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v/vlib/math/big/big.v
2020-08-28 09:03:22 +03:00

195 lines
4.5 KiB
V

module big
// Wrapper for https://github.com/kokke/tiny-bignum-c
#flag -I @VROOT/thirdparty/bignum
#flag @VROOT/thirdparty/bignum/bn.o
#include "bn.h"
[typedef]
struct C.bn {
array [32]u32
}
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 byteptr, nbytes int)
fn C.bignum_to_string( n &Number, s byteptr, maxsize int)
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
fn C.bignum_divmod( a &Number, b &Number, c &Number, d &Number) // c = a/b d=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 | b
fn C.bignum_xor( a &Number, b &Number, c &Number) // c = a xor b
fn C.bignum_lshift( a &Number, b &Number, nbits int) // b = a << nbits
fn C.bignum_rshift( a &Number, b &Number, nbits int) // b = a >> nbits
fn C.bignum_cmp( a &Number, b &Number) int
fn C.bignum_is_zero( a &Number) int
fn C.bignum_inc(n &Number)
fn C.bignum_dec(n &Number)
fn C.bignum_pow( a &Number, b &Number, c &Number) // c = a ^ b
fn C.bignum_isqrt( a &Number, b &Number) // b = integer_square_root_of(a)
fn C.bignum_assign( dst &Number, src &Number) // copy src number to dst number
////////////////////////////////////////////////////////////
// conversion actions to/from big numbers:
pub fn new() Number {
return Number{}
}
pub fn from_int(i int) Number {
n := Number{}
C.bignum_from_int( &n, i)
return n
}
pub fn from_u64(u u64) Number {
n := Number{}
C.bignum_from_int( &n, u)
return n
}
pub fn from_string(s string) Number {
n := Number{}
C.bignum_from_string(&n, s.str, s.len)
return n
}
pub fn (n Number) int() int {
r := C.bignum_to_int(&n)
return r
}
pub fn (n Number) str() string {
// TODO: return a decimal representation of the bignumber n.
// A decimal representation will be easier to use in the repl
// but will be slower to calculate. Also, it is not implemented
// in the bn library.
return 'Number (in hex): ' + n.hexstr()
}
pub fn (n Number) hexstr() string {
mut buf := [8192]byte{}
C.bignum_to_string( &n, buf, 8192)
// NB: bignum_to_string , returns the HEXADECIMAL representation of the bignum n
s := tos_clone( buf )
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) )
}