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347a5b592c
Converting double precision constants to float is now affected by the runtime dynamic rounding mode instead of being evaluated at compile time with default rounding mode (except static object initializers). This can change the computed result and cause performance regression. The known correctness issues (increased ulp errors) are already fixed, this patch fixes remaining cases of unnecessary runtime conversions. Add float M_* macros to math.h as new GNU extension API. To avoid conversions the new M_* macros are used and instead of casting double literals to float, use float literals (only required if the conversion is inexact). The patch was tested on aarch64 where the following symbols had new spurious conversion instructions that got fixed: __clog10f __gammaf_r_finite@GLIBC_2.17 __j0f_finite@GLIBC_2.17 __j1f_finite@GLIBC_2.17 __jnf_finite@GLIBC_2.17 __kernel_casinhf __lgamma_negf __log1pf __y0f_finite@GLIBC_2.17 __y1f_finite@GLIBC_2.17 cacosf cacoshf casinhf catanf catanhf clogf gammaf_positive Fixes bug 28713. Reviewed-by: Paul Zimmermann <Paul.Zimmermann@inria.fr>
117 lines
3.1 KiB
C
117 lines
3.1 KiB
C
/* s_log1pf.c -- float version of s_log1p.c.
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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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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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#include <float.h>
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#include <math.h>
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#include <math-barriers.h>
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#include <math_private.h>
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#include <math-underflow.h>
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#include <libc-diag.h>
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static const float
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ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
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ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
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two25 = 3.355443200e+07, /* 0x4c000000 */
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Lp1 = 6.6666668653e-01, /* 3F2AAAAB */
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Lp2 = 4.0000000596e-01, /* 3ECCCCCD */
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Lp3 = 2.8571429849e-01, /* 3E924925 */
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Lp4 = 2.2222198546e-01, /* 3E638E29 */
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Lp5 = 1.8183572590e-01, /* 3E3A3325 */
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Lp6 = 1.5313838422e-01, /* 3E1CD04F */
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Lp7 = 1.4798198640e-01; /* 3E178897 */
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static const float zero = 0.0;
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float
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__log1pf(float x)
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{
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float hfsq,f,c,s,z,R,u;
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int32_t k,hx,hu,ax;
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GET_FLOAT_WORD(hx,x);
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ax = hx&0x7fffffff;
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k = 1;
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if (hx < 0x3ed413d7) { /* x < 0.41422 */
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if(ax>=0x3f800000) { /* x <= -1.0 */
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if(x==(float)-1.0) return -two25/zero; /* log1p(-1)=-inf */
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else return (x-x)/(x-x); /* log1p(x<-1)=NaN */
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}
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if(ax<0x31000000) { /* |x| < 2**-29 */
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math_force_eval(two25+x); /* raise inexact */
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if (ax<0x24800000) /* |x| < 2**-54 */
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{
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math_check_force_underflow (x);
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return x;
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}
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else
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return x - x*x*(float)0.5;
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}
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if(hx>0||hx<=((int32_t)0xbe95f61f)) {
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k=0;f=x;hu=1;} /* -0.2929<x<0.41422 */
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}
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if (hx >= 0x7f800000) return x+x;
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if(k!=0) {
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if(hx<0x5a000000) {
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u = (float)1.0+x;
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GET_FLOAT_WORD(hu,u);
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k = (hu>>23)-127;
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/* correction term */
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c = (k>0)? (float)1.0-(u-x):x-(u-(float)1.0);
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c /= u;
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} else {
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u = x;
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GET_FLOAT_WORD(hu,u);
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k = (hu>>23)-127;
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c = 0;
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}
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hu &= 0x007fffff;
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if(hu<0x3504f7) {
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SET_FLOAT_WORD(u,hu|0x3f800000);/* normalize u */
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} else {
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k += 1;
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SET_FLOAT_WORD(u,hu|0x3f000000); /* normalize u/2 */
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hu = (0x00800000-hu)>>2;
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}
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f = u-(float)1.0;
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}
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hfsq=(float)0.5*f*f;
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if(hu==0) { /* |f| < 2**-20 */
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if(f==zero) {
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if(k==0) return zero;
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else {c += k*ln2_lo; return k*ln2_hi+c;}
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}
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R = hfsq*(1.0f-0.66666666666666666f*f);
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if(k==0) return f-R; else
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return k*ln2_hi-((R-(k*ln2_lo+c))-f);
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}
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s = f/((float)2.0+f);
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z = s*s;
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R = z*(Lp1+z*(Lp2+z*(Lp3+z*(Lp4+z*(Lp5+z*(Lp6+z*Lp7))))));
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if (k == 0)
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return f - (hfsq - s * (hfsq + R));
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else
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{
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/* With GCC 7 when compiling with -Os the compiler warns
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that c might be used uninitialized. This can't be true
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because k must be 0 for c to be uninitialized and we
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handled that computation earlier without using c. */
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DIAG_PUSH_NEEDS_COMMENT;
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DIAG_IGNORE_Os_NEEDS_COMMENT (7, "-Wmaybe-uninitialized");
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return k * ln2_hi - ((hfsq - (s * (hfsq + R)
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+ (k * ln2_lo + c))) - f);
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DIAG_POP_NEEDS_COMMENT;
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}
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}
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