/
generic.rules
1777 lines (1620 loc) · 86.7 KB
/
generic.rules
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// Copyright 2015 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
// Simplifications that apply to all backend architectures. As an example, this
// Go source code
//
// y := 0 * x
//
// can be translated into y := 0 without losing any information, which saves a
// pointless multiplication instruction. Other .rules files in this directory
// (for example AMD64.rules) contain rules specific to the architecture in the
// filename. The rules here apply to every architecture.
//
// The code for parsing this file lives in rulegen.go; this file generates
// ssa/rewritegeneric.go.
// values are specified using the following format:
// (op <type> [auxint] {aux} arg0 arg1 ...)
// the type, aux, and auxint fields are optional
// on the matching side
// - the type, aux, and auxint fields must match if they are specified.
// - the first occurrence of a variable defines that variable. Subsequent
// uses must match (be == to) the first use.
// - v is defined to be the value matched.
// - an additional conditional can be provided after the match pattern with "&&".
// on the generated side
// - the type of the top-level expression is the same as the one on the left-hand side.
// - the type of any subexpressions must be specified explicitly (or
// be specified in the op's type field).
// - auxint will be 0 if not specified.
// - aux will be nil if not specified.
// blocks are specified using the following format:
// (kind controlvalue succ0 succ1 ...)
// controlvalue must be "nil" or a value expression
// succ* fields must be variables
// For now, the generated successors must be a permutation of the matched successors.
// constant folding
(Trunc16to8 (Const16 [c])) -> (Const8 [int64(int8(c))])
(Trunc32to8 (Const32 [c])) -> (Const8 [int64(int8(c))])
(Trunc32to16 (Const32 [c])) -> (Const16 [int64(int16(c))])
(Trunc64to8 (Const64 [c])) -> (Const8 [int64(int8(c))])
(Trunc64to16 (Const64 [c])) -> (Const16 [int64(int16(c))])
(Trunc64to32 (Const64 [c])) -> (Const32 [int64(int32(c))])
(Cvt64Fto32F (Const64F [c])) -> (Const32F [auxFrom32F(float32(auxTo64F(c)))])
(Cvt32Fto64F (Const32F [c])) -> (Const64F [c]) // c is already a 64 bit float
(Cvt32to32F (Const32 [c])) -> (Const32F [auxFrom32F(float32(int32(c)))])
(Cvt32to64F (Const32 [c])) -> (Const64F [auxFrom64F(float64(int32(c)))])
(Cvt64to32F (Const64 [c])) -> (Const32F [auxFrom32F(float32(c))])
(Cvt64to64F (Const64 [c])) -> (Const64F [auxFrom64F(float64(c))])
(Cvt32Fto32 (Const32F [c])) -> (Const32 [int64(int32(auxTo32F(c)))])
(Cvt32Fto64 (Const32F [c])) -> (Const64 [int64(auxTo32F(c))])
(Cvt64Fto32 (Const64F [c])) -> (Const32 [int64(int32(auxTo64F(c)))])
(Cvt64Fto64 (Const64F [c])) -> (Const64 [int64(auxTo64F(c))])
(Round32F x:(Const32F)) -> x
(Round64F x:(Const64F)) -> x
(Trunc16to8 (ZeroExt8to16 x)) -> x
(Trunc32to8 (ZeroExt8to32 x)) -> x
(Trunc32to16 (ZeroExt8to32 x)) -> (ZeroExt8to16 x)
(Trunc32to16 (ZeroExt16to32 x)) -> x
(Trunc64to8 (ZeroExt8to64 x)) -> x
(Trunc64to16 (ZeroExt8to64 x)) -> (ZeroExt8to16 x)
(Trunc64to16 (ZeroExt16to64 x)) -> x
(Trunc64to32 (ZeroExt8to64 x)) -> (ZeroExt8to32 x)
(Trunc64to32 (ZeroExt16to64 x)) -> (ZeroExt16to32 x)
(Trunc64to32 (ZeroExt32to64 x)) -> x
(Trunc16to8 (SignExt8to16 x)) -> x
(Trunc32to8 (SignExt8to32 x)) -> x
(Trunc32to16 (SignExt8to32 x)) -> (SignExt8to16 x)
(Trunc32to16 (SignExt16to32 x)) -> x
(Trunc64to8 (SignExt8to64 x)) -> x
(Trunc64to16 (SignExt8to64 x)) -> (SignExt8to16 x)
(Trunc64to16 (SignExt16to64 x)) -> x
(Trunc64to32 (SignExt8to64 x)) -> (SignExt8to32 x)
(Trunc64to32 (SignExt16to64 x)) -> (SignExt16to32 x)
(Trunc64to32 (SignExt32to64 x)) -> x
(ZeroExt8to16 (Const8 [c])) -> (Const16 [int64( uint8(c))])
(ZeroExt8to32 (Const8 [c])) -> (Const32 [int64( uint8(c))])
(ZeroExt8to64 (Const8 [c])) -> (Const64 [int64( uint8(c))])
(ZeroExt16to32 (Const16 [c])) -> (Const32 [int64(uint16(c))])
(ZeroExt16to64 (Const16 [c])) -> (Const64 [int64(uint16(c))])
(ZeroExt32to64 (Const32 [c])) -> (Const64 [int64(uint32(c))])
(SignExt8to16 (Const8 [c])) -> (Const16 [int64( int8(c))])
(SignExt8to32 (Const8 [c])) -> (Const32 [int64( int8(c))])
(SignExt8to64 (Const8 [c])) -> (Const64 [int64( int8(c))])
(SignExt16to32 (Const16 [c])) -> (Const32 [int64( int16(c))])
(SignExt16to64 (Const16 [c])) -> (Const64 [int64( int16(c))])
(SignExt32to64 (Const32 [c])) -> (Const64 [int64( int32(c))])
(Neg8 (Const8 [c])) -> (Const8 [int64( -int8(c))])
(Neg16 (Const16 [c])) -> (Const16 [int64(-int16(c))])
(Neg32 (Const32 [c])) -> (Const32 [int64(-int32(c))])
(Neg64 (Const64 [c])) -> (Const64 [-c])
(Neg32F (Const32F [c])) && auxTo32F(c) != 0 -> (Const32F [auxFrom32F(-auxTo32F(c))])
(Neg64F (Const64F [c])) && auxTo64F(c) != 0 -> (Const64F [auxFrom64F(-auxTo64F(c))])
(Add8 (Const8 [c]) (Const8 [d])) -> (Const8 [int64(int8(c+d))])
(Add16 (Const16 [c]) (Const16 [d])) -> (Const16 [int64(int16(c+d))])
(Add32 (Const32 [c]) (Const32 [d])) -> (Const32 [int64(int32(c+d))])
(Add64 (Const64 [c]) (Const64 [d])) -> (Const64 [c+d])
(Add32F (Const32F [c]) (Const32F [d])) -> (Const32F [auxFrom32F(auxTo32F(c) + auxTo32F(d))])
(Add64F (Const64F [c]) (Const64F [d])) -> (Const64F [auxFrom64F(auxTo64F(c) + auxTo64F(d))])
(AddPtr <t> x (Const64 [c])) -> (OffPtr <t> x [c])
(AddPtr <t> x (Const32 [c])) -> (OffPtr <t> x [c])
(Sub8 (Const8 [c]) (Const8 [d])) -> (Const8 [int64(int8(c-d))])
(Sub16 (Const16 [c]) (Const16 [d])) -> (Const16 [int64(int16(c-d))])
(Sub32 (Const32 [c]) (Const32 [d])) -> (Const32 [int64(int32(c-d))])
(Sub64 (Const64 [c]) (Const64 [d])) -> (Const64 [c-d])
(Sub32F (Const32F [c]) (Const32F [d])) -> (Const32F [auxFrom32F(auxTo32F(c) - auxTo32F(d))])
(Sub64F (Const64F [c]) (Const64F [d])) -> (Const64F [auxFrom64F(auxTo64F(c) - auxTo64F(d))])
(Mul8 (Const8 [c]) (Const8 [d])) -> (Const8 [int64(int8(c*d))])
(Mul16 (Const16 [c]) (Const16 [d])) -> (Const16 [int64(int16(c*d))])
(Mul32 (Const32 [c]) (Const32 [d])) -> (Const32 [int64(int32(c*d))])
(Mul64 (Const64 [c]) (Const64 [d])) -> (Const64 [c*d])
(Mul32F (Const32F [c]) (Const32F [d])) -> (Const32F [auxFrom32F(auxTo32F(c) * auxTo32F(d))])
(Mul64F (Const64F [c]) (Const64F [d])) -> (Const64F [auxFrom64F(auxTo64F(c) * auxTo64F(d))])
(And8 (Const8 [c]) (Const8 [d])) -> (Const8 [int64(int8(c&d))])
(And16 (Const16 [c]) (Const16 [d])) -> (Const16 [int64(int16(c&d))])
(And32 (Const32 [c]) (Const32 [d])) -> (Const32 [int64(int32(c&d))])
(And64 (Const64 [c]) (Const64 [d])) -> (Const64 [c&d])
(Or8 (Const8 [c]) (Const8 [d])) -> (Const8 [int64(int8(c|d))])
(Or16 (Const16 [c]) (Const16 [d])) -> (Const16 [int64(int16(c|d))])
(Or32 (Const32 [c]) (Const32 [d])) -> (Const32 [int64(int32(c|d))])
(Or64 (Const64 [c]) (Const64 [d])) -> (Const64 [c|d])
(Xor8 (Const8 [c]) (Const8 [d])) -> (Const8 [int64(int8(c^d))])
(Xor16 (Const16 [c]) (Const16 [d])) -> (Const16 [int64(int16(c^d))])
(Xor32 (Const32 [c]) (Const32 [d])) -> (Const32 [int64(int32(c^d))])
(Xor64 (Const64 [c]) (Const64 [d])) -> (Const64 [c^d])
(Div8 (Const8 [c]) (Const8 [d])) && d != 0 -> (Const8 [int64(int8(c)/int8(d))])
(Div16 (Const16 [c]) (Const16 [d])) && d != 0 -> (Const16 [int64(int16(c)/int16(d))])
(Div32 (Const32 [c]) (Const32 [d])) && d != 0 -> (Const32 [int64(int32(c)/int32(d))])
(Div64 (Const64 [c]) (Const64 [d])) && d != 0 -> (Const64 [c/d])
(Div8u (Const8 [c]) (Const8 [d])) && d != 0 -> (Const8 [int64(int8(uint8(c)/uint8(d)))])
(Div16u (Const16 [c]) (Const16 [d])) && d != 0 -> (Const16 [int64(int16(uint16(c)/uint16(d)))])
(Div32u (Const32 [c]) (Const32 [d])) && d != 0 -> (Const32 [int64(int32(uint32(c)/uint32(d)))])
(Div64u (Const64 [c]) (Const64 [d])) && d != 0 -> (Const64 [int64(uint64(c)/uint64(d))])
(Div32F (Const32F [c]) (Const32F [d])) -> (Const32F [auxFrom32F(auxTo32F(c) / auxTo32F(d))])
(Div64F (Const64F [c]) (Const64F [d])) -> (Const64F [auxFrom64F(auxTo64F(c) / auxTo64F(d))])
(Not (ConstBool [c])) -> (ConstBool [1-c])
// Convert x * 1 to x.
