# Copyright (c) 1985 Regents of the University of California. # All rights reserved. # # Redistribution and use in source and binary forms are permitted # provided that the above copyright notice and this paragraph are # duplicated in all such forms and that any documentation, # advertising materials, and other materials related to such # distribution and use acknowledge that the software was developed # by the University of California, Berkeley. The name of the # University may not be used to endorse or promote products derived # from this software without specific prior written permission. # THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR # IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED # WARRANTIES OF MERCHANTIBILITY AND FITNESS FOR A PARTICULAR PURPOSE. # # All recipients should regard themselves as participants in an ongoing # research project and hence should feel obligated to report their # experiences (good or bad) with these elementary function codes, using # the sendbug(8) program, to the authors. # # @(#)sincos.s 5.3 (Berkeley) 6/30/88 # .data .align 2 _sccsid: .asciz "@(#)sincos.s 1.1 (Berkeley) 8/21/85; 5.3 (ucb.elefunt) 6/30/88" # 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