1996-03-05 21:41:30 +00:00
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/* e_atan2f.c -- float version of e_atan2.c.
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* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
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*/
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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1997-07-22 00:10:33 +00:00
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* software is freely granted, provided that this notice
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1996-03-05 21:41:30 +00:00
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* is preserved.
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* ====================================================
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*/
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2012-03-09 19:29:16 +00:00
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#include <math.h>
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#include <math_private.h>
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1996-03-05 21:41:30 +00:00
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1997-07-22 00:10:33 +00:00
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static const float
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1996-03-05 21:41:30 +00:00
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tiny = 1.0e-30,
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zero = 0.0,
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1997-07-22 00:10:33 +00:00
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pi_o_4 = 7.8539818525e-01, /* 0x3f490fdb */
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pi_o_2 = 1.5707963705e+00, /* 0x3fc90fdb */
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pi = 3.1415927410e+00, /* 0x40490fdb */
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2005-07-20 18:02:49 +00:00
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pi_lo = -8.7422776573e-08; /* 0xb3bbbd2e */
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1996-03-05 21:41:30 +00:00
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2011-10-12 15:27:51 +00:00
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float
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__ieee754_atan2f (float y, float x)
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1997-07-22 00:10:33 +00:00
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{
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1996-03-05 21:41:30 +00:00
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float z;
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int32_t k,m,hx,hy,ix,iy;
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GET_FLOAT_WORD(hx,x);
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ix = hx&0x7fffffff;
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GET_FLOAT_WORD(hy,y);
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iy = hy&0x7fffffff;
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if((ix>0x7f800000)||
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(iy>0x7f800000)) /* x or y is NaN */
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return x+y;
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Sat Mar 16 20:08:22 1996 David Mosberger-Tang <davidm@azstarnet.com>
