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OB-Xd/Modules/gin/geometry/geometry.h

113 lines
2.4 KiB
C++
Executable File

/*==============================================================================
Copyright 2018 by Roland Rabien
For more information visit www.rabiensoftware.com
==============================================================================*/
#pragma once
template <typename T>
inline T square (T in)
{
return in * in;
}
//==============================================================================
template <typename T>
class Ellipse
{
public:
Ellipse (T a_, T b_) : a (a_), b (b_)
{
}
bool isPointOn (juce::Point<T> pt, T accuracy = 0.00001)
{
return std::abs (1.0 - (square (pt.getX()) / square (a) + square (pt.getY()) / square (b))) < accuracy;
}
bool isPointOutside (juce::Point<T> pt)
{
return (square (pt.getX()) / square (a) + square (pt.getY()) / square (b)) > 1.0;
}
bool isPointInside (juce::Point<T> pt)
{
return (square (pt.getX()) / square (a) + square (pt.getY()) / square (b)) < 1.0;
}
juce::Point<T> pointAtAngle (T angle)
{
T x = (a * b) / std::sqrt (square (b) + square (a) * square (std::tan (angle)));
T y = (a * b) / std::sqrt (square (a) + square (b) / square (std::tan (angle)));
while (angle < 0) angle += double_Pi * 2;
angle = std::fmod (angle, double_Pi * 2);
if (angle >= double_Pi / 2 * 3)
{
y = -y;
}
else if (angle >= double_Pi)
{
y = -y;
x = -x;
}
else if (angle >= double_Pi / 2)
{
x = -x;
}
return {x, y};
}
T a = 0, b = 0;
};
//==============================================================================
// Solves for the slope and intercept of a line.
template <typename T>
bool solveLine (T x1, T y1, T x2, T y2, T& m, T& b)
{
if (x2 != x1)
{
m = (y2 - y1) / (x2 - x1);
b = y2 - m * x2;
return true;
}
else
{
m = 0;
b = 0;
return false;
}
}
template <typename T>
bool solveLine (Line<T> l, T& m, T& b)
{
T x1 = l.getStartX();
T x2 = l.getEndX();
T y1 = l.getStartY();
T y2 = l.getEndY();
if (x2 != x1)
{
m = (y2 - y1) / (x2 - x1);
b = y2 - m * x2;
return true;
}
else
{
m = 0;
b = 0;
return false;
}
}