1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
|
// RUN: mlir-opt %s --split-input-file -test-expand-math | FileCheck %s
// CHECK-LABEL: func @tanh
func.func @tanh(%arg: f32) -> f32 {
%res = math.tanh %arg : f32
return %res : f32
}
// CHECK-DAG: %[[ZERO:.+]] = arith.constant 0.000000e+00 : f32
// CHECK-DAG: %[[ONE:.+]] = arith.constant 1.000000e+00 : f32
// CHECK-DAG: %[[TWO:.+]] = arith.constant 2.000000e+00 : f32
// CHECK: %[[DOUBLEDX:.+]] = arith.mulf %arg0, %[[TWO]] : f32
// CHECK: %[[NEGDOUBLEDX:.+]] = arith.negf %[[DOUBLEDX]] : f32
// CHECK: %[[EXP1:.+]] = math.exp %[[NEGDOUBLEDX]] : f32
// CHECK: %[[DIVIDEND1:.+]] = arith.subf %[[ONE]], %[[EXP1]] : f32
// CHECK: %[[DIVISOR1:.+]] = arith.addf %[[EXP1]], %[[ONE]] : f32
// CHECK: %[[RES1:.+]] = arith.divf %[[DIVIDEND1]], %[[DIVISOR1]] : f32
// CHECK: %[[EXP2:.+]] = math.exp %[[DOUBLEDX]] : f32
// CHECK: %[[DIVIDEND2:.+]] = arith.subf %[[EXP2]], %[[ONE]] : f32
// CHECK: %[[DIVISOR2:.+]] = arith.addf %[[EXP2]], %[[ONE]] : f32
// CHECK: %[[RES2:.+]] = arith.divf %[[DIVIDEND2]], %[[DIVISOR2]] : f32
// CHECK: %[[COND:.+]] = arith.cmpf oge, %arg0, %[[ZERO]] : f32
// CHECK: %[[RESULT:.+]] = arith.select %[[COND]], %[[RES1]], %[[RES2]] : f32
// CHECK: return %[[RESULT]]
// -----
// CHECK-LABEL: func @vector_tanh
func.func @vector_tanh(%arg: vector<4xf32>) -> vector<4xf32> {
// CHECK-NOT: math.tanh
%res = math.tanh %arg : vector<4xf32>
return %res : vector<4xf32>
}
// -----
// CHECK-LABEL: func @tan
func.func @tan(%arg: f32) -> f32 {
%res = math.tan %arg : f32
return %res : f32
}
// CHECK-SAME: %[[ARG0:.+]]: f32
// CHECK: %[[SIN:.+]] = math.sin %[[ARG0]]
// CHECK: %[[COS:.+]] = math.cos %[[ARG0]]
// CHECK: %[[DIV:.+]] = arith.divf %[[SIN]], %[[COS]]
// -----
// CHECK-LABEL: func @vector_tan
func.func @vector_tan(%arg: vector<4xf32>) -> vector<4xf32> {
%res = math.tan %arg : vector<4xf32>
return %res : vector<4xf32>
}
// CHECK-NOT: math.tan
// -----
func.func @ctlz(%arg: i32) -> i32 {
%res = math.ctlz %arg : i32
return %res : i32
}
// CHECK-LABEL: @ctlz
// CHECK-SAME: %[[ARG0:.+]]: i32
// CHECK-DAG: %[[C0:.+]] = arith.constant 0
// CHECK-DAG: %[[C16:.+]] = arith.constant 16
// CHECK-DAG: %[[C65535:.+]] = arith.constant 65535
// CHECK-DAG: %[[C8:.+]] = arith.constant 8
// CHECK-DAG: %[[C16777215:.+]] = arith.constant 16777215
// CHECK-DAG: %[[C4:.+]] = arith.constant 4
// CHECK-DAG: %[[C268435455:.+]] = arith.constant 268435455
// CHECK-DAG: %[[C2:.+]] = arith.constant 2
// CHECK-DAG: %[[C1073741823:.+]] = arith.constant 1073741823
// CHECK-DAG: %[[C1:.+]] = arith.constant 1
// CHECK-DAG: %[[C2147483647:.+]] = arith.constant 2147483647
// CHECK-DAG: %[[C32:.+]] = arith.constant 32
// CHECK: %[[PRED:.+]] = arith.cmpi ule, %[[ARG0]], %[[C65535]]
