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Diffstat (limited to 'ports/sysdeps/ia64/fpu/e_sqrtl.S')
| -rw-r--r-- | ports/sysdeps/ia64/fpu/e_sqrtl.S | 275 |
1 files changed, 275 insertions, 0 deletions
diff --git a/ports/sysdeps/ia64/fpu/e_sqrtl.S b/ports/sysdeps/ia64/fpu/e_sqrtl.S new file mode 100644 index 0000000000..6aa402150f --- /dev/null +++ b/ports/sysdeps/ia64/fpu/e_sqrtl.S @@ -0,0 +1,275 @@ +.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 = r33 +GR_SAVE_B0 = r34 +GR_SAVE_GP = r35 +GR_Parameter_X = r37 +GR_Parameter_Y = r38 +GR_Parameter_RESULT = r39 +GR_Parameter_TAG = r40 + +FR_X = f15 +FR_Y = f0 +FR_RESULT = f8 + +.section .text +GLOBAL_IEEE754_ENTRY(sqrtl) +{ .mlx +alloc 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 ALGORITHM +GLOBAL_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# |