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// Copyright 2011 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package rand
import (
"io"
"math/big"
"os"
)
// Prime returns a number, p, of the given size, such that p is prime
// with high probability.
func Prime(rand io.Reader, bits int) (p *big.Int, err error) {
if bits < 1 {
err = os.EINVAL
}
b := uint(bits % 8)
if b == 0 {
b = 8
}
bytes := make([]byte, (bits+7)/8)
p = new(big.Int)
for {
_, err = io.ReadFull(rand, bytes)
if err != nil {
return nil, err
}
// Clear bits in the first byte to make sure the candidate has a size <= bits.
bytes[0] &= uint8(int(1<<b) - 1)
// Don't let the value be too small, i.e, set the most significant bit.
bytes[0] |= 1 << (b - 1)
// Make the value odd since an even number this large certainly isn't prime.
bytes[len(bytes)-1] |= 1
p.SetBytes(bytes)
if big.ProbablyPrime(p, 20) {
return
}
}
return
}
// Int returns a uniform random value in [0, max).
func Int(rand io.Reader, max *big.Int) (n *big.Int, err error) {
k := (max.BitLen() + 7) / 8
// b is the number of bits in the most significant byte of max.
b := uint(max.BitLen() % 8)
if b == 0 {
b = 8
}
bytes := make([]byte, k)
n = new(big.Int)
for {
_, err = io.ReadFull(rand, bytes)
if err != nil {
return nil, err
}
// Clear bits in the first byte to increase the probability
// that the candidate is < max.
bytes[0] &= uint8(int(1<<b) - 1)
n.SetBytes(bytes)
if n.Cmp(max) < 0 {
return
}
}
return
}
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