version3/go/DBIG.go

/*
Licensed to the Apache Software Foundation (ASF) under one
or more contributor license agreements.  See the NOTICE file
distributed with this work for additional information
regarding copyright ownership.  The ASF licenses this file
to you under the Apache License, Version 2.0 (the
"License"); you may not use this file except in compliance
with the License.  You may obtain a copy of the License at

  http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing,
software distributed under the License is distributed on an
"AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
KIND, either express or implied.  See the License for the
specific language governing permissions and limitations
under the License.
*/

/* MiotCL double length DBIG number class */

package XXX

import "strconv"

//import "fmt"

func NewDBIG() *DBIG {
	b := new(DBIG)
	for i := 0; i < DNLEN; i++ {
		b.w[i] = 0
	}
	return b
}

func NewDBIGcopy(x *DBIG) *DBIG {
	b := new(DBIG)
	for i := 0; i < DNLEN; i++ {
		b.w[i] = x.w[i]
	}
	return b
}

func NewDBIGscopy(x *BIG) *DBIG {
	b := new(DBIG)
	for i := 0; i < NLEN-1; i++ {
		b.w[i] = x.w[i]
	}
	b.w[NLEN-1] = x.get(NLEN-1) & BMASK /* top word normalized */
	b.w[NLEN] = x.get(NLEN-1) >> BASEBITS

	for i := NLEN + 1; i < DNLEN; i++ {
		b.w[i] = 0
	}
	return b
}

/* normalise this */
func (r *DBIG) norm() {
	carry := Chunk(0)
	for i := 0; i < DNLEN-1; i++ {
		d := r.w[i] + carry
		r.w[i] = d & BMASK
		carry = d >> BASEBITS
	}
	r.w[DNLEN-1] = (r.w[DNLEN-1] + carry)
}

/* split DBIG at position n, return higher half, keep lower half */
func (r *DBIG) split(n uint) *BIG {
	t := NewBIG()
	m := n % BASEBITS
	carry := r.w[DNLEN-1] << (BASEBITS - m)

	for i := DNLEN - 2; i >= NLEN-1; i-- {
		nw := (r.w[i] >> m) | carry
		carry = (r.w[i] << (BASEBITS - m)) & BMASK
		t.set(i-NLEN+1, nw)
	}
	r.w[NLEN-1] &= ((Chunk(1) << m) - 1)
	return t
}

func (r *DBIG) cmove(g *DBIG, d int) {
	var b = Chunk(-d)

	for i := 0; i < DNLEN; i++ {
		r.w[i] ^= (r.w[i] ^ g.w[i]) & b
	}
}

/* Compare a and b, return 0 if a==b, -1 if a<b, +1 if a>b. Inputs must be normalised */
func dcomp(a *DBIG, b *DBIG) int {
	for i := DNLEN - 1; i >= 0; i-- {
		if a.w[i] == b.w[i] {
			continue
		}
		if a.w[i] > b.w[i] {
			return 1
		} else {
			return -1
		}
	}
	return 0
}

/* Copy from another DBIG */
func (r *DBIG) copy(x *DBIG) {
	for i := 0; i < DNLEN; i++ {
		r.w[i] = x.w[i]
	}
}

/* Copy from another BIG to upper half */
func (r *DBIG) ucopy(x *BIG) {
	for i := 0; i < NLEN; i++ {
		r.w[i] = 0
	}
	for i := NLEN; i < DNLEN; i++ {
		r.w[i] = x.w[i-NLEN]
	}
}

func (r *DBIG) add(x *DBIG) {
	for i := 0; i < DNLEN; i++ {
		r.w[i] = r.w[i] + x.w[i]
	}
}

/* this-=x */
func (r *DBIG) sub(x *DBIG) {
	for i := 0; i < DNLEN; i++ {
		r.w[i] = r.w[i] - x.w[i]
	}
}

