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📄 catrig.c(18.56 KB)
📄 catrigf.c(9.27 KB)
📄 catrigl.c(10.37 KB)
📄 e_acos.c(3.38 KB)
📄 e_acosf.c(1.99 KB)
📄 e_acosh.c(1.63 KB)
📄 e_acoshf.c(1.27 KB)
📄 e_acoshl.c(2.19 KB)
📄 e_acosl.c(2.16 KB)
📄 e_asin.c(3.55 KB)
📄 e_asinf.c(1.58 KB)
📄 e_asinl.c(1.85 KB)
📄 e_atan2.c(3.74 KB)
📄 e_atan2f.c(2.63 KB)
📄 e_atan2l.c(3.42 KB)
📄 e_atanh.c(1.64 KB)
📄 e_atanhf.c(1.12 KB)
📄 e_atanhl.c(1.76 KB)
📄 e_cosh.c(2.21 KB)
📄 e_coshf.c(1.45 KB)
📄 e_coshl.c(4 KB)
📄 e_exp.c(5.07 KB)
📄 e_expf.c(2.7 KB)
📄 e_fmod.c(3.34 KB)
📄 e_fmodf.c(2.59 KB)
📄 e_fmodl.c(3.77 KB)
📄 e_gamma.c(725 B)
📄 e_gamma_r.c(801 B)
📄 e_gammaf.c(814 B)
📄 e_gammaf_r.c(890 B)
📄 e_hypot.c(3.22 KB)
📄 e_hypotf.c(2.15 KB)
📄 e_hypotl.c(3.16 KB)
📄 e_j0.c(14.39 KB)
📄 e_j0f.c(10.31 KB)
📄 e_j1.c(14.12 KB)
📄 e_j1f.c(9.98 KB)
📄 e_jn.c(7.08 KB)
📄 e_jnf.c(4.75 KB)
📄 e_lgamma.c(819 B)
📄 e_lgamma_r.c(10.7 KB)
📄 e_lgammaf.c(820 B)
📄 e_lgammaf_r.c(5.82 KB)
📄 e_lgammal.c(599 B)
📄 e_log.c(4.42 KB)
📄 e_log10.c(2.5 KB)
📄 e_log10f.c(1.93 KB)
📄 e_log2.c(3.64 KB)
📄 e_log2f.c(2.37 KB)
📄 e_logf.c(2.36 KB)
📄 e_pow.c(9.84 KB)
📄 e_powf.c(7.34 KB)
📄 e_rem_pio2.c(4.7 KB)
📄 e_rem_pio2f.c(1.96 KB)
📄 e_remainder.c(1.75 KB)
📄 e_remainderf.c(1.41 KB)
📄 e_remainderl.c(1.55 KB)
📄 e_scalb.c(1.07 KB)
📄 e_scalbf.c(1.06 KB)
📄 e_sinh.c(2.03 KB)
📄 e_sinhf.c(1.43 KB)
📄 e_sinhl.c(4.12 KB)
📄 e_sqrt.c(14.12 KB)
📄 e_sqrtf.c(1.91 KB)
📄 e_sqrtl.c(4.28 KB)
📄 fenv-softfloat.h(4.96 KB)
📄 imprecise.c(2.08 KB)
📄 k_cos.c(2.75 KB)
📄 k_cosf.c(1.23 KB)
📄 k_exp.c(3.55 KB)
📄 k_expf.c(2.67 KB)
📄 k_log.h(3.34 KB)
📄 k_logf.h(992 B)
📄 k_rem_pio2.c(15.51 KB)
📄 k_sin.c(2.27 KB)
📄 k_sincos.h(1.7 KB)
📄 k_sincosf.h(1.38 KB)
📄 k_sincosl.h(4.82 KB)
📄 k_sinf.c(1.21 KB)
📄 k_tan.c(3.93 KB)
📄 k_tanf.c(1.97 KB)
📄 math.h(13.92 KB)
📄 math_private.h(24.72 KB)
📄 s_asinh.c(1.64 KB)
📄 s_asinhf.c(1.32 KB)
📄 s_asinhl.c(2.41 KB)
📄 s_atan.c(4.08 KB)
📄 s_atanf.c(2.42 KB)
📄 s_atanl.c(2.32 KB)
📄 s_carg.c(1.55 KB)
📄 s_cargf.c(1.55 KB)
📄 s_cargl.c(1.57 KB)
📄 s_cbrt.c(4.03 KB)
📄 s_cbrtf.c(1.85 KB)
📄 s_cbrtl.c(3.34 KB)
📄 s_ccosh.c(5.01 KB)
📄 s_ccoshf.c(3.08 KB)
📄 s_ceil.c(1.73 KB)
📄 s_ceilf.c(1.24 KB)
📄 s_ceill.c(2.38 KB)
📄 s_cexp.c(2.88 KB)
📄 s_cexpf.c(2.85 KB)
📄 s_cimag.c(1.53 KB)
📄 s_cimagf.c(1.53 KB)
📄 s_cimagl.c(1.55 KB)
📄 s_clog.c(5.06 KB)
📄 s_clogf.c(5.01 KB)
📄 s_clogl.c(5.49 KB)
📄 s_conj.c(1.51 KB)
📄 s_conjf.c(1.52 KB)
📄 s_conjl.c(1.53 KB)
📄 s_copysign.c(808 B)
📄 s_copysignf.c(905 B)
📄 s_copysignl.c(1.57 KB)
