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go / go / refs/heads/dev.debug / . / src / cmd / compile / internal / ssa / gen / 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 [f2i(float64(i2f32(c)))])
(Cvt32Fto64F (Const32F [c])) -> (Const64F [c]) // c is already a 64 bit float
(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])) && i2f(c) != 0 -> (Const32F [f2i(-i2f(c))])
(Neg64F (Const64F [c])) && i2f(c) != 0 -> (Const64F [f2i(-i2f(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 [f2i(float64(i2f32(c) + i2f32(d)))]) // ensure we combine the operands with 32 bit precision
(Add64F (Const64F [c]) (Const64F [d])) -> (Const64F [f2i(i2f(c) + i2f(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 [f2i(float64(i2f32(c) - i2f32(d)))])
(Sub64F (Const64F [c]) (Const64F [d])) -> (Const64F [f2i(i2f(c) - i2f(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 [f2i(float64(i2f32(c) * i2f32(d)))])
(Mul64F (Const64F [c]) (Const64F [d])) -> (Const64F [f2i(i2f(c) * i2f(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 [f2i(float64(i2f32(c) / i2f32(d)))])
(Div64F (Const64F [c]) (Const64F [d])) -> (Const64F [f2i(i2f(c) / i2f(d))])
// Convert x * 1 to x.
(Mul8 (Const8 [1]) x) -> x
(Mul16 (Const16 [1]) x) -> x
(Mul32 (Const32 [1]) x) -> x
(Mul64 (Const64 [1]) x) -> x
// Convert x * -1 to -x.
(Mul8 (Const8 [-1]) x) -> (Neg8 x)
(Mul16 (Const16 [-1]) x) -> (Neg16 x)
(Mul32 (Const32 [-1]) x) -> (Neg32 x)
(Mul64 (Const64 [-1]) x) -> (Neg64 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])
(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])
(Eq64 x x) -> (ConstBool [1])
(Eq32 x x) -> (ConstBool [1])
(Eq16 x x) -> (ConstBool [1])
(Eq8 x x) -> (ConstBool [1])
(EqB (ConstBool [c]) (ConstBool [d])) -> (ConstBool [b2i(c == d)])
(EqB (ConstBool [0]) x) -> (Not x)
(EqB (ConstBool [1]) x) -> x
(Neq64 x x) -> (ConstBool [0])
(Neq32 x x) -> (ConstBool [0])
(Neq16 x x) -> (ConstBool [0])
(Neq8 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 (Eq64 x y)) -> (Neq64 x y)
(Not (Eq32 x y)) -> (Neq32 x y)
(Not (Eq16 x y)) -> (Neq16 x y)
(Not (Eq8 x y)) -> (Neq8 x y)
(Not (EqB x y)) -> (NeqB x y)
(Not (Neq64 x y)) -> (Eq64 x y)
(Not (Neq32 x y)) -> (Eq32 x y)
(Not (Neq16 x y)) -> (Eq16 x y)
(Not (Neq8 x y)) -> (Eq8 x y)
(Not (NeqB x y)) -> (EqB x y)
(Not (Greater64 x y)) -> (Leq64 x y)
(Not (Greater32 x y)) -> (Leq32 x y)
(Not (Greater16 x y)) -> (Leq16 x y)
(Not (Greater8 x y)) -> (Leq8 x y)
(Not (Greater64U x y)) -> (Leq64U x y)
(Not (Greater32U x y)) -> (Leq32U x y)
(Not (Greater16U x y)) -> (Leq16U x y)
(Not (Greater8U x y)) -> (Leq8U x y)
(Not (Geq64 x y)) -> (Less64 x y)
(Not (Geq32 x y)) -> (Less32 x y)
(Not (Geq16 x y)) -> (Less16 x y)
(Not (Geq8 x y)) -> (Less8 x y)
(Not (Geq64U x y)) -> (Less64U x y)
(Not (Geq32U x y)) -> (Less32U x y)
(Not (Geq16U x y)) -> (Less16U x y)
(Not (Geq8U x y)) -> (Less8U x y)
(Not (Less64 x y)) -> (Geq64 x y)
(Not (Less32 x y)) -> (Geq32 x y)
(Not (Less16 x y)) -> (Geq16 x y)
(Not (Less8 x y)) -> (Geq8 x y)
(Not (Less64U x y)) -> (Geq64U x y)
(Not (Less32U x y)) -> (Geq32U x y)
(Not (Less16U x y)) -> (Geq16U x y)
(Not (Less8U x y)) -> (Geq8U x y)
(Not (Leq64 x y)) -> (Greater64 x y)
(Not (Leq32 x y)) -> (Greater32 x y)
(Not (Leq16 x y)) -> (Greater16 x y)
(Not (Leq8 x y)) -> (Greater8 x y)
(Not (Leq64U x y)) -> (Greater64U x y)
(Not (Leq32U x y)) -> (Greater32U x y)
(Not (Leq16U x y)) -> (Greater16U x y)
(Not (Leq8U x y)) -> (Greater8U 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 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
(Lsh64x64 x (Const64 [0])) -> x
(Rsh64x64 x (Const64 [0])) -> x
(Rsh64Ux64 x (Const64 [0])) -> x
(Lsh32x64 x (Const64 [0])) -> x
(Rsh32x64 x (Const64 [0])) -> x
(Rsh32Ux64 x (Const64 [0])) -> x
(Lsh16x64 x (Const64 [0])) -> x
(Rsh16x64 x (Const64 [0])) -> x
(Rsh16Ux64 x (Const64 [0])) -> x
(Lsh8x64 x (Const64 [0])) -> x
(Rsh8x64 x (Const64 [0])) -> x
(Rsh8Ux64 x (Const64 [0])) -> x
// zero shifted.
