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/** @file pobyso.c
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* Integration of Sollya to C programs
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*
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* @author S.T.
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* @date 2011-10-12
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*
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* @todo write pobyso_is_monomial function <br>
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* write pobyso_is_free_var_int_poson_power function
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*/
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/******************************************************************************/
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/* Headers, applying the "particular to general" convention.*/
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#include "pobyso.h" |
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/* includes of local headers */
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/* includes of project headers */
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/* includes of system headers */
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#include <string.h> |
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#include <stdlib.h> |
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#include <stdio.h> |
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/* Other declarations */
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/* Internal prototypes */
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void
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pobyso_error_message(char *functionName, char *messageName, char* message); |
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/* Types, constants and macros definitions */
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/* Global variables */
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/* Functions */
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/* @see pobyso.h#pobyso_autoprint */
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void
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pobyso_autoprint(sollya_obj_t objSo) |
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{
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sollya_lib_autoprint(objSo, NULL);
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} /* End pobyso_autoprint. */
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/* @see pobyso.h#pobyso_dirty_find_zeros */
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mpfr_t* |
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pobyso_dirty_find_zeros_bounds(pobyso_func_exp_t funcExpSo, |
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mpfr_t lowerBound, |
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mpfr_t upperBound, |
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int* zerosCount)
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{
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pobyso_range_t rangeSo; |
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sollya_obj_t zerosListSo = NULL;
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sollya_obj_t* zerosArraySo = NULL;
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mpfr_t* zerosArrayMp = NULL;
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pobyso_precision_t prec; |
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|
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int endEll = 0; |
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int i,j;
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|
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/* Arguments check. */
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*zerosCount = -1;
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if (funcExpSo == NULL ) |
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{
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pobyso_error_message("pobyso_dirty_find_zeros",
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"NULL_POINTER_ARGUMENT",
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"The funcExpSo argument is a NULL pointer");
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return NULL; |
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} |
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if (mpfr_cmp(lowerBound, upperBound) > 0) |
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{
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pobyso_error_message("pobyso_dirty_find_zeros",
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"INVALID_INTERVAL_ARGUMENT",
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"The lower bound is larger than the upper bound");
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return NULL; |
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} |
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/* Make a range out of the bounds. */
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rangeSo = sollya_lib_range_from_bounds(lowerBound, upperBound); |
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if (rangeSo == NULL) |
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{
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return NULL; |
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} |
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zerosListSo = sollya_lib_dirtyfindzeros(funcExpSo, rangeSo); |
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if (zerosListSo == NULL) |
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{
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return NULL; |
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} |
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sollya_lib_clear_obj(rangeSo); |
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/* Transform the Sollya list into an MPFR list. */
|
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if (! sollya_lib_get_list_elements(&zerosArraySo,
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zerosCount, |
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&endEll, |
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zerosListSo)) |
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{
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sollya_lib_clear_obj(zerosListSo); |
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*zerosCount = -1;
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return NULL; |
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} |
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sollya_lib_clear_obj(zerosListSo); |
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zerosArrayMp = (mpfr_t*) malloc(*zerosCount * sizeof(mpfr_t));
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if (zerosArrayMp == NULL) |
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{
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pobyso_error_message("pobyso_dirty_find_zeros",
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"MEMORY_ALLOCATION_ERROR",
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"Could not allocate zeroes array");
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*zerosCount = -1;
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return NULL; |
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} |
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for (i = 0 ; i < *zerosCount ; i++) |
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{
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if (! sollya_lib_get_prec_of_constant(&prec, zerosArraySo[i]))
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{
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/* Clean up the already allocated MPFRs. */
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for (j = 0 ; j < i ; j++) mpfr_clear(zerosArrayMp[j]); |
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/* Clean up the zerosArrayMp array itself. */
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free(zerosArrayMp); |
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/* Clean up what is left in the zerosArraySo. */
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for (j = i ; j < *zerosCount ; j++) sollya_lib_clear_obj(zerosArraySo[j]);
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/* Clean up the zerosArraySo array itself. */
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sollya_lib_free(zerosArraySo); |
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*zerosCount = -1;
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return NULL; |
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} |
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mpfr_init2(zerosArrayMp[i], prec); |
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if (! sollya_lib_get_constant(zerosArrayMp[i], zerosArraySo[i]))
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{
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/* Clean up the already allocated MPFRs. */
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for (j = 0 ; j <= i ; j++) mpfr_clear(zerosArrayMp[j]); |
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/* Clean up the zerosArrayMp array itself. */
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free(zerosArrayMp); |
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/* Clean up what is left in the zerosArraySo. */
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for (j = i ; j < *zerosCount ; j++) sollya_lib_clear_obj(zerosArraySo[j]);
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/* Clean up the zerosArraySo array itself. */
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sollya_lib_free(zerosArraySo); |
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*zerosCount = -1;
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return NULL; |
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} |
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sollya_lib_clear_obj(zerosArraySo[i]); |
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} /* End for i. */
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sollya_lib_free(zerosArraySo); |
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return zerosArrayMp;
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} /* End pobyso_dirty_find_zeros. */
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|
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/* @see pobyso.h#pobyso_evaluate_constant */
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int
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pobyso_evaluate_constant(pobyso_func_exp_t functionSo, |
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mpfr_t argumentMp, |
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mpfr_t evaluationMp) |
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{
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sollya_obj_t argumentSo = NULL;
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sollya_obj_t evaluationSo = NULL;
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mpfr_t evaluationTmpMp1; |
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mpfr_t evaluationTmpMp2; |
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mpfr_prec_t evalPrec = 0;
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|
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/* Test argument. */
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if (functionSo == NULL || argumentMp == NULL || evaluationMp == NULL) |
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{
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pobyso_error_message("pobyso_evaluate_constant",
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"NULL_POINTER_ARGUMENT",
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"One of the arguments is a NULL pointer");
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return 1; |
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} |
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if (! sollya_lib_obj_is_function(functionSo))
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{
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pobyso_error_message("pobyso_evaluate_constant",
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"INVALID_TYPE_ARGUMENT",
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"The functionSo argument is not a functional expression");
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return 1; |
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} |
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/* Function evaluation and checks. */
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argumentSo = sollya_lib_constant(argumentMp); |
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evaluationSo = sollya_lib_evaluate(functionSo, argumentSo); |
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/* Not needed any more. */
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//pobyso_autoprint(evaluationSo);
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sollya_lib_clear_obj(argumentSo); |
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/* The range case: we return the mean of the bounds. The result
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* is not faithfully rounded. */
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if (sollya_lib_obj_is_range(evaluationSo))
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{
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//pobyso_autoprint(evaluationSo);
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if (sollya_lib_get_prec_of_range(&evalPrec, evaluationSo))
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{
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mpfr_init2(evaluationTmpMp1, evalPrec); |
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mpfr_init2(evaluationTmpMp2, evalPrec); |
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if (sollya_lib_get_bounds_from_range(evaluationTmpMp1,
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evaluationTmpMp2, |
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evaluationSo)) |
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{
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/* Compute the mean of the bounds. */
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mpfr_clear(evaluationMp); |
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mpfr_init2(evaluationMp, evalPrec); |
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mpfr_add(evaluationMp,evaluationTmpMp1,evaluationTmpMp2,MPFR_RNDN); |
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mpfr_div_2ui(evaluationMp, evaluationMp, 1, MPFR_RNDN);
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mpfr_clear(evaluationTmpMp1); |
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mpfr_clear(evaluationTmpMp2); |
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sollya_lib_clear_obj(evaluationSo); |
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/* It may happen, in this case, when the bounds are -Infty and
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* +Infty, that the average is NaN. */
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if (mpfr_nan_p(evaluationMp))
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{
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return POBYSO_NAN;
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} |
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else
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{
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return POBYSO_UNFAITHFUL;
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} |
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} |
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else /* Could not get the values of the bounds. */ |
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{
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sollya_lib_clear_obj(evaluationSo); |
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return 1; |
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} |
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} |
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else /* Could not get the precision of the range. */ |
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{
|
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sollya_lib_clear_obj(evaluationSo); |
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return 1; |
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} |
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} /* End the evaluation is a range. */
|
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/* From now on, we assume that the evaluation is constant. */
|
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if (sollya_lib_get_prec_of_constant(&evalPrec, evaluationSo))
|
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{
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mpfr_init2(evaluationTmpMp1, evalPrec); |
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if (sollya_lib_get_constant(evaluationTmpMp1, evaluationSo))
|
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{
|
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/* Deal with the NaN case. */
|
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if (mpfr_nan_p(evaluationTmpMp1))
|
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{
|
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mpfr_clear(evaluationTmpMp1); |
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sollya_lib_clear_obj(evaluationSo); |
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return POBYSO_NAN;
|
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} |
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else /* The evaluation is not NaN. */ |
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{
|
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mpfr_clear(evaluationMp); |
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mpfr_init2(evaluationMp, evalPrec); |
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mpfr_set(evaluationMp, evaluationTmpMp1, MPFR_RNDN); |
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mpfr_clear(evaluationTmpMp1); |
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sollya_lib_clear_obj(evaluationSo); |
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return 0; |
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} |
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} |
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else /* Could not recover the value of the evaluation. */ |
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{
|
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mpfr_clear(evaluationTmpMp1); |
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sollya_lib_clear_obj(evaluationSo); |
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return 1; |
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} |
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} |
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else /* Could not get the precision of the evaluation. */ |
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{
|
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sollya_lib_clear_obj(evaluationSo); |
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return 0; |
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} |
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} |
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/* End pobyso_evaluate_constant. */
|
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|
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/* @see pobyso.h#pobyso_get_verbosity */
|
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int
|
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pobyso_get_verbosity() |
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{
|
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sollya_obj_t verbositySo = NULL;
|
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int verbosity = 0; |
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|
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verbositySo = sollya_lib_get_verbosity(); |
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sollya_lib_get_constant_as_int(&verbosity,verbositySo); |
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sollya_lib_clear_obj(verbositySo); |
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return verbosity;
|
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} /* End pobyso_get_verbosity. */
|
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|
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/** @see pobyso.h#pobyso_is_constant_expression
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* Strategy: rely on sollya_lib_get_constant. It return 1, when the
|
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* expression is constant.
