/* * CDDL HEADER START * * The contents of this file are subject to the terms of the * Common Development and Distribution License (the "License"). * You may not use this file except in compliance with the License. * * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE * or http://www.opensolaris.org/os/licensing. * See the License for the specific language governing permissions * and limitations under the License. * * When distributing Covered Code, include this CDDL HEADER in each * file and include the License file at usr/src/OPENSOLARIS.LICENSE. * If applicable, add the following below this CDDL HEADER, with the * fields enclosed by brackets "[]" replaced with your own identifying * information: Portions Copyright [yyyy] [name of copyright owner] * * CDDL HEADER END */ /* * Copyright 2011 Nexenta Systems, Inc. All rights reserved. */ /* * Copyright 2006 Sun Microsystems, Inc. All rights reserved. * Use is subject to license terms. */ #include "libm.h" /* INDENT OFF */ /* * float __k_tan(double x); * kernel (float) tan function on [-pi/4, pi/4], pi/4 ~ 0.785398164 * Input x is in double and assumed to be bounded by ~pi/4 in magnitude. * * Constants: * The hexadecimal values are the intended ones for the following constants. * The decimal values may be used, provided that the compiler will convert * from decimal to binary accurately enough to produce the hexadecimal values * shown. */ static const double q[] = { /* one */ 1.0, /* P0 */ 4.46066928428959230679140546271810308098793029785e-0003, /* P1 */ 4.92165316309189027066395283327437937259674072266e+0000, /* P2 */ -7.11410648161473480044492134766187518835067749023e-0001, /* P3 */ 4.08549808374053391446523164631798863410949707031e+0000, /* P4 */ 2.50411070398050927821032018982805311679840087891e+0000, /* P5 */ 1.11492064560251158411574579076841473579406738281e+0001, /* P6 */ -1.50565540968422650891511693771462887525558471680e+0000, /* P7 */ -1.81484378878349295050043110677506774663925170898e+0000, /* T0 */ 3.333335997532835641297409611782510896641e-0001, /* T1 */ 2.999997598248363761541668282006867229939e+00, }; /* INDENT ON */ #define one q[0] #define P0 q[1] #define P1 q[2] #define P2 q[3] #define P3 q[4] #define P4 q[5] #define P5 q[6] #define P6 q[7] #define P7 q[8] #define T0 q[9] #define T1 q[10] float __k_tanf(double x, int n) { float ft = 0.0; double z, w; int ix; ix = ((int *) &x)[HIWORD] & ~0x80000000; /* ix = leading |x| */ /* small argument */ if (ix < 0x3f800000) { /* if |x| < 0.0078125 = 2**-7 */ if (ix < 0x3f100000) { /* if |x| < 2**-14 */ if ((int) x == 0) { /* raise inexact if x != 0 */ ft = n == 0 ? (float) x : (float) (-one / x); } return (ft); } z = (x * T0) * (T1 + x * x); ft = n == 0 ? (float) z : (float) (-one / z); return (ft); } z = x * x; w = ((P0 * x) * (P1 + z * (P2 + z)) * (P3 + z * (P4 + z))) * (P5 + z * (P6 + z * (P7 + z))); ft = n == 0 ? (float) w : (float) (-one / w); return (ft); }