(Lsh64x64 (Const64 [0]) _) -> (Const64 [0])
(Lsh64x32 (Const64 [0]) _) -> (Const64 [0])
(Lsh64x16 (Const64 [0]) _) -> (Const64 [0])
(Lsh64x8 (Const64 [0]) _) -> (Const64 [0])
(Rsh64x64 (Const64 [0]) _) -> (Const64 [0])
(Rsh64x32 (Const64 [0]) _) -> (Const64 [0])
(Rsh64x16 (Const64 [0]) _) -> (Const64 [0])
(Rsh64x8 (Const64 [0]) _) -> (Const64 [0])
(Rsh64Ux64 (Const64 [0]) _) -> (Const64 [0])
(Rsh64Ux32 (Const64 [0]) _) -> (Const64 [0])
(Rsh64Ux16 (Const64 [0]) _) -> (Const64 [0])
(Rsh64Ux8 (Const64 [0]) _) -> (Const64 [0])
(Lsh32x64 (Const32 [0]) _) -> (Const32 [0])
(Lsh32x32 (Const32 [0]) _) -> (Const32 [0])
(Lsh32x16 (Const32 [0]) _) -> (Const32 [0])
(Lsh32x8 (Const32 [0]) _) -> (Const32 [0])
(Rsh32x64 (Const32 [0]) _) -> (Const32 [0])
(Rsh32x32 (Const32 [0]) _) -> (Const32 [0])
(Rsh32x16 (Const32 [0]) _) -> (Const32 [0])
(Rsh32x8 (Const32 [0]) _) -> (Const32 [0])
(Rsh32Ux64 (Const32 [0]) _) -> (Const32 [0])
(Rsh32Ux32 (Const32 [0]) _) -> (Const32 [0])
(Rsh32Ux16 (Const32 [0]) _) -> (Const32 [0])
(Rsh32Ux8 (Const32 [0]) _) -> (Const32 [0])
(Lsh16x64 (Const16 [0]) _) -> (Const16 [0])
(Lsh16x32 (Const16 [0]) _) -> (Const16 [0])
(Lsh16x16 (Const16 [0]) _) -> (Const16 [0])
(Lsh16x8 (Const16 [0]) _) -> (Const16 [0])
(Rsh16x64 (Const16 [0]) _) -> (Const16 [0])
(Rsh16x32 (Const16 [0]) _) -> (Const16 [0])
(Rsh16x16 (Const16 [0]) _) -> (Const16 [0])
(Rsh16x8 (Const16 [0]) _) -> (Const16 [0])
(Rsh16Ux64 (Const16 [0]) _) -> (Const16 [0])
(Rsh16Ux32 (Const16 [0]) _) -> (Const16 [0])
(Rsh16Ux16 (Const16 [0]) _) -> (Const16 [0])
(Rsh16Ux8 (Const16 [0]) _) -> (Const16 [0])
(Lsh8x64 (Const8 [0]) _) -> (Const8 [0])
(Lsh8x32 (Const8 [0]) _) -> (Const8 [0])
(Lsh8x16 (Const8 [0]) _) -> (Const8 [0])
(Lsh8x8 (Const8 [0]) _) -> (Const8 [0])
(Rsh8x64 (Const8 [0]) _) -> (Const8 [0])
(Rsh8x32 (Const8 [0]) _) -> (Const8 [0])
(Rsh8x16 (Const8 [0]) _) -> (Const8 [0])
(Rsh8x8 (Const8 [0]) _) -> (Const8 [0])
(Rsh8Ux64 (Const8 [0]) _) -> (Const8 [0])
(Rsh8Ux32 (Const8 [0]) _) -> (Const8 [0])
(Rsh8Ux16 (Const8 [0]) _) -> (Const8 [0])
(Rsh8Ux8 (Const8 [0]) _) -> (Const8 [0])
// large left shifts of all values, and right shifts of unsigned values
(Lsh64x64 _ (Const64 [c])) && uint64(c) >= 64 -> (Const64 [0])
(Rsh64Ux64 _ (Const64 [c])) && uint64(c) >= 64 -> (Const64 [0])
(Lsh32x64 _ (Const64 [c])) && uint64(c) >= 32 -> (Const32 [0])
(Rsh32Ux64 _ (Const64 [c])) && uint64(c) >= 32 -> (Const32 [0])
(Lsh16x64 _ (Const64 [c])) && uint64(c) >= 16 -> (Const16 [0])
(Rsh16Ux64 _ (Const64 [c])) && uint64(c) >= 16 -> (Const16 [0])
(Lsh8x64 _ (Const64 [c])) && uint64(c) >= 8 -> (Const8 [0])
(Rsh8Ux64 _ (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]))
// ((x >> c1) << c2) >> c3
(Rsh64Ux64 (Lsh64x64 (Rsh64Ux64 x (Const64 [c1])) (Const64 [c2])) (Const64 [c3]))
&& uint64(c1) >= uint64(c2) && uint64(c3) >= uint64(c2) && !uaddOvf(c1-c2, c3)
-> (Rsh64Ux64 x (Const64 <typ.UInt64> [c1-c2+c3]))
(Rsh32Ux64 (Lsh32x64 (Rsh32Ux64 x (Const64 [c1])) (Const64 [c2])) (Const64 [c3]))
&& uint64(c1) >= uint64(c2) && uint64(c3) >= uint64(c2) && !uaddOvf(c1-c2, c3)
-> (Rsh32Ux64 x (Const64 <typ.UInt64> [c1-c2+c3]))
(Rsh16Ux64 (Lsh16x64 (Rsh16Ux64 x (Const64 [c1])) (Const64 [c2])) (Const64 [c3]))
&& uint64(c1) >= uint64(c2) && uint64(c3) >= uint64(c2) && !uaddOvf(c1-c2, c3)
-> (Rsh16Ux64 x (Const64 <typ.UInt64> [c1-c2+c3]))
(Rsh8Ux64 (Lsh8x64 (Rsh8Ux64 x (Const64 [c1])) (Const64 [c2])) (Const64 [c3]))
&& uint64(c1) >= uint64(c2) && uint64(c3) >= uint64(c2) && !uaddOvf(c1-c2, c3)
-> (Rsh8Ux64 x (Const64 <typ.UInt64> [c1-c2+c3]))
// ((x << c1) >> c2) << c3
(Lsh64x64 (Rsh64Ux64 (Lsh64x64 x (Const64 [c1])) (Const64 [c2])) (Const64 [c3]))
&& uint64(c1) >= uint64(c2) && uint64(c3) >= uint64(c2) && !uaddOvf(c1-c2, c3)
-> (Lsh64x64 x (Const64 <typ.UInt64> [c1-c2+c3]))
(Lsh32x64 (Rsh32Ux64 (Lsh32x64 x (Const64 [c1])) (Const64 [c2])) (Const64 [c3]))
&& uint64(c1) >= uint64(c2) && uint64(c3) >= uint64(c2) && !uaddOvf(c1-c2, c3)
-> (Lsh32x64 x (Const64 <typ.UInt64> [c1-c2+c3]))
(Lsh16x64 (Rsh16Ux64 (Lsh16x64 x (Const64 [c1])) (Const64 [c2])) (Const64 [c3]))
&& uint64(c1) >= uint64(c2) && uint64(c3) >= uint64(c2) && !uaddOvf(c1-c2, c3)
-> (Lsh16x64 x (Const64 <typ.UInt64> [c1-c2+c3]))
(Lsh8x64 (Rsh8Ux64 (Lsh8x64 x (Const64 [c1])) (Const64 [c2])) (Const64 [c3]))
&& uint64(c1) >= uint64(c2) && uint64(c3) >= uint64(c2) && !uaddOvf(c1-c2, c3)
-> (Lsh8x64 x (Const64 <typ.UInt64> [c1-c2+c3]))
// 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
(Eq64 (Const64 [c]) (Const64 [d])) -> (ConstBool [b2i(c == d)])
