101 lines
3.7 KiB
ArmAsm
101 lines
3.7 KiB
ArmAsm
# Copyright (c) 1985 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: @(#)cbrt.s 1.1 (Berkeley) 5/23/85; 5.4 (ucb.elefunt) 10/9/90"
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_rcsid:
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.asciz "$Id: cbrt.S,v 1.1 1993/08/14 13:44:10 mycroft Exp $"
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# double cbrt(double arg)
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# W. Kahan, 10/13/80. revised 1/13/84 for keeping sign symmetry
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# error check by E LeBlanc, 8/18/82
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# Revised and tested by K.C. Ng, 5/2/85
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# Max error less than 0.667 ulps (unit in the last places)
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.globl _cbrt
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.globl _d_cbrt
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.globl _dcbrt_
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.text
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.align 1
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_cbrt:
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_d_cbrt:
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.word 0x00fc # save r2 to r7
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movq 4(ap),r0 # r0 = argument x
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jmp dcbrt2
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_dcbrt_:
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.word 0x00fc # save r2 to r7
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movq *4(ap),r0 # r0 = argument x
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dcbrt2: bicw3 $0x807f,r0,r2 # biased exponent of x
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jeql return # dcbrt(0)=0 dcbrt(res)=res. operand
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bicw3 $0x7fff,r0,ap # ap has sign(x)
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xorw2 ap,r0 # r0 is abs(x)
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movl r0,r2 # r2 has abs(x)
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rotl $16,r2,r2 # r2 = |x| with bits unscrambled
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divl2 $3,r2 # rough dcbrt with bias/3
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addl2 B,r2 # restore bias, diminish fraction
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rotl $16,r2,r2 # r2=|q|=|dcbrt| to 5 bits
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mulf3 r2,r2,r3 # r3 =qq
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divf2 r0,r3 # r3 = qq/x
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mulf2 r2,r3
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addf2 C,r3 # r3 = s = C + qqq/x
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divf3 r3,D,r4 # r4 = D/s
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addf2 E,r4
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addf2 r4,r3 # r3 = s + E + D/s
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divf3 r3,F,r3 # r3 = F / (s + E + D/s)
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addf2 G,r3 # r3 = G + F / (s + E + D/s)
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mulf2 r3,r2 # r2 = qr3 = new q to 23 bits
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clrl r3 # r2:r3 = q as double float
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muld3 r2,r2,r4 # r4:r5 = qq exactly
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divd2 r4,r0 # r0:r1 = x/(q*q) rounded
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subd3 r2,r0,r6 # r6:r7 = x/(q*q) - q exactly
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movq r2,r4 # r4:r5 = q
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addw2 $0x80,r4 # r4:r5 = 2 * q
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addd2 r0,r4 # r4:r5 = 2*q + x/(q*q)
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divd2 r4,r6 # r6:r7 = (x/(q*q)-q)/(2*q+x/(q*q))
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muld2 r2,r6 # r6:r7 = q*(x/(q*q)-q)/(2*q+x/(q*q))
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addd3 r6,r2,r0 # r0:r1 = q + r6:r7
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bisw2 ap,r0 # restore the sign bit
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return:
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ret # error less than 0.667 ulps
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.data
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.align 2
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B : .long 721142941 # (86-0.03306235651)*(2^23)
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C : .float 0f0.5428571429 # 19/35
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D : .float 0f-0.7053061224 # -864/1225
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E : .float 0f1.414285714 # 99/70
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F : .float 0f1.607142857 # 45/28
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G : .float 0f0.3571428571 # 5/14
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