* sysdeps/alpha/memchr.S: new file.
* sysdeps/alpha/memchr.c: obsolete file removed.
Sat Mar 16 16:26:09 1996 Roland McGrath <roland@charlie-brown.gnu.ai.mit.edu>
* misc/Makefile (headers): Add sysexits.h.
* misc/sysexits.h: New file.
Thu Mar 14 15:20:45 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de>
* sysdeps/libm-ieee754/e_atan2.c (__ieee754_atan2): Change atan
call to __atan.
* sysdeps/libm-ieee754/e_atan2f.c (__ieee754_atan2f): Change atanf
call to __atanf.
* sysdeps/m68k/fpu/e_acos.c, sysdeps/m68k/fpu/e_acosf.c,
sysdeps/m68k/fpu/e_asin.c, sysdeps/m68k/fpu/e_asinf.c,
sysdeps/m68k/fpu/e_atanh.c, sysdeps/m68k/fpu/e_atanhf.c,
sysdeps/m68k/fpu/e_cosh.c, sysdeps/m68k/fpu/e_coshf.c,
sysdeps/m68k/fpu/e_exp.c, sysdeps/m68k/fpu/e_expf.c,
sysdeps/m68k/fpu/e_fmod.c, sysdeps/m68k/fpu/e_fmodf.c,
sysdeps/m68k/fpu/e_log.c, sysdeps/m68k/fpu/e_log10.c,
sysdeps/m68k/fpu/e_log10f.c, sysdeps/m68k/fpu/e_logf.c,
sysdeps/m68k/fpu/e_pow.c, sysdeps/m68k/fpu/e_powf.c,
sysdeps/m68k/fpu/e_remainder.c, sysdeps/m68k/fpu/e_remainderf.c,
sysdeps/m68k/fpu/e_scalb.c, sysdeps/m68k/fpu/e_scalbf.c,
sysdeps/m68k/fpu/e_sinh.c, sysdeps/m68k/fpu/e_sinhf.c,
sysdeps/m68k/fpu/e_sqrt.c, sysdeps/m68k/fpu/e_sqrtf.c,
sysdeps/m68k/fpu/k_cos.c, sysdeps/m68k/fpu/k_cosf.c,
sysdeps/m68k/fpu/k_sin.c, sysdeps/m68k/fpu/k_sinf.c,
sysdeps/m68k/fpu/k_tan.c, sysdeps/m68k/fpu/k_tanf.c,
sysdeps/m68k/fpu/s_atan.c, sysdeps/m68k/fpu/s_atanf.c,
sysdeps/m68k/fpu/s_ceil.c, sysdeps/m68k/fpu/s_ceilf.c,
sysdeps/m68k/fpu/s_cos.c, sysdeps/m68k/fpu/s_cosf.c,
sysdeps/m68k/fpu/s_expm1.c, sysdeps/m68k/fpu/s_expm1f.c,
sysdeps/m68k/fpu/s_fabs.c, sysdeps/m68k/fpu/s_fabsf.c,
sysdeps/m68k/fpu/s_finite.c, sysdeps/m68k/fpu/s_finitef.c,
sysdeps/m68k/fpu/s_floor.c, sysdeps/m68k/fpu/s_floorf.c,
sysdeps/m68k/fpu/s_frexp.c, sysdeps/m68k/fpu/s_frexpf.c,
sysdeps/m68k/fpu/s_ilogb.c, sysdeps/m68k/fpu/s_ilogbf.c,
sysdeps/m68k/fpu/s_isinf.c, sysdeps/m68k/fpu/s_isinff.c,
sysdeps/m68k/fpu/s_isnan.c, sysdeps/m68k/fpu/s_isnanf.c,
sysdeps/m68k/fpu/s_ldexp.c, sysdeps/m68k/fpu/s_ldexpf.c,
sysdeps/m68k/fpu/s_log1p.c, sysdeps/m68k/fpu/s_log1pf.c,
sysdeps/m68k/fpu/s_logb.c, sysdeps/m68k/fpu/s_logbf.c,
sysdeps/m68k/fpu/s_modf.c, sysdeps/m68k/fpu/s_modff.c,
sysdeps/m68k/fpu/s_rint.c, sysdeps/m68k/fpu/s_rintf.c,
sysdeps/m68k/fpu/s_scalbn.c, sysdeps/m68k/fpu/s_scalbnf.c,
sysdeps/m68k/fpu/s_significand.c,
sysdeps/m68k/fpu/s_significandf.c, sysdeps/m68k/fpu/s_sin.c,
sysdeps/m68k/fpu/s_sinf.c, sysdeps/m68k/fpu/s_tan.c,
sysdeps/m68k/fpu/s_tanf.c, sysdeps/m68k/fpu/s_tanh.c,
sysdeps/m68k/fpu/s_tanhf.c: New files, for m68881 port of fdlibm.
* sysdeps/m68k/fpu/__math.h: Rewritten for fdlibm.
* sysdeps/m68k/fpu/isinfl.c: Rewritten to get argument type right.
* sysdeps/m68k/fpu/isnanl.c: Likewise.
Thu Mar 14 06:01:07 1996 Roland McGrath <roland@charlie-brown.gnu.ai.mit.edu>
* posix/glob.c (glob): In GLOB_BRACE brace expansion, fix buffer size
calculation to include trailing invariant portion. Don't use alloca;
instead use a dynamic auto array for GCC, malloc for non-GCC.
Handle nested braces properly.
* elf/elf.h (Elf32_auxv_t): Specify prototype (void) for `a_un.a_fcn'.
* libc-symbols.h (lint): New macro.
Fri Mar 15 01:18:00 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de>
* libio/iosetvbuf.c: Add weak alias setvbuf.
