math/big: added benchmarks to establish baseline for core functions

BenchmarkAddVV_1          500000000        7.24 ns/op     8844.11 MB/s
BenchmarkAddVV_2          100000000       10.4 ns/op     12290.41 MB/s
BenchmarkAddVV_3          100000000       10.7 ns/op     17966.58 MB/s
BenchmarkAddVV_4          100000000       12.3 ns/op     20848.67 MB/s
BenchmarkAddVV_5          100000000       14.5 ns/op     21993.82 MB/s
BenchmarkAddVV_1e1        100000000       24.0 ns/op     26720.65 MB/s
BenchmarkAddVV_1e2         10000000      246 ns/op       26014.58 MB/s
BenchmarkAddVV_1e3          1000000     2416 ns/op       26485.06 MB/s
BenchmarkAddVV_1e4           100000    23874 ns/op       26806.36 MB/s
BenchmarkAddVV_1e5            10000   241155 ns/op       26538.87 MB/s
BenchmarkAddVW_1          500000000        6.12 ns/op    10461.91 MB/s
BenchmarkAddVW_2          200000000       11.0 ns/op     11596.63 MB/s
BenchmarkAddVW_3          200000000        8.97 ns/op    21409.82 MB/s
BenchmarkAddVW_4          100000000       10.8 ns/op     23696.72 MB/s
BenchmarkAddVW_5          100000000       12.5 ns/op     25524.88 MB/s
BenchmarkAddVW_1e1        100000000       21.5 ns/op     29786.32 MB/s
BenchmarkAddVW_1e2         10000000      168 ns/op       37925.36 MB/s
BenchmarkAddVW_1e3          1000000     1658 ns/op       38579.15 MB/s
BenchmarkAddVW_1e4           100000    16492 ns/op       38805.85 MB/s
BenchmarkAddVW_1e5            10000   172155 ns/op       37175.69 MB/s
BenchmarkAddMulVVW_1      100000000       12.9 ns/op      4968.49 MB/s
BenchmarkAddMulVVW_2      100000000       15.5 ns/op      8279.42 MB/s
BenchmarkAddMulVVW_3      100000000       13.4 ns/op     14340.53 MB/s
BenchmarkAddMulVVW_4      100000000       15.8 ns/op     16194.94 MB/s
BenchmarkAddMulVVW_5      100000000       18.9 ns/op     16906.61 MB/s
BenchmarkAddMulVVW_1e1     50000000       32.3 ns/op     19838.35 MB/s
BenchmarkAddMulVVW_1e2     10000000      285 ns/op       22427.28 MB/s
BenchmarkAddMulVVW_1e3      1000000     2777 ns/op       23040.42 MB/s
BenchmarkAddMulVVW_1e4       100000    27901 ns/op       22938.01 MB/s
BenchmarkAddMulVVW_1e5        10000   281087 ns/op       22768.73 MB/s

R=r
CC=golang-dev
https://golang.org/cl/6478055

src/pkg/math/big/arith_test.go

@@ -4,7 +4,10 @@
 
 package big
 
-import "testing"
+import (
+	"math/rand"
+	"testing"
+)
 
 type funWW func(x, y, c Word) (z1, z0 Word)
 type argWW struct {
@@ -100,6 +103,43 @@ func TestFunVV(t *testing.T) {
 	}
 }
 
+// Always the same seed for reproducible results.
+var rnd = rand.New(rand.NewSource(0))
+
+func rndW() Word {
+	return Word(rnd.Int63()<<1 | rnd.Int63n(2))
+}
+
+func rndV(n int) []Word {
+	v := make([]Word, n)
+	for i := range v {
+		v[i] = rndW()
+	}
+	return v
+}
+
+func benchmarkFunVV(b *testing.B, f funVV, n int) {
+	x := rndV(n)
+	y := rndV(n)
+	z := make([]Word, n)
+	b.SetBytes(int64(n * _W))
+	b.ResetTimer()
+	for i := 0; i < b.N; i++ {
+		f(z, x, y)
+	}
+}
+
+func BenchmarkAddVV_1(b *testing.B)   { benchmarkFunVV(b, addVV, 1) }
+func BenchmarkAddVV_2(b *testing.B)   { benchmarkFunVV(b, addVV, 2) }
+func BenchmarkAddVV_3(b *testing.B)   { benchmarkFunVV(b, addVV, 3) }
+func BenchmarkAddVV_4(b *testing.B)   { benchmarkFunVV(b, addVV, 4) }
+func BenchmarkAddVV_5(b *testing.B)   { benchmarkFunVV(b, addVV, 5) }
+func BenchmarkAddVV_1e1(b *testing.B) { benchmarkFunVV(b, addVV, 1e1) }
+func BenchmarkAddVV_1e2(b *testing.B) { benchmarkFunVV(b, addVV, 1e2) }
+func BenchmarkAddVV_1e3(b *testing.B) { benchmarkFunVV(b, addVV, 1e3) }
+func BenchmarkAddVV_1e4(b *testing.B) { benchmarkFunVV(b, addVV, 1e4) }
+func BenchmarkAddVV_1e5(b *testing.B) { benchmarkFunVV(b, addVV, 1e5) }
+
 type funVW func(z, x []Word, y Word) (c Word)
 type argVW struct {
 	z, x nat
@@ -210,6 +250,28 @@ func TestFunVW(t *testing.T) {
 	}
 }
 
