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authorAndrew Waterman <andrew@sifive.com>2017-09-24 20:25:34 -0700
committerAndrew Waterman <andrew@sifive.com>2017-09-24 20:25:34 -0700
commitbd85811c35ea38180d27440507fc222d585ef780 (patch)
tree214c6b615d7775f73da5ff9a94bd4a0a2772f9cf /softfloat/f16_sqrt.c
parentb86f2a51f522f020ad0d90f598f4c501f41da232 (diff)
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Update SoftFloat
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-rw-r--r--softfloat/f16_sqrt.c136
1 files changed, 136 insertions, 0 deletions
diff --git a/softfloat/f16_sqrt.c b/softfloat/f16_sqrt.c
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+
+/*============================================================================
+
+This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic
+Package, Release 3d, by John R. Hauser.
+
+Copyright 2011, 2012, 2013, 2014, 2015, 2016 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"
+
+extern const uint16_t softfloat_approxRecipSqrt_1k0s[];
+extern const uint16_t softfloat_approxRecipSqrt_1k1s[];
+
+float16_t f16_sqrt( float16_t a )
+{
+ union ui16_f16 uA;
+ uint_fast16_t uiA;
+ bool signA;
+ int_fast8_t expA;
+ uint_fast16_t sigA, uiZ;
+ struct exp8_sig16 normExpSig;
+ int_fast8_t expZ;
+ int index;
+ uint_fast16_t r0;
+ uint_fast32_t ESqrR0;
+ uint16_t sigma0;
+ uint_fast16_t recipSqrt16, sigZ, shiftedSigZ;
+ uint16_t negRem;
+ union ui16_f16 uZ;
+
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ uA.f = a;
+ uiA = uA.ui;
+ signA = signF16UI( uiA );
+ expA = expF16UI( uiA );
+ sigA = fracF16UI( uiA );
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ if ( expA == 0x1F ) {
+ if ( sigA ) {
+ uiZ = softfloat_propagateNaNF16UI( 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_normSubnormalF16Sig( sigA );
+ expA = normExpSig.exp;
+ sigA = normExpSig.sig;
+ }
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ expZ = ((expA - 0xF)>>1) + 0xE;
+ expA &= 1;
+ sigA |= 0x0400;
+ index = (sigA>>6 & 0xE) + expA;
+ r0 = softfloat_approxRecipSqrt_1k0s[index]
+ - (((uint_fast32_t) softfloat_approxRecipSqrt_1k1s[index]
+ * (sigA & 0x7F))
+ >>11);
+ ESqrR0 = ((uint_fast32_t) r0 * r0)>>1;
+ if ( expA ) ESqrR0 >>= 1;
+ sigma0 = ~(uint_fast16_t) ((ESqrR0 * sigA)>>16);
+ recipSqrt16 = r0 + (((uint_fast32_t) r0 * sigma0)>>25);
+ if ( ! (recipSqrt16 & 0x8000) ) recipSqrt16 = 0x8000;
+ sigZ = ((uint_fast32_t) (sigA<<5) * recipSqrt16)>>16;
+ if ( expA ) sigZ >>= 1;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ ++sigZ;
+ if ( ! (sigZ & 7) ) {
+ shiftedSigZ = sigZ>>1;
+ negRem = shiftedSigZ * shiftedSigZ;
+ sigZ &= ~1;
+ if ( negRem & 0x8000 ) {
+ sigZ |= 1;
+ } else {
+ if ( negRem ) --sigZ;
+ }
+ }
+ return softfloat_roundPackToF16( 0, expZ, sigZ );
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ invalid:
+ softfloat_raiseFlags( softfloat_flag_invalid );
+ uiZ = defaultNaNF16UI;
+ uiZ:
+ uZ.ui = uiZ;
+ return uZ.f;
+
+}
+