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-rw-r--r--source/kit/bigint.h605
1 files changed, 605 insertions, 0 deletions
diff --git a/source/kit/bigint.h b/source/kit/bigint.h
new file mode 100644
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--- /dev/null
+++ b/source/kit/bigint.h
@@ -0,0 +1,605 @@
+#ifndef KIT_BIGINT_H
+#define KIT_BIGINT_H
+
+#include "string_ref.h"
+
+#include <assert.h>
+#include <string.h>
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#ifndef KIT_BIGINT_SIZE
+# define KIT_BIGINT_SIZE 64
+#endif
+
+typedef struct {
+ u32 v[KIT_BIGINT_SIZE / 4];
+} kit_bigint_t;
+
+#if defined(__GNUC__) || defined(__clang__)
+# pragma GCC diagnostic push
+# pragma GCC diagnostic ignored "-Wunused-function"
+# pragma GCC diagnostic ignored "-Wunknown-pragmas"
+# pragma GCC push_options
+# pragma GCC optimize("O3")
+#endif
+
+static kit_bigint_t kit_bi_u32(u32 x) {
+ kit_bigint_t z;
+ memset(&z, 0, sizeof z);
+ z.v[0] = x;
+ return z;
+}
+
+static kit_bigint_t kit_bi_u64(u64 x) {
+ kit_bigint_t z;
+ memset(&z, 0, sizeof z);
+ z.v[0] = (u32) (x & 0xffffffff);
+ z.v[1] = (u32) (x >> 32);
+ return z;
+}
+
+static kit_bigint_t kit_bi_i32(i32 x) {
+ kit_bigint_t z;
+ memset(&z, x < 0 ? -1 : 0, sizeof z);
+ z.v[0] = x;
+ return z;
+}
+
+static kit_bigint_t kit_bi_i64(i64 x) {
+ kit_bigint_t z;
+ memset(&z, x < 0 ? -1 : 0, sizeof z);
+ z.v[0] = (u32) (((u64) x) & 0xffffffff);
+ z.v[1] = (u32) (((u64) x) >> 32);
+ return z;
+}
+
+static int kit_bi_is_zero(kit_bigint_t x) {
+ i64 i;
+ for (i = 0; i < KIT_BIGINT_SIZE / 4; i++)
+ if (x.v[i] != 0)
+ return 0;
+ return 1;
+}
+
+static int kit_bi_is_neg(kit_bigint_t x) {
+ return (x.v[KIT_BIGINT_SIZE / 4 - 1] & 0x80000000) != 0;
+}
+
+static int kit_bi_equal(kit_bigint_t x, kit_bigint_t y) {
+ return kit_ar_equal_bytes(1, KIT_BIGINT_SIZE, x.v, 1,
+ KIT_BIGINT_SIZE, y.v);
+}
+
+static int kit_bi_compare(kit_bigint_t x, kit_bigint_t y) {
+ i64 i;
+ for (i = KIT_BIGINT_SIZE / 4 - 1; i >= 0; i--)
+ if (x.v[i] < y.v[i])
+ return -1;
+ else if (x.v[i] > y.v[i])
+ return 1;
+ return 0;
+}
+
+static i64 kit_bi_significant_bit_count(kit_bigint_t x) {
+ i64 n = KIT_BIGINT_SIZE / 4 - 1;
+
+ while (n > 0 && x.v[n] == 0) n--;
+
+ u32 val = x.v[n];
+
+ if (val == 0)
+ return 0;
+
+ i64 bits = (val & 0x80000000u) != 0 ? 32
+ : (val & 0x40000000u) != 0 ? 31
+ : (val & 0x20000000u) != 0 ? 30