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*/
|
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int
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pobyso_is_constant_expression(sollya_obj_t obj_to_test) |
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{
|
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mpfr_t dummy; |
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int test;
|
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int initial_verbosity_level = 0; |
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|
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/* Test argument. */
|
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if (obj_to_test == NULL) |
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{
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pobyso_error_message("pobyso_is_constant_expression",
|
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"NULL_POINTER_ARGUMENT",
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"The expression is a NULL pointer");
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return 0; |
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} |
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initial_verbosity_level = pobyso_set_verbosity_off(); |
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/* In Sollya, constant are functional expressions. */
|
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if (! sollya_lib_obj_is_function(obj_to_test))
|
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{
|
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pobyso_set_verbosity_to(initial_verbosity_level); |
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return 0; |
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} |
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mpfr_init2(dummy,64);
|
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/* Call to previous Sollya function resets verbosity. */
|
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/* Todo: change verbosity suppression strategy with a message call back. */
|
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pobyso_set_verbosity_off(); |
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/* Try to convert the would be constant into an MPFR number. */
|
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/* If OK, we indeed have a constant. If the conversion fails, return 0. */
|
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test = sollya_lib_get_constant(dummy, obj_to_test); |
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pobyso_set_verbosity_to(initial_verbosity_level); |
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if (test)
|
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{
|
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if(mpfr_number_p(dummy) || mpfr_inf_p(dummy))
|
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{
|
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mpfr_clear(dummy); |
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return test;
|
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} |
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else /* We do not consider NaNs as constants. */ |
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{
|
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mpfr_clear(dummy); |
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return 0; |
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} |
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} |
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else
|
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{
|
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mpfr_clear(dummy); |
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return 0; |
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} |
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} /* End pobyso_is_constant_expression. */
|
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|
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/** @see pobyso.h#pobyso_is_monomial. */
|
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int
|
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pobyso_is_int(pobyso_func_exp_t exprSo) |
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{
|
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mpfr_t float1M; |
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mpfr_t float2M; |
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mpfr_t tempFloat1M; |
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mpfr_t tempFloat2M; |
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mpfr_prec_t prec; |
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int64_t asInt; |
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sollya_obj_t newConstantSo = NULL;
|
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/* Arguments check. */
|
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if (exprSo == NULL) |
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{
|
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pobyso_error_message("pobyso_is_free_var_posze_int_power",
|
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"NULL_POINTER_ARGUMENT",
|
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"The expression is a NULL pointer");
|
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return 0; |
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} |
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//fprintf(stdout, "Not NULL.\n"); pobyso_autoprint(exprSo);
|
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if (! pobyso_is_constant_expression(exprSo)) return 0; |
| 344 |
if (! sollya_lib_get_constant_as_int64(&asInt, exprSo)) return 0; |
| 345 |
if (asInt == INT64_MIN || asInt == INT64_MAX) return 0; |
| 346 |
/* Some constant integer expression can't have their precision computed
|
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* (e.g. cos(pi). */
|
| 348 |
if (! sollya_lib_get_prec_of_constant(&prec, exprSo))
|
| 349 |
{
|
| 350 |
mpfr_init2(tempFloat1M, 165);
|
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mpfr_init2(tempFloat2M, 165);
|
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mpfr_abs(tempFloat1M, tempFloat1M, MPFR_RNDN); |
| 353 |
mpfr_log2(tempFloat2M, tempFloat1M, MPFR_RNDU); |
| 354 |
mpfr_rint_ceil(tempFloat1M, tempFloat2M, MPFR_RNDU); |
| 355 |
prec = mpfr_get_si(tempFloat1M, MPFR_RNDN) + 10;
|
| 356 |
if (prec < 1024) prec = 1024; |
| 357 |
mpfr_clear(tempFloat1M); |
| 358 |
mpfr_clear(tempFloat2M); |
| 359 |
mpfr_init2(float1M, prec); |
| 360 |
if (!sollya_lib_get_constant(float1M, exprSo))
|
| 361 |
{
|
| 362 |
mpfr_clear(float1M); |
| 363 |
return 0; |
| 364 |
} |
| 365 |
} |
| 366 |
else /* Precision could be given. */ |
| 367 |
{
|
| 368 |
mpfr_init2(float1M, prec); |
| 369 |
if (! sollya_lib_get_constant(float1M, exprSo))
|
| 370 |
{
|
| 371 |
mpfr_clear(float1M); |
| 372 |
return 0; |
| 373 |
} |
| 374 |
} |
| 375 |
if (mpfr_nan_p(float1M) || mpfr_inf_p(float1M))
|
| 376 |
{
|
| 377 |
mpfr_clear(float1M); |
| 378 |
return 0; |
| 379 |
} |
| 380 |
if ((newConstantSo = sollya_lib_constant_from_int64(asInt)) == NULL) |
| 381 |
{
|
| 382 |
mpfr_clear(float1M); |
| 383 |
return 0; |
| 384 |
} |
| 385 |
sollya_lib_get_prec_of_constant(&prec, newConstantSo); |
| 386 |
mpfr_init2(float2M, prec); |
| 387 |
sollya_lib_get_constant(float2M, newConstantSo); |
| 388 |
if (mpfr_cmp(float1M, float2M) == 0) |
| 389 |
{
|
| 390 |
mpfr_clear(float1M); |
| 391 |
mpfr_clear(float2M); |
| 392 |
sollya_lib_clear_obj(newConstantSo); |
| 393 |
return 1; |
| 394 |
} |
| 395 |
else
|
| 396 |
{
|
| 397 |
mpfr_clear(float1M); |
| 398 |
mpfr_clear(float2M); |
| 399 |
sollya_lib_clear_obj(newConstantSo); |
| 400 |
return 0; |
| 401 |
} |
| 402 |
} /* End pobyso_is_int. */
|
| 403 |
|
| 404 |
/** @see pobyso.h#pobyso_is_monomial.