(Mul(8|16|32|64) (Const(8|16|32|64) [1]) x) -> x
// Convert x * -1 to -x.
(Mul(8|16|32|64) (Const(8|16|32|64) [-1]) x) -> (Neg(8|16|32|64) x)
// Convert multiplication by a power of two to a shift.
(Mul8 <t> n (Const8 [c])) && isPowerOfTwo(c) -> (Lsh8x64 <t> n (Const64 <typ.UInt64> [log2(c)]))
(Mul16 <t> n (Const16 [c])) && isPowerOfTwo(c) -> (Lsh16x64 <t> n (Const64 <typ.UInt64> [log2(c)]))
(Mul32 <t> n (Const32 [c])) && isPowerOfTwo(c) -> (Lsh32x64 <t> n (Const64 <typ.UInt64> [log2(c)]))
(Mul64 <t> n (Const64 [c])) && isPowerOfTwo(c) -> (Lsh64x64 <t> n (Const64 <typ.UInt64> [log2(c)]))
(Mul8 <t> n (Const8 [c])) && t.IsSigned() && isPowerOfTwo(-c) -> (Neg8 (Lsh8x64 <t> n (Const64 <typ.UInt64> [log2(-c)])))
(Mul16 <t> n (Const16 [c])) && t.IsSigned() && isPowerOfTwo(-c) -> (Neg16 (Lsh16x64 <t> n (Const64 <typ.UInt64> [log2(-c)])))
(Mul32 <t> n (Const32 [c])) && t.IsSigned() && isPowerOfTwo(-c) -> (Neg32 (Lsh32x64 <t> n (Const64 <typ.UInt64> [log2(-c)])))
(Mul64 <t> n (Const64 [c])) && t.IsSigned() && isPowerOfTwo(-c) -> (Neg64 (Lsh64x64 <t> n (Const64 <typ.UInt64> [log2(-c)])))
(Mod8 (Const8 [c]) (Const8 [d])) && d != 0 -> (Const8 [int64(int8(c % d))])
(Mod16 (Const16 [c]) (Const16 [d])) && d != 0 -> (Const16 [int64(int16(c % d))])
(Mod32 (Const32 [c]) (Const32 [d])) && d != 0 -> (Const32 [int64(int32(c % d))])
(Mod64 (Const64 [c]) (Const64 [d])) && d != 0 -> (Const64 [c % d])
(Mod8u (Const8 [c]) (Const8 [d])) && d != 0 -> (Const8 [int64(uint8(c) % uint8(d))])
(Mod16u (Const16 [c]) (Const16 [d])) && d != 0 -> (Const16 [int64(uint16(c) % uint16(d))])
(Mod32u (Const32 [c]) (Const32 [d])) && d != 0 -> (Const32 [int64(uint32(c) % uint32(d))])
(Mod64u (Const64 [c]) (Const64 [d])) && d != 0 -> (Const64 [int64(uint64(c) % uint64(d))])
(Lsh64x64 (Const64 [c]) (Const64 [d])) -> (Const64 [c << uint64(d)])
(Rsh64x64 (Const64 [c]) (Const64 [d])) -> (Const64 [c >> uint64(d)])
(Rsh64Ux64 (Const64 [c]) (Const64 [d])) -> (Const64 [int64(uint64(c) >> uint64(d))])
(Lsh32x64 (Const32 [c]) (Const64 [d])) -> (Const32 [int64(int32(c) << uint64(d))])
(Rsh32x64 (Const32 [c]) (Const64 [d])) -> (Const32 [int64(int32(c) >> uint64(d))])
(Rsh32Ux64 (Const32 [c]) (Const64 [d])) -> (Const32 [int64(int32(uint32(c) >> uint64(d)))])
(Lsh16x64 (Const16 [c]) (Const64 [d])) -> (Const16 [int64(int16(c) << uint64(d))])
(Rsh16x64 (Const16 [c]) (Const64 [d])) -> (Const16 [int64(int16(c) >> uint64(d))])
(Rsh16Ux64 (Const16 [c]) (Const64 [d])) -> (Const16 [int64(int16(uint16(c) >> uint64(d)))])
(Lsh8x64 (Const8 [c]) (Const64 [d])) -> (Const8 [int64(int8(c) << uint64(d))])
(Rsh8x64 (Const8 [c]) (Const64 [d])) -> (Const8 [int64(int8(c) >> uint64(d))])
(Rsh8Ux64 (Const8 [c]) (Const64 [d])) -> (Const8 [int64(int8(uint8(c) >> uint64(d)))])
// Fold IsInBounds when the range of the index cannot exceed the limit.
(IsInBounds (ZeroExt8to32 _) (Const32 [c])) && (1 << 8) <= c -> (ConstBool [1])
(IsInBounds (ZeroExt8to64 _) (Const64 [c])) && (1 << 8) <= c -> (ConstBool [1])
(IsInBounds (ZeroExt16to32 _) (Const32 [c])) && (1 << 16) <= c -> (ConstBool [1])
(IsInBounds (ZeroExt16to64 _) (Const64 [c])) && (1 << 16) <= c -> (ConstBool [1])
(IsInBounds x x) -> (ConstBool [0])
(IsInBounds (And8 (Const8 [c]) _) (Const8 [d])) && 0 <= c && c < d -> (ConstBool [1])
(IsInBounds (ZeroExt8to16 (And8 (Const8 [c]) _)) (Const16 [d])) && 0 <= c && c < d -> (ConstBool [1])
(IsInBounds (ZeroExt8to32 (And8 (Const8 [c]) _)) (Const32 [d])) && 0 <= c && c < d -> (ConstBool [1])
(IsInBounds (ZeroExt8to64 (And8 (Const8 [c]) _)) (Const64 [d])) && 0 <= c && c < d -> (ConstBool [1])
(IsInBounds (And16 (Const16 [c]) _) (Const16 [d])) && 0 <= c && c < d -> (ConstBool [1])
(IsInBounds (ZeroExt16to32 (And16 (Const16 [c]) _)) (Const32 [d])) && 0 <= c && c < d -> (ConstBool [1])
(IsInBounds (ZeroExt16to64 (And16 (Const16 [c]) _)) (Const64 [d])) && 0 <= c && c < d -> (ConstBool [1])
(IsInBounds (And32 (Const32 [c]) _) (Const32 [d])) && 0 <= c && c < d -> (ConstBool [1])
(IsInBounds (ZeroExt32to64 (And32 (Const32 [c]) _)) (Const64 [d])) && 0 <= c && c < d -> (ConstBool [1])
(IsInBounds (And64 (Const64 [c]) _) (Const64 [d])) && 0 <= c && c < d -> (ConstBool [1])
(IsInBounds (Const32 [c]) (Const32 [d])) -> (ConstBool [b2i(0 <= c && c < d)])
(IsInBounds (Const64 [c]) (Const64 [d])) -> (ConstBool [b2i(0 <= c && c < d)])
// (Mod64u x y) is always between 0 (inclusive) and y (exclusive).
(IsInBounds (Mod32u _ y) y) -> (ConstBool [1])
(IsInBounds (Mod64u _ y) y) -> (ConstBool [1])
// Right shifting an unsigned number limits its value.
