| ... |
... |
@@ -1062,6 +1062,14 @@ |
|
1062
|
1062
|
(assert-equal 1d0
|
|
1063
|
1063
|
(kernel:%pow ext:double-float-negative-infinity 0d0)))
|
|
1064
|
1064
|
|
|
|
1065
|
+(define-test %powf.case.1
|
|
|
1066
|
+ (:tag :fdlibm)
|
|
|
1067
|
+ ;; anything ^ 0 is 1
|
|
|
1068
|
+ (assert-equal 1f0
|
|
|
1069
|
+ (kernel:%powf ext:single-float-positive-infinity 0f0))
|
|
|
1070
|
+ (assert-equal 1f0
|
|
|
1071
|
+ (kernel:%powf ext:single-float-negative-infinity 0f0)))
|
|
|
1072
|
+
|
|
1065
|
1073
|
(define-test %pow.case.2
|
|
1066
|
1074
|
(:tag :fdlibm)
|
|
1067
|
1075
|
;; anything ^ 1 is itself
|
| ... |
... |
@@ -1070,6 +1078,14 @@ |
|
1070
|
1078
|
(assert-equal ext:double-float-negative-infinity
|
|
1071
|
1079
|
(kernel:%pow ext:double-float-negative-infinity 1d0)))
|
|
1072
|
1080
|
|
|
|
1081
|
+(define-test %powf.case.2
|
|
|
1082
|
+ (:tag :fdlibm)
|
|
|
1083
|
+ ;; anything ^ 1 is itself
|
|
|
1084
|
+ (assert-equal ext:single-float-positive-infinity
|
|
|
1085
|
+ (kernel:%powf ext:single-float-positive-infinity 1f0))
|
|
|
1086
|
+ (assert-equal ext:single-float-negative-infinity
|
|
|
1087
|
+ (kernel:%powf ext:single-float-negative-infinity 1f0)))
|
|
|
1088
|
+
|
|
1073
|
1089
|
(define-test %pow.case.3
|
|
1074
|
1090
|
(:tag :fdlibm)
|
|
1075
|
1091
|
;; anything ^ NaN is NaN
|
| ... |
... |
@@ -1078,6 +1094,14 @@ |
|
1078
|
1094
|
(assert-true (ext:float-nan-p
|
|
1079
|
1095
|
(kernel:%pow ext:double-float-positive-infinity *qnan*))))
|
|
1080
|
1096
|
|
|
|
1097
|
+(define-test %powf.case.3
|
|
|
1098
|
+ (:tag :fdlibm)
|
|
|
1099
|
+ ;; anything ^ NaN is NaN
|
|
|
1100
|
+ (assert-true (ext:float-nan-p
|
|
|
1101
|
+ (kernel:%powf (float pi 1f0) *qnan-single-float*)))
|
|
|
1102
|
+ (assert-true (ext:float-nan-p
|
|
|
1103
|
+ (kernel:%powf ext:single-float-positive-infinity *qnan-single-float*))))
|
|
|
1104
|
+
|
|
1081
|
1105
|
(define-test %pow.case.4
|
|
1082
|
1106
|
(:tag :fdlibm)
|
|
1083
|
1107
|
;; NaN ^ non-zero is NaN
|
| ... |
... |
@@ -1086,6 +1110,14 @@ |
|
1086
|
1110
|
(assert-true (ext:float-nan-p
|
|
1087
|
1111
|
(kernel:%pow *qnan* ext:double-float-positive-infinity))))
|
|
1088
|
1112
|
|
|
|
1113
|
+(define-test %powf.case.4
|
|
|
1114
|
+ (:tag :fdlibm)
|
|
|
1115
|
+ ;; NaN ^ non-zero is NaN
|
|
|
1116
|
+ (assert-true (ext:float-nan-p
|
|
|
1117
|
+ (kernel:%powf *qnan-single-float* (float pi 1f0))))
|
|
|
1118
|
+ (assert-true (ext:float-nan-p
|
|
|
1119
|
+ (kernel:%powf *qnan-single-float* ext:single-float-positive-infinity))))
|
|
|
1120
|
+
|
|
1089
|
1121
|
(define-test %pow.case.5
|
|
1090
|
1122
|
(:tag :fdlibm)
|
|
1091
|
1123
|
;; (|x| > 1) ^ +inf is +inf
|
| ... |
... |
@@ -1094,6 +1126,14 @@ |
|
1094
|
1126
|
(assert-equal ext:double-float-positive-infinity
|
|
1095
|
1127
|
(kernel:%pow (- pi) ext:double-float-positive-infinity)))
|
|
1096
|
1128
|
|
|
|
1129
|
+(define-test %powf.case.5
|
|
|
1130
|
+ (:tag :fdlibm)
|
|
|
1131
|
+ ;; (|x| > 1) ^ +inf is +inf
|
|
|
1132
|
+ (assert-equal ext:single-float-positive-infinity
|
|
|
1133
|
+ (kernel:%powf (float pi 1f0) ext:single-float-positive-infinity))
|
|
|
1134
|
+ (assert-equal ext:single-float-positive-infinity
|
|
|
1135
|
+ (kernel:%powf (float (- pi) 1f0) ext:single-float-positive-infinity)))
|
|
|
1136
|
+
|
|
1097
|
1137
|
(define-test %pow.case.6
|
|
1098
|
1138
|
(:tag :fdlibm)
|
|
1099
|
1139
|
;; (|x| > 1) ^ -inf is +0
|
| ... |
... |
@@ -1102,6 +1142,14 @@ |
|
1102
|
1142
|
(assert-equal +0d0
|
|
1103
|
1143
|
(kernel:%pow (- pi) ext:double-float-negative-infinity)))
|
|
1104
|
1144
|
|
|
|
1145
|
+(define-test %powf.case.6
|
|
|
1146
|
+ (:tag :fdlibm)
|
|
|
1147
|
+ ;; (|x| > 1) ^ -inf is +0
|
|
|
1148
|
+ (assert-equal +0f0
|
|
|
1149
|
+ (kernel:%powf (float pi 1f0) ext:single-float-negative-infinity))
|
|
|
1150
|
+ (assert-equal +0f0
|
|
|
1151
|
+ (kernel:%powf (float (- pi) 1f0) ext:single-float-negative-infinity)))
|
|
|
1152
|
+
|
|
1105
|
1153
|
(define-test %pow.case.7
|
|
1106
|
1154
|
(:tag :fdlibm)
|
|
1107
|
1155
|
;; (|x| < 1) ^ +inf is +0
|
| ... |
... |
@@ -1110,6 +1158,14 @@ |
|
1110
|
1158
|
(assert-equal +0d0
|
|
1111
|
1159
|
(kernel:%pow -0.5d0 ext:double-float-positive-infinity)))
|
|
1112
|
1160
|
|
|
|
1161
|
+(define-test %powf.case.7
|
|
|
1162
|
+ (:tag :fdlibm)
|
|
|
1163
|
+ ;; (|x| < 1) ^ +inf is +0
|
|
|
1164
|
+ (assert-equal +0f0
|
|
|
1165
|
+ (kernel:%powf 0.5f0 ext:single-float-positive-infinity))
|
|
|
1166
|
+ (assert-equal +0f0
|
|
|
1167
|
+ (kernel:%powf -0.5f0 ext:single-float-positive-infinity)))
|
|
|
1168
|
+
|
|
1113
|
1169
|
(define-test %pow.case.8
|
|
1114
|
1170
|
(:tag :fdlibm)
|
|
1115
|
1171
|
;; (|x| < 1) ^ -inf is +inf
|
| ... |
... |
@@ -1118,6 +1174,14 @@ |
|
1118
|
1174
|
(assert-equal ext:double-float-positive-infinity
|
|
1119
|
1175
|
(kernel:%pow -0.5d0 ext:double-float-negative-infinity)))
|
|
1120
|
1176
|
|
|
|
1177
|
+(define-test %powf.case.8
|
|
|
1178
|
