| 1 | #include <stdlib.h> |
| 2 | #include <string.h> |
| 3 | |
| 4 | #include <isl_int.h> |
| 5 | |
| 6 | extern int isl_sioimath_decode(isl_sioimath val, int32_t *small, mp_int *big); |
| 7 | extern int isl_sioimath_decode_big(isl_sioimath val, mp_int *big); |
| 8 | extern int isl_sioimath_decode_small(isl_sioimath val, int32_t *small); |
| 9 | |
| 10 | extern isl_sioimath isl_sioimath_encode_small(int32_t val); |
| 11 | extern isl_sioimath isl_sioimath_encode_big(mp_int val); |
| 12 | extern int isl_sioimath_is_small(isl_sioimath val); |
| 13 | extern int isl_sioimath_is_big(isl_sioimath val); |
| 14 | extern int32_t isl_sioimath_get_small(isl_sioimath val); |
| 15 | extern mp_int isl_sioimath_get_big(isl_sioimath val); |
| 16 | |
| 17 | extern void isl_siomath_uint32_to_digits(uint32_t num, mp_digit *digits, |
| 18 | mp_size *used); |
| 19 | extern void isl_siomath_ulong_to_digits(unsigned long num, mp_digit *digits, |
| 20 | mp_size *used); |
| 21 | extern void isl_siomath_uint64_to_digits(uint64_t num, mp_digit *digits, |
| 22 | mp_size *used); |
| 23 | |
| 24 | extern mp_int isl_sioimath_bigarg_src(isl_sioimath arg, |
| 25 | isl_sioimath_scratchspace_t *scratch); |
| 26 | extern mp_int isl_sioimath_siarg_src(signed long arg, |
| 27 | isl_sioimath_scratchspace_t *scratch); |
| 28 | extern mp_int isl_sioimath_si64arg_src(int64_t arg, |
| 29 | isl_sioimath_scratchspace_t *scratch); |
| 30 | extern mp_int isl_sioimath_uiarg_src(unsigned long arg, |
| 31 | isl_sioimath_scratchspace_t *scratch); |
| 32 | extern mp_int isl_sioimath_reinit_big(isl_sioimath_ptr ptr); |
| 33 | extern void isl_sioimath_set_small(isl_sioimath_ptr ptr, int32_t val); |
| 34 | extern void isl_sioimath_set_int32(isl_sioimath_ptr ptr, int32_t val); |
| 35 | extern void isl_sioimath_set_int64(isl_sioimath_ptr ptr, int64_t val); |
| 36 | extern void isl_sioimath_promote(isl_sioimath_ptr dst); |
| 37 | extern void isl_sioimath_try_demote(isl_sioimath_ptr dst); |
| 38 | |
| 39 | extern void isl_sioimath_init(isl_sioimath_ptr dst); |
| 40 | extern void isl_sioimath_clear(isl_sioimath_ptr dst); |
| 41 | extern void isl_sioimath_set(isl_sioimath_ptr dst, isl_sioimath_src val); |
| 42 | extern void isl_sioimath_set_si(isl_sioimath_ptr dst, long val); |
| 43 | extern void isl_sioimath_set_ui(isl_sioimath_ptr dst, unsigned long val); |
| 44 | extern int isl_sioimath_fits_slong(isl_sioimath_src val); |
| 45 | extern long isl_sioimath_get_si(isl_sioimath_src val); |
| 46 | extern int isl_sioimath_fits_ulong(isl_sioimath_src val); |
| 47 | extern unsigned long isl_sioimath_get_ui(isl_sioimath_src val); |
| 48 | extern double isl_sioimath_get_d(isl_sioimath_src val); |
| 49 | extern char *isl_sioimath_get_str(isl_sioimath_src val); |
| 50 | extern void isl_sioimath_abs(isl_sioimath_ptr dst, isl_sioimath_src arg); |
| 51 | extern void isl_sioimath_neg(isl_sioimath_ptr dst, isl_sioimath_src arg); |
| 52 | extern void isl_sioimath_swap(isl_sioimath_ptr lhs, isl_sioimath_ptr rhs); |
| 53 | extern void isl_sioimath_add_ui(isl_sioimath_ptr dst, isl_sioimath lhs, |
| 54 | unsigned long rhs); |
| 55 | extern void isl_sioimath_sub_ui(isl_sioimath_ptr dst, isl_sioimath lhs, |
| 56 | unsigned long rhs); |
| 57 | |
| 58 | extern void isl_sioimath_add(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 59 | isl_sioimath_src rhs); |
| 60 | extern void isl_sioimath_sub(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 61 | isl_sioimath_src rhs); |
