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-rw-r--r--stdlib/integers.c490
1 files changed, 490 insertions, 0 deletions
diff --git a/stdlib/integers.c b/stdlib/integers.c
new file mode 100644
index 00000000..ef588984
--- /dev/null
+++ b/stdlib/integers.c
@@ -0,0 +1,490 @@
+// Integer type infos and methods
+#include <ctype.h>
+#include <gc.h>
+#include <gmp.h>
+#include <stdbool.h>
+#include <stdint.h>
+#include <stdlib.h>
+
+#include "arrays.h"
+#include "datatypes.h"
+#include "integers.h"
+#include "optionals.h"
+#include "siphash.h"
+#include "text.h"
+#include "types.h"
+
+static gmp_randstate_t Int_rng = {};
+
+public void Int$init_random(long seed) {
+ gmp_randinit_default(Int_rng);
+ gmp_randseed_ui(Int_rng, (unsigned long)seed);
+}
+
+public Text_t Int$value_as_text(Int_t i) {
+ if (__builtin_expect(i.small & 1, 1)) {
+ return Text$format("%ld", (i.small)>>2);
+ } else {
+ char *str = mpz_get_str(NULL, 10, *i.big);
+ return Text$from_str(str);
+ }
+}
+
+public Text_t Int$as_text(const Int_t *i, bool colorize, const TypeInfo *type) {
+ (void)type;
+ if (!i) return Text("Int");
+
+ Text_t text = Int$value_as_text(*i);
+ if (colorize) text = Text$concat(Text("\x1b[35m"), text, Text("\x1b[m"));
+ return text;
+}
+
+public PUREFUNC int32_t Int$compare(const Int_t *x, const Int_t *y, const TypeInfo *type) {
+ (void)type;
+ if (__builtin_expect(((x->small | y->small) & 1) == 0, 0))
+ return x->big == y->big ? 0 : mpz_cmp(*x->big, *y->big);
+ return (x->small > y->small) - (x->small < y->small);
+}
+
+public PUREFUNC int32_t Int$compare_value(const Int_t x, const Int_t y) {
+ if (__builtin_expect(((x.small | y.small) & 1) == 0, 0))
+ return x.big == y.big ? 0 : mpz_cmp(*x.big, *y.big);
+ return (x.small > y.small) - (x.small < y.small);
+}
+
+public PUREFUNC bool Int$equal(const Int_t *x, const Int_t *y, const TypeInfo *type) {
+ (void)type;
+ return x->small == y->small || (__builtin_expect(((x->small | y->small) & 1) == 0, 0) && mpz_cmp(*x->big, *y->big) == 0);
+}
+
+public PUREFUNC bool Int$equal_value(const Int_t x, const Int_t y) {
+ return x.small == y.small || (__builtin_expect(((x.small | y.small) & 1) == 0, 0) && mpz_cmp(*x.big, *y.big) == 0);
+}
+
+public PUREFUNC uint64_t Int$hash(const Int_t *x, const TypeInfo *type) {
+ (void)type;
+ if (__builtin_expect(x->small & 1, 1)) {
+ int64_t i = (x->small>>2);
+ return siphash24((void*)&i, sizeof(i));
+ } else {
+ char *str = mpz_get_str(NULL, 16, *x->big);
+ return siphash24((void*)str, strlen(str));
+ }
+}
+
+public Text_t Int$format(Int_t i, Int_t digits_int) {
+ int64_t digits = Int_to_Int64(digits_int, false);
+ if (__builtin_expect(i.small & 1, 1)) {
+ return Text$format("%0.*ld", digits, (i.small)>>2);
+ } else {
+ char *str = mpz_get_str(NULL, 10, *i.big);
+ bool negative = (str[0] == '-');
+ int64_t needed_zeroes = digits - (int64_t)strlen(str);
+ if (needed_zeroes <= 0)
+ return Text$from_str(str);
+
+ char *zeroes = GC_MALLOC_ATOMIC((size_t)(needed_zeroes));
+ memset(zeroes, '0', (size_t)(needed_zeroes));
+ if (negative)