(Eq32 (Const32 [c]) (Const32 [d])) -> (ConstBool [b2i(c == d)])
(Eq16 (Const16 [c]) (Const16 [d])) -> (ConstBool [b2i(c == d)])
(Eq8 (Const8 [c]) (Const8 [d])) -> (ConstBool [b2i(c == d)])
(Neq64 (Const64 [c]) (Const64 [d])) -> (ConstBool [b2i(c != d)])
(Neq32 (Const32 [c]) (Const32 [d])) -> (ConstBool [b2i(c != d)])
(Neq16 (Const16 [c]) (Const16 [d])) -> (ConstBool [b2i(c != d)])
(Neq8 (Const8 [c]) (Const8 [d])) -> (ConstBool [b2i(c != d)])
(Greater64 (Const64 [c]) (Const64 [d])) -> (ConstBool [b2i(c > d)])
(Greater32 (Const32 [c]) (Const32 [d])) -> (ConstBool [b2i(c > d)])
(Greater16 (Const16 [c]) (Const16 [d])) -> (ConstBool [b2i(c > d)])
(Greater8 (Const8 [c]) (Const8 [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))])
(Geq64 (Const64 [c]) (Const64 [d])) -> (ConstBool [b2i(c >= d)])
(Geq32 (Const32 [c]) (Const32 [d])) -> (ConstBool [b2i(c >= d)])
(Geq16 (Const16 [c]) (Const16 [d])) -> (ConstBool [b2i(c >= d)])
(Geq8 (Const8 [c]) (Const8 [d])) -> (ConstBool [b2i(c >= 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))])
(Less64 (Const64 [c]) (Const64 [d])) -> (ConstBool [b2i(c < d)])
(Less32 (Const32 [c]) (Const32 [d])) -> (ConstBool [b2i(c < d)])
(Less16 (Const16 [c]) (Const16 [d])) -> (ConstBool [b2i(c < d)])
(Less8 (Const8 [c]) (Const8 [d])) -> (ConstBool [b2i(c < 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))])
(Leq64 (Const64 [c]) (Const64 [d])) -> (ConstBool [b2i(c <= d)])
(Leq32 (Const32 [c]) (Const32 [d])) -> (ConstBool [b2i(c <= d)])
(Leq16 (Const16 [c]) (Const16 [d])) -> (ConstBool [b2i(c <= d)])
(Leq8 (Const8 [c]) (Const8 [d])) -> (ConstBool [b2i(c <= 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))])
// simplifications
(Or64 x x) -> x
(Or32 x x) -> x
(Or16 x x) -> x
(Or8 x x) -> x
(Or64 (Const64 [0]) x) -> x
(Or32 (Const32 [0]) x) -> x
(Or16 (Const16 [0]) x) -> x
(Or8 (Const8 [0]) x) -> x
(Or64 (Const64 [-1]) _) -> (Const64 [-1])
(Or32 (Const32 [-1]) _) -> (Const32 [-1])
(Or16 (Const16 [-1]) _) -> (Const16 [-1])
(Or8 (Const8 [-1]) _) -> (Const8 [-1])
(And64 x x) -> x
(And32 x x) -> x
(And16 x x) -> x
(And8 x x) -> x
(And64 (Const64 [-1]) x) -> x
(And32 (Const32 [-1]) x) -> x
(And16 (Const16 [-1]) x) -> x
(And8 (Const8 [-1]) x) -> x
(And64 (Const64 [0]) _) -> (Const64 [0])
(And32 (Const32 [0]) _) -> (Const32 [0])
(And16 (Const16 [0]) _) -> (Const16 [0])
(And8 (Const8 [0]) _) -> (Const8 [0])
(Xor64 x x) -> (Const64 [0])
(Xor32 x x) -> (Const32 [0])
(Xor16 x x) -> (Const16 [0])
(Xor8 x x) -> (Const8 [0])
(Xor64 (Const64 [0]) x) -> x
(Xor32 (Const32 [0]) x) -> x
(Xor16 (Const16 [0]) x) -> x
(Xor8 (Const8 [0]) x) -> x
(Add64 (Const64 [0]) x) -> x
(Add32 (Const32 [0]) x) -> x
(Add16 (Const16 [0]) x) -> x
(Add8 (Const8 [0]) x) -> x
(Sub64 x x) -> (Const64 [0])
(Sub32 x x) -> (Const32 [0])
(Sub16 x x) -> (Const16 [0])
(Sub8 x x) -> (Const8 [0])
(Mul64 (Const64 [0]) _) -> (Const64 [0])
(Mul32 (Const32 [0]) _) -> (Const32 [0])
(Mul16 (Const16 [0]) _) -> (Const16 [0])
(Mul8 (Const8 [0]) _) -> (Const8 [0])
(Com8 (Com8 x)) -> x
(Com16 (Com16 x)) -> x
(Com32 (Com32 x)) -> x
(Com64 (Com64 x)) -> x
(Com8 (Const8 [c])) -> (Const8 [^c])
(Com16 (Const16 [c])) -> (Const16 [^c])
(Com32 (Const32 [c])) -> (Const32 [^c])
(Com64 (Const64 [c])) -> (Const64 [^c])
(Neg8 (Sub8 x y)) -> (Sub8 y x)
(Neg16 (Sub16 x y)) -> (Sub16 y x)
(Neg32 (Sub32 x y)) -> (Sub32 y x)
(Neg64 (Sub64 x y)) -> (Sub64 y x)
(Add8 (Const8 [1]) (Com8 x)) -> (Neg8 x)
(Add16 (Const16 [1]) (Com16 x)) -> (Neg16 x)
(Add32 (Const32 [1]) (Com32 x)) -> (Neg32 x)
(Add64 (Const64 [1]) (Com64 x)) -> (Neg64 x)
(And64 x (And64 x y)) -> (And64 x y)
(And32 x (And32 x y)) -> (And32 x y)
(And16 x (And16 x y)) -> (And16 x y)
(And8 x (And8 x y)) -> (And8 x y)
(Or64 x (Or64 x y)) -> (Or64 x y)
(Or32 x (Or32 x y)) -> (Or32 x y)
(Or16 x (Or16 x y)) -> (Or16 x y)
(Or8 x (Or8 x y)) -> (Or8 x y)
(Xor64 x (Xor64 x y)) -> y
(Xor32 x (Xor32 x y)) -> y
(Xor16 x (Xor16 x y)) -> y
(Xor8 x (Xor8 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
(Sub64 (Add64 x y) x) -> y
(Sub64 (Add64 x y) y) -> x
(Sub32 (Add32 x y) x) -> y
(Sub32 (Add32 x y) y) -> x
(Sub16 (Add16 x y) x) -> y
(Sub16 (Add16 x y) y) -> x
(Sub8 (Add8 x y) x) -> y
(Sub8 (Add8 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])
// user nil checks
(NeqPtr p (ConstNil)) -> (IsNonNil p)
(EqPtr p (ConstNil)) -> (Not (IsNonNil p))
(IsNonNil (ConstNil)) -> (ConstBool [0])
// 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() == t2.(*types.Type).Size() -> x
// 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 to non-overlapping struct fields.
