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
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
|
#pragma once
#ifdef __GNUC__
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wunused-parameter"
#endif
//===- llvm/FixedPointBuilder.h - Builder for fixed-point ops ---*- C++ -*-===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
//
// This file defines the FixedPointBuilder class, which is used as a convenient
// way to lower fixed-point arithmetic operations to LLVM IR.
//
//===----------------------------------------------------------------------===//
#ifndef LLVM_IR_FIXEDPOINTBUILDER_H
#define LLVM_IR_FIXEDPOINTBUILDER_H
#include "llvm/ADT/APFixedPoint.h"
#include "llvm/IR/Constant.h"
#include "llvm/IR/Constants.h"
#include "llvm/IR/IRBuilder.h"
#include "llvm/IR/InstrTypes.h"
#include "llvm/IR/Instruction.h"
#include "llvm/IR/IntrinsicInst.h"
#include "llvm/IR/Intrinsics.h"
#include "llvm/IR/Type.h"
#include "llvm/IR/Value.h"
#include <cmath>
namespace llvm {
template <class IRBuilderTy> class FixedPointBuilder {
IRBuilderTy &B;
Value *Convert(Value *Src, const FixedPointSemantics &SrcSema,
const FixedPointSemantics &DstSema, bool DstIsInteger) {
unsigned SrcWidth = SrcSema.getWidth();
unsigned DstWidth = DstSema.getWidth();
unsigned SrcScale = SrcSema.getScale();
unsigned DstScale = DstSema.getScale();
bool SrcIsSigned = SrcSema.isSigned();
bool DstIsSigned = DstSema.isSigned();
Type *DstIntTy = B.getIntNTy(DstWidth);
Value *Result = Src;
unsigned ResultWidth = SrcWidth;
// Downscale.
if (DstScale < SrcScale) {
// When converting to integers, we round towards zero. For negative
// numbers, right shifting rounds towards negative infinity. In this case,
// we can just round up before shifting.
if (DstIsInteger && SrcIsSigned) {
Value *Zero = Constant::getNullValue(Result->getType());
Value *IsNegative = B.CreateICmpSLT(Result, Zero);
Value *LowBits = ConstantInt::get(
B.getContext(), APInt::getLowBitsSet(ResultWidth, SrcScale));
Value *Rounded = B.CreateAdd(Result, LowBits);
Result = B.CreateSelect(IsNegative, Rounded, Result);
}
Result = SrcIsSigned
? B.CreateAShr(Result, SrcScale - DstScale, "downscale")
: B.CreateLShr(Result, SrcScale - DstScale, "downscale");
}
if (!DstSema.isSaturated()) {
// Resize.
Result = B.CreateIntCast(Result, DstIntTy, SrcIsSigned, "resize");
// Upscale.
if (DstScale > SrcScale)
Result = B.CreateShl(Result, DstScale - SrcScale, "upscale");
} else {
// Adjust the number of fractional bits.
if (DstScale > SrcScale) {
// Compare to DstWidth to prevent resizing twice.
ResultWidth = std::max(SrcWidth + DstScale - SrcScale, DstWidth);
Type *UpscaledTy = B.getIntNTy(ResultWidth);
Result = B.CreateIntCast(Result, UpscaledTy, SrcIsSigned, "resize");
Result = B.CreateShl(Result, DstScale - SrcScale, "upscale");
}
// Handle saturation.
bool LessIntBits = DstSema.getIntegralBits() < SrcSema.getIntegralBits();
if (LessIntBits) {
Value *Max = ConstantInt::get(
B.getContext(),
APFixedPoint::getMax(DstSema).getValue().extOrTrunc(ResultWidth));
Value *TooHigh = SrcIsSigned ? B.CreateICmpSGT(Result, Max)
: B.CreateICmpUGT(Result, Max);
Result = B.CreateSelect(TooHigh, Max, Result, "satmax");
}
// Cannot overflow min to dest type if src is unsigned since all fixed
// point types can cover the unsigned min of 0.
if (SrcIsSigned && (LessIntBits || !DstIsSigned)) {
Value *Min = ConstantInt::get(
B.getContext(),
APFixedPoint::getMin(DstSema).getValue().extOrTrunc(ResultWidth));
Value *TooLow = B.CreateICmpSLT(Result, Min);
Result = B.CreateSelect(TooLow, Min, Result, "satmin");
}
// Resize the integer part to get the final destination size.
if (ResultWidth != DstWidth)
Result = B.CreateIntCast(Result, DstIntTy, SrcIsSigned, "resize");
}
return Result;
}
/// Get the common semantic for two semantics, with the added imposition that
/// saturated padded types retain the padding bit.