(IsInBounds (ZeroExt8to64 (Rsh8Ux64 _ (Const64 [c]))) (Const64 [d])) && 0 < c && c < 8 && 1<<uint( 8-c)-1 < d -> (ConstBool [1])
(IsInBounds (ZeroExt8to32 (Rsh8Ux64 _ (Const64 [c]))) (Const32 [d])) && 0 < c && c < 8 && 1<<uint( 8-c)-1 < d -> (ConstBool [1])
(IsInBounds (ZeroExt8to16 (Rsh8Ux64 _ (Const64 [c]))) (Const16 [d])) && 0 < c && c < 8 && 1<<uint( 8-c)-1 < d -> (ConstBool [1])
(IsInBounds (Rsh8Ux64 _ (Const64 [c])) (Const64 [d])) && 0 < c && c < 8 && 1<<uint( 8-c)-1 < d -> (ConstBool [1])
(IsInBounds (ZeroExt16to64 (Rsh16Ux64 _ (Const64 [c]))) (Const64 [d])) && 0 < c && c < 16 && 1<<uint(16-c)-1 < d -> (ConstBool [1])
(IsInBounds (ZeroExt16to32 (Rsh16Ux64 _ (Const64 [c]))) (Const64 [d])) && 0 < c && c < 16 && 1<<uint(16-c)-1 < d -> (ConstBool [1])
(IsInBounds (Rsh16Ux64 _ (Const64 [c])) (Const64 [d])) && 0 < c && c < 16 && 1<<uint(16-c)-1 < d -> (ConstBool [1])
(IsInBounds (ZeroExt32to64 (Rsh32Ux64 _ (Const64 [c]))) (Const64 [d])) && 0 < c && c < 32 && 1<<uint(32-c)-1 < d -> (ConstBool [1])
(IsInBounds (Rsh32Ux64 _ (Const64 [c])) (Const64 [d])) && 0 < c && c < 32 && 1<<uint(32-c)-1 < d -> (ConstBool [1])
(IsInBounds (Rsh64Ux64 _ (Const64 [c])) (Const64 [d])) && 0 < c && c < 64 && 1<<uint(64-c)-1 < d -> (ConstBool [1])
(IsSliceInBounds x x) -> (ConstBool [1])
(IsSliceInBounds (And32 (Const32 [c]) _) (Const32 [d])) && 0 <= c && c <= d -> (ConstBool [1])
(IsSliceInBounds (And64 (Const64 [c]) _) (Const64 [d])) && 0 <= c && c <= d -> (ConstBool [1])
(IsSliceInBounds (Const32 [0]) _) -> (ConstBool [1])
(IsSliceInBounds (Const64 [0]) _) -> (ConstBool [1])
(IsSliceInBounds (Const32 [c]) (Const32 [d])) -> (ConstBool [b2i(0 <= c && c <= d)])
(IsSliceInBounds (Const64 [c]) (Const64 [d])) -> (ConstBool [b2i(0 <= c && c <= d)])
(IsSliceInBounds (SliceLen x) (SliceCap x)) -> (ConstBool [1])
(Eq(64|32|16|8) x x) -> (ConstBool [1])
(EqB (ConstBool [c]) (ConstBool [d])) -> (ConstBool [b2i(c == d)])
(EqB (ConstBool [0]) x) -> (Not x)
(EqB (ConstBool [1]) x) -> x
(Neq(64|32|16|8) x x) -> (ConstBool [0])
(NeqB (ConstBool [c]) (ConstBool [d])) -> (ConstBool [b2i(c != d)])
(NeqB (ConstBool [0]) x) -> x
(NeqB (ConstBool [1]) x) -> (Not x)
(NeqB (Not x) (Not y)) -> (NeqB x y)
(Eq64 (Const64 <t> [c]) (Add64 (Const64 <t> [d]) x)) -> (Eq64 (Const64 <t> [c-d]) x)
(Eq32 (Const32 <t> [c]) (Add32 (Const32 <t> [d]) x)) -> (Eq32 (Const32 <t> [int64(int32(c-d))]) x)
(Eq16 (Const16 <t> [c]) (Add16 (Const16 <t> [d]) x)) -> (Eq16 (Const16 <t> [int64(int16(c-d))]) x)
(Eq8 (Const8 <t> [c]) (Add8 (Const8 <t> [d]) x)) -> (Eq8 (Const8 <t> [int64(int8(c-d))]) x)
(Neq64 (Const64 <t> [c]) (Add64 (Const64 <t> [d]) x)) -> (Neq64 (Const64 <t> [c-d]) x)
(Neq32 (Const32 <t> [c]) (Add32 (Const32 <t> [d]) x)) -> (Neq32 (Const32 <t> [int64(int32(c-d))]) x)
(Neq16 (Const16 <t> [c]) (Add16 (Const16 <t> [d]) x)) -> (Neq16 (Const16 <t> [int64(int16(c-d))]) x)
(Neq8 (Const8 <t> [c]) (Add8 (Const8 <t> [d]) x)) -> (Neq8 (Const8 <t> [int64(int8(c-d))]) x)
// Canonicalize x-const to x+(-const)
(Sub64 x (Const64 <t> [c])) && x.Op != OpConst64 -> (Add64 (Const64 <t> [-c]) x)
(Sub32 x (Const32 <t> [c])) && x.Op != OpConst32 -> (Add32 (Const32 <t> [int64(int32(-c))]) x)
(Sub16 x (Const16 <t> [c])) && x.Op != OpConst16 -> (Add16 (Const16 <t> [int64(int16(-c))]) x)
(Sub8 x (Const8 <t> [c])) && x.Op != OpConst8 -> (Add8 (Const8 <t> [int64(int8(-c))]) x)
// fold negation into comparison operators
(Not (Eq(64|32|16|8|B) x y)) -> (Neq(64|32|16|8|B) x y)
(Not (Neq(64|32|16|8|B) x y)) -> (Eq(64|32|16|8|B) x y)
(Not (Greater(64|32|16|8) x y)) -> (Leq(64|32|16|8) x y)
(Not (Greater(64|32|16|8)U x y)) -> (Leq(64|32|16|8)U x y)
(Not (Geq(64|32|16|8) x y)) -> (Less(64|32|16|8) x y)
(Not (Geq(64|32|16|8)U x y)) -> (Less(64|32|16|8)U x y)
(Not (Less(64|32|16|8) x y)) -> (Geq(64|32|16|8) x y)
(Not (Less(64|32|16|8)U x y)) -> (Geq(64|32|16|8)U x y)
(Not (Leq(64|32|16|8) x y)) -> (Greater(64|32|16|8) x y)
(Not (Leq(64|32|16|8)U x y)) -> (Greater(64|32|16|8)U x y)
// Distribute multiplication c * (d+x) -> c*d + c*x. Useful for:
// a[i].b = ...; a[i+1].b = ...
(Mul64 (Const64 <t> [c]) (Add64 <t> (Const64 <t> [d]) x)) ->
(Add64 (Const64 <t> [c*d]) (Mul64 <t> (Const64 <t> [c]) x))
(Mul32 (Const32 <t> [c]) (Add32 <t> (Const32 <t> [d]) x)) ->
(Add32 (Const32 <t> [int64(int32(c*d))]) (Mul32 <t> (Const32 <t> [c]) x))
// Rewrite x*y ± x*z to x*(y±z)
(Add(64|32|16|8) <t> (Mul(64|32|16|8) x y) (Mul(64|32|16|8) x z))
-> (Mul(64|32|16|8) x (Add(64|32|16|8) <t> y z))
(Sub(64|32|16|8) <t> (Mul(64|32|16|8) x y) (Mul(64|32|16|8) x z))
-> (Mul(64|32|16|8) x (Sub(64|32|16|8) <t> y z))
// rewrite shifts of 8/16/32 bit consts into 64 bit consts to reduce
// the number of the other rewrite rules for const shifts
(Lsh64x32 <t> x (Const32 [c])) -> (Lsh64x64 x (Const64 <t> [int64(uint32(c))]))
(Lsh64x16 <t> x (Const16 [c])) -> (Lsh64x64 x (Const64 <t> [int64(uint16(c))]))
(Lsh64x8 <t> x (Const8 [c])) -> (Lsh64x64 x (Const64 <t> [int64(uint8(c))]))
(Rsh64x32 <t> x (Const32 [c])) -> (Rsh64x64 x (Const64 <t> [int64(uint32(c))]))
(Rsh64x16 <t> x (Const16 [c])) -> (Rsh64x64 x (Const64 <t> [int64(uint16(c))]))
(Rsh64x8 <t> x (Const8 [c])) -> (Rsh64x64 x (Const64 <t> [int64(uint8(c))]))
(Rsh64Ux32 <t> x (Const32 [c])) -> (Rsh64Ux64 x (Const64 <t> [int64(uint32(c))]))
(Rsh64Ux16 <t> x (Const16 [c])) -> (Rsh64Ux64 x (Const64 <t> [int64(uint16(c))]))
(Rsh64Ux8 <t> x (Const8 [c])) -> (Rsh64Ux64 x (Const64 <t> [int64(uint8(c))]))
(Lsh32x32 <t> x (Const32 [c])) -> (Lsh32x64 x (Const64 <t> [int64(uint32(c))]))
(Lsh32x16 <t> x (Const16 [c])) -> (Lsh32x64 x (Const64 <t> [int64(uint16(c))]))
(Lsh32x8 <t> x (Const8 [c])) -> (Lsh32x64 x (Const64 <t> [int64(uint8(c))]))
(Rsh32x32 <t> x (Const32 [c])) -> (Rsh32x64 x (Const64 <t> [int64(uint32(c))]))
(Rsh32x16 <t> x (Const16 [c])) -> (Rsh32x64 x (Const64 <t> [int64(uint16(c))]))
(Rsh32x8 <t> x (Const8 [c])) -> (Rsh32x64 x (Const64 <t> [int64(uint8(c))]))
(Rsh32Ux32 <t> x (Const32 [c])) -> (Rsh32Ux64 x (Const64 <t> [int64(uint32(c))]))
(Rsh32Ux16 <t> x (Const16 [c])) -> (Rsh32Ux64 x (Const64 <t> [int64(uint16(c))]))
(Rsh32Ux8 <t> x (Const8 [c])) -> (Rsh32Ux64 x (Const64 <t> [int64(uint8(c))]))
(Lsh16x32 <t> x (Const32 [c])) -> (Lsh16x64 x (Const64 <t> [int64(uint32(c))]))
(Lsh16x16 <t> x (Const16 [c])) -> (Lsh16x64 x (Const64 <t> [int64(uint16(c))]))
(Lsh16x8 <t> x (Const8 [c])) -> (Lsh16x64 x (Const64 <t> [int64(uint8(c))]))
(Rsh16x32 <t> x (Const32 [c])) -> (Rsh16x64 x (Const64 <t> [int64(uint32(c))]))
(Rsh16x16 <t> x (Const16 [c])) -> (Rsh16x64 x (Const64 <t> [int64(uint16(c))]))
(Rsh16x8 <t> x (Const8 [c])) -> (Rsh16x64 x (Const64 <t> [int64(uint8(c))]))
(Rsh16Ux32 <t> x (Const32 [c])) -> (Rsh16Ux64 x (Const64 <t> [int64(uint32(c))]))
(Rsh16Ux16 <t> x (Const16 [c])) -> (Rsh16Ux64 x (Const64 <t> [int64(uint16(c))]))