+ return Text$concat(Text("-"), Text$from_str(zeroes), Text$from_str(str + 1));
+ else
+ return Text$concat(Text$from_str(zeroes), Text$from_str(str));
+ }
+}
+
+public Text_t Int$hex(Int_t i, Int_t digits_int, bool uppercase, bool prefix) {
+ if (Int$is_negative(i))
+ return Text$concat(Text("-"), Int$hex(Int$negative(i), digits_int, uppercase, prefix));
+
+ int64_t digits = Int_to_Int64(digits_int, false);
+ if (__builtin_expect(i.small & 1, 1)) {
+ const char *hex_fmt = uppercase ? (prefix ? "0x%0.*lX" : "%0.*lX") : (prefix ? "0x%0.*lx" : "%0.*lx");
+ return Text$format(hex_fmt, digits, (i.small)>>2);
+ } else {
+ char *str = mpz_get_str(NULL, 16, *i.big);
+ if (uppercase) {
+ for (char *c = str; *c; c++)
+ *c = (char)toupper(*c);
+ }
+ int64_t needed_zeroes = digits - (int64_t)strlen(str);
+ if (needed_zeroes <= 0)
+ return prefix ? Text$concat(Text("0x"), Text$from_str(str)) : Text$from_str(str);
+
+ char *zeroes = GC_MALLOC_ATOMIC((size_t)(needed_zeroes));
+ memset(zeroes, '0', (size_t)(needed_zeroes));
+ if (prefix)
+ return Text$concat(Text("0x"), Text$from_str(zeroes), Text$from_str(str));
+ else
+ return Text$concat(Text$from_str(zeroes), Text$from_str(str));
+ }
+}
+
+public Text_t Int$octal(Int_t i, Int_t digits_int, bool prefix) {
+ if (Int$is_negative(i))
+ return Text$concat(Text("-"), Int$octal(Int$negative(i), digits_int, prefix));
+
+ int64_t digits = Int_to_Int64(digits_int, false);
+ if (__builtin_expect(i.small & 1, 1)) {
+ const char *octal_fmt = prefix ? "0o%0.*lo" : "%0.*lo";
+ return Text$format(octal_fmt, digits, (i.small)>>2);
+ } else {
+ char *str = mpz_get_str(NULL, 8, *i.big);
+ int64_t needed_zeroes = digits - (int64_t)strlen(str);
+ if (needed_zeroes <= 0)
+ return prefix ? Text$concat(Text("0o"), Text$from_str(str)) : Text$from_str(str);
+
+ char *zeroes = GC_MALLOC_ATOMIC((size_t)(needed_zeroes));
+ memset(zeroes, '0', (size_t)(needed_zeroes));
+ if (prefix)
+ return Text$concat(Text("0o"), Text$from_str(zeroes), Text$from_str(str));
+ else
+ return Text$concat(Text$from_str(zeroes), Text$from_str(str));
+ }
+}
+
+public Int_t Int$slow_plus(Int_t x, Int_t y) {
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ if (y.small & 1) {
+ if (y.small < 0)
+ mpz_sub_ui(result, result, (uint64_t)(-(y.small >> 2)));
+ else
+ mpz_add_ui(result, result, (uint64_t)(y.small >> 2));
+ } else {
+ mpz_add(result, result, *y.big);
+ }
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$slow_minus(Int_t x, Int_t y) {
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ if (y.small & 1) {
+ if (y.small < 0)
+ mpz_add_ui(result, result, (uint64_t)(-(y.small >> 2)));
+ else
+ mpz_sub_ui(result, result, (uint64_t)(y.small >> 2));
+ } else {
+ mpz_sub(result, result, *y.big);
+ }
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$slow_times(Int_t x, Int_t y) {
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ if (y.small & 1)
+ mpz_mul_si(result, result, y.small >> 2);
+ else
+ mpz_mul(result, result, *y.big);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$slow_divided_by(Int_t dividend, Int_t divisor) {