|
| 405 |
* Strategy: check that the object is a functional expression and
|
| 406 |
* if so check that it is made of cte * free_var ^ some_power where :
|
| 407 |
* - cte is a constant expression (a per pobyso_is_constant_experession;
|
| 408 |
* - some_power is a positive or null power. t*/
|
| 409 |
int
|
| 410 |
pobyso_is_monomial(sollya_obj_t objSo) |
| 411 |
{
|
| 412 |
int arity;
|
| 413 |
sollya_obj_t subFun1So = NULL;
|
| 414 |
sollya_obj_t subFun2So = NULL;
|
| 415 |
sollya_obj_t subFun3So = NULL;
|
| 416 |
sollya_base_function_t head = 0;
|
| 417 |
long int exponent = 0; |
| 418 |
long int exprIntValue = 0; |
| 419 |
|
| 420 |
/* Arguments check. */
|
| 421 |
if (objSo == NULL) |
| 422 |
{
|
| 423 |
pobyso_error_message("pobyso_is_monomial",
|
| 424 |
"NULL_POINTER_ARGUMENT",
|
| 425 |
"The expression is a NULL pointer");
|
| 426 |
return 0; |
| 427 |
} |
| 428 |
/* The object must be a function. */
|
| 429 |
if (! sollya_lib_obj_is_function(objSo)) return 0; |
| 430 |
/* Check if it is the 1 constant. */
|
| 431 |
if (pobyso_is_int(objSo))
|
| 432 |
{
|
| 433 |
if (! sollya_lib_get_constant_as_int64(&exprIntValue, objSo))
|
| 434 |
{
|
| 435 |
return 0; |
| 436 |
} |
| 437 |
else
|
| 438 |
{
|
| 439 |
if (exprIntValue == 1) return 1; |
| 440 |
else return 0; |
| 441 |
} |
| 442 |
} |
| 443 |
if (! sollya_lib_decompose_function(objSo,
|
| 444 |
&head, |
| 445 |
&arity, |
| 446 |
&subFun1So, |
| 447 |
&subFun2So, |
| 448 |
NULL)) return 0; |
| 449 |
if (arity > 2) |
| 450 |
{
|
| 451 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 452 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 453 |
return 0; |
| 454 |
} |
| 455 |
/* Arity == 1 must be free variable by itself. */
|
| 456 |
if (arity == 1 && head == SOLLYA_BASE_FUNC_FREE_VARIABLE) |
| 457 |
{
|
| 458 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 459 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 460 |
return 1; |
| 461 |
} |
| 462 |
else
|
| 463 |
{
|
| 464 |
/* Another expression. Must be: free variable ^ poze integer. */
|
| 465 |
if (arity == 2) |
| 466 |
{
|
| 467 |
if (head != SOLLYA_BASE_FUNC_POW)
|
| 468 |
{
|
| 469 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 470 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 471 |
return 0; |
| 472 |
} |
| 473 |
if (! pobyso_is_int(subFun2So))
|
| 474 |
{
|
| 475 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 476 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 477 |
return 0; |
| 478 |
} |
| 479 |
if (! sollya_lib_get_constant_as_int64(&exponent, subFun2So))
|
| 480 |
{
|
| 481 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 482 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 483 |
return 0; |
| 484 |
} |
| 485 |
if (exponent < 0) |
| 486 |
{
|
| 487 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 488 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 489 |
return 0; |
| 490 |
} |
| 491 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 492 |
/* Check that the first subfunction is the free variable. */
|
| 493 |
if (! sollya_lib_decompose_function(subFun1So,
|
| 494 |
&head, |
| 495 |
&arity, |
| 496 |
&subFun2So, |
| 497 |
&subFun3So, |
| 498 |
NULL))
|
| 499 |
{
|
| 500 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 501 |
return 0; |
| 502 |
} |
| 503 |
if (arity == 1 && head == SOLLYA_BASE_FUNC_FREE_VARIABLE) |
| 504 |
{
|
| 505 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 506 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 507 |
if (subFun3So != NULL) sollya_lib_clear_obj(subFun3So); |
| 508 |
return 1; |
| 509 |
} |
| 510 |
else
|
| 511 |
{
|
| 512 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 513 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 514 |
return 0; |
| 515 |
} |
| 516 |
} /* End if arity == 2. */
|
| 517 |
} /* End else if arity == 1. */
|
| 518 |
return 0; |
| 519 |
} /* End pobyso_is_monomial. */
|
| 520 |
|
| 521 |
/** @see pobyso.h#pobyso_is_polynomial_term.
|
| 522 |
* Strategy: check that the object is a functional expression and
|
| 523 |
* if so check that it is made of cte * monomial.
|
| 524 |
*/
|
| 525 |
int
|
| 526 |
pobyso_is_polynomial_term(sollya_obj_t objSo) |
| 527 |
{
|
| 528 |
int arity;
|
| 529 |
sollya_obj_t subFun1So = NULL;
|
| 530 |
sollya_obj_t subFun2So = NULL;
|
| 531 |
sollya_base_function_t head = 0;
|
| 532 |
|
| 533 |
/* Arguments check. */
|
| 534 |
if (objSo == NULL) |
| 535 |
{
|
| 536 |
pobyso_error_message("pobyso_is_polynomial_term",
|
| 537 |
"NULL_POINTER_ARGUMENT",
|
| 538 |
"The expression is a NULL pointer");
|
| 539 |
return 0; |
| 540 |
} |
| 541 |
/* The object must be a function. */
|
| 542 |
if (! sollya_lib_obj_is_function(objSo)) return 0; |
| 543 |
/* A constant expression is degree 0 polynomial term. */
|
| 544 |
if (pobyso_is_constant_expression(objSo)) return 1; |
| 545 |
/* A monomial is a polynomial term. */
|
| 546 |
if (pobyso_is_monomial(objSo)) return 1; |
| 547 |
/* Decompose the functional expression and study the elements. */
|
| 548 |
if (! sollya_lib_decompose_function(objSo,
|
| 549 |
&head, |
| 550 |
&arity, |
| 551 |
&subFun1So, |
| 552 |
&subFun2So, |
| 553 |
NULL)) return 0; |
| 554 |
/* Monomial case has been dealt with abobe. */
|
| 555 |
if (arity != 2) |
| 556 |
{
|
| 557 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 558 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 559 |
return 0; |
| 560 |
} |
| 561 |
/* The expression must be: cte * monomial or monomial * cte. */
|
| 562 |
if (head != SOLLYA_BASE_FUNC_MUL)
|
| 563 |
{
|
| 564 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 565 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 566 |
return 0; |
| 567 |
} |
| 568 |
if (! pobyso_is_monomial(subFun2So))
|
| 569 |
{
|
| 570 |
if (! pobyso_is_constant_expression(subFun2So) ||
|
| 571 |
! pobyso_is_monomial(subFun1So)) |
| 572 |
{
|
| 573 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 574 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 575 |
return 0; |
| 576 |
} |
| 577 |
} |
| 578 |
else
|
| 579 |
{
|
| 580 |
if (! pobyso_is_constant_expression(subFun1So))
|
| 581 |
{
|
| 582 |
if (subFun1So != NULL) sollya_lib_clear_obj(subFun1So); |
| 583 |
if (subFun2So != NULL) sollya_lib_clear_obj(subFun2So); |
| 584 |
return 0; |
| 585 |
} |