(Rsh16Ux8 <t> x (Const8 [c])) -> (Rsh16Ux64 x (Const64 <t> [int64(uint8(c))]))
(Lsh8x32 <t> x (Const32 [c])) -> (Lsh8x64 x (Const64 <t> [int64(uint32(c))]))
(Lsh8x16 <t> x (Const16 [c])) -> (Lsh8x64 x (Const64 <t> [int64(uint16(c))]))
(Lsh8x8 <t> x (Const8 [c])) -> (Lsh8x64 x (Const64 <t> [int64(uint8(c))]))
(Rsh8x32 <t> x (Const32 [c])) -> (Rsh8x64 x (Const64 <t> [int64(uint32(c))]))
(Rsh8x16 <t> x (Const16 [c])) -> (Rsh8x64 x (Const64 <t> [int64(uint16(c))]))
(Rsh8x8 <t> x (Const8 [c])) -> (Rsh8x64 x (Const64 <t> [int64(uint8(c))]))
(Rsh8Ux32 <t> x (Const32 [c])) -> (Rsh8Ux64 x (Const64 <t> [int64(uint32(c))]))
(Rsh8Ux16 <t> x (Const16 [c])) -> (Rsh8Ux64 x (Const64 <t> [int64(uint16(c))]))
(Rsh8Ux8 <t> x (Const8 [c])) -> (Rsh8Ux64 x (Const64 <t> [int64(uint8(c))]))
// shifts by zero
(Lsh(64|32|16|8)x64 x (Const64 [0])) -> x
(Rsh(64|32|16|8)x64 x (Const64 [0])) -> x
(Rsh(64|32|16|8)Ux64 x (Const64 [0])) -> x
// zero shifted
(Lsh64x(64|32|16|8) (Const64 [0]) _) -> (Const64 [0])
(Rsh64x(64|32|16|8) (Const64 [0]) _) -> (Const64 [0])
(Rsh64Ux(64|32|16|8) (Const64 [0]) _) -> (Const64 [0])
(Lsh32x(64|32|16|8) (Const32 [0]) _) -> (Const32 [0])
(Rsh32x(64|32|16|8) (Const32 [0]) _) -> (Const32 [0])
(Rsh32Ux(64|32|16|8) (Const32 [0]) _) -> (Const32 [0])
(Lsh16x(64|32|16|8) (Const16 [0]) _) -> (Const16 [0])
(Rsh16x(64|32|16|8) (Const16 [0]) _) -> (Const16 [0])
(Rsh16Ux(64|32|16|8) (Const16 [0]) _) -> (Const16 [0])
(Lsh8x(64|32|16|8) (Const8 [0]) _) -> (Const8 [0])
(Rsh8x(64|32|16|8) (Const8 [0]) _) -> (Const8 [0])
(Rsh8Ux(64|32|16|8) (Const8 [0]) _) -> (Const8 [0])
// large left shifts of all values, and right shifts of unsigned values
((Lsh64|Rsh64U)x64 _ (Const64 [c])) && uint64(c) >= 64 -> (Const64 [0])
((Lsh32|Rsh32U)x64 _ (Const64 [c])) && uint64(c) >= 32 -> (Const32 [0])
((Lsh16|Rsh16U)x64 _ (Const64 [c])) && uint64(c) >= 16 -> (Const16 [0])
((Lsh8|Rsh8U)x64 _ (Const64 [c])) && uint64(c) >= 8 -> (Const8 [0])
// combine const shifts
(Lsh64x64 <t> (Lsh64x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) -> (Lsh64x64 x (Const64 <t> [c+d]))
(Lsh32x64 <t> (Lsh32x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) -> (Lsh32x64 x (Const64 <t> [c+d]))
(Lsh16x64 <t> (Lsh16x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) -> (Lsh16x64 x (Const64 <t> [c+d]))
(Lsh8x64 <t> (Lsh8x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) -> (Lsh8x64 x (Const64 <t> [c+d]))
(Rsh64x64 <t> (Rsh64x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) -> (Rsh64x64 x (Const64 <t> [c+d]))
(Rsh32x64 <t> (Rsh32x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) -> (Rsh32x64 x (Const64 <t> [c+d]))
(Rsh16x64 <t> (Rsh16x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) -> (Rsh16x64 x (Const64 <t> [c+d]))
(Rsh8x64 <t> (Rsh8x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) -> (Rsh8x64 x (Const64 <t> [c+d]))
(Rsh64Ux64 <t> (Rsh64Ux64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) -> (Rsh64Ux64 x (Const64 <t> [c+d]))
(Rsh32Ux64 <t> (Rsh32Ux64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) -> (Rsh32Ux64 x (Const64 <t> [c+d]))
(Rsh16Ux64 <t> (Rsh16Ux64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) -> (Rsh16Ux64 x (Const64 <t> [c+d]))
(Rsh8Ux64 <t> (Rsh8Ux64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) -> (Rsh8Ux64 x (Const64 <t> [c+d]))
// Remove signed right shift before an unsigned right shift that extracts the sign bit.
(Rsh8Ux64 (Rsh8x64 x _) (Const64 <t> [7] )) -> (Rsh8Ux64 x (Const64 <t> [7] ))
(Rsh16Ux64 (Rsh16x64 x _) (Const64 <t> [15])) -> (Rsh16Ux64 x (Const64 <t> [15]))
(Rsh32Ux64 (Rsh32x64 x _) (Const64 <t> [31])) -> (Rsh32Ux64 x (Const64 <t> [31]))
(Rsh64Ux64 (Rsh64x64 x _) (Const64 <t> [63])) -> (Rsh64Ux64 x (Const64 <t> [63]))
// ((x >> c1) << c2) >> c3
(Rsh(64|32|16|8)Ux64 (Lsh(64|32|16|8)x64 (Rsh(64|32|16|8)Ux64 x (Const64 [c1])) (Const64 [c2])) (Const64 [c3]))
&& uint64(c1) >= uint64(c2) && uint64(c3) >= uint64(c2) && !uaddOvf(c1-c2, c3)
-> (Rsh(64|32|16|8)Ux64 x (Const64 <typ.UInt64> [c1-c2+c3]))
// ((x << c1) >> c2) << c3
(Lsh(64|32|16|8)x64 (Rsh(64|32|16|8)Ux64 (Lsh(64|32|16|8)x64 x (Const64 [c1])) (Const64 [c2])) (Const64 [c3]))
&& uint64(c1) >= uint64(c2) && uint64(c3) >= uint64(c2) && !uaddOvf(c1-c2, c3)
-> (Lsh(64|32|16|8)x64 x (Const64 <typ.UInt64> [c1-c2+c3]))
// (x >> c) & uppermask = 0
(And64 (Const64 [m]) (Rsh64Ux64 _ (Const64 [c]))) && c >= 64-ntz(m) -> (Const64 [0])
(And32 (Const32 [m]) (Rsh32Ux64 _ (Const64 [c]))) && c >= 64-ntz(m) -> (Const32 [0])
(And16 (Const16 [m]) (Rsh16Ux64 _ (Const64 [c]))) && c >= 64-ntz(m) -> (Const16 [0])
(And8 (Const8 [m]) (Rsh8Ux64 _ (Const64 [c]))) && c >= 64-ntz(m) -> (Const8 [0])
// (x << c) & lowermask = 0
(And64 (Const64 [m]) (Lsh64x64 _ (Const64 [c]))) && c >= 64-nlz(m) -> (Const64 [0])
(And32 (Const32 [m]) (Lsh32x64 _ (Const64 [c]))) && c >= 64-nlz(m) -> (Const32 [0])
(And16 (Const16 [m]) (Lsh16x64 _ (Const64 [c]))) && c >= 64-nlz(m) -> (Const16 [0])
(And8 (Const8 [m]) (Lsh8x64 _ (Const64 [c]))) && c >= 64-nlz(m) -> (Const8 [0])
// replace shifts with zero extensions
(Rsh16Ux64 (Lsh16x64 x (Const64 [8])) (Const64 [8])) -> (ZeroExt8to16 (Trunc16to8 <typ.UInt8> x))
(Rsh32Ux64 (Lsh32x64 x (Const64 [24])) (Const64 [24])) -> (ZeroExt8to32 (Trunc32to8 <typ.UInt8> x))
(Rsh64Ux64 (Lsh64x64 x (Const64 [56])) (Const64 [56])) -> (ZeroExt8to64 (Trunc64to8 <typ.UInt8> x))
(Rsh32Ux64 (Lsh32x64 x (Const64 [16])) (Const64 [16])) -> (ZeroExt16to32 (Trunc32to16 <typ.UInt16> x))
(Rsh64Ux64 (Lsh64x64 x (Const64 [48])) (Const64 [48])) -> (ZeroExt16to64 (Trunc64to16 <typ.UInt16> x))
(Rsh64Ux64 (Lsh64x64 x (Const64 [32])) (Const64 [32])) -> (ZeroExt32to64 (Trunc64to32 <typ.UInt32> x))
// replace shifts with sign extensions
(Rsh16x64 (Lsh16x64 x (Const64 [8])) (Const64 [8])) -> (SignExt8to16 (Trunc16to8 <typ.Int8> x))
(Rsh32x64 (Lsh32x64 x (Const64 [24])) (Const64 [24])) -> (SignExt8to32 (Trunc32to8 <typ.Int8> x))
(Rsh64x64 (Lsh64x64 x (Const64 [56])) (Const64 [56])) -> (SignExt8to64 (Trunc64to8 <typ.Int8> x))
(Rsh32x64 (Lsh32x64 x (Const64 [16])) (Const64 [16])) -> (SignExt16to32 (Trunc32to16 <typ.Int16> x))
(Rsh64x64 (Lsh64x64 x (Const64 [48])) (Const64 [48])) -> (SignExt16to64 (Trunc64to16 <typ.Int16> x))
(Rsh64x64 (Lsh64x64 x (Const64 [32])) (Const64 [32])) -> (SignExt32to64 (Trunc64to32 <typ.Int32> x))
// constant comparisons
(Eq(64|32|16|8) (Const(64|32|16|8) [c]) (Const(64|32|16|8) [d])) -> (ConstBool [b2i(c == d)])
(Neq(64|32|16|8) (Const(64|32|16|8) [c]) (Const(64|32|16|8) [d])) -> (ConstBool [b2i(c != d)])
(Greater(64|32|16|8) (Const(64|32|16|8) [c]) (Const(64|32|16|8) [d])) -> (ConstBool [b2i(c > d)])
(Geq(64|32|16|8) (Const(64|32|16|8) [c]) (Const(64|32|16|8) [d])) -> (ConstBool [b2i(c >= d)])
(Less(64|32|16|8) (Const(64|32|16|8) [c]) (Const(64|32|16|8) [d])) -> (ConstBool [b2i(c < d)])
