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math/big: wrap Float.Cmp result in struct to prevent wrong use
Float.Cmp used to return a value < 0, 0, or > 0 depending on how arguments x, y compared against each other. With the possibility of NaNs, the result was changed into an Accuracy (to include Undef). Consequently, Float.Cmp results could still be compared for (in-) equality with 0, but comparing if < 0 or > 0 would provide the wrong answer w/o any obvious notice by the compiler. This change wraps Float.Cmp results into a struct and accessors are used to access the desired result. This prevents incorrect use. Change-Id: I34e6a6c1859251ec99b5cf953e82542025ace56f Reviewed-on: https://go-review.googlesource.com/7526 Reviewed-by: Rob Pike <r@golang.org>
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@ -1446,6 +1446,10 @@ func (z *Float) Quo(x, y *Float) *Float {
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return z
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}
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type cmpResult struct {
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acc Accuracy
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}
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// Cmp compares x and y and returns:
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//
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// Below if x < y
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@ -1453,44 +1457,45 @@ func (z *Float) Quo(x, y *Float) *Float {
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// Above if x > y
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// Undef if any of x, y is NaN
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//
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func (x *Float) Cmp(y *Float) Accuracy {
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func (x *Float) Cmp(y *Float) cmpResult {
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if debugFloat {
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x.validate()
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y.validate()
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}
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if x.form == nan || y.form == nan {
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return Undef
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return cmpResult{Undef}
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}
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mx := x.ord()
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my := y.ord()
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switch {
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case mx < my:
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return Below
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return cmpResult{Below}
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case mx > my:
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return Above
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return cmpResult{Above}
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}
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// mx == my
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// only if |mx| == 1 we have to compare the mantissae
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switch mx {
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case -1:
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return y.ucmp(x)
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return cmpResult{y.ucmp(x)}
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case +1:
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return x.ucmp(y)
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return cmpResult{x.ucmp(y)}
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}
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return Exact
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return cmpResult{Exact}
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}
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// The following accessors simplify testing of Cmp results.
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func (acc Accuracy) Eql() bool { return acc == Exact }
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func (acc Accuracy) Neq() bool { return acc != Exact }
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func (acc Accuracy) Lss() bool { return acc == Below }
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func (acc Accuracy) Leq() bool { return acc&Above == 0 }
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func (acc Accuracy) Gtr() bool { return acc == Above }
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func (acc Accuracy) Geq() bool { return acc&Below == 0 }
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func (res cmpResult) Acc() Accuracy { return res.acc }
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func (res cmpResult) Eql() bool { return res.acc == Exact }
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func (res cmpResult) Neq() bool { return res.acc != Exact }
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func (res cmpResult) Lss() bool { return res.acc == Below }
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func (res cmpResult) Leq() bool { return res.acc&Above == 0 }
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func (res cmpResult) Gtr() bool { return res.acc == Above }
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func (res cmpResult) Geq() bool { return res.acc&Below == 0 }
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// ord classifies x and returns:
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//
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@ -207,7 +207,7 @@ func feq(x, y *Float) bool {
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if x.IsNaN() || y.IsNaN() {
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return x.IsNaN() && y.IsNaN()
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}
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return x.Cmp(y) == 0 && x.IsNeg() == y.IsNeg()
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return x.Cmp(y).Eql() && x.IsNeg() == y.IsNeg()
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}
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func TestFloatMantExp(t *testing.T) {
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@ -918,7 +918,7 @@ func TestFloatRat(t *testing.T) {
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// inverse conversion
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if res != nil {
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got := new(Float).SetPrec(64).SetRat(res)
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if got.Cmp(x) != 0 {
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if got.Cmp(x).Neq() {
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t.Errorf("%s: got %s; want %s", test.x, got, x)
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}
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}
