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623 lines (507 loc) · 14 KB
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#include "libtommath/tommath.h"
#if 0
void *MP_MALLOC(size_t size) {
return malloc(size);
}
void *MP_REALLOC(void *mem, size_t oldsize, size_t newsize) {
return realloc(mem, newsize);
}
void *MP_CALLOC(size_t nmemb, size_t size) {
return calloc(nmemb, size);
}
void MP_FREE(void *mem, size_t size) {
free(mem);
}
#else
void *MP_MALLOC(size_t size) {
return gb_alloc(permanent_allocator(), cast(isize)size);
}
void *MP_REALLOC(void *mem, size_t oldsize, size_t newsize) {
return gb_resize(permanent_allocator(), mem, cast(isize)oldsize, cast(isize)newsize);
}
void *MP_CALLOC(size_t nmemb, size_t size) {
size_t total = nmemb*size;
return gb_alloc(permanent_allocator(), cast(isize)total);
}
void MP_FREE(void *mem, size_t size) {
// DO NOTHING
}
#endif
#ifndef MAX_BIG_INT_SHIFT
#define MAX_BIG_INT_SHIFT 1024
#endif
typedef mp_int BigInt;
gb_internal void big_int_from_u64(BigInt *dst, u64 x);
gb_internal void big_int_from_i64(BigInt *dst, i64 x);
gb_internal void big_int_init (BigInt *dst, BigInt const *src);
gb_internal void big_int_from_string(BigInt *dst, String const &s, bool *success);
gb_internal void big_int_dealloc(BigInt *dst) {
mp_clear(dst);
}
gb_internal BigInt big_int_make(BigInt const *b, bool abs=false);
gb_internal BigInt big_int_make_abs(BigInt const *b);
gb_internal BigInt big_int_make_u64(u64 x);
gb_internal BigInt big_int_make_i64(i64 x);
gb_internal u64 big_int_to_u64 (BigInt const *x);
gb_internal i64 big_int_to_i64 (BigInt const *x);
gb_internal f64 big_int_to_f64 (BigInt const *x);
gb_internal String big_int_to_string(gbAllocator allocator, BigInt const *x, u64 base = 10);
gb_internal void big_int_add (BigInt *dst, BigInt const *x, BigInt const *y);
gb_internal void big_int_sub (BigInt *dst, BigInt const *x, BigInt const *y);
gb_internal void big_int_shl (BigInt *dst, BigInt const *x, BigInt const *y);
gb_internal void big_int_shr (BigInt *dst, BigInt const *x, BigInt const *y);
gb_internal void big_int_mul (BigInt *dst, BigInt const *x, BigInt const *y);
gb_internal void big_int_mul_u64(BigInt *dst, BigInt const *x, u64 y);
gb_internal void big_int_quo_rem(BigInt const *x, BigInt const *y, BigInt *q, BigInt *r);
gb_internal void big_int_quo (BigInt *z, BigInt const *x, BigInt const *y);
gb_internal void big_int_rem (BigInt *z, BigInt const *x, BigInt const *y);
gb_internal void
10BC8
big_int_and (BigInt *dst, BigInt const *x, BigInt const *y);
gb_internal void big_int_and_not(BigInt *dst, BigInt const *x, BigInt const *y);
gb_internal void big_int_xor (BigInt *dst, BigInt const *x, BigInt const *y);
gb_internal void big_int_or (BigInt *dst, BigInt const *x, BigInt const *y);
gb_internal void big_int_not (BigInt *dst, BigInt const *x, i32 bit_count, bool is_signed);
gb_internal void big_int_add_eq(BigInt *dst, BigInt const *x);
gb_internal void big_int_sub_eq(BigInt *dst, BigInt const *x);
gb_internal void big_int_shl_eq(BigInt *dst, BigInt const *x);
gb_internal void big_int_shr_eq(BigInt *dst, BigInt const *x);
gb_internal void big_int_mul_eq(BigInt *dst, BigInt const *x);
gb_internal void big_int_quo_eq(BigInt *dst, BigInt const *x);
gb_internal void big_int_rem_eq(BigInt *dst, BigInt const *x);
gb_internal bool big_int_is_neg(BigInt const *x);
gb_internal void big_int_neg(BigInt *dst, BigInt const *x);