+ // Euclidean division, see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/divmodnote-letter.pdf
+ mpz_t quotient, remainder;
+ mpz_init_set_int(quotient, dividend);
+ mpz_init_set_int(remainder, divisor);
+ mpz_tdiv_qr(quotient, remainder, quotient, remainder);
+ if (mpz_sgn(remainder) < 0) {
+ bool d_positive = __builtin_expect(divisor.small & 1, 1) ? divisor.small > 0x1 : mpz_sgn(*divisor.big) > 0;
+ if (d_positive)
+ mpz_sub_ui(quotient, quotient, 1);
+ else
+ mpz_add_ui(quotient, quotient, 1);
+ }
+ return Int$from_mpz(quotient);
+}
+
+public Int_t Int$slow_modulo(Int_t x, Int_t modulus)
+{
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ mpz_t divisor;
+ mpz_init_set_int(divisor, modulus);
+ mpz_mod(result, result, divisor);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$slow_modulo1(Int_t x, Int_t modulus)
+{
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ mpz_sub_ui(result, result, 1);
+ mpz_t divisor;
+ mpz_init_set_int(divisor, modulus);
+ mpz_mod(result, result, divisor);
+ mpz_add_ui(result, result, 1);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$slow_left_shifted(Int_t x, Int_t y)
+{
+ mp_bitcnt_t bits = (mp_bitcnt_t)Int_to_Int64(y, false);
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ mpz_mul_2exp(result, result, bits);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$slow_right_shifted(Int_t x, Int_t y)
+{
+ mp_bitcnt_t bits = (mp_bitcnt_t)Int_to_Int64(y, false);
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ mpz_tdiv_q_2exp(result, result, bits);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$slow_bit_and(Int_t x, Int_t y)
+{
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ mpz_t y_mpz;
+ mpz_init_set_int(y_mpz, y);
+ mpz_and(result, result, y_mpz);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$slow_bit_or(Int_t x, Int_t y)
+{
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ mpz_t y_mpz;
+ mpz_init_set_int(y_mpz, y);
+ mpz_ior(result, result, y_mpz);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$slow_bit_xor(Int_t x, Int_t y)
+{
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ mpz_t y_mpz;
+ mpz_init_set_int(y_mpz, y);
+ mpz_xor(result, result, y_mpz);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$slow_negated(Int_t x)
+{
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ mpz_neg(result, result);
+ mpz_sub_ui(result, result, 1);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$slow_negative(Int_t x)
+{
+ if (__builtin_expect((x.small & 1), 1))
+ return (Int_t){.small=4*-((x.small)>>2) + 1};
+
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ mpz_neg(result, result);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$abs(Int_t x)
+{
+ if (__builtin_expect((x.small & 1), 1))
+ return (Int_t){.small=4*labs((x.small)>>2) + 1};
+
+ mpz_t result;
+ mpz_init_set_int(result, x);
+ mpz_abs(result, result);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$power(Int_t base, Int_t exponent)
+{
+ int64_t exp = Int_to_Int64(exponent, false);
+ if (__builtin_expect(exp < 0, 0))
+ fail("Cannot take a negative power of an integer!");
+ mpz_t result;
