math: special cases for Ceil, Exp, Floor, Log, Log10

Added special case tests to all_test.go. Added tests to Floor,
in-lined tests in Exp and Log.

R=rsc
CC=golang-dev
https://golang.org/cl/184081

src/pkg/math/all_test.go

@@ -118,6 +118,18 @@ var log = []float64{
 	6.0174879014578053e-01,
 	2.1617038728473527e+00,
 }
+var log10 = []float64{
+	6.9714316642508291e-01,
+	8.8867769017393205e-01,
+	-5.5770832400658930e-01,
+	6.9989004768229943e-01,
+	9.8391002850684232e-01,
+	4.6633031029295153e-01,
+	7.1842557117242328e-01,
+	4.3583479968917772e-01,
+	2.6133617905227037e-01,
+	9.3881606348649405e-01,
+}
 var pow = []float64{
 	9.5282232631648415e+04,
 	5.4811599352999900e+07,
@@ -210,6 +222,28 @@ var atanSC = []float64{
 	NaN(),
 }
 
+var vfceilSC = []float64{
+	Inf(-1),
+	Inf(1),
+	NaN(),
+}
+var ceilSC = []float64{
+	Inf(-1),
+	Inf(1),
+	NaN(),
+}
+
+var vfexpSC = []float64{
+	Inf(-1),
+	Inf(1),
+	NaN(),
+}
+var expSC = []float64{
+	0,
+	Inf(1),
+	NaN(),
+}
+
 var vffmodSC = [][2]float64{
 	[2]float64{Inf(-1), Inf(-1)},
 	[2]float64{Inf(-1), -Pi},
@@ -275,6 +309,21 @@ var fmodSC = []float64{
 	NaN(),
 }
 
+var vflogSC = []float64{
+	Inf(-1),
+	-Pi,
+	0,
+	Inf(1),
+	NaN(),
+}
+var logSC = []float64{
+	NaN(),
+	NaN(),
+	Inf(-1),
+	Inf(1),
+	NaN(),
+}
+
 var vfpowSC = [][2]float64{
 	[2]float64{-Pi, Pi},
 	[2]float64{-Pi, -Pi},
@@ -440,6 +489,11 @@ func TestCeil(t *testing.T) {
 			t.Errorf("Ceil(%g) = %g, want %g\n", vf[i], f, ceil[i])
 		}
 	}
+	for i := 0; i < len(vfceilSC); i++ {
+		if f := Ceil(vfceilSC[i]); !alike(ceilSC[i], f) {
+			t.Errorf("Ceil(%g) = %g, want %g\n", vfceilSC[i], f, ceilSC[i])
+		}
+	}
 }
 
 func TestExp(t *testing.T) {
@@ -448,6 +502,11 @@ func TestExp(t *testing.T) {
 			t.Errorf("Exp(%g) = %g, want %g\n", vf[i], f, exp[i])
 		}
 	}
+	for i := 0; i < len(vfexpSC); i++ {
+		if f := Exp(vfexpSC[i]); !alike(expSC[i], f) {
+			t.Errorf("Exp(%g) = %g, want %g\n", vfexpSC[i], f, expSC[i])
+		}
+	}
 }
 
 func TestFloor(t *testing.T) {
@@ -456,6 +515,11 @@ func TestFloor(t *testing.T) {
 			t.Errorf("Floor(%g) = %g, want %g\n", vf[i], f, floor[i])
 		}
 	}
+	for i := 0; i < len(vfceilSC); i++ {
+		if f := Floor(vfceilSC[i]); !alike(ceilSC[i], f) {
+			t.Errorf("Floor(%g) = %g, want %g\n", vfceilSC[i], f, ceilSC[i])
+		}
+	}
 }
 
 func TestFmod(t *testing.T) {
@@ -479,7 +543,29 @@ func TestLog(t *testing.T) {
 		}
 	}
 	if f := Log(10); f != Ln10 {
-		t.Errorf("Log(%g) = %g, want %g\n", 10, f, Ln10)
+		t.Errorf("Log(%g) = %g, want %g\n", 10.0, f, Ln10)
+	}
+	for i := 0; i < len(vflogSC); i++ {
+		if f := Log(vflogSC[i]); !alike(logSC[i], f) {
+			t.Errorf("Log(%g) = %g, want %g\n", vflogSC[i], f, logSC[i])
+		}
+	}
+}
+
+func TestLog10(t *testing.T) {
+	for i := 0; i < len(vf); i++ {
+		a := Fabs(vf[i])
+		if f := Log10(a); !veryclose(log10[i], f) {
+			t.Errorf("Log10(%g) = %g, want %g\n", a, f, log10[i])
+		}
+	}
+	if f := Log10(E); f != Log10E {
+		t.Errorf("Log10(%g) = %g, want %g\n", E, f, Log10E)
+	}
+	for i := 0; i < len(vflogSC); i++ {
+		if f := Log10(vflogSC[i]); !alike(logSC[i], f) {
+			t.Errorf("Log10(%g) = %g, want %g\n", vflogSC[i], f, logSC[i])
+		}
 	}
 }
 

src/pkg/math/exp.go

@@ -104,11 +104,13 @@ func Exp(x float64) float64 {
 		NearZero  = 1.0 / (1 << 28) // 2^-28
 	)
 
+	// TODO(rsc): Remove manual inlining of IsNaN, IsInf
+	// when compiler does it for us
 	// special cases
 	switch {
-	case IsNaN(x) || IsInf(x, 1):
+	case x != x || x > MaxFloat64: // IsNaN(x) || IsInf(x, 1):
 		return x
-	case IsInf(x, -1):
+	case x < -MaxFloat64: // IsInf(x, -1):
 		return 0
 	case x > Overflow:
 		return Inf(1)

src/pkg/math/floor.go

@@ -6,7 +6,15 @@ package math
 
 
 // Floor returns the greatest integer value less than or equal to x.
+//
+// Special cases are:
+//	Floor(+Inf) = +Inf
+//	Floor(-Inf) = -Inf
+//	Floor(NaN) = NaN
 func Floor(x float64) float64 {
+	if x != x || x > MaxFloat64 || x < -MaxFloat64 { // IsNaN(x) || IsInf(x, 0)
+		return x
+	}
 	if x < 0 {
 		d, fract := Modf(-x)
 		if fract != 0.0 {
@@ -19,4 +27,9 @@ func Floor(x float64) float64 {
 }
 
 // Ceil returns the least integer value greater than or equal to x.
+//
+// Special cases are:
+//	Ceil(+Inf) = +Inf
+//	Ceil(-Inf) = -Inf
+//	Ceil(NaN) = NaN
 func Ceil(x float64) float64 { return -Floor(-x) }

src/pkg/math/log.go

@@ -90,9 +90,11 @@ func Log(x float64) float64 {
 		L7    = 1.479819860511658591e-01   /* 3FC2F112 DF3E5244 */
 	)
 
+	// TODO(rsc): Remove manual inlining of IsNaN, IsInf
+	// when compiler does it for us
 	// special cases
 	switch {
-	case IsNaN(x) || IsInf(x, 1):
+	case x != x || x > MaxFloat64: // IsNaN(x) || IsInf(x, 1):
 		return x
 	case x < 0:
 		return NaN()
@@ -122,9 +124,4 @@ func Log(x float64) float64 {
 
 // Log10 returns the decimal logarithm of x.
 // The special cases are the same as for Log.
-func Log10(x float64) float64 {
+func Log10(x float64) float64 { return Log(x) * (1 / Ln10) }
-	if x <= 0 {
-		return NaN()
-	}
-	return Log(x) * (1 / Ln10)
-}