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261 lines
7.1 KiB
ArmAsm
261 lines
7.1 KiB
ArmAsm
.file "sqrtf.s"
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// Copyright (c) 2000 - 2003, Intel Corporation
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// All rights reserved.
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//
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// Contributed 2000 by the Intel Numerics Group, Intel Corporation
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//
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions are
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// met:
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//
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// * Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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//
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// * Redistributions in binary form must reproduce the above copyright
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// notice, this list of conditions and the following disclaimer in the
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// documentation and/or other materials provided with the distribution.
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//
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// * The name of Intel Corporation may not be used to endorse or promote
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// products derived from this software without specific prior written
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// permission.
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
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// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
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// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
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// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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// Intel Corporation is the author of this code, and requests that all
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// problem reports or change requests be submitted to it directly at
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// http://www.intel.com/software/products/opensource/libraries/num.htm.
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//
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//*********************************************************************
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// History:
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//
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// 02/02/00 Initial version
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// 04/04/00 Unwind support added
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// 08/15/00 Bundle added after call to __libm_error_support to properly
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// set [the previously overwritten] GR_Parameter_RESULT.
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// 05/20/02 Cleaned up namespace and sf0 syntax
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// 02/10/03 Reordered header: .section, .global, .proc, .align
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//
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//*********************************************************************
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//
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// Function: Combined sqrtf(x), where
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// _
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// sqrtf(x) = |x, for single precision x values
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//
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//********************************************************************
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//
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// Accuracy: Correctly Rounded
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//
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//********************************************************************
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//
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// Resources Used:
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//
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// Floating-Point Registers: f8 (Input and Return Value)
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// f7 -f14
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//
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// General Purpose Registers:
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// r32-r36 (Locals)
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// r37-r40 (Used to pass arguments to error handling routine)
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//
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// Predicate Registers: p6, p7, p8
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//
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//********************************************************************
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//
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// IEEE Special Conditions:
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//
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// All faults and exceptions should be raised correctly.
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// sqrtf(QNaN) = QNaN
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// sqrtf(SNaN) = QNaN
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// sqrtf(+/-0) = +/-0
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// sqrtf(negative) = QNaN and error handling is called
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//
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//********************************************************************
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//
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// Implementation:
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//
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// Modified Newton-Raphson Algorithm
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//
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//********************************************************************
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GR_SAVE_B0 = r34
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GR_SAVE_PFS = r33
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GR_SAVE_GP = r35
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GR_Parameter_X = r37
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GR_Parameter_Y = r38
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GR_Parameter_RESULT = r39
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GR_Parameter_TAG = r40
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FR_X = f13
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FR_Y = f0
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FR_RESULT = f8
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.section .text
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GLOBAL_IEEE754_ENTRY(sqrtf)
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{ .mlx
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// BEGIN SINGLE PRECISION MINIMUM LATENCY SQUARE ROOT ALGORITHM
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alloc r32= ar.pfs,0,5,4,0
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// exponent of +1/2 in r2
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movl r2 = 0x0fffe
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} { .mfi
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// +1/2 in f12
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nop.m 0
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frsqrta.s0 f7,p6=f8
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nop.i 0;;
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} { .mfi
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setf.exp f12 = r2
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// Step (1)
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// y0 = 1/sqrt(a) in f7
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fclass.m.unc p7,p8 = f8,0x3A
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nop.i 0
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} { .mfi
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nop.m 0
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// Make a copy of x just in case
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mov f13 = f8
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nop.i 0;;
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} { .mfi
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nop.m 0
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// Step (2)
