14db55319STobias Grosser #include <stdlib.h>
2c59f22c5SMichael Kruse #include <string.h>
3c59f22c5SMichael Kruse
4c59f22c5SMichael Kruse #include <isl_int.h>
5c59f22c5SMichael Kruse
6c59f22c5SMichael Kruse extern int isl_sioimath_decode(isl_sioimath val, int32_t *small, mp_int *big);
7c59f22c5SMichael Kruse extern int isl_sioimath_decode_big(isl_sioimath val, mp_int *big);
8c59f22c5SMichael Kruse extern int isl_sioimath_decode_small(isl_sioimath val, int32_t *small);
9c59f22c5SMichael Kruse
10c59f22c5SMichael Kruse extern isl_sioimath isl_sioimath_encode_small(int32_t val);
11c59f22c5SMichael Kruse extern isl_sioimath isl_sioimath_encode_big(mp_int val);
12c59f22c5SMichael Kruse extern int isl_sioimath_is_small(isl_sioimath val);
13c59f22c5SMichael Kruse extern int isl_sioimath_is_big(isl_sioimath val);
14c59f22c5SMichael Kruse extern int32_t isl_sioimath_get_small(isl_sioimath val);
15c59f22c5SMichael Kruse extern mp_int isl_sioimath_get_big(isl_sioimath val);
16c59f22c5SMichael Kruse
17c59f22c5SMichael Kruse extern void isl_siomath_uint32_to_digits(uint32_t num, mp_digit *digits,
18c59f22c5SMichael Kruse mp_size *used);
19c59f22c5SMichael Kruse extern void isl_siomath_ulong_to_digits(unsigned long num, mp_digit *digits,
20c59f22c5SMichael Kruse mp_size *used);
21c59f22c5SMichael Kruse extern void isl_siomath_uint64_to_digits(uint64_t num, mp_digit *digits,
22c59f22c5SMichael Kruse mp_size *used);
23c59f22c5SMichael Kruse
24c59f22c5SMichael Kruse extern mp_int isl_sioimath_bigarg_src(isl_sioimath arg,
25c59f22c5SMichael Kruse isl_sioimath_scratchspace_t *scratch);
26c59f22c5SMichael Kruse extern mp_int isl_sioimath_siarg_src(signed long arg,
27c59f22c5SMichael Kruse isl_sioimath_scratchspace_t *scratch);
28c59f22c5SMichael Kruse extern mp_int isl_sioimath_si64arg_src(int64_t arg,
29c59f22c5SMichael Kruse isl_sioimath_scratchspace_t *scratch);
30c59f22c5SMichael Kruse extern mp_int isl_sioimath_uiarg_src(unsigned long arg,
31c59f22c5SMichael Kruse isl_sioimath_scratchspace_t *scratch);
32c59f22c5SMichael Kruse extern mp_int isl_sioimath_reinit_big(isl_sioimath_ptr ptr);
33c59f22c5SMichael Kruse extern void isl_sioimath_set_small(isl_sioimath_ptr ptr, int32_t val);
34c59f22c5SMichael Kruse extern void isl_sioimath_set_int32(isl_sioimath_ptr ptr, int32_t val);
35c59f22c5SMichael Kruse extern void isl_sioimath_set_int64(isl_sioimath_ptr ptr, int64_t val);
36c59f22c5SMichael Kruse extern void isl_sioimath_promote(isl_sioimath_ptr dst);
37c59f22c5SMichael Kruse extern void isl_sioimath_try_demote(isl_sioimath_ptr dst);
38c59f22c5SMichael Kruse
39c59f22c5SMichael Kruse extern void isl_sioimath_init(isl_sioimath_ptr dst);
40c59f22c5SMichael Kruse extern void isl_sioimath_clear(isl_sioimath_ptr dst);
41c59f22c5SMichael Kruse extern void isl_sioimath_set(isl_sioimath_ptr dst, isl_sioimath_src val);
42c59f22c5SMichael Kruse extern void isl_sioimath_set_si(isl_sioimath_ptr dst, long val);