+ (:tag :fdlibm)
|
|
|
1179
|
+ ;; (|x| < 1) ^ -inf is +inf
|
|
|
1180
|
+ (assert-equal ext:single-float-positive-infinity
|
|
|
1181
|
+ (kernel:%powf 0.5f0 ext:single-float-negative-infinity))
|
|
|
1182
|
+ (assert-equal ext:single-float-positive-infinity
|
|
|
1183
|
+ (kernel:%powf -0.5f0 ext:single-float-negative-infinity)))
|
|
|
1184
|
+
|
|
1121
|
1185
|
(define-test %pow.case.9
|
|
1122
|
1186
|
(:tag :fdlibm)
|
|
1123
|
1187
|
;; std::pow says 1^exp is 1 for any exp, including NaN. (-1)^(+/-inf)
|
| ... |
... |
@@ -1159,6 +1223,47 @@ |
|
1159
|
1223
|
(assert-true (ext:float-nan-p
|
|
1160
|
1224
|
(kernel:%pow -1d0 ext:double-float-negative-infinity))))))
|
|
1161
|
1225
|
|
|
|
1226
|
+(define-test %powf.case.9
|
|
|
1227
|
+ (:tag :fdlibm)
|
|
|
1228
|
+ ;; std::pow says 1^exp is 1 for any exp, including NaN. (-1)^(+/-inf)
|
|
|
1229
|
+ ;; is 1. No errors signaled.
|
|
|
1230
|
+ #+core-math
|
|
|
1231
|
+ (progn
|
|
|
1232
|
+ (assert-equal 1f0
|
|
|
1233
|
+ (kernel:%powf 1f0 ext:single-float-positive-infinity))
|
|
|
1234
|
+ (assert-equal 1f0
|
|
|
1235
|
+ (kernel:%powf 1f0 ext:single-float-negative-infinity))
|
|
|
1236
|
+ (assert-equal 1f0
|
|
|
1237
|
+ (kernel:%powf 1f0 *qnan-single-float*))
|
|
|
1238
|
+ (assert-equal 1f0
|
|
|
1239
|
+ (kernel:%powf -1f0 ext:single-float-positive-infinity))
|
|
|
1240
|
+ (assert-equal 1f0
|
|
|
1241
|
+ (kernel:%powf -1f0 ext:single-float-negative-infinity)))
|
|
|
1242
|
+ #-core-math
|
|
|
1243
|
+ ;; +-1 ^ +-inf is NaN.
|
|
|
1244
|
+ ;;
|
|
|
1245
|
+ ;; But the implementation signals invalid operation, so we need to
|
|
|
1246
|
+ ;; check for that.
|
|
|
1247
|
+ ;;
|
|
|
1248
|
+ (progn
|
|
|
1249
|
+ (assert-error 'floating-point-invalid-operation
|
|
|
1250
|
+ (kernel:%powf 1f0 ext:single-float-positive-infinity))
|
|
|
1251
|
+ (assert-error 'floating-point-invalid-operation
|
|
|
1252
|
+ (kernel:%powf 1f0 ext:single-float-negative-infinity))
|
|
|
1253
|
+ (assert-error 'floating-point-invalid-operation
|
|
|
1254
|
+ (kernel:%powf -1f0 ext:single-float-positive-infinity))
|
|
|
1255
|
+ (assert-error 'floating-point-invalid-operation
|
|
|
1256
|
+ (kernel:%powf -1f0 ext:single-float-negative-infinity))
|
|
|
1257
|
+ (ext:with-float-traps-masked (:invalid)
|
|
|
1258
|
+ (assert-true (ext:float-nan-p
|
|
|
1259
|
+ (kernel:%powf 1f0 ext:single-float-positive-infinity)))
|
|
|
1260
|
+ (assert-true (ext:float-nan-p
|
|
|
1261
|