| 586 |
} |
| 587 |
return 1; |
| 588 |
} /* End pobyso_is_polynomial_term. */
|
| 589 |
/** @see pobyso.h#pobyso_new_monomial. */
|
| 590 |
pobyso_func_exp_t |
| 591 |
pobyso_new_monomial(pobyso_func_exp_t coefficientSo, long degree)
|
| 592 |
{
|
| 593 |
sollya_obj_t degreeSo = NULL;
|
| 594 |
sollya_obj_t varToPowSo = NULL;
|
| 595 |
sollya_obj_t monomialSo = NULL;
|
| 596 |
int initial_verbosity_level = 0; |
| 597 |
|
| 598 |
/* Arguments check. */
|
| 599 |
if (coefficientSo == NULL) |
| 600 |
{
|
| 601 |
pobyso_error_message("pobyso_parse_string",
|
| 602 |
"NULL_POINTER_ARGUMENT",
|
| 603 |
"The expression is a NULL pointer");
|
| 604 |
return NULL; |
| 605 |
} |
| 606 |
if (! pobyso_is_constant_expression(coefficientSo))
|
| 607 |
{
|
| 608 |
return NULL; |
| 609 |
} |
| 610 |
if (degree < 0) |
| 611 |
{
|
| 612 |
pobyso_error_message("pobyso_new_monomial",
|
| 613 |
"NEGATIVE_DEGREE_ARGUMENT",
|
| 614 |
"The degree is a negative integer");
|
| 615 |
return NULL; |
| 616 |
} |
| 617 |
/* If degree == 0, just return a copy of the coefficient. Do not
|
| 618 |
* return the coefficient itself to avoid "double clear" issues. */
|
| 619 |
if (degree == 0) |
| 620 |
{
|
| 621 |
initial_verbosity_level = pobyso_set_verbosity_off(); |
| 622 |
monomialSo = sollya_lib_copy_obj(coefficientSo); |
| 623 |
pobyso_set_verbosity_to(initial_verbosity_level); |
| 624 |
} |
| 625 |
degreeSo = sollya_lib_constant_from_int64(degree); |
| 626 |
varToPowSo = sollya_lib_build_function_pow(sollya_lib_free_variable(), |
| 627 |
degreeSo); |
| 628 |
/* Do not use the "build" version to avoid "eating up" the coefficient. */
|
| 629 |
monomialSo = sollya_lib_mul(coefficientSo,varToPowSo); |
| 630 |
sollya_lib_clear_obj(varToPowSo); |
| 631 |
/* Do not clear degreeSa: it was "eaten" by sollya-lib_build_function. */
|
| 632 |
return monomialSo;
|
| 633 |
} /* End pobyso_new_monomial. */
|
| 634 |
|
| 635 |
/* @see pobyso.h#pobyso_off */
|
| 636 |
pobyso_on_off_t |
| 637 |
pobyso_off() |
| 638 |
{
|
| 639 |
return sollya_lib_off();
|
| 640 |
} /* End pobyso_off. */
|
| 641 |
|
| 642 |
/* @see pobyso.h#pobyso_off */
|
| 643 |
pobyso_on_off_t |
| 644 |
pobyso_on() |
| 645 |
{
|
| 646 |
return sollya_lib_on();
|
| 647 |
} /* End pobyso_on. */
|
| 648 |
|
| 649 |
|
| 650 |
/* @see pobyso.h#pobyso_parse_string */
|
| 651 |
pobyso_func_exp_t |
| 652 |
pobyso_parse_string(const char* expression) |
| 653 |
{
|
| 654 |
int expressionLength, i;
|
| 655 |
char *expressionWithSemiCo;
|
| 656 |
sollya_obj_t expressionSo; |
| 657 |
|
| 658 |
/* Arguments check. */
|
| 659 |
if (expression == NULL) |
| 660 |
{
|
| 661 |
pobyso_error_message("pobyso_parse_string",
|
| 662 |
"NULL_POINTER_ARGUMENT",
|
| 663 |
"The expression is a NULL pointer");
|
| 664 |
return NULL; |
| 665 |
} |
| 666 |
expressionLength = strlen(expression); |
| 667 |
if (expressionLength == 0) |
| 668 |
{
|
| 669 |
pobyso_error_message("pobyso_parse_string",
|
| 670 |
"EMPTY_STRING_ARGUMENT",
|
| 671 |
"The expression is an empty string");
|
| 672 |
return NULL; |
| 673 |
} |
| 674 |
/* Search from the last char of the expression until, whichever happens
|
| 675 |
* first:
|
| 676 |
* a ";" is found;
|
| 677 |
* a char != ';' is found the the ";" is appended.
|
| 678 |
* If the head of the string is reached before any of these two events happens
|
| 679 |
* return an error.
|
| 680 |
*/
|
| 681 |
for (i = expressionLength - 1 ; i >= 0 ; i--) |
| 682 |
{
|
| 683 |
if (expression[i] == ';') /* Nothing special to do: |
| 684 |
try to parse the string*/
|
| 685 |
{
|
| 686 |
expressionSo = sollya_lib_parse_string(expression); |
| 687 |
if (sollya_lib_obj_is_error(expressionSo))
|
| 688 |
{
|
| 689 |
sollya_lib_clear_obj(expressionSo); |
| 690 |
return NULL; |
| 691 |
} |
| 692 |
else
|
| 693 |
{
|
| 694 |
return expressionSo;
|
| 695 |
} |
| 696 |
} |
| 697 |
else
|
| 698 |
{
|
| 699 |
if (expression[i] == ' ' || expression[i] == '\t') /* A blank, |
| 700 |
just continue. */
|
| 701 |
{
|
| 702 |
continue;
|
| 703 |
} |
| 704 |
else /* a character != ';' and from a blank: create the ';'ed string. */ |
| 705 |
{
|
| 706 |
/* Create a new string for the expression, add the ";" and
|
| 707 |
* and call sollya_lib_parse_string. */
|
| 708 |
expressionWithSemiCo = calloc(i + 3, sizeof(char)); |
| 709 |
if (expressionWithSemiCo == NULL) |
| 710 |
{
|
| 711 |
pobyso_error_message("pobyso_parse_string",
|
| 712 |
"MEMORY_ALLOCATION_ERROR",
|
| 713 |
"Could not allocate the expression string");
|
| 714 |
return NULL; |
| 715 |
} |
| 716 |
strncpy(expressionWithSemiCo, expression, i+1);
|
| 717 |
expressionWithSemiCo[i + 1] = ';'; |
| 718 |
expressionWithSemiCo[i + 2] = '\0'; |
| 719 |
expressionSo = sollya_lib_parse_string(expressionWithSemiCo); |
| 720 |
free(expressionWithSemiCo); |
| 721 |
if (sollya_lib_obj_is_error(expressionSo))
|
| 722 |
{
|
| 723 |
sollya_lib_clear_obj(expressionSo); |
| 724 |
return NULL; |
| 725 |
} |
| 726 |
else
|
| 727 |
{
|
| 728 |
return expressionSo;
|
| 729 |
} |
| 730 |
} /* End character != ';' and from a blank. */
|
| 731 |
/* Create a new string for the expression, add the ";" and
|
| 732 |
* and call sollya_lib_parse_string. */
|
| 733 |
} /* End else. */
|
| 734 |
} /* End for. */
|
| 735 |
/* We get here, it is because we did not find any char == anything different
|
| 736 |
* from ' ' or '\t': the string is empty.
|
| 737 |
*/
|
| 738 |
pobyso_error_message("pobyso_parse_string",
|
| 739 |
"ONLY_BLANK_ARGUMENT",
|
| 740 |
"The expression is only made of blanks");
|
| 741 |
return NULL; |
| 742 |
} /* pobyso_parse_string */
|
| 743 |
|
| 744 |
/** @see pobyso.h#pobyso_range_from_bounds */
|
| 745 |
pobyso_range_t |
| 746 |
pobyso_range_from_bounds(mpfr_t lowerBound, mpfr_t upperBound) |
| 747 |
{
|
| 748 |
/* Supferficial check of arguments. */
|
| 749 |
if (mpfr_cmp(lowerBound, upperBound) > 0) |
| 750 |
{
|
| 751 |
return(NULL); |
| 752 |
} |
| 753 |
return(sollya_lib_range_from_bounds(lowerBound, upperBound));
|
| 754 |
} |
| 755 |
|
| 756 |
pobyso_func_exp_t |
| 757 |
pobyso_remez_canonical_monomials_base(pobyso_func_exp_t function, |
| 758 |
long int degree, |
| 759 |
pobyso_range_t interval, |
| 760 |
pobyso_func_exp_t weight, |
| 761 |
double quality,
|
| 762 |
pobyso_range_t bounds) |
| 763 |
{
|
| 764 |
