//===- 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 namespace llvm { template 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