/*
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 root finding

  see integral_*.h for the values taken by ROOT_FUNC, etc...
*/


// compute the root of a real function of 1 variable using the Newton method
int ROOT_FUNC(root_newton_inplace) (ROOT_FLOAT_TYPE* out, int (*func)(ROOT_FLOAT_TYPE*, ROOT_FLOAT_TYPE, void*), int (*deriv_func)(ROOT_FLOAT_TYPE*, ROOT_FLOAT_TYPE, void*), ROOT_FLOAT_TYPE tolerance, unsigned int maxiter, void* extra_args);
int ROOT_FUNC(root_newton) (ROOT_FLOAT_TYPE* out, int (*func)(ROOT_FLOAT_TYPE*, ROOT_FLOAT_TYPE, void*), int (*deriv_func)(ROOT_FLOAT_TYPE*, ROOT_FLOAT_TYPE, void*), ROOT_FLOAT_TYPE init, ROOT_FLOAT_TYPE tolerance, unsigned int maxiter, void* extra_args);