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+/*
+Copyright 2015 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.
+*/
+
+/*
+Coefficients represent the collection of terms which appear
+ on the right hand side of a single flow equation.
+
+They are used as an elementary building block of grouped polynomials.
+*/
+
+#ifndef COEFFICIENT_H
+#define COEFFICIENT_H
+
+#include "types.h"
+
+// allocate memory
+int init_Coefficient(Coefficient* coef,int size);
+// free memory
+int free_Coefficient(Coefficient coef);
+
+// copy a coefficient
+int coefficient_cpy(Coefficient input, Coefficient* output);
+int coefficient_cpy_noinit(Coefficient input, Coefficient* output);
+
+// resize the memory allocated to a coefficient
+int resize_Coefficient(Coefficient* coefficient,int new_size);
+
+// append an element to a coefficient
+int coefficient_append(Int_Array factor,Number num, coef_denom denom, Coefficient* output);
+int coefficient_append_noinit(Int_Array factor, Number num, coef_denom denom, Coefficient* output);
+
+// concatenate coefficients and simplify result
+int coefficient_concat(Coefficient input, Coefficient* output);
+int coefficient_concat_noinit(Coefficient input, Coefficient* output);
+
+// simplify a Coefficient
+int coefficient_simplify(Coefficient* coefficient);
+// sort the terms in an equation (quicksort algorithm)
+int sort_coefficient(Coefficient* coefficient, int begin, int end);
+// exchange two terms (for the sorting algorithm)
+int exchange_coefficient_terms(int i, int j, Coefficient* coefficient);
+
+// derive a coefficient with respect to an index (as a polynomial) (does not derive the 1/(1+C)^p )
+int coefficient_deriv_noinit(Coefficient input, int index, Coefficient* output);
+int coefficient_deriv(Coefficient input, int index, Coefficient* output);
+
+// product of two coefficients
+int coefficient_prod(Coefficient coef1, Coefficient coef2, Coefficient* output);
+// product of coefficients, output replaces the second coefficient
+int coefficient_prod_chain(Coefficient in, Coefficient* inout);
+
+// print coefficient
+int coefficient_sprint(Coefficient coef, Char_Array* output, int offset, char index_pre);
+
+// read from a string
+int char_array_to_Coefficient(Char_Array str_coef, Coefficient* output);
+int str_to_Coefficient(char* str, Coefficient* output);
+
+// compare coefficient denominators
+int coef_denom_cmp(coef_denom denom1, coef_denom denom2);
+
+// evaluate a coefficient on a vector
+int evalcoef(RCC rccs, Coefficient coef, long double* out);
+
+#endif