sollya_obj_t degreeSo = NULL;
|
| 765 |
sollya_obj_t qualitySo = NULL;
|
| 766 |
|
| 767 |
degreeSo = sollya_lib_constant_from_int(degree); |
| 768 |
qualitySo = sollya_lib_constant_from_double(quality); |
| 769 |
|
| 770 |
sollya_lib_clear_obj(degreeSo); |
| 771 |
sollya_lib_clear_obj(qualitySo); |
| 772 |
return NULL; |
| 773 |
} /* End pobyso_remez_canonical_monomials_base. */
|
| 774 |
|
| 775 |
int
|
| 776 |
pobyso_set_canonical_on() |
| 777 |
{
|
| 778 |
pobyso_on_off_t currentCanonicalModeSo; |
| 779 |
pobyso_on_off_t on; |
| 780 |
|
| 781 |
currentCanonicalModeSo = sollya_lib_get_canonical(); |
| 782 |
if (sollya_lib_is_on(currentCanonicalModeSo))
|
| 783 |
{
|
| 784 |
sollya_lib_clear_obj(currentCanonicalModeSo); |
| 785 |
return POBYSO_ON;
|
| 786 |
} |
| 787 |
else
|
| 788 |
{
|
| 789 |
on = sollya_lib_on(); |
| 790 |
sollya_lib_set_canonical(on); |
| 791 |
sollya_lib_clear_obj(on); |
| 792 |
sollya_lib_clear_obj(currentCanonicalModeSo); |
| 793 |
return POBYSO_OFF;
|
| 794 |
} |
| 795 |
} /* End pobyso_set_canonical_on. */
|
| 796 |
|
| 797 |
int
|
| 798 |
pobyso_set_verbosity_off() |
| 799 |
{
|
| 800 |
sollya_obj_t verbosityLevelZeroSo; |
| 801 |
sollya_obj_t currentVerbosityLevelSo = NULL;
|
| 802 |
int currentVerbosityLevel = 0; |
| 803 |
|
| 804 |
currentVerbosityLevelSo = sollya_lib_get_verbosity(); |
| 805 |
sollya_lib_get_constant_as_int(¤tVerbosityLevel, |
| 806 |
currentVerbosityLevelSo); |
| 807 |
verbosityLevelZeroSo = sollya_lib_constant_from_int(0);
|
| 808 |
sollya_lib_set_verbosity(verbosityLevelZeroSo); |
| 809 |
sollya_lib_clear_obj(verbosityLevelZeroSo); |
| 810 |
sollya_lib_clear_obj(currentVerbosityLevelSo); |
| 811 |
return currentVerbosityLevel;
|
| 812 |
} /* End of pobyso_set_verbosity_off. */
|
| 813 |
|
| 814 |
int
|
| 815 |
pobyso_set_verbosity_to(int newVerbosityLevel)
|
| 816 |
{
|
| 817 |
int initialVerbosityLevel = 0; |
| 818 |
sollya_obj_t initialVerbosityLevelSo = NULL;
|
| 819 |
sollya_obj_t newVerbosityLevelSo = NULL;
|
| 820 |
|
| 821 |
initialVerbosityLevelSo = sollya_lib_get_verbosity(); |
| 822 |
sollya_lib_get_constant_as_int(&initialVerbosityLevel, |
| 823 |
initialVerbosityLevelSo); |
| 824 |
sollya_lib_clear_obj(initialVerbosityLevelSo); |
| 825 |
if (newVerbosityLevel < 0) |
| 826 |
{
|
| 827 |
pobyso_error_message("pobyso_set_verbosity_to",
|
| 828 |
"INVALID_VALUE",
|
| 829 |
"The new verbosity level is a negative number");
|
| 830 |
return initialVerbosityLevel;
|
| 831 |
} |
| 832 |
newVerbosityLevelSo = sollya_lib_constant_from_int(newVerbosityLevel); |
| 833 |
sollya_lib_set_verbosity(newVerbosityLevelSo); |
| 834 |
sollya_lib_clear_obj(newVerbosityLevelSo); |
| 835 |
return initialVerbosityLevel;
|
| 836 |
} /* End of pobyso_set_verbosity_to. */
|
| 837 |
|
| 838 |
/**
|
| 839 |
* @see pobyso.h#pobyso_subpoly
|
| 840 |
*/
|
| 841 |
pobyso_func_exp_t |
| 842 |
pobyso_subpoly(pobyso_func_exp_t polynomialSo, long expsNum, long int* expsList) |
| 843 |
{
|
| 844 |
sollya_obj_t expsListSo = NULL;
|
| 845 |
sollya_obj_t* expsList_pso = NULL;
|
| 846 |
sollya_obj_t subpoly = NULL;
|
| 847 |
int i, j;
|
| 848 |
|
| 849 |
/* Arguments check. */
|
| 850 |
if (polynomialSo == NULL) return NULL; |
| 851 |
if (expsNum < 0) return NULL; |
| 852 |
if (expsNum == 0) return sollya_lib_copy_obj(polynomialSo); |
| 853 |
if (expsList == 0) return NULL; |
| 854 |
/* Create a list of Sollya constants. */
|
| 855 |
expsList_pso = (sollya_obj_t*) malloc(expsNum * sizeof(sollya_obj_t));
|
| 856 |
if (expsList_pso == NULL) |
| 857 |
{
|
| 858 |
pobyso_error_message("pobyso_subpoly",
|
| 859 |
"MEMORY_ALLOCATION_ERROR",
|
| 860 |
"Could not allocate the Sollya exponents list");
|
| 861 |
return NULL; |
| 862 |
} |
| 863 |
/* Fill up the list. */
|
| 864 |
for (i = 0 ; i < expsNum ; i++) |
| 865 |
{
|
| 866 |
/* Abort if an exponent is negative. */
|
| 867 |
if (expsList[i] < 0 ) |
| 868 |
{
|
| 869 |
for (j = 0 ; j < i ; j++) |
| 870 |
{
|
| 871 |
sollya_lib_clear_obj(expsList_pso[j]); |
| 872 |
} |
| 873 |
free(expsList_pso); |
| 874 |
return NULL; |
| 875 |
} |
| 876 |
expsList_pso[i] = sollya_lib_constant_from_int64(expsList[i]); |
| 877 |
} /* End for */
|
| 878 |
expsListSo = sollya_lib_list(expsList_pso, expsNum); |
| 879 |
for (i = 0 ; i < expsNum ; i++) |
| 880 |
{
|
| 881 |
sollya_lib_clear_obj(expsList_pso[i]); |
| 882 |
} |
| 883 |
free(expsList_pso); |
| 884 |
if (expsListSo == NULL) |
| 885 |
{
|
| 886 |
pobyso_error_message("pobyso_subpoly",
|
| 887 |
"LIST_CREATIONERROR",
|
| 888 |
"Could not create the exponents list");
|
| 889 |
return NULL; |
| 890 |
} |
| 891 |
subpoly = sollya_lib_subpoly(polynomialSo, expsListSo); |
| 892 |
pobyso_autoprint(expsListSo); |
| 893 |
sollya_lib_clear_obj(expsListSo); |
| 894 |
return subpoly;
|
| 895 |
} /* pobyso_subpoly. */
|
| 896 |
|
| 897 |
/* Attic from the sollya_lib < 4. */
|
| 898 |
#if 0
|
| 899 |
chain*
|
| 900 |
pobyso_create_canonical_monomials_base(const unsigned int degree)
|
| 901 |
{
|
| 902 |
int i = 0;
|
| 903 |
chain *monomials = NULL;
|
| 904 |
node *monomial = NULL;
|
| 905 |
|
| 906 |
for(i = degree ; i >= 0 ; i--)
|
| 907 |
{
|
| 908 |
monomial = makePow(makeVariable(), makeConstantDouble((double)i));
|
| 909 |
monomials = addElement(monomials, monomial);
|
| 910 |
fprintf(stderr, "pobyso_create_canonical_monomials_base: %u\n", i);
|
| 911 |
}
|
| 912 |
if (monomials == NULL)
|
| 913 |
{
|
| 914 |
pobyso_error_message("pobyso_create_canonical_monomial_base",
|
| 915 |
"CHAIN_CREATION_ERROR",
|
| 916 |
"Could not create the monomials chain");
|
| 917 |
return(NULL);
|
| 918 |
}
|
| 919 |
return(monomials);
|
| 920 |
} /* End pobyso_create_canonical_monomials_base. */
|
| 921 |
|
| 922 |
chain*
|
| 923 |
pobyso_create_chain_from_int_array(int* intArray,
|
| 924 |
const unsigned int arrayLength)
|
| 925 |
{
|
| 926 |
int i = 0;
|
| 927 |
chain *newChain = NULL;
|
| 928 |
int *currentInt;
|
| 929 |
|
| 930 |
if (arrayLength == 0) return(NULL);
|
| 931 |
if (intArray == NULL)
|
| 932 |
{
|
| 933 |
pobyso_error_message("pobyso_create_chain_from_int_array",
|
| 934 |
"NULL_POINTER_ARGUMENT",
|
| 935 |
"The array is a NULL pointer");
|
| 936 |
return(NULL);
|
| 937 |
}
|
| 938 |
for (i = arrayLength - 1 ; i >= 0 ; i--)
|
| 939 |
{
|
| 940 |
currentInt = malloc(sizeof(int));
|
| 941 |