(Store {t1} p1 (Load <t2> p2 mem) mem) &&
isSamePtr(p1, p2) &&
t2.Size() == t1.(*types.Type).Size() -> mem
(Store {t1} (OffPtr [o1] p1) (Load <t2> (OffPtr [o1] p2) oldmem) mem:(Store {t3} (OffPtr [o3] p3) _ oldmem)) &&
isSamePtr(p1, p2) &&
isSamePtr(p1, p3) &&
t2.Size() == t1.(*types.Type).Size() &&
!overlap(o1, t2.Size(), o3, t3.(*types.Type).Size()) -> mem
(Store {t1} (OffPtr [o1] p1) (Load <t2> (OffPtr [o1] p2) oldmem) mem:(Store {t3} (OffPtr [o3] p3) _ (Store {t4} (OffPtr [o4] p4) _ oldmem))) &&
isSamePtr(p1, p2) &&
isSamePtr(p1, p3) &&
isSamePtr(p1, p4) &&
t2.Size() == t1.(*types.Type).Size() &&
!overlap(o1, t2.Size(), o3, t3.(*types.Type).Size()) &&
!overlap(o1, t2.Size(), o4, t4.(*types.Type).Size()) -> mem
(Store {t1} (OffPtr [o1] p1) (Load <t2> (OffPtr [o1] p2) oldmem) mem:(Store {t3} (OffPtr [o3] p3) _ (Store {t4} (OffPtr [o4] p4) _ (Store {t5} (OffPtr [o5] p5) _ oldmem)))) &&
isSamePtr(p1, p2) &&
isSamePtr(p1, p3) &&
isSamePtr(p1, p4) &&
isSamePtr(p1, p5) &&
t2.Size() == t1.(*types.Type).Size() &&
!overlap(o1, t2.Size(), o3, t3.(*types.Type).Size()) &&
!overlap(o1, t2.Size(), o4, t4.(*types.Type).Size()) &&
!overlap(o1, t2.Size(), o5, t5.(*types.Type).Size()) -> 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.ElemType().Size()])))
(PtrIndex <t> ptr idx) && config.PtrSize == 8 -> (AddPtr ptr (Mul64 <typ.Int> idx (Const64 <typ.Int> [t.ElemType().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} [t.(*types.Type).Size()] dst src mem)
(Store {t} dst (Load src mem) (VarDef {x} mem)) && !fe.CanSSA(t.(*types.Type)) ->
(Move {t} [t.(*types.Type).Size()] 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.ElemType()> ptr mem))
(Store _ (ArrayMake0) mem) -> mem
(Store dst (ArrayMake1 e) mem) -> (Store {e.Type} dst e mem)
(ArraySelect [0] (Load ptr mem)) -> (Load ptr 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 (Const64 <t> [c]) _)) -> (Const64 <t> [c])
(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.ElemType().PtrTo()>)
(Const32 <typ.Int> [0])
(Const32 <typ.Int> [0]))
(ConstSlice) && config.PtrSize == 8 ->
(SliceMake
(ConstNil <v.Type.ElemType().PtrTo()>)
(Const64 <typ.Int> [0])
(Const64 <typ.Int> [0]))
// interface ops
(ConstInterface) ->
(IMake
(ConstNil <typ.BytePtr>)
(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 (Add64 (Convert ptr mem) off) mem) -> (Add64 ptr off)
(Convert (Convert ptr mem) mem) -> ptr
// Decompose compound argument values
(Arg {n} [off]) && v.Type.IsString() ->
(StringMake
(Arg <typ.BytePtr> {n} [off])
(Arg <typ.Int> {n} [off+config.PtrSize]))
(Arg {n} [off]) && v.Type.IsSlice() ->
(SliceMake
(Arg <v.Type.ElemType().PtrTo()> {n} [off])
(Arg <typ.Int> {n} [off+config.PtrSize])
(Arg <typ.Int> {n} [off+2*config.PtrSize]))
(Arg {n} [off]) && v.Type.IsInterface() ->
(IMake
(Arg <typ.BytePtr> {n} [off])
(Arg <typ.BytePtr> {n} [off+config.PtrSize]))
(Arg {n} [off]) && v.Type.IsComplex() && v.Type.Size() == 16 ->
(ComplexMake
(Arg <typ.Float64> {n} [off])
(Arg <typ.Float64> {n} [off+8]))
(Arg {n} [off]) && v.Type.IsComplex() && v.Type.Size() == 8 ->
(ComplexMake
(Arg <typ.Float32> {n} [off])
(Arg <typ.Float32> {n} [off+4]))
(Arg <t>) && t.IsStruct() && t.NumFields() == 0 && fe.CanSSA(t) ->
(StructMake0)
(Arg <t> {n} [off]) && t.IsStruct() && t.NumFields() == 1 && fe.CanSSA(t) ->
(StructMake1
(Arg <t.FieldType(0)> {n} [off+t.FieldOff(0)]))
(Arg <t> {n} [off]) && t.IsStruct() && t.NumFields() == 2 && fe.CanSSA(t) ->
(StructMake2
(Arg <t.FieldType(0)> {n} [off+t.FieldOff(0)])
(Arg <t.FieldType(1)> {n} [off+t.FieldOff(1)]))
(Arg <t> {n} [off]) && t.IsStruct() && t.NumFields() == 3 && fe.CanSSA(t) ->
(StructMake3
(Arg <t.FieldType(0)> {n} [off+t.FieldOff(0)])
(Arg <t.FieldType(1)> {n} [off+t.FieldOff(1)])
(Arg <t.FieldType(2)> {n} [off+t.FieldOff(2)]))
(Arg <t> {n} [off]) && t.IsStruct() && t.NumFields() == 4 && fe.CanSSA(t) ->
(StructMake4
(Arg <t.FieldType(0)> {n} [off+t.FieldOff(0)])
(Arg <t.FieldType(1)> {n} [off+t.FieldOff(1)])
(Arg <t.FieldType(2)> {n} [off+t.FieldOff(2)])
(Arg <t.FieldType(3)> {n} [off+t.FieldOff(3)]))
(Arg <t>) && t.IsArray() && t.NumElem() == 0 ->
(ArrayMake0)
(Arg <t> {n} [off]) && t.IsArray() && t.NumElem() == 1 && fe.CanSSA(t) ->
(ArrayMake1 (Arg <t.ElemType()> {n} [off]))
// 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)]))
// 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 ->
(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 ->
(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 ->
(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 ->
(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 ->
(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 ->
(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 ->
(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 ->
(Rsh64Ux64 <typ.UInt64>
(Avg64u
x
(Hmul64u <typ.UInt64>
(Const64 <typ.UInt64> [int64(umagic(64,c).m)])
x))
(Const64 <typ.UInt64> [umagic(64,c).s-1]))
// Signed divide by a negative constant. Rewrite to divide by a positive constant.
