1*1bb92983SJerome Forissier // SPDX-License-Identifier: BSD-3-Clause
29403c583SJens Wiklander
39403c583SJens Wiklander /*============================================================================
49403c583SJens Wiklander
59403c583SJens Wiklander This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic
69403c583SJens Wiklander Package, Release 3a, by John R. Hauser.
79403c583SJens Wiklander
89403c583SJens Wiklander Copyright 2011, 2012, 2013, 2014 The Regents of the University of California.
99403c583SJens Wiklander All rights reserved.
109403c583SJens Wiklander
119403c583SJens Wiklander Redistribution and use in source and binary forms, with or without
129403c583SJens Wiklander modification, are permitted provided that the following conditions are met:
139403c583SJens Wiklander
149403c583SJens Wiklander 1. Redistributions of source code must retain the above copyright notice,
159403c583SJens Wiklander this list of conditions, and the following disclaimer.
169403c583SJens Wiklander
179403c583SJens Wiklander 2. Redistributions in binary form must reproduce the above copyright notice,
189403c583SJens Wiklander this list of conditions, and the following disclaimer in the documentation
199403c583SJens Wiklander and/or other materials provided with the distribution.
209403c583SJens Wiklander
219403c583SJens Wiklander 3. Neither the name of the University nor the names of its contributors may
229403c583SJens Wiklander be used to endorse or promote products derived from this software without
239403c583SJens Wiklander specific prior written permission.
249403c583SJens Wiklander
259403c583SJens Wiklander THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY
269403c583SJens Wiklander EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
279403c583SJens Wiklander WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
289403c583SJens Wiklander DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
299403c583SJens Wiklander DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
309403c583SJens Wiklander (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
319403c583SJens Wiklander LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
329403c583SJens Wiklander ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
339403c583SJens Wiklander (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
349403c583SJens Wiklander SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
359403c583SJens Wiklander
369403c583SJens Wiklander =============================================================================*/
379403c583SJens Wiklander
389403c583SJens Wiklander #include <stdbool.h>
399403c583SJens Wiklander #include <stdint.h>
409403c583SJens Wiklander #include "platform.h"
419403c583SJens Wiklander #include "internals.h"
429403c583SJens Wiklander #include "specialize.h"
439403c583SJens Wiklander #include "softfloat.h"
449403c583SJens Wiklander
f32_div(float32_t a,float32_t b)459403c583SJens Wiklander float32_t f32_div( float32_t a, float32_t b )
469403c583SJens Wiklander {
479403c583SJens Wiklander union ui32_f32 uA;
489403c583SJens Wiklander uint_fast32_t uiA;
499403c583SJens Wiklander bool signA;
509403c583SJens Wiklander int_fast16_t expA;
519403c583SJens Wiklander uint_fast32_t sigA;
529403c583SJens Wiklander union ui32_f32 uB;
539403c583SJens Wiklander uint_fast32_t uiB;
549403c583SJens Wiklander bool signB;
559403c583SJens Wiklander int_fast16_t expB;
569403c583SJens Wiklander uint_fast32_t sigB;
579403c583SJens Wiklander bool signZ;
589403c583SJens Wiklander struct exp16_sig32 normExpSig;
599403c583SJens Wiklander int_fast16_t expZ;
609403c583SJens Wiklander #ifdef SOFTFLOAT_FAST_DIV64TO32
619403c583SJens Wiklander uint_fast64_t sig64A;
629403c583SJens Wiklander uint_fast32_t sigZ;
639403c583SJens Wiklander #else
649403c583SJens Wiklander uint_fast32_t sigZ;
659403c583SJens Wiklander uint_fast64_t rem;
669403c583SJens Wiklander #endif
679403c583SJens Wiklander uint_fast32_t uiZ;
689403c583SJens Wiklander union ui32_f32 uZ;
699403c583SJens Wiklander
709403c583SJens Wiklander /*------------------------------------------------------------------------
719403c583SJens Wiklander *------------------------------------------------------------------------*/
729403c583SJens Wiklander uA.f = a;
739403c583SJens Wiklander uiA = uA.ui;
749403c583SJens Wiklander signA = signF32UI( uiA );
759403c583SJens Wiklander expA = expF32UI( uiA );
769403c583SJens Wiklander sigA = fracF32UI( uiA );
779403c583SJens Wiklander uB.f = b;
789403c583SJens Wiklander uiB = uB.ui;
799403c583SJens Wiklander signB = signF32UI( uiB );
809403c583SJens Wiklander expB = expF32UI( uiB );
819403c583SJens Wiklander sigB = fracF32UI( uiB );
829403c583SJens Wiklander signZ = signA ^ signB;
839403c583SJens Wiklander /*------------------------------------------------------------------------
849403c583SJens Wiklander *------------------------------------------------------------------------*/
859403c583SJens Wiklander if ( expA == 0xFF ) {
869403c583SJens Wiklander if ( sigA ) goto propagateNaN;
879403c583SJens Wiklander if ( expB == 0xFF ) {
889403c583SJens Wiklander if ( sigB ) goto propagateNaN;
