Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 1 | /* |
| 2 | * IEEE754 floating point arithmetic |
| 3 | * single precision: MAX{,A}.f |
| 4 | * MAX : Scalar Floating-Point Maximum |
| 5 | * MAXA: Scalar Floating-Point argument with Maximum Absolute Value |
| 6 | * |
| 7 | * MAX.S : FPR[fd] = maxNum(FPR[fs],FPR[ft]) |
| 8 | * MAXA.S: FPR[fd] = maxNumMag(FPR[fs],FPR[ft]) |
| 9 | * |
| 10 | * MIPS floating point support |
| 11 | * Copyright (C) 2015 Imagination Technologies, Ltd. |
| 12 | * Author: Markos Chandras <markos.chandras@imgtec.com> |
| 13 | * |
| 14 | * This program is free software; you can distribute it and/or modify it |
| 15 | * under the terms of the GNU General Public License as published by the |
| 16 | * Free Software Foundation; version 2 of the License. |
| 17 | */ |
| 18 | |
| 19 | #include "ieee754sp.h" |
| 20 | |
| 21 | union ieee754sp ieee754sp_fmax(union ieee754sp x, union ieee754sp y) |
| 22 | { |
| 23 | COMPXSP; |
| 24 | COMPYSP; |
| 25 | |
| 26 | EXPLODEXSP; |
| 27 | EXPLODEYSP; |
| 28 | |
| 29 | FLUSHXSP; |
| 30 | FLUSHYSP; |
| 31 | |
| 32 | ieee754_clearcx(); |
| 33 | |
| 34 | switch (CLPAIR(xc, yc)) { |
| 35 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN): |
| 36 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN): |
| 37 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN): |
| 38 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN): |
| 39 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN): |
| 40 | return ieee754sp_nanxcpt(y); |
| 41 | |
| 42 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN): |
| 43 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN): |
| 44 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO): |
| 45 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM): |
| 46 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM): |
| 47 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF): |
| 48 | return ieee754sp_nanxcpt(x); |
| 49 | |
Aleksandar Markovic | e78bf0d | 2017-07-27 18:08:48 +0200 | [diff] [blame] | 50 | /* |
| 51 | * Quiet NaN handling |
| 52 | */ |
| 53 | |
| 54 | /* |
| 55 | * The case of both inputs quiet NaNs |
| 56 | */ |
| 57 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN): |
| 58 | return x; |
| 59 | |
| 60 | /* |
| 61 | * The cases of exactly one input quiet NaN (numbers |
| 62 | * are here preferred as returned values to NaNs) |
| 63 | */ |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 64 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN): |
| 65 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN): |
| 66 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN): |
| 67 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN): |
| 68 | return x; |
| 69 | |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 70 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO): |
| 71 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM): |
| 72 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM): |
| 73 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF): |
| 74 | return y; |
| 75 | |
| 76 | /* |
| 77 | * Infinity and zero handling |
| 78 | */ |
| 79 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO): |
| 80 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM): |
| 81 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM): |
| 82 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO): |
| 83 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO): |
| 84 | return xs ? y : x; |
| 85 | |
| 86 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF): |
| 87 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF): |
| 88 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF): |
| 89 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF): |
| 90 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM): |
| 91 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM): |
| 92 | return ys ? x : y; |
| 93 | |
| 94 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO): |
Aleksandar Markovic | 15560a5 | 2017-07-27 18:08:49 +0200 | [diff] [blame] | 95 | return ieee754sp_zero(xs & ys); |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 96 | |
| 97 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): |
| 98 | SPDNORMX; |
Aleksandar Markovic | 2a14b21 | 2017-11-02 12:14:05 +0100 | [diff] [blame] | 99 | /* fall through */ |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 100 | |
| 101 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM): |
| 102 | SPDNORMY; |
| 103 | break; |
| 104 | |
| 105 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM): |
| 106 | SPDNORMX; |
| 107 | } |
| 108 | |
| 109 | /* Finally get to do some computation */ |
| 110 | |
| 111 | assert(xm & SP_HIDDEN_BIT); |
| 112 | assert(ym & SP_HIDDEN_BIT); |
| 113 | |
| 114 | /* Compare signs */ |
| 115 | if (xs > ys) |
| 116 | return y; |
| 117 | else if (xs < ys) |
| 118 | return x; |
| 119 | |
Aleksandar Markovic | aabf5cf | 2017-07-27 18:08:50 +0200 | [diff] [blame] | 120 | /* Signs of inputs are equal, let's compare exponents */ |
| 121 | if (xs == 0) { |
| 122 | /* Inputs are both positive */ |
| 123 | if (xe > ye) |
| 124 | return x; |
| 125 | else if (xe < ye) |
| 126 | return y; |
| 127 | } else { |
| 128 | /* Inputs are both negative */ |
| 129 | if (xe > ye) |
| 130 | return y; |
| 131 | else if (xe < ye) |
| 132 | return x; |
| 133 | } |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 134 | |