// CHECK: %[[SHL:.+]] = arith.shli %[[ARG0]], %[[C16]]
// CHECK: %[[SELX0:.+]] = arith.select %[[PRED]], %[[SHL]], %[[ARG0]]
// CHECK: %[[SELY0:.+]] = arith.select %[[PRED]], %[[C16]], %[[C0]]
// CHECK: %[[PRED:.+]] = arith.cmpi ule, %[[SELX0]], %[[C16777215]]
// CHECK: %[[ADD:.+]] = arith.addi %[[SELY0]], %[[C8]]
// CHECK: %[[SHL:.+]] = arith.shli %[[SELX0]], %[[C8]]
// CHECK: %[[SELX1:.+]] = arith.select %[[PRED]], %[[SHL]], %[[SELX0]]
// CHECK: %[[SELY1:.+]] = arith.select %[[PRED]], %[[ADD]], %[[SELY0]]
// CHECK: %[[PRED:.+]] = arith.cmpi ule, %[[SELX1]], %[[C268435455]] : i32
// CHECK: %[[ADD:.+]] = arith.addi %[[SELY1]], %[[C4]]
// CHECK: %[[SHL:.+]] = arith.shli %[[SELX1]], %[[C4]]
// CHECK: %[[SELX2:.+]] = arith.select %[[PRED]], %[[SHL]], %[[SELX1]]
// CHECK: %[[SELY2:.+]] = arith.select %[[PRED]], %[[ADD]], %[[SELY1]]
// CHECK: %[[PRED:.+]] = arith.cmpi ule, %[[SELX2]], %[[C1073741823]] : i32
// CHECK: %[[ADD:.+]] = arith.addi %[[SELY2]], %[[C2]]
// CHECK: %[[SHL:.+]] = arith.shli %[[SELX2]], %[[C2]]
// CHECK: %[[SELX3:.+]] = arith.select %[[PRED]], %[[SHL]], %[[SELX2]]
// CHECK: %[[SELY3:.+]] = arith.select %[[PRED]], %[[ADD]], %[[SELY2]]
// CHECK: %[[PRED:.+]] = arith.cmpi ule, %[[SELX3]], %[[C2147483647]] : i32
// CHECK: %[[ADD:.+]] = arith.addi %[[SELY3]], %[[C1]]
// CHECK: %[[SELY4:.+]] = arith.select %[[PRED]], %[[ADD]], %[[SELY3]]
// CHECK: %[[PRED:.+]] = arith.cmpi eq, %[[ARG0]], %[[C0]] : i32
// CHECK: %[[SEL:.+]] = arith.select %[[PRED]], %[[C32]], %[[SELY4]] : i32
// CHECK: return %[[SEL]]
// -----
func.func @ctlz_vector(%arg: vector<4xi32>) -> vector<4xi32> {
%res = math.ctlz %arg : vector<4xi32>
return %res : vector<4xi32>
}
// CHECK-LABEL: @ctlz_vector
// CHECK-NOT: math.ctlz
// -----
// CHECK-LABEL: func @fmaf_func
// CHECK-SAME: ([[ARG0:%.+]]: f64, [[ARG1:%.+]]: f64, [[ARG2:%.+]]: f64) -> f64
func.func @fmaf_func(%a: f64, %b: f64, %c: f64) -> f64 {
// CHECK-NEXT: [[MULF:%.+]] = arith.mulf [[ARG0]], [[ARG1]]
// CHECK-NEXT: [[ADDF:%.+]] = arith.addf [[MULF]], [[ARG2]]
// CHECK-NEXT: return [[ADDF]]
%ret = math.fma %a, %b, %c : f64
return %ret : f64
}
// -----
// CHECK-LABEL: func @floorf_func
// CHECK-SAME: ([[ARG0:%.+]]: f64) -> f64
func.func @floorf_func(%a: f64) -> f64 {
// CHECK-DAG: [[CST:%.+]] = arith.constant 0.000
// CHECK-DAG: [[CST_0:%.+]] = arith.constant -1.000
// CHECK-NEXT: [[CVTI:%.+]] = arith.fptosi [[ARG0]]
// CHECK-NEXT: [[CVTF:%.+]] = arith.sitofp [[CVTI]]
// CHECK-NEXT: [[COPYSIGN:%.+]] = math.copysign [[CVTF]], [[ARG0]]
// CHECK-NEXT: [[COMP:%.+]] = arith.cmpf olt, [[ARG0]], [[CST]]
// CHECK-NEXT: [[INCR:%.+]] = arith.select [[COMP]], [[CST_0]], [[CST]]
// CHECK-NEXT: [[ADDF:%.+]] = arith.addf [[COPYSIGN]], [[INCR]]