+ : (val & 0x10000000u) != 0 ? 29
+ : (val & 0x8000000u) != 0 ? 28
+ : (val & 0x4000000u) != 0 ? 27
+ : (val & 0x2000000u) != 0 ? 26
+ : (val & 0x1000000u) != 0 ? 25
+ : (val & 0x800000u) != 0 ? 24
+ : (val & 0x400000u) != 0 ? 23
+ : (val & 0x200000u) != 0 ? 22
+ : (val & 0x100000u) != 0 ? 21
+ : (val & 0x80000u) != 0 ? 20
+ : (val & 0x40000u) != 0 ? 19
+ : (val & 0x20000u) != 0 ? 18
+ : (val & 0x10000u) != 0 ? 17
+ : (val & 0x8000u) != 0 ? 16
+ : (val & 0x4000u) != 0 ? 15
+ : (val & 0x2000u) != 0 ? 14
+ : (val & 0x1000u) != 0 ? 13
+ : (val & 0x800u) != 0 ? 12
+ : (val & 0x400u) != 0 ? 11
+ : (val & 0x200u) != 0 ? 10
+ : (val & 0x100u) != 0 ? 9
+ : (val & 0x80u) != 0 ? 8
+ : (val & 0x40u) != 0 ? 7
+ : (val & 0x20u) != 0 ? 6
+ : (val & 0x10u) != 0 ? 5
+ : (val & 0x08u) != 0 ? 4
+ : (val & 0x04u) != 0 ? 3
+ : (val & 0x02u) != 0 ? 2
+ : 1;
+
+ return n * 32 + bits;
+}
+
+static kit_bigint_t kit_bi_and(kit_bigint_t x, kit_bigint_t y) {
+ kit_bigint_t z;
+ i64 i;
+
+ for (i = 0; i < KIT_BIGINT_SIZE / 4; i++) z.v[i] = x.v[i] & y.v[i];
+
+ return z;
+}
+
+static kit_bigint_t kit_bi_or(kit_bigint_t x, kit_bigint_t y) {
+ kit_bigint_t z;
+ i64 i;
+
+ for (i = 0; i < KIT_BIGINT_SIZE / 4; i++) z.v[i] = x.v[i] | y.v[i];
+
+ return z;
+}
+
+static kit_bigint_t kit_bi_xor(kit_bigint_t x, kit_bigint_t y) {
+ kit_bigint_t z;
+ i64 i;
+
+ for (i = 0; i < KIT_BIGINT_SIZE / 4; i++) z.v[i] = x.v[i] ^ y.v[i];
+
+ return z;
+}
+
+static kit_bigint_t kit_bi_shl_uint(kit_bigint_t x, u32 y) {
+ kit_bigint_t z;
+ memset(&z, 0, sizeof z);
+
+ i64 words = (i64) (y / 32);
+ i64 bits = (i64) (y % 32);
+ i64 i;
+
+ for (i = words; i < KIT_BIGINT_SIZE / 4; i++) {
+ z.v[i] |= x.v[i - words] << bits;
+ if (bits != 0 && i + 1 < KIT_BIGINT_SIZE / 4)
+ z.v[i + 1] = x.v[i - words] >> (32 - bits);
+ }
+
+ return z;
+}
+
+static kit_bigint_t kit_bi_shr_uint(kit_bigint_t x, u32 y) {
+ kit_bigint_t z;
+ memset(&z, 0, sizeof z);
+
+ i64 words = (i64) (y / 32);
+ i64 bits = (i64) (y % 32);
+ i64 i;
+
+ for (i = KIT_BIGINT_SIZE / 4 - words - 1; i >= 0; i--) {
+ z.v[i] |= x.v[i + words] >> bits;
+ if (bits != 0 && i > 0)
+ z.v[i - 1] = x.v[i + words] << (32 - bits);
+ }
+
+ return z;
+}
+
+static i8 kit_bi_carry(u32 x, u32 y, i8 carry) {
+ assert(carry == 0 || carry == 1);
+ return 0xffffffffu - x < y || 0xffffffffu - x - y < carry ? 1 : 0;
+}
+
+/* Increment.