(Leq(64|32|16|8) (Const(64|32|16|8) [c]) (Const(64|32|16|8) [d])) -> (ConstBool [b2i(c <= d)])
(Greater64U (Const64 [c]) (Const64 [d])) -> (ConstBool [b2i(uint64(c) > uint64(d))])
(Greater32U (Const32 [c]) (Const32 [d])) -> (ConstBool [b2i(uint32(c) > uint32(d))])
(Greater16U (Const16 [c]) (Const16 [d])) -> (ConstBool [b2i(uint16(c) > uint16(d))])
(Greater8U (Const8 [c]) (Const8 [d])) -> (ConstBool [b2i(uint8(c) > uint8(d))])
(Geq64U (Const64 [c]) (Const64 [d])) -> (ConstBool [b2i(uint64(c) >= uint64(d))])
(Geq32U (Const32 [c]) (Const32 [d])) -> (ConstBool [b2i(uint32(c) >= uint32(d))])
(Geq16U (Const16 [c]) (Const16 [d])) -> (ConstBool [b2i(uint16(c) >= uint16(d))])
(Geq8U (Const8 [c]) (Const8 [d])) -> (ConstBool [b2i(uint8(c) >= uint8(d))])
(Less64U (Const64 [c]) (Const64 [d])) -> (ConstBool [b2i(uint64(c) < uint64(d))])
(Less32U (Const32 [c]) (Const32 [d])) -> (ConstBool [b2i(uint32(c) < uint32(d))])
(Less16U (Const16 [c]) (Const16 [d])) -> (ConstBool [b2i(uint16(c) < uint16(d))])
(Less8U (Const8 [c]) (Const8 [d])) -> (ConstBool [b2i(uint8(c) < uint8(d))])
(Leq64U (Const64 [c]) (Const64 [d])) -> (ConstBool [b2i(uint64(c) <= uint64(d))])
(Leq32U (Const32 [c]) (Const32 [d])) -> (ConstBool [b2i(uint32(c) <= uint32(d))])
(Leq16U (Const16 [c]) (Const16 [d])) -> (ConstBool [b2i(uint16(c) <= uint16(d))])
(Leq8U (Const8 [c]) (Const8 [d])) -> (ConstBool [b2i(uint8(c) <= uint8(d))])
// constant floating point comparisons
(Eq32F (Const32F [c]) (Const32F [d])) -> (ConstBool [b2i(auxTo32F(c) == auxTo32F(d))])
(Eq64F (Const64F [c]) (Const64F [d])) -> (ConstBool [b2i(auxTo64F(c) == auxTo64F(d))])
(Neq32F (Const32F [c]) (Const32F [d])) -> (ConstBool [b2i(auxTo32F(c) != auxTo32F(d))])
(Neq64F (Const64F [c]) (Const64F [d])) -> (ConstBool [b2i(auxTo64F(c) != auxTo64F(d))])
(Greater32F (Const32F [c]) (Const32F [d])) -> (ConstBool [b2i(auxTo32F(c) > auxTo32F(d))])
(Greater64F (Const64F [c]) (Const64F [d])) -> (ConstBool [b2i(auxTo64F(c) > auxTo64F(d))])
(Geq32F (Const32F [c]) (Const32F [d])) -> (ConstBool [b2i(auxTo32F(c) >= auxTo32F(d))])
(Geq64F (Const64F [c]) (Const64F [d])) -> (ConstBool [b2i(auxTo64F(c) >= auxTo64F(d))])
(Less32F (Const32F [c]) (Const32F [d])) -> (ConstBool [b2i(auxTo32F(c) < auxTo32F(d))])
(Less64F (Const64F [c]) (Const64F [d])) -> (ConstBool [b2i(auxTo64F(c) < auxTo64F(d))])
(Leq32F (Const32F [c]) (Const32F [d])) -> (ConstBool [b2i(auxTo32F(c) <= auxTo32F(d))])
(Leq64F (Const64F [c]) (Const64F [d])) -> (ConstBool [b2i(auxTo64F(c) <= auxTo64F(d))])
// simplifications
(Or(64|32|16|8) x x) -> x
(Or(64|32|16|8) (Const(64|32|16|8) [0]) x) -> x
(Or(64|32|16|8) (Const(64|32|16|8) [-1]) _) -> (Const(64|32|16|8) [-1])
(And(64|32|16|8) x x) -> x
(And(64|32|16|8) (Const(64|32|16|8) [-1]) x) -> x
(And(64|32|16|8) (Const(64|32|16|8) [0]) _) -> (Const(64|32|16|8) [0])
(Xor(64|32|16|8) x x) -> (Const(64|32|16|8) [0])
(Xor(64|32|16|8) (Const(64|32|16|8) [0]) x) -> x
(Add(64|32|16|8) (Const(64|32|16|8) [0]) x) -> x
(Sub(64|32|16|8) x x) -> (Const(64|32|16|8) [0])
(Mul(64|32|16|8) (Const(64|32|16|8) [0]) _) -> (Const(64|32|16|8) [0])
(Com(64|32|16|8) (Com(64|32|16|8) x)) -> x
(Com(64|32|16|8) (Const(64|32|16|8) [c])) -> (Const(64|32|16|8) [^c])
(Neg(64|32|16|8) (Sub(64|32|16|8) x y)) -> (Sub(64|32|16|8) y x)
(Add(64|32|16|8) (Const(64|32|16|8) [1]) (Com(64|32|16|8) x)) -> (Neg(64|32|16|8) x)
(And(64|32|16|8) x (And(64|32|16|8) x y)) -> (And(64|32|16|8) x y)
(Or(64|32|16|8) x (Or(64|32|16|8) x y)) -> (Or(64|32|16|8) x y)
(Xor(64|32|16|8) x (Xor(64|32|16|8) x y)) -> y
// Ands clear bits. Ors set bits.
// If a subsequent Or will set all the bits
// that an And cleared, we can skip the And.
// This happens in bitmasking code like:
// x &^= 3 << shift // clear two old bits
// x |= v << shift // set two new bits
// when shift is a small constant and v ends up a constant 3.
(Or8 (And8 x (Const8 [c2])) (Const8 <t> [c1])) && ^(c1 | c2) == 0 -> (Or8 (Const8 <t> [c1]) x)
(Or16 (And16 x (Const16 [c2])) (Const16 <t> [c1])) && ^(c1 | c2) == 0 -> (Or16 (Const16 <t> [c1]) x)
(Or32 (And32 x (Const32 [c2])) (Const32 <t> [c1])) && ^(c1 | c2) == 0 -> (Or32 (Const32 <t> [c1]) x)
(Or64 (And64 x (Const64 [c2])) (Const64 <t> [c1])) && ^(c1 | c2) == 0 -> (Or64 (Const64 <t> [c1]) x)
(Trunc64to8 (And64 (Const64 [y]) x)) && y&0xFF == 0xFF -> (Trunc64to8 x)
(Trunc64to16 (And64 (Const64 [y]) x)) && y&0xFFFF == 0xFFFF -> (Trunc64to16 x)
(Trunc64to32 (And64 (Const64 [y]) x)) && y&0xFFFFFFFF == 0xFFFFFFFF -> (Trunc64to32 x)
(Trunc32to8 (And32 (Const32 [y]) x)) && y&0xFF == 0xFF -> (Trunc32to8 x)
(Trunc32to16 (And32 (Const32 [y]) x)) && y&0xFFFF == 0xFFFF -> (Trunc32to16 x)
(Trunc16to8 (And16 (Const16 [y]) x)) && y&0xFF == 0xFF -> (Trunc16to8 x)
(ZeroExt8to64 (Trunc64to8 x:(Rsh64Ux64 _ (Const64 [s])))) && s >= 56 -> x
(ZeroExt16to64 (Trunc64to16 x:(Rsh64Ux64 _ (Const64 [s])))) && s >= 48 -> x
(ZeroExt32to64 (Trunc64to32 x:(Rsh64Ux64 _ (Const64 [s])))) && s >= 32 -> x
(ZeroExt8to32 (Trunc32to8 x:(Rsh32Ux64 _ (Const64 [s])))) && s >= 24 -> x
(ZeroExt16to32 (Trunc32to16 x:(Rsh32Ux64 _ (Const64 [s])))) && s >= 16 -> x
(ZeroExt8to16 (Trunc16to8 x:(Rsh16Ux64 _ (Const64 [s])))) && s >= 8 -> x
(SignExt8to64 (Trunc64to8 x:(Rsh64x64 _ (Const64 [s])))) && s >= 56 -> x
(SignExt16to64 (Trunc64to16 x:(Rsh64x64 _ (Const64 [s])))) && s >= 48 -> x
(SignExt32to64 (Trunc64to32 x:(Rsh64x64 _ (Const64 [s])))) && s >= 32 -> x
(SignExt8to32 (Trunc32to8 x:(Rsh32x64 _ (Const64 [s])))) && s >= 24 -> x
(SignExt16to32 (Trunc32to16 x:(Rsh32x64 _ (Const64 [s])))) && s >= 16 -> x
(SignExt8to16 (Trunc16to8 x:(Rsh16x64 _ (Const64 [s])))) && s >= 8 -> x
(Slicemask (Const32 [x])) && x > 0 -> (Const32 [-1])
(Slicemask (Const32 [0])) -> (Const32 [0])
(Slicemask (Const64 [x])) && x > 0 -> (Const64 [-1])
(Slicemask (Const64 [0])) -> (Const64 [0])
// Rewrite AND of consts as shifts if possible, slightly faster for 64 bit operands
// leading zeros can be shifted left, then right
(And64 <t> (Const64 [y]) x) && nlz(y) + nto(y) == 64 && nto(y) >= 32
-> (Rsh64Ux64 (Lsh64x64 <t> x (Const64 <t> [nlz(y)])) (Const64 <t> [nlz(y)]))
// trailing zeros can be shifted right, then left
(And64 <t> (Const64 [y]) x) && nlo(y) + ntz(y) == 64 && ntz(y) >= 32
-> (Lsh64x64 (Rsh64Ux64 <t> x (Const64 <t> [ntz(y)])) (Const64 <t> [ntz(y)]))
// simplifications often used for lengths. e.g. len(s[i:i+5])==5
(Sub(64|32|16|8) (Add(64|32|16|8) x y) x) -> y
(Sub(64|32|16|8) (Add(64|32|16|8) x y) y) -> x
// basic phi simplifications
(Phi (Const8 [c]) (Const8 [c])) -> (Const8 [c])
(Phi (Const16 [c]) (Const16 [c])) -> (Const16 [c])
(Phi (Const32 [c]) (Const32 [c])) -> (Const32 [c])
(Phi (Const64 [c]) (Const64 [c])) -> (Const64 [c])
// slice and interface comparisons
// The frontend ensures that we can only compare against nil,
// so we need only compare the first word (interface type or slice ptr).
