aboutsummaryrefslogtreecommitdiff
path: root/vendor/honnef.co/go/tools/staticcheck/vrp/int.go
diff options
context:
space:
mode:
authorJoseph Richey <joerichey94@gmail.com>2018-02-11 20:34:07 -0800
committerJoseph Richey <joerichey94@gmail.com>2018-02-11 20:34:07 -0800
commit23b8c7b4eab0375b3d59cf4b2a1f3d7356515f95 (patch)
tree6ec67f8d6b15420c3870d2b7c43b2b636fbb8349 /vendor/honnef.co/go/tools/staticcheck/vrp/int.go
parentfff13ea9041a3945e36d5f002c3c0a1e0e93c825 (diff)
vendor: include source for tools
This change vendors the source for all our build, formatting, and linting tools. Generated by running "dep ensure".
Diffstat (limited to 'vendor/honnef.co/go/tools/staticcheck/vrp/int.go')
-rw-r--r--vendor/honnef.co/go/tools/staticcheck/vrp/int.go476
1 files changed, 476 insertions, 0 deletions
diff --git a/vendor/honnef.co/go/tools/staticcheck/vrp/int.go b/vendor/honnef.co/go/tools/staticcheck/vrp/int.go
new file mode 100644
index 0000000..926bb7a
--- /dev/null
+++ b/vendor/honnef.co/go/tools/staticcheck/vrp/int.go
@@ -0,0 +1,476 @@
+package vrp
+
+import (
+ "fmt"
+ "go/token"
+ "go/types"
+ "math/big"
+
+ "honnef.co/go/tools/ssa"
+)
+
+type Zs []Z
+
+func (zs Zs) Len() int {
+ return len(zs)
+}
+
+func (zs Zs) Less(i int, j int) bool {
+ return zs[i].Cmp(zs[j]) == -1
+}
+
+func (zs Zs) Swap(i int, j int) {
+ zs[i], zs[j] = zs[j], zs[i]
+}
+
+type Z struct {
+ infinity int8
+ integer *big.Int
+}
+
+func NewZ(n int64) Z {
+ return NewBigZ(big.NewInt(n))
+}
+
+func NewBigZ(n *big.Int) Z {
+ return Z{integer: n}
+}
+
+func (z1 Z) Infinite() bool {
+ return z1.infinity != 0
+}
+
+func (z1 Z) Add(z2 Z) Z {
+ if z2.Sign() == -1 {
+ return z1.Sub(z2.Negate())
+ }
+ if z1 == NInfinity {
+ return NInfinity
+ }
+ if z1 == PInfinity {
+ return PInfinity
+ }
+ if z2 == PInfinity {
+ return PInfinity
+ }
+
+ if !z1.Infinite() && !z2.Infinite() {
+ n := &big.Int{}
+ n.Add(z1.integer, z2.integer)
+ return NewBigZ(n)
+ }
+
+ panic(fmt.Sprintf("%s + %s is not defined", z1, z2))
+}
+
+func (z1 Z) Sub(z2 Z) Z {
+ if z2.Sign() == -1 {
+ return z1.Add(z2.Negate())
+ }
+ if !z1.Infinite() && !z2.Infinite() {
+ n := &big.Int{}
+ n.Sub(z1.integer, z2.integer)
+ return NewBigZ(n)
+ }
+
+ if z1 != PInfinity && z2 == PInfinity {
+ return NInfinity
+ }
+ if z1.Infinite() && !z2.Infinite() {
+ return Z{infinity: z1.infinity}
+ }
+ if z1 == PInfinity && z2 == PInfinity {
+ return PInfinity
+ }
+ panic(fmt.Sprintf("%s - %s is not defined", z1, z2))
+}
+
+func (z1 Z) Mul(z2 Z) Z {
+ if (z1.integer != nil && z1.integer.Sign() == 0) ||
+ (z2.integer != nil && z2.integer.Sign() == 0) {
+ return NewBigZ(&big.Int{})
+ }
+
+ if z1.infinity != 0 || z2.infinity != 0 {
+ return Z{infinity: int8(z1.Sign() * z2.Sign())}
+ }
+
+ n := &big.Int{}
+ n.Mul(z1.integer, z2.integer)
+ return NewBigZ(n)
+}
+
+func (z1 Z) Negate() Z {
+ if z1.infinity == 1 {
+ return NInfinity
+ }
+ if z1.infinity == -1 {
+ return PInfinity
+ }
+ n := &big.Int{}
+ n.Neg(z1.integer)
+ return NewBigZ(n)
+}
+
+func (z1 Z) Sign() int {
+ if z1.infinity != 0 {
+ return int(z1.infinity)
+ }
+ return z1.integer.Sign()
+}
+
+func (z1 Z) String() string {
+ if z1 == NInfinity {
+ return "-∞"
+ }