// CHECK-NEXT: return [[ADDF]]
%ret = math.floor %a : f64
return %ret : f64
}
// -----
// CHECK-LABEL: func @ceilf_func
// CHECK-SAME: ([[ARG0:%.+]]: f64) -> f64
func.func @ceilf_func(%a: f64) -> f64 {
// CHECK-DAG: [[CST:%.+]] = arith.constant 0.000
// CHECK-DAG: [[CST_0:%.+]] = arith.constant 1.000
// CHECK-NEXT: [[CVTI:%.+]] = arith.fptosi [[ARG0]]
// CHECK-NEXT: [[CVTF:%.+]] = arith.sitofp [[CVTI]]
// CHECK-NEXT: [[COPYSIGN:%.+]] = math.copysign [[CVTF]], [[ARG0]]
// CHECK-NEXT: [[COMP:%.+]] = arith.cmpf ogt, [[ARG0]], [[COPYSIGN]]
// CHECK-NEXT: [[INCR:%.+]] = arith.select [[COMP]], [[CST_0]], [[CST]]
// CHECK-NEXT: [[ADDF:%.+]] = arith.addf [[COPYSIGN]], [[INCR]]
// CHECK-NEXT: return [[ADDF]]
%ret = math.ceil %a : f64
return %ret : f64
}
// -----
// CHECK-LABEL: func @exp2f_func
// CHECK-SAME: ([[ARG0:%.+]]: f64) -> f64
func.func @exp2f_func(%a: f64) -> f64 {
// CHECK-DAG: [[CST:%.+]] = arith.constant 0.69314718055994529
// CHECK: [[MULF:%.+]] = arith.mulf [[ARG0]], [[CST]]
// CHECK: [[EXP:%.+]] = math.exp [[MULF]]
// CHECK: return [[EXP]]
%ret = math.exp2 %a : f64
return %ret : f64
}
// CHECK-LABEL: func @exp2f_func_tensor
// CHECK-SAME: ([[ARG0:%.+]]: tensor<1xf32>) -> tensor<1xf32>
func.func @exp2f_func_tensor(%a: tensor<1xf32>) -> tensor<1xf32> {
// CHECK-DAG: [[CST:%.+]] = arith.constant dense<0.693147182>
// CHECK: [[MULF:%.+]] = arith.mulf [[ARG0]], [[CST]]
// CHECK: [[EXP:%.+]] = math.exp [[MULF]]
// CHECK: return [[EXP]]
%ret = math.exp2 %a : tensor<1xf32>
return %ret : tensor<1xf32>
}
// -----
// CHECK-LABEL: func @roundf_func
// CHECK-SAME: (%[[ARG0:.*]]: f32) -> f32
func.func @roundf_func(%a: f32) -> f32 {
// CHECK-DAG: %[[HALF:.*]] = arith.constant 5.000000e-01
// CHECK-DAG: %[[C23:.*]] = arith.constant 23
// CHECK-DAG: %[[C127:.*]] = arith.constant 127
// CHECK-DAG: %[[EXP_MASK:.*]] = arith.constant 255
// CHECK-DAG: %[[SHIFT:.*]] = math.copysign %[[HALF]], %[[ARG0]]
// CHECK-DAG: %[[ARG_SHIFTED:.*]] = arith.addf %[[ARG0]], %[[SHIFT]]
// CHECK-DAG: %[[FIXED_CONVERT:.*]] = arith.fptosi %[[ARG_SHIFTED]]
// CHECK-DAG: %[[FP_FIXED_CONVERT_0:.*]] = arith.sitofp %[[FIXED_CONVERT]]
// CHECK-DAG: %[[FP_FIXED_CONVERT_1:.*]] = math.copysign %[[FP_FIXED_CONVERT_0]], %[[ARG_SHIFTED]]
// CHECK-DAG: %[[ARG_BITCAST:.*]] = arith.bitcast %[[ARG0]] : f32 to i32
// CHECK-DAG: %[[ARG_BITCAST_SHIFTED:.*]] = arith.shrui %[[ARG_BITCAST]], %[[C23]]
// CHECK-DAG: %[[ARG_EXP:.*]] = arith.andi %[[ARG_BITCAST_SHIFTED]], %[[EXP_MASK]]
// CHECK-DAG: %[[ARG_BIASED_EXP:.*]] = arith.subi %[[ARG_EXP]], %[[C127]]
// CHECK-DAG: %[[IS_SPECIAL_VAL:.*]] = arith.cmpi sge, %[[ARG_BIASED_EXP]], %[[C23]]
// CHECK-DAG: %[[RESULT:.*]] = arith.select %[[IS_SPECIAL_VAL]], %[[ARG0]], %[[FP_FIXED_CONVERT_1]]
