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/* fp_barrier returns its input, but limits code transformations
|
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as if it had a side-effect (e.g. observable io) and returned
|
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an arbitrary value. */
|
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|
||||
#ifndef fp_barrierf
|
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#define fp_barrierf fp_barrierf
|
||||
static inline float fp_barrierf(float x)
|
||||
{
|
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volatile float y = x;
|
||||
return y;
|
||||
}
|
||||
#endif
|
||||
|
||||
#ifndef fp_barrier
|
||||
#define fp_barrier fp_barrier
|
||||
static inline double fp_barrier(double x)
|
||||
{
|
||||
volatile double y = x;
|
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return y;
|
||||
}
|
||||
#endif
|
||||
|
||||
#ifndef fp_barrierl
|
||||
#define fp_barrierl fp_barrierl
|
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static inline long double fp_barrierl(long double x)
|
||||
{
|
||||
volatile long double y = x;
|
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return y;
|
||||
}
|
||||
#endif
|
||||
|
||||
/* fp_force_eval ensures that the input value is computed when that's
|
||||
otherwise unused. To prevent the constant folding of the input
|
||||
expression, an additional fp_barrier may be needed or a compilation
|
||||
mode that does so (e.g. -frounding-math in gcc). Then it can be
|
||||
used to evaluate an expression for its fenv side-effects only. */
|
||||
|
||||
#ifndef fp_force_evalf
|
||||
#define fp_force_evalf fp_force_evalf
|
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static inline void fp_force_evalf(float x)
|
||||
{
|
||||
volatile float y;
|
||||
y = x;
|
||||
}
|
||||
#endif
|
||||
|
||||
#ifndef fp_force_eval
|
||||
#define fp_force_eval fp_force_eval
|
||||
static inline void fp_force_eval(double x)
|
||||
{
|
||||
volatile double y;
|
||||
y = x;
|
||||
}
|
||||
#endif
|
||||
|
||||
#ifndef fp_force_evall
|
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#define fp_force_evall fp_force_evall
|
||||
static inline void fp_force_evall(long double x)
|
||||
{
|
||||
volatile long double y;
|
||||
y = x;
|
||||
}
|
||||
#endif
|
||||
|
||||
#define FORCE_EVAL(x) do { \
|
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if (sizeof(x) == sizeof(float)) { \
|
||||
fp_force_evalf(x); \
|
||||
} else if (sizeof(x) == sizeof(double)) { \
|
||||
fp_force_eval(x); \
|
||||
} else { \
|
||||
fp_force_evall(x); \
|
||||
} \
|
||||
} while(0)
|
||||
|
||||
#define asuint(f) ((union{float _f; uint32_t _i;}){f})._i
|
||||
#define asfloat(i) ((union{uint32_t _i; float _f;}){i})._f
|
||||
#define asuint64(f) ((union{double _f; uint64_t _i;}){f})._i
|
||||
#define asdouble(i) ((union{uint64_t _i; double _f;}){i})._f
|
||||
|
||||
#define EXTRACT_WORDS(hi,lo,d) \
|
||||
do { \
|
||||
uint64_t __u = asuint64(d); \
|
||||
(hi) = __u >> 32; \
|
||||
(lo) = (uint32_t)__u; \
|
||||
} while (0)
|
||||
|
||||
#define GET_HIGH_WORD(hi,d) \
|
||||
do { \
|
||||
(hi) = asuint64(d) >> 32; \
|
||||
} while (0)
|
||||
|
||||
#define GET_LOW_WORD(lo,d) \
|
||||
do { \
|
||||
(lo) = (uint32_t)asuint64(d); \
|
||||
} while (0)
|
||||
|
||||
#define INSERT_WORDS(d,hi,lo) \
|
||||
do { \
|
||||
(d) = asdouble(((uint64_t)(hi)<<32) | (uint32_t)(lo)); \
|
||||
} while (0)
|
||||
|
||||
#define SET_HIGH_WORD(d,hi) \
|
||||
INSERT_WORDS(d, hi, (uint32_t)asuint64(d))
|
||||
|
||||
#define SET_LOW_WORD(d,lo) \
|
||||
INSERT_WORDS(d, asuint64(d)>>32, lo)
|
||||
|
||||
#define GET_FLOAT_WORD(w,d) \
|
||||
do { \
|
||||
(w) = asuint(d); \
|
||||
} while (0)
|
||||
|
||||
#define SET_FLOAT_WORD(d,w) \
|
||||
do { \
|
||||
(d) = asfloat(w); \
|
||||
} while (0)
|
||||
|
||||
hidden int __rem_pio2_large(double*,double*,int,int,int);
|
||||
|
||||
hidden int __rem_pio2(double,double*);
|
||||
hidden double __sin(double,double,int);
|
||||
hidden double __cos(double,double);
|
||||
hidden double __tan(double,double,int);
|
||||
hidden double __expo2(double,double);
|
||||
|
||||
hidden int __rem_pio2f(float,double*);
|
||||
hidden float __sindf(double);
|
||||
hidden float __cosdf(double);
|
||||
hidden float __tandf(double,int);
|
||||
hidden float __expo2f(float,float);
|
||||
|
||||
hidden int __rem_pio2l(long double, long double *);
|
||||
hidden long double __sinl(long double, long double, int);
|
||||
hidden long double __cosl(long double, long double);
|
||||
hidden long double __tanl(long double, long double, int);
|
||||
|
||||
hidden long double __polevll(long double, const long double *, int);
|
||||
hidden long double __p1evll(long double, const long double *, int);
|
||||
|
||||
extern int __signgam;
|
||||
hidden double __lgamma_r(double, int *);
|
||||
hidden float __lgammaf_r(float, int *);
|
||||
|
||||
/* error handling functions */
|
||||
hidden float __math_xflowf(uint32_t, float);
|
||||
hidden float __math_uflowf(uint32_t);
|
||||
hidden float __math_oflowf(uint32_t);
|
||||
hidden float __math_divzerof(uint32_t);
|
||||
hidden float __math_invalidf(float);
|
||||
hidden double __math_xflow(uint32_t, double);
|
||||
hidden double __math_uflow(uint32_t);
|
||||
hidden double __math_oflow(uint32_t);
|
||||
hidden double __math_divzero(uint32_t);
|
||||
hidden double __math_invalid(double);
|
||||
#if LDBL_MANT_DIG != DBL_MANT_DIG
|
||||
hidden long double __math_invalidl(long double);
|
||||
#endif
|
||||
|
||||
#endif
|
||||
Loading…
Add table
Add a link
Reference in a new issue