/*
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 real polynomials

  see polynomial_*.h for the values taken by POLYNOMIAL_FUNC, etc...
*/

// init
int POLYNOMIAL_FUNC(init) (POLYNOMIAL_TYPENAME* poly, unsigned int memory);
int POLYNOMIAL_FUNC(free) (POLYNOMIAL_TYPENAME poly);

// resize memory
int POLYNOMIAL_FUNC(resize) (POLYNOMIAL_TYPENAME* poly, unsigned int newsize);

// add a monomial
int POLYNOMIAL_FUNC(add_monomial) (POLYNOMIAL_COEF_TYPE val, POLYNOMIAL_ORDER_TYPE order, POLYNOMIAL_TYPENAME* output);
// from a double-valued coefficient and an unsigned int order
int POLYNOMIAL_FUNC(add_monomial_dui) (double val, unsigned int order, POLYNOMIAL_TYPENAME* output);

// copy
int POLYNOMIAL_FUNC(cpy) (POLYNOMIAL_TYPENAME input, POLYNOMIAL_TYPENAME* output);
int POLYNOMIAL_FUNC(cpy_noinit) (POLYNOMIAL_TYPENAME input, POLYNOMIAL_TYPENAME* output);

// add
int POLYNOMIAL_FUNC(add_inplace) (POLYNOMIAL_TYPENAME poly1, POLYNOMIAL_TYPENAME* poly2);
int POLYNOMIAL_FUNC(add) (POLYNOMIAL_TYPENAME poly1, POLYNOMIAL_TYPENAME poly2, POLYNOMIAL_TYPENAME* output);

// multiply by a scalar
int POLYNOMIAL_FUNC(mul_scalar_inplace) (POLYNOMIAL_COEF_TYPE x, POLYNOMIAL_TYPENAME* poly);
int POLYNOMIAL_FUNC(mul_scalar) (POLYNOMIAL_COEF_TYPE x, POLYNOMIAL_TYPENAME poly, POLYNOMIAL_TYPENAME* output);

// multiply by a monomial
int POLYNOMIAL_FUNC(mul_monomial_inplace) (POLYNOMIAL_COEF_TYPE x, POLYNOMIAL_ORDER_TYPE order, POLYNOMIAL_TYPENAME* poly);
int POLYNOMIAL_FUNC(mul_monomial) (POLYNOMIAL_COEF_TYPE x, POLYNOMIAL_ORDER_TYPE order, POLYNOMIAL_TYPENAME poly, POLYNOMIAL_TYPENAME* output);

// multiply two polynomials
int POLYNOMIAL_FUNC(mul_inplace) (POLYNOMIAL_TYPENAME poly1, POLYNOMIAL_TYPENAME* poly2);
int POLYNOMIAL_FUNC(mul) (POLYNOMIAL_TYPENAME poly1, POLYNOMIAL_TYPENAME poly2, POLYNOMIAL_TYPENAME* output);

// derive
int POLYNOMIAL_FUNC(derive_inplace) (POLYNOMIAL_TYPENAME* poly);
int POLYNOMIAL_FUNC(derive) (POLYNOMIAL_TYPENAME poly, POLYNOMIAL_TYPENAME* output);

// evaluate
int POLYNOMIAL_FUNC(evaluate) (POLYNOMIAL_COEF_TYPE* out, POLYNOMIAL_COEF_TYPE x, POLYNOMIAL_TYPENAME poly);

// print
int POLYNOMIAL_FUNC(print) (POLYNOMIAL_TYPENAME poly);


// n-th Legendre polynomial
int POLYNOMIAL_FUNC(legendre) (unsigned int n, POLYNOMIAL_TYPENAME* output);