+ mpz_init_set_int(result, base);
+ mpz_pow_ui(result, result, (uint64_t)exp);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$sqrt(Int_t i)
+{
+ mpz_t result;
+ mpz_init_set_int(result, i);
+ mpz_sqrt(result, result);
+ return Int$from_mpz(result);
+}
+
+public Int_t Int$random(Int_t min, Int_t max) {
+ int32_t cmp = Int$compare_value(min, max);
+ if (cmp > 0) {
+ Text_t min_text = Int$as_text(&min, false, &Int$info), max_text = Int$as_text(&max, false, &Int$info);
+ fail("Random minimum value (%k) is larger than the maximum value (%k)",
+ &min_text, &max_text);
+ }
+ if (cmp == 0) return min;
+
+ mpz_t range_size;
+ mpz_init_set_int(range_size, max);
+ if (min.small & 1) {
+ mpz_t min_mpz;
+ mpz_init_set_si(min_mpz, min.small >> 2);
+ mpz_sub(range_size, range_size, min_mpz);
+ } else {
+ mpz_sub(range_size, range_size, *min.big);
+ }
+
+ mpz_t r;
+ mpz_init(r);
+ mpz_urandomm(r, Int_rng, range_size);
+ return Int$plus(min, Int$from_mpz(r));
+}
+
+public PUREFUNC Range_t Int$to(Int_t from, Int_t to) {
+ return (Range_t){from, to, Int$compare_value(to, from) >= 0 ? (Int_t){.small=(1<<2)|1} : (Int_t){.small=(-1>>2)|1}};
+}
+
+public Int_t Int$from_str(const char *str) {
+ mpz_t i;
+ int result;
+ if (strncmp(str, "0x", 2) == 0) {
+ result = mpz_init_set_str(i, str + 2, 16);
+ } else if (strncmp(str, "0o", 2) == 0) {
+ result = mpz_init_set_str(i, str + 2, 8);
+ } else if (strncmp(str, "0b", 2) == 0) {
+ result = mpz_init_set_str(i, str + 2, 2);
+ } else {
+ result = mpz_init_set_str(i, str, 10);
+ }
+ if (result != 0)
+ return NULL_INT;
+ return Int$from_mpz(i);
+}
+
+public OptionalInt_t Int$from_text(Text_t text) {
+ return Int$from_str(Text$as_c_string(text));
+}
+
+public bool Int$is_prime(Int_t x, Int_t reps)
+{
+ mpz_t p;
+ mpz_init_set_int(p, x);
+ if (Int$compare_value(reps, I(9999)) > 0)
+ fail("Number of prime-test repetitions should not be above 9999");
+ int reps_int = Int_to_Int32(reps, false);
+ return (mpz_probab_prime_p(p, reps_int) != 0);
+}
+
+public Int_t Int$next_prime(Int_t x)
+{
+ mpz_t p;
+ mpz_init_set_int(p, x);
+ mpz_nextprime(p, p);
+ return Int$from_mpz(p);
+}
+
+public Int_t Int$prev_prime(Int_t x)
+{
+ mpz_t p;
+ mpz_init_set_int(p, x);
+ if (mpz_prevprime(p, p) == 0)
+ fail("There is no prime number before %k", (Text_t[1]){Int$as_text(&x, false, &Int$info)});
+ return Int$from_mpz(p);
+}
+
+public const TypeInfo Int$info = {
+ .size=sizeof(Int_t),
+ .align=__alignof__(Int_t),
+ .tag=CustomInfo,
+ .CustomInfo={
+ .compare=(void*)Int$compare,
+ .equal=(void*)Int$equal,
+ .hash=(void*)Int$hash,
+ .as_text=(void*)Int$as_text,
+ },
+};
+
+
+#define DEFINE_INT_TYPE(c_type, KindOfInt, fmt, min_val, max_val)\
+ public Text_t KindOfInt ## $as_text(const c_type *i, bool colorize, const TypeInfo *type) { \
+ (void)type; \
+ if (!i) return Text(#KindOfInt); \
+ return Text$format(colorize ? "\x1b[35m%" fmt "\x1b[m" : "%" fmt, *i); \
+ } \
+ public PUREFUNC int32_t KindOfInt ## $compare(const c_type *x, const c_type *y, const TypeInfo *type) { \
+ (void)type; \
+ return (*x > *y) - (*x < *y); \