gb_internal void big_int_add_eq(BigInt *dst, BigInt const *x) {
BigInt res = {};
big_int_init(&res, dst);
big_int_add(dst, &res, x);
}
gb_internal void big_int_sub_eq(BigInt *dst, BigInt const *x) {
BigInt res = {};
big_int_init(&res, dst);
big_int_sub(dst, &res, x);
}
gb_internal void big_int_shl_eq(BigInt *dst, BigInt const *x) {
BigInt res = {};
big_int_init(&res, dst);
big_int_shl(dst, &res, x);
}
gb_internal void big_int_shr_eq(BigInt *dst, BigInt const *x) {
BigInt res = {};
big_int_init(&res, dst);
big_int_shr(dst, &res, x);
}
gb_internal void big_int_mul_eq(BigInt *dst, BigInt const *x) {
BigInt res = {};
big_int_init(&res, dst);
big_int_mul(dst, &res, x);
}
gb_internal void big_int_quo_eq(BigInt *dst, BigInt const *x) {
BigInt res = {};
big_int_init(&res, dst);
big_int_quo(dst, &res, x);
}
gb_internal void big_int_rem_eq(BigInt *dst, BigInt const *x) {
BigInt res = {};
big_int_init(&res, dst);
big_int_rem(dst, &res, x);
}
gb_internal i64 big_int_sign(BigInt const *x) {
if (mp_iszero(x)) {
return 0;
}
return x->sign == MP_ZPOS ? +1 : -1;
}
gb_internal void big_int_from_u64(BigInt *dst, u64 x) {
mp_init_u64(dst, x);
}
gb_internal void big_int_from_i64(BigInt *dst, i64 x) {
mp_init_i64(dst, x);
}
gb_internal void big_int_init(BigInt *dst, BigInt const *src) {
if (dst == src) {
return;
}
mp_init_copy(dst, src);
}
gb_internal BigInt big_int_make(BigInt const *b, bool abs) {
BigInt i = {};
big_int_init(&i, b);
if (abs) mp_abs(&i, &i);
return i;
}
gb_internal BigInt big_int_make_abs(BigInt const *b) {
return big_int_make(b, true);
}
gb_internal BigInt big_int_make_u64(u64 x) {
BigInt i = {};
big_int_from_u64(&i, x);
return i;
}
gb_internal BigInt big_int_make_i64(i64 x) {
BigInt i = {};
big_int_from_i64(&i, x);
return i;
}
gb_internal void big_int_from_string(BigInt *dst, String const &s, bool *success) {
*success = true;
bool is_negative = false;
u64 base = 10;
bool has_prefix = false;
if (s.len > 2 && s[0] == '0') {
switch (s[1]) {
case 'b': base = 2; has_prefix = true; break;
case 'o': base = 8; has_prefix = true; break;
case 'd': base = 10; has_prefix = true; break;
case 'z': base = 12; has_prefix = true; break;
case 'x': base = 16; has_prefix = true; break;
case 'h': base = 16; has_prefix = true; break;
}
}
u8 *text = s.text;
isize len = s.len;
if (has_prefix) {
text += 2;
len -= 2;
}
BigInt b = {};
big_int_from_u64(&b, base);
mp_zero(dst);
isize i = 0;
for (; i < len; i++) {
Rune r = cast(Rune)text[i];
if (r == '-') {
if (is_negative) {
// NOTE(Jeroen): Can't have a doubly negative number.
*success = false;
return;
}
is_negative = true;
continue;
}
if (r == '_') {
continue;
}
u64 v = u64_digit_value(r);
if (v >= base) {
// NOTE(Jeroen): Can still be a valid integer if the next character is an `e` or `E`.
if (r != 'e' && r != 'E') {
*success = false;
}
break;
}
BigInt val = big_int_make_u64(v);
big_int_mul_eq(dst, &b);
big_int_add_eq(dst, &val);
}
if (i < len && (text[i] == 'e' || text[i] == 'E')) {
i += 1;
GB_ASSERT(base == 10);
GB_ASSERT(text[i] != '-');
if (text[i] == '+') {
i += 1;
}
u64 exp = 0;
for (; i < len; i++) {
char r = cast(char)text[i];
if (r == '_') {
continue;
}
u64 v = 0;
if (gb_char_is_digit(r)) {
v = u64_digit_value(r);
} else {
*success = false;
break;
}
exp *= 10;
exp += v;
}
for (u64 x = 0; x < exp; x++) {
big_int_mul_eq(dst, &b);
}
}
if (is_negative) {
big_int_neg(dst, dst);
}
}
gb_internal u64 big_int_to_u64(BigInt const *x) {
GB_ASSERT(x->sign == 0);