+ (kernel:%powf 1f0 ext:single-float-negative-infinity)))
|
|
|
1262
|
+ (assert-true (ext:float-nan-p
|
|
|
1263
|
+ (kernel:%powf -1f0 ext:single-float-positive-infinity)))
|
|
|
1264
|
+ (assert-true (ext:float-nan-p
|
|
|
1265
|
+ (kernel:%powf -1f0 ext:single-float-negative-infinity))))))
|
|
|
1266
|
+
|
|
1162
|
1267
|
(define-test %pow.case.10
|
|
1163
|
1268
|
(:tag :fdlibm)
|
|
1164
|
1269
|
;; +0 ^ (+anything except 0, Nan) is +0
|
| ... |
... |
@@ -1167,6 +1272,14 @@ |
|
1167
|
1272
|
(assert-equal +0d0
|
|
1168
|
1273
|
(kernel:%pow +0d0 ext:double-float-positive-infinity)))
|
|
1169
|
1274
|
|
|
|
1275
|
+(define-test %powf.case.10
|
|
|
1276
|
+ (:tag :fdlibm)
|
|
|
1277
|
+ ;; +0 ^ (+anything except 0, Nan) is +0
|
|
|
1278
|
+ (assert-equal +0f0
|
|
|
1279
|
+ (kernel:%powf +0f0 10f0))
|
|
|
1280
|
+ (assert-equal +0f0
|
|
|
1281
|
+ (kernel:%powf +0f0 ext:single-float-positive-infinity)))
|
|
|
1282
|
+
|
|
1170
|
1283
|
(define-test %pow.case.11
|
|
1171
|
1284
|
(:tag :fdlibm)
|
|
1172
|
1285
|
;; +0 ^ (+anything except 0, Nan, odd integer) is +0
|
| ... |
... |
@@ -1175,6 +1288,14 @@ |
|
1175
|
1288
|
(assert-equal +0d0
|
|
1176
|
1289
|
(kernel:%pow -0d0 ext:double-float-positive-infinity)))
|
|
1177
|
1290
|
|
|
|
1291
|
+(define-test %powf.case.11
|
|
|
1292
|
+ (:tag :fdlibm)
|
|
|
1293
|
+ ;; +0 ^ (+anything except 0, Nan, odd integer) is +0
|
|
|
1294
|
+ (assert-equal +0f0
|
|
|
1295
|
+ (kernel:%powf -0f0 10f0))
|
|
|
1296
|
+ (assert-equal +0f0
|
|
|
1297
|
+ (kernel:%powf -0f0 ext:single-float-positive-infinity)))
|
|
|
1298
|
+
|
|
1178
|
1299
|
(define-test %pow.case.12
|
|
1179
|
1300
|
(:tag :fdlibm)
|
|
1180
|
1301
|
;; +0 ^ (-anything except 0, Nan) is +inf
|
| ... |
... |
@@ -1189,6 +1310,22 @@ |
|
1189
|
1310
|
(assert-equal ext:double-float-positive-infinity
|
|
1190
|
1311
|
(kernel:%pow +0d0 ext:double-float-negative-infinity)))
|
|
1191
|
1312
|
|
|
|
1313
|
+(define-test %powf.case.12
|
|
|
1314
|
+ (:tag :fdlibm)
|
|
|
1315
|
+ ;; +0 ^ (-anything except 0, Nan) is +inf
|
|
|
1316
|
+ ;;
|
|
|
1317
|
+ ;; But fdlibm signals error for (+0)^(-10) instead of returning inf. Check this.
|
|
|
1318
|
+ #+nil
|
|
|
1319
|
+ (assert-error 'division-by-zero
|
|
|
1320
|
+ (kernel:%powf +0f0 -10f0))
|
|
|
1321
|
+ #+nil
|
|
|
1322
|
+ (ext:with-float-traps-masked (:divide-by-zero)
|
|
|
1323
|
+ (assert-equal ext:single-float-positive-infinity
|
|
|
1324
|
+ (kernel:%powf +0f0 -10f0)))
|
|
|
1325
|
+ ;; No signals here.