if (currentInt == NULL)
|
| 942 |
{
|
| 943 |
pobyso_error_message("pobyso_create_chain_from_int_array",
|
| 944 |
"MEMORY_ALLOCATION_ERROR",
|
| 945 |
"Could not allocate one of the integers");
|
| 946 |
freeChain(newChain, free);
|
| 947 |
return(NULL);
|
| 948 |
}
|
| 949 |
*currentInt = intArray[i];
|
| 950 |
newChain = addElement(newChain, currentInt);
|
| 951 |
}
|
| 952 |
return(newChain);
|
| 953 |
} // End pobyso_create_chain_from_int_array. */
|
| 954 |
|
| 955 |
chain*
|
| 956 |
pobyso_create_chain_from_unsigned_int_array(unsigned int* intArray,
|
| 957 |
const unsigned int arrayLength)
|
| 958 |
{
|
| 959 |
int i = 0;
|
| 960 |
chain *newChain = NULL;
|
| 961 |
unsigned int *currentInt;
|
| 962 |
|
| 963 |
/* Argument checking. */
|
| 964 |
if (arrayLength == 0) return(NULL);
|
| 965 |
if (intArray == NULL)
|
| 966 |
{
|
| 967 |
pobyso_error_message("pobyso_create_chain_from_unsigned_int_array",
|
| 968 |
"NULL_POINTER_ARGUMENT",
|
| 969 |
"The array is a NULL pointer");
|
| 970 |
return(NULL);
|
| 971 |
}
|
| 972 |
for (i = arrayLength - 1 ; i >= 0 ; i--)
|
| 973 |
{
|
| 974 |
currentInt = malloc(sizeof(unsigned int));
|
| 975 |
if (currentInt == NULL)
|
| 976 |
{
|
| 977 |
pobyso_error_message("pobyso_create_chain_from_unsigned_int_array",
|
| 978 |
"MEMORY_ALLOCATION_ERROR",
|
| 979 |
"Could not allocate one of the integers");
|
| 980 |
freeChain(newChain, free);
|
| 981 |
return(NULL);
|
| 982 |
}
|
| 983 |
*currentInt = intArray[i];
|
| 984 |
newChain = addElement(newChain, currentInt);
|
| 985 |
}
|
| 986 |
return(newChain);
|
| 987 |
} // End pobyso_create_chain_from_unsigned_int_array. */
|
| 988 |
|
| 989 |
node*
|
| 990 |
pobyso_differentiate(node *functionNode)
|
| 991 |
{
|
| 992 |
/* Argument checking. */
|
| 993 |
node *differentialNode;
|
| 994 |
if (functionNode == NULL)
|
| 995 |
{
|
| 996 |
pobyso_error_message("pobyso_differentiate",
|
| 997 |
"NULL_POINTER_ARGUMENT",
|
| 998 |
"The function to differentiate is a NULL pointer");
|
| 999 |
return(NULL);
|
| 1000 |
}
|
| 1001 |
differentialNode = differentiate(functionNode);
|
| 1002 |
if (differentialNode == NULL)
|
| 1003 |
{
|
| 1004 |
pobyso_error_message("pobyso_differentiate",
|
| 1005 |
"INTERNAL ERROR",
|
| 1006 |
"Sollya could not differentiate the function");
|
| 1007 |
}
|
| 1008 |
return(differentialNode);
|
| 1009 |
} // End pobyso_differentiate
|
| 1010 |
|
| 1011 |
|
| 1012 |
int
|
| 1013 |
pobyso_dirty_infnorm(mpfr_t infNorm,
|
| 1014 |
node *functionNode,
|
| 1015 |
mpfr_t lowerBound,
|
| 1016 |
mpfr_t upperBound,
|
| 1017 |
mp_prec_t precision)
|
| 1018 |
{
|
| 1019 |
int functionCallResult;
|
| 1020 |
/* Arguments checking. */
|
| 1021 |
if (functionNode == NULL)
|
| 1022 |
{
|
| 1023 |
pobyso_error_message("pobyso_dirty_infnorm",
|
| 1024 |
"NULL_POINTER_ARGUMENT",
|
| 1025 |
"The function to compute is a NULL pointer");
|
| 1026 |
return(1);
|
| 1027 |
}
|
| 1028 |
if (mpfr_cmp(lowerBound, upperBound) > 0)
|
| 1029 |
{
|
| 1030 |
pobyso_error_message("pobyso_dirty_infnorm",
|
| 1031 |
"INCOHERENT_INPUT_DATA",
|
| 1032 |
"The lower bond is greater than the upper bound");
|
| 1033 |
return(1);
|
| 1034 |
}
|
| 1035 |
/* Particular cases. */
|
| 1036 |
if (mpfr_cmp(lowerBound, upperBound) == 0)
|
| 1037 |
{
|
| 1038 |
functionCallResult = pobyso_evaluate_faithful(infNorm,
|
| 1039 |
functionNode,
|
| 1040 |
lowerBound,
|
| 1041 |
precision);
|
| 1042 |
return(functionCallResult);
|
| 1043 |
}
|
| 1044 |
if (isConstant(functionNode))
|
| 1045 |
{
|
| 1046 |
functionCallResult = pobyso_evaluate_faithful(infNorm,
|
| 1047 |
functionNode,
|
| 1048 |
lowerBound,
|
| 1049 |
precision);
|
| 1050 |
if (!functionCallResult)
|
| 1051 |
{
|
| 1052 |
mpfr_abs(infNorm, infNorm, MPFR_RNDN);
|
| 1053 |
}
|
| 1054 |
return(functionCallResult);
|
| 1055 |
}
|
| 1056 |
uncertifiedInfnorm(infNorm,
|
| 1057 |
functionNode,
|
| 1058 |
lowerBound,
|
| 1059 |
upperBound,
|
| 1060 |
POBYSO_DEFAULT_POINTS,
|
| 1061 |
precision);
|
| 1062 |
return(0);
|
| 1063 |
} /* End pobyso_dirty_infnorm. */
|
| 1064 |
|
| 1065 |
int
|
| 1066 |
pobyso_evaluate_faithful(mpfr_t faithfulEvaluation,
|
| 1067 |
node *nodeToEvaluate,
|
| 1068 |
mpfr_t argument,
|
| 1069 |
mpfr_prec_t precision)
|
| 1070 |
{
|
| 1071 |
/* Check input arguments. */
|
| 1072 |
if (nodeToEvaluate == NULL)
|
| 1073 |
{
|
| 1074 |
pobyso_error_message("pobyso_evaluate_faithful",
|
| 1075 |
"NULL_POINTER_ARGUMENT",
|
| 1076 |
"nodeToEvaluate is a NULL pointer");
|
| 1077 |
return(1);
|
| 1078 |
}
|
| 1079 |
evaluateFaithful(faithfulEvaluation,
|
| 1080 |
nodeToEvaluate,
|
| 1081 |
argument,
|
| 1082 |
precision);
|
| 1083 |
return(0);
|
| 1084 |
} /* End pobyso_evaluate_faithfull. */
|
| 1085 |
|
| 1086 |
chain*
|
| 1087 |
pobyso_find_zeros(node *function,
|
| 1088 |
mpfr_t *lower_bound,
|
| 1089 |
mpfr_t *upper_bound)
|
| 1090 |
{
|
| 1091 |
mp_prec_t currentPrecision;
|
| 1092 |
mpfr_t currentDiameter;
|
| 1093 |
rangetype bounds;
|
| 1094 |
|
| 1095 |
currentPrecision = getToolPrecision();
|
| 1096 |
mpfr_init2(currentDiameter, currentPrecision);
|
| 1097 |
|
| 1098 |
bounds.a = lower_bound;
|
| 1099 |
bounds.b = upper_bound;
|
| 1100 |
|
| 1101 |
if (bounds.a == NULL || bounds.b == NULL)
|
| 1102 |
{
|
| 1103 |
pobyso_error_message("pobyso_find_zeros",
|
| 1104 |
"MEMORY_ALLOCATION_ERROR",
|
| 1105 |
"Could not allocate one of the bounds");
|
| 1106 |
return(NULL);
|
| 1107 |
}
|
| 1108 |
return(findZerosFunction(function,
|
| 1109 |
bounds,
|
| 1110 |
currentPrecision,
|
| 1111 |
currentDiameter));
|
| 1112 |
} /* End pobyso_find_zeros. */
|
| 1113 |
|
| 1114 |
void
|
| 1115 |
pobyso_free_chain_of_nodes(chain *theChainOfNodes)
|
| 1116 |
{
|
| 1117 |
node *currentNode = NULL;
|
| 1118 |
chain *currentChainElement = NULL;
|
| 1119 |
chain *nextChainElement = NULL;
|
| 1120 |
|
| 1121 |
nextChainElement = theChainOfNodes;
|
| 1122 |
|
| 1123 |
while(nextChainElement != NULL)
|
| 1124 |
{
|
| 1125 |
currentChainElement = nextChainElement;
|
| 1126 |
currentNode = (node*)(currentChainElement->value);
|
| 1127 |
nextChainElement = nextChainElement->next;
|
| 1128 |
free_memory(currentNode);
|
| 1129 |
free((void*)(currentChainElement));
|
| 1130 |
}
|
| 1131 |
} /* End pobyso_free_chain_of_nodes. */
|
| 1132 |
|
| 1133 |
void
|
| 1134 |
pobyso_free_range(rangetype range)
