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#include <sollya.h>
#include <mpfr.h>
#include <mpfi.h>
int stupid_wrapper(sollya_obj_t f, sollya_base_function_t *type, int *n, ...) {
va_list va;
int res;
va_start(va, n);
res = sollya_lib_v_decompose_function(f, type, n, va);
va_end(va);
return res;
}
char *pretty_print(sollya_base_function_t type) {
switch(type) {
case SOLLYA_BASE_FUNC_ABS: return "SOLLYA_BASE_FUNC_ABS";
case SOLLYA_BASE_FUNC_ACOS: return "SOLLYA_BASE_FUNC_ACOS";
case SOLLYA_BASE_FUNC_ACOSH: return "SOLLYA_BASE_FUNC_ACOSH";
case SOLLYA_BASE_FUNC_ADD: return "SOLLYA_BASE_FUNC_ADD";
case SOLLYA_BASE_FUNC_ASIN: return "SOLLYA_BASE_FUNC_ASIN";
case SOLLYA_BASE_FUNC_ASINH: return "SOLLYA_BASE_FUNC_ASINH";
case SOLLYA_BASE_FUNC_ATAN: return "SOLLYA_BASE_FUNC_ATAN";
case SOLLYA_BASE_FUNC_ATANH: return "SOLLYA_BASE_FUNC_ATANH";
case SOLLYA_BASE_FUNC_CEIL: return "SOLLYA_BASE_FUNC_CEIL";
case SOLLYA_BASE_FUNC_CONSTANT: return "SOLLYA_BASE_FUNC_CONSTANT";
case SOLLYA_BASE_FUNC_COS: return "SOLLYA_BASE_FUNC_COS";
case SOLLYA_BASE_FUNC_COSH: return "SOLLYA_BASE_FUNC_COSH";
case SOLLYA_BASE_FUNC_DIV: return "SOLLYA_BASE_FUNC_DIV";
case SOLLYA_BASE_FUNC_DOUBLE: return "SOLLYA_BASE_FUNC_DOUBLE";
case SOLLYA_BASE_FUNC_DOUBLEDOUBLE: return "SOLLYA_BASE_FUNC_DOUBLEDOUBLE";
case SOLLYA_BASE_FUNC_DOUBLEEXTENDED: return "SOLLYA_BASE_FUNC_DOUBLEEXTENDED";
case SOLLYA_BASE_FUNC_ERF: return "SOLLYA_BASE_FUNC_ERF";
case SOLLYA_BASE_FUNC_ERFC: return "SOLLYA_BASE_FUNC_ERFC";
case SOLLYA_BASE_FUNC_EXP: return "SOLLYA_BASE_FUNC_EXP";
case SOLLYA_BASE_FUNC_EXP_M1: return "SOLLYA_BASE_FUNC_EXP_M1";
case SOLLYA_BASE_FUNC_FLOOR: return "SOLLYA_BASE_FUNC_FLOOR";
case SOLLYA_BASE_FUNC_FREE_VARIABLE: return "SOLLYA_BASE_FUNC_FREE_VARIABLE";
case SOLLYA_BASE_FUNC_HALFPRECISION: return "SOLLYA_BASE_FUNC_HALFPRECISION";
case SOLLYA_BASE_FUNC_LIBRARYCONSTANT: return "SOLLYA_BASE_FUNC_LIBRARYCONSTANT";
case SOLLYA_BASE_FUNC_LIBRARYFUNCTION: return "SOLLYA_BASE_FUNC_LIBRARYFUNCTION";
case SOLLYA_BASE_FUNC_LOG: return "SOLLYA_BASE_FUNC_LOG";
case SOLLYA_BASE_FUNC_LOG_10: return "SOLLYA_BASE_FUNC_LOG_10";
case SOLLYA_BASE_FUNC_LOG_1P: return "SOLLYA_BASE_FUNC_LOG_1P";
case SOLLYA_BASE_FUNC_LOG_2: return "SOLLYA_BASE_FUNC_LOG_2";
case SOLLYA_BASE_FUNC_MUL: return "SOLLYA_BASE_FUNC_MUL";
case SOLLYA_BASE_FUNC_NEARESTINT: return "SOLLYA_BASE_FUNC_NEARESTINT";
case SOLLYA_BASE_FUNC_NEG: return "SOLLYA_BASE_FUNC_NEG";
case SOLLYA_BASE_FUNC_PI: return "SOLLYA_BASE_FUNC_PI";
case SOLLYA_BASE_FUNC_POW: return "SOLLYA_BASE_FUNC_POW";
case SOLLYA_BASE_FUNC_PROCEDUREFUNCTION: return "SOLLYA_BASE_FUNC_PROCEDUREFUNCTION";
case SOLLYA_BASE_FUNC_QUAD: return "SOLLYA_BASE_FUNC_QUAD";
case SOLLYA_BASE_FUNC_SIN: return "SOLLYA_BASE_FUNC_SIN";
case SOLLYA_BASE_FUNC_SINGLE: return "SOLLYA_BASE_FUNC_SINGLE";
case SOLLYA_BASE_FUNC_SINH: return "SOLLYA_BASE_FUNC_SINH";
case SOLLYA_BASE_FUNC_SQRT: return "SOLLYA_BASE_FUNC_SQRT";
case SOLLYA_BASE_FUNC_SUB: return "SOLLYA_BASE_FUNC_SUB";
case SOLLYA_BASE_FUNC_TAN: return "SOLLYA_BASE_FUNC_TAN";
case SOLLYA_BASE_FUNC_TANH: return "SOLLYA_BASE_FUNC_TANH";
case SOLLYA_BASE_FUNC_TRIPLEDOUBLE: return"SOLLYA_BASE_FUNC_TRIPLEDOUBLE";
default: return "Unknown type";
}
}
void euler_gamma(mpfr_t res, mp_prec_t prec) {
mpfr_set_prec(res, prec);
mpfr_const_euler(res, GMP_RNDN);
return;
}
int stupid1(mpfi_t result, mpfi_t x, int n) {
(void)x; /* Avoiding "unused parameter" warning */
(void)n; /* Avoiding "unused parameter" warning */
mpfi_set_ui(result, 0);
return 0;
}
/* Note: given as an example in the documentation.
We suppose that the library has already been initialized */
int is_made_of_constants(sollya_obj_t f) {
sollya_obj_t tmp1 = NULL;
sollya_obj_t tmp2 = NULL;
int n, r, res;
sollya_base_function_t type;