+ */
+static kit_bigint_t kit_bi_inc(kit_bigint_t x) {
+ kit_bigint_t z;
+ i8 carry = 1;
+ i64 i;
+
+ for (i = 0; i < KIT_BIGINT_SIZE / 4; i++) {
+ z.v[i] = x.v[i] + carry;
+ carry = kit_bi_carry(x.v[i], 0, carry);
+ }
+
+ return z;
+}
+
+/* Decrement
+ */
+static kit_bigint_t kit_bi_dec(kit_bigint_t x) {
+ kit_bigint_t z;
+ i8 carry = 0;
+ i64 i;
+
+ for (i = 0; i < KIT_BIGINT_SIZE / 4; i++) {
+ z.v[i] = x.v[i] + 0xffffffff + carry;
+ carry = kit_bi_carry(x.v[i], 0xffffffff, carry);
+ }
+
+ return z;
+}
+
+/* Addition.
+ */
+static kit_bigint_t kit_bi_add(kit_bigint_t x, kit_bigint_t y) {
+ kit_bigint_t z;
+ i8 carry = 0;
+ i64 i;
+
+ for (i = 0; i < KIT_BIGINT_SIZE / 4; i++) {
+ z.v[i] = x.v[i] + y.v[i] + carry;
+ carry = kit_bi_carry(x.v[i], y.v[i], carry);
+ }
+
+ return z;
+}
+
+/* Negation.
+ */
+static kit_bigint_t kit_bi_neg(kit_bigint_t x) {
+ kit_bigint_t y;
+ i8 carry = 1;
+ i64 i;
+
+ for (i = 0; i < KIT_BIGINT_SIZE / 4; i++) {
+ y.v[i] = (x.v[i] ^ 0xffffffff) + carry;
+ carry = kit_bi_carry(x.v[i] ^ 0xffffffff, 0, carry);
+ }
+
+ return y;
+}
+
+/* Subtraction.
+ */
+static kit_bigint_t kit_bi_sub(kit_bigint_t x, kit_bigint_t y) {
+ kit_bigint_t z;
+ i8 carry = 1;
+ i64 i;
+
+ for (i = 0; i < KIT_BIGINT_SIZE / 4; i++) {
+ z.v[i] = x.v[i] + (y.v[i] ^ 0xffffffff) + carry;
+ carry = kit_bi_carry(x.v[i], (y.v[i] ^ 0xffffffff), carry);
+ }
+
+ return z;
+}
+
+static kit_bigint_t kit_bi_mul_u32(kit_bigint_t x, u32 y) {
+ kit_bigint_t z;
+ i64 i, k;
+
+ memset(&z, 0, sizeof z);
+
+ if (y != 0)
+ for (i = 0; i < KIT_BIGINT_SIZE / 4; i++) {
+ if (x.v[i] == 0)
+ continue;
+
+ u64 carry = ((u64) x.v[i]) * ((u64) y);
+
+ for (k = i; k < KIT_BIGINT_SIZE / 4 && carry != 0; k++) {
+ u64 sum = ((u64) z.v[k]) + carry;
+ z.v[k] = ((u32) (sum & 0xffffffffull));
+ carry = sum >> 32;
+ }
+ }
+
+ return z;
+}
+
+/* Multiplication.
+ */
+static kit_bigint_t kit_bi_mul(kit_bigint_t x, kit_bigint_t y) {
+ kit_bigint_t z;
+ i64 i, j, k;
+
+ memset(&z, 0, sizeof z);
+
+ for (i = 0; i < KIT_BIGINT_SIZE / 4; i++) {
+ if (x.v[i] == 0)
+ continue;
+
+ for (j = 0; i + j < KIT_BIGINT_SIZE / 4; j++) {
+ if (y.v[j] == 0)
+ continue;
+
+ u64 carry = ((u64) x.v[i]) * ((u64) y.v[j]);
+
+ for (k = i + j; k < KIT_BIGINT_SIZE / 4 && carry != 0; k++) {
+ u64 sum = ((u64) z.v[k]) + carry;
+ z.v[k] = ((u32) (sum & 0xffffffffull));
+ carry = sum >> 32;
+ }
+ }
+ }
+
+ return z;
+}
+
+typedef struct {
+ i8 undefined;
+ kit_bigint_t quotient;
+ kit_bigint_t remainder;
+} kit_bi_division_t;
+
+/* Unsigned division.
