mirror of
https://github.com/golang/go
synced 2024-11-20 05:04:43 -07:00
- bignum.AndNot
- corresponding test cases - some cleanups R=rsc DELTA=173 (68 added, 3 deleted, 102 changed) OCL=31866 CL=31869
This commit is contained in:
Robert Griesemer
parent
f664d0e904
commit
9e2fa390da
@ -614,6 +614,25 @@ func copy(z, x []digit) {
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}
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// AndNot returns the ``bitwise clear'' x &^ y for the binary representation of x and y.
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//
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func (x Natural) AndNot(y Natural) Natural {
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n := len(x);
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m := len(y);
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if n < m {
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m = n;
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}
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z := make(Natural, n);
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for i := 0; i < m; i++ {
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z[i] = x[i] &^ y[i];
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}
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copy(z[m : n], x[m : n]);
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return normalize(z);
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}
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// Or returns the ``bitwise or'' x | y for the binary representation of x and y.
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//
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func (x Natural) Or(y Natural) Natural {
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@ -1215,39 +1234,51 @@ func (x *Integer) Shl(s uint) *Integer {
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// Implementation restriction: Shl is not yet implemented for negative x.
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//
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func (x *Integer) Shr(s uint) *Integer {
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z := MakeInt(x.sign, x.mant.Shr(s));
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if x.IsNeg() {
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panic("UNIMPLEMENTED Integer.Shr of negative values");
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if !x.sign {
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return MakeInt(false, x.mant.Shr(s));
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}
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return z;
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panic("UNIMPLEMENTED Integer.Shr of negative value");
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return nil;
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}
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// And returns the ``bitwise and'' x & y for the binary representation of x and y.
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// Implementation restriction: And is not implemented for negative x.
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// Implementation restriction: And is not implemented for negative integers.
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//
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func (x *Integer) And(y *Integer) *Integer {
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var z *Integer;
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if !x.sign && !y.sign {
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z = MakeInt(false, x.mant.And(y.mant));
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} else {
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panic("UNIMPLEMENTED Integer.And of negative values");
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return MakeInt(false, x.mant.And(y.mant));
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}
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return z;
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panic("UNIMPLEMENTED Integer.And of negative values");
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return nil;
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}
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// AndNot returns the ``bitwise clear'' x &^ y for the binary representation of x and y.
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// Implementation restriction: AndNot is not implemented for negative integers.
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//
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func (x *Integer) AndNot(y *Integer) *Integer {
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if !x.sign && !y.sign {
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return MakeInt(false, x.mant.AndNot(y.mant));
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}
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panic("UNIMPLEMENTED Integer.AndNot of negative values");
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return nil;
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}
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// Or returns the ``bitwise or'' x | y for the binary representation of x and y.
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// Implementation restriction: Or is not implemented for negative x.
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// Implementation restriction: Or is not implemented for negative integers.
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//
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func (x *Integer) Or(y *Integer) *Integer {
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var z *Integer;
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if !x.sign && !y.sign {
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z = MakeInt(false, x.mant.Or(y.mant));
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} else {
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panic("UNIMPLEMENTED Integer.Or of negative values");
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return MakeInt(false, x.mant.Or(y.mant));
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}
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return z;
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panic("UNIMPLEMENTED Integer.Or of negative values");
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return nil;
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}
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@ -1255,13 +1286,12 @@ func (x *Integer) Or(y *Integer) *Integer {
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// Implementation restriction: Xor is not implemented for negative integers.