| 62 | extern void isl_sioimath_mul(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 63 | isl_sioimath_src rhs); |
| 64 | extern void isl_sioimath_mul_2exp(isl_sioimath_ptr dst, isl_sioimath lhs, |
| 65 | unsigned long rhs); |
| 66 | extern void isl_sioimath_mul_si(isl_sioimath_ptr dst, isl_sioimath lhs, |
| 67 | signed long rhs); |
| 68 | extern void isl_sioimath_mul_ui(isl_sioimath_ptr dst, isl_sioimath lhs, |
| 69 | unsigned long rhs); |
| 70 | extern void isl_sioimath_pow_ui(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 71 | unsigned long rhs); |
| 72 | extern void isl_sioimath_addmul(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 73 | isl_sioimath_src rhs); |
| 74 | extern void isl_sioimath_addmul_ui(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 75 | unsigned long rhs); |
| 76 | extern void isl_sioimath_submul(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 77 | isl_sioimath_src rhs); |
| 78 | extern void isl_sioimath_submul_ui(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 79 | unsigned long rhs); |
| 80 | |
| 81 | /* Implements the Euclidean algorithm to compute the greatest common divisor of |
| 82 | * two values in small representation. |
| 83 | */ |
| 84 | static uint32_t isl_sioimath_smallgcd(int32_t lhs, int32_t rhs) |
| 85 | { |
| 86 | uint32_t dividend, divisor, remainder; |
| 87 | |
| 88 | dividend = labs(x: lhs); |
| 89 | divisor = labs(x: rhs); |
| 90 | while (divisor) { |
| 91 | remainder = dividend % divisor; |
| 92 | dividend = divisor; |
| 93 | divisor = remainder; |
| 94 | } |
| 95 | |
| 96 | return dividend; |
| 97 | } |
| 98 | |
| 99 | /* Compute the greatest common divisor. |
| 100 | * |
| 101 | * Per GMP convention, gcd(0,0)==0 and otherwise always positive. |
| 102 | */ |
| 103 | void isl_sioimath_gcd(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 104 | isl_sioimath_src rhs) |
| 105 | { |
| 106 | int32_t lhssmall, rhssmall; |
| 107 | uint32_t smallgcd; |
| 108 | isl_sioimath_scratchspace_t scratchlhs, scratchrhs; |
| 109 | |
| 110 | if (isl_sioimath_decode_small(val: lhs, small: &lhssmall) && |
| 111 | isl_sioimath_decode_small(val: rhs, small: &rhssmall)) { |
| 112 | smallgcd = isl_sioimath_smallgcd(lhs: lhssmall, rhs: rhssmall); |
| 113 | isl_sioimath_set_small(ptr: dst, val: smallgcd); |
| 114 | return; |
| 115 | } |
| 116 | |
| 117 | impz_gcd(rop: isl_sioimath_reinit_big(ptr: dst), |
| 118 | op1: isl_sioimath_bigarg_src(arg: lhs, scratch: &scratchlhs), |
| 119 | op2: isl_sioimath_bigarg_src(arg: rhs, scratch: &scratchrhs)); |
| 120 | isl_sioimath_try_demote(dst); |
| 121 | } |
| 122 | |
| 123 | /* Compute the lowest common multiple of two numbers. |
| 124 | */ |
| 125 | void isl_sioimath_lcm(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 126 | isl_sioimath_src rhs) |
| 127 | { |
| 128 | int32_t lhssmall, rhssmall; |
| 129 | uint32_t smallgcd; |
| 130 | uint64_t multiple; |
| 131 | isl_sioimath_scratchspace_t scratchlhs, scratchrhs; |
| 132 | |
| 133 | if (isl_sioimath_decode_small(val: lhs, small: &lhssmall) && |
| 134 | isl_sioimath_decode_small(val: rhs, small: &rhssmall)) { |
| 135 | if (lhssmall == 0 || rhssmall == 0) { |
| 136 | isl_sioimath_set_small(ptr: dst, val: 0); |
| 137 | return; |
| 138 | } |
| 139 | smallgcd = isl_sioimath_smallgcd(lhs: lhssmall, rhs: rhssmall); |
| 140 | multiple = (uint64_t) abs(x: lhssmall) * (uint64_t) abs(x: rhssmall); |
| 141 | isl_sioimath_set_int64(ptr: dst, val: multiple / smallgcd); |
| 142 | return; |
| 143 | } |
| 144 | |
