v/vlib/math/big/big.v

319 lines
6.7 KiB
V

module big
// Wrapper for https://github.com/kokke/tiny-bignum-c
#flag -I @VEXEROOT/thirdparty/bignum
#flag @VEXEROOT/thirdparty/bignum/bn.o
#include "bn.h"
struct C.bn {
mut:
array [32]u32
}
// Big unsigned integer number.
type Number = C.bn
fn C.bignum_init(n &Number)
fn C.bignum_from_int(n &Number, i u64)
fn C.bignum_to_int(n &Number) int
fn C.bignum_from_string(n &Number, s &char, nbytes int)
fn C.bignum_to_string(n &Number, s &char, maxsize int)
// c = a + b
fn C.bignum_add(a &Number, b &Number, c &Number)
// c = a - b
fn C.bignum_sub(a &Number, b &Number, c &Number)
// c = a * b
fn C.bignum_mul(a &Number, b &Number, c &Number)
// c = a / b
fn C.bignum_div(a &Number, b &Number, c &Number)
// c = a % b
fn C.bignum_mod(a &Number, b &Number, c &Number)
// c = a/b d=a%b
fn C.bignum_divmod(a &Number, b &Number, c &Number, d &Number)
// c = a & b
fn C.bignum_and(a &Number, b &Number, c &Number)
// c = a | b
fn C.bignum_or(a &Number, b &Number, c &Number)
// c = a xor b
fn C.bignum_xor(a &Number, b &Number, c &Number)
// b = a << nbits
fn C.bignum_lshift(a &Number, b &Number, nbits int)
// b = a >> nbits
fn C.bignum_rshift(a &Number, b &Number, nbits int)
fn C.bignum_cmp(a &Number, b &Number) int
fn C.bignum_is_zero(a &Number) int
// n++
fn C.bignum_inc(n &Number)
// n--
fn C.bignum_dec(n &Number)
// c = a ^ b
fn C.bignum_pow(a &Number, b &Number, c &Number)
// b = integer_square_root_of(a)
fn C.bignum_isqrt(a &Number, b &Number)
// copy src number to dst number
fn C.bignum_assign(dst &Number, src &Number)
// new returns a bignum, initialized to 0
pub fn new() Number {
return Number{}
}
// conversion actions to/from big numbers:
// from_int converts an ordinary int number `i` to big.Number
pub fn from_int(i int) Number {
n := Number{}
C.bignum_from_int(&n, i)
return n
}
// from_u64 converts an ordinary u64 number `u` to big.Number
pub fn from_u64(u u64) Number {
n := Number{}
C.bignum_from_int(&n, u)
return n
}
// from_hex_string converts a hex string to big.Number
pub fn from_hex_string(input string) Number {
mut s := input.trim_prefix('0x')
if s.len == 0 {
s = '0'
}
padding := '0'.repeat((8 - s.len % 8) % 8)
s = padding + s
n := Number{}
C.bignum_from_string(&n, &char(s.str), s.len)
return n
}
// from_string converts a decimal string to big.Number
pub fn from_string(input string) Number {
mut n := from_int(0)
for _, c in input {
d := from_int(int(c - `0`))
n = (n * big.ten) + d
}
return n
}
// .int() converts (a small) big.Number `n` to an ordinary integer.
pub fn (n &Number) int() int {
r := C.bignum_to_int(n)
return r
}
const (
ten = from_int(10)
)
// .str returns a decimal representation of the big unsigned integer number n.
