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Diffstat (limited to 'sysdeps/ia64/fpu/e_hypotl.S')
| -rw-r--r-- | sysdeps/ia64/fpu/e_hypotl.S | 475 |
1 files changed, 475 insertions, 0 deletions
diff --git a/sysdeps/ia64/fpu/e_hypotl.S b/sysdeps/ia64/fpu/e_hypotl.S new file mode 100644 index 0000000000..07bb6860ed --- /dev/null +++ b/sysdeps/ia64/fpu/e_hypotl.S @@ -0,0 +1,475 @@ +.file "hypotl.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 hand-optimized +// 04/04/00 Unwind support added +// 06/20/00 new version +// 08/15/00 Bundle added after call to __libm_error_support to properly +// set [the previously overwritten] GR_Parameter_RESULT. +// 05/20/02 Cleaned up namespace and sf0 syntax +// 02/10/03 Reordered header: .section, .global, .proc, .align +// +//********************************************************************* +// ___________ +// Function: hypotl(x,y) = |(x^2 + y^2) = for double extended values +// x and y +// Also provides cabsl functionality. +// +//********************************************************************* +// +// Resources Used: +// +// Floating-Point Registers: f8 (Input and Return Value) +// f9 (Input) +// f6 -f15, f32-f34 +// +// General Purpose Registers: +// r2-r3 (Scratch) +// r32-r36 (Locals) +// r37-r40 (Used to pass arguments to error handling routine) +// +// Predicate Registers: p6 - p10 +// +//********************************************************************* +// +// IEEE Special Conditions: +// +// All faults and exceptions should be raised correctly. +// Overflow can occur. +// hypotl(Infinity and anything) = +Infinity +// hypotl(QNaN and anything) = QNaN +// hypotl(SNaN and anything ) = QNaN +// +//********************************************************************* +// +// Implementation: +// x2 = x * x in double-extended +// y2 = y * y in double-extended +// temp = x2 + y2 in double-extended +// sqrt(temp) rounded to double extended +// +//********************************************************************* + +GR_SAVE_PFS = r33 +GR_SAVE_B0 = r34 +GR_SAVE_GP = r35 +GR_Parameter_X = r36 +GR_Parameter_Y = r37 +GR_Parameter_RESULT = r38 +GR_Parameter_TAG = r39 + +FR_X = f32 +FR_Y = f33 +FR_RESULT = f8 + +.section .text + +LOCAL_LIBM_ENTRY(cabsl) +LOCAL_LIBM_END(cabsl) + +GLOBAL_IEEE754_ENTRY(hypotl) +{.mfi + alloc r32= ar.pfs,0,4,4,0 + // Compute x*x + fma.s1 f10=f8,f8,f0 + // r2=bias-1 + mov r2=0xfffe +} +{.mfi + nop.m 0 + // y*y + fma.s1 f11=f9,f9,f0 + nop.i 0;; +} + +{ .mfi + nop.m 0 +// Check if x is an Inf - if so return Inf even +// if y is a NaN (C9X) + fclass.m.unc p7, p6 = f8, 0x023 + nop.i 0 +} +{.mfi + nop.m 0 + // if possible overflow, copy f8 to f32 + // set Denormal, if necessary + // (p8) + fma.s0 f32=f8,f1,f0 + nop.i 0;; +} +{ .mfi + nop.m 0 +// Check if y is an Inf - if so return Inf even +// if x is a NaN (C9X) + fclass.m.unc p8, p9 = f9, 0x023 + nop.i 0 +} +{ .mfi + nop.m 999 +// For x=inf, multiply y by 1 to raise invalid on y an SNaN +// (p7) fma.s0 f9=f9,f1,f0 + // copy f9 to f33; set Denormal, if necessary + fma.s0 f33=f9,f1,f0 + nop.i 0;; +} +{.mfi + nop.m 0 + // is y Zero ? + (p6) fclass.m p6,p0=f9,0x7 + nop.i 0;; +} + +{.mfi + // f7=0.5 + setf.exp f7=r2 + // a=x2+y2 + fma.s1 f12=f10,f1,f11 + nop.i 0 +} +{.mfi + mov r2=0x408c //0000 + // dx=x*x-x2 + fms.s1 f13=f8,f8,f10 + nop.i 0;; +} +{.mfi + nop.m 0 + // is x Zero ? + (p9) fclass.m p9,p0=f8,0x7 + shl r2=r2,16 +} +{.mfi + nop.m 0 + // dy=y*y-y2 + fms.s1 f14=f9,f9,f11 + nop.i 0;; +} + +{.mfi + nop.m 0 + // x not NaN ? + (p6) fclass.m p7,p0=f8,0x3f + nop.i 0 +} +{.mfi + nop.m 0 + // f6=2 + fma.s1 f6=f1,f1,f1 + nop.i 0;; +} + +{.mfi + nop.m 0 + // f34=min(x2,y2) + famin.s1 f34=f10,f11 + nop.i 0 +} +{.mfb + nop.m 0 + // f10=max(x2,y2) + famax.s1 f10=f11,f10 + nop.b 0;; // +} + +{.mfi + nop.m 0 + // y not NaN ? + (p9) fclass.m p8,p0=f9,0x3f + nop.i 0;; +} +{.mfb + // f9=35/8 + setf.s f9=r2 + // if f8=Infinity or f9=Zero, return |f8| + (p7) fmerge.s f8=f0,f32 + (p7) br.ret.spnt b0;; +} + + +{.mfi + nop.m 0 + // z0=frsqrta(a) + frsqrta.s1 f8,p6=f12 + nop.i 0;; +} +{ .mfi + nop.m 0 +// Identify Natvals, Infs, NaNs, and Zeros +// and return result + fclass.m.unc p7, p0 = f12, 0x1E7 + nop.i 0 +} +{.mfi + // get exponent of x^2+y^2 + getf.exp r3=f12 + // dxy=dx+dy + fma.s1 f13=f13,f1,f14 + nop.i 0;; +} + +{.mfb + // 2*emax-2 + mov r2=0x17ffb + // if f9=Infinity or f8=Zero, return |f9| + (p8) fmerge.s f8=f0,f33 + (p8) br.ret.spnt b0 +} +{.mfi + nop.m 0 + // dd=a-max(x2,y2) + fnma.s1 f10=f10,f1,f12 + nop.i 0;; +} + +{.mfi + nop.m 0 + // S0=a*z0 + (p6) fma.s1 f14=f12,f8,f0 + nop.i 0 +} +{.mfi + nop.m 0 + // H0=0.5*z0 + (p6) fma.s1 f15=f8,f7,f0 + nop.i 0;; +} + +{.mfb + nop.m 0 + // if special case, set f8 + (p7) mov f8=f12 + (p7) br.ret.spnt b0 +} +{.mfi + nop.m 0 + // da=min(x2,y2)-dd + fnma.s1 f10=f10,f1,f34 + nop.i 0;; +} +{.mfi + nop.m 0 + // f6=5/2 + fma.s1 f6=f7,f1,f6 + nop.i 0 +} +{.mfi + nop.m 0 + // f11=3/2 + fma.s1 f11=f7,f1,f1 + nop.i 0;; +} + +{.mfi + nop.m 0 + // d=0.5-S0*H0 + (p6) fnma.s1 f7=f14,f15,f7 + nop.i 0;; +} + +{.mfi + nop.m 0 + // P1=3/2*d+1 + (p6) fma.s1 f11=f11,f7,f1 + nop.i 0 +} +{.mfi + nop.m 0 + // P2=35/8*d+5/2 + (p6) fma.s1 f9=f9,f7,f6 + nop.i 0;; +} +{.mfi + nop.m 0 + // d2=d*d + (p6) fma.s1 f34=f7,f7,f0 + nop.i 0;; +} + +{.mfi + nop.m 0 + // T0=d*S0 + (p6) fma.s1 f6=f7,f14,f0 + nop.i 0 +} +{.mfi + nop.m 0 + // G0=d*H0 + (p6) fma.s1 f7=f7,f15,f0 + nop.i 0;; +} +{.mfi + nop.m 0 + // P=d2*P2+P1 + (p6) fma.s1 f11=f34,f9,f11 + nop.i 0;; +} + +{.mfi + nop.m 0 + // S1=p*T0+S0 + (p6) fma.s1 f14=f11,f6,f14 + nop.i 0 +} +{.mfi + nop.m 0 + // H1=p*G0+H0 + (p6) fma.s1 f15=f11,f7,f15 + nop.i 0;; +} + + +{.mfi + nop.m 0 + // e1=a-S1*S1 + (p6) fnma.s1 f7=f14,f14,f12 + nop.i 0 +} +{.mfi + // Is x^2 + y^2 well less than the overflow + // threshold? + (p6) cmp.lt.unc p7, p8 = r3,r2 + // c=dxy+da + (p6) fma.s1 f13=f13,f1,f10 + nop.i 0;; +} + +{.mfi + nop.m 0 + // e=e1+c + (p6) fma.s1 f13=f7,f1,f13 + nop.i 0;; +} + +{.mfb + nop.m 0 + // S=e*H1+S1 + fma.s0 f8=f13,f15,f14 + // No overflow in this case + (p7) br.ret.sptk b0;; +} + +{ .mfi + nop.m 0 +(p8) fsetc.s2 0x7F,0x42 + // Possible overflow path, must detect by + // Setting widest range exponent with prevailing + // rounding mode. + nop.i 0 ;; +} + + +{ .mfi + // bias+0x4000 (bias+EMAX+1) + (p8) mov r2=0x13fff + // S=e*H1+S1 + (p8) fma.s2 f12=f13,f15,f14 + nop.i 0 ;; +} +{ .mfi +(p8) setf.exp f11 = r2 +(p8) fsetc.s2 0x7F,0x40 +// Restore Original Mode in S2 + nop.i 0 ;; +} +{ .mfi + nop.m 0 +(p8) fcmp.lt.unc.s1 p9, p10 = f12, f11 + nop.i 0 ;; +} +{ .mib + nop.m 0 + mov GR_Parameter_TAG = 45; + // No overflow +(p9) br.ret.sptk b0;; +} +GLOBAL_IEEE754_END(hypotl) + +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# |