| .file "hypotf.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 |
| // 06/26/00 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 |
| // 04/17/03 Added missing mutex directive |
| // |
| //********************************************************************* |
| // ___________ |
| // Function: hypotf(x,y) = |(x^2 + y^2) = for single precision values |
| // x and y |
| // Also provides cabsf functionality. |
| // |
| //********************************************************************* |
| // |
| // Resources Used: |
| // |
| // Floating-Point Registers: f8 (Input and Return Value) |
| // f9 (Input) |
| // f6 -f15 |
| // |
| // 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. |
| // hypotf(Infinity and anything) = +Infinity |
| // hypotf(QNaN and anything) = QNaN |
| // hypotf(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 single precision |
| // |
| //********************************************************************* |
| |
| 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 = f14 |
| FR_Y = f15 |
| FR_RESULT = f8 |
| |
| .section .text |
| |
| LOCAL_LIBM_ENTRY(cabsf) |
| LOCAL_LIBM_END(cabsf) |
| |
| GLOBAL_IEEE754_ENTRY(hypotf) |
| {.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 f14 |
| // set Denormal, if necessary |
| // (p8) |
| fma.s.s0 f14=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 0 |
| // For x=inf, multiply y by 1 to raise invalid on y an SNaN |
| // (p7) fma.s0 f9=f9,f1,f0 |
| // copy f9 to f15; set Denormal, if necessary |
| fma.s.s0 f15=f9,f1,f0 |
| nop.i 0;; |
| } |
| {.mfi |
| nop.m 0 |
| // is y Zero ? |
| (p6) fclass.m p6,p0=f9,0x7 |
| nop.i 0;; |
| } |
| {.mfi |
| nop.m 0 |
| // is x Zero ? |
| (p9) fclass.m p9,p0=f8,0x7 |
| nop.i 0;; |
| } |
| |
| {.mfi |
| // f7=0.5 |
| setf.exp f7=r2 |
| // a=x2+y2 |
| fma.s1 f12=f10,f1,f11 |
| nop.i 0;; |
| } |
| |
| {.mfi |
| nop.m 0 |
| // x not NaN ? |
| (p6) fclass.m p7,p0=f8,0x3f |
| nop.i 0 |
| } |
| {.mfi |
| // 2*emax-2 |
| mov r2=0x100fb |
| // f6=2 |
| fma.s1 f6=f1,f1,f1 |
| nop.i 0;; |
| } |
| |
| {.mfi |
| nop.m 0 |
| // y not NaN ? |
| (p9) fclass.m p8,p0=f9,0x3f |
| nop.i 0;; |
| } |
| |
| .pred.rel "mutex",p7,p8 |
| {.mfb |
| nop.m 0 |
| // if f8=Infinity or f9=Zero, return |f8| |
| (p7) fmerge.s f8=f0,f14 |
| (p7) br.ret.spnt b0 |
| } |
| {.mfb |
| nop.m 0 |
| // if f9=Infinity or f8=Zero, return |f9| |
| (p8) fmerge.s f8=f0,f15 |
| (p8) br.ret.spnt b0;; |
| } |
| |
| { .mfi |
| nop.m 0 |
| // Identify Natvals, Infs, NaNs, and Zeros |
| // and return result |
| fclass.m.unc p7, p0 = f12, 0x1E7 |
| nop.i 0 |
| } |
| {.mfi |
| nop.m 0 |
| // z0=frsqrta(a) |
| frsqrta.s1 f8,p6=f12 |
| nop.i 0;; |
| } |
| |
| {.mfb |
| // get exponent of x^2+y^2 |
| getf.exp r3=f12 |
| // if special case, set f8 |
| (p7) mov f8=f12 |
| (p7) br.ret.spnt b0;; |
| } |
| |
| |
| {.mfi |
| nop.m 0 |
| // S0=a*z0 |
| (p6) fma.s1 f12=f12,f8,f0 |
| nop.i 0 |
| } |
| {.mfi |
| nop.m 0 |
| // H0=0.5*z0 |
| (p6) fma.s1 f10=f8,f7,f0 |
| 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=f12,f10,f7 |
| nop.i 0;; |
| } |
| |
| {.mfi |
| nop.m 0 |
| // P01=d+1 |
| (p6) fma.s1 f10=f1,f7,f1 |
| nop.i 0 |
| } |
| {.mfi |
| nop.m 0 |
| // P23=5/2*d+3/2 |
| (p6) fma.s1 f11=f6,f7,f11 |
| nop.i 0;; |
| } |
| {.mfi |
| nop.m 0 |
| // d2=d*d |
| (p6) fma.s1 f7=f7,f7,f0 |
| nop.i 0;; |
| } |
| |
| |
| {.mfi |
| // Is x^2 + y^2 well less than the overflow |
| // threshold? |
| (p6) cmp.lt.unc p7, p8 = r3,r2 |
| // P=P01+d2*P23 |
| (p6) fma.s1 f10=f7,f11,f10 |
| nop.i 0;; |
| } |
| |
| {.mfb |
| nop.m 0 |
| // S=P*S0 |
| fma.s.s0 f8=f10,f12,f0 |
| // 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+0x400 (bias+EMAX+1) |
| (p8) mov r2=0x1007f |
| // S=P*S0 |
| (p8) fma.s.s2 f12=f10,f12,f0 |
| 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 = 47 |
| // No overflow |
| (p9) br.ret.sptk b0;; |
| } |
| GLOBAL_IEEE754_END(hypotf) |
| |
| LOCAL_LIBM_ENTRY(__libm_error_region) |
| .prologue |
| { .mii |
| add GR_Parameter_Y=-32,sp // Parameter 2 value |
| mov GR_Parameter_TAG = 47 |
| .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 |
| stfs [GR_Parameter_Y] = FR_Y,16 // Store 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 |
| stfs [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 |
| stfs [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 |
| ldfs 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# |
| |