+ if z1 == PInfinity {
+ return "∞"
+ }
+ return fmt.Sprintf("%d", z1.integer)
+}
+
+func (z1 Z) Cmp(z2 Z) int {
+ if z1.infinity == z2.infinity && z1.infinity != 0 {
+ return 0
+ }
+ if z1 == PInfinity {
+ return 1
+ }
+ if z1 == NInfinity {
+ return -1
+ }
+ if z2 == NInfinity {
+ return 1
+ }
+ if z2 == PInfinity {
+ return -1
+ }
+ return z1.integer.Cmp(z2.integer)
+}
+
+func MaxZ(zs ...Z) Z {
+ if len(zs) == 0 {
+ panic("Max called with no arguments")
+ }
+ if len(zs) == 1 {
+ return zs[0]
+ }
+ ret := zs[0]
+ for _, z := range zs[1:] {
+ if z.Cmp(ret) == 1 {
+ ret = z
+ }
+ }
+ return ret
+}
+
+func MinZ(zs ...Z) Z {
+ if len(zs) == 0 {
+ panic("Min called with no arguments")
+ }
+ if len(zs) == 1 {
+ return zs[0]
+ }
+ ret := zs[0]
+ for _, z := range zs[1:] {
+ if z.Cmp(ret) == -1 {
+ ret = z
+ }
+ }
+ return ret
+}
+
+var NInfinity = Z{infinity: -1}
+var PInfinity = Z{infinity: 1}
+var EmptyIntInterval = IntInterval{true, PInfinity, NInfinity}
+
+func InfinityFor(v ssa.Value) IntInterval {
+ if b, ok := v.Type().Underlying().(*types.Basic); ok {
+ if (b.Info() & types.IsUnsigned) != 0 {
+ return NewIntInterval(NewZ(0), PInfinity)
+ }
+ }
+ return NewIntInterval(NInfinity, PInfinity)
+}
+
+type IntInterval struct {
+ known bool
+ Lower Z
+ Upper Z
+}
+
+func NewIntInterval(l, u Z) IntInterval {
+ if u.Cmp(l) == -1 {
+ return EmptyIntInterval
+ }
+ return IntInterval{known: true, Lower: l, Upper: u}
+}
+
+func (i IntInterval) IsKnown() bool {
+ return i.known
+}
+
+func (i IntInterval) Empty() bool {
+ return i.Lower == PInfinity && i.Upper == NInfinity
+}
+
+func (i IntInterval) IsMaxRange() bool {
+ return i.Lower == NInfinity && i.Upper == PInfinity
+}
+
+func (i1 IntInterval) Intersection(i2 IntInterval) IntInterval {
+ if !i1.IsKnown() {
+ return i2
+ }
+ if !i2.IsKnown() {
+ return i1
+ }
+ if i1.Empty() || i2.Empty() {
+ return EmptyIntInterval
+ }
+ i3 := NewIntInterval(MaxZ(i1.Lower, i2.Lower), MinZ(i1.Upper, i2.Upper))
+ if i3.Lower.Cmp(i3.Upper) == 1 {
+ return EmptyIntInterval
+ }
+ return i3
+}
+
+func (i1 IntInterval) Union(other Range) Range {
+ i2, ok := other.(IntInterval)
+ if !ok {
+ i2 = EmptyIntInterval
+ }
+ if i1.Empty() || !i1.IsKnown() {
+ return i2
+ }
+ if i2.Empty() || !i2.IsKnown() {
+ return i1
+ }
+ return NewIntInterval(MinZ(i1.Lower, i2.Lower), MaxZ(i1.Upper, i2.Upper))
+}
+
+func (i1 IntInterval) Add(i2 IntInterval) IntInterval {
+ if i1.Empty() || i2.Empty() {
+ return EmptyIntInterval
+ }
+ l1, u1, l2, u2 := i1.Lower, i1.Upper, i2.Lower, i2.Upper
+ return NewIntInterval(l1.Add(l2), u1.Add(u2))
+}
+
+func (i1 IntInterval) Sub(i2 IntInterval) IntInterval {
+ if i1.Empty() || i2.Empty() {
+ return EmptyIntInterval
+ }
+ l1, u1, l2, u2 := i1.Lower, i1.Upper, i2.Lower, i2.Upper
+ return NewIntInterval(l1.Sub(u2), u1.Sub(l2))
+}
+
+func (i1 IntInterval) Mul(i2 IntInterval) IntInterval {
+ if i1.Empty() || i2.Empty() {
+ return EmptyIntInterval
+ }
+ x1, x2 := i1.Lower, i1.Upper
+ y1, y2 := i2.Lower, i2.Upper
+ return NewIntInterval(
+ MinZ(x1.Mul(y1), x1.Mul(y2), x2.Mul(y1), x2.Mul(y2)),
+ MaxZ(x1.Mul(y1), x1.Mul(y2), x2.Mul(y1), x2.Mul(y2)),
+ )
+}
+
+func (i1 IntInterval) String() string {