// CHECK: return %[[RESULT]]
%ret = math.round %a : f32
return %ret : f32
}
// -----
// CHECK-LABEL: func @powf_func
// CHECK-SAME: ([[ARG0:%.+]]: f64, [[ARG1:%.+]]: f64)
func.func @powf_func(%a: f64, %b: f64) ->f64 {
// CHECK-DAG = [[CST0:%.+]] = arith.constant 0.000000e+00
// CHECK-DAG: [[TWO:%.+]] = arith.constant 2.000000e+00
// CHECK-DAG: [[NEGONE:%.+]] = arith.constant -1.000000e+00
// CHECK-DAG: [[SQR:%.+]] = arith.mulf [[ARG0]], [[ARG0]]
// CHECK-DAG: [[HALF:%.+]] = arith.divf [[ARG1]], [[TWO]]
// CHECK-DAG: [[LOG:%.+]] = math.log [[SQR]]
// CHECK-DAG: [[MULT:%.+]] = arith.mulf [[HALF]], [[LOG]]
// CHECK-DAG: [[EXPR:%.+]] = math.exp [[MULT]]
// CHECK-DAG: [[NEGEXPR:%.+]] = arith.mulf [[EXPR]], [[NEGONE]]
// CHECK-DAG: [[REMF:%.+]] = arith.remf [[ARG1]], [[TWO]]
// CHECK-DAG: [[CMPNEG:%.+]] = arith.cmpf olt, [[ARG0]]
// CHECK-DAG: [[CMPZERO:%.+]] = arith.cmpf one, [[REMF]]
// CHECK-DAG: [[AND:%.+]] = arith.andi [[CMPZERO]], [[CMPNEG]]
// CHECK-DAG: [[SEL:%.+]] = arith.select [[AND]], [[NEGEXPR]], [[EXPR]]
// CHECK: return [[SEL]]
%ret = math.powf %a, %b : f64
return %ret : f64
}
// -----
// CHECK-LABEL: func.func @roundeven
func.func @roundeven(%arg: f32) -> f32 {
%res = math.roundeven %arg : f32
return %res : f32
}
// CHECK-SAME: %[[VAL_0:.*]]: f32) -> f32 {
// CHECK-DAG: %[[C_0:.*]] = arith.constant 0 : i32
// CHECK-DAG: %[[C_1:.*]] = arith.constant 1 : i32
// CHECK-DAG: %[[C_NEG_1:.*]] = arith.constant -1 : i32
// CHECK-DAG: %[[C_1_FLOAT:.*]] = arith.constant 1.000000e+00 : f32
// CHECK-DAG: %[[C_23:.*]] = arith.constant 23 : i32
// CHECK-DAG: %[[C_31:.*]] = arith.constant 31 : i32
// CHECK-DAG: %[[C_127:.*]] = arith.constant 127 : i32
// CHECK-DAG: %[[C_4194304:.*]] = arith.constant 4194304 : i32
// CHECK-DAG: %[[C_8388607:.*]] = arith.constant 8388607 : i32
// CHECK-DAG: %[[EXP_MASK:.*]] = arith.constant 255 : i32
// CHECK-DAG: %[[HALF:.*]] = arith.constant 5.000000e-01
// CHECK: %[[OPERAND_BITCAST:.*]] = arith.bitcast %[[VAL_0]] : f32 to i32
// Calculate `math.round(operand)` using expansion pattern for `round` and
// bitcast result to i32
// CHECK: %[[SHIFT:.*]] = math.copysign %[[HALF]], %[[VAL_0]]
// CHECK: %[[ARG_SHIFTED:.*]] = arith.addf %[[VAL_0]], %[[SHIFT]]
// CHECK: %[[FIXED_CONVERT:.*]] = arith.fptosi %[[ARG_SHIFTED]]
// CHECK: %[[FP_FIXED_CONVERT_0:.*]] = arith.sitofp %[[FIXED_CONVERT]]
// CHECK: %[[FP_FIXED_CONVERT_1:.*]] = math.copysign %[[FP_FIXED_CONVERT_0]], %[[ARG_SHIFTED]]
// CHECK: %[[ARG_BITCAST:.*]] = arith.bitcast %[[VAL_0]] : f32 to i32
// CHECK: %[[ARG_BITCAST_SHIFTED:.*]] = arith.shrui %[[ARG_BITCAST]], %[[C_23]]
// CHECK: %[[ARG_EXP:.*]] = arith.andi %[[ARG_BITCAST_SHIFTED]], %[[EXP_MASK]]
// CHECK: %[[ARG_BIASED_EXP:.*]] = arith.subi %[[ARG_EXP]], %[[C_127]]