(Div8 <t> n (Const8 [c])) && c < 0 && c != -1<<7 -> (Neg8 (Div8 <t> n (Const8 <t> [-c])))
(Div16 <t> n (Const16 [c])) && c < 0 && c != -1<<15 -> (Neg16 (Div16 <t> n (Const16 <t> [-c])))
(Div32 <t> n (Const32 [c])) && c < 0 && c != -1<<31 -> (Neg32 (Div32 <t> n (Const32 <t> [-c])))
(Div64 <t> n (Const64 [c])) && c < 0 && c != -1<<63 -> (Neg64 (Div64 <t> n (Const64 <t> [-c])))
// Dividing by the most-negative number. Result is always 0 except
// if the input is also the most-negative number.
// We can detect that using the sign bit of x & -x.
(Div8 <t> x (Const8 [-1<<7 ])) -> (Rsh8Ux64 (And8 <t> x (Neg8 <t> x)) (Const64 <typ.UInt64> [7 ]))
(Div16 <t> x (Const16 [-1<<15])) -> (Rsh16Ux64 (And16 <t> x (Neg16 <t> x)) (Const64 <typ.UInt64> [15]))
(Div32 <t> x (Const32 [-1<<31])) -> (Rsh32Ux64 (And32 <t> x (Neg32 <t> x)) (Const64 <typ.UInt64> [31]))
(Div64 <t> x (Const64 [-1<<63])) -> (Rsh64Ux64 (And64 <t> x (Neg64 <t> x)) (Const64 <typ.UInt64> [63]))
// Signed divide by power of 2.
// n / c = n >> log(c) if n >= 0
// = (n+c-1) >> log(c) if n < 0
// We conditionally add c-1 by adding n>>63>>(64-log(c)) (first shift signed, second shift unsigned).
(Div8 <t> n (Const8 [c])) && isPowerOfTwo(c) ->
(Rsh8x64
(Add8 <t> n (Rsh8Ux64 <t> (Rsh8x64 <t> n (Const64 <typ.UInt64> [ 7])) (Const64 <typ.UInt64> [ 8-log2(c)])))
(Const64 <typ.UInt64> [log2(c)]))
(Div16 <t> n (Const16 [c])) && isPowerOfTwo(c) ->
(Rsh16x64
(Add16 <t> n (Rsh16Ux64 <t> (Rsh16x64 <t> n (Const64 <typ.UInt64> [15])) (Const64 <typ.UInt64> [16-log2(c)])))
(Const64 <typ.UInt64> [log2(c)]))
(Div32 <t> n (Const32 [c])) && isPowerOfTwo(c) ->
(Rsh32x64
(Add32 <t> n (Rsh32Ux64 <t> (Rsh32x64 <t> n (Const64 <typ.UInt64> [31])) (Const64 <typ.UInt64> [32-log2(c)])))
(Const64 <typ.UInt64> [log2(c)]))
(Div64 <t> n (Const64 [c])) && isPowerOfTwo(c) ->
(Rsh64x64
(Add64 <t> n (Rsh64Ux64 <t> (Rsh64x64 <t> n (Const64 <typ.UInt64> [63])) (Const64 <typ.UInt64> [64-log2(c)])))
(Const64 <typ.UInt64> [log2(c)]))
// Signed divide, not a power of 2. Strength reduce to a multiply.
(Div8 <t> x (Const8 [c])) && smagicOK(8,c) ->
(Sub8 <t>
(Rsh32x64 <t>
(Mul32 <typ.UInt32>
(Const32 <typ.UInt32> [int64(smagic(8,c).m)])
(SignExt8to32 x))
(Const64 <typ.UInt64> [8+smagic(8,c).s]))
(Rsh32x64 <t>
(SignExt8to32 x)
(Const64 <typ.UInt64> [31])))
(Div16 <t> x (Const16 [c])) && smagicOK(16,c) ->
(Sub16 <t>
(Rsh32x64 <t>
(Mul32 <typ.UInt32>
(Const32 <typ.UInt32> [int64(smagic(16,c).m)])
(SignExt16to32 x))
(Const64 <typ.UInt64> [16+smagic(16,c).s]))
(Rsh32x64 <t>
(SignExt16to32 x)
(Const64 <typ.UInt64> [31])))
(Div32 <t> x (Const32 [c])) && smagicOK(32,c) && config.RegSize == 8 ->
(Sub32 <t>
(Rsh64x64 <t>
(Mul64 <typ.UInt64>
(Const64 <typ.UInt64> [int64(smagic(32,c).m)])
(SignExt32to64 x))
(Const64 <typ.UInt64> [32+smagic(32,c).s]))
(Rsh64x64 <t>
(SignExt32to64 x)
(Const64 <typ.UInt64> [63])))
(Div32 <t> x (Const32 [c])) && smagicOK(32,c) && config.RegSize == 4 && smagic(32,c).m&1 == 0 ->
(Sub32 <t>
(Rsh32x64 <t>
(Hmul32 <t>
(Const32 <typ.UInt32> [int64(int32(smagic(32,c).m/2))])
x)
(Const64 <typ.UInt64> [smagic(32,c).s-1]))
(Rsh32x64 <t>
x
(Const64 <typ.UInt64> [31])))
(Div32 <t> x (Const32 [c])) && smagicOK(32,c) && config.RegSize == 4 && smagic(32,c).m&1 != 0 ->
(Sub32 <t>
(Rsh32x64 <t>
(Add32 <t>
(Hmul32 <t>
(Const32 <typ.UInt32> [int64(int32(smagic(32,c).m))])
x)
x)
(Const64 <typ.UInt64> [smagic(32,c).s]))
(Rsh32x64 <t>
x
(Const64 <typ.UInt64> [31])))
(Div64 <t> x (Const64 [c])) && smagicOK(64,c) && smagic(64,c).m&1 == 0 ->
(Sub64 <t>
(Rsh64x64 <t>
(Hmul64 <t>
(Const64 <typ.UInt64> [int64(smagic(64,c).m/2)])
x)
(Const64 <typ.UInt64> [smagic(64,c).s-1]))
(Rsh64x64 <t>
x
(Const64 <typ.UInt64> [63])))
(Div64 <t> x (Const64 [c])) && smagicOK(64,c) && smagic(64,c).m&1 != 0 ->
(Sub64 <t>
(Rsh64x64 <t>
(Add64 <t>
(Hmul64 <t>
(Const64 <typ.UInt64> [int64(smagic(64,c).m)])
x)
x)
(Const64 <typ.UInt64> [smagic(64,c).s]))
(Rsh64x64 <t>
x
(Const64 <typ.UInt64> [63])))
// Unsigned mod by power of 2 constant.
(Mod8u <t> n (Const8 [c])) && isPowerOfTwo(c&0xff) -> (And8 n (Const8 <t> [(c&0xff)-1]))
(Mod16u <t> n (Const16 [c])) && isPowerOfTwo(c&0xffff) -> (And16 n (Const16 <t> [(c&0xffff)-1]))
(Mod32u <t> n (Const32 [c])) && isPowerOfTwo(c&0xffffffff) -> (And32 n (Const32 <t> [(c&0xffffffff)-1]))
(Mod64u <t> n (Const64 [c])) && isPowerOfTwo(c) -> (And64 n (Const64 <t> [c-1]))
// Signed mod by negative constant.