+ */
+static kit_bi_division_t kit_bi_udiv(kit_bigint_t x, kit_bigint_t y) {
+ kit_bi_division_t z;
+ memset(&z, 0, sizeof z);
+
+ i64 y_bits = kit_bi_significant_bit_count(y);
+
+ if (y_bits == 0) {
+ z.undefined = 1;
+ return z;
+ }
+
+ i64 x_bits = kit_bi_significant_bit_count(x);
+ i64 shift = x_bits - y_bits;
+
+ z.remainder = x;
+ z.quotient = kit_bi_u32(0);
+
+ y = kit_bi_shl_uint(y, (u32) shift);
+
+ while (shift >= 0) {
+ if (kit_bi_compare(z.remainder, y) >= 0) {
+ z.remainder = kit_bi_sub(z.remainder, y);
+ z.quotient.v[shift / 32] |= (1u << (shift % 32));
+ }
+
+ y = kit_bi_shr_uint(y, 1);
+ shift--;
+ }
+
+ return z;
+}
+
+/* Signed division.
+ *
+ * Remainder is always a non-negative value less than absolute value
+ * of y.
+ */
+static kit_bi_division_t kit_bi_div(kit_bigint_t x, kit_bigint_t y) {
+ int x_neg = kit_bi_is_neg(x);
+ int y_neg = kit_bi_is_neg(y);
+
+ kit_bigint_t x_abs = x_neg ? kit_bi_neg(x) : x;
+ kit_bigint_t y_abs = y_neg ? kit_bi_neg(y) : y;
+
+ if (x_neg == y_neg)
+ return kit_bi_udiv(x_abs, y_abs);
+
+ kit_bi_division_t z = kit_bi_udiv(x_abs, y_abs);
+
+ if (!kit_bi_is_zero(z.remainder) && !y_neg)
+ z.quotient = kit_bi_dec(kit_bi_neg(z.quotient));
+ else
+ z.quotient = kit_bi_neg(z.quotient);
+
+ return z;
+}
+
+static void kit_bi_serialize(kit_bigint_t in, u8 *out) {
+ i64 i;
+
+ assert(out != NULL);
+
+ for (i = 0; i < KIT_BIGINT_SIZE / 4; i++) {
+ out[i * 4] = (u8) (in.v[i] & 0xff);
+ out[i * 4 + 1] = (u8) ((in.v[i] >> 8) & 0xff);
+ out[i * 4 + 2] = (u8) ((in.v[i] >> 16) & 0xff);
+ out[i * 4 + 3] = (u8) ((in.v[i] >> 24) & 0xff);
+ }
+}
+
+static kit_bigint_t kit_bi_deserialize(u8 *in) {
+ i64 i;
+ kit_bigint_t out;
+
+ assert(in != NULL);
+
+ memset(&out, 0, sizeof out);
+
+ for (i = 0; i < KIT_BIGINT_SIZE; i++)
+ out.v[i / 4] |= ((u32) in[i]) << (8 * (i % 4));
+
+ return out;
+}
+
+static u8 kit_bin_digit(char hex) {
+ assert(hex == '0' || hex == '1');
+ return hex == '1' ? 1 : 0;
+}
+
+static kit_bigint_t kit_bi_from_bin(kit_str_t bin) {
+ kit_bigint_t z;
+ i64 i;
+
+ memset(&z, 0, sizeof z);
+
+ for (i = 0; i < bin.size && i / 8 < KIT_BIGINT_SIZE; i++) {
+ u8 digit = kit_bin_digit(bin.values[bin.size - i - 1]);
+ z.v[i / 32] |= digit << (i % 32);
+ }
+
+ return z;
+}
+
+static u8 kit_dec_digit(char c) {
+ assert('c' >= '0' && c <= '9');
+ return c >= '0' && c <= '9' ? (u8) (c - '0') : 0;
+}
+