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//
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func (x *Integer) Xor(y *Integer) *Integer {
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var z *Integer;
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if !x.sign && !y.sign {
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z = MakeInt(false, x.mant.Xor(y.mant));
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} else {
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panic("UNIMPLEMENTED Integer.Xor of negative values");
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return MakeInt(false, x.mant.Xor(y.mant));
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}
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return z;
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panic("UNIMPLEMENTED Integer.Xor of negative values");
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return nil;
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}
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@ -2,12 +2,12 @@
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package bignum_test
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package bignum
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import (
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bignum "bignum";
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fmt "fmt";
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testing "testing";
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"bignum";
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"fmt";
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"testing";
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)
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const (
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@ -19,8 +19,8 @@ const (
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sp = "170141183460469231731687303715884105727"; // prime
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)
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func natFromString(s string, base uint, slen *int) bignum.Natural {
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x, _, len := bignum.NatFromString(s, base);
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func natFromString(s string, base uint, slen *int) Natural {
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x, _, len := NatFromString(s, base);
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if slen != nil {
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*slen = len;
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}
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@ -28,8 +28,8 @@ func natFromString(s string, base uint, slen *int) bignum.Natural {
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}
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func intFromString(s string, base uint, slen *int) *bignum.Integer {
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x, _, len := bignum.IntFromString(s, base);
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func intFromString(s string, base uint, slen *int) *Integer {
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x, _, len := IntFromString(s, base);
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if slen != nil {
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*slen = len;
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}
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@ -37,8 +37,8 @@ func intFromString(s string, base uint, slen *int) *bignum.Integer {
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}
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func ratFromString(s string, base uint, slen *int) *bignum.Rational {
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x, _, len := bignum.RatFromString(s, base);
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func ratFromString(s string, base uint, slen *int) *Rational {
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x, _, len := RatFromString(s, base);
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if slen != nil {
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*slen = len;
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}
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@ -47,25 +47,25 @@ func ratFromString(s string, base uint, slen *int) *bignum.Rational {
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var (
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nat_zero = bignum.Nat(0);
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nat_one = bignum.Nat(1);
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nat_two = bignum.Nat(2);
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nat_zero = Nat(0);
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nat_one = Nat(1);
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nat_two = Nat(2);
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a = natFromString(sa, 10, nil);
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b = natFromString(sb, 10, nil);
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c = natFromString(sc, 10, nil);
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p = natFromString(sp, 10, nil);
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int_zero = bignum.Int(0);
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int_one = bignum.Int(1);
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int_two = bignum.Int(2);