+ if !i1.IsKnown() {
+ return "[⊥, ⊥]"
+ }
+ if i1.Empty() {
+ return "{}"
+ }
+ return fmt.Sprintf("[%s, %s]", i1.Lower, i1.Upper)
+}
+
+type IntArithmeticConstraint struct {
+ aConstraint
+ A ssa.Value
+ B ssa.Value
+ Op token.Token
+ Fn func(IntInterval, IntInterval) IntInterval
+}
+
+type IntAddConstraint struct{ *IntArithmeticConstraint }
+type IntSubConstraint struct{ *IntArithmeticConstraint }
+type IntMulConstraint struct{ *IntArithmeticConstraint }
+
+type IntConversionConstraint struct {
+ aConstraint
+ X ssa.Value
+}
+
+type IntIntersectionConstraint struct {
+ aConstraint
+ ranges Ranges
+ A ssa.Value
+ B ssa.Value
+ Op token.Token
+ I IntInterval
+ resolved bool
+}
+
+type IntIntervalConstraint struct {
+ aConstraint
+ I IntInterval
+}
+
+func NewIntArithmeticConstraint(a, b, y ssa.Value, op token.Token, fn func(IntInterval, IntInterval) IntInterval) *IntArithmeticConstraint {
+ return &IntArithmeticConstraint{NewConstraint(y), a, b, op, fn}
+}
+func NewIntAddConstraint(a, b, y ssa.Value) Constraint {
+ return &IntAddConstraint{NewIntArithmeticConstraint(a, b, y, token.ADD, IntInterval.Add)}
+}
+func NewIntSubConstraint(a, b, y ssa.Value) Constraint {
+ return &IntSubConstraint{NewIntArithmeticConstraint(a, b, y, token.SUB, IntInterval.Sub)}
+}
+func NewIntMulConstraint(a, b, y ssa.Value) Constraint {
+ return &IntMulConstraint{NewIntArithmeticConstraint(a, b, y, token.MUL, IntInterval.Mul)}
+}
+func NewIntConversionConstraint(x, y ssa.Value) Constraint {
+ return &IntConversionConstraint{NewConstraint(y), x}
+}
+func NewIntIntersectionConstraint(a, b ssa.Value, op token.Token, ranges Ranges, y ssa.Value) Constraint {
+ return &IntIntersectionConstraint{
+ aConstraint: NewConstraint(y),
+ ranges: ranges,
+ A: a,
+ B: b,
+ Op: op,
+ }
+}
+func NewIntIntervalConstraint(i IntInterval, y ssa.Value) Constraint {
+ return &IntIntervalConstraint{NewConstraint(y), i}
+}
+
+func (c *IntArithmeticConstraint) Operands() []ssa.Value { return []ssa.Value{c.A, c.B} }
+func (c *IntConversionConstraint) Operands() []ssa.Value { return []ssa.Value{c.X} }
+func (c *IntIntersectionConstraint) Operands() []ssa.Value { return []ssa.Value{c.A} }
+func (s *IntIntervalConstraint) Operands() []ssa.Value { return nil }
+
+func (c *IntArithmeticConstraint) String() string {
+ return fmt.Sprintf("%s = %s %s %s", c.Y().Name(), c.A.Name(), c.Op, c.B.Name())
+}
+func (c *IntConversionConstraint) String() string {
+ return fmt.Sprintf("%s = %s(%s)", c.Y().Name(), c.Y().Type(), c.X.Name())
+}
+func (c *IntIntersectionConstraint) String() string {
+ return fmt.Sprintf("%s = %s %s %s (%t branch)", c.Y().Name(), c.A.Name(), c.Op, c.B.Name(), c.Y().(*ssa.Sigma).Branch)
+}
+func (c *IntIntervalConstraint) String() string { return fmt.Sprintf("%s = %s", c.Y().Name(), c.I) }
+
+func (c *IntArithmeticConstraint) Eval(g *Graph) Range {
+ i1, i2 := g.Range(c.A).(IntInterval), g.Range(c.B).(IntInterval)
+ if !i1.IsKnown() || !i2.IsKnown() {
+ return IntInterval{}
+ }
+ return c.Fn(i1, i2)
+}
+func (c *IntConversionConstraint) Eval(g *Graph) Range {
+ s := &types.StdSizes{
+ // XXX is it okay to assume the largest word size, or do we
+ // need to be platform specific?