43c59f22c5SMichael Kruse extern void isl_sioimath_set_ui(isl_sioimath_ptr dst, unsigned long val);
44c59f22c5SMichael Kruse extern int isl_sioimath_fits_slong(isl_sioimath_src val);
45c59f22c5SMichael Kruse extern long isl_sioimath_get_si(isl_sioimath_src val);
46c59f22c5SMichael Kruse extern int isl_sioimath_fits_ulong(isl_sioimath_src val);
47c59f22c5SMichael Kruse extern unsigned long isl_sioimath_get_ui(isl_sioimath_src val);
48c59f22c5SMichael Kruse extern double isl_sioimath_get_d(isl_sioimath_src val);
49c59f22c5SMichael Kruse extern char *isl_sioimath_get_str(isl_sioimath_src val);
50c59f22c5SMichael Kruse extern void isl_sioimath_abs(isl_sioimath_ptr dst, isl_sioimath_src arg);
51c59f22c5SMichael Kruse extern void isl_sioimath_neg(isl_sioimath_ptr dst, isl_sioimath_src arg);
52c59f22c5SMichael Kruse extern void isl_sioimath_swap(isl_sioimath_ptr lhs, isl_sioimath_ptr rhs);
53c59f22c5SMichael Kruse extern void isl_sioimath_add_ui(isl_sioimath_ptr dst, isl_sioimath lhs,
54c59f22c5SMichael Kruse unsigned long rhs);
55c59f22c5SMichael Kruse extern void isl_sioimath_sub_ui(isl_sioimath_ptr dst, isl_sioimath lhs,
56c59f22c5SMichael Kruse unsigned long rhs);
57c59f22c5SMichael Kruse
58c59f22c5SMichael Kruse extern void isl_sioimath_add(isl_sioimath_ptr dst, isl_sioimath_src lhs,
59c59f22c5SMichael Kruse isl_sioimath_src rhs);
60c59f22c5SMichael Kruse extern void isl_sioimath_sub(isl_sioimath_ptr dst, isl_sioimath_src lhs,
61c59f22c5SMichael Kruse isl_sioimath_src rhs);
62c59f22c5SMichael Kruse extern void isl_sioimath_mul(isl_sioimath_ptr dst, isl_sioimath_src lhs,
63c59f22c5SMichael Kruse isl_sioimath_src rhs);
64c59f22c5SMichael Kruse extern void isl_sioimath_mul_2exp(isl_sioimath_ptr dst, isl_sioimath lhs,
65c59f22c5SMichael Kruse unsigned long rhs);
66c59f22c5SMichael Kruse extern void isl_sioimath_mul_si(isl_sioimath_ptr dst, isl_sioimath lhs,
67c59f22c5SMichael Kruse signed long rhs);
68c59f22c5SMichael Kruse extern void isl_sioimath_mul_ui(isl_sioimath_ptr dst, isl_sioimath lhs,
69c59f22c5SMichael Kruse unsigned long rhs);
70c59f22c5SMichael Kruse extern void isl_sioimath_pow_ui(isl_sioimath_ptr dst, isl_sioimath_src lhs,
71c59f22c5SMichael Kruse unsigned long rhs);
72c59f22c5SMichael Kruse extern void isl_sioimath_addmul(isl_sioimath_ptr dst, isl_sioimath_src lhs,
73c59f22c5SMichael Kruse isl_sioimath_src rhs);
74c59f22c5SMichael Kruse extern void isl_sioimath_addmul_ui(isl_sioimath_ptr dst, isl_sioimath_src lhs,
75c59f22c5SMichael Kruse unsigned long rhs);
76c59f22c5SMichael Kruse extern void isl_sioimath_submul(isl_sioimath_ptr dst, isl_sioimath_src lhs,
77c59f22c5SMichael Kruse isl_sioimath_src rhs);
78c59f22c5SMichael Kruse extern void isl_sioimath_submul_ui(isl_sioimath_ptr dst, isl_sioimath_src lhs,
79c59f22c5SMichael Kruse unsigned long rhs);
80c59f22c5SMichael Kruse
81c59f22c5SMichael Kruse /* Implements the Euclidean algorithm to compute the greatest common divisor of
82c59f22c5SMichael Kruse * two values in small representation.