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int_zero = Int(0);
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int_one = Int(1);
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int_two = Int(2);
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ip = intFromString(sp, 10, nil);
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rat_zero = bignum.Rat(0, 1);
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rat_half = bignum.Rat(1, 2);
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rat_one = bignum.Rat(1, 1);
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rat_two = bignum.Rat(2, 1);
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rat_zero = Rat(0, 1);
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rat_half = Rat(1, 2);
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rat_one = Rat(1, 1);
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rat_two = Rat(2, 1);
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)
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@ -79,21 +79,21 @@ func test(n uint, b bool) {
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}
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func nat_eq(n uint, x, y bignum.Natural) {
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func nat_eq(n uint, x, y Natural) {
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if x.Cmp(y) != 0 {
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tester.Fatalf("TEST failed: %s (%d)\nx = %v\ny = %v", test_msg, n, &x, &y);
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}
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}
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func int_eq(n uint, x, y *bignum.Integer) {
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func int_eq(n uint, x, y *Integer) {
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if x.Cmp(y) != 0 {
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tester.Fatalf("TEST failed: %s (%d)\nx = %v\ny = %v", test_msg, n, x, y);
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}
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}
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func rat_eq(n uint, x, y *bignum.Rational) {
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func rat_eq(n uint, x, y *Rational) {
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if x.Cmp(y) != 0 {
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tester.Fatalf("TEST failed: %s (%d)\nx = %v\ny = %v", test_msg, n, x, y);
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}
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@ -112,21 +112,21 @@ func TestNatConv(t *testing.T) {
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entry1{18446744073709551615, "18446744073709551615"},
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};
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for i, e := range tab {
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test(100 + uint(i), bignum.Nat(e.x).String() == e.s);
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test(100 + uint(i), Nat(e.x).String() == e.s);
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test(200 + uint(i), natFromString(e.s, 0, nil).Value() == e.x);
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}
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test_msg = "NatConvC";
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z := uint64(7);
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for i := uint(0); i <= 64; i++ {
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test(i, bignum.Nat(z).Value() == z);
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test(i, Nat(z).Value() == z);
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z <<= 1;
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}
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test_msg = "NatConvD";
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nat_eq(0, a, bignum.Nat(991));
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nat_eq(1, b, bignum.Fact(20));
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nat_eq(2, c, bignum.Fact(100));
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nat_eq(0, a, Nat(991));
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nat_eq(1, b, Fact(20));
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nat_eq(2, c, Fact(100));
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test(3, a.String() == sa);
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test(4, b.String() == sb);
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test(5, c.String() == sc);
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@ -134,10 +134,10 @@ func TestNatConv(t *testing.T) {
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test_msg = "NatConvE";
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var slen int;
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nat_eq(10, natFromString("0", 0, nil), nat_zero);
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nat_eq(11, natFromString("123", 0, nil), bignum.Nat(123));
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nat_eq(12, natFromString("077", 0, nil), bignum.Nat(7*8 + 7));
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nat_eq(13, natFromString("0x1f", 0, nil), bignum.Nat(1*16 + 15));
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nat_eq(14, natFromString("0x1fg", 0, &slen), bignum.Nat(1*16 + 15));
