# Copyright (c) 1985 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. All advertising materials mentioning features or use of this software # must display the following acknowledgement: # This product includes software developed by the University of # California, Berkeley and its contributors. # 4. 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. # .data .align 2 ;_sccsid: ;.asciz "from: @(#)sincos.s 1.1 (Berkeley) 8/21/85; 5.4 (ucb.elefunt) 10/9/90" _rcsid: .asciz "$Id: sincos.s,v 1.1 1993/08/14 13:44:13 mycroft Exp $" # This is the implementation of Peter Tang's double precision # sine and cosine for the VAX using Bob Corbett's argument reduction. # # Notes: # under 1,024,000 random arguments testing on [0,2*pi] # sin() observed maximum error = 0.814 ulps # cos() observed maximum error = 0.792 ulps # # double sin(arg) # double arg; # method: true range reduction to [-pi/4,pi/4], P. Tang & B. Corbett # S. McDonald, April 4, 1985 # .globl _sin .text .align 1 _sin: .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 $0x0060 # # Entered by sine ; save 0 in r4 . # jsb libm$argred movl $0,r4 jsb libm$sincos bispsw (sp)+ 1: ret # # double cos(arg) # double arg; # method: true range reduction to [-pi/4,pi/4], P. Tang & B. Corbett # S. McDonald, April 4, 1985 # .globl _cos .text .align 1 _cos: .word 0xffc # save r2-r11 movq 4(ap),r0 bicw3 $0x7f,r0,r2 cmpw $0x8000,r2 beql 1f # if x is 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 $0x0060 # # Entered by cosine ; save 1 in r4 . # jsb libm$argred movl $1,r4 jsb libm$sincos bispsw (sp)+ 1: ret