// CHECK: %[[IS_SPECIAL_VAL:.*]] = arith.cmpi sge, %[[ARG_BIASED_EXP]], %[[C_23]]
// CHECK: %[[ROUND:.*]] = arith.select %[[IS_SPECIAL_VAL]], %[[VAL_0]], %[[FP_FIXED_CONVERT_1]]
// CHECK: %[[ROUND_BITCAST:.*]] = arith.bitcast %[[ROUND]] : f32 to i32
// Get biased exponents of `round` and `operand`
// CHECK: %[[SHIFTED_OPERAND_BITCAST:.*]] = arith.shrui %[[OPERAND_BITCAST]], %[[C_23]] : i32
// CHECK: %[[OPERAND_EXP:.*]] = arith.andi %[[SHIFTED_OPERAND_BITCAST]], %[[EXP_MASK]] : i32
// CHECK: %[[OPERAND_BIASED_EXP:.*]] = arith.subi %[[OPERAND_EXP]], %[[C_127]] : i32
// CHECK: %[[SHIFTED_ROUND_BITCAST:.*]] = arith.shrui %[[ROUND_BITCAST]], %[[C_23]] : i32
// CHECK: %[[ROUND_EXP:.*]] = arith.andi %[[SHIFTED_ROUND_BITCAST]], %[[EXP_MASK]] : i32
// CHECK: %[[ROUND_BIASED_EXP:.*]] = arith.subi %[[ROUND_EXP]], %[[C_127]] : i32
// Determine if `ROUND_BITCAST` is an even whole number or a special value
// +-inf, +-nan.
// Mask mantissa of `ROUND_BITCAST` with a mask shifted to the right by
// `ROUND_BIASED_EXP - 1`
// CHECK-DAG: %[[ROUND_BIASED_EXP_MINUS_1:.*]] = arith.subi %[[ROUND_BIASED_EXP]], %[[C_1]] : i32
// CHECK-DAG: %[[CLAMPED_SHIFT_0:.*]] = arith.maxsi %[[ROUND_BIASED_EXP_MINUS_1]], %[[C_0]] : i32
// CHECK-DAG: %[[CLAMPED_SHIFT_1:.*]] = arith.minsi %[[CLAMPED_SHIFT_0]], %[[C_31]] : i32
// CHECK-DAG: %[[SHIFTED_MANTISSA_MASK_0:.*]] = arith.shrui %[[C_8388607]], %[[CLAMPED_SHIFT_1]] : i32
// CHECK-DAG: %[[ROUND_MASKED_MANTISSA:.*]] = arith.andi %[[ROUND_BITCAST]], %[[SHIFTED_MANTISSA_MASK_0]] : i32
// `ROUND_BITCAST` is not even whole number or special value if masked
// mantissa is != 0 or `ROUND_BIASED_EXP == 0`
// CHECK-DAG: %[[ROUND_IS_NOT_EVEN_OR_SPECIAL_0:.*]] = arith.cmpi ne, %[[ROUND_MASKED_MANTISSA]], %[[C_0]] : i32
// CHECK-DAG: %[[ROUND_BIASED_EXP_EQ_0:.*]] = arith.cmpi eq, %[[ROUND_BIASED_EXP]], %[[C_0]] : i32
// CHECK-DAG: %[[ROUND_IS_NOT_EVEN_OR_SPECIAL_1:.*]] = arith.ori %[[ROUND_IS_NOT_EVEN_OR_SPECIAL_0]], %[[ROUND_BIASED_EXP_EQ_0]] : i1
// Determine if operand is halfway between two integer values
// CHECK: %[[OPERAND_BIASED_EXP_EQ_NEG_1:.*]] = arith.cmpi eq, %[[OPERAND_BIASED_EXP]], %[[C_NEG_1]] : i32
// CHECK: %[[CLAMPED_SHIFT_2:.*]] = arith.maxsi %[[OPERAND_BIASED_EXP]], %[[C_0]] : i32
// CHECK: %[[CLAMPED_SHIFT_3:.*]] = arith.minsi %[[CLAMPED_SHIFT_2]], %[[C_31]] : i32
// CHECK: %[[SHIFTED_2_TO_22:.*]] = arith.shrui %[[C_4194304]], %[[CLAMPED_SHIFT_3]] : i32
// A value with `0 <= BIASED_EXP < 23` is halfway between two consecutive
// integers if the bit at index `BIASED_EXP` starting from the left in the
// mantissa is 1 and all the bits to the right are zero. For the case where
// `BIASED_EXP == -1, the expected mantissa is all zeros.