+static kit_bigint_t kit_bi_from_dec(kit_str_t dec) {
+ kit_bigint_t z = kit_bi_u32(0);
+ kit_bigint_t factor = kit_bi_u32(1);
+ i64 i;
+
+ for (i = 0; i < dec.size; i++) {
+ u32 digit = kit_dec_digit(dec.values[dec.size - i - 1]);
+ z = kit_bi_add(z, kit_bi_mul_u32(factor, digit));
+ factor = kit_bi_mul_u32(factor, 10);
+ }
+
+ return z;
+}
+
+static u8 kit_hex_digit(char hex) {
+ assert((hex >= '0' && hex <= '9') || (hex >= 'a' && hex <= 'f') ||
+ (hex >= 'A' && hex <= 'F'));
+
+ if (hex >= '0' && hex <= '9')
+ return hex - '0';
+ if (hex >= 'a' && hex <= 'f')
+ return hex - 'a';
+ if (hex >= 'A' && hex <= 'F')
+ return hex - 'A';
+
+ return 0;
+}
+
+static kit_bigint_t kit_bi_from_hex(kit_str_t hex) {
+ kit_bigint_t z;
+ i64 i;
+
+ memset(&z, 0, sizeof z);
+
+ for (i = 0; i < hex.size && i / 2 < KIT_BIGINT_SIZE; i++) {
+ u8 digit = kit_hex_digit(hex.values[hex.size - i - 1]);
+ z.v[i / 8] |= digit << (4 * (i % 8));
+ }
+
+ return z;
+}
+
+static u8 KIT_BASE32_DIGITS[] = {
+ ['1'] = 0, ['2'] = 1, ['3'] = 2, ['4'] = 3, ['5'] = 4,
+ ['6'] = 5, ['7'] = 6, ['8'] = 7, ['9'] = 8, ['a'] = 9,
+ ['b'] = 10, ['c'] = 11, ['d'] = 12, ['e'] = 13, ['f'] = 14,
+ ['g'] = 15, ['h'] = 16, ['j'] = 17, ['k'] = 18, ['m'] = 19,
+ ['n'] = 20, ['p'] = 21, ['q'] = 22, ['r'] = 23, ['s'] = 24,
+ ['t'] = 25, ['u'] = 26, ['v'] = 27, ['w'] = 28, ['x'] = 29,
+ ['y'] = 30, ['z'] = 31
+};
+
+static u8 kit_base32_digit(char c) {
+ assert(c >= '\0' && c < sizeof KIT_BASE32_DIGITS);
+ assert(c == '1' || KIT_BASE32_DIGITS[(size_t) (u8) c] != 0);
+
+ return c >= '\0' && c < sizeof KIT_BASE32_DIGITS
+ ? KIT_BASE32_DIGITS[(size_t) (u8) c]
+ : 0;
+}
+
+static kit_bigint_t kit_bi_from_base32(kit_str_t base32) {
+ kit_bigint_t z;
+ i64 i;
+
+ memset(&z, 0, sizeof z);
+
+ for (i = 0; i < base32.size; i++) {
+ z = kit_bi_shl_uint(z, 5 * i);
+ z.v[0] |= kit_base32_digit(base32.values[i]);
+ }
+
+ return z;
+}
+
+static u8 KIT_BASE58_DIGITS[] = {
+ ['1'] = 0, ['2'] = 1, ['3'] = 2, ['4'] = 3, ['5'] = 4,
+ ['6'] = 5, ['7'] = 6, ['8'] = 7, ['9'] = 8, ['A'] = 9,
+ ['B'] = 10, ['C'] = 11, ['D'] = 12, ['E'] = 13, ['F'] = 14,
+ ['G'] = 15, ['H'] = 16, ['J'] = 17, ['K'] = 18, ['L'] = 19,
+ ['M'] = 20, ['N'] = 21, ['P'] = 22, ['Q'] = 23, ['R'] = 24,
+ ['S'] = 25, ['T'] = 26, ['U'] = 27, ['V'] = 28, ['W'] = 29,
+ ['X'] = 30, ['Y'] = 31, ['Z'] = 32, ['a'] = 33, ['b'] = 34,