r = sollya_lib_decompose_function(f, &type, &n, &tmp1, &tmp2, NULL);
if (!r) { sollya_lib_printf("%b is not a mathematical function.", f); res = 0; }
else if (n >= 3) {
sollya_lib_printf("Unexpected error: %b has more than two arguments.\n", f);
res = 0;
}
else {
switch (type) {
case SOLLYA_BASE_FUNC_FREE_VARIABLE: res = 0; break;
case SOLLYA_BASE_FUNC_PI: res = 1; break;
case SOLLYA_BASE_FUNC_CONSTANT: res = 1; break;
case SOLLYA_BASE_FUNC_LIBRARYCONSTANT: res = 1; break;
default:
res = is_made_of_constants(tmp1);
if ((res) && (n==2)) res = is_made_of_constants(tmp2);
}
}
if (tmp1) sollya_lib_clear_obj(tmp1);
if (tmp2) sollya_lib_clear_obj(tmp2);
return res;
}
int main(void) {
sollya_obj_t f, tmp, tmp2, tmp3;
sollya_base_function_t type;
sollya_obj_t g[3];
int n;
int res;
sollya_lib_init();
/* Constant */
f = SOLLYA_PI;
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, &g[0], &g[1], &g[2], NULL);
if (res) sollya_lib_printf("%b: type = %s, n = %d, subfunctions = %b, %b and %b.\n", f, pretty_print(type), n, g[0], g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s, n=%d, g[0]=%b, g[1]=%b, g[2]=%b. Expecting -1, -1, NULL, NULL, NULL)\n", f, pretty_print(type), n, g[0], g[1], g[2]);
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* Another constant */
f = SOLLYA_CONST(3);
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, &g[0], &g[1], &g[2], NULL);
if (res) sollya_lib_printf("%b: type = %s, n = %d, subfunctions = %b, %b and %b.\n", f, pretty_print(type), n, g[0], g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s, n=%d, g[0]=%b, g[1]=%b, g[2]=%b. Expecting -1, -1, NULL, NULL, NULL)\n", f, pretty_print(type), n, g[0], g[1], g[2]);
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* A library constant constant */
f = sollya_lib_libraryconstant("superconst", euler_gamma);
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, &g[0], &g[1], &g[2], NULL);
if (res) sollya_lib_printf("%b: type = %s, n = %d, subfunctions = %b, %b and %b.\n", f, pretty_print(type), n, g[0], g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s, n=%d, g[0]=%b, g[1]=%b, g[2]=%b. Expecting -1, -1, NULL, NULL, NULL)\n", f, pretty_print(type), n, g[0], g[1], g[2]);
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* Free variable */
f = SOLLYA_X_;
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, &g[0], &g[1], &g[2], NULL);
if (res) sollya_lib_printf("%b: type = %s, n = %d, subfunctions = %b, %b and %b.\n", f, pretty_print(type), n, g[0], g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s, n=%d, g[0]=%b, g[1]=%b, g[2]=%b. Expecting -1, -1, NULL, NULL, NULL)\n", f, pretty_print(type), n, g[0], g[1], g[2]);
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* Elementary function */
f = SOLLYA_EXP(SOLLYA_ADD(SOLLYA_SIN(SOLLYA_X_), SOLLYA_CONST(17)));
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, &g[0], &g[1], &g[2], NULL);
if (res) sollya_lib_printf("%b: type = %s, n = %d, subfunctions = %b, %b and %b.\n", f, pretty_print(type), n, g[0], g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s, n=%d, g[0]=%b, g[1]=%b, g[2]=%b. Expecting -1, -1, NULL, NULL, NULL)\n", f, pretty_print(type), n, g[0], g[1], g[2]);
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* Procedure function */
tmp = sollya_lib_parse_string("proc(X,n,p) {var res, oldPrec; oldPrec = prec; prec = p!; res = exp(X); prec = oldPrec!; return res; };");
tmp = sollya_lib_build_function_procedurefunction(SOLLYA_X_, tmp);
tmp2 = sollya_lib_diff(tmp);
tmp3 = SOLLYA_SIN(SOLLYA_X_);
f = sollya_lib_apply(tmp2, tmp3, NULL);
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, &g[0], &g[1], &g[2], NULL);
if (res) sollya_lib_printf("%b: type = %s, n = %d, subfunctions = %b, %b and %b.\n", f, pretty_print(type), n, g[0], g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s, n=%d, g[0]=%b, g[1]=%b, g[2]=%b. Expecting -1, -1, NULL, NULL, NULL)\n", f, pretty_print(type), n, g[0], g[1], g[2]);
sollya_lib_clear_obj(tmp);
sollya_lib_clear_obj(tmp2);
sollya_lib_clear_obj(tmp3);
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* Library function */
f = sollya_lib_build_function_libraryfunction(SOLLYA_COS(SOLLYA_X_), "stupid1", stupid1);
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, &g[0], &g[1], &g[2], NULL);
if (res) sollya_lib_printf("%b: type = %s, n = %d, subfunctions = %b, %b and %b.\n", f, pretty_print(type), n, g[0], g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s, n=%d, g[0]=%b, g[1]=%b, g[2]=%b. Expecting -1, -1, NULL, NULL, NULL)\n", f, pretty_print(type), n, g[0], g[1], g[2]);
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* arithmetic operator */
f = SOLLYA_ADD(SOLLYA_X_,
sollya_lib_build_function_libraryfunction(SOLLYA_X_, "stupid1", stupid1));
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, &g[0], &g[1], &g[2], NULL);
if (res) sollya_lib_printf("%b: type = %s, n = %d, subfunctions = %b, %b and %b.\n", f, pretty_print(type), n, g[0], g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s, n=%d, g[0]=%b, g[1]=%b, g[2]=%b. Expecting -1, -1, NULL, NULL, NULL)\n", f, pretty_print(type), n, g[0], g[1], g[2]);
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* A Sollya object that is not an expression */
f = sollya_lib_absolute();
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, &g[0], &g[1], &g[2], NULL);
if (res) sollya_lib_printf("%b: type = %s, n = %d, subfunctions = %b, %b and %b.\n", f, pretty_print(type), n, g[0], g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s. Expecting 'Unknown type')\n", f, pretty_print(type));
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* Another one */
f = sollya_lib_parse_string("[1,2]");
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, &g[0], &g[1], &g[2], NULL);
if (res) sollya_lib_printf("%b: type = %s, n = %d, subfunctions = %b, %b and %b.\n", f, pretty_print(type), n, g[0], g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s. Expecting 'Unknown type')\n", f, pretty_print(type));
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/*************************************************************/
/* Testing what happens when NULL is encountered prematurely */
/*************************************************************/
/* As second argument */
f = SOLLYA_EXP(SOLLYA_ADD(SOLLYA_SIN(SOLLYA_X_), SOLLYA_CONST(17)));
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, NULL, &n, &g[1], &g[2]);
if (res) sollya_lib_printf("NULL given as 2nd argument. %b: type = %s, n = %d, subfunctions = %b and %b.\n", f, pretty_print(type), n, g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s. Expecting 'Unknown type')\n", f, pretty_print(type));
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* As third argument */
f = SOLLYA_EXP(SOLLYA_ADD(SOLLYA_SIN(SOLLYA_X_), SOLLYA_CONST(17)));
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, NULL, &g[1], &g[2]);
if (res) sollya_lib_printf("NULL given as 3rd argument. %b: type = %s, n = %d, subfunctions = %b and %b.\n", f, pretty_print(type), n, g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s. Expecting 'Unknown type')\n", f, pretty_print(type));
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* As fourth argument */
f = SOLLYA_EXP(SOLLYA_ADD(SOLLYA_SIN(SOLLYA_X_), SOLLYA_CONST(17)));
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, NULL, &g[1], &g[2]);
if (res) sollya_lib_printf("NULL given as 4th argument. %b: type = %s, n = %d, subfunctions = %b and %b.\n", f, pretty_print(type), n, g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s. Expecting 'Unknown type')\n", f, pretty_print(type));