83c59f22c5SMichael Kruse */
isl_sioimath_smallgcd(int32_t lhs,int32_t rhs)84c59f22c5SMichael Kruse static uint32_t isl_sioimath_smallgcd(int32_t lhs, int32_t rhs)
85c59f22c5SMichael Kruse {
86c59f22c5SMichael Kruse uint32_t dividend, divisor, remainder;
87c59f22c5SMichael Kruse
88c59f22c5SMichael Kruse dividend = labs(lhs);
89c59f22c5SMichael Kruse divisor = labs(rhs);
90c59f22c5SMichael Kruse while (divisor) {
91c59f22c5SMichael Kruse remainder = dividend % divisor;
92c59f22c5SMichael Kruse dividend = divisor;
93c59f22c5SMichael Kruse divisor = remainder;
94c59f22c5SMichael Kruse }
95c59f22c5SMichael Kruse
96c59f22c5SMichael Kruse return dividend;
97c59f22c5SMichael Kruse }
98c59f22c5SMichael Kruse
99c59f22c5SMichael Kruse /* Compute the greatest common divisor.
100c59f22c5SMichael Kruse *
101c59f22c5SMichael Kruse * Per GMP convention, gcd(0,0)==0 and otherwise always positive.
102c59f22c5SMichael Kruse */
isl_sioimath_gcd(isl_sioimath_ptr dst,isl_sioimath_src lhs,isl_sioimath_src rhs)103bc776a70SMichael Kruse void isl_sioimath_gcd(isl_sioimath_ptr dst, isl_sioimath_src lhs,
104c59f22c5SMichael Kruse isl_sioimath_src rhs)
105c59f22c5SMichael Kruse {
106c59f22c5SMichael Kruse int32_t lhssmall, rhssmall;
107c59f22c5SMichael Kruse uint32_t smallgcd;
108c59f22c5SMichael Kruse isl_sioimath_scratchspace_t scratchlhs, scratchrhs;
109c59f22c5SMichael Kruse
110c59f22c5SMichael Kruse if (isl_sioimath_decode_small(lhs, &lhssmall) &&
111c59f22c5SMichael Kruse isl_sioimath_decode_small(rhs, &rhssmall)) {
112c59f22c5SMichael Kruse smallgcd = isl_sioimath_smallgcd(lhssmall, rhssmall);
113c59f22c5SMichael Kruse isl_sioimath_set_small(dst, smallgcd);
114c59f22c5SMichael Kruse return;
115c59f22c5SMichael Kruse }
116c59f22c5SMichael Kruse
117c59f22c5SMichael Kruse impz_gcd(isl_sioimath_reinit_big(dst),
118c59f22c5SMichael Kruse isl_sioimath_bigarg_src(lhs, &scratchlhs),
119c59f22c5SMichael Kruse isl_sioimath_bigarg_src(rhs, &scratchrhs));
120c59f22c5SMichael Kruse isl_sioimath_try_demote(dst);
121c59f22c5SMichael Kruse }
122c59f22c5SMichael Kruse
123c59f22c5SMichael Kruse /* Compute the lowest common multiple of two numbers.
