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Diffstat (limited to 'sysdeps/ia64/fpu/e_remainder.S')
| -rw-r--r-- | sysdeps/ia64/fpu/e_remainder.S | 590 |
1 files changed, 0 insertions, 590 deletions
diff --git a/sysdeps/ia64/fpu/e_remainder.S b/sysdeps/ia64/fpu/e_remainder.S deleted file mode 100644 index f655567f52..0000000000 --- a/sysdeps/ia64/fpu/e_remainder.S +++ /dev/null @@ -1,590 +0,0 @@ -.file "remainder.s" - - -// Copyright (c) 2000 - 2003, Intel Corporation -// All rights reserved. -// -// Contributed 2000 by the Intel Numerics Group, Intel Corporation -// -// Redistribution and use in source and binary forms, with or without -// modification, are permitted provided that the following conditions are -// met: -// -// * Redistributions of source code must retain the above copyright -// notice, this list of conditions and the following disclaimer. -// -// * 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. -// -// * The name of Intel Corporation may not be used to endorse or promote -// products derived from this software without specific prior written -// permission. - -// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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 INTEL OR ITS -// 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. -// -// Intel Corporation is the author of this code, and requests that all -// problem reports or change requests be submitted to it directly at -// http://www.intel.com/software/products/opensource/libraries/num.htm. -// -// History -//==================================================================== -// 02/02/00 Initial version -// 03/02/00 New Algorithm -// 04/04/00 Unwind support added -// 07/21/00 Fixed quotient=2^{24*m+23}*1.q1...q23 1 bug -// 08/15/00 Bundle added after call to __libm_error_support to properly -// set [the previously overwritten] GR_Parameter_RESULT. -// 11/29/00 Set FR_Y to f9 -// 05/20/02 Cleaned up namespace and sf0 syntax -// 02/10/03 Reordered header: .section, .global, .proc, .align -// -// API -//==================================================================== -// double remainder(double,double); -// -// Overview of operation -//==================================================================== -// remainder(a,b)=a-i*b, -// where i is an integer such that, if b!=0 and a is finite, -// |a/b-i|<=1/2. If |a/b-i|=1/2, i is even. -// -// Algorithm -//==================================================================== -// a). eliminate special cases -// b). if |a/b|<0.25 (first quotient estimate), return a -// c). use single precision divide algorithm to get quotient q -// rounded to 24 bits of precision -// d). calculate partial remainders (using both q and q-ulp); -// select one and RZ(a/b) based on the sign of |a|-|b|*q -// e). if the exponent difference (exponent(a)-exponent(b)) -// is