Aleksandar Markovic | aabf5cf | 2017-07-27 18:08:50 +0200 | [diff] [blame] | 135 | /* Signs and exponents of inputs are equal, let's compare mantissas */ |
| 136 | if (xs == 0) { |
| 137 | /* Inputs are both positive, with equal signs and exponents */ |
| 138 | if (xm <= ym) |
| 139 | return y; |
| 140 | return x; |
| 141 | } |
| 142 | /* Inputs are both negative, with equal signs and exponents */ |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 143 | if (xm <= ym) |
Aleksandar Markovic | aabf5cf | 2017-07-27 18:08:50 +0200 | [diff] [blame] | 144 | return x; |
| 145 | return y; |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 146 | } |
| 147 | |
| 148 | union ieee754sp ieee754sp_fmaxa(union ieee754sp x, union ieee754sp y) |
| 149 | { |
| 150 | COMPXSP; |
| 151 | COMPYSP; |
| 152 | |
| 153 | EXPLODEXSP; |
| 154 | EXPLODEYSP; |
| 155 | |
| 156 | FLUSHXSP; |
| 157 | FLUSHYSP; |
| 158 | |
| 159 | ieee754_clearcx(); |
| 160 | |
| 161 | switch (CLPAIR(xc, yc)) { |
| 162 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN): |
| 163 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN): |
| 164 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN): |
| 165 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN): |
| 166 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN): |
| 167 | return ieee754sp_nanxcpt(y); |
| 168 | |
| 169 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN): |
| 170 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN): |
| 171 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO): |
| 172 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM): |
| 173 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM): |
| 174 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF): |
| 175 | return ieee754sp_nanxcpt(x); |
| 176 | |
Aleksandar Markovic | e78bf0d | 2017-07-27 18:08:48 +0200 | [diff] [blame] | 177 | /* |
| 178 | * Quiet NaN handling |
| 179 | */ |
| 180 | |
| 181 | /* |
| 182 | * The case of both inputs quiet NaNs |
| 183 | */ |
| 184 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN): |
| 185 | return x; |
| 186 | |
| 187 | /* |
| 188 | * The cases of exactly one input quiet NaN (numbers |
| 189 | * are here preferred as returned values to NaNs) |
| 190 | */ |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 191 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN): |
| 192 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN): |
| 193 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN): |
| 194 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN): |
| 195 | return x; |
| 196 | |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 197 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO): |
| 198 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM): |
| 199 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM): |
| 200 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF): |
| 201 | return y; |
| 202 | |
| 203 | /* |
| 204 | * Infinity and zero handling |
| 205 | */ |
Aleksandar Markovic | 3444c4e | 2017-07-27 18:08:52 +0200 | [diff] [blame] | 206 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF): |
| 207 | return ieee754sp_inf(xs & ys); |
| 208 | |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 209 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO): |
| 210 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM): |
| 211 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM): |
| 212 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO): |
| 213 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO): |
| 214 | return x; |
| 215 | |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 216 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF): |
| 217 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF): |
| 218 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF): |
| 219 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM): |
| 220 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM): |
| 221 | return y; |
| 222 | |
| 223 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO): |
Aleksandar Markovic | 15560a5 | 2017-07-27 18:08:49 +0200 | [diff] [blame] | 224 | return ieee754sp_zero(xs & ys); |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 225 | |
| 226 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): |
| 227 | SPDNORMX; |
Aleksandar Markovic | 2a14b21 | 2017-11-02 12:14:05 +0100 | [diff] [blame] | 228 | /* fall through */ |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 229 | |
| 230 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM): |
| 231 | SPDNORMY; |
| 232 | break; |
| 233 | |
| 234 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM): |
| 235 | SPDNORMX; |
| 236 | } |
| 237 | |
| 238 | /* Finally get to do some computation */ |
| 239 | |
| 240 | assert(xm & SP_HIDDEN_BIT); |
| 241 | assert(ym & SP_HIDDEN_BIT); |
| 242 | |
| 243 | /* Compare exponent */ |
| 244 | if (xe > ye) |
| 245 | return x; |
| 246 | else if (xe < ye) |
| 247 | return y; |
| 248 | |
| 249 | /* Compare mantissa */ |
Aleksandar Markovic | 1a41b3b | 2017-07-27 18:08:51 +0200 | [diff] [blame] | 250 | if (xm < ym) |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 251 | return y; |
Aleksandar Markovic | 1a41b3b | 2017-07-27 18:08:51 +0200 | [diff] [blame] | 252 | else if (xm > ym) |
| 253 | return x; |
| 254 | else if (xs == 0) |
| 255 | return x; |
| 256 | return y; |
Markos Chandras | a79f5f9 | 2015-08-13 09:56:36 +0200 | [diff] [blame] | 257 | } |