899403c583SJens Wiklander goto invalid;
909403c583SJens Wiklander }
919403c583SJens Wiklander goto infinity;
929403c583SJens Wiklander }
939403c583SJens Wiklander if ( expB == 0xFF ) {
949403c583SJens Wiklander if ( sigB ) goto propagateNaN;
959403c583SJens Wiklander goto zero;
969403c583SJens Wiklander }
979403c583SJens Wiklander /*------------------------------------------------------------------------
989403c583SJens Wiklander *------------------------------------------------------------------------*/
999403c583SJens Wiklander if ( ! expB ) {
1009403c583SJens Wiklander if ( ! sigB ) {
1019403c583SJens Wiklander if ( ! (expA | sigA) ) goto invalid;
1029403c583SJens Wiklander softfloat_raiseFlags( softfloat_flag_infinite );
1039403c583SJens Wiklander goto infinity;
1049403c583SJens Wiklander }
1059403c583SJens Wiklander normExpSig = softfloat_normSubnormalF32Sig( sigB );
1069403c583SJens Wiklander expB = normExpSig.exp;
1079403c583SJens Wiklander sigB = normExpSig.sig;
1089403c583SJens Wiklander }
1099403c583SJens Wiklander if ( ! expA ) {
1109403c583SJens Wiklander if ( ! sigA ) goto zero;
1119403c583SJens Wiklander normExpSig = softfloat_normSubnormalF32Sig( sigA );
1129403c583SJens Wiklander expA = normExpSig.exp;
1139403c583SJens Wiklander sigA = normExpSig.sig;
1149403c583SJens Wiklander }
1159403c583SJens Wiklander /*------------------------------------------------------------------------
1169403c583SJens Wiklander *------------------------------------------------------------------------*/
1179403c583SJens Wiklander expZ = expA - expB + 0x7E;
1189403c583SJens Wiklander sigA |= 0x00800000;
1199403c583SJens Wiklander sigB |= 0x00800000;
1209403c583SJens Wiklander #ifdef SOFTFLOAT_FAST_DIV64TO32
1219403c583SJens Wiklander if ( sigA < sigB ) {
1229403c583SJens Wiklander --expZ;
1239403c583SJens Wiklander sig64A = (uint_fast64_t) sigA<<31;
1249403c583SJens Wiklander } else {
1259403c583SJens Wiklander sig64A = (uint_fast64_t) sigA<<30;
1269403c583SJens Wiklander }
1279403c583SJens Wiklander sigZ = sig64A / sigB;
1289403c583SJens Wiklander if ( ! (sigZ & 0x3F) ) sigZ |= ((uint_fast64_t) sigB * sigZ != sig64A);
1299403c583SJens Wiklander #else
1309403c583SJens Wiklander if ( sigA < sigB ) {
1319403c583SJens Wiklander --expZ;
1329403c583SJens Wiklander sigA <<= 8;
1339403c583SJens Wiklander } else {
1349403c583SJens Wiklander sigA <<= 7;
1359403c583SJens Wiklander }
1369403c583SJens Wiklander sigB <<= 8;
1379403c583SJens Wiklander sigZ = ((uint_fast64_t) sigA * softfloat_approxRecip32_1( sigB ))>>32;
1389403c583SJens Wiklander /*------------------------------------------------------------------------
1399403c583SJens Wiklander *------------------------------------------------------------------------*/
1409403c583SJens Wiklander sigZ += 2;
1419403c583SJens Wiklander if ( (sigZ & 0x3F) < 2 ) {
1429403c583SJens Wiklander sigZ &= ~3;
1439403c583SJens Wiklander #ifdef SOFTFLOAT_FAST_INT64
1449403c583SJens Wiklander rem = ((uint_fast64_t) sigA<<31) - (uint_fast64_t) sigZ * sigB;
1459403c583SJens Wiklander #else
1469403c583SJens Wiklander rem = ((uint_fast64_t) sigA<<32) - (uint_fast64_t) (sigZ<<1) * sigB;
1479403c583SJens Wiklander #endif
1489403c583SJens Wiklander if ( rem & UINT64_C( 0x8000000000000000 ) ) {
1499403c583SJens Wiklander sigZ -= 4;
1509403c583SJens Wiklander } else {
1519403c583SJens Wiklander if ( rem ) sigZ |= 1;
1529403c583SJens Wiklander }
1539403c583SJens Wiklander }
1549403c583SJens Wiklander #endif
1559403c583SJens Wiklander return softfloat_roundPackToF32( signZ, expZ, sigZ );
1569403c583SJens Wiklander /*------------------------------------------------------------------------
1579403c583SJens Wiklander *------------------------------------------------------------------------*/
1589403c583SJens Wiklander propagateNaN:
1599403c583SJens Wiklander uiZ = softfloat_propagateNaNF32UI( uiA, uiB );
1609403c583SJens Wiklander goto uiZ;
1619403c583SJens Wiklander /*------------------------------------------------------------------------
1629403c583SJens Wiklander *------------------------------------------------------------------------*/
1639403c583SJens Wiklander invalid:
1649403c583SJens Wiklander softfloat_raiseFlags( softfloat_flag_invalid );
1659403c583SJens Wiklander uiZ = defaultNaNF32UI;
1669403c583SJens Wiklander goto uiZ;
1679403c583SJens Wiklander /*------------------------------------------------------------------------
1689403c583SJens Wiklander *------------------------------------------------------------------------*/
1699403c583SJens Wiklander infinity:
1709403c583SJens Wiklander uiZ = packToF32UI( signZ, 0xFF, 0 );
1719403c583SJens Wiklander goto uiZ;
1729403c583SJens Wiklander /*------------------------------------------------------------------------
1739403c583SJens Wiklander *------------------------------------------------------------------------*/
1749403c583SJens Wiklander zero:
1759403c583SJens Wiklander uiZ = packToF32UI( signZ, 0, 0 );
1769403c583SJens Wiklander uiZ:
1779403c583SJens Wiklander uZ.ui = uiZ;
1789403c583SJens Wiklander return uZ.f;
1799403c583SJens Wiklander
1809403c583SJens Wiklander }
1819403c583SJens Wiklander
182