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// H0 = 1/2 * y0 in f9
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(p6) fma.s1 f9=f12,f7,f0
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nop.i 0
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} { .mfi
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nop.m 0
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// Step (3)
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// S0 = a * y0 in f7
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(p6) fma.s1 f7=f8,f7,f0
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nop.i 0;;
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} { .mfi
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nop.m 0
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// Step (4)
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// d = 1/2 - S0 * H0 in f10
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(p6) fnma.s1 f10=f7,f9,f12
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nop.i 0
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} { .mfi
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nop.m 0
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// Step (0'')
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// 3/2 = 1 + 1/2 in f12
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(p6) fma.s1 f12=f12,f1,f1
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nop.i 0;;
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} { .mfi
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nop.m 0
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// Step (5)
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// e = 1 + 3/2 * d in f12
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(p6) fma.s1 f12=f12,f10,f1
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nop.i 0
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} { .mfi
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nop.m 0
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// Step (6)
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// T0 = d * S0 in f11
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(p6) fma.s1 f11=f10,f7,f0
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nop.i 0;;
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} { .mfi
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nop.m 0
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// Step (7)
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// G0 = d * H0 in f10
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(p6) fma.s1 f10=f10,f9,f0
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nop.i 0;;
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} { .mfi
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nop.m 0
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// Step (8)
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// S1 = S0 + e * T0 in f7
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(p6) fma.s.s1 f7=f12,f11,f7
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nop.i 0;;
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} { .mfi
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nop.m 0
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// Step (9)
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// H1 = H0 + e * G0 in f12
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(p6) fma.s1 f12=f12,f10,f9
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nop.i 0;;
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} { .mfi
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nop.m 0
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// Step (10)
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// d1 = a - S1 * S1 in f9
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(p6) fnma.s1 f9=f7,f7,f8
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nop.i 0;;
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} { .mfb
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nop.m 0
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// Step (11)
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// S = S1 + d1 * H1 in f7
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(p6) fma.s.s0 f8=f9,f12,f7
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(p6) br.ret.sptk b0 ;;
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// END SINGLE PRECISION MINIMUM LATENCY SQUARE ROOT ALGORITHM
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} { .mfb
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nop.m 0
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mov f8 = f7
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(p8) br.ret.sptk b0 ;;
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}
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//
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// This branch includes all those special values that are not negative,
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// with the result equal to frcpa(x)
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//
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GLOBAL_IEEE754_END(sqrtf)
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LOCAL_LIBM_ENTRY(__libm_error_region)
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.prologue
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{ .mii
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add GR_Parameter_Y=-32,sp // Parameter 2 value
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mov GR_Parameter_TAG = 50
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.save ar.pfs,GR_SAVE_PFS
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mov GR_SAVE_PFS=ar.pfs // Save ar.pfs
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}
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{ .mfi
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.fframe 64
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add sp=-64,sp // Create new stack
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nop.f 0
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mov GR_SAVE_GP=gp // Save gp
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};;
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{ .mmi
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stfs [GR_Parameter_Y] = FR_Y,16 // Store Parameter 2 on stack
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add GR_Parameter_X = 16,sp // Parameter 1 address
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.save b0, GR_SAVE_B0
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mov GR_SAVE_B0=b0 // Save b0
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};;
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.body
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{ .mib
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stfs [GR_Parameter_X] = FR_X // Store Parameter 1 on stack
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add GR_Parameter_RESULT = 0,GR_Parameter_Y
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nop.b 0 // Parameter 3 address
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}
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{ .mib
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stfs [GR_Parameter_Y] = FR_RESULT // Store Parameter 3 on stack
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add GR_Parameter_Y = -16,GR_Parameter_Y
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br.call.sptk b0=__libm_error_support# // Call error handling function
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};;
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{ .mmi
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nop.m 0
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nop.m 0
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add GR_Parameter_RESULT = 48,sp
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};;
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{ .mmi
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ldfs f8 = [GR_Parameter_RESULT] // Get return result off stack
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.restore sp
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add sp = 64,sp // Restore stack pointer
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mov b0 = GR_SAVE_B0 // Restore return address
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};;
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{ .mib
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mov gp = GR_SAVE_GP // Restore gp
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mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs
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br.ret.sptk b0 // Return
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};;
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LOCAL_LIBM_END(__libm_error_region)
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.type __libm_error_support#,@function
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.global __libm_error_support#
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