📄 s_cos.c(2.19 KB)
📄 s_cosf.c(2.2 KB)
📄 s_cosl.c(2.55 KB)
📄 s_cpow.c(1.8 KB)
📄 s_cpowf.c(1.79 KB)
📄 s_cpowl.c(1.83 KB)
📄 s_cproj.c(1.74 KB)
📄 s_cprojf.c(1.66 KB)
📄 s_cprojl.c(1.68 KB)
📄 s_creal.c(1.45 KB)
📄 s_crealf.c(1.45 KB)
📄 s_creall.c(1.46 KB)
📄 s_csinh.c(5.01 KB)
📄 s_csinhf.c(3.06 KB)
📄 s_csqrt.c(3.29 KB)
📄 s_csqrtf.c(2.65 KB)
📄 s_csqrtl.c(3.78 KB)
📄 s_ctanh.c(4.32 KB)
📄 s_ctanhf.c(2.45 KB)
📄 s_erf.c(11 KB)
📄 s_erff.c(5.11 KB)
📄 s_exp2.c(14.03 KB)
📄 s_exp2f.c(4.14 KB)
📄 s_expm1.c(7.18 KB)
📄 s_expm1f.c(3.41 KB)
📄 s_fabs.c(677 B)
📄 s_fabsf.c(765 B)
📄 s_fabsl.c(1.68 KB)
📄 s_fdim.c(1.7 KB)
📄 s_finite.c(700 B)
📄 s_finitef.c(796 B)
📄 s_floor.c(1.74 KB)
📄 s_floorf.c(1.41 KB)
📄 s_floorl.c(2.38 KB)
📄 s_fma.c(7.92 KB)
📄 s_fmaf.c(2.57 KB)
📄 s_fmal.c(7.38 KB)
📄 s_fmax.c(2.01 KB)
📄 s_fmaxf.c(1.88 KB)
📄 s_fmaxl.c(1.98 KB)
📄 s_fmin.c(2.01 KB)
📄 s_fminf.c(1.88 KB)
📄 s_fminl.c(1.98 KB)
📄 s_frexp.c(1.31 KB)
📄 s_frexpf.c(1.02 KB)
📄 s_frexpl.c(2 KB)
📄 s_ilogb.c(1.14 KB)
📄 s_ilogbf.c(976 B)
📄 s_ilogbl.c(1.21 KB)
📄 s_isfinite.c(1.72 KB)
📄 s_isnan.c(2.1 KB)
📄 s_isnormal.c(1.78 KB)
📄 s_llrint.c(156 B)
📄 s_llrintf.c(157 B)
📄 s_llrintl.c(163 B)
📄 s_llround.c(215 B)
📄 s_llroundf.c(216 B)
📄 s_llroundl.c(222 B)
📄 s_log1p.c(5.6 KB)
📄 s_log1pf.c(3.14 KB)
📄 s_logb.c(1.13 KB)
📄 s_logbf.c(1023 B)
📄 s_logbl.c(1.24 KB)
📄 s_lrint.c(2.1 KB)
📄 s_lrintf.c(151 B)
📄 s_lrintl.c(157 B)
📄 s_lround.c(2.45 KB)
📄 s_lroundf.c(208 B)
📄 s_lroundl.c(214 B)
📄 s_modf.c(1.88 KB)
📄 s_modff.c(1.39 KB)
📄 s_modfl.c(3.41 KB)
📄 s_nan.c(3.32 KB)
📄 s_nearbyint.c(2.29 KB)
📄 s_nextafter.c(2.03 KB)
📄 s_nextafterf.c(1.61 KB)
📄 s_nextafterl.c(2.02 KB)
📄 s_nexttoward.c(1.75 KB)
📄 s_nexttowardf.c(1.42 KB)
📄 s_remquo.c(3.86 KB)
📄 s_remquof.c(3.02 KB)
📄 s_remquol.c(4.42 KB)
📄 s_rint.c(2.33 KB)
📄 s_rintf.c(1.22 KB)
📄 s_rintl.c(2.77 KB)
📄 s_round.c(1.83 KB)
📄 s_roundf.c(1.74 KB)
📄 s_roundl.c(1.84 KB)
📄 s_scalbln.c(1.82 KB)
📄 s_scalbn.c(1.9 KB)
📄 s_scalbnf.c(1.67 KB)
📄 s_scalbnl.c(1.9 KB)
📄 s_signbit.c(1.7 KB)
📄 s_signgam.c(61 B)
📄 s_significand.c(727 B)
📄 s_significandf.c(691 B)
📄 s_sin.c(2.18 KB)
📄 s_sincos.c(1.6 KB)
📄 s_sincosf.c(2.57 KB)
📄 s_sincosl.c(2.67 KB)
📄 s_sinf.c(2.18 KB)
📄 s_sinl.c(2.49 KB)
📄 s_tan.c(2.02 KB)
📄 s_tanf.c(1.97 KB)
📄 s_tanh.c(2.02 KB)
📄 s_tanhf.c(1.39 KB)
📄 s_tanhl.c(5.09 KB)
📄 s_tanl.c(2.6 KB)
📄 s_tgammaf.c(1.75 KB)
📄 s_trunc.c(1.5 KB)
📄 s_truncf.c(1.21 KB)
📄 s_truncl.c(1.61 KB)
📄 w_cabs.c(365 B)
📄 w_cabsf.c(350 B)
📄 w_cabsl.c(357 B)
📄 w_drem.c(211 B)
📄 w_dremf.c(254 B)