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* As fourth argument in a binary operator */
f = SOLLYA_ADD(SOLLYA_SIN(SOLLYA_X_), SOLLYA_CONST(17));
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, NULL, &g[1], &g[2]);
if (res) sollya_lib_printf("NULL given as 4th argument. %b: type = %s, n = %d, subfunctions = %b and %b.\n", f, pretty_print(type), n, g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s. Expecting 'Unknown type')\n", f, pretty_print(type));
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* As fifth argument in a binary operator */
f = SOLLYA_ADD(SOLLYA_SIN(SOLLYA_X_), SOLLYA_CONST(17));
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, &g[0], NULL, &g[2]);
if (res) sollya_lib_printf("NULL given as 5th argument. %b: type = %s, n = %d, subfunctions = %b and %b.\n", f, pretty_print(type), n, g[0], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s. Expecting 'Unknown type')\n", f, pretty_print(type));
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* As fourth argument in a library function */
f = sollya_lib_build_function_libraryfunction(SOLLYA_COS(SOLLYA_X_), "stupid1", stupid1);
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, NULL, &g[1], &g[2]);
if (res) sollya_lib_printf("NULL given as 4th argument. %b: type = %s, n = %d, subfunctions = %b and %b.\n", f, pretty_print(type), n, g[1], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s. Expecting 'Unknown type')\n", f, pretty_print(type));
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/* As fifth argument in a library function */
f = sollya_lib_build_function_libraryfunction(SOLLYA_COS(SOLLYA_X_), "stupid1", stupid1);
type = (sollya_base_function_t) -1;
g[0] = NULL; g[1] = NULL; g[2] = NULL;
n = -1;
res = stupid_wrapper(f, &type, &n, &g[0], NULL, &g[2]);
if (res) sollya_lib_printf("NULL given as 5th argument. %b: type = %s, n = %d, subfunctions = %b and %b.\n", f, pretty_print(type), n, g[0], g[2]);
else sollya_lib_printf("%b is not a functional expression (type=%s. Expecting 'Unknown type')\n", f, pretty_print(type));
sollya_lib_clear_obj(f);
sollya_lib_clear_obj(g[0]);
sollya_lib_clear_obj(g[1]);
sollya_lib_clear_obj(g[2]);
/*******************************************************/
/* Testing the function presented in the documentation */
/*******************************************************/
f = sollya_lib_libraryconstant("superconst", euler_gamma);
f = SOLLYA_MUL(SOLLYA_ADD(SOLLYA_PI, SOLLYA_CONST(1)), f);
if (is_made_of_constants(f)) sollya_lib_printf("%b is made of constants.\n", f);
else sollya_lib_printf("%b is *NOT* made of constants.\n", f);
sollya_lib_clear_obj(f);
f = SOLLYA_X_;
if (is_made_of_constants(f)) sollya_lib_printf("%b is made of constants.\n", f);
else sollya_lib_printf("%b is *NOT* made of constants.\n", f);
sollya_lib_clear_obj(f);
f = SOLLYA_SIN(SOLLYA_ADD(SOLLYA_X_, SOLLYA_CONST(1)));
if (is_made_of_constants(f)) sollya_lib_printf("%b is made of constants.\n", f);
else sollya_lib_printf("%b is *NOT* made of constants.\n", f);
sollya_lib_clear_obj(f);
f = SOLLYA_SIN(SOLLYA_EXP(SOLLYA_CONST(1)));
if (is_made_of_constants(f)) sollya_lib_printf("%b is made of constants.\n", f);
else sollya_lib_printf("%b is *NOT* made of constants.\n", f);
sollya_lib_clear_obj(f);
f = sollya_lib_parse_string("[0,1]");
if (is_made_of_constants(f)) sollya_lib_printf("%b is made of constants.\n", f);
else sollya_lib_printf("%b is *NOT* made of constants.\n", f);
sollya_lib_clear_obj(f);
f = sollya_lib_relative();
if (is_made_of_constants(f)) sollya_lib_printf("%b is made of constants.\n", f);
else sollya_lib_printf("%b is *NOT* made of constants.\n", f);
sollya_lib_clear_obj(f);
sollya_lib_close();
return 0;
}
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