+ ['c'] = 35, ['d'] = 36, ['e'] = 37, ['f'] = 38, ['g'] = 39,
+ ['h'] = 40, ['i'] = 41, ['j'] = 42, ['k'] = 43, ['m'] = 44,
+ ['n'] = 45, ['o'] = 46, ['p'] = 47, ['q'] = 48, ['r'] = 49,
+ ['s'] = 50, ['t'] = 51, ['u'] = 52, ['v'] = 53, ['w'] = 54,
+ ['x'] = 55, ['y'] = 56, ['z'] = 57
+};
+
+static u8 kit_base58_digit(char c) {
+ assert(c >= '\0' && c < sizeof KIT_BASE58_DIGITS);
+ assert(c == '1' || KIT_BASE58_DIGITS[(size_t) (u8) c] != 0);
+
+ return c >= '\0' && c < sizeof KIT_BASE58_DIGITS
+ ? KIT_BASE58_DIGITS[(size_t) (u8) c]
+ : 0;
+}
+
+static kit_bigint_t kit_bi_from_base58(kit_str_t base58) {
+ kit_bigint_t z = kit_bi_u32(0);
+ kit_bigint_t factor = kit_bi_u32(1);
+ i64 i;
+
+ for (i = 0; i < base58.size; i++) {
+ u32 digit = kit_base58_digit(base58.values[base58.size - i - 1]);
+ z = kit_bi_add(z, kit_bi_mul_u32(factor, digit));
+ factor = kit_bi_mul_u32(factor, 58);
+ }
+
+ return z;
+}
+
+#if defined(__GNUC__) || defined(__clang__)
+# pragma GCC pop_options
+# pragma GCC diagnostic pop
+#endif
+
+#define KIT_BIN(static_str_) \
+ kit_bi_from_bin(kit_str(sizeof(static_str_) - 1, (static_str_)))
+
+#define KIT_DEC(static_str_) \
+ kit_bi_from_dec(kit_str(sizeof(static_str_) - 1, (static_str_)))
+
+#define KIT_HEX(static_str_) \
+ kit_bi_from_hex(kit_str(sizeof(static_str_) - 1, (static_str_)))
+
+#define KIT_BASE32(static_str_) \
+ kit_bi_from_base32(kit_str(sizeof(static_str_) - 1, (static_str_)))
+
+#define KIT_BASE58(static_str_) \
+ kit_bi_from_base58(kit_str(sizeof(static_str_) - 1, (static_str_)))
+
+#ifdef __cplusplus
+}
+#endif
+
+#ifndef KIT_DISABLE_SHORT_NAMES
+# define bigint_t kit_bigint_t
+# define bi_u32 kit_bi_u32
+# define bi_u64 kit_bi_u64
+# define bi_i32 kit_bi_i32
+# define bi_i64 kit_bi_i64
+# define bi_is_zero kit_bi_is_zero
+# define bi_is_neg kit_bi_is_neg
+# define bi_equal kit_bi_equal
+# define bi_compare kit_bi_compare
+# define bi_carry kit_bi_carry
+# define bi_inc kit_bi_inc
+# define bi_dec kit_bi_dec
+# define bi_add kit_bi_add
+# define bi_neg kit_bi_neg
+# define bi_sub kit_bi_sub
+# define bi_mul kit_bi_mul
+# define bi_div kit_bi_div
+# define bi_serialize kit_bi_serialize
+# define bi_deserialize kit_bi_deserialize
+# define BIN KIT_BIN
+# define DEC KIT_DEC
+# define HEX KIT_HEX
+# define BASE32 KIT_BASE32
+# define BASE58 KIT_BASE58
+#endif
+
+#endif
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