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 | |