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Diffstat (limited to 'sysdeps/ia64/fpu/e_fmodl.S')
| -rw-r--r-- | sysdeps/ia64/fpu/e_fmodl.S | 672 |
1 files changed, 0 insertions, 672 deletions
diff --git a/sysdeps/ia64/fpu/e_fmodl.S b/sysdeps/ia64/fpu/e_fmodl.S deleted file mode 100644 index 3e87eb090f..0000000000 --- a/sysdeps/ia64/fpu/e_fmodl.S +++ /dev/null @@ -1,672 +0,0 @@ -.file "fmodl.s" - - -// Copyright (c) 2000 - 2004, 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 fmodl(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 -// 11/23/04 Reformatted routine and improved speed -// -// API -//==================================================================== -// long double fmodl(long double, long 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). -// -// Registers used -//==================================================================== - -GR_SMALLBIASEXP = r2 -GR_2P32 = r3 -GR_SMALLBIASEXP = r20 -GR_ROUNDCONST = r21 -GR_SIG_B = r22 -GR_ARPFS = r23 -GR_TMP1 = r24 -GR_TMP2 = r25 -GR_TMP3 = r26 - -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 - -FR_ABS_A = f6 -FR_ABS_B = f7 -FR_Y_INV = f10 -FR_SMALLBIAS = f11 -FR_E0 = f12 -FR_Q = f13 -FR_E1 = f14 -FR_2P32 = f15 -FR_TMPX = f32 -FR_TMPY = f33 -FR_ROUNDCONST = f34 -FR_QINT = f35 -FR_QRND24 = f36 -FR_NORM_B = f37 -FR_TMP = f38 -FR_TMP2 = f39 -FR_DFLAG = f40 -FR_Y_INV0 = f41 -FR_Y_INV1 = f42 -FR_Q0 = f43 -FR_Q1 = f44 -FR_QINT_Z = f45 -FR_QREM = f46 -FR_B_SGN_A = f47 - -.section .text -GLOBAL_IEEE754_ENTRY(fmodl) - -// inputs in f8, f9 -// result in f8 - -{ .mfi - getf.sig GR_SIG_B = f9 - // FR_ABS_A = |a| - fmerge.s FR_ABS_A = f0, f8 - mov GR_SMALLBIASEXP = 0x0ffdd -} -{ .mfi - nop.m 0 - // FR_ABS_B = |b| - fmerge.s FR_ABS_B = f0, f9 - nop.i 0 -} -;; - -{ .mfi - setf.exp FR_SMALLBIAS = GR_SMALLBIASEXP - // (1) y0 - frcpa.s1 FR_Y_INV0, p6 = FR_ABS_A, FR_ABS_B - nop.i 0 -} -;; - -{ .mlx - nop.m 0 - movl GR_ROUNDCONST = 0x33a00000 -} -;; - -// eliminate special cases -{ .mmi - nop.m 0 - nop.m 0 - // y pseudo-zero ? - cmp.eq p7, p10 = GR_SIG_B, r0 -} -;; - -// set p7 if b +/-NAN, +/-inf, +/-0 -{ .mfi - nop.m 0 - (p10) fclass.m p7, p10 = f9, 0xe7 - nop.i 0 -} -;; - -{ .mfi - mov GR_2P32 = 0x1001f - // (2) q0 = a*y0 - (p6) fma.s1 FR_Q0 = FR_ABS_A, FR_Y_INV0, f0 - nop.i 0 -} -{ .mfi - nop.m 0 - // (3) e0 = 1 - b * y0 - (p6) fnma.s1 FR_E0 = FR_ABS_B, FR_Y_INV0, f1 - nop.i 0 -} -;; - -// set p9 if a +/-NAN, +/-inf -{ .mfi - nop.m 0 - fclass.m.unc p9, p11 = f8, 0xe3 - nop.i 0 -} - // |a| < |b|? Return a, p8=1 -{ .mfi - nop.m 0 - (p10) fcmp.lt.unc.s1 p8, p0 = FR_ABS_A, FR_ABS_B - nop.i 0 -} -;; - -// set p7 if b +/-NAN, +/-inf, +/-0 -{ .mfi - nop.m 0 - // pseudo-NaN ? - (p10) fclass.nm p7, p0 = f9, 0xff - nop.i 0 -} -;; - -// set p9 if a is +/-NaN, +/-Inf -{ .mfi - nop.m 0 - (p11) fclass.nm p9, p0 = f8, 0xff - nop.i 0 -} -{ .mfi - nop.m 0 - // b denormal ? set D flag (if |a|<|b|) - (p8) fnma.s0 FR_DFLAG = f9, f1, f9 - nop.i 0 -} -;; - -{ .mfi - // FR_2P32 = 2^32 - setf.exp FR_2P32 = GR_2P32 - // (4) q1 = q0+e0*q0 - (p6) fma.s1 FR_Q1 = FR_E0, FR_Q0, FR_Q0 - nop.i 0 -} -{ .mfi - nop.m 0 - // (5) e1 = e0 * e0 + 2^-34 - (p6) fma.s1 FR_E1 = FR_E0, FR_E0, FR_SMALLBIAS - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - // normalize a (if |a|<|b|) - (p8) fma.s0 f8 = f8, f1, f0 - nop.i 0 -} -{ .bbb - (p9) br.cond.spnt FMOD_A_NAN_INF - (p7) br.cond.spnt FMOD_B_NAN_INF_ZERO - // if |a|<|b|, return - (p8) br.ret.spnt b0 -} -;; - - -{ .mfi - nop.m 0 - // (6) y1 = y0 + e0 * y0 - (p6) fma.s1 FR_Y_INV1 = FR_E0, FR_Y_INV0, FR_Y_INV0 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - // a denormal ? set D flag - // b denormal ? set D flag - fcmp.eq.s0 p12,p0 = FR_ABS_A, FR_ABS_B - nop.i 0 -} -{ .mfi - // set FR_ROUNDCONST = 1.25*2^{-24} - setf.s FR_ROUNDCONST = GR_ROUNDCONST - // (7) q2 = q1+e1*q1 - (p6) fma.s1 FR_Q = FR_Q1, FR_E1, FR_Q1 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - fmerge.s FR_B_SGN_A = f8, f9 - nop.i 0 -} -{ .mfi - nop.m 0 - // (8) y2 = y1 + e1 * y1 - (p6) fma.s1 FR_Y_INV = FR_E1, FR_Y_INV1, FR_Y_INV1 - // set p6 = 0, p10 = 0 - cmp.ne.and p6, p10 = r0, r0 -} -;; - -// will compute integer quotient bits (24 bits per iteration) -.align 32 -loop64: -{ .mfi - nop.m 0 - // compare q2, 2^32 - fcmp.lt.unc.s1 p8, p7 = FR_Q, FR_2P32 - nop.i 0 -} -{ .mfi - nop.m 0 - // will truncate quotient to integer, if exponent<32 (in advance) - fcvt.fx.trunc.s1 FR_QINT = FR_Q - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - // if exponent>32 round quotient to single precision (perform in advance) - fma.s.s1 FR_QRND24 = FR_Q, f1, f0 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - // set FR_ROUNDCONST = sgn(a) - (p8) fmerge.s FR_ROUNDCONST = f8, f1 - nop.i 0 -} -{ .mfi - nop.m 0 - // normalize truncated quotient - (p8) fcvt.xf FR_QRND24 = FR_QINT - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - // calculate remainder (assuming FR_QRND24 = RZ(Q)) - (p7) fnma.s1 FR_E1 = FR_QRND24, FR_ABS_B, FR_ABS_A - 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 FR_QINT_Z = FR_QRND24, FR_ROUNDCONST, FR_QRND24 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - // (p8) calculate remainder (82-bit format) - (p8) fnma.s1 FR_QREM = FR_QRND24, FR_ABS_B, FR_ABS_A - nop.i 0 -} -{ .mfi - nop.m 0 - // (p7) calculate remainder (assuming FR_QINT_Z = RZ(Q)) - (p7) fnma.s1 FR_ABS_A = FR_QINT_Z, FR_ABS_B, FR_ABS_A - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - // Final iteration (p8): is FR_ABS_A the correct remainder - // (quotient was not overestimated) ? - (p8) fcmp.lt.unc.s1 p6, p10 = FR_QREM, f0 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - // get new quotient estimation: a'*y2 - (p7) fma.s1 FR_Q = FR_E1, FR_Y_INV, f0 - nop.i 0 -} -{ .mfb - nop.m 0 - // was FR_Q = RZ(Q) ? (then new remainder FR_E1> = 0) - (p7) fcmp.lt.unc.s1 p7, p9 = FR_E1, 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 - // FR_B_SGN_A = |b|*sgn(a), FR_ROUNDCONST = sgn(a) - (p6) fma.s0 f8 = FR_QREM, FR_ROUNDCONST, FR_B_SGN_A - nop.b 0 -} -{ .mfb - nop.m 0 - // set correct sign of result before returning: FR_ROUNDCONST = sgn(a) - (p10) fma.s0 f8 = FR_QREM, FR_ROUNDCONST, f0 - (p8) br.ret.sptk b0 -} -;; - -{ .mfi - nop.m 0 - // if f13! = RZ(Q), get alternative quotient estimation: a''*y2 - (p7) fma.s1 FR_Q = FR_ABS_A, FR_Y_INV, f0 - nop.i 0 -} -{ .mfb - nop.m 0 - // if FR_E1 was RZ(Q), set remainder to FR_E1 - (p9) fma.s1 FR_ABS_A = FR_E1, f1, f0 - br.cond.sptk loop64 -} -;; - -FMOD_A_NAN_INF: - -// b zero ? -{ .mfi - nop.m 0 - fclass.m p10, p0 = f8, 0xc3 // Test a = nan - nop.i 0 -} -{ .mfi - nop.m 0 - fma.s1 FR_NORM_B = 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 = FR_NORM_B, f0 - (p10) br.ret.spnt b0 // Exit with result = a if a = nan and b = zero -} -;; - -{ .mib - nop.m 0 - nop.i 0 - // if Y zero - (p11) br.cond.spnt FMOD_B_ZERO -} -;; - -// a= infinity? Return QNAN indefinite -{ .mfi - // set p7 t0 0 - cmp.ne p7, p0 = r0, r0 - fclass.m.unc p8, p9 = f8, 0x23 - nop.i 0 -} -;; - -// b NaN ? -{ .mfi - nop.m 0 - (p8) fclass.m p9, p8 = f9, 0xc3 - nop.i 0 -} -;; - -// b not pseudo-zero ? (GR_SIG_B holds significand) -{ .mii - nop.m 0 - (p8) cmp.ne p7, p0 = GR_SIG_B, r0 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - (p8) frcpa.s0 f8, p0 = f8, f8 - nop.i 0 -} -{ .mfi - nop.m 0 - // also set Denormal flag if necessary - (p7) fnma.s0 f9 = f9, f1, f9 - nop.i 0 -} -;; - -{ .mfb - nop.m 0 - (p8) fma.s0 f8 = f8, f1, f0 - nop.b 0 -} -;; - -{ .mfb - nop.m 0 - (p9) frcpa.s0 f8, p7 = f8, f9 - br.ret.sptk b0 -} -;; - -FMOD_B_NAN_INF_ZERO: -// b INF -{ .mfi - nop.m 0 - fclass.m.unc p7, p0 = f9, 0x23 - nop.i 0 -} -;; - -{ .mfb - nop.m 0 - (p7) fma.s0 f8 = f8, f1, f0 - (p7) br.ret.spnt b0 -} -;; - -// b NAN? -{ .mfi - nop.m 0 - fclass.m.unc p9, p10 = f9, 0xc3 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - (p10) fclass.nm p9, p0 = f9, 0xff - nop.i 0 -} -;; - -{ .mfb - nop.m 0 - (p9) fma.s0 f8 = f9, f1, f0 - (p9) br.ret.spnt b0 -} -;; - -FMOD_B_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 FR_TMP, p0 = f0, f0 - nop.i 0 -} -;; - -// a NAN? -{ .mfi - nop.m 0 - fclass.m.unc p9, p10 = f8, 0xc3 - nop.i 0 -} -;; - -{ .mfi - alloc GR_ARPFS = ar.pfs, 1, 4, 4, 0 - (p10) fclass.nm p9, p10 = f8, 0xff - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - (p9) frcpa.s0 FR_TMP2, p7 = f8, f0 - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - (p10) frcpa.s0 FR_TMP2, p7 = f9, f9 - mov GR_Parameter_TAG = 120 -} -;; - -{ .mfi - nop.m 0 - fmerge.s FR_X = f8, f8 - nop.i 0 -} -{ .mfb - nop.m 0 - fma.s0 f8 = FR_TMP2, f1, f0 - br.sptk __libm_error_region -} -;; - -GLOBAL_IEEE754_END(fmodl) - -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 - stfe [ 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 - stfe [ 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 - stfe [ 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 - ldfe 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# |