| Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 1 | /* IEEE754 floating point arithmetic | 
|  | 2 | * single precision | 
|  | 3 | */ | 
|  | 4 | /* | 
|  | 5 | * MIPS floating point support | 
|  | 6 | * Copyright (C) 1994-2000 Algorithmics Ltd. | 
|  | 7 | * http://www.algor.co.uk | 
|  | 8 | * | 
|  | 9 | * ######################################################################## | 
|  | 10 | * | 
|  | 11 | *  This program is free software; you can distribute it and/or modify it | 
|  | 12 | *  under the terms of the GNU General Public License (Version 2) as | 
|  | 13 | *  published by the Free Software Foundation. | 
|  | 14 | * | 
|  | 15 | *  This program is distributed in the hope it will be useful, but WITHOUT | 
|  | 16 | *  ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | 
|  | 17 | *  FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License | 
|  | 18 | *  for more details. | 
|  | 19 | * | 
|  | 20 | *  You should have received a copy of the GNU General Public License along | 
|  | 21 | *  with this program; if not, write to the Free Software Foundation, Inc., | 
|  | 22 | *  59 Temple Place - Suite 330, Boston MA 02111-1307, USA. | 
|  | 23 | * | 
|  | 24 | * ######################################################################## | 
|  | 25 | */ | 
|  | 26 |  | 
|  | 27 |  | 
|  | 28 | #include "ieee754sp.h" | 
|  | 29 |  | 
|  | 30 | ieee754sp ieee754sp_sub(ieee754sp x, ieee754sp y) | 
|  | 31 | { | 
|  | 32 | COMPXSP; | 
|  | 33 | COMPYSP; | 
|  | 34 |  | 
|  | 35 | EXPLODEXSP; | 
|  | 36 | EXPLODEYSP; | 
|  | 37 |  | 
|  | 38 | CLEARCX; | 
|  | 39 |  | 
|  | 40 | FLUSHXSP; | 
|  | 41 | FLUSHYSP; | 
|  | 42 |  | 
|  | 43 | switch (CLPAIR(xc, yc)) { | 
|  | 44 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN): | 
|  | 45 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN): | 
|  | 46 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN): | 
|  | 47 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN): | 
|  | 48 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN): | 
|  | 49 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN): | 
|  | 50 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN): | 
|  | 51 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO): | 
|  | 52 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM): | 
|  | 53 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM): | 
|  | 54 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF): | 
|  | 55 | SETCX(IEEE754_INVALID_OPERATION); | 
|  | 56 | return ieee754sp_nanxcpt(ieee754sp_indef(), "sub", x, y); | 
|  | 57 |  | 
|  | 58 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN): | 
|  | 59 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN): | 
|  | 60 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN): | 
|  | 61 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN): | 
|  | 62 | return y; | 
|  | 63 |  | 
|  | 64 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN): | 
|  | 65 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO): | 
|  | 66 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM): | 
|  | 67 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM): | 
|  | 68 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF): | 
|  | 69 | return x; | 
|  | 70 |  | 
|  | 71 |  | 
|  | 72 | /* Infinity handling | 
|  | 73 | */ | 
|  | 74 |  | 
|  | 75 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF): | 
|  | 76 | if (xs != ys) | 
|  | 77 | return x; | 
|  | 78 | SETCX(IEEE754_INVALID_OPERATION); | 
|  | 79 | return ieee754sp_xcpt(ieee754sp_indef(), "sub", x, y); | 