1996-03-17 01:58:17 +00:00
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if(hx==0x3f800000) return __atanf(y); /* x=1.0 */
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1996-03-05 21:41:30 +00:00
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m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
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/* when y = 0 */
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if(iy==0) {
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switch(m) {
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1997-07-22 00:10:33 +00:00
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case 0:
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2011-10-12 15:27:51 +00:00
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case 1: return y; /* atan(+-0,+anything)=+-0 */
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1996-03-05 21:41:30 +00:00
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case 2: return pi+tiny;/* atan(+0,-anything) = pi */
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case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
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}
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}
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/* when x = 0 */
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if(ix==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
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1997-07-22 00:10:33 +00:00
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1996-03-05 21:41:30 +00:00
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/* when x is INF */
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if(ix==0x7f800000) {
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if(iy==0x7f800000) {
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switch(m) {
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case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
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case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
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case 2: return (float)3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
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case 3: return (float)-3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
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}
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} else {
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switch(m) {
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case 0: return zero ; /* atan(+...,+INF) */
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case 1: return -zero ; /* atan(-...,+INF) */
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case 2: return pi+tiny ; /* atan(+...,-INF) */
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case 3: return -pi-tiny ; /* atan(-...,-INF) */
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}
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}
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}
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/* when y is INF */
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if(iy==0x7f800000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
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/* compute y/x */
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k = (iy-ix)>>23;
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2011-10-12 15:27:51 +00:00
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if(k > 60) z=pi_o_2+(float)0.5*pi_lo; /* |y/x| > 2**60 */
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else if(hx<0&&k<-60) z=0.0; /* |y|/x < -2**60 */
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Sat Mar 16 20:08:22 1996 David Mosberger-Tang <davidm@azstarnet.com>
* sysdeps/alpha/memchr.S: new file.
* sysdeps/alpha/memchr.c: obsolete file removed.
Sat Mar 16 16:26:09 1996 Roland McGrath <roland@charlie-brown.gnu.ai.mit.edu>
* misc/Makefile (headers): Add sysexits.h.
* misc/sysexits.h: New file.
Thu Mar 14 15:20:45 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de>
* sysdeps/libm-ieee754/e_atan2.c (__ieee754_atan2): Change atan
call to __atan.
* sysdeps/libm-ieee754/e_atan2f.c (__ieee754_atan2f): Change atanf
call to __atanf.
* sysdeps/m68k/fpu/e_acos.c, sysdeps/m68k/fpu/e_acosf.c,
sysdeps/m68k/fpu/e_asin.c, sysdeps/m68k/fpu/e_asinf.c,
