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authorAndrew Waterman <andrew@sifive.com>2018-07-11 01:16:28 -0700
committerAndrew Waterman <andrew@sifive.com>2018-07-11 01:16:28 -0700
commit5cd8d2b93fad2011fdf8f49a263d77697af35b32 (patch)
treef6fb9cb6d3bef2aa5c9903511b92e5a6e99e9519 /softfloat/extF80M_sqrt.c
parent8e69141749065ff957383d2112768f95a33429b6 (diff)
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Upgrade to SoftFloat 3e
Diffstat (limited to 'softfloat/extF80M_sqrt.c')
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diff --git a/softfloat/extF80M_sqrt.c b/softfloat/extF80M_sqrt.c
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+
+/*============================================================================
+
+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, 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"
+
+#ifdef SOFTFLOAT_FAST_INT64
+
+void extF80M_sqrt( const extFloat80_t *aPtr, extFloat80_t *zPtr )
+{
+
+ *zPtr = extF80_sqrt( *aPtr );
+
+}
+
+#else
+
+void extF80M_sqrt( const extFloat80_t *aPtr, extFloat80_t *zPtr )
+{
+ const struct extFloat80M *aSPtr;
+ struct extFloat80M *zSPtr;
+ uint_fast16_t uiA64, signUI64;
+ int32_t expA;
+ uint64_t rem64;
+ int32_t expZ;
+ uint32_t rem96[3], sig32A, recipSqrt32, sig32Z, q;
+ uint64_t sig64Z, x64;
+ uint32_t rem32, term[4], rem[4], extSigZ[3];
+
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ aSPtr = (const struct extFloat80M *) aPtr;
+ zSPtr = (struct extFloat80M *) zPtr;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ uiA64 = aSPtr->signExp;
+ signUI64 = uiA64 & packToExtF80UI64( 1, 0 );
+ expA = expExtF80UI64( uiA64 );
+ rem64 = aSPtr->signif;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ if ( expA == 0x7FFF ) {
+ if ( rem64 & UINT64_C( 0x7FFFFFFFFFFFFFFF ) ) {
+ softfloat_propagateNaNExtF80M( aSPtr, 0, zSPtr );
+ return;
+ }
+ if ( signUI64 ) goto invalid;
+ rem64 = UINT64_C( 0x8000000000000000 );
+ goto copyA;
+ }
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ if ( ! expA ) expA = 1;
+ if ( ! (rem64 & UINT64_C( 0x8000000000000000 )) ) {
+ if ( ! rem64 ) {
+ uiA64 = signUI64;
+ goto copyA;
+ }
+ expA += softfloat_normExtF80SigM( &rem64 );
+ }
+ if ( signUI64 ) goto invalid;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ expZ = ((expA - 0x3FFF)>>1) + 0x3FFF;
+ expA &= 1;
+ softfloat_shortShiftLeft64To96M( rem64, 30 - expA, rem96 );
+ sig32A = rem64>>32;
+ recipSqrt32 = softfloat_approxRecipSqrt32_1( expA, sig32A );
+ sig32Z = ((uint64_t) sig32A * recipSqrt32)>>32;
+ if ( expA ) sig32Z >>= 1;
+ rem64 =
+ ((uint64_t) rem96[indexWord( 3, 2 )]<<32 | rem96[indexWord( 3, 1 )])
+ - (uint64_t) sig32Z * sig32Z;
+ rem96[indexWord( 3, 2 )] = rem64>>32;
+ rem96[indexWord( 3, 1 )] = rem64;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ q = ((uint32_t) (rem64>>2) * (uint64_t) recipSqrt32)>>32;
+ sig64Z = ((uint64_t) sig32Z<<32) + ((uint64_t) q<<3);
+ term[indexWord( 3, 2 )] = 0;
+ /*------------------------------------------------------------------------
+ | (Repeating this loop is a rare occurrence.)
+ *------------------------------------------------------------------------*/
+ for (;;) {
+ x64 = ((uint64_t) sig32Z<<32) + sig64Z;
+ term[indexWord( 3, 1 )] = x64>>32;
+ term[indexWord( 3, 0 )] = x64;
+ softfloat_remStep96MBy32(
+ rem96, 29, term, q, &rem[indexMultiwordHi( 4, 3 )] );
+ rem32 = rem[indexWord( 4, 3 )];
+ if ( ! (rem32 & 0x80000000) ) break;
+ --q;
+ sig64Z -= 1<<3;
+ }
+ rem64 = (uint64_t) rem32<<32 | rem[indexWord( 4, 2 )];
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ q = (((uint32_t) (rem64>>2) * (uint64_t) recipSqrt32)>>32) + 2;
+ if ( rem64>>34 ) q += recipSqrt32;
+ x64 = (uint64_t) q<<7;
+ extSigZ[indexWord( 3, 0 )] = x64;
+ x64 = (sig64Z<<1) + (x64>>32);
+ extSigZ[indexWord( 3, 2 )] = x64>>32;
+ extSigZ[indexWord( 3, 1 )] = x64;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ if ( (q & 0xFFFFFF) <= 2 ) {
+ q &= ~(uint32_t) 0xFFFF;
+ extSigZ[indexWordLo( 3 )] = q<<7;
+ x64 = sig64Z + (q>>27);
+ term[indexWord( 4, 3 )] = 0;
+ term[indexWord( 4, 2 )] = x64>>32;
+ term[indexWord( 4, 1 )] = x64;
+ term[indexWord( 4, 0 )] = q<<5;
+ rem[indexWord( 4, 0 )] = 0;
+ softfloat_remStep128MBy32( rem, 28, term, q, rem );
+ q = rem[indexWordHi( 4 )];
+ if ( q & 0x80000000 ) {
+ softfloat_sub1X96M( extSigZ );
+ } else {
+ if ( q || rem[indexWord( 4, 1 )] || rem[indexWord( 4, 2 )] ) {
+ extSigZ[indexWordLo( 3 )] |= 1;
+ }
+ }
+ }
+ softfloat_roundPackMToExtF80M(
+ 0, expZ, extSigZ, extF80_roundingPrecision, zSPtr );
+ return;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ invalid:
+ softfloat_invalidExtF80M( zSPtr );
+ return;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ copyA:
+ zSPtr->signExp = uiA64;
+ zSPtr->signif = rem64;
+
+}
+
+#endif
+