|  | 80 |  | 
|  | 81 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF): | 
|  | 82 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF): | 
|  | 83 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF): | 
|  | 84 | return ieee754sp_inf(ys ^ 1); | 
|  | 85 |  | 
|  | 86 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO): | 
|  | 87 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM): | 
|  | 88 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM): | 
|  | 89 | return x; | 
|  | 90 |  | 
|  | 91 | /* Zero handling | 
|  | 92 | */ | 
|  | 93 |  | 
|  | 94 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO): | 
|  | 95 | if (xs != ys) | 
|  | 96 | return x; | 
|  | 97 | else | 
|  | 98 | return ieee754sp_zero(ieee754_csr.rm == | 
|  | 99 | IEEE754_RD); | 
|  | 100 |  | 
|  | 101 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO): | 
|  | 102 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO): | 
|  | 103 | return x; | 
|  | 104 |  | 
|  | 105 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM): | 
|  | 106 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM): | 
|  | 107 | /* quick fix up */ | 
|  | 108 | DPSIGN(y) ^= 1; | 
|  | 109 | return y; | 
|  | 110 |  | 
|  | 111 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): | 
|  | 112 | SPDNORMX; | 
|  | 113 |  | 
|  | 114 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM): | 
|  | 115 | SPDNORMY; | 
|  | 116 | break; | 
|  | 117 |  | 
|  | 118 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM): | 
|  | 119 | SPDNORMX; | 
|  | 120 | break; | 
|  | 121 |  | 
|  | 122 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM): | 
|  | 123 | break; | 
|  | 124 | } | 
|  | 125 | /* flip sign of y and handle as add */ | 
|  | 126 | ys ^= 1; | 
|  | 127 |  | 
|  | 128 | assert(xm & SP_HIDDEN_BIT); | 
|  | 129 | assert(ym & SP_HIDDEN_BIT); | 
|  | 130 |  | 
|  | 131 |  | 
|  | 132 | /* provide guard,round and stick bit space */ | 
|  | 133 | xm <<= 3; | 
|  | 134 | ym <<= 3; | 
|  | 135 |  | 
|  | 136 | if (xe > ye) { | 
|  | 137 | /* have to shift y fraction right to align | 
|  | 138 | */ | 
|  | 139 | int s = xe - ye; | 
|  | 140 | SPXSRSYn(s); | 
|  | 141 | } else if (ye > xe) { | 
|  | 142 | /* have to shift x fraction right to align | 
|  | 143 | */ | 
|  | 144 | int s = ye - xe; | 
|  | 145 | SPXSRSXn(s); | 
|  | 146 | } | 
|  | 147 | assert(xe == ye); | 
|  | 148 | assert(xe <= SP_EMAX); | 
|  | 149 |  | 
|  | 150 | if (xs == ys) { | 
|  | 151 | /* generate 28 bit result of adding two 27 bit numbers | 
|  | 152 | */ | 
|  | 153 | xm = xm + ym; | 
|  | 154 | xe = xe; | 
|  | 155 | xs = xs; | 
|  | 156 |  | 
|  | 157 | if (xm >> (SP_MBITS + 1 + 3)) {	/* carry out */ | 
|  | 158 | SPXSRSX1();	/* shift preserving sticky */ | 
|  | 159 | } | 
|  | 160 | } else { | 
|  | 161 | if (xm >= ym) { | 
|  | 162 | xm = xm - ym; | 
|  | 163 | xe = xe; | 
|  | 164 | xs = xs; | 
|  | 165 | } else { | 
|  | 166 | xm = ym - xm; | 
|  | 167 | xe = xe; | 
|  | 168 | xs = ys; | 
|  | 169 | } | 
|  | 170 | if (xm == 0) { | 
|  | 171 | if (ieee754_csr.rm == IEEE754_RD) | 
|  | 172 | return ieee754sp_zero(1);	/* round negative inf. => sign = -1 */ | 
|  | 173 | else | 
|  | 174 | return ieee754sp_zero(0);	/* other round modes   => sign = 1 */ | 
|  | 175 | } | 
|  | 176 | /* normalize to rounding precision | 
|  | 177 | */ | 
|  | 178 | while ((xm >> (SP_MBITS + 3)) == 0) { | 
|  | 179 | xm <<= 1; | 
|  | 180 | xe--; | 
|  | 181 | } | 
|  | 182 | } | 
|  | 183 | SPNORMRET2(xs, xe, xm, "sub", x, y); | 
|  | 184 | } |