diff options
Diffstat (limited to 'sysdeps/ia64/fpu/e_fmod.S')
| -rw-r--r-- | sysdeps/ia64/fpu/e_fmod.S | 559 |
1 files changed, 0 insertions, 559 deletions
diff --git a/sysdeps/ia64/fpu/e_fmod.S b/sysdeps/ia64/fpu/e_fmod.S deleted file mode 100644 index dbd0a29698..0000000000 --- a/sysdeps/ia64/fpu/e_fmod.S +++ /dev/null @@ -1,559 +0,0 @@ -.file "fmod.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 -// 08/15/00 Bundle added after call to __libm_error_support to properly -// set [the previously overwritten] GR_Parameter_RESULT. -// 11/28/00 Set FR_Y to f9 -// 03/11/02 Fixed flags for fmod(qnan,zero) -// 05/20/02 Cleaned up namespace and sf0 syntax -// 02/10/03 Reordered header: .section, .global, .proc, .align -// 04/28/03 Fix: fmod(sNaN,0) no longer sets errno -// -// API -//==================================================================== -// double fmod(double,double); -// -// Overview of operation -//==================================================================== -// fmod(a,b)=a-i*b, -// where i is an integer such that, if b!=0, -// |i|<|a/b| and |a/b-i|<1 -// -// Algorithm -//==================================================================== -// a). if |a|<|b|, return a -// b). get quotient and reciprocal overestimates accurate to -// 33 bits (q2,y2) -// c). if the exponent difference (exponent(a)-exponent(b)) -// is less than 32, truncate quotient to integer and -// finish in one iteration -// d). if exponent(a)-exponent(b)>=32 (q2>=2^32) -// round quotient estimate to single precision (k=RN(q2)), -// calculate partial remainder (a'=a-k*b), -// get quotient estimate (a'*y2), and repeat from c). -// -// Special cases -//==================================================================== -// b=+/-0: return NaN, call libm_error_support -// a=+/-Inf, a=NaN or b=NaN: return NaN -// -// Registers used -//==================================================================== -// Predicate registers: p6-p11 -// General registers: r2,r29,r32 (ar.pfs), r33-r39 -// Floating point registers: f6-f15 - -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(fmod) - -// inputs in f8, f9 -// result in f8 - -{ .mfi - alloc r32=ar.pfs,1,4,4,0 - // f6=|a| - fmerge.s f6=f0,f8 - mov r2 = 0x0ffdd -} - {.mfi - nop.m 0 - // f7=|b| - fmerge.s f7=f0,f9 - nop.i 0;; -} - -{ .mfi - setf.exp f11 = r2 - // (1) y0 - frcpa.s1 f10,p6=f6,f7 - nop.i 0 -} - -// Y +-NAN, +-inf, +-0? p7 -{ .mfi - nop.m 999 - fclass.m.unc p7,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 -} - -// |x| < |y|? Return x p8 -{ .mfi - nop.m 999 - fcmp.lt.unc.s1 p8,p0 = f6,f7 - nop.i 999 ;; -} - -{ .mfi - nop.m 0 - // normalize y (if |x|<|y|) - (p8) fma.s0 f9=f9,f1,f0 - nop.i 0;; -} - - { .mfi - mov r2=0x1001f - // (2) q0=a*y0 - (p6) fma.s1 f13=f6,f10,f0 - nop.i 0 -} -{ .mfi - nop.m 0 - // (3) e0 = 1 - b * y0 - (p6) fnma.s1 f12=f7,f10,f1 - nop.i 0;; -} - - {.mfi - nop.m 0 - // normalize x (if |x|<|y|) - (p8) fma.d.s0 f8=f8,f1,f0 - nop.i 0 -} -{.bbb - (p9) br.cond.spnt FMOD_X_NAN_INF - (p7) br.cond.spnt FMOD_Y_NAN_INF_ZERO - // if |x|<|y|, return - (p8) br.ret.spnt b0;; -} - - {.mfi - nop.m 0 - // normalize x - fma.s0 f6=f6,f1,f0 - nop.i 0 -} -{.mfi - nop.m 0 - // normalize y - fma.s0 f7=f7,f1,f0 - nop.i 0;; -} - - {.mfi - // f15=2^32 - setf.exp f15=r2 - // (4) q1=q0+e0*q0 - (p6) fma.s1 f13=f12,f13,f13 - nop.i 0 -} -{ .mfi - nop.m 0 - // (5) e1 = e0 * e0 + 2^-34 - (p6) fma.s1 f14=f12,f12,f11 - nop.i 0;; -} -{.mlx - nop.m 0 - movl r2=0x33a00000;; -} -{ .mfi - nop.m 0 - // (6) y1 = y0 + e0 * y0 - (p6) fma.s1 f10=f12,f10,f10 - nop.i 0;; -} -{.mfi - // set f12=1.25*2^{-24} - setf.s f12=r2 - // (7) q2=q1+e1*q1 - (p6) fma.s1 f13=f13,f14,f13 - nop.i 0;; -} -{.mfi - nop.m 0 - fmerge.s f9=f8,f9 - nop.i 0 -} -{ .mfi - nop.m 0 - // (8) y2 = y1 + e1 * y1 - (p6) fma.s1 f10=f14,f10,f10 - // set p6=0, p10=0 - cmp.ne.and p6,p10=r0,r0;; -} - -.align 32 -loop53: - {.mfi - nop.m 0 - // compare q2, 2^32 - fcmp.lt.unc.s1 p8,p7=f13,f15 - nop.i 0 -} - {.mfi - nop.m 0 - // will truncate quotient to integer, if exponent<32 (in advance) - fcvt.fx.trunc.s1 f11=f13 - nop.i 0;; -} - {.mfi - nop.m 0 - // if exponent>32, round quotient to single precision (perform in advance) - fma.s.s1 f13=f13,f1,f0 - nop.i 0;; -} - {.mfi - nop.m 0 - // set f12=sgn(a) - (p8) fmerge.s f12=f8,f1 - nop.i 0 -} - {.mfi - nop.m 0 - // normalize truncated quotient - (p8) fcvt.xf f13=f11 - nop.i 0;; -} - { .mfi - nop.m 0 - // calculate remainder (assuming f13=RZ(Q)) - (p7) fnma.s1 f14=f13,f7,f6 - nop.i 0 -} - {.mfi - nop.m 0 - // also if exponent>32, round quotient to single precision - // and subtract 1 ulp: q=q-q*(1.25*2^{-24}) - (p7) fnma.s.s1 f11=f13,f12,f13 - nop.i 0;; -} - - {.mfi - nop.m 0 - // (p8) calculate remainder (82-bit format) - (p8) fnma.s1 f11=f13,f7,f6 - nop.i 0 -} - {.mfi - nop.m 0 - // (p7) calculate remainder (assuming f11=RZ(Q)) - (p7) fnma.s1 f6=f11,f7,f6 - nop.i 0;; -} - - - {.mfi - nop.m 0 - // Final iteration (p8): is f6 the correct remainder (quotient was not overestimated) ? - (p8) fcmp.lt.unc.s1 p6,p10=f11,f0 - nop.i 0;; -} - {.mfi - nop.m 0 - // get new quotient estimation: a'*y2 - (p7) fma.s1 f13=f14,f10,f0 - nop.i 0 -} - {.mfb - nop.m 0 - // was f14=RZ(Q) ? (then new remainder f14>=0) - (p7) fcmp.lt.unc.s1 p7,p9=f14,f0 - nop.b 0;; -} - - -.pred.rel "mutex",p6,p10 - {.mfb - nop.m 0 - // add b to estimated remainder (to cover the case when the quotient was overestimated) - // also set correct sign by using f9=|b|*sgn(a), f12=sgn(a) - (p6) fma.d.s0 f8=f11,f12,f9 - nop.b 0 -} - {.mfb - nop.m 0 - // calculate remainder (single precision) - // set correct sign of result before returning - (p10) fma.d.s0 f8=f11,f12,f0 - (p8) br.ret.sptk b0;; -} - {.mfi - nop.m 0 - // if f13!=RZ(Q), get alternative quotient estimation: a''*y2 - (p7) fma.s1 f13=f6,f10,f0 - nop.i 0 -} - {.mfb - nop.m 0 - // if f14 was RZ(Q), set remainder to f14 - (p9) mov f6=f14 - br.cond.sptk loop53;; -} - - - -FMOD_X_NAN_INF: - -// Y zero ? -{.mfi - nop.m 0 - fclass.m p10,p0=f8,0xc3 // Test x=nan - nop.i 0 -} -{.mfi - nop.m 0 - fma.s1 f10=f9,f1,f0 - nop.i 0;; -} - -{.mfi - nop.m 0 - fma.s0 f8=f8,f1,f0 - nop.i 0 -} -{.mfi - nop.m 0 -(p10) fclass.m p10,p0=f9,0x07 // Test x=nan, and y=zero - nop.i 0;; -} - -{.mfb - nop.m 0 - fcmp.eq.unc.s1 p11,p0=f10,f0 -(p10) br.ret.spnt b0;; // Exit with result=x if x=nan and y=zero -} -{.mib - nop.m 0 - nop.i 0 - // if Y zero - (p11) br.cond.spnt FMOD_Y_ZERO;; -} - -// X infinity? Return QNAN indefinite -{ .mfi - nop.m 999 - fclass.m.unc p8,p9 = f8, 0x23 - nop.i 999;; -} -// Y NaN ? -{.mfi - nop.m 999 -(p8) fclass.m p9,p8=f9,0xc3 - nop.i 0;; -} -{.mfi - nop.m 999 -(p8) frcpa.s0 f8,p0 = f8,f8 - nop.i 0 -} -{ .mfi - nop.m 999 - // also set Denormal flag if necessary -(p8) fma.s0 f9=f9,f1,f0 - nop.i 999 ;; -} - -{ .mfb - nop.m 999 -(p8) fma.d.s0 f8=f8,f1,f0 - nop.b 999 ;; -} - -{ .mfb - nop.m 999 -(p9) frcpa.s0 f8,p7=f8,f9 - br.ret.sptk b0 ;; -} - - -FMOD_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 ;; -} - -FMOD_Y_ZERO: -// Y zero? Must be zero at this point -// because it is the only choice left. -// Return QNAN indefinite - -{.mfi - nop.m 0 - // set Invalid - frcpa.s0 f12,p0=f0,f0 - nop.i 0 -} -// 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 = f9,f9 - mov GR_Parameter_TAG = 121 ;; -} - -{ .mfi - nop.m 999 - fmerge.s f10 = f8, f8 - nop.i 999 -} - -{ .mfb - nop.m 999 - fma.d.s0 f8=f11,f1,f0 - br.sptk __libm_error_region;; -} - -GLOBAL_IEEE754_END(fmod) - -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# - - - - |