(Mod8 <t> n (Const8 [c])) && c < 0 && c != -1<<7 -> (Mod8 <t> n (Const8 <t> [-c]))
(Mod16 <t> n (Const16 [c])) && c < 0 && c != -1<<15 -> (Mod16 <t> n (Const16 <t> [-c]))
(Mod32 <t> n (Const32 [c])) && c < 0 && c != -1<<31 -> (Mod32 <t> n (Const32 <t> [-c]))
(Mod64 <t> n (Const64 [c])) && c < 0 && c != -1<<63 -> (Mod64 <t> n (Const64 <t> [-c]))
// All other mods by constants, do A%B = A-(A/B*B).
// This implements % with two * and a bunch of ancillary ops.
// One of the * is free if the user's code also computes A/B.
(Mod8 <t> x (Const8 [c])) && x.Op != OpConst8 && (c > 0 || c == -1<<7)
-> (Sub8 x (Mul8 <t> (Div8 <t> x (Const8 <t> [c])) (Const8 <t> [c])))
(Mod16 <t> x (Const16 [c])) && x.Op != OpConst16 && (c > 0 || c == -1<<15)
-> (Sub16 x (Mul16 <t> (Div16 <t> x (Const16 <t> [c])) (Const16 <t> [c])))
(Mod32 <t> x (Const32 [c])) && x.Op != OpConst32 && (c > 0 || c == -1<<31)
-> (Sub32 x (Mul32 <t> (Div32 <t> x (Const32 <t> [c])) (Const32 <t> [c])))
(Mod64 <t> x (Const64 [c])) && x.Op != OpConst64 && (c > 0 || c == -1<<63)
-> (Sub64 x (Mul64 <t> (Div64 <t> x (Const64 <t> [c])) (Const64 <t> [c])))
(Mod8u <t> x (Const8 [c])) && x.Op != OpConst8 && c > 0 && umagicOK(8 ,c)
-> (Sub8 x (Mul8 <t> (Div8u <t> x (Const8 <t> [c])) (Const8 <t> [c])))
(Mod16u <t> x (Const16 [c])) && x.Op != OpConst16 && c > 0 && umagicOK(16,c)
-> (Sub16 x (Mul16 <t> (Div16u <t> x (Const16 <t> [c])) (Const16 <t> [c])))
(Mod32u <t> x (Const32 [c])) && x.Op != OpConst32 && c > 0 && umagicOK(32,c)
-> (Sub32 x (Mul32 <t> (Div32u <t> x (Const32 <t> [c])) (Const32 <t> [c])))
(Mod64u <t> x (Const64 [c])) && x.Op != OpConst64 && c > 0 && umagicOK(64,c)
-> (Sub64 x (Mul64 <t> (Div64u <t> x (Const64 <t> [c])) (Const64 <t> [c])))
// Reassociate expressions involving
// constants such that constants come first,
// exposing obvious constant-folding opportunities.
// Reassociate (op (op y C) x) to (op C (op x y)) or similar, where C
// is constant, which pushes constants to the outside
// of the expression. At that point, any constant-folding
// opportunities should be obvious.
// x + (C + z) -> C + (x + z)
(Add64 (Add64 i:(Const64 <t>) z) x) && (z.Op != OpConst64 && x.Op != OpConst64) -> (Add64 i (Add64 <t> z x))
(Add32 (Add32 i:(Const32 <t>) z) x) && (z.Op != OpConst32 && x.Op != OpConst32) -> (Add32 i (Add32 <t> z x))
(Add16 (Add16 i:(Const16 <t>) z) x) && (z.Op != OpConst16 && x.Op != OpConst16) -> (Add16 i (Add16 <t> z x))
(Add8 (Add8 i:(Const8 <t>) z) x) && (z.Op != OpConst8 && x.Op != OpConst8) -> (Add8 i (Add8 <t> z x))
// x + (C - z) -> C + (x - z)
(Add64 (Sub64 i:(Const64 <t>) z) x) && (z.Op != OpConst64 && x.Op != OpConst64) -> (Add64 i (Sub64 <t> x z))
(Add32 (Sub32 i:(Const32 <t>) z) x) && (z.Op != OpConst32 && x.Op != OpConst32) -> (Add32 i (Sub32 <t> x z))
(Add16 (Sub16 i:(Const16 <t>) z) x) && (z.Op != OpConst16 && x.Op != OpConst16) -> (Add16 i (Sub16 <t> x z))
(Add8 (Sub8 i:(Const8 <t>) z) x) && (z.Op != OpConst8 && x.Op != OpConst8) -> (Add8 i (Sub8 <t> x z))
(Add64 x (Sub64 i:(Const64 <t>) z)) && (z.Op != OpConst64 && x.Op != OpConst64) -> (Add64 i (Sub64 <t> x z))
(Add32 x (Sub32 i:(Const32 <t>) z)) && (z.Op != OpConst32 && x.Op != OpConst32) -> (Add32 i (Sub32 <t> x z))
(Add16 x (Sub16 i:(Const16 <t>) z)) && (z.Op != OpConst16 && x.Op != OpConst16) -> (Add16 i (Sub16 <t> x z))
(Add8 x (Sub8 i:(Const8 <t>) z)) && (z.Op != OpConst8 && x.Op != OpConst8) -> (Add8 i (Sub8 <t> x z))
// x + (z - C) -> (x + z) - C
(Add64 (Sub64 z i:(Const64 <t>)) x) && (z.Op != OpConst64 && x.Op != OpConst64) -> (Sub64 (Add64 <t> x z) i)
(Add32 (Sub32 z i:(Const32 <t>)) x) && (z.Op != OpConst32 && x.Op != OpConst32) -> (Sub32 (Add32 <t> x z) i)
(Add16 (Sub16 z i:(Const16 <t>)) x) && (z.Op != OpConst16 && x.Op != OpConst16) -> (Sub16 (Add16 <t> x z) i)
(Add8 (Sub8 z i:(Const8 <t>)) x) && (z.Op != OpConst8 && x.Op != OpConst8) -> (Sub8 (Add8 <t> x z) i)
(Add64 x (Sub64 z i:(Const64 <t>))) && (z.Op != OpConst64 && x.Op != OpConst64) -> (Sub64 (Add64 <t> x z) i)
(Add32 x (Sub32 z i:(Const32 <t>))) && (z.Op != OpConst32 && x.Op != OpConst32) -> (Sub32 (Add32 <t> x z) i)
(Add16 x (Sub16 z i:(Const16 <t>))) && (z.Op != OpConst16 && x.Op != OpConst16) -> (Sub16 (Add16 <t> x z) i)
(Add8 x (Sub8 z i:(Const8 <t>))) && (z.Op != OpConst8 && x.Op != OpConst8) -> (Sub8 (Add8 <t> x z) i)