|
| 1135 |
{
|
| 1136 |
|
| 1137 |
mpfr_clear(*(range.a));
|
| 1138 |
mpfr_clear(*(range.b));
|
| 1139 |
free(range.a);
|
| 1140 |
free(range.b);
|
| 1141 |
} /* End pobyso_free_range. */
|
| 1142 |
|
| 1143 |
node*
|
| 1144 |
pobyso_fp_minimax_canonical_monomials_base(node *function,
|
| 1145 |
int degree,
|
| 1146 |
chain *formats,
|
| 1147 |
chain *points,
|
| 1148 |
mpfr_t lowerBound,
|
| 1149 |
mpfr_t upperBound,
|
| 1150 |
int fpFixedArg,
|
| 1151 |
int absRel,
|
| 1152 |
node *constPart,
|
| 1153 |
node *minimax)
|
| 1154 |
{
|
| 1155 |
return(NULL);
|
| 1156 |
} /* End pobyso_fp_minimax_canonical_monomials_base. */
|
| 1157 |
|
| 1158 |
node*
|
| 1159 |
pobyso_parse_function(char *functionString,
|
| 1160 |
char *freeVariableNameString)
|
| 1161 |
{
|
| 1162 |
if (functionString == NULL || freeVariableNameString == NULL)
|
| 1163 |
{
|
| 1164 |
pobyso_error_message("pobyso_parse_function",
|
| 1165 |
"NULL_POINTER_ARGUMENT",
|
| 1166 |
"One of the arguments is a NULL pointer");
|
| 1167 |
return(NULL);
|
| 1168 |
}
|
| 1169 |
return(parseString(functionString));
|
| 1170 |
|
| 1171 |
} /* End pobyso_parse_function */
|
| 1172 |
|
| 1173 |
node*
|
| 1174 |
pobyso_remez_approx_canonical_monomials_base_for_error(node *functionNode,
|
| 1175 |
unsigned int mode,
|
| 1176 |
mpfr_t lowerBound,
|
| 1177 |
mpfr_t upperBound,
|
| 1178 |
mpfr_t eps)
|
| 1179 |
{
|
| 1180 |
node *weight = NULL;
|
| 1181 |
node *bestApproxPolyNode = NULL;
|
| 1182 |
node *bestApproxHorner = NULL;
|
| 1183 |
node *errorNode = NULL;
|
| 1184 |
rangetype degreeRange;
|
| 1185 |
mpfr_t quality;
|
| 1186 |
mpfr_t currentError;
|
| 1187 |
unsigned int degree;
|
| 1188 |
|
| 1189 |
/* Check the parameters. */
|
| 1190 |
if (functionNode == NULL)
|
| 1191 |
{
|
| 1192 |
pobyso_error_message("remezApproxCanonicalMonomialsBaseForError",
|
| 1193 |
"NULL_POINTER_ARGUMENT",
|
| 1194 |
"functionNode is a NULL pointer");
|
| 1195 |
return(NULL);
|
| 1196 |
}
|
| 1197 |
if (mpfr_cmp(lowerBound, upperBound) >= 0)
|
| 1198 |
{
|
| 1199 |
pobyso_error_message("remezApproxCanonicalMonomialsBaseForError",
|
| 1200 |
"INCOHERENT_INPUT_DATA",
|
| 1201 |
"the lower_bound >= upper_bound");
|
| 1202 |
return(NULL);
|
| 1203 |
}
|
| 1204 |
/* Set the weight. */
|
| 1205 |
if (mode == POBYSO_ABSOLUTE)
|
| 1206 |
{
|
| 1207 |
/* Set the weight to 1 for the ABSOLUTE_MODE. */
|
| 1208 |
weight = makeConstantDouble(1.0);
|
| 1209 |
}
|
| 1210 |
else
|
| 1211 |
{
|
| 1212 |
if (mode == POBYSO_RELATIVE)
|
| 1213 |
{
|
| 1214 |
pobyso_error_message("computeRemezApproxCanonicalMonomialsBaseForError",
|
| 1215 |
"NOT_IMPLEMENTED",
|
| 1216 |
"the search for relative error is not implemented yet");
|
| 1217 |
return(NULL);
|
| 1218 |
}
|
| 1219 |
else
|
| 1220 |
{
|
| 1221 |
pobyso_error_message("computeRemezApproxCanonicalMonomialsBaseForError",
|
| 1222 |
"INCOHERENT_INPUT_DATA",
|
| 1223 |
"the mode is node of POBYSO_ABOLUTE or POBYSO_RELATIVE");
|
| 1224 |
return(NULL);
|
| 1225 |
}
|
| 1226 |
}
|
| 1227 |
//fprintf(stderr, "\n\n\n******* I'm here! ********\n\n\n");
|
| 1228 |
degreeRange = guessDegree(functionNode,
|
| 1229 |
weight,
|
| 1230 |
lowerBound,
|
| 1231 |
upperBound,
|
| 1232 |
eps,
|
| 1233 |
POBYSO_GUESS_DEGREE_BOUND);
|
| 1234 |
degree = mpfr_get_ui(*(degreeRange.a), MPFR_RNDN);
|
| 1235 |
//fprintf(stderr, "\n\n\n******* I'm back! ********\n\n\n");
|
| 1236 |
fprintf(stderr, "Guessed degree: ");
|
| 1237 |
mpfr_out_str(stderr, 10, 17, *(degreeRange.a), MPFR_RNDN);
|
| 1238 |
fprintf(stderr, " - as int: %u\n", degree);
|
| 1239 |
/* Reduce the degree by 1 in the foolish hope it could work. */
|
| 1240 |
if (degree > 0) degree--;
|
| 1241 |
/* Both elements of degreeRange where "inited" within guessDegree. */
|
| 1242 |
mpfr_clear(*(degreeRange.a));
|
| 1243 |
mpfr_clear(*(degreeRange.b));
|
| 1244 |
free(degreeRange.a);
|
| 1245 |
free(degreeRange.b);
|
| 1246 |
/* Mimic the default behavior of interactive Sollya. */
|
| 1247 |
mpfr_init(quality);
|
| 1248 |
mpfr_set_d(quality, 1e-5, MPFR_RNDN);
|
| 1249 |
mpfr_init2(currentError, getToolPrecision());
|
| 1250 |
mpfr_set_inf(currentError,1);
|
| 1251 |
|
| 1252 |
/* Try to refine the initial guess: loop with increasing degrees until
|
| 1253 |
* we find a satisfactory one. */
|
| 1254 |
while(mpfr_cmp(currentError, eps) > 0)
|
| 1255 |
{
|
| 1256 |
/* Get rid of the previous polynomial, if any. */
|
| 1257 |
if (bestApproxPolyNode != NULL)
|
| 1258 |
{
|
| 1259 |
free_memory(bestApproxPolyNode);
|
| 1260 |
}
|
| 1261 |
fprintf(stderr, "Degree: %u\n", degree);
|
| 1262 |
fprintf(stderr, "Calling pobyso_remez_canonical_monomials_base...\n");
|
| 1263 |
/* Try to find a polynomial with the guessed degree. */
|
| 1264 |
bestApproxPolyNode = pobyso_remez_canonical_monomials_base(functionNode,
|
| 1265 |
weight,
|
| 1266 |
degree,
|
| 1267 |
lowerBound,
|
| 1268 |
upperBound,
|
| 1269 |
quality);
|
| 1270 |
|
| 1271 |
if (bestApproxPolyNode == NULL)
|
| 1272 |
{
|
| 1273 |
pobyso_error_message("computeRemezApproxCanonicalMonomialsBaseForError",
|
| 1274 |
"INTERNAL_ERROR",
|
| 1275 |
"could not compute the bestApproxPolyNode");
|
| 1276 |
mpfr_clear(currentError);
|
| 1277 |
mpfr_clear(quality);
|
| 1278 |
return(NULL);
|
| 1279 |
}
|
| 1280 |
|
| 1281 |
setDisplayMode(DISPLAY_MODE_DECIMAL);
|
| 1282 |
fprintTree(stderr, bestApproxPolyNode);
|
| 1283 |
fprintf(stderr, "\n\n");
|
| 1284 |
|
| 1285 |
errorNode = makeSub(copyTree(functionNode), copyTree(bestApproxPolyNode));
|
| 1286 |
/* Check the error with the computed polynomial. */
|
| 1287 |
uncertifiedInfnorm(currentError,
|
| 1288 |
errorNode,
|
| 1289 |
lowerBound,
|
| 1290 |
upperBound,
|
| 1291 |
POBYSO_INF_NORM_NUM_POINTS,
|
| 1292 |
getToolPrecision());
|
| 1293 |
fprintf(stderr, "Inf norm: ");
|
| 1294 |
mpfr_out_str(stderr, 10, 17, currentError, MPFR_RNDN);
|
| 1295 |
fprintf(stderr, "\n\n");
|
| 1296 |
/* Free the errorNode but not the bestApproxPolyNode (we need it if
|
| 1297 |
* we exit the loop at the next iteration). */
|
| 1298 |
free_memory(errorNode);
|
| 1299 |
degree++;
|
| 1300 |
}
|
| 1301 |
/* Use an intermediate variable, since horner() creates a new node
|
| 1302 |
* and does not reorder the argument "in place". This allows for the memory
|
| 1303 |
* reclaim of bestApproxHorner.