/* this-=x */
func (r *DBIG) rsub(x *DBIG) {
	for i := 0; i < DNLEN; i++ {
		r.w[i] = x.w[i] - r.w[i]
	}
}

/* general shift left */
func (r *DBIG) shl(k uint) {
	n := k % BASEBITS
	m := int(k / BASEBITS)

	r.w[DNLEN-1] = (r.w[DNLEN-1-m] << n) | (r.w[DNLEN-m-2] >> (BASEBITS - n))
	for i := DNLEN - 2; i > m; i-- {
		r.w[i] = ((r.w[i-m] << n) & BMASK) | (r.w[i-m-1] >> (BASEBITS - n))
	}
	r.w[m] = (r.w[0] << n) & BMASK
	for i := 0; i < m; i++ {
		r.w[i] = 0
	}
}

/* general shift right */
func (r *DBIG) shr(k uint) {
	n := (k % BASEBITS)
	m := int(k / BASEBITS)
	for i := 0; i < DNLEN-m-1; i++ {
		r.w[i] = (r.w[m+i] >> n) | ((r.w[m+i+1] << (BASEBITS - n)) & BMASK)
	}
	r.w[DNLEN-m-1] = r.w[DNLEN-1] >> n
	for i := DNLEN - m; i < DNLEN; i++ {
		r.w[i] = 0
	}
}

/* set x = x mod 2^m */
func (r *BIG) mod2m(m uint) {
	wd := int(m / BASEBITS)
	bt := m % BASEBITS
	msk := (Chunk(1) << bt) - 1
	r.w[wd] &= msk
	for i := wd + 1; i < DNLEN; i++ {
		r.w[i] = 0
	}
}

/* reduces this DBIG mod a BIG, and returns the BIG */
func (r *DBIG) mod(c *BIG) *BIG {
	r.norm()
	m := NewDBIGscopy(c)
	dr := NewDBIG()

	if dcomp(r, m) < 0 {
		return NewBIGdcopy(r)
	}

	m.shl(1)
	k := 1

	for dcomp(r, m) >= 0 {
		m.shl(1)
		k++
	}

	for k > 0 {
		m.shr(1)

		dr.copy(r)
		dr.sub(m)
		dr.norm()
		r.cmove(dr, int(1-((dr.w[DNLEN-1]>>uint(CHUNK-1))&1)))
		k--
	}
	return NewBIGdcopy(r)
}

/* return this/c */
func (r *DBIG) div(c *BIG) *BIG {
	var d int
	k := 0
	m := NewDBIGscopy(c)
	a := NewBIGint(0)
	e := NewBIGint(1)
	sr := NewBIG()
	dr := NewDBIG()
	r.norm()

	for dcomp(r, m) >= 0 {
		e.fshl(1)
		m.shl(1)
		k++
	}

	for k > 0 {
		m.shr(1)
		e.shr(1)

		dr.copy(r)
		dr.sub(m)
		dr.norm()
		d = int(1 - ((dr.w[DNLEN-1] >> uint(CHUNK-1)) & 1))
		r.cmove(dr, d)
		sr.copy(a)
		sr.add(e)
		sr.norm()
		a.cmove(sr, d)

		k--
	}
	return a
}

/* Convert to Hex String */
func (r *DBIG) toString() string {
	s := ""
	len := r.nbits()

	if len%4 == 0 {
		len /= 4
	} else {
		len /= 4
		len++

	}

	for i := len - 1; i >= 0; i-- {
		b := NewDBIGcopy(r)

		b.shr(uint(i * 4))
		s += strconv.FormatInt(int64(b.w[0]&15), 16)
	}
	return s
}

/* return number of bits */
func (r *DBIG) nbits() int {
	k := DNLEN - 1
	t := NewDBIGcopy(r)
	t.norm()
	for k >= 0 && t.w[k] == 0 {
		k--
	}
	if k < 0 {
		return 0
	}
	bts := int(BASEBITS) * k
	c := t.w[k]
	for c != 0 {
		c /= 2
		bts++
	}
	return bts
}