// x - (C - z) -> x + (z - C) -> (x + z) - C
(Sub64 x (Sub64 i:(Const64 <t>) z)) && (z.Op != OpConst64 && x.Op != OpConst64) -> (Sub64 (Add64 <t> x z) i)
(Sub32 x (Sub32 i:(Const32 <t>) z)) && (z.Op != OpConst32 && x.Op != OpConst32) -> (Sub32 (Add32 <t> x z) i)
(Sub16 x (Sub16 i:(Const16 <t>) z)) && (z.Op != OpConst16 && x.Op != OpConst16) -> (Sub16 (Add16 <t> x z) i)
(Sub8 x (Sub8 i:(Const8 <t>) z)) && (z.Op != OpConst8 && x.Op != OpConst8) -> (Sub8 (Add8 <t> x z) i)
// x - (z - C) -> x + (C - z) -> (x - z) + C
(Sub64 x (Sub64 z i:(Const64 <t>))) && (z.Op != OpConst64 && x.Op != OpConst64) -> (Add64 i (Sub64 <t> x z))
(Sub32 x (Sub32 z i:(Const32 <t>))) && (z.Op != OpConst32 && x.Op != OpConst32) -> (Add32 i (Sub32 <t> x z))
(Sub16 x (Sub16 z i:(Const16 <t>))) && (z.Op != OpConst16 && x.Op != OpConst16) -> (Add16 i (Sub16 <t> x z))
(Sub8 x (Sub8 z i:(Const8 <t>))) && (z.Op != OpConst8 && x.Op != OpConst8) -> (Add8 i (Sub8 <t> x z))
// x & (C & z) -> C & (x & z)
(And64 (And64 i:(Const64 <t>) z) x) && (z.Op != OpConst64 && x.Op != OpConst64) -> (And64 i (And64 <t> z x))
(And32 (And32 i:(Const32 <t>) z) x) && (z.Op != OpConst32 && x.Op != OpConst32) -> (And32 i (And32 <t> z x))
(And16 (And16 i:(Const16 <t>) z) x) && (z.Op != OpConst16 && x.Op != OpConst16) -> (And16 i (And16 <t> z x))
(And8 (And8 i:(Const8 <t>) z) x) && (z.Op != OpConst8 && x.Op != OpConst8) -> (And8 i (And8 <t> z x))
// x | (C | z) -> C | (x | z)
(Or64 (Or64 i:(Const64 <t>) z) x) && (z.Op != OpConst64 && x.Op != OpConst64) -> (Or64 i (Or64 <t> z x))
(Or32 (Or32 i:(Const32 <t>) z) x) && (z.Op != OpConst32 && x.Op != OpConst32) -> (Or32 i (Or32 <t> z x))
(Or16 (Or16 i:(Const16 <t>) z) x) && (z.Op != OpConst16 && x.Op != OpConst16) -> (Or16 i (Or16 <t> z x))
(Or8 (Or8 i:(Const8 <t>) z) x) && (z.Op != OpConst8 && x.Op != OpConst8) -> (Or8 i (Or8 <t> z x))
// x ^ (C ^ z) -> C ^ (x ^ z)
(Xor64 (Xor64 i:(Const64 <t>) z) x) && (z.Op != OpConst64 && x.Op != OpConst64) -> (Xor64 i (Xor64 <t> z x))
(Xor32 (Xor32 i:(Const32 <t>) z) x) && (z.Op != OpConst32 && x.Op != OpConst32) -> (Xor32 i (Xor32 <t> z x))
(Xor16 (Xor16 i:(Const16 <t>) z) x) && (z.Op != OpConst16 && x.Op != OpConst16) -> (Xor16 i (Xor16 <t> z x))
(Xor8 (Xor8 i:(Const8 <t>) z) x) && (z.Op != OpConst8 && x.Op != OpConst8) -> (Xor8 i (Xor8 <t> z x))
// C + (D + x) -> (C + D) + x
(Add64 (Const64 <t> [c]) (Add64 (Const64 <t> [d]) x)) -> (Add64 (Const64 <t> [c+d]) x)
(Add32 (Const32 <t> [c]) (Add32 (Const32 <t> [d]) x)) -> (Add32 (Const32 <t> [int64(int32(c+d))]) x)
(Add16 (Const16 <t> [c]) (Add16 (Const16 <t> [d]) x)) -> (Add16 (Const16 <t> [int64(int16(c+d))]) x)
(Add8 (Const8 <t> [c]) (Add8 (Const8 <t> [d]) x)) -> (Add8 (Const8 <t> [int64(int8(c+d))]) x)
// C + (D - x) -> (C + D) - x
(Add64 (Const64 <t> [c]) (Sub64 (Const64 <t> [d]) x)) -> (Sub64 (Const64 <t> [c+d]) x)
(Add32 (Const32 <t> [c]) (Sub32 (Const32 <t> [d]) x)) -> (Sub32 (Const32 <t> [int64(int32(c+d))]) x)
(Add16 (Const16 <t> [c]) (Sub16 (Const16 <t> [d]) x)) -> (Sub16 (Const16 <t> [int64(int16(c+d))]) x)
(Add8 (Const8 <t> [c]) (Sub8 (Const8 <t> [d]) x)) -> (Sub8 (Const8 <t> [int64(int8(c+d))]) x)
// C + (x - D) -> (C - D) + x
(Add64 (Const64 <t> [c]) (Sub64 x (Const64 <t> [d]))) -> (Add64 (Const64 <t> [c-d]) x)
(Add32 (Const32 <t> [c]) (Sub32 x (Const32 <t> [d]))) -> (Add32 (Const32 <t> [int64(int32(c-d))]) x)
(Add16 (Const16 <t> [c]) (Sub16 x (Const16 <t> [d]))) -> (Add16 (Const16 <t> [int64(int16(c-d))]) x)
(Add8 (Const8 <t> [c]) (Sub8 x (Const8 <t> [d]))) -> (Add8 (Const8 <t> [int64(int8(c-d))]) x)
// C - (x - D) -> (C + D) - x
(Sub64 (Const64 <t> [c]) (Sub64 x (Const64 <t> [d]))) -> (Sub64 (Const64 <t> [c+d]) x)
(Sub32 (Const32 <t> [c]) (Sub32 x (Const32 <t> [d]))) -> (Sub32 (Const32 <t> [int64(int32(c+d))]) x)
(Sub16 (Const16 <t> [c]) (Sub16 x (Const16 <t> [d]))) -> (Sub16 (Const16 <t> [int64(int16(c+d))]) x)
(Sub8 (Const8 <t> [c]) (Sub8 x (Const8 <t> [d]))) -> (Sub8 (Const8 <t> [int64(int8(c+d))]) x)
// C - (D - x) -> (C - D) + x
(Sub64 (Const64 <t> [c]) (Sub64 (Const64 <t> [d]) x)) -> (Add64 (Const64 <t> [c-d]) x)
(Sub32 (Const32 <t> [c]) (Sub32 (Const32 <t> [d]) x)) -> (Add32 (Const32 <t> [int64(int32(c-d))]) x)
(Sub16 (Const16 <t> [c]) (Sub16 (Const16 <t> [d]) x)) -> (Add16 (Const16 <t> [int64(int16(c-d))]) x)
