diff options
Diffstat (limited to 'tests/fp/berkeley-softfloat-3/source/extF80_sqrt.c')
-rw-r--r-- | tests/fp/berkeley-softfloat-3/source/extF80_sqrt.c | 176 |
1 files changed, 176 insertions, 0 deletions
diff --git a/tests/fp/berkeley-softfloat-3/source/extF80_sqrt.c b/tests/fp/berkeley-softfloat-3/source/extF80_sqrt.c new file mode 100644 index 000000000..5d328a0e4 --- /dev/null +++ b/tests/fp/berkeley-softfloat-3/source/extF80_sqrt.c @@ -0,0 +1,176 @@ + +/*============================================================================ + +This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic +Package, Release 3e, by John R. Hauser. + +Copyright 2011, 2012, 2013, 2014, 2015, 2016, 2017 The Regents of the +University of California. All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: + + 1. Redistributions of source code must retain the above copyright notice, + this list of conditions, and the following disclaimer. + + 2. 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. + + 3. Neither the name of the University nor the names of its contributors may + be used to endorse or promote products derived from this software without + specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE REGENTS 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 THE REGENTS OR 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. + +=============================================================================*/ + +#include <stdbool.h> +#include <stdint.h> +#include "platform.h" +#include "internals.h" +#include "specialize.h" +#include "softfloat.h" + +extFloat80_t extF80_sqrt( extFloat80_t a ) +{ + union { struct extFloat80M s; extFloat80_t f; } uA; + uint_fast16_t uiA64; + uint_fast64_t uiA0; + bool signA; + int_fast32_t expA; + uint_fast64_t sigA; + struct uint128 uiZ; + uint_fast16_t uiZ64; + uint_fast64_t uiZ0; + struct exp32_sig64 normExpSig; + int_fast32_t expZ; + uint_fast32_t sig32A, recipSqrt32, sig32Z; + struct uint128 rem; + uint_fast64_t q, x64, sigZ; + struct uint128 y, term; + uint_fast64_t sigZExtra; + union { struct extFloat80M s; extFloat80_t f; } uZ; + + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + uA.f = a; + uiA64 = uA.s.signExp; + uiA0 = uA.s.signif; + signA = signExtF80UI64( uiA64 ); + expA = expExtF80UI64( uiA64 ); + sigA = uiA0; + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + if ( expA == 0x7FFF ) { + if ( sigA & UINT64_C( 0x7FFFFFFFFFFFFFFF ) ) { + uiZ = softfloat_propagateNaNExtF80UI( uiA64, uiA0, 0, 0 ); + uiZ64 = uiZ.v64; + uiZ0 = uiZ.v0; + goto uiZ; + } + if ( ! signA ) return a; + goto invalid; + } + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + if ( signA ) { + if ( ! sigA ) goto zero; + goto invalid; + } + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + if ( ! expA ) expA = 1; + if ( ! (sigA & UINT64_C( 0x8000000000000000 )) ) { + if ( ! sigA ) goto zero; + normExpSig = softfloat_normSubnormalExtF80Sig( 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 - 0x3FFF)>>1) + 0x3FFF; + expA &= 1; + sig32A = sigA>>32; + recipSqrt32 = softfloat_approxRecipSqrt32_1( expA, sig32A ); + sig32Z = ((uint_fast64_t) sig32A * recipSqrt32)>>32; + if ( expA ) { + sig32Z >>= 1; + rem = softfloat_shortShiftLeft128( 0, sigA, 61 ); + } else { + rem = softfloat_shortShiftLeft128( 0, sigA, 62 ); + } + rem.v64 -= (uint_fast64_t) sig32Z * sig32Z; + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + q = ((uint32_t) (rem.v64>>2) * (uint_fast64_t) recipSqrt32)>>32; + x64 = (uint_fast64_t) sig32Z<<32; + sigZ = x64 + (q<<3); + y = softfloat_shortShiftLeft128( rem.v64, rem.v0, 29 ); + /*------------------------------------------------------------------------ + | (Repeating this loop is a rare occurrence.) + *------------------------------------------------------------------------*/ + for (;;) { + term = softfloat_mul64ByShifted32To128( x64 + sigZ, q ); + rem = softfloat_sub128( y.v64, y.v0, term.v64, term.v0 ); + if ( ! (rem.v64 & UINT64_C( 0x8000000000000000 )) ) break; + --q; + sigZ -= 1<<3; + } + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + q = (((rem.v64>>2) * recipSqrt32)>>32) + 2; + x64 = sigZ; + sigZ = (sigZ<<1) + (q>>25); + sigZExtra = (uint64_t) (q<<39); + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + if ( (q & 0xFFFFFF) <= 2 ) { + q &= ~(uint_fast64_t) 0xFFFF; + sigZExtra = (uint64_t) (q<<39); + term = softfloat_mul64ByShifted32To128( x64 + (q>>27), q ); + x64 = (uint32_t) (q<<5) * (uint_fast64_t) (uint32_t) q; + term = softfloat_add128( term.v64, term.v0, 0, x64 ); + rem = softfloat_shortShiftLeft128( rem.v64, rem.v0, 28 ); + rem = softfloat_sub128( rem.v64, rem.v0, term.v64, term.v0 ); + if ( rem.v64 & UINT64_C( 0x8000000000000000 ) ) { + if ( ! sigZExtra ) --sigZ; + --sigZExtra; + } else { + if ( rem.v64 | rem.v0 ) sigZExtra |= 1; + } + } + return + softfloat_roundPackToExtF80( + 0, expZ, sigZ, sigZExtra, extF80_roundingPrecision ); + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + invalid: + softfloat_raiseFlags( softfloat_flag_invalid ); + uiZ64 = defaultNaNExtF80UI64; + uiZ0 = defaultNaNExtF80UI0; + goto uiZ; + /*------------------------------------------------------------------------ + *------------------------------------------------------------------------*/ + zero: + uiZ64 = packToExtF80UI64( signA, 0 ); + uiZ0 = 0; + uiZ: + uZ.s.signExp = uiZ64; + uZ.s.signif = uiZ0; + return uZ.f; + +} + |