less than 24 (quotient estimate<2^{24}-2), use RZ(a/b) -// and sticky bits to round to integer; exit loop and -// calculate final remainder -// f). if exponent(a)-exponent(b)>=24, select new value of a as -// the partial remainder calculated using RZ(a/b); -// repeat from c). -// -// Special cases -//==================================================================== -// a=+/- Inf, or b=+/-0: return NaN, call libm_error_support -// a=NaN or b=NaN: return NaN - -// Registers used -//==================================================================== -// Predicate registers: p6-p14 -// General registers: r2,r3,r28,r29,r32 (ar.pfs), r33-r39 -// Floating point registers: f6-f15,f32 - -GR_SAVE_B0 = r33 -GR_SAVE_PFS = r34 -GR_SAVE_GP = r35 -GR_SAVE_SP = r36 - -GR_Parameter_X = r37 -GR_Parameter_Y = r38 -GR_Parameter_RESULT = r39 -GR_Parameter_TAG = r40 - -FR_X = f10 -FR_Y = f9 -FR_RESULT = f8 - - -.section .text -GLOBAL_IEEE754_ENTRY(remainder) - -// inputs in f8, f9 -// result in f8 - -{ .mfi - alloc r32=ar.pfs,1,4,4,0 - // f13=|a| - fmerge.s f13=f0,f8 - nop.i 0 -} - {.mfi - nop.m 0 - // f14=|b| - fmerge.s f14=f0,f9 - nop.i 0;; -} - {.mlx - mov r28=0x2ffdd - // r2=2^{23} - movl r3=0x4b000000;; -} - -// Y +-NAN, +-inf, +-0? p11 -{ .mfi - setf.exp f32=r28 - fclass.m.unc p11,p0 = f9, 0xe7 - nop.i 999 -} -// qnan snan inf norm unorm 0 -+ -// 1 1 1 0 0 0 11 -// e 3 -// X +-NAN, +-inf, ? p9 -{ .mfi - nop.m 999 - fclass.m.unc p9,p0 = f8, 0xe3 - nop.i 999;; -} - -{.mfi - nop.m 0 - mov f12=f0 - nop.i 0 -} -{ .mfi - // set p7=1 - cmp.eq.unc p7,p0=r0,r0 - // Step (1) - // y0 = 1 / b in f10 - frcpa.s1 f10,p6=f13,f14 - nop.i 0;; -} - -{.bbb - (p9) br.cond.spnt FREM_X_NAN_INF - (p11) br.cond.spnt FREM_Y_NAN_INF_ZERO - nop.b 0 -} {.mfi - nop.m 0 - // set D flag if a (f8) is denormal - fnma.s0 f6=f8,f1,f8 - nop.i 0;; -} - - -remloop24: - { .mfi - nop.m 0 - // Step (2) - // q0 = a * y0 in f12 - (p6) fma.s1 f12=f13,f10,f0 - nop.i 0 -} { .mfi - nop.m 0 - // Step (3) - // e0 = 1 - b * y0 in f7 - (p6) fnma.s1 f7=f14,f10,f1 - nop.i 0;; -} {.mlx - nop.m 0 - // r2=1.25*2^{-24} - movl r2=0x33a00000;; -} - -{.mfi - nop.m 0 - // q1=q0*(1+e0) - (p6) fma.s1 f15=f12,f7,f12 - nop.i 0 -} -{ .mfi - nop.m 0 - // Step (4) - // e1 = e0 * e0 + E in f7 - (p6) fma.s1 f7=f7,f7,f32 - nop.i 0;; -} - {.mii - (p7) getf.exp r29=f12 - (p7) mov r28=0xfffd - nop.i 0;; -} - { .mfi - // f12=2^{23} - setf.s f12=r3 - // Step (5) - // q2 = q1 + e1 * q1 in f11 - (p6) fma.s.s1 f11=f7,f15,f15 - nop.i 0 -} { .mfi - nop.m 0 - // Step (6) - // q2 = q1 + e1 * q1 in f6 - (p6) fma.s1 f6=f7,f15,f15 - nop.i 0;; -} - - {.mmi - // f15=1.25*2^{-24} - setf.s f15=r2 - // q<1/4 ? (i.e. expon< -2) - (p7) cmp.gt p7,p0=r28,r29 - nop.i 0;; -} - -{.mfb - // r29= -32+bias - mov r29=0xffdf - // if |a/b|<1/4, set D flag before returning - (p7) fma.d.s0 f9=f9,f0,f8 - nop.b 0;; -} - {.mfb - nop.m 0 - // can be combined with bundle above if sign of 0 or - // FTZ enabled are not important - (p7) fmerge.s f8=f8,f9 - // return if |a|<4*|b| (estimated quotient < 1/4) - (p7) br.ret.spnt b0;; -} - {.mfi - // f7=2^{-32} - setf.exp f7=r29 - // set f8 to current a value | sign - fmerge.s f8=f8,f13 - nop.i 0;; -} - - - {.mfi - getf.exp r28=f6 - // last step ? (q<2^{23}) - fcmp.lt.unc.s1 p0,p12=f6,f12 - nop.i 0;; -} - {.mfi - nop.m 0 - // r=a-b*q - fnma.s1 f6=f14,f11,f13 - nop.i 0 -} {.mfi - // r2=23+bias - mov r2=0xffff+23 - // q'=q-q*(1.25*2^{-24}) (q'=q-ulp) - fnma.s.s1 f15=f11,f15,f11 - nop.i 0;; -} - {.mmi - nop.m 0 - cmp.eq p11,p14=r2,r28 - nop.i 0;; -} - -.pred.rel "mutex",p11,p14 - {.mfi - nop.m 0 - // if exp_q=2^23, then r=a-b*2^{23} - (p11) fnma.s1 f13=f12,f14,f13 - nop.i 0 -} -{.mfi - nop.m 0 - // r2=a-b*q' - (p14) fnma.s1 f13=f14,f15,f13 - nop.i 0;; -} - {.mfi - nop.m 0 - // r>0 iff q=RZ(a/b) and inexact - fcmp.gt.unc.s1 p8,p0=f6,f0 - nop.i 0 -} {.mfi - nop.m 0 - // r<0 iff q'=RZ(a/b) and inexact - (p14) fcmp.lt.unc.s1 p9,p10=f6,f0 - nop.i 0;; -} - -.pred.rel "mutex",p8,p9 - {.mfi - nop.m 0 - // (p8) Q=q+(last iteration ? sticky bits:0) - // i.e. Q=q+q*x (x=2^{-32} or 0) - (p8) fma.s1 f11=f11,f7,f11 - nop.i 0 -} {.mfi - nop.m 0 - // (p9) Q=q'+(last iteration ? sticky bits:0) - // i.e. Q=q'+q'*x (x=2^{-32} or 0) - (p9) fma.s1 f11=f15,f7,f15 - nop.i 0;; -} - - {.mfb - nop.m 0 - // (p9) set r=r2 (new a, if not last iteration) - // (p10) new a =r - (p10) mov f13=f6 - (p12) br.cond.sptk remloop24;; -} - -// last iteration - {.mfi - nop.m 0 - // set f9=|b|*sgn(a) - fmerge.s f9=f8,f9 - nop.i 0 -} - {.mfi - nop.m 0 - // round to integer - fcvt.fx.s1 f11=f11 - nop.i 0;; -} - {.mfi - nop.m 0 - // save sign of a - fmerge.s f7=f8,f8 - nop.i 0 -} {.mfi - nop.m 0 - // normalize - fcvt.xf f11=f11 - nop.i 0;; -} - {.mfi - nop.m 0 - // This can be removed if sign of 0 is not important - // get remainder using sf1 - fnma.d.s1 f12=f9,f11,f8 - nop.i 0 -} - {.mfi - nop.m 0 - // get remainder - fnma.d.s0 f8=f9,f11,f8 - nop.i 0;; -} - {.mfi - nop.m 0 - // f12=0? - // This can be removed if sign of 0 is not important - fcmp.eq.unc.s1 p8,p0=f12,f0 - nop.i 0;; -} - {.mfb - nop.m 0 - // if f8=0, set sign correctly - // This can be removed if sign of 0 is not important - (p8) fmerge.s f8=f7,f8 - // return - br.ret.sptk b0;; -} - - -FREM_X_NAN_INF: - -// Y zero ? -{.mfi - nop.m 0 - fma.s1 f10=f9,f1,f0 - nop.i 0;; -} -{.mfi - nop.m 0 - fcmp.eq.unc.s1 p11,p0=f10,f0 - nop.i 0;; -} -{.mib - nop.m 0 - nop.i 0 - // if Y zero - (p11) br.cond.spnt FREM_Y_ZERO;; -} - -// X infinity? Return QNAN indefinite -{ .mfi - nop.m 999 - fclass.m.unc p8,p0 = f8, 0x23 - nop.i 999 -} -// X infinity? Return QNAN indefinite -{ .mfi - nop.m 999 - fclass.m.unc p11,p0 = f8, 0x23 - nop.i 999;; -} -// Y