+func benchmarkFunVW(b *testing.B, f funVW, n int) {
+	x := rndV(n)
+	y := rndW()
+	z := make([]Word, n)
+	b.SetBytes(int64(n * _W))
+	b.ResetTimer()
+	for i := 0; i < b.N; i++ {
+		f(z, x, y)
+	}
+}
+
+func BenchmarkAddVW_1(b *testing.B)   { benchmarkFunVW(b, addVW, 1) }
+func BenchmarkAddVW_2(b *testing.B)   { benchmarkFunVW(b, addVW, 2) }
+func BenchmarkAddVW_3(b *testing.B)   { benchmarkFunVW(b, addVW, 3) }
+func BenchmarkAddVW_4(b *testing.B)   { benchmarkFunVW(b, addVW, 4) }
+func BenchmarkAddVW_5(b *testing.B)   { benchmarkFunVW(b, addVW, 5) }
+func BenchmarkAddVW_1e1(b *testing.B) { benchmarkFunVW(b, addVW, 1e1) }
+func BenchmarkAddVW_1e2(b *testing.B) { benchmarkFunVW(b, addVW, 1e2) }
+func BenchmarkAddVW_1e3(b *testing.B) { benchmarkFunVW(b, addVW, 1e3) }
+func BenchmarkAddVW_1e4(b *testing.B) { benchmarkFunVW(b, addVW, 1e4) }
+func BenchmarkAddVW_1e5(b *testing.B) { benchmarkFunVW(b, addVW, 1e5) }
+
 type funVWW func(z, x []Word, y, r Word) (c Word)
 type argVWW struct {
 	z, x nat
@@ -334,6 +396,28 @@ func TestMulAddWWW(t *testing.T) {
 	}
 }
 
+func benchmarkAddMulVVW(b *testing.B, n int) {
+	x := rndV(n)
+	y := rndW()
+	z := make([]Word, n)
+	b.SetBytes(int64(n * _W))
+	b.ResetTimer()
+	for i := 0; i < b.N; i++ {
+		addMulVVW(z, x, y)
+	}
+}
+
+func BenchmarkAddMulVVW_1(b *testing.B)   { benchmarkAddMulVVW(b, 1) }
+func BenchmarkAddMulVVW_2(b *testing.B)   { benchmarkAddMulVVW(b, 2) }
+func BenchmarkAddMulVVW_3(b *testing.B)   { benchmarkAddMulVVW(b, 3) }
+func BenchmarkAddMulVVW_4(b *testing.B)   { benchmarkAddMulVVW(b, 4) }
+func BenchmarkAddMulVVW_5(b *testing.B)   { benchmarkAddMulVVW(b, 5) }
+func BenchmarkAddMulVVW_1e1(b *testing.B) { benchmarkAddMulVVW(b, 1e1) }
+func BenchmarkAddMulVVW_1e2(b *testing.B) { benchmarkAddMulVVW(b, 1e2) }
+func BenchmarkAddMulVVW_1e3(b *testing.B) { benchmarkAddMulVVW(b, 1e3) }
+func BenchmarkAddMulVVW_1e4(b *testing.B) { benchmarkAddMulVVW(b, 1e4) }
+func BenchmarkAddMulVVW_1e5(b *testing.B) { benchmarkAddMulVVW(b, 1e5) }
+
 func testWordBitLen(t *testing.T, fname string, f func(Word) int) {
 	for i := 0; i <= _W; i++ {
 		x := Word(1) << uint(i-1) // i == 0 => x == 0

src/pkg/math/big/nat_test.go

@@ -6,7 +6,6 @@ package big
 
 import (
 	"io"
-	"math/rand"
 	"runtime"
 	"strings"
 	"testing"
@@ -192,19 +191,14 @@ func TestMulUnbalanced(t *testing.T) {
 	}
 }
 
-var rnd = rand.New(rand.NewSource(0x43de683f473542af))
-var mulx = rndNat(1e4)
-var muly = rndNat(1e4)
-
 func rndNat(n int) nat {
-	x := make(nat, n)
+	return nat(rndV(n)).norm()
-	for i := 0; i < n; i++ {
-		x[i] = Word(rnd.Int63()<<1 + rnd.Int63n(2))
-	}
-	return x.norm()
 }
 
 func BenchmarkMul(b *testing.B) {
+	mulx := rndNat(1e4)
+	muly := rndNat(1e4)
+	b.ResetTimer()
 	for i := 0; i < b.N; i++ {
 		var z nat
 		z.mul(mulx, muly)