/*
Copyright 2016 Ian Jauslin

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/

/*
  Base functions for multivariable polynomials

  polynomialMV_*.h for the values taken by POLYNOMIALMV_FUNC, etc...
*/

// init
int POLYNOMIALMV_FUNC(init) (POLYNOMIALMV_TYPENAME* polynomial, int size);
int POLYNOMIALMV_FUNC(free) (POLYNOMIALMV_TYPENAME polynomial);

// resize the memory allocated to a polynomial
int POLYNOMIALMV_FUNC(resize) (POLYNOMIALMV_TYPENAME* polynomial, int new_size);

// copy a polynomial
int POLYNOMIALMV_FUNC(cpy) (POLYNOMIALMV_TYPENAME input, POLYNOMIALMV_TYPENAME* output);
int POLYNOMIALMV_FUNC(cpy_noinit) (POLYNOMIALMV_TYPENAME input, POLYNOMIALMV_TYPENAME* output);

// append an element to a polynomial
int POLYNOMIALMV_FUNC(append) (POLYNOMIALMV_FACTOR_TYPE factor, POLYNOMIALMV_COEF_TYPE coef, POLYNOMIALMV_TYPENAME* output);
// if there already exists an element with the same factor, then just add coefficients
// requires the factors to be ordered
int POLYNOMIALMV_FUNC(append_inplace) (POLYNOMIALMV_FACTOR_TYPE factor, POLYNOMIALMV_COEF_TYPE coef, POLYNOMIALMV_TYPENAME* output);
// do not allocate memory for factor or coefficient
int POLYNOMIALMV_FUNC(append_noinit) (POLYNOMIALMV_FACTOR_TYPE factor, POLYNOMIALMV_COEF_TYPE coef, POLYNOMIALMV_TYPENAME* output);
// noinit factor but init coefficient
int POLYNOMIALMV_FUNC(append_noinitfactor) (POLYNOMIALMV_FACTOR_TYPE factor, POLYNOMIALMV_COEF_TYPE coef, POLYNOMIALMV_TYPENAME* output);
// noinit
// if there already exists an element with the same factor, then just add coefficients
// requires the factors to be ordered
int POLYNOMIALMV_FUNC(append_noinit_inplace) (POLYNOMIALMV_FACTOR_TYPE factor, POLYNOMIALMV_COEF_TYPE coef, POLYNOMIALMV_TYPENAME* output);
// noinit factors but init coefficient
// if there already exists an element with the same factor, then just add coefficients
// requires the factors to be ordered
int POLYNOMIALMV_FUNC(append_noinitfactor_inplace) (POLYNOMIALMV_FACTOR_TYPE factor, POLYNOMIALMV_COEF_TYPE coef, POLYNOMIALMV_TYPENAME* output);

// add polynomials (inplace)
int POLYNOMIALMV_FUNC(add_inplace) (POLYNOMIALMV_TYPENAME input, POLYNOMIALMV_TYPENAME* inout);
// not inplace
int POLYNOMIALMV_FUNC(add) (POLYNOMIALMV_TYPENAME input1, POLYNOMIALMV_TYPENAME input2, POLYNOMIALMV_TYPENAME* output);

// multiply a polynomial by a scalar
int POLYNOMIALMV_FUNC(multiply_scalar) (POLYNOMIALMV_TYPENAME polynomial, POLYNOMIALMV_COEF_TYPE num);

// multiply polynomials
int POLYNOMIALMV_FUNC(prod) (POLYNOMIALMV_TYPENAME input1, POLYNOMIALMV_TYPENAME input2, POLYNOMIALMV_TYPENAME* output);

// order factors
int POLYNOMIALMV_FUNC(order) (POLYNOMIALMV_TYPENAME polynomial);

// print
int POLYNOMIALMV_FUNC(print) (POLYNOMIALMV_TYPENAME polynomial);