NaN ? -{.mfi - nop.m 999 -(p8) fclass.m.unc p0,p8=f9,0xc3 - nop.i 0;; -} -{.mfi - nop.m 999 - // also set Denormal flag if necessary -(p8) fma.s0 f9=f9,f1,f0 - nop.i 0 -} -{ .mfi - nop.m 999 -(p8) frcpa.s0 f8,p7 = f8,f8 - nop.i 999 ;; -} - -{.mfi - nop.m 999 -(p11) mov f10=f8 - nop.i 0 -} -{ .mfi - nop.m 999 -(p8) fma.d.s0 f8=f8,f1,f0 - nop.i 0 ;; -} - -{ .mfb - nop.m 999 - frcpa.s0 f8,p7=f8,f9 - (p11) br.cond.spnt EXP_ERROR_RETURN;; -} -{ .mib - nop.m 0 - nop.i 0 - br.ret.spnt b0 ;; -} - - -FREM_Y_NAN_INF_ZERO: - -// Y INF -{ .mfi - nop.m 999 - fclass.m.unc p7,p0 = f9, 0x23 - nop.i 999 ;; -} - -{ .mfb - nop.m 999 -(p7) fma.d.s0 f8=f8,f1,f0 -(p7) br.ret.spnt b0 ;; -} - -// Y NAN? -{ .mfi - nop.m 999 - fclass.m.unc p9,p0 = f9, 0xc3 - nop.i 999 ;; -} - -{ .mfb - nop.m 999 -(p9) fma.d.s0 f8=f9,f1,f0 -(p9) br.ret.spnt b0 ;; -} - -FREM_Y_ZERO: -// Y zero? Must be zero at this point -// because it is the only choice left. -// Return QNAN indefinite - -// X NAN? -{ .mfi - nop.m 999 - fclass.m.unc p9,p10 = f8, 0xc3 - nop.i 999 ;; -} -{ .mfi - nop.m 999 -(p10) fclass.nm p9,p10 = f8, 0xff - nop.i 999 ;; -} - -{.mfi - nop.m 999 - (p9) frcpa.s0 f11,p7=f8,f0 - nop.i 0;; -} - -{ .mfi - nop.m 999 -(p10) frcpa.s0 f11,p7 = f0,f0 - nop.i 999;; -} - -{ .mfi - nop.m 999 - fmerge.s f10 = f8, f8 - nop.i 999 -} - -{ .mfi - nop.m 999 - fma.d.s0 f8=f11,f1,f0 - nop.i 999 -} - - -EXP_ERROR_RETURN: - -{ .mib - mov GR_Parameter_TAG = 124 - nop.i 999 - br.sptk __libm_error_region;; -} - -GLOBAL_IEEE754_END(remainder) - - - -LOCAL_LIBM_ENTRY(__libm_error_region) -.prologue -{ .mfi - add GR_Parameter_Y=-32,sp // Parameter 2 value - nop.f 0 -.save ar.pfs,GR_SAVE_PFS - mov GR_SAVE_PFS=ar.pfs // Save ar.pfs -} -{ .mfi -.fframe 64 - add sp=-64,sp // Create new stack - nop.f 0 - mov GR_SAVE_GP=gp // Save gp -};; -{ .mmi - stfd [GR_Parameter_Y] = FR_Y,16 // Save Parameter 2 on stack - add GR_Parameter_X = 16,sp // Parameter 1 address -.save b0, GR_SAVE_B0 - mov GR_SAVE_B0=b0 // Save b0 -};; -.body -{ .mib - stfd [GR_Parameter_X] = FR_X // Store Parameter 1 on stack - add GR_Parameter_RESULT = 0,GR_Parameter_Y - nop.b 0 // Parameter 3 address -} -{ .mib - stfd [GR_Parameter_Y] = FR_RESULT // Store Parameter 3 on stack - add GR_Parameter_Y = -16,GR_Parameter_Y - br.call.sptk b0=__libm_error_support# // Call error handling function -};; -{ .mmi - nop.m 0 - nop.m 0 - add GR_Parameter_RESULT = 48,sp -};; -{ .mmi - ldfd f8 = [GR_Parameter_RESULT] // Get return result off stack -.restore sp - add sp = 64,sp // Restore stack pointer - mov b0 = GR_SAVE_B0 // Restore return address -};; -{ .mib - mov gp = GR_SAVE_GP // Restore gp - mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs - br.ret.sptk b0 // Return -};; - -LOCAL_LIBM_END(__libm_error_region) - - - -.type __libm_error_support#,@function -.global __libm_error_support# - - |