/*============================================================================
This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic
-Package, Release 3a, by John R. Hauser.
+Package, Release 3d, by John R. Hauser.
-Copyright 2011, 2012, 2013, 2014, 2015 The Regents of the University of
+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
#ifndef softfloat_approxRecip32_1
+extern const uint16_t softfloat_approxRecip_1k0s[16];
+extern const uint16_t softfloat_approxRecip_1k1s[16];
+
uint32_t softfloat_approxRecip32_1( uint32_t a )
{
int index;
- uint16_t eps;
- static const uint16_t k0s[] = {
- 0xFFC4, 0xF0BE, 0xE363, 0xD76F, 0xCCAD, 0xC2F0, 0xBA16, 0xB201,
- 0xAA97, 0xA3C6, 0x9D7A, 0x97A6, 0x923C, 0x8D32, 0x887E, 0x8417
- };
- static const uint16_t k1s[] = {
- 0xF0F1, 0xD62C, 0xBFA1, 0xAC77, 0x9C0A, 0x8DDB, 0x8185, 0x76BA,
- 0x6D3B, 0x64D4, 0x5D5C, 0x56B1, 0x50B6, 0x4B55, 0x4679, 0x4211
- };
- uint16_t r0;
- uint32_t delta0;
+ uint16_t eps, r0;
+ uint32_t sigma0;
uint_fast32_t r;
- uint32_t sqrDelta0;
+ uint32_t sqrSigma0;
index = a>>27 & 0xF;
eps = (uint16_t) (a>>11);
- r0 = k0s[index] - ((k1s[index] * (uint_fast32_t) eps)>>20);
- delta0 = ~(uint_fast32_t) ((r0 * (uint_fast64_t) a)>>7);
- r = ((uint_fast32_t) r0<<16) + ((r0 * (uint_fast64_t) delta0)>>24);
- sqrDelta0 = ((uint_fast64_t) delta0 * delta0)>>32;
- r += ((uint32_t) r * (uint_fast64_t) sqrDelta0)>>48;
+ r0 = softfloat_approxRecip_1k0s[index]
+ - ((softfloat_approxRecip_1k1s[index] * (uint_fast32_t) eps)>>20);
+ sigma0 = ~(uint_fast32_t) ((r0 * (uint_fast64_t) a)>>7);
+ r = ((uint_fast32_t) r0<<16) + ((r0 * (uint_fast64_t) sigma0)>>24);
+ sqrSigma0 = ((uint_fast64_t) sigma0 * sigma0)>>32;
+ r += ((uint32_t) r * (uint_fast64_t) sqrSigma0)>>48;
return r;
}