sysdeps/m68k/fpu/e_atanh.c, sysdeps/m68k/fpu/e_atanhf.c,
sysdeps/m68k/fpu/e_cosh.c, sysdeps/m68k/fpu/e_coshf.c,
sysdeps/m68k/fpu/e_exp.c, sysdeps/m68k/fpu/e_expf.c,
sysdeps/m68k/fpu/e_fmod.c, sysdeps/m68k/fpu/e_fmodf.c,
sysdeps/m68k/fpu/e_log.c, sysdeps/m68k/fpu/e_log10.c,
sysdeps/m68k/fpu/e_log10f.c, sysdeps/m68k/fpu/e_logf.c,
sysdeps/m68k/fpu/e_pow.c, sysdeps/m68k/fpu/e_powf.c,
sysdeps/m68k/fpu/e_remainder.c, sysdeps/m68k/fpu/e_remainderf.c,
sysdeps/m68k/fpu/e_scalb.c, sysdeps/m68k/fpu/e_scalbf.c,
sysdeps/m68k/fpu/e_sinh.c, sysdeps/m68k/fpu/e_sinhf.c,
sysdeps/m68k/fpu/e_sqrt.c, sysdeps/m68k/fpu/e_sqrtf.c,
sysdeps/m68k/fpu/k_cos.c, sysdeps/m68k/fpu/k_cosf.c,
sysdeps/m68k/fpu/k_sin.c, sysdeps/m68k/fpu/k_sinf.c,
sysdeps/m68k/fpu/k_tan.c, sysdeps/m68k/fpu/k_tanf.c,
sysdeps/m68k/fpu/s_atan.c, sysdeps/m68k/fpu/s_atanf.c,
sysdeps/m68k/fpu/s_ceil.c, sysdeps/m68k/fpu/s_ceilf.c,
sysdeps/m68k/fpu/s_cos.c, sysdeps/m68k/fpu/s_cosf.c,
sysdeps/m68k/fpu/s_expm1.c, sysdeps/m68k/fpu/s_expm1f.c,
sysdeps/m68k/fpu/s_fabs.c, sysdeps/m68k/fpu/s_fabsf.c,
sysdeps/m68k/fpu/s_finite.c, sysdeps/m68k/fpu/s_finitef.c,
sysdeps/m68k/fpu/s_floor.c, sysdeps/m68k/fpu/s_floorf.c,
sysdeps/m68k/fpu/s_frexp.c, sysdeps/m68k/fpu/s_frexpf.c,
sysdeps/m68k/fpu/s_ilogb.c, sysdeps/m68k/fpu/s_ilogbf.c,
sysdeps/m68k/fpu/s_isinf.c, sysdeps/m68k/fpu/s_isinff.c,
sysdeps/m68k/fpu/s_isnan.c, sysdeps/m68k/fpu/s_isnanf.c,
sysdeps/m68k/fpu/s_ldexp.c, sysdeps/m68k/fpu/s_ldexpf.c,
sysdeps/m68k/fpu/s_log1p.c, sysdeps/m68k/fpu/s_log1pf.c,
sysdeps/m68k/fpu/s_logb.c, sysdeps/m68k/fpu/s_logbf.c,
sysdeps/m68k/fpu/s_modf.c, sysdeps/m68k/fpu/s_modff.c,
sysdeps/m68k/fpu/s_rint.c, sysdeps/m68k/fpu/s_rintf.c,
sysdeps/m68k/fpu/s_scalbn.c, sysdeps/m68k/fpu/s_scalbnf.c,
sysdeps/m68k/fpu/s_significand.c,
sysdeps/m68k/fpu/s_significandf.c, sysdeps/m68k/fpu/s_sin.c,
sysdeps/m68k/fpu/s_sinf.c, sysdeps/m68k/fpu/s_tan.c,
sysdeps/m68k/fpu/s_tanf.c, sysdeps/m68k/fpu/s_tanh.c,
sysdeps/m68k/fpu/s_tanhf.c: New files, for m68881 port of fdlibm.
* sysdeps/m68k/fpu/__math.h: Rewritten for fdlibm.
* sysdeps/m68k/fpu/isinfl.c: Rewritten to get argument type right.
* sysdeps/m68k/fpu/isnanl.c: Likewise.
Thu Mar 14 06:01:07 1996 Roland McGrath <roland@charlie-brown.gnu.ai.mit.edu>
* posix/glob.c (glob): In GLOB_BRACE brace expansion, fix buffer size
calculation to include trailing invariant portion. Don't use alloca;
instead use a dynamic auto array for GCC, malloc for non-GCC.
Handle nested braces properly.
* elf/elf.h (Elf32_auxv_t): Specify prototype (void) for `a_un.a_fcn'.
* libc-symbols.h (lint): New macro.
Fri Mar 15 01:18:00 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de>
* libio/iosetvbuf.c: Add weak alias setvbuf.
1996-03-17 01:58:17 +00:00
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else z=__atanf(fabsf(y/x)); /* safe to do y/x */
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1996-03-05 21:41:30 +00:00
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switch (m) {
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case 0: return z ; /* atan(+,+) */
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case 1: {
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2017-08-03 19:55:04 +00:00
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uint32_t zh;
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1996-03-05 21:41:30 +00:00
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GET_FLOAT_WORD(zh,z);
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SET_FLOAT_WORD(z,zh ^ 0x80000000);
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}
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return z ; /* atan(-,+) */
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case 2: return pi-(z-pi_lo);/* atan(+,-) */
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default: /* case 3 */
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2011-10-12 15:27:51 +00:00
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return (z-pi_lo)-pi;/* atan(-,-) */
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1996-03-05 21:41:30 +00:00
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}
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}
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2011-10-12 15:27:51 +00:00
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strong_alias (__ieee754_atan2f, __atan2f_finite)
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