(EqInter x y) -> (EqPtr (ITab x) (ITab y))
(NeqInter x y) -> (NeqPtr (ITab x) (ITab y))
(EqSlice x y) -> (EqPtr (SlicePtr x) (SlicePtr y))
(NeqSlice x y) -> (NeqPtr (SlicePtr x) (SlicePtr y))
// Load of store of same address, with compatibly typed value and same size
(Load <t1> p1 (Store {t2} p2 x _))
&& isSamePtr(p1, p2)
&& t1.Compare(x.Type) == types.CMPeq
&& t1.Size() == sizeof(t2)
-> x
(Load <t1> p1 (Store {t2} p2 _ (Store {t3} p3 x _)))
&& isSamePtr(p1, p3)
&& t1.Compare(x.Type) == types.CMPeq
&& t1.Size() == sizeof(t2)
&& disjoint(p3, sizeof(t3), p2, sizeof(t2))
-> x
(Load <t1> p1 (Store {t2} p2 _ (Store {t3} p3 _ (Store {t4} p4 x _))))
&& isSamePtr(p1, p4)
&& t1.Compare(x.Type) == types.CMPeq
&& t1.Size() == sizeof(t2)
&& disjoint(p4, sizeof(t4), p2, sizeof(t2))
&& disjoint(p4, sizeof(t4), p3, sizeof(t3))
-> x
(Load <t1> p1 (Store {t2} p2 _ (Store {t3} p3 _ (Store {t4} p4 _ (Store {t5} p5 x _)))))
&& isSamePtr(p1, p5)
&& t1.Compare(x.Type) == types.CMPeq
&& t1.Size() == sizeof(t2)
&& disjoint(p5, sizeof(t5), p2, sizeof(t2))
&& disjoint(p5, sizeof(t5), p3, sizeof(t3))
&& disjoint(p5, sizeof(t5), p4, sizeof(t4))
-> x
// Pass constants through math.Float{32,64}bits and math.Float{32,64}frombits
(Load <t1> p1 (Store {t2} p2 (Const64 [x]) _)) && isSamePtr(p1,p2) && sizeof(t2) == 8 && is64BitFloat(t1) -> (Const64F [x])
(Load <t1> p1 (Store {t2} p2 (Const32 [x]) _)) && isSamePtr(p1,p2) && sizeof(t2) == 4 && is32BitFloat(t1) -> (Const32F [auxFrom32F(math.Float32frombits(uint32(x)))])
(Load <t1> p1 (Store {t2} p2 (Const64F [x]) _)) && isSamePtr(p1,p2) && sizeof(t2) == 8 && is64BitInt(t1) -> (Const64 [x])
(Load <t1> p1 (Store {t2} p2 (Const32F [x]) _)) && isSamePtr(p1,p2) && sizeof(t2) == 4 && is32BitInt(t1) -> (Const32 [int64(int32(math.Float32bits(auxTo32F(x))))])
// Float Loads up to Zeros so they can be constant folded.
(Load <t1> op:(OffPtr [o1] p1)
(Store {t2} p2 _
mem:(Zero [n] p3 _)))
&& o1 >= 0 && o1+t1.Size() <= n && isSamePtr(p1, p3)
&& fe.CanSSA(t1)
&& disjoint(op, t1.Size(), p2, sizeof(t2))
-> @mem.Block (Load <t1> (OffPtr <op.Type> [o1] p3) mem)
(Load <t1> op:(OffPtr [o1] p1)
(Store {t2} p2 _
(Store {t3} p3 _
mem:(Zero [n] p4 _))))
&& o1 >= 0 && o1+t1.Size() <= n && isSamePtr(p1, p4)
&& fe.CanSSA(t1)
&& disjoint(op, t1.Size(), p2, sizeof(t2))
&& disjoint(op, t1.Size(), p3, sizeof(t3))
-> @mem.Block (Load <t1> (OffPtr <op.Type> [o1] p4) mem)
(Load <t1> op:(OffPtr [o1] p1)
(Store {t2} p2 _
(Store {t3} p3 _
(Store {t4} p4 _
mem:(Zero [n] p5 _)))))
&& o1 >= 0 && o1+t1.Size() <= n && isSamePtr(p1, p5)
&& fe.CanSSA(t1)
&& disjoint(op, t1.Size(), p2, sizeof(t2))
&& disjoint(op, t1.Size(), p3, sizeof(t3))
&& disjoint(op, t1.Size(), p4, sizeof(t4))
-> @mem.Block (Load <t1> (OffPtr <op.Type> [o1] p5) mem)
(Load <t1> op:(OffPtr [o1] p1)
(Store {t2} p2 _
(Store {t3} p3 _
(Store {t4} p4 _
(Store {t5} p5 _
mem:(Zero [n] p6 _))))))
&& o1 >= 0 && o1+t1.Size() <= n && isSamePtr(p1, p6)
&& fe.CanSSA(t1)
&& disjoint(op, t1.Size(), p2, sizeof(t2))
&& disjoint(op, t1.Size(), p3, sizeof(t3))
&& disjoint(op, t1.Size(), p4, sizeof(t4))
&& disjoint(op, t1.Size(), p5, sizeof(t5))
-> @mem.Block (Load <t1> (OffPtr <op.Type> [o1] p6) mem)
// Zero to Load forwarding.
(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
&& t1.IsBoolean()
&& isSamePtr(p1, p2)
&& n >= o + 1
-> (ConstBool [0])
(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
&& is8BitInt(t1)
&& isSamePtr(p1, p2)
&& n >= o + 1
-> (Const8 [0])
(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
&& is16BitInt(t1)
&& isSamePtr(p1, p2)
&& n >= o + 2
-> (Const16 [0])
(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
&& is32BitInt(t1)
&& isSamePtr(p1, p2)
&& n >= o + 4
-> (Const32 [0])
(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
&& is64BitInt(t1)
&& isSamePtr(p1, p2)
&& n >= o + 8
-> (Const64 [0])
(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
&& is32BitFloat(t1)
&& isSamePtr(p1, p2)
&& n >= o + 4
-> (Const32F [0])
(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
&& is64BitFloat(t1)
&& isSamePtr(p1, p2)
&& n >= o + 8
-> (Const64F [0])
// Eliminate stores of values that have just been loaded from the same location.
// We also handle the common case where there are some intermediate stores.
(Store {t1} p1 (Load <t2> p2 mem) mem)
&& isSamePtr(p1, p2)
&& t2.Size() == sizeof(t1)
-> mem
(Store {t1} p1 (Load <t2> p2 oldmem) mem:(Store {t3} p3 _ oldmem))
&& isSamePtr(p1, p2)
&& t2.Size() == sizeof(t1)
&& disjoint(p1, sizeof(t1), p3, sizeof(t3))
-> mem
(Store {t1} p1 (Load <t2> p2 oldmem) mem:(Store {t3} p3 _ (Store {t4} p4 _ oldmem)))
&& isSamePtr(p1, p2)
&& t2.Size() == sizeof(t1)
&& disjoint(p1, sizeof(t1), p3, sizeof(t3))
&& disjoint(p1, sizeof(t1), p4, sizeof(t4))
-> mem
(Store {t1} p1 (Load <t2> p2 oldmem) mem:(Store {t3} p3 _ (Store {t4} p4 _ (Store {t5} p5 _ oldmem))))
&& isSamePtr(p1, p2)
&& t2.Size() == sizeof(t1)
&& disjoint(p1, sizeof(t1), p3, sizeof(t3))
&& disjoint(p1, sizeof(t1), p4, sizeof(t4))
&& disjoint(p1, sizeof(t1), p5, sizeof(t5))
-> mem
// Don't Store zeros to cleared variables.