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nat_eq(11, natFromString("123", 0, nil), Nat(123));
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nat_eq(12, natFromString("077", 0, nil), Nat(7*8 + 7));
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nat_eq(13, natFromString("0x1f", 0, nil), Nat(1*16 + 15));
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nat_eq(14, natFromString("0x1fg", 0, &slen), Nat(1*16 + 15));
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test(4, slen == 4);
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test_msg = "NatConvF";
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@ -147,8 +147,8 @@ func TestNatConv(t *testing.T) {
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}
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test_msg = "NatConvG";
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x := bignum.Nat(100);
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y, b, _ := bignum.NatFromString(fmt.Sprintf("%b", &x), 2);
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x := Nat(100);
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y, b, _ := NatFromString(fmt.Sprintf("%b", &x), 2);
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nat_eq(100, y, x);
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}
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@ -177,27 +177,27 @@ func TestIntConv(t *testing.T) {
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entry2{9223372036854775807, "9223372036854775807"},
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};
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for i, e := range tab {
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test(100 + uint(i), bignum.Int(e.x).String() == e.s);
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test(100 + uint(i), Int(e.x).String() == e.s);
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test(200 + uint(i), intFromString(e.s, 0, nil).Value() == e.x);
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test(300 + uint(i), bignum.Int(e.x).Abs().Value() == abs(e.x));
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test(300 + uint(i), Int(e.x).Abs().Value() == abs(e.x));
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}
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test_msg = "IntConvB";
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var slen int;
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int_eq(0, intFromString("0", 0, nil), int_zero);
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int_eq(1, intFromString("-0", 0, nil), int_zero);
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int_eq(2, intFromString("123", 0, nil), bignum.Int(123));
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int_eq(3, intFromString("-123", 0, nil), bignum.Int(-123));
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int_eq(4, intFromString("077", 0, nil), bignum.Int(7*8 + 7));
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int_eq(5, intFromString("-077", 0, nil), bignum.Int(-(7*8 + 7)));
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int_eq(6, intFromString("0x1f", 0, nil), bignum.Int(1*16 + 15));
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int_eq(7, intFromString("-0x1f", 0, &slen), bignum.Int(-(1*16 + 15)));
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int_eq(2, intFromString("123", 0, nil), Int(123));
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int_eq(3, intFromString("-123", 0, nil), Int(-123));
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int_eq(4, intFromString("077", 0, nil), Int(7*8 + 7));
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int_eq(5, intFromString("-077", 0, nil), Int(-(7*8 + 7)));
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int_eq(6, intFromString("0x1f", 0, nil), Int(1*16 + 15));
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int_eq(7, intFromString("-0x1f", 0, &slen), Int(-(1*16 + 15)));
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test(7, slen == 5);
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int_eq(8, intFromString("+0x1f", 0, &slen), bignum.Int(+(1*16 + 15)));
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int_eq(8, intFromString("+0x1f", 0, &slen), Int(+(1*16 + 15)));
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test(8, slen == 5);
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int_eq(9, intFromString("0x1fg", 0, &slen), bignum.Int(1*16 + 15));
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int_eq(9, intFromString("0x1fg", 0, &slen), Int(1*16 + 15));
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test(9, slen == 4);
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int_eq(10, intFromString("-0x1fg", 0, &slen), bignum.Int(-(1*16 + 15)));
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int_eq(10, intFromString("-0x1fg", 0, &slen), Int(-(1*16 + 15)));
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test(10, slen == 5);
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}
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@ -212,20 +212,20 @@ func TestRatConv(t *testing.T) {
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rat_eq(3, ratFromString("0x14/10", 0, &slen), rat_two);
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test(4, slen == 7);
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rat_eq(5, ratFromString("0.", 0, nil), rat_zero);
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rat_eq(6, ratFromString("0.001f", 10, nil), bignum.Rat(1, 1000));
