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math/big: add more Float.Float64 conversion tests
- structure the Float64 conversion tests the same way as for Float32 - add additional test cases, including one that exposes a current issue (currently disabled, same issue as was fixed for Float32) The Float64 fix will be in a subsequent change for easier reviewing. Change-Id: I95dc9e8d1f6b6073a98c7bc2289e6d3248fc3420 Reviewed-on: https://go-review.googlesource.com/10351 Reviewed-by: Alan Donovan <adonovan@google.com>
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@ -209,6 +209,12 @@ func alike32(x, y float32) bool {
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}
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func alike64(x, y float64) bool {
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// we can ignore NaNs
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return x == y && math.Signbit(x) == math.Signbit(y)
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}
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func TestFloatMantExp(t *testing.T) {
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for _, test := range []struct {
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x string
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@ -908,35 +914,37 @@ func TestFloatFloat64(t *testing.T) {
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out float64
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acc Accuracy
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}{
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{"-Inf", math.Inf(-1), Exact},
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{"-0x1.fffffffffffff8p2147483646", -math.Inf(+1), Below}, // overflow in rounding
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{"-1e10000", math.Inf(-1), Below}, // overflow
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{"-0x1p1024", math.Inf(-1), Below}, // overflow
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{"-0x1.fffffffffffff8p1023", -math.Inf(+1), Below}, // overflow
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{"-0x1.fffffffffffff4p1023", -math.MaxFloat64, Above},
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{"-0x1.fffffffffffff0p1023", -math.MaxFloat64, Exact},
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{"-12345.000000000000000000001", -12345, Above},
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{"-12345.0", -12345, Exact},
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{"-1.000000000000000000001", -1, Above},
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{"-1", -1, Exact},
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{"-0x0.0000000000001p-1022", -math.SmallestNonzeroFloat64, Exact},
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{"-0x0.0000000000001p-1023", -0, Above}, // underflow
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{"-1e-1000", -0, Above}, // underflow
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{"0", 0, Exact},
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{"1e-1000", 0, Below}, // underflow
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{"0x0.0000000000001p-1023", 0, Below}, // underflow
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{"0x0.0000000000001p-1022", math.SmallestNonzeroFloat64, Exact},
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// underflow
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{"1e-1000", 0, Below},
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{"0x0.0000000000001p-1023", 0, Below},
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{"0x0.00000000000008p-1022", 0, Below},
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// denormals
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// TODO(gri) enable once Float64 is fixed
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// {"0x0.0000000000000cp-1022", math.SmallestNonzeroFloat64, Above}, // rounded up to smallest denormal
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{"0x0.0000000000001p-1022", math.SmallestNonzeroFloat64, Exact}, // smallest denormal
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{"0x.8p-1073", math.SmallestNonzeroFloat64, Exact},
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{"1p-1074", math.SmallestNonzeroFloat64, Exact},
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{"0x.fffffffffffffp-1022", math.Float64frombits(0x000fffffffffffff), Exact}, // largest denormal
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// normals
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{"0x.fffffffffffff8p-1022", math.Float64frombits(0x0010000000000000), Above}, // rounded up to smallest normal
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{"1p-1022", math.Float64frombits(0x0010000000000000), Exact}, // smallest normal
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{"1", 1, Exact},
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{"1.000000000000000000001", 1, Below},
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{"12345.0", 12345, Exact},
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{"12345.000000000000000000001", 12345, Below},
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{"0x1.fffffffffffff0p1023", math.MaxFloat64, Exact},
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{"0x1.fffffffffffff4p1023", math.MaxFloat64, Below},
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{"0x1.fffffffffffff8p1023", math.Inf(+1), Above}, // overflow
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{"0x1p1024", math.Inf(+1), Above}, // overflow
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{"1e10000", math.Inf(+1), Above}, // overflow
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// overflow
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{"0x1.fffffffffffff8p1023", math.Inf(+1), Above},
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{"0x1p1024", math.Inf(+1), Above},
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{"1e10000", math.Inf(+1), Above},
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{"0x1.fffffffffffff8p2147483646", math.Inf(+1), Above}, // overflow in rounding
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{"+Inf", math.Inf(+1), Exact},
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{"Inf", math.Inf(+1), Exact},
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// selected denormalized values that were handled incorrectly in the past
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{"0x.fffffffffffffp-1022", smallestNormalFloat64 - math.SmallestNonzeroFloat64, Exact},
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@ -947,24 +955,34 @@ func TestFloatFloat64(t *testing.T) {
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// http://www.exploringbinary.com/java-hangs-when-converting-2-2250738585072012e-308/
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{"2.2250738585072012e-308", 2.2250738585072014e-308, Above},
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} {
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// conversion should match strconv where syntax is agreeable
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if f, err := strconv.ParseFloat(test.x, 64); err == nil && f != test.out {
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t.Errorf("%s: got %g; want %g (incorrect test data)", test.x, f, test.out)
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for i := 0; i < 2; i++ {
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// test both signs
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tx, tout, tacc := test.x, test.out, test.acc
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if i != 0 {
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tx = "-" + tx
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tout = -tout
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tacc = -tacc
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}
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x := makeFloat(test.x)
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// conversion should match strconv where syntax is agreeable
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if f, err := strconv.ParseFloat(tx, 64); err == nil && !alike64(f, tout) {
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t.Errorf("%s: got %g; want %g (incorrect test data)", tx, f, tout)
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}
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x := makeFloat(tx)
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out, acc := x.Float64()
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if out != test.out || acc != test.acc {
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t.Errorf("%s: got %g (%#x, %s); want %g (%#x, %s)", test.x, out, math.Float64bits(out), acc, test.out, math.Float64bits(test.out), test.acc)
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if !alike64(out, tout) || acc != tacc {
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t.Errorf("%s: got %g (%#x, %s); want %g (%#x, %s)", tx, out, math.Float64bits(out), acc, test.out, math.Float64bits(test.out), tacc)
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}
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// test that x.SetFloat64(f).Float64() == f
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var x2 Float
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out2, acc2 := x2.SetFloat64(out).Float64()
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if out2 != out || acc2 != Exact {
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if !alike64(out2, out) || acc2 != Exact {
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t.Errorf("idempotency test: got %g (%s); want %g (Exact)", out2, acc2, out)
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}
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}
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}
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}
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func TestFloatInt(t *testing.T) {
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