FixedPointSemantics
getCommonBinopSemantic(const FixedPointSemantics &LHSSema,
const FixedPointSemantics &RHSSema) {
auto C = LHSSema.getCommonSemantics(RHSSema);
bool BothPadded =
LHSSema.hasUnsignedPadding() && RHSSema.hasUnsignedPadding();
return FixedPointSemantics(
C.getWidth() + (unsigned)(BothPadded && C.isSaturated()), C.getScale(),
C.isSigned(), C.isSaturated(), BothPadded);
}
/// Given a floating point type and a fixed-point semantic, return a floating
/// point type which can accommodate the fixed-point semantic. This is either
/// \p Ty, or a floating point type with a larger exponent than Ty.
Type *getAccommodatingFloatType(Type *Ty, const FixedPointSemantics &Sema) {
const fltSemantics *FloatSema = &Ty->getFltSemantics();
while (!Sema.fitsInFloatSemantics(*FloatSema))
FloatSema = APFixedPoint::promoteFloatSemantics(FloatSema);
return Type::getFloatingPointTy(Ty->getContext(), *FloatSema);
}
public:
FixedPointBuilder(IRBuilderTy &Builder) : B(Builder) {}
/// Convert an integer value representing a fixed-point number from one
/// fixed-point semantic to another fixed-point semantic.
/// \p Src - The source value
/// \p SrcSema - The fixed-point semantic of the source value
/// \p DstSema - The resulting fixed-point semantic
Value *CreateFixedToFixed(Value *Src, const FixedPointSemantics &SrcSema,
const FixedPointSemantics &DstSema) {
return Convert(Src, SrcSema, DstSema, false);
}
/// Convert an integer value representing a fixed-point number to an integer
/// with the given bit width and signedness.
/// \p Src - The source value
/// \p SrcSema - The fixed-point semantic of the source value
/// \p DstWidth - The bit width of the result value
/// \p DstIsSigned - The signedness of the result value
Value *CreateFixedToInteger(Value *Src, const FixedPointSemantics &SrcSema,
unsigned DstWidth, bool DstIsSigned) {
return Convert(
Src, SrcSema,
FixedPointSemantics::GetIntegerSemantics(DstWidth, DstIsSigned), true);
}
/// Convert an integer value with the given signedness to an integer value
/// representing the given fixed-point semantic.
/// \p Src - The source value
/// \p SrcIsSigned - The signedness of the source value
/// \p DstSema - The resulting fixed-point semantic
Value *CreateIntegerToFixed(Value *Src, unsigned SrcIsSigned,
const FixedPointSemantics &DstSema) {
return Convert(Src,
FixedPointSemantics::GetIntegerSemantics(
Src->getType()->getScalarSizeInBits(), SrcIsSigned),
DstSema, false);
}
Value *CreateFixedToFloating(Value *Src, const FixedPointSemantics &SrcSema,
Type *DstTy) {
Value *Result;
Type *OpTy = getAccommodatingFloatType(DstTy, SrcSema);
// Convert the raw fixed-point value directly to floating point. If the
// value is too large to fit, it will be rounded, not truncated.
Result = SrcSema.isSigned() ? B.CreateSIToFP(Src, OpTy)
: B.CreateUIToFP(Src, OpTy);
// Rescale the integral-in-floating point by the scaling factor. This is
// lossless, except for overflow to infinity which is unlikely.
Result = B.CreateFMul(Result,
ConstantFP::get(OpTy, std::pow(2, -(int)SrcSema.getScale())));
if (OpTy != DstTy)
Result = B.CreateFPTrunc(Result, DstTy);
return Result;
}
Value *CreateFloatingToFixed(Value *Src, const FixedPointSemantics &DstSema) {
bool UseSigned = DstSema.isSigned() || DstSema.hasUnsignedPadding();
Value *Result = Src;
Type *OpTy = getAccommodatingFloatType(Src->getType(), DstSema);
if (OpTy != Src->getType())
Result = B.CreateFPExt(Result, OpTy);
// Rescale the floating point value so that its significant bits (for the
// purposes of the conversion) are in the integral range.