(Store {t} (OffPtr [o] p1) x mem:(Zero [n] p2 _))
&& isConstZero(x)
&& o >= 0 && sizeof(t) + o <= n && isSamePtr(p1, p2)
-> mem
(Store {t1} op:(OffPtr [o1] p1) x mem:(Store {t2} p2 _ (Zero [n] p3 _)))
&& isConstZero(x)
&& o1 >= 0 && sizeof(t1) + o1 <= n && isSamePtr(p1, p3)
&& disjoint(op, sizeof(t1), p2, sizeof(t2))
-> mem
(Store {t1} op:(OffPtr [o1] p1) x mem:(Store {t2} p2 _ (Store {t3} p3 _ (Zero [n] p4 _))))
&& isConstZero(x)
&& o1 >= 0 && sizeof(t1) + o1 <= n && isSamePtr(p1, p4)
&& disjoint(op, sizeof(t1), p2, sizeof(t2))
&& disjoint(op, sizeof(t1), p3, sizeof(t3))
-> mem
(Store {t1} op:(OffPtr [o1] p1) x mem:(Store {t2} p2 _ (Store {t3} p3 _ (Store {t4} p4 _ (Zero [n] p5 _)))))
&& isConstZero(x)
&& o1 >= 0 && sizeof(t1) + o1 <= n && isSamePtr(p1, p5)
&& disjoint(op, sizeof(t1), p2, sizeof(t2))
&& disjoint(op, sizeof(t1), p3, sizeof(t3))
&& disjoint(op, sizeof(t1), p4, sizeof(t4))
-> mem
// Collapse OffPtr
(OffPtr (OffPtr p [b]) [a]) -> (OffPtr p [a+b])
(OffPtr p [0]) && v.Type.Compare(p.Type) == types.CMPeq -> p
// indexing operations
// Note: bounds check has already been done
(PtrIndex <t> ptr idx) && config.PtrSize == 4 -> (AddPtr ptr (Mul32 <typ.Int> idx (Const32 <typ.Int> [t.Elem().Size()])))
(PtrIndex <t> ptr idx) && config.PtrSize == 8 -> (AddPtr ptr (Mul64 <typ.Int> idx (Const64 <typ.Int> [t.Elem().Size()])))
// struct operations
(StructSelect (StructMake1 x)) -> x
(StructSelect [0] (StructMake2 x _)) -> x
(StructSelect [1] (StructMake2 _ x)) -> x
(StructSelect [0] (StructMake3 x _ _)) -> x
(StructSelect [1] (StructMake3 _ x _)) -> x
(StructSelect [2] (StructMake3 _ _ x)) -> x
(StructSelect [0] (StructMake4 x _ _ _)) -> x
(StructSelect [1] (StructMake4 _ x _ _)) -> x
(StructSelect [2] (StructMake4 _ _ x _)) -> x
(StructSelect [3] (StructMake4 _ _ _ x)) -> x
(Load <t> _ _) && t.IsStruct() && t.NumFields() == 0 && fe.CanSSA(t) ->
(StructMake0)
(Load <t> ptr mem) && t.IsStruct() && t.NumFields() == 1 && fe.CanSSA(t) ->
(StructMake1
(Load <t.FieldType(0)> (OffPtr <t.FieldType(0).PtrTo()> [0] ptr) mem))
(Load <t> ptr mem) && t.IsStruct() && t.NumFields() == 2 && fe.CanSSA(t) ->
(StructMake2
(Load <t.FieldType(0)> (OffPtr <t.FieldType(0).PtrTo()> [0] ptr) mem)
(Load <t.FieldType(1)> (OffPtr <t.FieldType(1).PtrTo()> [t.FieldOff(1)] ptr) mem))
(Load <t> ptr mem) && t.IsStruct() && t.NumFields() == 3 && fe.CanSSA(t) ->
(StructMake3
(Load <t.FieldType(0)> (OffPtr <t.FieldType(0).PtrTo()> [0] ptr) mem)
(Load <t.FieldType(1)> (OffPtr <t.FieldType(1).PtrTo()> [t.FieldOff(1)] ptr) mem)
(Load <t.FieldType(2)> (OffPtr <t.FieldType(2).PtrTo()> [t.FieldOff(2)] ptr) mem))
(Load <t> ptr mem) && t.IsStruct() && t.NumFields() == 4 && fe.CanSSA(t) ->
(StructMake4
(Load <t.FieldType(0)> (OffPtr <t.FieldType(0).PtrTo()> [0] ptr) mem)
(Load <t.FieldType(1)> (OffPtr <t.FieldType(1).PtrTo()> [t.FieldOff(1)] ptr) mem)
(Load <t.FieldType(2)> (OffPtr <t.FieldType(2).PtrTo()> [t.FieldOff(2)] ptr) mem)
(Load <t.FieldType(3)> (OffPtr <t.FieldType(3).PtrTo()> [t.FieldOff(3)] ptr) mem))
(StructSelect [i] x:(Load <t> ptr mem)) && !fe.CanSSA(t) ->
@x.Block (Load <v.Type> (OffPtr <v.Type.PtrTo()> [t.FieldOff(int(i))] ptr) mem)
(Store _ (StructMake0) mem) -> mem
(Store dst (StructMake1 <t> f0) mem) ->
(Store {t.FieldType(0)} (OffPtr <t.FieldType(0).PtrTo()> [0] dst) f0 mem)
(Store dst (StructMake2 <t> f0 f1) mem) ->
(Store {t.FieldType(1)}
(OffPtr <t.FieldType(1).PtrTo()> [t.FieldOff(1)] dst)
f1
(Store {t.FieldType(0)}
(OffPtr <t.FieldType(0).PtrTo()> [0] dst)
f0 mem))
(Store dst (StructMake3 <t> f0 f1 f2) mem) ->
(Store {t.FieldType(2)}
(OffPtr <t.FieldType(2).PtrTo()> [t.FieldOff(2)] dst)
f2
(Store {t.FieldType(1)}
(OffPtr <t.FieldType(1).PtrTo()> [t.FieldOff(1)] dst)
f1
(Store {t.FieldType(0)}
(OffPtr <t.FieldType(0).PtrTo()> [0] dst)
f0 mem)))
(Store dst (StructMake4 <t> f0 f1 f2 f3) mem) ->
(Store {t.FieldType(3)}
(OffPtr <t.FieldType(3).PtrTo()> [t.FieldOff(3)] dst)
f3
(Store {t.FieldType(2)}
(OffPtr <t.FieldType(2).PtrTo()> [t.FieldOff(2)] dst)
f2
(Store {t.FieldType(1)}
(OffPtr <t.FieldType(1).PtrTo()> [t.FieldOff(1)] dst)
f1
(Store {t.FieldType(0)}
(OffPtr <t.FieldType(0).PtrTo()> [0] dst)
f0 mem))))
// Putting struct{*byte} and similar into direct interfaces.
(IMake typ (StructMake1 val)) -> (IMake typ val)
(StructSelect [0] x:(IData _)) -> x
// un-SSAable values use mem->mem copies
(Store {t} dst (Load src mem) mem) && !fe.CanSSA(t.(*types.Type)) ->
(Move {t} [sizeof(t)] dst src mem)
(Store {t} dst (Load src mem) (VarDef {x} mem)) && !fe.CanSSA(t.(*types.Type)) ->
(Move {t} [sizeof(t)] dst src (VarDef {x} mem))
// array ops
(ArraySelect (ArrayMake1 x)) -> x
(Load <t> _ _) && t.IsArray() && t.NumElem() == 0 ->
(ArrayMake0)
(Load <t> ptr mem) && t.IsArray() && t.NumElem() == 1 && fe.CanSSA(t) ->
(ArrayMake1 (Load <t.Elem()> ptr mem))
(Store _ (ArrayMake0) mem) -> mem
(Store dst (ArrayMake1 e) mem) -> (Store {e.Type} dst e mem)
// Putting [1]{*byte} and similar into direct interfaces.
(IMake typ (ArrayMake1 val)) -> (IMake typ val)
(ArraySelect [0] x:(IData _)) -> x
// string ops
// Decomposing StringMake and lowering of StringPtr and StringLen
// happens in a later pass, dec, so that these operations are available
// to other passes for optimizations.
(StringPtr (StringMake (Addr <t> {s} base) _)) -> (Addr <t> {s} base)
(StringLen (StringMake _ (Const64 <t> [c]))) -> (Const64 <t> [c])
(ConstString {s}) && config.PtrSize == 4 && s.(string) == "" ->
(StringMake (ConstNil) (Const32 <typ.Int> [0]))
(ConstString {s}) && config.PtrSize == 8 && s.(string) == "" ->
(StringMake (ConstNil) (Const64 <typ.Int> [0]))
(ConstString {s}) && config.PtrSize == 4 && s.(string) != "" ->
(StringMake
(Addr <typ.BytePtr> {fe.StringData(s.(string))}
(SB))
(Const32 <typ.Int> [int64(len(s.(string)))]))
(ConstString {s}) && config.PtrSize == 8 && s.(string) != "" ->
(StringMake
(Addr <typ.BytePtr> {fe.StringData(s.(string))}
(SB))
(Const64 <typ.Int> [int64(len(s.(string)))]))
// slice ops
// Only a few slice rules are provided here. See dec.rules for
// a more comprehensive set.
(SliceLen (SliceMake _ (Const64 <t> [c]) _)) -> (Const64 <t> [c])
(SliceCap (SliceMake _ _ (Const64 <t> [c]))) -> (Const64 <t> [c])
(SliceLen (SliceMake _ (Const32 <t> [c]) _)) -> (Const32 <t> [c])
(SliceCap (SliceMake _ _ (Const32 <t> [c]))) -> (Const32 <t> [c])
(SlicePtr (SliceMake (SlicePtr x) _ _)) -> (SlicePtr x)
(SliceLen (SliceMake _ (SliceLen x) _)) -> (SliceLen x)
(SliceCap (SliceMake _ _ (SliceCap x))) -> (SliceCap x)
(SliceCap (SliceMake _ _ (SliceLen x))) -> (SliceLen x)
(ConstSlice) && config.PtrSize == 4 ->
(SliceMake
(ConstNil <v.Type.Elem().PtrTo()>)
(Const32 <typ.Int> [0])
(Const32 <typ.Int> [0]))
(ConstSlice) && config.PtrSize == 8 ->
(SliceMake
(ConstNil <v.Type.Elem().PtrTo()>)
(Const64 <typ.Int> [0])
(Const64 <typ.Int> [0]))
// interface ops
(ConstInterface) ->
(IMake
(ConstNil <typ.Uintptr>)
(ConstNil <typ.BytePtr>))
(NilCheck (GetG mem) mem) -> mem
(If (Not cond) yes no) -> (If cond no yes)
(If (ConstBool [c]) yes no) && c == 1 -> (First nil yes no)
(If (ConstBool [c]) yes no) && c == 0 -> (First nil no yes)
// Get rid of Convert ops for pointer arithmetic on unsafe.Pointer.
