25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * CDDL HEADER START
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * The contents of this file are subject to the terms of the
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Common Development and Distribution License (the "License").
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * You may not use this file except in compliance with the License.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * or http://www.opensolaris.org/os/licensing.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * See the License for the specific language governing permissions
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * and limitations under the License.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * When distributing Covered Code, include this CDDL HEADER in each
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * If applicable, add the following below this CDDL HEADER, with the
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * fields enclosed by brackets "[]" replaced with your own identifying
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * information: Portions Copyright [yyyy] [name of copyright owner]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * CDDL HEADER END
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Copyright 2005 Sun Microsystems, Inc. All rights reserved.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Use is subject to license terms.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
ddc0e0b53c661f6e439e3b7072b3ef353eadb4afRichard Lowe#pragma weak __tanf = tanf
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#include "libm.h"
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisextern const int _TBL_ipio2_inf[];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisextern int __rem_pio2m(double *, double *, int, int, int, const int *);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#if defined(__i386) && !defined(__amd64)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisextern int __swapRP(int);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#endif
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisstatic const double C[] = {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 1.0,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 4.46066928428959230679140546271810308098793029785e-0003,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 4.92165316309189027066395283327437937259674072266e+0000,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis -7.11410648161473480044492134766187518835067749023e-0001,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 4.08549808374053391446523164631798863410949707031e+0000,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 2.50411070398050927821032018982805311679840087891e+0000,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 1.11492064560251158411574579076841473579406738281e+0001,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis -1.50565540968422650891511693771462887525558471680e+0000,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis -1.81484378878349295050043110677506774663925170898e+0000,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 3.333335997532835641297409611782510896641e-0001,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 2.999997598248363761541668282006867229939e+00,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 0.636619772367581343075535, /* 2^ -1 * 1.45F306DC9C883 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 0.5,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 1.570796326734125614166, /* 2^ 0 * 1.921FB54400000 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 6.077100506506192601475e-11, /* 2^-34 * 1.0B4611A626331 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis};
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define one C[0]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P0 C[1]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P1 C[2]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P2 C[3]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P3 C[4]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P4 C[5]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P5 C[6]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P6 C[7]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P7 C[8]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define T0 C[9]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define T1 C[10]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define invpio2 C[11]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define half C[12]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define pio2_1 C[13]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define pio2_t C[14]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisfloat
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtistanf(float x)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis{
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis double y, z, w;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis float f;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis int n, ix, hx, hy;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis volatile int i;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hx = *((int *)&x);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ix = hx & 0x7fffffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis y = (double)x;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ix <= 0x4016cbe4) { /* |x| < 3*pi/4 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ix <= 0x3f490fdb) { /* |x| < pi/4 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ix < 0x3c000000) { /* |x| < 2**-7 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ix <= 0x39800000) { /* |x| < 2**-12 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis i = (int)y;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#ifdef lint
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis i = i;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#endif
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (x);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return ((float)((y * T0) * (T1 + y * y)));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z = y * y;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return ((float)(((P0 * y) * (P1 + z * (P2 + z)) *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis (P3 + z * (P4 + z))) *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis (P5 + z * (P6 + z * (P7 + z)))));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (hx > 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis y = (y - pio2_1) - pio2_t;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis y = (y + pio2_1) + pio2_t;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hy = ((int *)&y)[HIWORD] & ~0x80000000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (hy < 0x3f800000) { /* |y| < 2**-7 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z = (y * T0) * (T1 + y * y);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return ((float)(-one / z));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z = y * y;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis w = ((P0 * y) * (P1 + z * (P2 + z)) * (P3 + z * (P4 + z))) *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis (P5 + z * (P6 + z * (P7 + z)));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return ((float)(-one / w));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ix <= 0x49c90fdb) { /* |x| < 2^19*pi */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#if defined(__i386) && !defined(__amd64)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis int rp;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis rp = __swapRP(fp_extended);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#endif
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis w = y * invpio2;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (hx < 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis n = (int)(w - half);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis n = (int)(w + half);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis y = (y - n * pio2_1) - n * pio2_t;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#if defined(__i386) && !defined(__amd64)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (rp != fp_extended)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis (void) __swapRP(rp);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#endif
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ix >= 0x7f800000)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (x / x); /* sin(Inf or NaN) is NaN */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hy = ((int *)&y)[HIWORD];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis n = ((hy >> 20) & 0x7ff) - 1046;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ((int *)&w)[HIWORD] = (hy & 0xfffff) | 0x41600000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ((int *)&w)[LOWORD] = ((int *)&y)[LOWORD];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis n = __rem_pio2m(&w, &y, n, 1, 0, _TBL_ipio2_inf);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (hy < 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis y = -y;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis n = -n;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hy = ((int *)&y)[HIWORD] & ~0x80000000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (hy < 0x3f800000) { /* |y| < 2**-7 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z = (y * T0) * (T1 + y * y);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis f = ((n & 1) == 0)? (float)z : (float)(-one / z);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (f);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z = y * y;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis w = ((P0 * y) * (P1 + z * (P2 + z)) * (P3 + z * (P4 + z))) *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis (P5 + z * (P6 + z * (P7 + z)));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis f = ((n & 1) == 0)? (float)w : (float)(-one / w);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (f);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis}