From b12a73d5bf595b7fbb73db30c6bb144078e86ef5 Mon Sep 17 00:00:00 2001 From: Szabolcs Nagy Date: Tue, 11 Dec 2012 23:56:59 +0100 Subject: math: clean up inverse trigonometric functions modifications: * avoid unsigned->signed conversions * removed various volatile hacks * use FORCE_EVAL when evaluating only for side-effects * factor out R() rational approximation instead of manual inline * __invtrigl.h now only provides __invtrigl_R, __pio2_hi and __pio2_lo * use 2*pio2_hi, 2*pio2_lo instead of pi_hi, pi_lo otherwise the logic is not changed, long double versions will need a revisit when a genaral long double cleanup happens --- src/math/__invtrigl.h | 66 ++++----------------------------------------------- 1 file changed, 4 insertions(+), 62 deletions(-) (limited to 'src/math/__invtrigl.h') diff --git a/src/math/__invtrigl.h b/src/math/__invtrigl.h index 22748b68..cac465c2 100644 --- a/src/math/__invtrigl.h +++ b/src/math/__invtrigl.h @@ -1,68 +1,10 @@ -/* origin: FreeBSD /usr/src/lib/msun/src/ld80/invtrig.h */ -/*- - * Copyright (c) 2008 David Schultz - * 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, 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 AND CONTRIBUTORS ``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 OR CONTRIBUTORS 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 "libm.h" +#include #if LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 - -#define BIAS (LDBL_MAX_EXP - 1) -#define MANH_SIZE LDBL_MANH_SIZE - -/* Constants shared by the long double inverse trig functions. */ -#define pS0 __pS0 -#define pS1 __pS1 -#define pS2 __pS2 -#define pS3 __pS3 -#define pS4 __pS4 -#define pS5 __pS5 -#define pS6 __pS6 -#define qS1 __qS1 -#define qS2 __qS2 -#define qS3 __qS3 -#define qS4 __qS4 -#define qS5 __qS5 -#define pi_hi __pi_hi -#define pi_lo __pi_lo +/* shared by acosl, asinl and atan2l */ #define pio2_hi __pio2_hi #define pio2_lo __pio2_lo +extern const long double pio2_hi, pio2_lo; -extern const long double pS0, pS1, pS2, pS3, pS4, pS5, pS6; -extern const long double qS1, qS2, qS3, qS4, qS5; -extern const long double pi_hi, pi_lo, pio2_hi, pio2_lo; - -static long double P(long double x) -{ - return x * (pS0 + x * (pS1 + x * (pS2 + x * (pS3 + - x * (pS4 + x * (pS5 + x * pS6)))))); -} - -static long double Q(long double x) -{ - return 1.0 + x * (qS1 + x * (qS2 + x * (qS3 + x * (qS4 + x * qS5)))); -} - +long double __invtrigl_R(long double z); #endif -- cgit 1.4.1