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rat_eq(7, ratFromString(".1", 0, nil), bignum.Rat(1, 10));
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rat_eq(8, ratFromString("10101.0101", 2, nil), bignum.Rat(0x155, 1<<4));
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rat_eq(9, ratFromString("-0003.145926", 10, &slen), bignum.Rat(-3145926, 1000000));
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rat_eq(6, ratFromString("0.001f", 10, nil), Rat(1, 1000));
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rat_eq(7, ratFromString(".1", 0, nil), Rat(1, 10));
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rat_eq(8, ratFromString("10101.0101", 2, nil), Rat(0x155, 1<<4));
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rat_eq(9, ratFromString("-0003.145926", 10, &slen), Rat(-3145926, 1000000));
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test(10, slen == 12);
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rat_eq(11, ratFromString("1e2", 0, nil), bignum.Rat(100, 1));
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rat_eq(12, ratFromString("1e-2", 0, nil), bignum.Rat(1, 100));
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rat_eq(13, ratFromString("1.1e2", 0, nil), bignum.Rat(110, 1));
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rat_eq(14, ratFromString(".1e2x", 0, &slen), bignum.Rat(10, 1));
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rat_eq(11, ratFromString("1e2", 0, nil), Rat(100, 1));
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rat_eq(12, ratFromString("1e-2", 0, nil), Rat(1, 100));
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rat_eq(13, ratFromString("1.1e2", 0, nil), Rat(110, 1));
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rat_eq(14, ratFromString(".1e2x", 0, &slen), Rat(10, 1));
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test(15, slen == 4);
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}
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func add(x, y bignum.Natural) bignum.Natural {
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func add(x, y Natural) Natural {
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z1 := x.Add(y);
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z2 := y.Add(x);
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if z1.Cmp(z2) != 0 {
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@ -235,10 +235,10 @@ func add(x, y bignum.Natural) bignum.Natural {
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}
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func sum(n uint64, scale bignum.Natural) bignum.Natural {
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func sum(n uint64, scale Natural) Natural {
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s := nat_zero;
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for ; n > 0; n-- {
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s = add(s, bignum.Nat(n).Mul(scale));
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s = add(s, Nat(n).Mul(scale));
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}
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return s;
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}
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@ -252,13 +252,13 @@ func TestNatAdd(t *testing.T) {
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test_msg = "NatAddB";
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for i := uint64(0); i < 100; i++ {
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t := bignum.Nat(i);
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t := Nat(i);
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nat_eq(uint(i), sum(i, c), t.Mul(t).Add(t).Shr(1).Mul(c));
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}
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}
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func mul(x, y bignum.Natural) bignum.Natural {
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func mul(x, y Natural) Natural {
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z1 := x.Mul(y);
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z2 := y.Mul(x);
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if z1.Cmp(z2) != 0 {
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@ -284,7 +284,7 @@ func TestNatSub(t *testing.T) {
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for i := uint64(0); i < 100; i++ {
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t := sum(i, c);
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for j := uint64(0); j <= i; j++ {
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t = t.Sub(mul(bignum.Nat(j), c));
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t = t.Sub(mul(Nat(j), c));
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}
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nat_eq(uint(i), t, nat_zero);
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}
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@ -298,8 +298,8 @@ func TestNatMul(t *testing.T) {
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nat_eq(1, mul(c, nat_one), c);
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test_msg = "NatMulB";
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nat_eq(0, b.Mul(bignum.MulRange(0, 100)), nat_zero);
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nat_eq(1, b.Mul(bignum.MulRange(21, 100)), c);
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nat_eq(0, b.Mul(MulRange(0, 100)), nat_zero);
