162306a36Sopenharmony_ci// SPDX-License-Identifier: GPL-2.0-only 262306a36Sopenharmony_ci/* IEEE754 floating point arithmetic 362306a36Sopenharmony_ci * double precision: common utilities 462306a36Sopenharmony_ci */ 562306a36Sopenharmony_ci/* 662306a36Sopenharmony_ci * MIPS floating point support 762306a36Sopenharmony_ci * Copyright (C) 1994-2000 Algorithmics Ltd. 862306a36Sopenharmony_ci */ 962306a36Sopenharmony_ci 1062306a36Sopenharmony_ci#include "ieee754dp.h" 1162306a36Sopenharmony_ci 1262306a36Sopenharmony_ciunion ieee754dp ieee754dp_div(union ieee754dp x, union ieee754dp y) 1362306a36Sopenharmony_ci{ 1462306a36Sopenharmony_ci u64 rm; 1562306a36Sopenharmony_ci int re; 1662306a36Sopenharmony_ci u64 bm; 1762306a36Sopenharmony_ci 1862306a36Sopenharmony_ci COMPXDP; 1962306a36Sopenharmony_ci COMPYDP; 2062306a36Sopenharmony_ci 2162306a36Sopenharmony_ci EXPLODEXDP; 2262306a36Sopenharmony_ci EXPLODEYDP; 2362306a36Sopenharmony_ci 2462306a36Sopenharmony_ci ieee754_clearcx(); 2562306a36Sopenharmony_ci 2662306a36Sopenharmony_ci FLUSHXDP; 2762306a36Sopenharmony_ci FLUSHYDP; 2862306a36Sopenharmony_ci 2962306a36Sopenharmony_ci switch (CLPAIR(xc, yc)) { 3062306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN): 3162306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN): 3262306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN): 3362306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN): 3462306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN): 3562306a36Sopenharmony_ci return ieee754dp_nanxcpt(y); 3662306a36Sopenharmony_ci 3762306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN): 3862306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN): 3962306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO): 4062306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM): 4162306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM): 4262306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF): 4362306a36Sopenharmony_ci return ieee754dp_nanxcpt(x); 4462306a36Sopenharmony_ci 4562306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN): 4662306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN): 4762306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN): 4862306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN): 4962306a36Sopenharmony_ci return y; 5062306a36Sopenharmony_ci 5162306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN): 5262306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO): 5362306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM): 5462306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM): 5562306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF): 5662306a36Sopenharmony_ci return x; 5762306a36Sopenharmony_ci 5862306a36Sopenharmony_ci 5962306a36Sopenharmony_ci /* 6062306a36Sopenharmony_ci * Infinity handling 6162306a36Sopenharmony_ci */ 6262306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF): 6362306a36Sopenharmony_ci ieee754_setcx(IEEE754_INVALID_OPERATION); 6462306a36Sopenharmony_ci return ieee754dp_indef(); 6562306a36Sopenharmony_ci 6662306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF): 6762306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF): 6862306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF): 6962306a36Sopenharmony_ci return ieee754dp_zero(xs ^ ys); 7062306a36Sopenharmony_ci 7162306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO): 7262306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM): 7362306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM): 7462306a36Sopenharmony_ci return ieee754dp_inf(xs ^ ys); 7562306a36Sopenharmony_ci 7662306a36Sopenharmony_ci /* 7762306a36Sopenharmony_ci * Zero handling 7862306a36Sopenharmony_ci */ 7962306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO): 8062306a36Sopenharmony_ci ieee754_setcx(IEEE754_INVALID_OPERATION); 8162306a36Sopenharmony_ci return ieee754dp_indef(); 8262306a36Sopenharmony_ci 8362306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO): 8462306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO): 8562306a36Sopenharmony_ci ieee754_setcx(IEEE754_ZERO_DIVIDE); 8662306a36Sopenharmony_ci return ieee754dp_inf(xs ^ ys); 8762306a36Sopenharmony_ci 8862306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM): 8962306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM): 9062306a36Sopenharmony_ci return ieee754dp_zero(xs == ys ? 0 : 1); 9162306a36Sopenharmony_ci 9262306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): 9362306a36Sopenharmony_ci DPDNORMX; 9462306a36Sopenharmony_ci fallthrough; 9562306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM): 9662306a36Sopenharmony_ci DPDNORMY; 9762306a36Sopenharmony_ci break; 9862306a36Sopenharmony_ci 9962306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM): 10062306a36Sopenharmony_ci DPDNORMX; 10162306a36Sopenharmony_ci break; 10262306a36Sopenharmony_ci 10362306a36Sopenharmony_ci case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM): 10462306a36Sopenharmony_ci break; 10562306a36Sopenharmony_ci } 10662306a36Sopenharmony_ci assert(xm & DP_HIDDEN_BIT); 10762306a36Sopenharmony_ci assert(ym & DP_HIDDEN_BIT); 10862306a36Sopenharmony_ci 10962306a36Sopenharmony_ci /* provide rounding space */ 11062306a36Sopenharmony_ci xm <<= 3; 11162306a36Sopenharmony_ci ym <<= 3; 11262306a36Sopenharmony_ci 11362306a36Sopenharmony_ci /* now the dirty work */ 11462306a36Sopenharmony_ci 11562306a36Sopenharmony_ci rm = 0; 11662306a36Sopenharmony_ci re = xe - ye; 11762306a36Sopenharmony_ci 11862306a36Sopenharmony_ci for (bm = DP_MBIT(DP_FBITS + 2); bm; bm >>= 1) { 11962306a36Sopenharmony_ci if (xm >= ym) { 12062306a36Sopenharmony_ci xm -= ym; 12162306a36Sopenharmony_ci rm |= bm; 12262306a36Sopenharmony_ci if (xm == 0) 12362306a36Sopenharmony_ci break; 12462306a36Sopenharmony_ci } 12562306a36Sopenharmony_ci xm <<= 1; 12662306a36Sopenharmony_ci } 12762306a36Sopenharmony_ci 12862306a36Sopenharmony_ci rm <<= 1; 12962306a36Sopenharmony_ci if (xm) 13062306a36Sopenharmony_ci rm |= 1; /* have remainder, set sticky */ 13162306a36Sopenharmony_ci 13262306a36Sopenharmony_ci assert(rm); 13362306a36Sopenharmony_ci 13462306a36Sopenharmony_ci /* 13562306a36Sopenharmony_ci * Normalise rm to rounding precision ? 13662306a36Sopenharmony_ci */ 13762306a36Sopenharmony_ci while ((rm >> (DP_FBITS + 3)) == 0) { 13862306a36Sopenharmony_ci rm <<= 1; 13962306a36Sopenharmony_ci re--; 14062306a36Sopenharmony_ci } 14162306a36Sopenharmony_ci 14262306a36Sopenharmony_ci return ieee754dp_format(xs == ys ? 0 : 1, re, rm); 14362306a36Sopenharmony_ci} 144