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authorJohn Hauser <jhauser@eecs.berkeley.edu>2014-11-28 19:49:28 -0800
committerJohn Hauser <jhauser@eecs.berkeley.edu>2014-11-28 19:49:28 -0800
commit8f59d925353145a65c09301dea6c47da1f1311b1 (patch)
treec55a81490cc411be6c812a5bfcc8fdc48296def9 /source/f128_rem.c
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First draft of RC for Release 3, to start review process.
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+
+/*============================================================================
+
+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"
+
+float128_t f128_rem( float128_t a, float128_t b )
+{
+ union ui128_f128 uA;
+ uint_fast64_t uiA64, uiA0;
+ bool signA;
+ int_fast32_t expA;
+ struct uint128 sigA;
+ union ui128_f128 uB;
+ uint_fast64_t uiB64, uiB0;
+ bool signB;
+ int_fast32_t expB;
+ struct uint128 sigB;
+ struct exp32_sig128 normExpSig;
+ struct uint128 rem;
+ int_fast32_t expDiff;
+ uint_fast32_t q, recip32;
+ uint_fast64_t q64;
+ struct uint128 term, altRem, meanRem;
+ bool signRem;
+ struct uint128 uiZ;
+ union ui128_f128 uZ;
+
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ uA.f = a;
+ uiA64 = uA.ui.v64;
+ uiA0 = uA.ui.v0;
+ signA = signF128UI64( uiA64 );
+ expA = expF128UI64( uiA64 );
+ sigA.v64 = fracF128UI64( uiA64 );
+ sigA.v0 = uiA0;
+ uB.f = b;
+ uiB64 = uB.ui.v64;
+ uiB0 = uB.ui.v0;
+ signB = signF128UI64( uiB64 );
+ expB = expF128UI64( uiB64 );
+ sigB.v64 = fracF128UI64( uiB64 );
+ sigB.v0 = uiB0;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ if ( expA == 0x7FFF ) {
+ if (
+ (sigA.v64 | sigA.v0) || ((expB == 0x7FFF) && (sigB.v64 | sigB.v0))
+ ) {
+ goto propagateNaN;
+ }
+ goto invalid;
+ }
+ if ( expB == 0x7FFF ) {
+ if ( sigB.v64 | sigB.v0 ) goto propagateNaN;
+ return a;
+ }
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ if ( ! expB ) {
+ if ( ! (sigB.v64 | sigB.v0) ) goto invalid;
+ normExpSig = softfloat_normSubnormalF128Sig( sigB.v64, sigB.v0 );
+ expB = normExpSig.exp;
+ sigB = normExpSig.sig;
+ }
+ if ( ! expA ) {
+ if ( ! (sigA.v64 | sigA.v0) ) return a;
+ normExpSig = softfloat_normSubnormalF128Sig( sigA.v64, sigA.v0 );
+ expA = normExpSig.exp;
+ sigA = normExpSig.sig;
+ }
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ sigA.v64 |= UINT64_C( 0x0001000000000000 );
+ sigB.v64 |= UINT64_C( 0x0001000000000000 );
+ rem = sigA;
+ expDiff = expA - expB;
+ if ( expDiff < 1 ) {
+ if ( expDiff < -1 ) return a;
+ if ( expDiff ) {
+ --expB;
+ sigB = softfloat_add128( sigB.v64, sigB.v0, sigB.v64, sigB.v0 );
+ q = 0;
+ } else {
+ q = softfloat_le128( sigB.v64, sigB.v0, rem.v64, rem.v0 );
+ if ( q ) {
+ rem = softfloat_sub128( rem.v64, rem.v0, sigB.v64, sigB.v0 );
+ }
+ }
+ } else {
+ recip32 = softfloat_approxRecip32_1( sigB.v64>>17 );
+ expDiff -= 30;
+ for (;;) {
+ q64 = (uint_fast64_t) (uint32_t) (rem.v64>>19) * recip32;
+ if ( expDiff < 0 ) break;
+ q = (q64 + 0x80000000)>>32;
+ rem = softfloat_shortShiftLeft128( rem.v64, rem.v0, 29 );
+ term = softfloat_mul128By32( sigB.v64, sigB.v0, q );
+ rem = softfloat_sub128( rem.v64, rem.v0, term.v64, term.v0 );
+ if ( rem.v64 & UINT64_C( 0x8000000000000000 ) ) {
+ rem = softfloat_add128( rem.v64, rem.v0, sigB.v64, sigB.v0 );
+ }
+ expDiff -= 29;
+ }
+ /*--------------------------------------------------------------------
+ | (`expDiff' cannot be less than -29 here.)
+ *--------------------------------------------------------------------*/
+ q = (uint32_t) (q64>>32)>>(~expDiff & 31);
+ rem = softfloat_shortShiftLeft128( rem.v64, rem.v0, expDiff + 30 );
+ term = softfloat_mul128By32( sigB.v64, sigB.v0, q );
+ rem = softfloat_sub128( rem.v64, rem.v0, term.v64, term.v0 );
+ if ( rem.v64 & UINT64_C( 0x8000000000000000 ) ) {
+ altRem = softfloat_add128( rem.v64, rem.v0, sigB.v64, sigB.v0 );
+ goto selectRem;
+ }
+ }
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ do {
+ altRem = rem;
+ ++q;
+ rem = softfloat_sub128( rem.v64, rem.v0, sigB.v64, sigB.v0 );
+ } while ( ! (rem.v64 & UINT64_C( 0x8000000000000000 )) );
+ selectRem:
+ meanRem = softfloat_add128( rem.v64, rem.v0, altRem.v64, altRem.v0 );
+ if (
+ (meanRem.v64 & UINT64_C( 0x8000000000000000 ))
+ || (! (meanRem.v64 | meanRem.v0) && (q & 1))
+ ) {
+ rem = altRem;
+ }
+ signRem = signA;
+ if ( rem.v64 & UINT64_C( 0x8000000000000000 ) ) {
+ signRem = ! signRem;
+ rem = softfloat_sub128( 0, 0, rem.v64, rem.v0 );
+ }
+ return softfloat_normRoundPackToF128( signRem, expB - 1, rem.v64, rem.v0 );
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ propagateNaN:
+ uiZ = softfloat_propagateNaNF128UI( uiA64, uiA0, uiB64, uiB0 );
+ goto uiZ;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ invalid:
+ softfloat_raiseFlags( softfloat_flag_invalid );
+ uiZ.v64 = defaultNaNF128UI64;
+ uiZ.v0 = defaultNaNF128UI0;
+ uiZ:
+ uZ.ui = uiZ;
+ return uZ.f;
+
+}
+