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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: s_clogl.c

/*-
 * Copyright (c) 2013 Bruce D. Evans
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice unmodified, this list of conditions, and the following
 *    disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 *
 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */

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

#include <complex.h>
#include <float.h>
#ifdef __i386__
#include <ieeefp.h>
#endif

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

#define	MANT_DIG	LDBL_MANT_DIG
#define	MAX_EXP		LDBL_MAX_EXP
#define	MIN_EXP		LDBL_MIN_EXP

static const double
ln2_hi = 6.9314718055829871e-1;		/*  0x162e42fefa0000.0p-53 */

#if LDBL_MANT_DIG == 64
#define	MULT_REDUX	0x1p32		/* exponent MANT_DIG / 2 rounded up */
static const double
ln2l_lo = 1.6465949582897082e-12;	/*  0x1cf79abc9e3b3a.0p-92 */
#elif LDBL_MANT_DIG == 113
#define	MULT_REDUX	0x1p57
static const long double
ln2l_lo = 1.64659495828970812809844307550013433e-12L;	/*  0x1cf79abc9e3b39803f2f6af40f343.0p-152L */
#else
#error "Unsupported long double format"
#endif

long double complex
clogl(long double complex z)
{
	long double ax, ax2h, ax2l, axh, axl, ay, ay2h, ay2l, ayh, ayl;
	long double sh, sl, t;
	long double x, y, v;
	uint16_t hax, hay;
	int kx, ky;

ENTERIT(long double complex);

x = creall(z);
	y = cimagl(z);
	v = atan2l(y, x);

ax = fabsl(x);
	ay = fabsl(y);
	if (ax < ay) {
		t = ax;
		ax = ay;
		ay = t;
	}

GET_LDBL_EXPSIGN(hax, ax);
	kx = hax - 16383;
	GET_LDBL_EXPSIGN(hay, ay);
	ky = hay - 16383;

/* Handle NaNs and Infs using the general formula. */
	if (kx == MAX_EXP || ky == MAX_EXP)
		RETURNI(CMPLXL(logl(hypotl(x, y)), v));

/* Avoid spurious underflow, and reduce inaccuracies when ax is 1. */
	if (ax == 1) {
		if (ky < (MIN_EXP - 1) / 2)
			RETURNI(CMPLXL((ay / 2) * ay, v));
		RETURNI(CMPLXL(log1pl(ay * ay) / 2, v));
	}

/* Avoid underflow when ax is not small.  Also handle zero args. */
	if (kx - ky > MANT_DIG || ay == 0)
		RETURNI(CMPLXL(logl(ax), v));

/* Avoid overflow. */
	if (kx >= MAX_EXP - 1)
		RETURNI(CMPLXL(logl(hypotl(x * 0x1p-16382L, y * 0x1p-16382L)) +
		    (MAX_EXP - 2) * ln2l_lo + (MAX_EXP - 2) * ln2_hi, v));
	if (kx >= (MAX_EXP - 1) / 2)
		RETURNI(CMPLXL(logl(hypotl(x, y)), v));

/* Reduce inaccuracies and avoid underflow when ax is denormal. */
	if (kx <= MIN_EXP - 2)
		RETURNI(CMPLXL(logl(hypotl(x * 0x1p16383L, y * 0x1p16383L)) +
		    (MIN_EXP - 2) * ln2l_lo + (MIN_EXP - 2) * ln2_hi, v));

/* Avoid remaining underflows (when ax is small but not denormal). */
	if (ky < (MIN_EXP - 1) / 2 + MANT_DIG)
		RETURNI(CMPLXL(logl(hypotl(x, y)), v));

/* Calculate ax*ax and ay*ay exactly using Dekker's algorithm. */
	t = (long double)(ax * (MULT_REDUX + 1));
	axh = (long double)(ax - t) + t;
	axl = ax - axh;
	ax2h = ax * ax;
	ax2l = axh * axh - ax2h + 2 * axh * axl + axl * axl;
	t = (long double)(ay * (MULT_REDUX + 1));
	ayh = (long double)(ay - t) + t;
	ayl = ay - ayh;
	ay2h = ay * ay;
	ay2l = ayh * ayh - ay2h + 2 * ayh * ayl + ayl * ayl;

/*
	 * When log(|z|) is far from 1, accuracy in calculating the sum
	 * of the squares is not very important since log() reduces
	 * inaccuracies.  We depended on this to use the general
	 * formula when log(|z|) is very far from 1.  When log(|z|) is
	 * moderately far from 1, we go through the extra-precision
	 * calculations to reduce branches and gain a little accuracy.
	 *
	 * When |z| is near 1, we subtract 1 and use log1p() and don't
	 * leave it to log() to subtract 1, since we gain at least 1 bit
	 * of accuracy in this way.
	 *
	 * When |z| is very near 1, subtracting 1 can cancel almost
	 * 3*MANT_DIG bits.  We arrange that subtracting 1 is exact in
	 * doubled precision, and then do the rest of the calculation
	 * in sloppy doubled precision.  Although large cancellations
	 * often lose lots of accuracy, here the final result is exact
	 * in doubled precision if the large calculation occurs (because
	 * then it is exact in tripled precision and the cancellation
	 * removes enough bits to fit in doubled precision).  Thus the
	 * result is accurate in sloppy doubled precision, and the only
	 * significant loss of accuracy is when it is summed and passed
	 * to log1p().
	 */
	sh = ax2h;
	sl = ay2h;
	_2sumF(sh, sl);
	if (sh < 0.5 || sh >= 3)
		RETURNI(CMPLXL(logl(ay2l + ax2l + sl + sh) / 2, v));
	sh -= 1;
	_2sum(sh, sl);
	_2sum(ax2l, ay2l);
	/* Briggs-Kahan algorithm (except we discard the final low term): */
	_2sum(sh, ax2l);
	_2sum(sl, ay2l);
	t = ax2l + sl;
	_2sumF(sh, t);
	RETURNI(CMPLXL(log1pl(ay2l + t + sh) / 2, v));
}

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