return mp_get_u64(x);
}
gb_internal i64 big_int_to_i64(BigInt const *x) {
return mp_get_i64(x);
}
gb_internal f64 big_int_to_f64(BigInt const *x) {
return mp_get_double(x);
}
gb_internal void big_int_neg(BigInt *dst, BigInt const *x) {
mp_neg(x, dst);
}
gb_internal int big_int_cmp(BigInt const *x, BigInt const *y) {
return mp_cmp(x, y);
}
gb_internal int big_int_cmp_zero(BigInt const *x) {
if (mp_iszero(x)) {
return 0;
}
return x->sign ? -1 : +1;
}
gb_internal bool big_int_is_zero(BigInt const *x) {
return mp_iszero(x);
}
gb_internal void big_int_add(BigInt *dst, BigInt const *x, BigInt const *y) {
mp_add(x, y, dst);
}
gb_internal void big_int_sub(BigInt *dst, BigInt const *x, BigInt const *y) {
mp_sub(x, y, dst);
}
gb_internal void big_int_shl(BigInt *dst, BigInt const *x, BigInt const *y) {
u32 yy = mp_get_u32(y);
mp_mul_2d(x, yy, dst);
}
gb_internal void big_int_shr(BigInt *dst, BigInt const *x, BigInt const *y) {
u32 yy = mp_get_u32(y);
BigInt d = {};
mp_div_2d(x, yy, dst, &d);
big_int_dealloc(&d);
}
gb_internal void big_int_mul_u64(BigInt *dst, BigInt const *x, u64 y) {
BigInt d = {};
big_int_from_u64(&d, y);
mp_mul(x, &d, dst);
big_int_dealloc(&d);
}
gb_internal void big_int_mul(BigInt *dst, BigInt const *x, BigInt const *y) {
mp_mul(x, y, dst);
}
gb_internal u64 leading_zeros_u64(u64 x) {
#if defined(GB_COMPILER_MSVC)
#if defined(GB_ARCH_64_BIT)
return __lzcnt64(x);
#else
u64 y, n;
n = 0;
y = x;
L:
if (x < 0) {
return n;
}
if (y == 0) {
return 64-n;
}
n++;
x <<= 1;
y >>= 1;
goto L;
#endif
#else
return cast(u64)__builtin_clzll(cast(unsigned long long)x);
#endif
}
// `big_int_quo_rem` sets z to the quotient x/y and r to the remainder x%y
// and returns the pair (z, r) for y != 0.
// if y == 0, a division-by-zero run-time panic occurs.
//
// q = x/y with the result truncated to zero
// r = x - y*q
gb_internal void big_int_quo_rem(BigInt const *x, BigInt const *y, BigInt *q_, BigInt *r_) {
mp_div(x, y, q_, r_);
}
gb_internal void big_int_quo(BigInt *z, BigInt const *x, BigInt const *y) {
BigInt r = {};
big_int_quo_rem(x, y, z, &r);
big_int_dealloc(&r);
}
gb_internal void big_int_rem(BigInt *z, BigInt const *x, BigInt const *y) {
BigInt q = {};
big_int_quo_rem(x, y, &q, z);
big_int_dealloc(&q);
}
gb_internal void big_int_euclidean_mod(BigInt *z, BigInt const *x, BigInt const *y) {
BigInt y0 = {};
big_int_init(&y0, y);
BigInt q = {};
big_int_quo_rem(x, y, &q, z);
if (z->sign) {
if (y0.sign) {
big_int_sub(z, z, &y0);
} else {
big_int_add(z, z, &y0);
}
}
}
gb_internal void big_int_and(BigInt *dst, BigInt const *x, BigInt const *y) {
mp_and(x, y, dst);
}
gb_internal void big_int_and_not(BigInt *dst, BigInt const *x, BigInt const *y) {
if (mp_iszero(x)) {
big_int_init(dst, y);
return;
}
if (mp_iszero(y)) {
big_int_init(dst, x);
return;
}
if (x->sign == y->sign) {
if (x->sign) {
// (-x) &~ (-y) == ~(x-1) &~ ~(y-1) == ~(x-1) & (y-1) == (y-1) &~ (x-1)
BigInt x1 = big_int_make_abs(x);
BigInt y1 = big_int_make_abs(y);
mp_decr(&x1);
mp_decr(&y1);
BigInt ny1 = {};
mp_complement(&y1, &ny1);
mp_and(&x1, &ny1, dst);
big_int_dealloc(&x1);
big_int_dealloc(&y1);
big_int_dealloc(&ny1);
return;
}
BigInt ny = {};
mp_complement(y, &ny);
mp_and(x, &ny, dst);
big_int_dealloc(&ny);
return;
}
if (x->sign) {
// (-x) &~ y == ~(x-1) &~ y == ~(x-1) & ~y == ~((x-1) | y) == -(((x-1) | y) + 1)
BigInt x1 = big_int_make_abs(x);
BigInt y1 = big_int_make_abs(y);
mp_decr(&x1);
BigInt z1 = {};