Result = B.CreateFMul(Result,
ConstantFP::get(OpTy, std::pow(2, DstSema.getScale())));
Type *ResultTy = B.getIntNTy(DstSema.getWidth());
if (DstSema.isSaturated()) {
Intrinsic::ID IID =
UseSigned ? Intrinsic::fptosi_sat : Intrinsic::fptoui_sat;
Result = B.CreateIntrinsic(IID, {ResultTy, OpTy}, {Result});
} else {
Result = UseSigned ? B.CreateFPToSI(Result, ResultTy)
: B.CreateFPToUI(Result, ResultTy);
}
// When saturating unsigned-with-padding using signed operations, we may
// get negative values. Emit an extra clamp to zero.
if (DstSema.isSaturated() && DstSema.hasUnsignedPadding()) {
Constant *Zero = Constant::getNullValue(Result->getType());
Result =
B.CreateSelect(B.CreateICmpSLT(Result, Zero), Zero, Result, "satmin");
}
return Result;
}
/// Add two fixed-point values and return the result in their common semantic.
/// \p LHS - The left hand side
/// \p LHSSema - The semantic of the left hand side
/// \p RHS - The right hand side
/// \p RHSSema - The semantic of the right hand side
Value *CreateAdd(Value *LHS, const FixedPointSemantics &LHSSema,
Value *RHS, const FixedPointSemantics &RHSSema) {
auto CommonSema = getCommonBinopSemantic(LHSSema, RHSSema);
bool UseSigned = CommonSema.isSigned() || CommonSema.hasUnsignedPadding();
Value *WideLHS = CreateFixedToFixed(LHS, LHSSema, CommonSema);
Value *WideRHS = CreateFixedToFixed(RHS, RHSSema, CommonSema);
Value *Result;
if (CommonSema.isSaturated()) {
Intrinsic::ID IID = UseSigned ? Intrinsic::sadd_sat : Intrinsic::uadd_sat;
Result = B.CreateBinaryIntrinsic(IID, WideLHS, WideRHS);
} else {
Result = B.CreateAdd(WideLHS, WideRHS);
}
return CreateFixedToFixed(Result, CommonSema,
LHSSema.getCommonSemantics(RHSSema));
}
/// Subtract two fixed-point values and return the result in their common
/// semantic.
/// \p LHS - The left hand side
/// \p LHSSema - The semantic of the left hand side
/// \p RHS - The right hand side
/// \p RHSSema - The semantic of the right hand side
Value *CreateSub(Value *LHS, const FixedPointSemantics &LHSSema,
Value *RHS, const FixedPointSemantics &RHSSema) {
auto CommonSema = getCommonBinopSemantic(LHSSema, RHSSema);
bool UseSigned = CommonSema.isSigned() || CommonSema.hasUnsignedPadding();
Value *WideLHS = CreateFixedToFixed(LHS, LHSSema, CommonSema);
Value *WideRHS = CreateFixedToFixed(RHS, RHSSema, CommonSema);
Value *Result;
if (CommonSema.isSaturated()) {
Intrinsic::ID IID = UseSigned ? Intrinsic::ssub_sat : Intrinsic::usub_sat;
Result = B.CreateBinaryIntrinsic(IID, WideLHS, WideRHS);
} else {
Result = B.CreateSub(WideLHS, WideRHS);
}
// Subtraction can end up below 0 for padded unsigned operations, so emit
// an extra clamp in that case.
if (CommonSema.isSaturated() && CommonSema.hasUnsignedPadding()) {
Constant *Zero = Constant::getNullValue(Result->getType());
Result =
B.CreateSelect(B.CreateICmpSLT(Result, Zero), Zero, Result, "satmin");
}
return CreateFixedToFixed(Result, CommonSema,
LHSSema.getCommonSemantics(RHSSema));
}
/// Multiply two fixed-point values and return the result in their common
/// semantic.
