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/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Copyright 2006 Sun Microsystems, Inc. All rights reserved.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Use is subject to license terms.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#include "libm.h"
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* INDENT OFF */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * float __k_tan(double x);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * kernel (float) tan function on [-pi/4, pi/4], pi/4 ~ 0.785398164
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Input x is in double and assumed to be bounded by ~pi/4 in magnitude.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Constants:
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * The hexadecimal values are the intended ones for the following constants.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * The decimal values may be used, provided that the compiler will convert
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * from decimal to binary accurately enough to produce the hexadecimal values
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * shown.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisstatic const double q[] = {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* one */ 1.0,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* P0 */ 4.46066928428959230679140546271810308098793029785e-0003,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* P1 */ 4.92165316309189027066395283327437937259674072266e+0000,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* P2 */ -7.11410648161473480044492134766187518835067749023e-0001,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* P3 */ 4.08549808374053391446523164631798863410949707031e+0000,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* P4 */ 2.50411070398050927821032018982805311679840087891e+0000,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* P5 */ 1.11492064560251158411574579076841473579406738281e+0001,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* P6 */ -1.50565540968422650891511693771462887525558471680e+0000,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* P7 */ -1.81484378878349295050043110677506774663925170898e+0000,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* T0 */ 3.333335997532835641297409611782510896641e-0001,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* T1 */ 2.999997598248363761541668282006867229939e+00,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis};
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* INDENT ON */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define one q[0]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P0 q[1]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P1 q[2]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P2 q[3]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P3 q[4]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P4 q[5]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P5 q[6]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P6 q[7]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define P7 q[8]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define T0 q[9]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define T1 q[10]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisfloat
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis__k_tanf(double x, int n) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis float ft = 0.0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis double z, w;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis int ix;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ix = ((int *) &x)[HIWORD] & ~0x80000000; /* ix = leading |x| */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* small argument */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ix < 0x3f800000) { /* if |x| < 0.0078125 = 2**-7 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ix < 0x3f100000) { /* if |x| < 2**-14 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if ((int) x == 0) { /* raise inexact if x != 0 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ft = n == 0 ? (float) x : (float) (-one / x);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (ft);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z = (x * T0) * (T1 + x * x);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ft = n == 0 ? (float) z : (float) (-one / z);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (ft);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z = x * x;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis w = ((P0 * x) * (P1 + z * (P2 + z)) * (P3 + z * (P4 + z)))
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * (P5 + z * (P6 + z * (P7 + z)));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ft = n == 0 ? (float) w : (float) (-one / w);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (ft);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis}