/*============================================================================ This C source file is part of the SoftPosit Posit Arithmetic Package by S. H. Leong (Cerlane). Copyright 2017, 2018 A*STAR. All rights reserved. This C source file was based on SoftFloat IEEE Floating-Point Arithmetic Package, Release 3d, by John R. Hauser. Copyright 2011, 2012, 2013, 2014, 2015, 2016, 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 #include "platform.h" #include "internals.h" posit_2_t pX2_div( posit_2_t pA, posit_2_t pB, int x ) { union ui32_pX2 uA, uB, uZ; int regA, regB; uint_fast32_t uiA, uiB, fracA, fracB, regime, tmp; bool signA, signB, signZ, regSA, regSB, bitNPlusOne=0, bitsMore=0, rcarry; int_fast8_t kA=0; int_fast32_t expA; uint_fast64_t frac64A, frac64Z, rem; lldiv_t divresult; if (x<2 || x>32){ uZ.ui = 0x80000000; return uZ.p; } uA.p = pA; uiA = uA.ui; uB.p = pB; uiB = uB.ui; //Zero or infinity if ( uiA==0x80000000 || uiB==0x80000000 || uiB==0){ #ifdef SOFTPOSIT_EXACT uZ.ui.v = 0x80000000; uZ.ui.exact = 0; #else uZ.ui = 0x80000000; #endif return uZ.p; } else if (uiA==0){ #ifdef SOFTPOSIT_EXACT uZ.ui.v = 0; if ( (uiA==0 && uiA.ui.exact) || (uiB==0 && uiB.ui.exact) ) uZ.ui.exact = 1; else uZ.ui.exact = 0; #else uZ.ui = 0; #endif return uZ.p; } signA = signP32UI( uiA ); signB = signP32UI( uiB ); signZ = signA ^ signB; if(signA) uiA = (-uiA & 0xFFFFFFFF); if(signB) uiB = (-uiB & 0xFFFFFFFF); regSA = signregP32UI(uiA); regSB = signregP32UI(uiB); if (x==2){ uZ.ui = 0x40000000; } else{ tmp = (uiA<<2)&0xFFFFFFFF; if (regSA){ while (tmp>>31){ kA++; tmp= (tmp<<1) & 0xFFFFFFFF; } } else{ kA=-1; while (!(tmp>>31)){ kA--; tmp= (tmp<<1) & 0xFFFFFFFF; } tmp&=0x7FFFFFFF; } expA = tmp>>29; //to get 2 bits fracA = ((tmp<<1) | 0x40000000) & 0x7FFFFFFF; frac64A = (uint64_t) fracA << 30; tmp = (uiB<<2)&0xFFFFFFFF; if (regSB){ while (tmp>>31){ kA--; tmp= (tmp<<1) & 0xFFFFFFFF; } } else{ kA++; while (!(tmp>>31)){ kA++; tmp= (tmp<<1) & 0xFFFFFFFF; } tmp&=0x7FFFFFFF; } expA -= tmp>>29; fracB = ((tmp<<1) | 0x40000000) & 0x7FFFFFFF; divresult = lldiv (frac64A,(uint_fast64_t)fracB); frac64Z = divresult.quot; rem = divresult.rem; if (expA<0){ expA+=4; kA--; } if (frac64Z!=0){ rcarry = frac64Z >> 30; // this is the hidden bit (14th bit) , extreme right bit is bit 0 if (!rcarry){ if (expA==0){ kA--; expA=3; } else expA--; frac64Z<<=1; } } } if(kA<0){ regA = -kA; regSA = 0; regime = 0x40000000>>regA; } else{ regA = kA+1; regSA=1; regime = 0x7FFFFFFF - (0x7FFFFFFF>>regA); } if(regA>(x-2)){ //max or min pos. exp and frac does not matter. uZ.ui=(regSA) ? (0x7FFFFFFF & ((int32_t)0x80000000>>(x-1)) ): (0x1 << (32-x)); } else{ //remove carry and rcarry bits and shift to correct position frac64Z &= 0x3FFFFFFF; fracA = (uint_fast32_t)frac64Z >> (regA+2); //regime length is smaller than length of posit if (regA>(x-regA-2))& frac64Z; bitsMore = ((0x7FFFFFFF>>(x-regA-2)) & frac64Z); fracA&=((int32_t)0x80000000>>(x-1)); } else { if (regA==(x-2)){ bitNPlusOne = expA&0x2; bitsMore = (expA&0x1); expA = 0; } else if (regA==(x-3)){ bitNPlusOne = expA&0x1; expA &=0x2; } if (frac64Z>0){ fracA=0; bitsMore =1; } } if (rem) bitsMore =1; } else{ regime=(regSA) ? (regime & ((int32_t)0x80000000>>(x-1)) ): (regime << (32-x)); expA=0; fracA=0; } expA <<= (28-regA); uZ.ui = packToP32UI(regime, expA, fracA); if (bitNPlusOne) uZ.ui += (uint32_t)(((uZ.ui>>(32-x))&1) | bitsMore) << (32-x) ; } if (signZ) uZ.ui = -uZ.ui & 0xFFFFFFFF; return uZ.p; }