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author | John Hauser <jhauser@eecs.berkeley.edu> | 2014-11-28 19:49:28 -0800 |
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committer | John Hauser <jhauser@eecs.berkeley.edu> | 2014-11-28 19:49:28 -0800 |
commit | 8f59d925353145a65c09301dea6c47da1f1311b1 (patch) | |
tree | c55a81490cc411be6c812a5bfcc8fdc48296def9 /source/f64_sqrt.c | |
download | berkeley-softfloat-3-8f59d925353145a65c09301dea6c47da1f1311b1.zip berkeley-softfloat-3-8f59d925353145a65c09301dea6c47da1f1311b1.tar.gz berkeley-softfloat-3-8f59d925353145a65c09301dea6c47da1f1311b1.tar.bz2 |
First draft of RC for Release 3, to start review process.
Diffstat (limited to 'source/f64_sqrt.c')
-rw-r--r-- | source/f64_sqrt.c | 130 |
1 files changed, 130 insertions, 0 deletions
diff --git a/source/f64_sqrt.c b/source/f64_sqrt.c new file mode 100644 index 0000000..b1821a2 --- /dev/null +++ b/source/f64_sqrt.c @@ -0,0 +1,130 @@ + +/*============================================================================ + +This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic +Package, Release 3, by John R. Hauser. + +Copyright 2011, 2012, 2013, 2014 The Regents of the University of California +(Regents). All Rights Reserved. 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 two paragraphs of disclaimer. +Redistributions in binary form must reproduce the above copyright notice, +this list of conditions, and the following two paragraphs of disclaimer in the +documentation and/or other materials provided with the distribution. Neither +the name of the Regents nor the names of its contributors may be used to +endorse or promote products derived from this software without specific prior +written permission. + +IN NO EVENT SHALL REGENTS BE LIABLE TO ANY PARTY FOR DIRECT, INDIRECT, +SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING LOST PROFITS, ARISING +OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN IF REGENTS HAS +BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +REGENTS SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING, BUT NOT LIMITED +TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +PURPOSE. THE SOFTWARE AND ACCOMPANYING DOCUMENTATION, IF ANY, PROVIDED +HEREUNDER IS PROVIDED "AS IS". REGENTS HAS NO OBLIGATION TO PROVIDE +MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS. + +=============================================================================*/ + +#include <stdbool.h> +#include <stdint.h> +#include "platform.h" +#include "internals.h" +#include "specialize.h" +#include "softfloat.h" + +float64_t f64_sqrt( float64_t a ) +{ + union ui64_f64 uA; + uint_fast64_t uiA; + bool signA; + int_fast16_t expA; + uint_fast64_t sigA, uiZ; + struct exp16_sig64 normExpSig; + int_fast16_t expZ; + uint32_t sig32A, recipSqrt32, sig32Z; + uint_fast64_t rem; + uint32_t q; + uint_fast64_t sigZ, shiftedSigZ; + union ui64_f64 uZ; + + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + uA.f = a; + uiA = uA.ui; + signA = signF64UI( uiA ); + expA = expF64UI( uiA ); + sigA = fracF64UI( uiA ); + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + if ( expA == 0x7FF ) { + if ( sigA ) { + uiZ = softfloat_propagateNaNF64UI( uiA, 0 ); + goto uiZ; + } + if ( ! signA ) return a; + goto invalid; + } + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + if ( signA ) { + if ( ! (expA | sigA) ) return a; + goto invalid; + } + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + if ( ! expA ) { + if ( ! sigA ) return a; + normExpSig = softfloat_normSubnormalF64Sig( sigA ); + expA = normExpSig.exp; + sigA = normExpSig.sig; + } + /*------------------------------------------------------------------------ + | (`sig32Z' is guaranteed to be a lower bound on the square root of + | `sig32A', which makes `sig32Z' also a lower bound on the square root of + | `sigA'.) + *------------------------------------------------------------------------*/ + expZ = ((expA - 0x3FF)>>1) + 0x3FE; + expA &= 1; + sigA |= UINT64_C( 0x0010000000000000 ); + sig32A = sigA>>21; + recipSqrt32 = softfloat_approxRecipSqrt32_1( expA, sig32A ); + sig32Z = ((uint_fast64_t) sig32A * recipSqrt32)>>32; + if ( expA ) { + sigA <<= 8; + sig32Z >>= 1; + } else { + sigA <<= 9; + } + rem = sigA - (uint_fast64_t) sig32Z * sig32Z; + q = ((uint32_t) (rem>>2) * (uint_fast64_t) recipSqrt32)>>32; + sigZ = ((uint_fast64_t) sig32Z<<32 | 1<<5) + ((uint_fast64_t) q<<3); + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + if ( (sigZ & 0x1FF) < 1<<5 ) { + sigZ &= ~(uint_fast64_t) 0x3F; + shiftedSigZ = sigZ>>6; + rem = (sigA<<52) - shiftedSigZ * shiftedSigZ; + if ( rem & UINT64_C( 0x8000000000000000 ) ) { + --sigZ; + } else { + if ( rem ) sigZ |= 1; + } + } + return softfloat_roundPackToF64( 0, expZ, sigZ ); + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + invalid: + softfloat_raiseFlags( softfloat_flag_invalid ); + uiZ = defaultNaNF64UI; + uiZ: + uZ.ui = uiZ; + return uZ.f; + +} + |