big_int_or(&z1, &x1, &y1);
mp_add_d(&z1, 1, dst);
big_int_dealloc(&x1);
big_int_dealloc(&y1);
big_int_dealloc(&z1);
return;
}
// x &~ (-y) == x &~ ~(y-1) == x & (y-1)
BigInt x1 = big_int_make_abs(x);
BigInt y1 = big_int_make_abs(y);
mp_decr(&y1);
big_int_and(dst, &x1, &y1);
big_int_dealloc(&x1);
big_int_dealloc(&y1);
return;
}
gb_internal void big_int_xor(BigInt *dst, BigInt const *x, BigInt const *y) {
mp_xor(x, y, dst);
}
gb_internal void big_int_or(BigInt *dst, BigInt const *x, BigInt const *y) {
mp_or(x, y, dst);
}
gb_internal void debug_print_big_int(BigInt const *x) {
TEMPORARY_ALLOCATOR_GUARD();
String s = big_int_to_string(temporary_allocator(), x, 10);
gb_printf_err("[DEBUG] %.*s\n", LIT(s));
}
gb_internal void big_int_not(BigInt *dst, BigInt const *x, i32 bit_count, bool is_signed) {
GB_ASSERT(bit_count >= 0);
if (bit_count == 0) {
big_int_from_u64(dst, 0);
return;
}
if (big_int_is_neg(x)) {
// ~x == -x - 1
big_int_neg(dst, x);
mp_decr(dst);
mp_mod_2d(dst, bit_count, dst);
return;
}
BigInt pow2b = {};
mp_2expt(&pow2b, bit_count);
BigInt mask = {};
mp_2expt(&mask, bit_count);
mp_decr(&mask);
BigInt v = {};
mp_init_copy(&v, x);
mp_mod_2d(&v, bit_count, &v);
mp_xor(&v, &mask, dst);
if (is_signed) {
BigInt pmask = {};
BigInt pmask_minus_one = {};
mp_2expt(&pmask, bit_count-1);
mp_sub_d(&pmask, 1, &pmask_minus_one);
BigInt a = {};
BigInt b = {};
big_int_and(&a, dst, &pmask_minus_one);
big_int_and(&b, dst, &pmask);
big_int_sub(dst, &a, &b);
big_int_dealloc(&a);
big_int_dealloc(&b);
}
big_int_dealloc(&pow2b);
big_int_dealloc(&mask);
big_int_dealloc(&v);
}
gb_internal bool big_int_is_neg(BigInt const *x) {
if (x == nullptr) {
return false;
}
return x->sign != MP_ZPOS;
}
gb_internal char digit_to_char(u8 digit) {
GB_ASSERT(digit < 16);
if (digit <= 9) {
return digit + '0';
} else if (digit <= 15) {
return digit + 'a';
}
return '0';
}
gb_internal String big_int_to_string(gbAllocator allocator, BigInt const *x, u64 base) {
GB_ASSERT(base <= 16);
if (mp_iszero(x)) {
u8 *buf = gb_alloc_array(allocator, u8, 1);
buf[0] = '0';
return make_string(buf, 1);
}
Array<char> buf = {};
array_init(&buf, allocator, 0, 32);
if (x->used >= 498) { // 2^498 ~ 10^150
mp_int val = {};
mp_abs(x, &val);
int exp = 0;
mp_err err = mp_log_n(&val, 10, &exp);
GB_ASSERT(err == MP_OKAY);
GB_ASSERT(exp >= 100);
mp_int thousand_below = {};
mp_int thousand_above = {};
mp_init_i32(&thousand_below, 10);
mp_expt_n(&thousand_below, exp-3, &thousand_below);
mp_div(&val, &thousand_below, &thousand_above, nullptr);
double mant = 1.0e-3 * mp_get_double(&thousand_above);
char val_buf[256] = {};
isize n = gb_snprintf(val_buf, gb_size_of(val_buf)-1, "~ %s%.fe%u", (x->sign ? "-" : ""), mant, exp);
array_add_elems(&buf, val_buf, n-1);
} else {
BigInt v = {};
mp_init_copy(&v, x);
if (v.sign) {
array_add(&buf, '-');
mp_abs(&v, &v);
}
isize first_word_idx = buf.count;
BigInt r = {};
BigInt b = {};
big_int_from_u64(&b, base);
u8 digit = 0;
while (big_int_cmp(&v, &b) >= 0) {
big_int_quo_rem(&v, &b, &v, &r);
digit = cast(u8)big_int_to_u64(&r);
array_add(&buf, digit_to_char(digit));
}
big_int_rem(&r, &v, &b);
digit = cast(u8)big_int_to_u64(&r);
array_add(&buf, digit_to_char(digit));
big_int_dealloc(&r);
big_int_dealloc(&b);
for (isize i = first_word_idx; i < buf.count/2; i++) {
isize j = buf.count + first_word_idx - i - 1;
char tmp = buf[i];
buf[i] = buf[j];
buf[j] = tmp;
}
}
return make_string(cast(u8 *)buf.data, buf.count);
}