+ } \
+ public PUREFUNC bool KindOfInt ## $equal(const c_type *x, const c_type *y, const TypeInfo *type) { \
+ (void)type; \
+ return *x == *y; \
+ } \
+ public Text_t KindOfInt ## $format(c_type i, Int_t digits_int) { \
+ Int_t as_int = KindOfInt##_to_Int(i); \
+ return Int$format(as_int, digits_int); \
+ } \
+ public Text_t KindOfInt ## $hex(c_type i, Int_t digits_int, bool uppercase, bool prefix) { \
+ Int_t as_int = KindOfInt##_to_Int(i); \
+ return Int$hex(as_int, digits_int, uppercase, prefix); \
+ } \
+ public Text_t KindOfInt ## $octal(c_type i, Int_t digits_int, bool prefix) { \
+ Int_t as_int = KindOfInt##_to_Int(i); \
+ return Int$octal(as_int, digits_int, prefix); \
+ } \
+ public Array_t KindOfInt ## $bits(c_type x) { \
+ Array_t bit_array = (Array_t){.data=GC_MALLOC_ATOMIC(sizeof(bool[8*sizeof(c_type)])), .atomic=1, .stride=sizeof(bool), .length=8*sizeof(c_type)}; \
+ bool *bits = bit_array.data + sizeof(c_type)*8; \
+ for (size_t i = 0; i < 8*sizeof(c_type); i++) { \
+ *(bits--) = x & 1; \
+ x >>= 1; \
+ } \
+ return bit_array; \
+ } \
+ public c_type KindOfInt ## $random(c_type min, c_type max) { \
+ if (min > max) fail("Random minimum value (%ld) is larger than the maximum value (%ld)", min, max); \
+ if (min == max) return min; \
+ if (min == min_val && max == max_val) { \
+ c_type r; \
+ arc4random_buf(&r, sizeof(r)); \
+ return r; \
+ } \
+ uint64_t range = (uint64_t)max - (uint64_t)min + 1; \
+ uint64_t min_r = -range % range; \
+ uint64_t r; \
+ for (;;) { \
+ arc4random_buf(&r, sizeof(r)); \
+ if (r >= min_r) break; \
+ } \
+ return (c_type)((uint64_t)min + (r % range)); \
+ } \
+ public Range_t KindOfInt ## $to(c_type from, c_type to) { \
+ return (Range_t){Int64_to_Int(from), Int64_to_Int(to), to >= from ? (Int_t){.small=(1<<2)&1} : (Int_t){.small=(1<<2)&1}}; \
+ } \
+ public PUREFUNC Optional ## KindOfInt ## _t KindOfInt ## $from_text(Text_t text) { \
+ OptionalInt_t full_int = Int$from_text(text); \
+ if (full_int.small == 0) return (Optional ## KindOfInt ## _t){.is_null=true}; \
+ if (Int$compare_value(full_int, I(min_val)) < 0) { \
+ return (Optional ## KindOfInt ## _t){.is_null=true}; \
+ } \
+ if (Int$compare_value(full_int, I(max_val)) > 0) { \
+ return (Optional ## KindOfInt ## _t){.is_null=true}; \
+ } \
+ return (Optional ## KindOfInt ## _t){.i=Int_to_ ## KindOfInt(full_int, true)}; \
+ } \
+ public const c_type KindOfInt##$min = min_val; \
+ public const c_type KindOfInt##$max = max_val; \
+ public const TypeInfo KindOfInt##$info = { \
+ .size=sizeof(c_type), \
+ .align=__alignof__(c_type), \
+ .tag=CustomInfo, \
+ .CustomInfo={.compare=(void*)KindOfInt##$compare, .as_text=(void*)KindOfInt##$as_text}, \
+ };
+
+DEFINE_INT_TYPE(int64_t, Int64, "ld_i64", INT64_MIN, INT64_MAX)
+DEFINE_INT_TYPE(int32_t, Int32, "d_i32", INT32_MIN, INT32_MAX)
+DEFINE_INT_TYPE(int16_t, Int16, "d_i16", INT16_MIN, INT16_MAX)
+DEFINE_INT_TYPE(int8_t, Int8, "d_i8", INT8_MIN, INT8_MAX)
+#undef DEFINE_INT_TYPE
+
+// vim: ts=4 sw=0 et cino=L2,l1,(0,W4,m1,\:0
generated by cgit v1.2.3 (git 2.25.1) at 2026-03-01 20:02:29 +0000