(Convert (Add(64|32) (Convert ptr mem) off) mem) -> (Add(64|32) ptr off)
(Convert (Convert ptr mem) mem) -> ptr
// strength reduction of divide by a constant.
// See ../magic.go for a detailed description of these algorithms.
// Unsigned divide by power of 2. Strength reduce to a shift.
(Div8u n (Const8 [c])) && isPowerOfTwo(c&0xff) -> (Rsh8Ux64 n (Const64 <typ.UInt64> [log2(c&0xff)]))
(Div16u n (Const16 [c])) && isPowerOfTwo(c&0xffff) -> (Rsh16Ux64 n (Const64 <typ.UInt64> [log2(c&0xffff)]))
(Div32u n (Const32 [c])) && isPowerOfTwo(c&0xffffffff) -> (Rsh32Ux64 n (Const64 <typ.UInt64> [log2(c&0xffffffff)]))
(Div64u n (Const64 [c])) && isPowerOfTwo(c) -> (Rsh64Ux64 n (Const64 <typ.UInt64> [log2(c)]))
(Div64u n (Const64 [-1<<63])) -> (Rsh64Ux64 n (Const64 <typ.UInt64> [63]))
// Signed non-negative divide by power of 2.
(Div8 n (Const8 [c])) && isNonNegative(n) && isPowerOfTwo(c&0xff) -> (Rsh8Ux64 n (Const64 <typ.UInt64> [log2(c&0xff)]))
(Div16 n (Const16 [c])) && isNonNegative(n) && isPowerOfTwo(c&0xffff) -> (Rsh16Ux64 n (Const64 <typ.UInt64> [log2(c&0xffff)]))
(Div32 n (Const32 [c])) && isNonNegative(n) && isPowerOfTwo(c&0xffffffff) -> (Rsh32Ux64 n (Const64 <typ.UInt64> [log2(c&0xffffffff)]))
(Div64 n (Const64 [c])) && isNonNegative(n) && isPowerOfTwo(c) -> (Rsh64Ux64 n (Const64 <typ.UInt64> [log2(c)]))
(Div64 n (Const64 [-1<<63])) && isNonNegative(n) -> (Const64 [0])
// Unsigned divide, not a power of 2. Strength reduce to a multiply.
// For 8-bit divides, we just do a direct 9-bit by 8-bit multiply.
(Div8u x (Const8 [c])) && umagicOK(8, c) ->
(Trunc32to8
(Rsh32Ux64 <typ.UInt32>
(Mul32 <typ.UInt32>
(Const32 <typ.UInt32> [int64(1<<8+umagic(8,c).m)])
(ZeroExt8to32 x))
(Const64 <typ.UInt64> [8+umagic(8,c).s])))
// For 16-bit divides on 64-bit machines, we do a direct 17-bit by 16-bit multiply.
(Div16u x (Const16 [c])) && umagicOK(16, c) && config.RegSize == 8 ->
(Trunc64to16
(Rsh64Ux64 <typ.UInt64>
(Mul64 <typ.UInt64>
(Const64 <typ.UInt64> [int64(1<<16+umagic(16,c).m)])
(ZeroExt16to64 x))
(Const64 <typ.UInt64> [16+umagic(16,c).s])))
// For 16-bit divides on 32-bit machines
(Div16u x (Const16 [c])) && umagicOK(16, c) && config.RegSize == 4 && umagic(16,c).m&1 == 0 ->
(Trunc32to16
(Rsh32Ux64 <typ.UInt32>
(Mul32 <typ.UInt32>
(Const32 <typ.UInt32> [int64(1<<15+umagic(16,c).m/2)])
(ZeroExt16to32 x))
(Const64 <typ.UInt64> [16+umagic(16,c).s-1])))
(Div16u x (Const16 [c])) && umagicOK(16, c) && config.RegSize == 4 && c&1 == 0 ->
(Trunc32to16
(Rsh32Ux64 <typ.UInt32>
(Mul32 <typ.UInt32>
(Const32 <typ.UInt32> [int64(1<<15+(umagic(16,c).m+1)/2)])
(Rsh32Ux64 <typ.UInt32> (ZeroExt16to32 x) (Const64 <typ.UInt64> [1])))
(Const64 <typ.UInt64> [16+umagic(16,c).s-2])))
(Div16u x (Const16 [c])) && umagicOK(16, c) && config.RegSize == 4 && config.useAvg ->
(Trunc32to16
(Rsh32Ux64 <typ.UInt32>
(Avg32u
(Lsh32x64 <typ.UInt32> (ZeroExt16to32 x) (Const64 <typ.UInt64> [16]))
(Mul32 <typ.UInt32>
(Const32 <typ.UInt32> [int64(umagic(16,c).m)])
(ZeroExt16to32 x)))
(Const64 <typ.UInt64> [16+umagic(16,c).s-1])))
// For 32-bit divides on 32-bit machines
(Div32u x (Const32 [c])) && umagicOK(32, c) && config.RegSize == 4 && umagic(32,c).m&1 == 0 && config.useHmul ->
(Rsh32Ux64 <typ.UInt32>
(Hmul32u <typ.UInt32>
(Const32 <typ.UInt32> [int64(int32(1<<31+umagic(32,c).m/2))])
x)
(Const64 <typ.UInt64> [umagic(32,c).s-1]))
(Div32u x (Const32 [c])) && umagicOK(32, c) && config.RegSize == 4 && c&1 == 0 && config.useHmul ->
(Rsh32Ux64 <typ.UInt32>
(Hmul32u <typ.UInt32>
(Const32 <typ.UInt32> [int64(int32(1<<31+(umagic(32,c).m+1)/2))])
(Rsh32Ux64 <typ.UInt32> x (Const64 <typ.UInt64> [1])))
(Const64 <typ.UInt64> [umagic(32,c).s-2]))
(Div32u x (Const32 [c])) && umagicOK(32, c) && config.RegSize == 4 && config.useAvg && config.useHmul ->
(Rsh32Ux64 <typ.UInt32>
(Avg32u
x
(Hmul32u <typ.UInt32>
(Const32 <typ.UInt32> [int64(int32(umagic(32,c).m))])
x))
(Const64 <typ.UInt64> [umagic(32,c).s-1]))
// For 32-bit divides on 64-bit machines
// We'll use a regular (non-hi) multiply for this case.
(Div32u x (Const32 [c])) && umagicOK(32, c) && config.RegSize == 8 && umagic(32,c).m&1 == 0 ->
(Trunc64to32
(Rsh64Ux64 <typ.UInt64>
(Mul64 <typ.UInt64>
(Const64 <typ.UInt64> [int64(1<<31+umagic(32,c).m/2)])
(ZeroExt32to64 x))
(Const64 <typ.UInt64> [32+umagic(32,c).s-1])))
(Div32u x (Const32 [c])) && umagicOK(32, c) && config.RegSize == 8 && c&1 == 0 ->
(Trunc64to32
(Rsh64Ux64 <typ.UInt64>
(Mul64 <typ.UInt64>
(Const64 <typ.UInt64> [int64(1<<31+(umagic(32,c).m+1)/2)])
(Rsh64Ux64 <typ.UInt64> (ZeroExt32to64 x) (Const64 <typ.UInt64> [1])))
(Const64 <typ.UInt64> [32+umagic(32,c).s-2])))
(Div32u x (Const32 [c])) && umagicOK(32, c) && config.RegSize == 8 && config.useAvg ->
(Trunc64to32
(Rsh64Ux64 <typ.UInt64>
(Avg64u
(Lsh64x64 <typ.UInt64> (ZeroExt32to64 x) (Const64 <typ.UInt64> [32]))
(Mul64 <typ.UInt64>
(Const64 <typ.UInt32> [int64(umagic(32,c).m)])
(ZeroExt32to64 x)))
(Const64 <typ.UInt64> [32+umagic(32,c).s-1])))
// For 64-bit divides on 64-bit machines
// (64-bit divides on 32-bit machines are lowered to a runtime call by the walk pass.)
(Div64u x (Const64 [c])) && umagicOK(64, c) && config.RegSize == 8 && umagic(64,c).m&1 == 0 && config.useHmul ->
(Rsh64Ux64 <typ.UInt64>
(Hmul64u <typ.UInt64>
(Const64 <typ.UInt64> [int64(1<<63+umagic(64,c).m/2)])
x)
(Const64 <typ.UInt64> [umagic(64,c).s-1]))
(Div64u x (Const64 [c])) && umagicOK(64, c) && config.RegSize == 8 && c&1 == 0 && config.useHmul ->
(Rsh64Ux64 <typ.UInt64>
(Hmul64u <typ.UInt64>
(Const64 <typ.UInt64> [int64(1<<63+(umagic(64,c).m+1)/2)])
(Rsh64Ux64 <typ.UInt64> x (Const64 <typ.UInt64> [1])))
(Const64 <typ.UInt64> [umagic(64,c).s-2]))
(Div64u x (Const64 [c])) && umagicOK(64, c) && config.RegSize == 8 && config.useAvg && config.useHmul ->
(Rsh64Ux64 <typ.UInt64>
(Avg64u
x