/* Copyright: (c) Kayne Ruse 2014
 * 
 * This software is provided 'as-is', without any express or implied
 * warranty. In no event will the authors be held liable for any damages
 * arising from the use of this software.
 * 
 * Permission is granted to anyone to use this software for any purpose,
 * including commercial applications, and to alter it and redistribute it
 * freely, subject to the following restrictions:
 * 
 * 1. The origin of this software must not be misrepresented; you must not
 * claim that you wrote the original software. If you use this software
 * in a product, an acknowledgment in the product documentation would be
 * appreciated but is not required.
 * 
 * 2. Altered source versions must be plainly marked as such, and must not be
 * misrepresented as being the original software.
 * 
 * 3. This notice may not be removed or altered from any source
 * distribution.
*/
#include "maths.hpp"

double curve(double x) {
	return 3.0 * pow(x, 2.0) - 2.0 * pow(x, 3.0);
}

double snap(double x, double base) {
	//snap to a grid (floating point version)
	return floor(x / base) * base;
}

int snap(int x, int base) {
	//snap to a grid (integer devision version)
	if (x < 0) {
		++x;
		return x / base * base - base;
	}
	return x / base * base;
}

double scalarProduct(Vector2 lhs, Vector2 rhs) {
	//the dot product
	return lhs.x * rhs.x + lhs.y * rhs.y;
}