mirror of
https://github.com/golang/go
synced 2024-11-12 06:20:22 -07:00
hilbert now runs.
it's 25% faster and runs with 40% less memory allocation than before R=rsc DELTA=20 (15 added, 0 deleted, 5 changed) OCL=21690 CL=21690
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@ -793,7 +793,10 @@ export func Fact(n uint) Natural {
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export func Binomial(n, k uint) Natural {
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return MulRange(n-k+1, n).Div(MulRange(1, k));
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//BUG return MulRange(n-k+1, n).Div(MulRange(1, k));
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x := MulRange(n-k+1, n);
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y := MulRange(1, k);
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return x.Div(y);
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}
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@ -82,7 +82,7 @@ func NewHilbert(n int) *Matrix {
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}
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func MakeRat(x *Big.Natural) *Big.Rational {
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func MakeRat(x Big.Natural) *Big.Rational {
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return Big.MakeRat(Big.MakeInt(false, x), Big.Nat(1));
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}
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@ -100,7 +100,12 @@ func NewInverseHilbert(n int) *Matrix {
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x3 := MakeRat(Big.Binomial(uint(n+j), uint(n-i-1)));
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x4 := MakeRat(Big.Binomial(uint(i+j), uint(i)));
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x4 = x4.Mul(x4);
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a.set(i, j, x0.Mul(x1).Mul(x2).Mul(x3).Mul(x4));
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// BUG a.set(i, j, x0.Mul(x1).Mul(x2).Mul(x3).Mul(x4));
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y1 := x0.Mul(x1);
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y2 := y1.Mul(x2);
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y3 := y2.Mul(x3);
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y4 := y3.Mul(x4);
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a.set(i, j, y4);
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}
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}
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return a;
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@ -114,7 +119,11 @@ func (a *Matrix) Mul(b *Matrix) *Matrix {
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for j := 0; j < c.m; j++ {
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x := Zero;
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for k := 0; k < a.m; k++ {
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x = x.Add(a.at(i, k).Mul(b.at(k, j)));
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//BUG x = x.Add(a.at(i, k).Mul(b.at(k, j)));
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a1 := a.at(i, k);
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b1 := b.at(k, j);
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a2 := a1.Mul(b1);
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x = x.Add(a2);
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}
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c.set(i, j, x);
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}
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@ -129,7 +138,10 @@ func (a *Matrix) Eql(b *Matrix) bool {
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}
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for i := 0; i < a.n; i++ {
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for j := 0; j < a.m; j++ {
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if a.at(i, j).Cmp(b.at(i,j)) != 0 {
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// BUG if a.at(i, j).Cmp(b.at(i,j)) != 0 {
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a1 := a.at(i, j);
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b1 := b.at(i,j);
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if a1.Cmp(b1) != 0 {
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return false;
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}
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}
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