/* $NetBSD: n_tan.S,v 1.1 1995/10/10 23:40:31 ragge Exp $ */ /* * Copyright (c) 1985, 1993 * The Regents of the University of California. 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. * 3. Neither the name of the University nor the names of its contributors * may be used to endorse or promote products derived from this software * without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE REGENTS 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 REGENTS 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. * * @(#)tan.s 8.1 (Berkeley) 6/4/93 */ /* This is the implementation of Peter Tang's double precision * tangent for the VAX using Bob Corbett's argument reduction. * * Notes: * under 1,024,000 random arguments testing on [0,2*pi] * tan() observed maximum error = 2.15 ulps * * double tan(arg) * double arg; * method: true range reduction to [-pi/4,pi/4], P. Tang & B. Corbett * S. McDonald, April 4, 1985 */ .globl _tan .text .align 1 _tan: .word 0xffc # save r2-r11 movq 4(ap),r0 bicw3 $0x807f,r0,r2 beql 1f # if x is zero or reserved operand then return x /* * Save the PSL's IV & FU bits on the stack. */ movpsl r2 bicw3 $0xff9f,r2,-(sp) /* * Clear the IV & FU bits. */ bicpsw $0x0060 jsb libm$argred /* * At this point, * r0 contains the quadrant number, 0, 1, 2, or 3; * r2/r1 contains the reduced argument as a D-format number; * r3 contains a F-format extension to the reduced argument; * * Save r3/r0 so that we can call cosine after calling sine. */ movq r2,-(sp) movq r0,-(sp) /* * Call sine. r4 = 0 implies sine. */ movl $0,r4 jsb libm$sincos /* * Save sin(x) in r11/r10 . */ movd r0,r10 /* * Call cosine. r4 = 1 implies cosine. */ movq (sp)+,r0 movq (sp)+,r2 movl $1,r4 jsb libm$sincos divd3 r0,r10,r0 bispsw (sp)+ 1: ret