/// \p LHS - The left hand side
/// \p LHSSema - The semantic of the left hand side
/// \p RHS - The right hand side
/// \p RHSSema - The semantic of the right hand side
Value *CreateMul(Value *LHS, const FixedPointSemantics &LHSSema,
Value *RHS, const FixedPointSemantics &RHSSema) {
auto CommonSema = getCommonBinopSemantic(LHSSema, RHSSema);
bool UseSigned = CommonSema.isSigned() || CommonSema.hasUnsignedPadding();
Value *WideLHS = CreateFixedToFixed(LHS, LHSSema, CommonSema);
Value *WideRHS = CreateFixedToFixed(RHS, RHSSema, CommonSema);
Intrinsic::ID IID;
if (CommonSema.isSaturated()) {
IID = UseSigned ? Intrinsic::smul_fix_sat : Intrinsic::umul_fix_sat;
} else {
IID = UseSigned ? Intrinsic::smul_fix : Intrinsic::umul_fix;
}
Value *Result = B.CreateIntrinsic(
IID, {WideLHS->getType()},
{WideLHS, WideRHS, B.getInt32(CommonSema.getScale())});
return CreateFixedToFixed(Result, CommonSema,
LHSSema.getCommonSemantics(RHSSema));
}
/// Divide two fixed-point values and return the result in their common
/// semantic.
/// \p LHS - The left hand side
/// \p LHSSema - The semantic of the left hand side
/// \p RHS - The right hand side
/// \p RHSSema - The semantic of the right hand side
Value *CreateDiv(Value *LHS, const FixedPointSemantics &LHSSema,
Value *RHS, const FixedPointSemantics &RHSSema) {
auto CommonSema = getCommonBinopSemantic(LHSSema, RHSSema);
bool UseSigned = CommonSema.isSigned() || CommonSema.hasUnsignedPadding();
Value *WideLHS = CreateFixedToFixed(LHS, LHSSema, CommonSema);
Value *WideRHS = CreateFixedToFixed(RHS, RHSSema, CommonSema);
Intrinsic::ID IID;
if (CommonSema.isSaturated()) {
IID = UseSigned ? Intrinsic::sdiv_fix_sat : Intrinsic::udiv_fix_sat;
} else {
IID = UseSigned ? Intrinsic::sdiv_fix : Intrinsic::udiv_fix;
}
Value *Result = B.CreateIntrinsic(
IID, {WideLHS->getType()},
{WideLHS, WideRHS, B.getInt32(CommonSema.getScale())});
return CreateFixedToFixed(Result, CommonSema,
LHSSema.getCommonSemantics(RHSSema));
}
/// Left shift a fixed-point value by an unsigned integer value. The integer
/// value can be any bit width.
/// \p LHS - The left hand side
/// \p LHSSema - The semantic of the left hand side
/// \p RHS - The right hand side
Value *CreateShl(Value *LHS, const FixedPointSemantics &LHSSema, Value *RHS) {
bool UseSigned = LHSSema.isSigned() || LHSSema.hasUnsignedPadding();
RHS = B.CreateIntCast(RHS, LHS->getType(), /*IsSigned=*/false);
Value *Result;
if (LHSSema.isSaturated()) {
Intrinsic::ID IID = UseSigned ? Intrinsic::sshl_sat : Intrinsic::ushl_sat;
Result = B.CreateBinaryIntrinsic(IID, LHS, RHS);
} else {
Result = B.CreateShl(LHS, RHS);
}
return Result;
}
/// Right shift a fixed-point value by an unsigned integer value. The integer
/// value can be any bit width.
/// \p LHS - The left hand side
/// \p LHSSema - The semantic of the left hand side
/// \p RHS - The right hand side
Value *CreateShr(Value *LHS, const FixedPointSemantics &LHSSema, Value *RHS) {
RHS = B.CreateIntCast(RHS, LHS->getType(), false);
return LHSSema.isSigned() ? B.CreateAShr(LHS, RHS) : B.CreateLShr(LHS, RHS);
}
/// Compare two fixed-point values for equality.
/// \p LHS - The left hand side
/// \p LHSSema - The semantic of the left hand side
/// \p RHS - The right hand side
/// \p RHSSema - The semantic of the right hand side
Value *CreateEQ(Value *LHS, const FixedPointSemantics &LHSSema,
Value *RHS, const FixedPointSemantics &RHSSema) {
auto CommonSema = getCommonBinopSemantic(LHSSema, RHSSema);
Value *WideLHS = CreateFixedToFixed(LHS, LHSSema, CommonSema);
Value *WideRHS = CreateFixedToFixed(RHS, RHSSema, CommonSema);
return B.CreateICmpEQ(WideLHS, WideRHS);
}
/// Compare two fixed-point values for inequality.