|
|
|
1326
|
+ (assert-equal ext:single-float-positive-infinity
|
|
|
1327
|
+ (kernel:%powf +0f0 ext:single-float-negative-infinity)))
|
|
|
1328
|
+
|
|
1192
|
1329
|
(define-test %pow.case.13
|
|
1193
|
1330
|
(:tag :fdlibm)
|
|
1194
|
1331
|
;; -0 ^ (-anything except 0, Nan, odd integer) is +inf
|
| ... |
... |
@@ -1203,24 +1340,56 @@ |
|
1203
|
1340
|
(assert-equal ext:double-float-positive-infinity
|
|
1204
|
1341
|
(kernel:%pow +0d0 ext:double-float-negative-infinity)))
|
|
1205
|
1342
|
|
|
|
1343
|
+(define-test %powf.case.13
|
|
|
1344
|
+ (:tag :fdlibm)
|
|
|
1345
|
+ ;; -0 ^ (-anything except 0, Nan, odd integer) is +inf
|
|
|
1346
|
+ ;;
|
|
|
1347
|
+ ;; But (-0)^(-10) signals division by zero
|
|
|
1348
|
+ (assert-error 'division-by-zero
|
|
|
1349
|
+ (kernel:%powf -0f0 -10f0))
|
|
|
1350
|
+ (ext:with-float-traps-masked (:divide-by-zero)
|
|
|
1351
|
+ (assert-equal ext:single-float-positive-infinity
|
|
|
1352
|
+ (kernel:%powf -0f0 -10f0)))
|
|
|
1353
|
+ ;; But no error here.
|
|
|
1354
|
+ (assert-equal ext:single-float-positive-infinity
|
|
|
1355
|
+ (kernel:%powf +0f0 ext:single-float-negative-infinity)))
|
|
|
1356
|
+
|
|
1206
|
1357
|
(define-test %pow.case.14
|
|
1207
|
1358
|
(:tag :fdlibm)
|
|
1208
|
1359
|
;; -0 ^ (odd integer) = -( +0 ^ (odd integer))
|
|
1209
|
1360
|
(assert-equal (- (kernel:%pow +0d0 5d0))
|
|
1210
|
1361
|
(kernel:%pow -0d0 5d0)))
|
|
1211
|
1362
|
|
|
|
1363
|
+(define-test %powf.case.14
|
|
|
1364
|
+ (:tag :fdlibm)
|
|
|
1365
|
+ ;; -0 ^ (odd integer) = -( +0 ^ (odd integer))
|
|
|
1366
|
+ (assert-equal (- (kernel:%powf +0f0 5f0))
|
|
|
1367
|
+ (kernel:%powf -0f0 5f0)))
|
|
|
1368
|
+
|
|
1212
|
1369
|
(define-test %pow.case.15
|
|
1213
|
1370
|
(:tag :fdlibm)
|
|
1214
|
1371
|
;; +inf ^ (+anything except 0, NaN) is +inf
|
|
1215
|
1372
|
(assert-equal ext:double-float-positive-infinity
|
|
1216
|
1373
|
(kernel:%pow ext:double-float-positive-infinity pi)))
|
|
1217
|
1374
|
|
|
|
1375
|
+(define-test %powf.case.15
|
|
|
1376
|
+ (:tag :fdlibm)
|
|
|
1377
|
+ ;; +inf ^ (+anything except 0, NaN) is +inf
|
|
|
1378
|
+ (assert-equal ext:single-float-positive-infinity
|
|
|
1379
|
+ (kernel:%powf ext:single-float-positive-infinity (float pi 1f0))))
|
|
|
1380
|
+
|
|
1218
|
1381
|
(define-test %pow.case.16
|
|
1219
|
1382
|
(:tag :fdlibm)
|
|
1220
|
1383
|
;; +inf ^ (-anything except 0, NaN) is +0
|
|
1221
|
1384
|
(assert-equal +0d0
|
|
1222
|
1385
|
(kernel:%pow ext:double-float-positive-infinity (- pi))))
|
|
1223
|
1386
|
|
|
|
1387
|
+(define-test %powf.case.16
|
|
|
1388
|
+ (:tag :fdlibm)
|
|
|
1389
|
+ ;; +inf ^ (-anything except 0, NaN) is +0
|
|
|
1390
|
+ (assert-equal +0f0
|
|
|
1391
|
+ (kernel:%powf ext:single-float-positive-infinity (float (- pi) 1f0))))
|
|
|
1392
|
+
|
|
1224
|
1393
|
(define-test %pow.case.17
|
|
1225
|
1394
|
(:tag :fdlibm)
|
|
1226
|
1395
|
;; -inf ^ (anything) = -0 ^ (-anything)
|
| ... |
... |
@@ -1232,6 +1401,17 @@ |
|
1232
|
1401
|
(assert-equal (kernel:%pow -0d0 pi)
|
|
1233
|
1402
|
(kernel:%pow ext:double-float-negative-infinity (- pi))))
|
|
1234
|
1403
|
|
|
|
1404
|
+(define-test %powf.case.17
|
|
|
1405
|
+ (:tag :fdlibm)
|
|
|
1406
|
+ ;; -inf ^ (anything) = -0 ^ (-anything)
|
|
|
1407
|
+ (assert-equal (ext:with-float-traps-masked (:divide-by-zero)
|
|
|
1408
|
+ ;; This produces a divide-by-zero error so mask it
|
|
|
1409
|
+ ;; to get a value.
