1 /* $NetBSD: n_cabs.S,v 1.9 2024/05/07 15:15:31 riastradh Exp $ */ 2 /* 3 * Copyright (c) 1985, 1993 4 * The Regents of the University of California. All rights reserved. 5 * 6 * Redistribution and use in source and binary forms, with or without 7 * modification, are permitted provided that the following conditions 8 * are met: 9 * 1. Redistributions of source code must retain the above copyright 10 * notice, this list of conditions and the following disclaimer. 11 * 2. Redistributions in binary form must reproduce the above copyright 12 * notice, this list of conditions and the following disclaimer in the 13 * documentation and/or other materials provided with the distribution. 14 * 3. Neither the name of the University nor the names of its contributors 15 * may be used to endorse or promote products derived from this software 16 * without specific prior written permission. 17 * 18 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 19 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 20 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 21 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 22 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 23 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 24 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 25 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 26 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 27 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 28 * SUCH DAMAGE. 29 * 30 * @(#)cabs.s 8.1 (Berkeley) 6/4/93 31 */ 32 33 #include <machine/asm.h> 34 35 .globl _C_LABEL(__libm_dsqrt_r5) 36 /* 37 * double precision complex absolute value 38 * CABS by W. Kahan, 9/7/80. 39 * Revised for reserved operands by E. LeBlanc, 8/18/82 40 * argument for complex absolute value by reference, *4(%ap) 41 * argument for cabs and hypot (C fcns) by value, 4(%ap) 42 * output is in %r0:%r1 (error less than 0.86 ulps) 43 */ 44 45 /* entry for c functions cabs and hypot */ 46 #ifdef WEAK_ALIAS 47 WEAK_ALIAS(hypotf, _hypotf) 48 #endif 49 50 ENTRY(_hypotf, 0) 51 cvtfd 4(%ap),-(%sp) 52 calls $2,_C_LABEL(_hypot) 53 cvtdf %r0,%r0 54 ret 55 END(_hypotf) 56 57 #ifdef WEAK_ALIAS 58 WEAK_ALIAS(hypot, _hypot) 59 WEAK_ALIAS(hypotl, _hypot) 60 WEAK_ALIAS(_hypotl, _hypot) 61 #endif 62 63 STRONG_ALIAS(_cabs, _hypot) 64 ENTRY(_hypot, 0x8040) # save %r6, enable floating overflow 65 movq 4(%ap),%r0 # %r0:1 = x 66 movq 12(%ap),%r2 # %r2:3 = y 67 jbr cabs2 68 END(_hypot) 69 70 /* entry for Fortran use, call by: d = abs(z) */ 71 ENTRY(z_abs, 0x8040) # save %r6, enable floating overflow 72 movl 4(%ap),%r2 # indirect addressing is necessary here 73 movq (%r2)+,%r0 # %r0:1 = x 74 movq (%r2),%r2 # %r2:3 = y 75 76 cabs2: 77 bicw3 $0x7f,%r0,%r4 # %r4 has signed biased exp of x 78 cmpw $0x8000,%r4 79 jeql return # x is a reserved operand, so return it 80 bicw3 $0x7f,%r2,%r5 # %r5 has signed biased exp of y 81 cmpw $0x8000,%r5 82 jneq cont /* y isn't a reserved operand */ 83 movq %r2,%r0 /* return y if it's reserved */ 84 ret 85 86 cont: 87 bsbb regs_set # %r0:1 = dsqrt(x^2+y^2)/2^%r6 88 addw2 %r6,%r0 # unscaled cdabs in %r0:1 89 jvc return # unless it overflows 90 subw2 $0x80,%r0 # halve %r0 to get meaningful overflow 91 addd2 %r0,%r0 # overflow; %r0 is half of true abs value 92 return: 93 ret 94 END(z_abs) 95 96 ENTRY(__libm_cdabs_r6,0) # ENTRY POINT for cdsqrt 97 # calculates a scaled (factor in %r6) 98 # complex absolute value 99 100 movq (%r4)+,%r0 # %r0:%r1 = x via indirect addressing 101 movq (%r4),%r2 # %r2:%r3 = y via indirect addressing 102 103 bicw3 $0x7f,%r0,%r5 # %r5 has signed biased exp of x 104 cmpw $0x8000,%r5 105 jeql cdreserved # x is a reserved operand 106 bicw3 $0x7f,%r2,%r5 # %r5 has signed biased exp of y 107 cmpw $0x8000,%r5 108 jneq regs_set /* y isn't a reserved operand either? */ 109 110 cdreserved: 111 movl *4(%ap),%r4 # %r4 -> (u,v), if x or y is reserved 112 movq %r0,(%r4)+ # copy u and v as is and return 113 movq %r2,(%r4) # (again addressing is indirect) 114 ret 115 116 regs_set: 117 bicw2 $0x8000,%r0 # %r0:%r1 = dabs(x) 118 bicw2 $0x8000,%r2 # %r2:%r3 = dabs(y) 119 cmpw %r0,%r2 120 jgeq ordered 121 movq %r0,%r4 122 movq %r2,%r0 123 movq %r4,%r2 # force y's exp <= x's exp 124 ordered: 125 bicw3 $0x7f,%r0,%r6 # %r6 = exponent(x) + bias(129) 126 jeql retsb # if x = y = 0 then cdabs(x,y) = 0 127 subw2 $0x4780,%r6 # %r6 = exponent(x) - 14 128 subw2 %r6,%r0 # 2^14 <= scaled x < 2^15 129 bitw $0xff80,%r2 130 jeql retsb # if y = 0 return dabs(x) 131 subw2 %r6,%r2 132 cmpw $0x3780,%r2 # if scaled y < 2^-18 133 jgtr retsb # return dabs(x) 134 emodd %r0,$0,%r0,%r4,%r0 # %r4 + %r0:1 = scaled x^2 135 emodd %r2,$0,%r2,%r5,%r2 # %r5 + %r2:3 = scaled y^2 136 addd2 %r2,%r0 137 addl2 %r5,%r4 138 cvtld %r4,%r2 139 addd2 %r2,%r0 # %r0:1 = scaled x^2 + y^2 140 jmp _C_LABEL(__libm_dsqrt_r5)+2 141 # %r0:1 = dsqrt(x^2+y^2)/2^%r6 142 retsb: 143 rsb # error < 0.86 ulp 144 END(__libm_cdabs_r6) 145
Indexes created Sun Sep 28 07:09:56 GMT 2025