+ WordSize: 8,
+ MaxAlign: 1,
+ }
+ fromI := g.Range(c.X).(IntInterval)
+ toI := g.Range(c.Y()).(IntInterval)
+ fromT := c.X.Type().Underlying().(*types.Basic)
+ toT := c.Y().Type().Underlying().(*types.Basic)
+ fromB := s.Sizeof(c.X.Type())
+ toB := s.Sizeof(c.Y().Type())
+
+ if !fromI.IsKnown() {
+ return toI
+ }
+ if !toI.IsKnown() {
+ return fromI
+ }
+
+ // uint<N> -> sint/uint<M>, M > N: [max(0, l1), min(2**N-1, u2)]
+ if (fromT.Info()&types.IsUnsigned != 0) &&
+ toB > fromB {
+
+ n := big.NewInt(1)
+ n.Lsh(n, uint(fromB*8))
+ n.Sub(n, big.NewInt(1))
+ return NewIntInterval(
+ MaxZ(NewZ(0), fromI.Lower),
+ MinZ(NewBigZ(n), toI.Upper),
+ )
+ }
+
+ // sint<N> -> sint<M>, M > N; [max(-∞, l1), min(2**N-1, u2)]
+ if (fromT.Info()&types.IsUnsigned == 0) &&
+ (toT.Info()&types.IsUnsigned == 0) &&
+ toB > fromB {
+
+ n := big.NewInt(1)
+ n.Lsh(n, uint(fromB*8))
+ n.Sub(n, big.NewInt(1))
+ return NewIntInterval(
+ MaxZ(NInfinity, fromI.Lower),
+ MinZ(NewBigZ(n), toI.Upper),
+ )
+ }
+
+ return fromI
+}
+func (c *IntIntersectionConstraint) Eval(g *Graph) Range {
+ xi := g.Range(c.A).(IntInterval)
+ if !xi.IsKnown() {
+ return c.I
+ }
+ return xi.Intersection(c.I)
+}
+func (c *IntIntervalConstraint) Eval(*Graph) Range { return c.I }
+
+func (c *IntIntersectionConstraint) Futures() []ssa.Value {
+ return []ssa.Value{c.B}
+}
+
+func (c *IntIntersectionConstraint) Resolve() {
+ r, ok := c.ranges[c.B].(IntInterval)
+ if !ok {
+ c.I = InfinityFor(c.Y())
+ return
+ }
+
+ switch c.Op {
+ case token.EQL:
+ c.I = r
+ case token.GTR:
+ c.I = NewIntInterval(r.Lower.Add(NewZ(1)), PInfinity)
+ case token.GEQ:
+ c.I = NewIntInterval(r.Lower, PInfinity)
+ case token.LSS:
+ // TODO(dh): do we need 0 instead of NInfinity for uints?
+ c.I = NewIntInterval(NInfinity, r.Upper.Sub(NewZ(1)))
+ case token.LEQ:
+ c.I = NewIntInterval(NInfinity, r.Upper)
+ case token.NEQ:
+ c.I = InfinityFor(c.Y())
+ default:
+ panic("unsupported op " + c.Op.String())
+ }
+}
+
+func (c *IntIntersectionConstraint) IsKnown() bool {
+ return c.I.IsKnown()
+}
+
+func (c *IntIntersectionConstraint) MarkUnresolved() {
+ c.resolved = false
+}
+
+func (c *IntIntersectionConstraint) MarkResolved() {
+ c.resolved = true
+}
+
+func (c *IntIntersectionConstraint) IsResolved() bool {
+ return c.resolved
+}