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- # 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.
- #
- # @(#)tan.s 5.4 (Berkeley) 10/9/90
- #
- .data
- .align 2
- _sccsid:
- .asciz "@(#)tan.s 1.1 (Berkeley) 8/21/85; 5.4 (ucb.elefunt) 10/9/90"
-
- # 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
-