/// \p LHS - The left hand side
/// \p LHSSema - The semantic of the left hand side
/// \p RHS - The right hand side
/// \p RHSSema - The semantic of the right hand side
Value *CreateNE(Value *LHS, const FixedPointSemantics &LHSSema,
Value *RHS, const FixedPointSemantics &RHSSema) {
auto CommonSema = getCommonBinopSemantic(LHSSema, RHSSema);
Value *WideLHS = CreateFixedToFixed(LHS, LHSSema, CommonSema);
Value *WideRHS = CreateFixedToFixed(RHS, RHSSema, CommonSema);
return B.CreateICmpNE(WideLHS, WideRHS);
}
/// Compare two fixed-point values as LHS < RHS.
/// \p LHS - The left hand side
/// \p LHSSema - The semantic of the left hand side
/// \p RHS - The right hand side
/// \p RHSSema - The semantic of the right hand side
Value *CreateLT(Value *LHS, const FixedPointSemantics &LHSSema,
Value *RHS, const FixedPointSemantics &RHSSema) {
auto CommonSema = getCommonBinopSemantic(LHSSema, RHSSema);
Value *WideLHS = CreateFixedToFixed(LHS, LHSSema, CommonSema);
Value *WideRHS = CreateFixedToFixed(RHS, RHSSema, CommonSema);
return CommonSema.isSigned() ? B.CreateICmpSLT(WideLHS, WideRHS)
: B.CreateICmpULT(WideLHS, WideRHS);
}
/// Compare two fixed-point values as LHS <= RHS.
/// \p LHS - The left hand side
/// \p LHSSema - The semantic of the left hand side
/// \p RHS - The right hand side
/// \p RHSSema - The semantic of the right hand side
Value *CreateLE(Value *LHS, const FixedPointSemantics &LHSSema,
Value *RHS, const FixedPointSemantics &RHSSema) {
auto CommonSema = getCommonBinopSemantic(LHSSema, RHSSema);
Value *WideLHS = CreateFixedToFixed(LHS, LHSSema, CommonSema);
Value *WideRHS = CreateFixedToFixed(RHS, RHSSema, CommonSema);
return CommonSema.isSigned() ? B.CreateICmpSLE(WideLHS, WideRHS)
: B.CreateICmpULE(WideLHS, WideRHS);
}
/// Compare two fixed-point values as LHS > RHS.
/// \p LHS - The left hand side
/// \p LHSSema - The semantic of the left hand side
/// \p RHS - The right hand side
/// \p RHSSema - The semantic of the right hand side
Value *CreateGT(Value *LHS, const FixedPointSemantics &LHSSema,
Value *RHS, const FixedPointSemantics &RHSSema) {
auto CommonSema = getCommonBinopSemantic(LHSSema, RHSSema);
Value *WideLHS = CreateFixedToFixed(LHS, LHSSema, CommonSema);
Value *WideRHS = CreateFixedToFixed(RHS, RHSSema, CommonSema);
return CommonSema.isSigned() ? B.CreateICmpSGT(WideLHS, WideRHS)
: B.CreateICmpUGT(WideLHS, WideRHS);
}
/// Compare two fixed-point values as LHS >= RHS.
/// \p LHS - The left hand side
/// \p LHSSema - The semantic of the left hand side
/// \p RHS - The right hand side
/// \p RHSSema - The semantic of the right hand side
Value *CreateGE(Value *LHS, const FixedPointSemantics &LHSSema,
Value *RHS, const FixedPointSemantics &RHSSema) {
auto CommonSema = getCommonBinopSemantic(LHSSema, RHSSema);
Value *WideLHS = CreateFixedToFixed(LHS, LHSSema, CommonSema);
Value *WideRHS = CreateFixedToFixed(RHS, RHSSema, CommonSema);
return CommonSema.isSigned() ? B.CreateICmpSGE(WideLHS, WideRHS)
: B.CreateICmpUGE(WideLHS, WideRHS);
}
};
} // end namespace llvm
#endif // LLVM_IR_FIXEDPOINTBUILDER_H
#ifdef __GNUC__
#pragma GCC diagnostic pop
#endif
|