|
|
|
1410
|
+ (kernel:%powf -0f0 (float (- pi) 1f0)))
|
|
|
1411
|
+ (kernel:%powf ext:single-float-negative-infinity (float pi 1f0)))
|
|
|
1412
|
+ (assert-equal (kernel:%powf -0f0 (float pi 1f0))
|
|
|
1413
|
+ (kernel:%powf ext:single-float-negative-infinity (float (- pi) 1f0))))
|
|
|
1414
|
+
|
|
1235
|
1415
|
(define-test %pow.case.18
|
|
1236
|
1416
|
(:tag :fdlibm)
|
|
1237
|
1417
|
;; (-anything) ^ integer is (-1)^integer * (+anything ^ integer)
|
| ... |
... |
@@ -1242,6 +1422,16 @@ |
|
1242
|
1422
|
(kernel:%pow base (coerce power 'double-float))
|
|
1243
|
1423
|
base power))))
|
|
1244
|
1424
|
|
|
|
1425
|
+(define-test %powf.case.18
|
|
|
1426
|
+ (:tag :fdlibm)
|
|
|
1427
|
+ ;; (-anything) ^ integer is (-1)^integer * (+anything ^ integer)
|
|
|
1428
|
+ (dolist (base '(-2f0 -10f0))
|
|
|
1429
|
+ (dolist (power '(5 -5))
|
|
|
1430
|
+ (assert-equal (* (expt -1 power)
|
|
|
1431
|
+ (kernel:%powf (- base) (coerce power 'single-float)))
|
|
|
1432
|
+ (kernel:%powf base (coerce power 'single-float))
|
|
|
1433
|
+ base power))))
|
|
|
1434
|
+
|
|
1245
|
1435
|
(define-test %pow.case.19
|
|
1246
|
1436
|
(:tag :fdlibm)
|
|
1247
|
1437
|
;; (-anything except 0 and inf) ^ non-integer is NaN
|
| ... |
... |
@@ -1252,3 +1442,14 @@ |
|
1252
|
1442
|
(ext:with-float-traps-masked (:invalid)
|
|
1253
|
1443
|
(assert-true (ext:float-nan-p
|
|
1254
|
1444
|
(kernel:%pow -2d0 1.5d0)))))
|
|
|
1445
|
+
|
|
|
1446
|
+(define-test %powf.case.19
|
|
|
1447
|
+ (:tag :fdlibm)
|
|
|
1448
|
+ ;; (-anything except 0 and inf) ^ non-integer is NaN
|
|
|
1449
|
+ ;;
|
|
|
1450
|
+ ;; But this signals invalid, so check for that too.
|
|
|
1451
|
+ (assert-error 'floating-point-invalid-operation
|
|
|
1452
|
+ (kernel:%powf -2f0 1.5f0))
|
|
|
1453
|
+ (ext:with-float-traps-masked (:invalid)
|
|
|
1454
|
+ (assert-true (ext:float-nan-p
|
|
|
1455
|
+ (kernel:%powf -2f0 1.5f0))))) |