diff options
Diffstat (limited to 'source/luametatex/source/libraries/softposit/source/s_mulAddPX1.c')
-rw-r--r-- | source/luametatex/source/libraries/softposit/source/s_mulAddPX1.c | 341 |
1 files changed, 341 insertions, 0 deletions
diff --git a/source/luametatex/source/libraries/softposit/source/s_mulAddPX1.c b/source/luametatex/source/libraries/softposit/source/s_mulAddPX1.c new file mode 100644 index 000000000..78482d192 --- /dev/null +++ b/source/luametatex/source/libraries/softposit/source/s_mulAddPX1.c @@ -0,0 +1,341 @@ + +/*============================================================================ + +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 "platform.h" +#include "internals.h" + +//a*b+c +posit_1_t + softposit_mulAddPX1( + uint_fast32_t uiA, uint_fast32_t uiB, uint_fast32_t uiC, uint_fast32_t op, int x ){ + + union ui32_pX1 uZ; + int regZ; + uint_fast32_t fracA, fracZ, regime, tmp; + bool signA, signB, signC, signZ, regSA, regSB, regSC, regSZ, bitNPlusOne=0, bitsMore=0, rcarry; + int_fast32_t expA, expC, expZ; + int_fast16_t kA=0, kC=0, kZ=0, shiftRight; + uint_fast64_t frac64C, frac64Z; + + if (x<2 || x>32){ + uZ.ui = 0x80000000; + return uZ.p; + } + + //NaR + if ( uiA==0x80000000 || uiB==0x80000000 || uiC==0x80000000 ){ + uZ.ui = 0x80000000; + return uZ.p; + } + else if (uiA==0 || uiB==0){ + if (op == softposit_mulAdd_subC) + uZ.ui = -uiC; + else + uZ.ui = uiC; + return uZ.p; + } + + signA = signP32UI( uiA ); + signB = signP32UI( uiB ); + signC = signP32UI( uiC );//^ (op == softposit_mulAdd_subC); + signZ = signA ^ signB;// ^ (op == softposit_mulAdd_subProd); + + if(signA) uiA = (-uiA & 0xFFFFFFFF); + if(signB) uiB = (-uiB & 0xFFFFFFFF); + if(signC) uiC = (-uiC & 0xFFFFFFFF); + + regSA = signregP32UI(uiA); + regSB = signregP32UI(uiB); + regSC = signregP32UI(uiC); + + if (x==2){ + uZ.ui = (regSA®SB) ? (0x40000000) : (0x0); + if (signZ){// i.e. negative prod + if (signC){ + uZ.ui |= uiC; + uZ.ui = -uZ.ui & 0xFFFFFFFF; + } + else{//prod is negative + if (uiC==uZ.ui) uZ.ui = 0; + else uZ.ui =(uZ.ui>0)?( 0xC0000000):(0x40000000); + } + } + else{ //prod : same sign signZ=0 + if (signC){ + if (uiC==uZ.ui) uZ.ui = 0; + else uZ.ui = (uZ.ui>0) ? (0x40000000) : (0xC0000000); + } + else{//C is positive + uZ.ui |= uiC; + } + } + return uZ.p; + } + 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>>30; //to get 2 bits + fracA = ((tmp<<1) | 0x80000000) & 0xFFFFFFFF; + + 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>>30; + frac64Z = (uint_fast64_t) fracA * (((tmp<<1) | 0x80000000) & 0xFFFFFFFF); + + if (expA>1){ + kA++; + expA^=0x2; + } + + rcarry = frac64Z>>63;//1st bit of frac64Z + if (rcarry){ + if (expA) kA ++; + expA^=1; + frac64Z>>=1; + } + + if (uiC!=0){ + tmp = (uiC<<2)&0xFFFFFFFF; + if (regSC){ + while (tmp>>31){ + kC++; + tmp= (tmp<<1) & 0xFFFFFFFF; + } + } + else{ + kC=-1; + while (!(tmp>>31)){ + kC--; + tmp= (tmp<<1) & 0xFFFFFFFF; + } + tmp&=0x7FFFFFFF; + } +//printBinary(&expC, 32); + expC = tmp>>30; //to get 1 bits + frac64C = ((tmp | 0x40000000ULL) & 0x7FFFFFFFULL)<<32; + shiftRight = ((kA-kC)<<1) + (expA-expC); +//printf("shiftRight: %d kA: %d kC: %d\n", shiftRight, kA, kC); +//printBinary(&frac64Z, 64); +//printBinary(&frac64C, 64); + if (shiftRight<0){ // |uiC| > |Prod| + if (shiftRight<=-63){ + bitsMore = 1; + frac64Z = 0; + //set bitsMore to one? + } + else if ((frac64Z<<(64+shiftRight))!