Editing: e_powf.c

/* e_powf.c -- float version of e_pow.c.
 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
 */

/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunPro, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice
 * is preserved.
 * ====================================================
 */

#include <sys/cdefs.h>
__FBSDID("$FreeBSD$");

#include "math.h"
#include "math_private.h"

static const float
bp[] = {1.0, 1.5,},
dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */
dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */
zero    =  0.0,
half    =  0.5,
qrtr    =  0.25,
thrd    =  3.33333343e-01, /* 0x3eaaaaab */
one	=  1.0,
two	=  2.0,
two24	=  16777216.0,	/* 0x4b800000 */
huge	=  1.0e30,
tiny    =  1.0e-30,
	/* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
L1  =  6.0000002384e-01, /* 0x3f19999a */
L2  =  4.2857143283e-01, /* 0x3edb6db7 */
L3  =  3.3333334327e-01, /* 0x3eaaaaab */
L4  =  2.7272811532e-01, /* 0x3e8ba305 */
L5  =  2.3066075146e-01, /* 0x3e6c3255 */
L6  =  2.0697501302e-01, /* 0x3e53f142 */
P1   =  1.6666667163e-01, /* 0x3e2aaaab */
P2   = -2.7777778450e-03, /* 0xbb360b61 */
P3   =  6.6137559770e-05, /* 0x388ab355 */
P4   = -1.6533901999e-06, /* 0xb5ddea0e */
P5   =  4.1381369442e-08, /* 0x3331bb4c */
lg2  =  6.9314718246e-01, /* 0x3f317218 */
lg2_h  =  6.93145752e-01, /* 0x3f317200 */
lg2_l  =  1.42860654e-06, /* 0x35bfbe8c */
ovt =  4.2995665694e-08, /* -(128-log2(ovfl+.5ulp)) */
cp    =  9.6179670095e-01, /* 0x3f76384f =2/(3ln2) */
cp_h  =  9.6191406250e-01, /* 0x3f764000 =12b cp */
cp_l  = -1.1736857402e-04, /* 0xb8f623c6 =tail of cp_h */
ivln2    =  1.4426950216e+00, /* 0x3fb8aa3b =1/ln2 */
ivln2_h  =  1.4426879883e+00, /* 0x3fb8aa00 =16b 1/ln2*/
ivln2_l  =  7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/

float
__ieee754_powf(float x, float y)
{
	float z,ax,z_h,z_l,p_h,p_l;
	float y1,t1,t2,r,s,sn,t,u,v,w;
	int32_t i,j,k,yisint,n;
	int32_t hx,hy,ix,iy,is;

