1/* $NetBSD: n_sincos.S,v 1.1 1995/10/10 23:40:28 ragge Exp $ */ 2/* 3 * Copyright (c) 1985, 1993 4 * The Regents of the University of California. All rights reserved. 5 * 6 * Redistribution and use in source and binary forms, with or without 7 * modification, are permitted provided that the following conditions 8 * are met: 9 * 1. Redistributions of source code must retain the above copyright 10 * notice, this list of conditions and the following disclaimer. 11 * 2. Redistributions in binary form must reproduce the above copyright 12 * notice, this list of conditions and the following disclaimer in the 13 * documentation and/or other materials provided with the distribution. 14 * 3. All advertising materials mentioning features or use of this software 15 * must display the following acknowledgement: 16 * This product includes software developed by the University of 17 * California, Berkeley and its contributors. 18 * 4. Neither the name of the University nor the names of its contributors 19 * may be used to endorse or promote products derived from this software 20 * without specific prior written permission. 21 * 22 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 23 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 24 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 25 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 26 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 27 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 28 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 29 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 30 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 31 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 32 * SUCH DAMAGE. 33 * 34 * @(#)sincos.s 8.1 (Berkeley) 6/4/93 35 */ 36 37/* 38 * This is the implementation of Peter Tang's double precision 39 * sine and cosine for the VAX using Bob Corbett's argument reduction. 40 * 41 * Notes: 42 * under 1,024,000 random arguments testing on [0,2*pi] 43 * sin() observed maximum error = 0.814 ulps 44 * cos() observed maximum error = 0.792 ulps 45 * 46 * double sin(arg) 47 * double arg; 48 * method: true range reduction to [-pi/4,pi/4], P. Tang & B. Corbett 49 * S. McDonald, April 4, 1985 50 */ 51 52 .globl _sin 53 .text 54 .align 1 55 56_sin: .word 0xffc # save r2-r11 57 movq 4(ap),r0 58 bicw3 $0x807f,r0,r2 59 beql 1f # if x is zero or reserved operand then return x 60/* 61 * Save the PSL's IV & FU bits on the stack. 62 */ 63 movpsl r2 64 bicw3 $0xff9f,r2,-(sp) 65/* 66 * Clear the IV & FU bits. 67 */ 68 bicpsw $0x0060 69/* 70 * Entered by sine ; save 0 in r4 . 71 */ 72 jsb libm$argred 73 movl $0,r4 74 jsb libm$sincos 75 bispsw (sp)+ 761: ret 77 78/* 79 * double cos(arg) 80 * double arg; 81 * method: true range reduction to [-pi/4,pi/4], P. Tang & B. Corbett 82 * S. McDonald, April 4, 1985 83 */ 84 .globl _cos 85 .text 86 .align 1 87 88_cos: .word 0xffc # save r2-r11 89 movq 4(ap),r0 90 bicw3 $0x7f,r0,r2 91 cmpw $0x8000,r2 92 beql 1f # if x is reserved operand then return x 93/* 94 * Save the PSL's IV & FU bits on the stack. 95 */ 96 movpsl r2 97 bicw3 $0xff9f,r2,-(sp) 98/* 99 * Clear the IV & FU bits. 100 */ 101 bicpsw $0x0060 102/* 103 * Entered by cosine ; save 1 in r4 . 104 */ 105 jsb libm$argred 106 movl $1,r4 107 jsb libm$sincos 108 bispsw (sp)+ 1091: ret 110