| 145 | impz_lcm(rop: isl_sioimath_reinit_big(ptr: dst), |
| 146 | op1: isl_sioimath_bigarg_src(arg: lhs, scratch: &scratchlhs), |
| 147 | op2: isl_sioimath_bigarg_src(arg: rhs, scratch: &scratchrhs)); |
| 148 | isl_sioimath_try_demote(dst); |
| 149 | } |
| 150 | |
| 151 | extern void isl_sioimath_tdiv_q(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 152 | isl_sioimath_src rhs); |
| 153 | extern void isl_sioimath_tdiv_q_ui(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 154 | unsigned long rhs); |
| 155 | extern void isl_sioimath_cdiv_q(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 156 | isl_sioimath_src rhs); |
| 157 | extern void isl_sioimath_cdiv_q_ui(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 158 | unsigned long rhs); |
| 159 | extern void isl_sioimath_fdiv_q(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 160 | isl_sioimath_src rhs); |
| 161 | extern void isl_sioimath_fdiv_q_ui(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 162 | unsigned long rhs); |
| 163 | extern void isl_sioimath_fdiv_r(isl_sioimath_ptr dst, isl_sioimath_src lhs, |
| 164 | isl_sioimath_src rhs); |
| 165 | |
| 166 | /* Parse a number from a string. |
| 167 | * If it has less than 10 characters then it will fit into the small |
| 168 | * representation (i.e. strlen("2147483647")). Otherwise, let IMath parse it. |
| 169 | */ |
| 170 | void isl_sioimath_read(isl_sioimath_ptr dst, const char *str) |
| 171 | { |
| 172 | int32_t small; |
| 173 | |
| 174 | if (strlen(s: str) < 10) { |
| 175 | small = strtol(nptr: str, NULL, base: 10); |
| 176 | isl_sioimath_set_small(ptr: dst, val: small); |
| 177 | return; |
| 178 | } |
| 179 | |
| 180 | mp_int_read_string(z: isl_sioimath_reinit_big(ptr: dst), radix: 10, str); |
| 181 | isl_sioimath_try_demote(dst); |
| 182 | } |
| 183 | |
| 184 | extern int isl_sioimath_sgn(isl_sioimath_src arg); |
| 185 | extern int isl_sioimath_cmp(isl_sioimath_src lhs, isl_sioimath_src rhs); |
| 186 | extern int isl_sioimath_cmp_si(isl_sioimath_src lhs, signed long rhs); |
| 187 | extern int isl_sioimath_abs_cmp(isl_sioimath_src lhs, isl_sioimath_src rhs); |
| 188 | extern int isl_sioimath_is_divisible_by(isl_sioimath_src lhs, |
| 189 | isl_sioimath_src rhs); |
| 190 | |
| 191 | extern uint32_t isl_sioimath_hash(isl_sioimath_src arg, uint32_t hash); |
| 192 | extern size_t isl_sioimath_sizeinbase(isl_sioimath_src arg, int base); |
| 193 | extern void isl_sioimath_print(FILE *out, isl_sioimath_src i, int width); |
| 194 | |
| 195 | /* Print an isl_int to FILE*. Adds space padding to the left until at least |
| 196 | * width characters are printed. |
| 197 | */ |
| 198 | void isl_sioimath_print(FILE *out, isl_sioimath_src i, int width) |
| 199 | { |
| 200 | size_t len; |
| 201 | int32_t small; |
| 202 | mp_int big; |
| 203 | char *buf; |
| 204 | |
| 205 | if (isl_sioimath_decode_small(val: i, small: &small)) { |
| 206 | fprintf(stream: out, format: "%*" PRIi32, width, small); |
| 207 | return; |
| 208 | } |
| 209 | |
| 210 | big = isl_sioimath_get_big(val: i); |
| 211 | len = mp_int_string_len(z: big, radix: 10); |
| 212 | buf = malloc(size: len); |
| 213 | mp_int_to_string(z: big, radix: 10, str: buf, limit: len); |
| 214 | fprintf(stream: out, format: "%*s" , width, buf); |
| 215 | free(ptr: buf); |
| 216 | } |
| 217 | |
| 218 | /* Print a number to stdout. Meant for debugging. |
| 219 | */ |
| 220 | void isl_sioimath_dump(isl_sioimath_src arg) |
| 221 | { |
| 222 | isl_sioimath_print(stdout, i: arg, width: 0); |
| 223 | } |
| 224 | |