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nat_eq(1, b.Mul(MulRange(21, 100)), c);
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test_msg = "NatMulC";
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const n = 100;
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@ -314,16 +314,16 @@ func TestNatDiv(t *testing.T) {
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tester = t;
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test_msg = "NatDivA";
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nat_eq(0, c.Div(nat_one), c);
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nat_eq(1, c.Div(bignum.Nat(100)), bignum.Fact(99));
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nat_eq(1, c.Div(Nat(100)), Fact(99));
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nat_eq(2, b.Div(c), nat_zero);
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nat_eq(4, nat_one.Shl(100).Div(nat_one.Shl(90)), nat_one.Shl(10));
|
||||
nat_eq(5, c.Div(b), bignum.MulRange(21, 100));
|
||||
nat_eq(5, c.Div(b), MulRange(21, 100));
|
||||
|
||||
test_msg = "NatDivB";
|
||||
const n = 100;
|
||||
p := bignum.Fact(n);
|
||||
p := Fact(n);
|
||||
for i := uint(0); i < n; i++ {
|
||||
nat_eq(100+i, p.Div(bignum.MulRange(1, i)), bignum.MulRange(i+1, n));
|
||||
nat_eq(100+i, p.Div(MulRange(1, i)), MulRange(i+1, n));
|
||||
}
|
||||
}
|
||||
|
||||
@ -344,8 +344,8 @@ func TestIntQuoRem(t *testing.T) {
|
||||
};
|
||||
for i := uint(0); i < uint(len(a)); i++ {
|
||||
e := &a[i];
|
||||
x, y := bignum.Int(e.x).Mul(ip), bignum.Int(e.y).Mul(ip);
|
||||
q, r := bignum.Int(e.q), bignum.Int(e.r).Mul(ip);
|
||||
x, y := Int(e.x).Mul(ip), Int(e.y).Mul(ip);
|
||||
q, r := Int(e.q), Int(e.r).Mul(ip);
|
||||
qq, rr := x.QuoRem(y);
|
||||
int_eq(4*i+0, x.Quo(y), q);
|
||||
int_eq(4*i+1, x.Rem(y), r);
|
||||
@ -371,8 +371,8 @@ func TestIntDivMod(t *testing.T) {
|
||||
};
|
||||
for i := uint(0); i < uint(len(a)); i++ {
|
||||
e := &a[i];
|
||||
x, y := bignum.Int(e.x).Mul(ip), bignum.Int(e.y).Mul(ip);
|
||||
q, r := bignum.Int(e.q), bignum.Int(e.r).Mul(ip);
|
||||
x, y := Int(e.x).Mul(ip), Int(e.y).Mul(ip);
|
||||
q, r := Int(e.q), Int(e.r).Mul(ip);
|
||||
qq, rr := x.DivMod(y);
|
||||
int_eq(4*i+0, x.Div(y), q);
|
||||
int_eq(4*i+1, x.Mod(y), r);
|
||||
@ -416,7 +416,7 @@ func TestNatShift(t *testing.T) {
|
||||
test_msg = "NatShift3L";
|
||||
{ const m = 3;
|
||||
p := b;
|
||||
f := bignum.Nat(1<<m);
|
||||
f := Nat(1<<m);
|
||||
for i := uint(0); i < 100; i++ {
|
||||
nat_eq(i, b.Shl(i*m), p);
|
||||
p = mul(p, f);
|
||||
@ -451,7 +451,7 @@ func TestIntShift(t *testing.T) {
|
||||
test_msg = "IntShift3L";
|
||||
{ const m = 3;
|
||||
p := ip;
|
||||
f := bignum.Int(1<<m);
|
||||
f := Int(1<<m);
|
||||
for i := uint(0); i < 100; i++ {
|
||||
int_eq(i, ip.Shl(i*m), p);
|
||||
p = p.Mul(f);
|
||||
@ -467,8 +467,43 @@ func TestIntShift(t *testing.T) {
|
||||
}
|
||||
|
||||
test_msg = "IntShift4R";
|
||||
//int_eq(0, bignum.Int(-43).Shr(1), bignum.Int(-43 >> 1));
|
||||
//int_eq(1, ip.Neg().Shr(10), ip.Neg().Div(bignum.Int(1).Shl(10)));
|
||||
//int_eq(0, Int(-43).Shr(1), Int(-43 >> 1));
|
||||
//int_eq(1, ip.Neg().Shr(10), ip.Neg().Div(Int(1).Shl(10)));
|
||||
}
|
||||
|
||||
|
||||
func TestNatBitOps(t *testing.T) {
|
||||
tester = t;
|
||||
|
||||
x := uint64(0xf08e6f56bd8c3941);
|
||||
y := uint64(0x3984ef67834bc);
|
||||
|
||||
bx := Nat(x);
|
||||
by := Nat(y);
|
||||
|
||||
test_msg = "NatAnd";
|
||||
bz := Nat(x & y);
|
||||
for i := uint(0); i < 100; i++ {
|
||||
nat_eq(i, bx.Shl(i).And(by.Shl(i)), bz.Shl(i));
|
||||
}
|
||||
|
||||
test_msg = "NatAndNot";
|
||||
bz = Nat(x &^ y);
|
||||
for i := uint(0); i < 100; i++ {
|
||||
nat_eq(i, bx.Shl(i).AndNot(by.Shl(i)), bz.Shl(i));
|
||||
}
|
||||
|
||||
test_msg = "NatOr";
|
||||
bz = Nat(x | y);
|
||||
for i := uint(0); i < 100; i++ {
|
||||
nat_eq(i, bx.Shl(i).Or(by.Shl(i)), bz.Shl(i));
|
||||
}
|
||||
|
||||
test_msg = "NatXor";
|
||||
bz = Nat(x ^ y);
|
||||
for i := uint(0); i < 100; i++ {
|
||||
nat_eq(i, bx.Shl(i).Xor(by.Shl(i)), bz.Shl(i));
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
@ -490,8 +525,8 @@ func TestNatLog2(t *testing.T) {
|
||||
test_msg = "NatLog2A";
|
||||
test(0, nat_one.Log2() == 0);
|
||||
test(1, nat_two.Log2() == 1);
|
||||
test(2, bignum.Nat(3).Log2() == 1);
|
||||
test(3, bignum.Nat(4).Log2() == 2);
|
||||
test(2, Nat(3).Log2() == 1);
|
||||
test(3, Nat(4).Log2() == 2);
|
||||
|
||||
test_msg = "NatLog2B";
|
||||
for i := uint(0); i < 100; i++ {
|
||||
@ -503,8 +538,8 @@ func TestNatLog2(t *testing.T) {
|
||||
func TestNatGcd(t *testing.T) {
|
||||
tester = t;
|
||||
test_msg = "NatGcdA";
|
||||
f := bignum.Nat(99991);
|
||||
nat_eq(0, b.Mul(f).Gcd(c.Mul(f)), bignum.MulRange(1, 20).Mul(f));
|
||||
f := Nat(99991);
|
||||
nat_eq(0, b.Mul(f).Gcd(c.Mul(f)), MulRange(1, 20).Mul(f));
|
||||
}
|
||||
|
||||
|
||||
@ -525,9 +560,9 @@ func TestNatPop(t *testing.T) {
|
||||
test_msg = "NatPopA";
|
||||
test(0, nat_zero.Pop() == 0);
|
||||
test(1, nat_one.Pop() == 1);
|
||||
test(2, bignum.Nat(10).Pop() == 2);
|
||||
test(3, bignum.Nat(30).Pop() == 4);
|
||||
test(4, bignum.Nat(0x1248f).Shl(33).Pop() == 8);
|
||||
test(2, Nat(10).Pop() == 2);
|
||||
test(3, Nat(30).Pop() == 4);
|
||||
test(4, Nat(0x1248f).Shl(33).Pop() == 8);
|
||||
|
||||
test_msg = "NatPopB";
|
||||
for i := uint(0); i < 100; i++ {
|
||||
|
||||
Loading…
Reference in New Issue
Block a user