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@ -995,7 +995,7 @@ func TestFloatInc(t *testing.T) {
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for i := 0; i < n; i++ {
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x.Add(&x, &one)
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}
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if x.Cmp(new(Float).SetInt64(n)) != 0 {
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if x.Cmp(new(Float).SetInt64(n)).Neq() {
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t.Errorf("prec = %d: got %s; want %d", prec, &x, n)
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}
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}
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@ -1036,14 +1036,14 @@ func TestFloatAdd(t *testing.T) {
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got := new(Float).SetPrec(prec).SetMode(mode)
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got.Add(x, y)
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want := zbits.round(prec, mode)
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if got.Cmp(want) != 0 {
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if got.Cmp(want).Neq() {
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t.Errorf("i = %d, prec = %d, %s:\n\t %s %v\n\t+ %s %v\n\t= %s\n\twant %s",
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i, prec, mode, x, xbits, y, ybits, got, want)
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}
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got.Sub(z, x)
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want = ybits.round(prec, mode)
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if got.Cmp(want) != 0 {
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if got.Cmp(want).Neq() {
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t.Errorf("i = %d, prec = %d, %s:\n\t %s %v\n\t- %s %v\n\t= %s\n\twant %s",
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i, prec, mode, z, zbits, x, xbits, got, want)
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}
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@ -1137,7 +1137,7 @@ func TestFloatMul(t *testing.T) {
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got := new(Float).SetPrec(prec).SetMode(mode)
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got.Mul(x, y)
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want := zbits.round(prec, mode)
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if got.Cmp(want) != 0 {
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if got.Cmp(want).Neq() {
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t.Errorf("i = %d, prec = %d, %s:\n\t %s %v\n\t* %s %v\n\t= %s\n\twant %s",
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i, prec, mode, x, xbits, y, ybits, got, want)
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}
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@ -1147,7 +1147,7 @@ func TestFloatMul(t *testing.T) {
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}
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got.Quo(z, x)
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want = ybits.round(prec, mode)
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if got.Cmp(want) != 0 {
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if got.Cmp(want).Neq() {
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t.Errorf("i = %d, prec = %d, %s:\n\t %s %v\n\t/ %s %v\n\t= %s\n\twant %s",
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i, prec, mode, z, zbits, x, xbits, got, want)
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}
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@ -1230,7 +1230,7 @@ func TestIssue6866(t *testing.T) {
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p.Mul(p, psix)
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z2.Sub(two, p)
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if z1.Cmp(z2) != 0 {
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if z1.Cmp(z2).Neq() {
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t.Fatalf("prec %d: got z1 = %s != z2 = %s; want z1 == z2\n", prec, z1, z2)
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}
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if z1.Sign() != 0 {
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@ -1281,7 +1281,7 @@ func TestFloatQuo(t *testing.T) {
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prec := uint(preci + d)
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got := new(Float).SetPrec(prec).SetMode(mode).Quo(x, y)
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want := bits.round(prec, mode)
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if got.Cmp(want) != 0 {
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if got.Cmp(want).Neq() {
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t.Errorf("i = %d, prec = %d, %s:\n\t %s\n\t/ %s\n\t= %s\n\twant %s",
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i, prec, mode, x, y, got, want)
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}
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@ -1462,7 +1462,7 @@ func TestFloatCmpSpecialValues(t *testing.T) {
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}
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for _, y := range args {
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yy.SetFloat64(y)
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got := xx.Cmp(yy)
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got := xx.Cmp(yy).Acc()
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want := Undef
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switch {
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case x < y:
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@ -102,7 +102,7 @@ func TestFloatSetFloat64String(t *testing.T) {
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}
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f, _ := x.Float64()
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want := new(Float).SetFloat64(test.x)
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if x.Cmp(want) != 0 {
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if x.Cmp(want).Neq() {
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t.Errorf("%s: got %s (%v); want %v", test.s, &x, f, test.x)
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}
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}
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@ -63,7 +63,7 @@ func ExampleFloat_Cmp() {
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t := x.Cmp(y)
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fmt.Printf(
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"%4s %4s %5s %c %c %c %c %c %c\n",
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x, y, t,
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x, y, t.Acc(),
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mark(t.Eql()), mark(t.Neq()), mark(t.Lss()), mark(t.Leq()), mark(t.Gtr()), mark(t.Geq()))
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}
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fmt.Println()
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