142 lines
4.4 KiB
ArmAsm
142 lines
4.4 KiB
ArmAsm
/*
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* Copyright (c) 1987 Regents of the University of California.
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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* 3. All advertising materials mentioning features or use of this software
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* must display the following acknowledgement:
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* This product includes software developed by the University of
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* California, Berkeley and its contributors.
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* 4. Neither the name of the University nor the names of its contributors
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* may be used to endorse or promote products derived from this software
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* without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*/
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.data
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.align 2
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;_sccsid:
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;.asciz "from: @(#)sqrt.s 5.6 (ucb.elefunt) 10/9/90"
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_rcsid:
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.asciz "$Id: sqrt.s,v 1.1 1993/08/14 13:44:01 mycroft Exp $"
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/*
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* double sqrt(arg) revised August 15,1982
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* double arg;
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* if(arg<0.0) { _errno = EDOM; return(<a reserved operand>); }
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* if arg is a reserved operand it is returned as it is
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* W. Kahan's magic square root
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* Coded by Heidi Stettner and revised by Emile LeBlanc 8/18/82.
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* Re-coded in tahoe assembly language by Z. Alex Liu 7/13/87.
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*
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* entry points:_d_sqrt address of double arg is on the stack
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* _sqrt double arg is on the stack
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*/
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.text
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.align 2
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.globl _sqrt
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.globl _d_sqrt
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.globl libm$dsqrt_r5
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.set EDOM,33
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_d_sqrt:
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.word 0x003c # save r2-r5
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movl 4(fp),r2
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movl (r2),r0
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movl 4(r2),r1 # r0:r1 = x
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brb 1f
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_sqrt:
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.word 0x003c # save r2-r5
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movl 4(fp),r0
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movl 8(fp),r1 # r0:r1 = x
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1: andl3 $0x7f800000,r0,r2 # r2 = biased exponent
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bneq 2f
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ret # biased exponent is zero -> 0 or reserved op.
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/*
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* # internal procedure
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* # ENTRY POINT FOR cdabs and cdsqrt
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*/
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libm$dsqrt_r5: # returns double square root scaled by 2^r6
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.word 0x0000 # save nothing
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2: ldd r0
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std r4
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bleq nonpos # argument is not positive
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andl3 $0xfffe0000,r4,r2
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shar $1,r2,r0
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addl2 $0x203c0000,r0 # r0 has magic initial approximation
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/*
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* # Do two steps of Heron's rule
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* # ((arg/guess)+guess)/2 = better guess
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*/
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ldf r4
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divf r0
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addf r0
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stf r0
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subl2 $0x800000,r0 # divide by two
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ldf r4
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divf r0
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addf r0
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stf r0
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subl2 $0x800000,r0 # divide by two
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/*
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* # Scale argument and approximation
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* # to prevent over/underflow
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*/
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andl3 $0x7f800000,r4,r1
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subl2 $0x40800000,r1 # r1 contains scaling factor
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subl2 r1,r4 # r4:r5 = n/s
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movl r0,r2
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subl2 r1,r2 # r2 = a/s
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/*
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* # Cubic step
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* # b = a+2*a*(n-a*a)/(n+3*a*a) where
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* # b is better approximation, a is approximation
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* # and n is the original argument.
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* # s := scale factor.
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*/
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clrl r1 # r0:r1 = a
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clrl r3 # r2:r3 = a/s
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ldd r0 # acc = a
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muld r2 # acc = a*a/s
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std r2 # r2:r3 = a*a/s
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negd # acc = -a*a/s
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addd r4 # acc = n/s-a*a/s
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std r4 # r4:r5 = n/s-a*a/s
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addl2 $0x1000000,r2 # r2:r3 = 4*a*a/s
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ldd r2 # acc = 4*a*a/s
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addd r4 # acc = n/s+3*a*a/s
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std r2 # r2:r3 = n/s+3*a*a/s
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ldd r0 # acc = a
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muld r4 # acc = a*n/s-a*a*a/s
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divd r2 # acc = a*(n-a*a)/(n+3*a*a)
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std r4 # r4:r5 = a*(n-a*a)/(n+3*a*a)
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addl2 $0x800000,r4 # r4:r5 = 2*a*(n-a*a)/(n+3*a*a)
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ldd r4 # acc = 2*a*(n-a*a)/(n+3*a*a)
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addd r0 # acc = a+2*a*(n-a*a)/(n+3*a*a)
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std r0 # r0:r1 = a+2*a*(n-a*a)/(n+3*a*a)
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ret # rsb
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nonpos:
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bneq negarg
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ret # argument and root are zero
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negarg:
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pushl $EDOM
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callf $8,_infnan # generate the reserved op fault
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ret
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