.file "sqrtl.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// 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:   Combined sqrtl(x), where//                         _//             sqrtl(x) = |x, for double-extended precision x values////********************************************************************//// Resources Used:////    Floating-Point Registers: f8  (Input and Return Value)//                              f7 -f14////    General Purpose Registers://      r32-r36 (Locals)//      r37-r40 (Used to pass arguments to error handling routine)////    Predicate Registers:      p6, p7, p8////********************************************************************//// IEEE Special Conditions:////    All faults and exceptions should be raised correctly.//    sqrtl(QNaN) = QNaN//    sqrtl(SNaN) = QNaN//    sqrtl(+/-0) = +/-0//    sqrtl(negative) = QNaN and error handling is called////********************************************************************//// Implementation:////  Modified Newton-Raphson Algorithm////********************************************************************GR_SAVE_PFS         = r33GR_SAVE_B0          = r34GR_SAVE_GP          = r35GR_Parameter_X      = r37GR_Parameter_Y      = r38GR_Parameter_RESULT = r39GR_Parameter_TAG    = r40FR_X                = f15FR_Y                = f0FR_RESULT           = f8.section .textGLOBAL_IEEE754_ENTRY(sqrtl){ .mlxalloc r32= ar.pfs,0,5,4,0  // exponent of +1/2 in r2  movl r2 = 0x0fffe;;} { .mfi  // +1/2 in f10  setf.exp f12 = r2  // Step (1)  // y0 = 1/sqrt(a) in f7  frsqrta.s0 f7,p6=f8  nop.i 0;;} { .mfi  nop.m 0  // Step (2)  // H0 = +1/2 * y0 in f9  (p6) fma.s1 f9=f12,f7,f0  nop.i 0} { .mfi  nop.m 0  // Step (3)  // S0 = a * y0 in f7  (p6) fma.s1 f7=f8,f7,f0  nop.i 0;;} { .mfi  nop.m 0  // Make copy input x   mov f13=f8   nop.i 0} { .mfi  nop.m 0  fclass.m.unc p7,p8 = f8,0x3A  nop.i 0;;} { .mfi  nop.m 0  // Step (4)  // d0 = 1/2 - S0 * H0 in f10  (p6) fnma.s1 f10=f7,f9,f12  nop.i 0;;} { .mfi  nop.m 0       mov f15=f8  nop.i 0;;} { .mfi  nop.m 0  // Step (5)  // H1 = H0 + d0 * H0 in f9  (p6) fma.s1 f9=f10,f9,f9  nop.i 0} { .mfi  nop.m 0  // Step (6)  // S1 = S0 + d0 * S0 in f7  (p6) fma.s1 f7=f10,f7,f7  nop.i 0;;} { .mfi  nop.m 0  // Step (7)  // d1 = 1/2 - S1 * H1 in f10  (p6) fnma.s1 f10=f7,f9,f12  nop.i 0;;} { .mfi  nop.m 0  // Step (8)  // H2 = H1 + d1 * H1 in f9  (p6) fma.s1 f9=f10,f9,f9  nop.i 0} { .mfi  nop.m 0  // Step (9)  // S2 = S1 + d1 * S1 in f7  (p6) fma.s1 f7=f10,f7,f7  nop.i 0;;} { .mfi  nop.m 0  // Step (10)  // d2 = 1/2 - S2 * H2 in f10  (p6) fnma.s1 f10=f7,f9,f12  nop.i 0} { .mfi  nop.m 0  // Step (11)  // e2 = a - S2 * S2 in f12  (p6) fnma.s1 f12=f7,f7,f8  nop.i 0;;} { .mfi  nop.m 0  // Step (12)  // S3 = S2 + d2 * S2 in f7  (p6) fma.s1 f7=f12,f9,f7  nop.i 0} { .mfi  nop.m 0  // Step (13)  // H3 = H2 + d2 * H2 in f9  (p6) fma.s1 f9=f10,f9,f9  nop.i 0;;} { .mfi  nop.m 0  // Step (14)  // e3 = a - S3 * S3 in f12  (p6) fnma.s1 f12=f7,f7,f8  nop.i 0;;} { .mfb  nop.m 0  // Step (15)  // S = S3 + e3 * H3 in f7  (p6) fma.s0 f8=f12,f9,f7  (p6) br.ret.sptk b0 ;;}{ .mfb       mov GR_Parameter_TAG    = 48       mov   f8 = f7  (p8) br.ret.sptk b0 ;;}//// This branch includes all those special values that are not negative,// with the result equal to frcpa(x)//// END DOUBLE EXTENDED PRECISION MINIMUM LATENCY SQUARE ROOT ALGORITHMGLOBAL_IEEE754_END(sqrtl)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#