124c59f22c5SMichael Kruse */
isl_sioimath_lcm(isl_sioimath_ptr dst,isl_sioimath_src lhs,isl_sioimath_src rhs)125c59f22c5SMichael Kruse void isl_sioimath_lcm(isl_sioimath_ptr dst, isl_sioimath_src lhs,
126c59f22c5SMichael Kruse isl_sioimath_src rhs)
127c59f22c5SMichael Kruse {
128c59f22c5SMichael Kruse int32_t lhssmall, rhssmall;
129c59f22c5SMichael Kruse uint32_t smallgcd;
130c59f22c5SMichael Kruse uint64_t multiple;
131c59f22c5SMichael Kruse isl_sioimath_scratchspace_t scratchlhs, scratchrhs;
132c59f22c5SMichael Kruse
133c59f22c5SMichael Kruse if (isl_sioimath_decode_small(lhs, &lhssmall) &&
134c59f22c5SMichael Kruse isl_sioimath_decode_small(rhs, &rhssmall)) {
135c59f22c5SMichael Kruse if (lhssmall == 0 || rhssmall == 0) {
136c59f22c5SMichael Kruse isl_sioimath_set_small(dst, 0);
137c59f22c5SMichael Kruse return;
138c59f22c5SMichael Kruse }
139c59f22c5SMichael Kruse smallgcd = isl_sioimath_smallgcd(lhssmall, rhssmall);
140c59f22c5SMichael Kruse multiple = (uint64_t) abs(lhssmall) * (uint64_t) abs(rhssmall);
141c59f22c5SMichael Kruse isl_sioimath_set_int64(dst, multiple / smallgcd);
142c59f22c5SMichael Kruse return;
143c59f22c5SMichael Kruse }
144c59f22c5SMichael Kruse
145c59f22c5SMichael Kruse impz_lcm(isl_sioimath_reinit_big(dst),
146c59f22c5SMichael Kruse isl_sioimath_bigarg_src(lhs, &scratchlhs),
147c59f22c5SMichael Kruse isl_sioimath_bigarg_src(rhs, &scratchrhs));
148c59f22c5SMichael Kruse isl_sioimath_try_demote(dst);
149c59f22c5SMichael Kruse }
150c59f22c5SMichael Kruse
151c59f22c5SMichael Kruse extern void isl_sioimath_tdiv_q(isl_sioimath_ptr dst, isl_sioimath_src lhs,
152c59f22c5SMichael Kruse isl_sioimath_src rhs);
153c59f22c5SMichael Kruse extern void isl_sioimath_tdiv_q_ui(isl_sioimath_ptr dst, isl_sioimath_src lhs,
154c59f22c5SMichael Kruse unsigned long rhs);
155c59f22c5SMichael Kruse extern void isl_sioimath_cdiv_q(isl_sioimath_ptr dst, isl_sioimath_src lhs,
156c59f22c5SMichael Kruse isl_sioimath_src rhs);
157*5e414589STobias Grosser extern void isl_sioimath_cdiv_q_ui(isl_sioimath_ptr dst, isl_sioimath_src lhs,
158*5e414589STobias Grosser unsigned long rhs);
159c59f22c5SMichael Kruse extern void isl_sioimath_fdiv_q(isl_sioimath_ptr dst, isl_sioimath_src lhs,
160c59f22c5SMichael Kruse isl_sioimath_src rhs);
161c59f22c5SMichael Kruse extern void isl_sioimath_fdiv_q_ui(isl_sioimath_ptr dst, isl_sioimath_src lhs,
162c59f22c5SMichael Kruse unsigned long rhs);
163c59f22c5SMichael Kruse extern void isl_sioimath_fdiv_r(isl_sioimath_ptr dst, isl_sioimath_src lhs,
164c59f22c5SMichael Kruse isl_sioimath_src rhs);
165c59f22c5SMichael Kruse
166c59f22c5SMichael Kruse /* Parse a number from a string.
167c59f22c5SMichael Kruse * If it has less than 10 characters then it will fit into the small
168c59f22c5SMichael Kruse * representation (i.e. strlen("2147483647")). Otherwise, let IMath parse it.