|
| 1304 |
*/
|
| 1305 |
bestApproxHorner = horner(bestApproxPolyNode);
|
| 1306 |
free_memory(bestApproxPolyNode);
|
| 1307 |
mpfr_clear(currentError);
|
| 1308 |
mpfr_clear(quality);
|
| 1309 |
free_memory(weight);
|
| 1310 |
return(bestApproxHorner);
|
| 1311 |
} /* End pobyso_remez_approx_canonical_monomials_base_for_error */
|
| 1312 |
|
| 1313 |
node*
|
| 1314 |
pobyso_remez_canonical_monomials_base(node *function,
|
| 1315 |
node *weight,
|
| 1316 |
unsigned int degree,
|
| 1317 |
mpfr_t lowerBound,
|
| 1318 |
mpfr_t upperBound,
|
| 1319 |
mpfr_t quality)
|
| 1320 |
{
|
| 1321 |
node *bestApproxPoly = NULL;
|
| 1322 |
chain *monomials = NULL;
|
| 1323 |
chain *curMonomial = NULL;
|
| 1324 |
|
| 1325 |
mpfr_t satisfying_error;
|
| 1326 |
mpfr_t target_error;
|
| 1327 |
|
| 1328 |
/* Argument checking */
|
| 1329 |
/* Function tree. */
|
| 1330 |
if (function == NULL)
|
| 1331 |
{
|
| 1332 |
pobyso_error_message("pobyso_remez_canonical_monomials_base",
|
| 1333 |
"NULL_POINTER_ARGUMENT",
|
| 1334 |
"the \"function\" argument is a NULL pointer");
|
| 1335 |
return(NULL);
|
| 1336 |
}
|
| 1337 |
if (weight == NULL)
|
| 1338 |
{
|
| 1339 |
pobyso_error_message("pobyso_remez_canonical_monomials_base",
|
| 1340 |
"NULL_POINTER_ARGUMENT",
|
| 1341 |
"the \"weight\" argument is a NULL pointer");
|
| 1342 |
return(NULL);
|
| 1343 |
}
|
| 1344 |
/* Check the bounds. */
|
| 1345 |
if (mpfr_cmp(lowerBound, upperBound) >= 0)
|
| 1346 |
{
|
| 1347 |
pobyso_error_message("pobyso_remez_canonical_monomials_base",
|
| 1348 |
"INCOHERENT_IMPUT_DATA",
|
| 1349 |
"the lower_bound >= upper_bound");
|
| 1350 |
return(NULL);
|
| 1351 |
}
|
| 1352 |
/* The quality must be a non null positive number. */
|
| 1353 |
if (mpfr_sgn(quality) <= 0)
|
| 1354 |
{
|
| 1355 |
pobyso_error_message("pobyso_remez_canonical_monomials_base",
|
| 1356 |
"INCOHERENT_INPUT_DATA",
|
| 1357 |
"the quality <= 0");
|
| 1358 |
}
|
| 1359 |
/* End argument checking. */
|
| 1360 |
/* Create the monomials nodes chains. */
|
| 1361 |
monomials = pobyso_create_canonical_monomials_base(degree);
|
| 1362 |
fprintf(stderr, "monomials chain length = %d\n", lengthChain(monomials));
|
| 1363 |
if (monomials == NULL || (lengthChain(monomials) != degree + 1))
|
| 1364 |
{
|
| 1365 |
pobyso_error_message("pobyso_remez_canonical_monomials_base",
|
| 1366 |
"CHAIN_CREATION_ERROR",
|
| 1367 |
"could not create the monomials chain");
|
| 1368 |
return(NULL);
|
| 1369 |
}
|
| 1370 |
curMonomial = monomials;
|
| 1371 |
|
| 1372 |
while (curMonomial != NULL)
|
| 1373 |
{
|
| 1374 |
fprintf(stderr, "monomial tree: ");
|
| 1375 |
//mpfr_out_str(stderr, 10, 17, *((mpfr_t*)((node*)(curMonomial->value))->value), MPFR_RNDN);
|
| 1376 |
fprintTree(stderr, (node*)(curMonomial->value));
|
| 1377 |
fprintf(stderr, "\n");
|
| 1378 |
curMonomial = curMonomial->next;
|
| 1379 |
}
|
| 1380 |
|
| 1381 |
/* Deal with NULL weight. */
|
| 1382 |
if (weight == NULL)
|
| 1383 |
{
|
| 1384 |
weight = makeConstantDouble(1.0);
|
| 1385 |
}
|
| 1386 |
/* Compute the best polynomial with the required quality.
|
| 1387 |
The behavior is as if satisfying error and target_error had
|
| 1388 |
not been used.*/
|
| 1389 |
mpfr_init(satisfying_error);
|
| 1390 |
mpfr_init(target_error);
|
| 1391 |
mpfr_set_str(satisfying_error, "0", 10, MPFR_RNDN);
|
| 1392 |
mpfr_set_inf(target_error, 1);
|
| 1393 |
|
| 1394 |
|
| 1395 |
fprintf(stderr, "satisfying_error: ");
|
| 1396 |
mpfr_out_str(stderr, 10, 17, satisfying_error, MPFR_RNDN);
|
| 1397 |
fprintf(stderr, ".\n");
|
| 1398 |
fprintf(stderr, "target_error: ");
|
| 1399 |
mpfr_out_str(stderr, 10, 17, target_error,MPFR_RNDN);
|
| 1400 |
fprintf(stderr, ".\n");
|
| 1401 |
|
| 1402 |
fprintf(stderr,
|
| 1403 |
"current precision: %li\n", getToolPrecision());
|
| 1404 |
/* Call the Sollya function. */
|
| 1405 |
bestApproxPoly = remez(function,
|
| 1406 |
weight,
|
| 1407 |
monomials,
|
| 1408 |
lowerBound,
|
| 1409 |
upperBound,
|
| 1410 |
quality,
|
| 1411 |
satisfying_error,
|
| 1412 |
target_error,
|
| 1413 |
getToolPrecision());
|
| 1414 |
|
| 1415 |
mpfr_clear(satisfying_error);
|
| 1416 |
mpfr_clear(target_error);
|
| 1417 |
pobyso_free_chain_of_nodes(monomials);
|
| 1418 |
|
| 1419 |
return(bestApproxPoly);
|
| 1420 |
} /* End pobyso_remez_canonical_monomials_base. */
|
| 1421 |
|
| 1422 |
#endif
|
| 1423 |
|
| 1424 |
void
|
| 1425 |
pobyso_error_message(char *functionName, char *messageName, char* message) |
| 1426 |
{
|
| 1427 |
fprintf(stderr, "?%s: %s.\n%s.\n", functionName, messageName, message);
|
| 1428 |
} /* End pobyso_error_message */
|