pub fn (n &Number) str() string {
if n.is_zero() {
return '0'
}
mut digits := []byte{}
mut x := n.clone()
div := Number{}
for !x.is_zero() {
mod := divmod(&x, &big.ten, &div)
digits << byte(mod.int()) + `0`
x = div
}
return digits.reverse().bytestr()
}
// .hexstr returns a hexadecimal representation of the bignum `n`
pub fn (n &Number) hexstr() string {
mut buf := [8192]byte{}
mut s := ''
unsafe {
bp := &buf[0]
// NB: C.bignum_to_string(), returns the HEXADECIMAL representation of the bignum n
C.bignum_to_string(n, &char(bp), 8192)
s = tos_clone(bp)
}
if s.len == 0 {
return '0'
}
return s
}
// //////////////////////////////////////////////////////////
// overloaded ops for the numbers:
pub fn (a &Number) + (b &Number) Number {
c := Number{}
C.bignum_add(a, b, &c)
return c
}
pub fn (a &Number) - (b &Number) Number {
c := Number{}
C.bignum_sub(a, b, &c)
return c
}
pub fn (a &Number) * (b &Number) Number {
c := Number{}
C.bignum_mul(a, b, &c)
return c
}
pub fn (a &Number) / (b &Number) Number {
c := Number{}
C.bignum_div(a, b, &c)
return c
}
pub fn (a &Number) % (b &Number) Number {
c := Number{}
C.bignum_mod(a, b, &c)
return c
}
pub fn divmod(a &Number, b &Number, c &Number) Number {
d := Number{}
C.bignum_divmod(a, b, c, &d)
return d
}
// //////////////////////////////////////////////////////////
pub fn cmp(a &Number, b &Number) int {
return C.bignum_cmp(a, b)
}
pub fn (a &Number) is_zero() bool {
return C.bignum_is_zero(a) != 0
}
pub fn (mut a Number) inc() {
C.bignum_inc(&a)
}
pub fn (mut a Number) dec() {
C.bignum_dec(&a)
}
pub fn pow(a &Number, b &Number) Number {
c := Number{}
C.bignum_pow(a, b, &c)
return c
}
pub fn (a &Number) isqrt() Number {
b := Number{}
C.bignum_isqrt(a, &b)
return b
}
// //////////////////////////////////////////////////////////
pub fn b_and(a &Number, b &Number) Number {
c := Number{}
C.bignum_and(a, b, &c)
return c
}
pub fn b_or(a &Number, b &Number) Number {
c := Number{}
C.bignum_or(a, b, &c)
return c
}
pub fn b_xor(a &Number, b &Number) Number {
c := Number{}
C.bignum_xor(a, b, &c)
return c
}
pub fn (a &Number) lshift(nbits int) Number {
b := Number{}
C.bignum_lshift(a, &b, nbits)
return b
}
pub fn (a &Number) rshift(nbits int) Number {
b := Number{}
C.bignum_rshift(a, &b, nbits)
return b
}
pub fn (a &Number) clone() Number {
b := Number{}
C.bignum_assign(&b, a)
return b
}
// //////////////////////////////////////////////////////////
pub fn factorial(nn &Number) Number {
mut n := nn.clone()
mut a := nn.clone()
n.dec()
mut i := 1
for !n.is_zero() {
res := a * n
n.dec()
a = res
i++
}
return a
}
pub fn fact(n int) Number {
return factorial(from_int(n))
}
// bytes returns an array of the bytes for the number `n`,
// in little endian format, where .bytes()[0] is the least
// significant byte. The result is NOT trimmed, and will contain 0s, even
// after the significant bytes.
// This method is faster than .bytes_trimmed(), but may be less convenient.
// Example: assert big.from_int(1).bytes()[0] == byte(0x01)
// Example: assert big.from_int(1024).bytes()[1] == byte(0x04)
// Example: assert big.from_int(1048576).bytes()[2] == byte(0x10)
pub fn (n &Number) bytes() []byte {
mut res := []byte{len: 128, init: 0}
unsafe { C.memcpy(res.data, n, 128) }
return res
}
// bytes_trimmed returns an array of the bytes for the number `n`,
// in little endian format, where .bytes_trimmed()[0] is the least
// significant byte. The result is trimmed, so that *the last* byte
// of the result is also the the last meaningfull byte, != 0 .
// Example: assert big.from_int(1).bytes_trimmed() == [byte(0x01)]
// Example: assert big.from_int(1024).bytes_trimmed() == [byte(0x00), 0x04]
// Example: assert big.from_int(1048576).bytes_trimmed() == [byte(0x00), 0x00, 0x10]
pub fn (n &Number) bytes_trimmed() []byte {
mut res := []byte{len: 128, init: 0}
unsafe { C.memcpy(res.data, n, 128) }
mut non_zero_idx := 127
for ; non_zero_idx >= 0; non_zero_idx-- {
if res[non_zero_idx] != 0 {
break
}
}
res.trim(non_zero_idx + 1)
return res
}