169c59f22c5SMichael Kruse */
isl_sioimath_read(isl_sioimath_ptr dst,const char * str)170c59f22c5SMichael Kruse void isl_sioimath_read(isl_sioimath_ptr dst, const char *str)
171c59f22c5SMichael Kruse {
172c59f22c5SMichael Kruse int32_t small;
173c59f22c5SMichael Kruse
174c59f22c5SMichael Kruse if (strlen(str) < 10) {
175c59f22c5SMichael Kruse small = strtol(str, NULL, 10);
176c59f22c5SMichael Kruse isl_sioimath_set_small(dst, small);
177c59f22c5SMichael Kruse return;
178c59f22c5SMichael Kruse }
179c59f22c5SMichael Kruse
180c59f22c5SMichael Kruse mp_int_read_string(isl_sioimath_reinit_big(dst), 10, str);
181c59f22c5SMichael Kruse isl_sioimath_try_demote(dst);
182c59f22c5SMichael Kruse }
183c59f22c5SMichael Kruse
184c59f22c5SMichael Kruse extern int isl_sioimath_sgn(isl_sioimath_src arg);
185c59f22c5SMichael Kruse extern int isl_sioimath_cmp(isl_sioimath_src lhs, isl_sioimath_src rhs);
186c59f22c5SMichael Kruse extern int isl_sioimath_cmp_si(isl_sioimath_src lhs, signed long rhs);
187c59f22c5SMichael Kruse extern int isl_sioimath_abs_cmp(isl_sioimath_src lhs, isl_sioimath_src rhs);
188c59f22c5SMichael Kruse extern int isl_sioimath_is_divisible_by(isl_sioimath_src lhs,
189c59f22c5SMichael Kruse isl_sioimath_src rhs);
190c59f22c5SMichael Kruse
191c59f22c5SMichael Kruse extern uint32_t isl_sioimath_hash(isl_sioimath_src arg, uint32_t hash);
192c59f22c5SMichael Kruse extern size_t isl_sioimath_sizeinbase(isl_sioimath_src arg, int base);
193c59f22c5SMichael Kruse extern void isl_sioimath_print(FILE *out, isl_sioimath_src i, int width);
194c59f22c5SMichael Kruse
195c59f22c5SMichael Kruse /* Print an isl_int to FILE*. Adds space padding to the left until at least
196c59f22c5SMichael Kruse * width characters are printed.
197c59f22c5SMichael Kruse */
isl_sioimath_print(FILE * out,isl_sioimath_src i,int width)198c59f22c5SMichael Kruse void isl_sioimath_print(FILE *out, isl_sioimath_src i, int width)
199c59f22c5SMichael Kruse {
200c59f22c5SMichael Kruse size_t len;
201c59f22c5SMichael Kruse int32_t small;
202c59f22c5SMichael Kruse mp_int big;
203c59f22c5SMichael Kruse char *buf;
204c59f22c5SMichael Kruse
205c59f22c5SMichael Kruse if (isl_sioimath_decode_small(i, &small)) {
206c59f22c5SMichael Kruse fprintf(out, "%*" PRIi32, width, small);
207c59f22c5SMichael Kruse return;
208c59f22c5SMichael Kruse }
209c59f22c5SMichael Kruse
210c59f22c5SMichael Kruse big = isl_sioimath_get_big(i);
211c59f22c5SMichael Kruse len = mp_int_string_len(big, 10);
212c59f22c5SMichael Kruse buf = malloc(len);
213c59f22c5SMichael Kruse mp_int_to_string(big, 10, buf, len);
214c59f22c5SMichael Kruse fprintf(out, "%*s", width, buf);
215c59f22c5SMichael Kruse free(buf);
216c59f22c5SMichael Kruse }
217c59f22c5SMichael Kruse
218c59f22c5SMichael Kruse /* Print a number to stdout. Meant for debugging.
219c59f22c5SMichael Kruse */
isl_sioimath_dump(isl_sioimath_src arg)220c59f22c5SMichael Kruse void isl_sioimath_dump(isl_sioimath_src arg)
221c59f22c5SMichael Kruse {
222c59f22c5SMichael Kruse isl_sioimath_print(stdout, arg, 0);
223c59f22c5SMichael Kruse }
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