=0) bitsMore = 1; +//printf("bitsMore: %d\n", bitsMore); + if (signZ==signC) + frac64Z = frac64C + (frac64Z>>-shiftRight); + else {//different signs + frac64Z = frac64C - (frac64Z>>-shiftRight) ; + signZ=signC; + if (bitsMore) frac64Z-=1; + } + kZ = kC; + expZ = expC; +//printf("kZ: %d expZ: %d\n", kZ, expZ); +//printBinary(&frac64Z, 64); + } + else if (shiftRight>0){// |uiC| < |Prod| + //if (frac32C&((1<<shiftRight)-1)) bitsMore = 1; + if(shiftRight>=63) { + bitsMore = 1; + frac64C = 0; + } + else if ((frac64C<<(64-shiftRight))!=0) bitsMore = 1; + if (signZ==signC) + frac64Z = frac64Z + (frac64C>>shiftRight); + else{ + frac64Z = frac64Z - (frac64C>>shiftRight); + if (bitsMore) frac64Z-=1; + } + kZ = kA; + expZ = expA; + + } + else{ + if(frac64C==frac64Z && signZ!=signC ){ //check if same number + uZ.ui = 0; + return uZ.p; + } + else{ + if (signZ==signC) + frac64Z += frac64C; + else{ + if (frac64Z<frac64C){ + frac64Z = frac64C - frac64Z; + signZ = signC; + } + else{ + frac64Z -= frac64C; + } + } + } + kZ = kA;// actually can be kC too, no diff + expZ = expA; //same here + } + rcarry = (uint64_t)frac64Z>>63; //first left bit + + if(rcarry){ + if (expZ) kZ ++; + expZ^=1; + if (frac64Z&0x1) bitsMore = 1; + frac64Z=(frac64Z>>1)&0x7FFFFFFFFFFFFFFF; + } + else { + //for subtract cases + if (frac64Z!=0){ + while((frac64Z>>61)==0){ + kZ--; + frac64Z<<=2; + } + } + bool ecarry = (0x4000000000000000 & frac64Z)>>62; + + if(!ecarry){ + if (expZ==0) kZ--; + expZ^=1; + frac64Z<<=1; + } + +//printf("kZ: %d expZ: %d\n", kZ, expZ); +//printf("frac64Z:\n"); +//printBinary(&frac64Z,64); + + } + + } + else{ + kZ = kA; + expZ=expA; + } + + if(kZ<0){ + regZ = -kZ; + regSZ = 0; + regime = 0x40000000>>regZ; + } + else{ + regZ = kZ+1; + regSZ=1; + regime = 0x7FFFFFFF - (0x7FFFFFFF>>regZ); + } +//printf("regZ: %d regSZ: %d kZ: %d expZ: %d\n", regZ, regSZ, kZ, expZ); +//printBinary(&frac64Z,64); + if(regZ>(x-2)){ + //max or min pos. exp and frac does not matter. + uZ.ui=(regSZ) ? (0x7FFFFFFF & ((int32_t)0x80000000>>(x-1)) ): (0x1 << (32-x)); + } + else{ + + if (regZ<x){ + //remove hidden bits + frac64Z &= 0x3FFFFFFFFFFFFFFF; + fracZ = frac64Z >> (regZ + 33);//frac32Z>>16; +//printBinary(&frac64Z,64); +//printBinary(&fracZ,32); + if (regZ!=(x-2)){ + bitNPlusOne |= (((uint64_t)0x8000000000000000>>(x-regZ-1)) & frac64Z); + bitsMore = ((0x7FFFFFFFFFFFFFFF>>(x-regZ-1)) & frac64Z); + fracZ&=((int32_t)0x80000000>>(x-1)); + } + else if (frac64Z>0){ + fracZ=0; + bitsMore=1; + } + if(regZ==(x-2) && expZ){ + bitNPlusOne=1; + expZ=0; + } + } + else{ + regime=(regSZ) ? (regime & ((int32_t)0x80000000>>(x-1)) ): (regime << (32-x)); + expZ=0; + fracZ=0; + } +//printBinary(&fracZ, 32); +//printf("expZ: %d bitNPlusOne: %d bitsMore; %d\n", expZ, bitNPlusOne, bitsMore); + expZ <<= (29-regZ); + + uZ.ui = packToP32UI(regime, expZ, fracZ); +//printBinary(&uZ.ui, 32); + if (bitNPlusOne){ + //if (((uint64_t)0xFFFFFFFFFFFFFFFF>>(x+1)) & frac64Z) bitsMore=1; + uZ.ui += (uint32_t)(((uZ.ui>>(32-x))&1) | bitsMore) << (32-x) ; + } + + } + if (signZ) uZ.ui = -uZ.ui & 0xFFFFFFFF; + return uZ.p; + } +//printf("expA: %d expC: %d expZ: %d kZ: %d\n", expA, expC, expZ, kZ); + + + +} + |