(Sub8 (Const8 <t> [c]) (Sub8 (Const8 <t> [d]) x)) -> (Add8 (Const8 <t> [int64(int8(c-d))]) x)
// C & (D & x) -> (C & D) & x
(And64 (Const64 <t> [c]) (And64 (Const64 <t> [d]) x)) -> (And64 (Const64 <t> [c&d]) x)
(And32 (Const32 <t> [c]) (And32 (Const32 <t> [d]) x)) -> (And32 (Const32 <t> [int64(int32(c&d))]) x)
(And16 (Const16 <t> [c]) (And16 (Const16 <t> [d]) x)) -> (And16 (Const16 <t> [int64(int16(c&d))]) x)
(And8 (Const8 <t> [c]) (And8 (Const8 <t> [d]) x)) -> (And8 (Const8 <t> [int64(int8(c&d))]) x)
// C | (D | x) -> (C | D) | x
(Or64 (Const64 <t> [c]) (Or64 (Const64 <t> [d]) x)) -> (Or64 (Const64 <t> [c|d]) x)
(Or32 (Const32 <t> [c]) (Or32 (Const32 <t> [d]) x)) -> (Or32 (Const32 <t> [int64(int32(c|d))]) x)
(Or16 (Const16 <t> [c]) (Or16 (Const16 <t> [d]) x)) -> (Or16 (Const16 <t> [int64(int16(c|d))]) x)
(Or8 (Const8 <t> [c]) (Or8 (Const8 <t> [d]) x)) -> (Or8 (Const8 <t> [int64(int8(c|d))]) x)
// C ^ (D ^ x) -> (C ^ D) ^ x
(Xor64 (Const64 <t> [c]) (Xor64 (Const64 <t> [d]) x)) -> (Xor64 (Const64 <t> [c^d]) x)
(Xor32 (Const32 <t> [c]) (Xor32 (Const32 <t> [d]) x)) -> (Xor32 (Const32 <t> [int64(int32(c^d))]) x)
(Xor16 (Const16 <t> [c]) (Xor16 (Const16 <t> [d]) x)) -> (Xor16 (Const16 <t> [int64(int16(c^d))]) x)
(Xor8 (Const8 <t> [c]) (Xor8 (Const8 <t> [d]) x)) -> (Xor8 (Const8 <t> [int64(int8(c^d))]) x)
// C * (D * x) = (C * D) * x
(Mul64 (Const64 <t> [c]) (Mul64 (Const64 <t> [d]) x)) -> (Mul64 (Const64 <t> [c*d]) x)
(Mul32 (Const32 <t> [c]) (Mul32 (Const32 <t> [d]) x)) -> (Mul32 (Const32 <t> [int64(int32(c*d))]) x)
(Mul16 (Const16 <t> [c]) (Mul16 (Const16 <t> [d]) x)) -> (Mul16 (Const16 <t> [int64(int16(c*d))]) x)
(Mul8 (Const8 <t> [c]) (Mul8 (Const8 <t> [d]) x)) -> (Mul8 (Const8 <t> [int64(int8(c*d))]) x)
// floating point optimizations
(Add32F x (Const32F [0])) -> x
(Add64F x (Const64F [0])) -> x
(Sub32F x (Const32F [0])) -> x
(Sub64F x (Const64F [0])) -> x
(Mul32F x (Const32F [f2i(1)])) -> x
(Mul64F x (Const64F [f2i(1)])) -> x
(Mul32F x (Const32F [f2i(-1)])) -> (Neg32F x)
(Mul64F x (Const64F [f2i(-1)])) -> (Neg64F x)
(Mul32F x (Const32F [f2i(2)])) -> (Add32F x x)
(Mul64F x (Const64F [f2i(2)])) -> (Add64F x x)
(Div32F x (Const32F <t> [c])) && reciprocalExact32(float32(i2f(c))) -> (Mul32F x (Const32F <t> [f2i(1/i2f(c))]))
(Div64F x (Const64F <t> [c])) && reciprocalExact64(i2f(c)) -> (Mul64F x (Const64F <t> [f2i(1/i2f(c))]))
(Sqrt (Const64F [c])) -> (Const64F [f2i(math.Sqrt(i2f(c)))])
// recognize runtime.newobject and don't Zero/Nilcheck it
(Zero (Load (OffPtr [c] (SP)) mem) mem)
&& mem.Op == OpStaticCall
&& isSameSym(mem.Aux, "runtime.newobject")
&& c == config.ctxt.FixedFrameSize() + config.RegSize // offset of return value
-> mem
(Store (Load (OffPtr [c] (SP)) mem) x mem)
&& isConstZero(x)
&& mem.Op == OpStaticCall
&& isSameSym(mem.Aux, "runtime.newobject")
&& c == config.ctxt.FixedFrameSize() + config.RegSize // offset of return value
-> mem
(Store (OffPtr (Load (OffPtr [c] (SP)) mem)) x mem)
&& isConstZero(x)
&& mem.Op == OpStaticCall
&& isSameSym(mem.Aux, "runtime.newobject")
&& c == config.ctxt.FixedFrameSize() + config.RegSize // offset of return value
-> mem
// nil checks just need to rewrite to something useless.
// they will be deadcode eliminated soon afterwards.
(NilCheck (Load (OffPtr [c] (SP)) mem) mem)
&& mem.Op == OpStaticCall
&& isSameSym(mem.Aux, "runtime.newobject")
&& c == config.ctxt.FixedFrameSize() + config.RegSize // offset of return value
&& warnRule(fe.Debug_checknil() && v.Pos.Line() > 1, v, "removed nil check")
-> (Invalid)
(NilCheck (OffPtr (Load (OffPtr [c] (SP)) mem)) mem)
&& mem.Op == OpStaticCall
&& isSameSym(mem.Aux, "runtime.newobject")
&& c == config.ctxt.FixedFrameSize() + config.RegSize // offset of return value
&& warnRule(fe.Debug_checknil() && v.Pos.Line() > 1, v, "removed nil check")
-> (Invalid)
// Address comparison shows up in type assertions.
(EqPtr x x) -> (ConstBool [1])
(EqPtr (Addr {a} x) (Addr {b} x)) -> (ConstBool [b2i(a == b)])
// De-virtualize interface calls into static calls.
// Note that (ITab (IMake)) doesn't get
// rewritten until after the first opt pass,
// so this rule should trigger reliably.
(InterCall [argsize] (Load (OffPtr [off] (ITab (IMake (Addr {itab} (SB)) _))) _) mem) && devirt(v, itab, off) != nil ->
(StaticCall [argsize] {devirt(v, itab, off)} mem)