// CHECK: %[[EXPECTED_OPERAND_MASKED_MANTISSA:.*]] = arith.select %[[OPERAND_BIASED_EXP_EQ_NEG_1]], %[[C_0]], %[[SHIFTED_2_TO_22]] : i32
// Mask mantissa of `OPERAND_BITCAST` with a mask shifted to the right by
// `OPERAND_BIASED_EXP`
// CHECK: %[[CLAMPED_SHIFT_4:.*]] = arith.maxsi %[[OPERAND_BIASED_EXP]], %[[C_0]] : i32
// CHECK: %[[CLAMPED_SHIFT_5:.*]] = arith.minsi %[[CLAMPED_SHIFT_4]], %[[C_31]] : i32
// CHECK: %[[SHIFTED_MANTISSA_MASK_1:.*]] = arith.shrui %[[C_8388607]], %[[CLAMPED_SHIFT_5]] : i32
// CHECK: %[[OPERAND_MASKED_MANTISSA:.*]] = arith.andi %[[OPERAND_BITCAST]], %[[SHIFTED_MANTISSA_MASK_1]] : i32
// The operand is halfway between two integers if the masked mantissa is equal
// to the expected mantissa and the biased exponent is in the range
// [-1, 23).
// CHECK-DAG: %[[OPERAND_BIASED_EXP_GE_NEG_1:.*]] = arith.cmpi sge, %[[OPERAND_BIASED_EXP]], %[[C_NEG_1]] : i32
// CHECK-DAG: %[[OPERAND_BIASED_EXP_LT_23:.*]] = arith.cmpi slt, %[[OPERAND_BIASED_EXP]], %[[C_23]] : i32
// CHECK-DAG: %[[OPERAND_IS_HALFWAY_0:.*]] = arith.cmpi eq, %[[OPERAND_MASKED_MANTISSA]], %[[EXPECTED_OPERAND_MASKED_MANTISSA]] : i32
// CHECK-DAG: %[[OPERAND_IS_HALFWAY_1:.*]] = arith.andi %[[OPERAND_IS_HALFWAY_0]], %[[OPERAND_BIASED_EXP_LT_23]] : i1
// CHECK-DAG: %[[OPERAND_IS_HALFWAY_2:.*]] = arith.andi %[[OPERAND_IS_HALFWAY_1]], %[[OPERAND_BIASED_EXP_GE_NEG_1]] : i1
// Adjust rounded operand with `round(operand) - sign(operand)` to correct the
// case where `round` rounded in the oppositve direction of `roundeven`.
// CHECK: %[[SIGN:.*]] = math.copysign %[[C_1_FLOAT]], %[[VAL_0]] : f32
// CHECK: %[[ROUND_SHIFTED:.*]] = arith.subf %[[ROUND]], %[[SIGN]] : f32
// CHECK: %[[NEEDS_SHIFT:.*]] = arith.andi %[[ROUND_IS_NOT_EVEN_OR_SPECIAL_1]], %[[OPERAND_IS_HALFWAY_2]] : i1
// CHECK: %[[RESULT:.*]] = arith.select %[[NEEDS_SHIFT]], %[[ROUND_SHIFTED]], %[[ROUND]] : f32
// The `x - sign` adjustment does not preserve the sign when we are adjusting the value -1 to -0.
// CHECK: %[[COPYSIGN:.*]] = math.copysign %[[RESULT]], %[[VAL_0]] : f32
// CHECK: return %[[COPYSIGN]] : f32
|