GET_FLOAT_WORD(hx,x);
	GET_FLOAT_WORD(hy,y);
	ix = hx&0x7fffffff;  iy = hy&0x7fffffff;

/* y==zero: x**0 = 1 */
	if(iy==0) return one;

/* x==1: 1**y = 1, even if y is NaN */
	if (hx==0x3f800000) return one;

/* y!=zero: result is NaN if either arg is NaN */
	if(ix > 0x7f800000 ||
	   iy > 0x7f800000)
	    return nan_mix(x, y);

/* determine if y is an odd int when x < 0
     * yisint = 0	... y is not an integer
     * yisint = 1	... y is an odd int
     * yisint = 2	... y is an even int
     */
	yisint  = 0;
	if(hx<0) {
	    if(iy>=0x4b800000) yisint = 2; /* even integer y */
	    else if(iy>=0x3f800000) {
		k = (iy>>23)-0x7f;	   /* exponent */
		j = iy>>(23-k);
		if((j<<(23-k))==iy) yisint = 2-(j&1);
	    }
	}

/* special value of y */
	if (iy==0x7f800000) {	/* y is +-inf */
	    if (ix==0x3f800000)
	        return  one;	/* (-1)**+-inf is NaN */
	    else if (ix > 0x3f800000)/* (|x|>1)**+-inf = inf,0 */
	        return (hy>=0)? y: zero;
	    else			/* (|x|<1)**-,+inf = inf,0 */
	        return (hy<0)?-y: zero;
	}
	if(iy==0x3f800000) {	/* y is  +-1 */
	    if(hy<0) return one/x; else return x;
	}
	if(hy==0x40000000) return x*x; /* y is  2 */
	if(hy==0x3f000000) {	/* y is  0.5 */
	    if(hx>=0)	/* x >= +0 */
	    return __ieee754_sqrtf(x);
	}

ax   = fabsf(x);
    /* special value of x */
	if(ix==0x7f800000||ix==0||ix==0x3f800000){
	    z = ax;			/*x is +-0,+-inf,+-1*/
	    if(hy<0) z = one/z;	/* z = (1/|x|) */
	    if(hx<0) {
		if(((ix-0x3f800000)|yisint)==0) {
		    z = (z-z)/(z-z); /* (-1)**non-int is NaN */
		} else if(yisint==1)
		    z = -z;		/* (x<0)**odd = -(|x|**odd) */
	    }
	    return z;
	}

n = ((u_int32_t)hx>>31)-1;

/* (x<0)**(non-int) is NaN */
	if((n|yisint)==0) return (x-x)/(x-x);

sn = one; /* s (sign of result -ve**odd) = -1 else = 1 */
	if((n|(yisint-1))==0) sn = -one;/* (-ve)**(odd int) */

/* |y| is huge */
	if(iy>0x4d000000) { /* if |y| > 2**27 */
	/* over/underflow if x is not close to one */
	    if(ix<0x3f7ffff8) return (hy<0)? sn*huge*huge:sn*tiny*tiny;
	    if(ix>0x3f800007) return (hy>0)? sn*huge*huge:sn*tiny*tiny;
	/* now |1-x| is tiny <= 2**-20, suffice to compute
	   log(x) by x-x^2/2+x^3/3-x^4/4 */
	    t = ax-1;		/* t has 20 trailing zeros */
	    w = (t*t)*(half-t*(thrd-t*qrtr));
	    u = ivln2_h*t;	/* ivln2_h has 16 sig. bits */
	    v = t*ivln2_l-w*ivln2;
	    t1 = u+v;
	    GET_FLOAT_WORD(is,t1);
	    SET_FLOAT_WORD(t1,is&0xfffff000);
	    t2 = v-(t1-u);
	} else {
	    float s2,s_h,s_l,t_h,t_l;
	    n = 0;
	/* take care subnormal number */
	    if(ix<0x00800000)
		{ax *= two24; n -= 24; GET_FLOAT_WORD(ix,ax); }
	    n  += ((ix)>>23)-0x7f;
	    j  = ix&0x007fffff;
	/* determine interval */
	    ix = j|0x3f800000;		/* normalize ix */
	    if(j<=0x1cc471) k=0;	/* |x|<sqrt(3/2) */
	    else if(j<0x5db3d7) k=1;	/* |x|<sqrt(3)   */
	    else {k=0;n+=1;ix -= 0x00800000;}
	    SET_FLOAT_WORD(ax,ix);

/* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
	    u = ax-bp[k];		/* bp[0]=1.0, bp[1]=1.5 */
	    v = one/(ax+bp[k]);
	    s = u*v;
	    s_h = s;
	    GET_FLOAT_WORD(is,s_h);
	    SET_FLOAT_WORD(s_h,is&0xfffff000);
	/* t_h=ax+bp[k] High */
	    is = ((ix>>1)&0xfffff000)|0x20000000;
	    SET_FLOAT_WORD(t_h,is+0x00400000+(k<<21));
	    t_l = ax - (t_h-bp[k]);
	    s_l = v*((u-s_h*t_h)-s_h*t_l);
	/* compute log(ax) */
	    s2 = s*s;
	    r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
	    r += s_l*(s_h+s);
	    s2  = s_h*s_h;
	    t_h = 3+s2+r;
	    GET_FLOAT_WORD(is,t_h);
	    SET_FLOAT_WORD(t_h,is&0xfffff000);
	    t_l = r-((t_h-3)-s2);
	/* u+v = s*(1+...) */
	    u = s_h*t_h;
	    v = s_l*t_h+t_l*s;
	/* 2/(3log2)*(s+...) */
	    p_h = u+v;
	    GET_FLOAT_WORD(is,p_h);
	    SET_FLOAT_WORD(p_h,is&0xfffff000);
	    p_l = v-(p_h-u);
	    z_h = cp_h*p_h;		/* cp_h+cp_l = 2/(3*log2) */
	    z_l = cp_l*p_h+p_l*cp+dp_l[k];
	/* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
	    t = n;
	    t1 = (((z_h+z_l)+dp_h[k])+t);
	    GET_FLOAT_WORD(is,t1);
	    SET_FLOAT_WORD(t1,is&0xfffff000);
	    t2 = z_l-(((t1-t)-dp_h[k])-z_h);
	}

/* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
	GET_FLOAT_WORD(is,y);
	SET_FLOAT_WORD(y1,is&0xfffff000);
	p_l = (y-y1)*t1+y*t2;
	p_h = y1*t1;
	z = p_l+p_h;
	GET_FLOAT_WORD(j,z);
	if (j>0x43000000)				/* if z > 128 */
	    return sn*huge*huge;			/* overflow */
	else if (j==0x43000000) {			/* if z == 128 */
	    if(p_l+ovt>z-p_h) return sn*huge*huge;	/* overflow */
	}
	else if ((j&0x7fffffff)>0x43160000)		/* z <= -150 */
	    return sn*tiny*tiny;			/* underflow */
	else if (j==0xc3160000){			/* z == -150 */
	    if(p_l<=z-p_h) return sn*tiny*tiny;		/* underflow */
	}
    /*
     * compute 2**(p_h+p_l)
     */
	i = j&0x7fffffff;
	k = (i>>23)-0x7f;
	n = 0;
	if(i>0x3f000000) {		/* if |z| > 0.5, set n = [z+0.5] */
	    n = j+(0x00800000>>(k+1));
	    k = ((n&0x7fffffff)>>23)-0x7f;	/* new k for n */
	    SET_FLOAT_WORD(t,n&~(0x007fffff>>k));
	    n = ((n&0x007fffff)|0x00800000)>>(23-k);
	    if(j<0) n = -n;
	    p_h -= t;
	}
	t = p_l+p_h;
	GET_FLOAT_WORD(is,t);
	SET_FLOAT_WORD(t,is&0xffff8000);
	u = t*lg2_h;
	v = (p_l-(t-p_h))*lg2+t*lg2_l;
	z = u+v;
	w = v-(z-u);
	t  = z*z;
	t1  = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
	r  = (z*t1)/(t1-two)-(w+z*w);
	z  = one-(r-z);
	GET_FLOAT_WORD(j,z);
	j += (n<<23);
	if((j>>23)<=0) z = scalbnf(z,n);	/* subnormal output */
	else SET_FLOAT_WORD(z,j);
	return sn*z;
}

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