%description:
Test the cFigure::Transform class.

%includes:
#include <math.h>

%activity:

#define P(x)  EV << #x << " --> " << x.str() << endl;
#define M_PI 3.14159265358979323846

typedef cFigure::Transform Transform;
typedef cFigure::Point Point;

// combining transformations

P(Transform().translate(-1,-2).scale(1000,1000).translate(1,2).applyTo(Point(1,2)));
EV << endl;

// basic transformations

P(Transform().translate(1,2).applyTo(Point(2,4)));
EV << endl;

P(Transform().scale(0.5,2).applyTo(Point(2,4)));
P(Transform().scale(0.5,2,1,2).applyTo(Point(2,4)));
P(Transform().translate(-1,-2).scale(0.5,2).translate(1,2).applyTo(Point(2,4))); // expanded form of previous one
EV << endl;

P(Transform().rotate(M_PI).applyTo(Point(1,2)));
P(Transform().rotate(M_PI/2).applyTo(Point(1,2)));
P(Transform().rotate(-M_PI/2).applyTo(Point(1,2)));
P(Transform().rotate(M_PI/2).applyTo(Point(-1,-1)));

EV << endl;

P(Transform().rotate(M_PI/2,1,2).applyTo(Point(1,2)));
P(Transform().rotate(M_PI/2,2,3).applyTo(Point(1,2)));
P(Transform().translate(-2,-3).rotate(M_PI/2).translate(2,3).applyTo(Point(1,2))); // expanded form of previous one
EV << endl;

P(Transform().skewx(0.5).applyTo(Point(1,0)));
P(Transform().skewx(0.5).applyTo(Point(1,1)));
P(Transform().skewx(0.5).applyTo(Point(1,2)));
EV << endl;

P(Transform().skewy(0.5).applyTo(Point(0,1)));
P(Transform().skewy(0.5).applyTo(Point(1,1)));
P(Transform().skewy(0.5).applyTo(Point(2,1)));
EV << ".\n";


%contains: stdout
Transform().translate(-1,-2).scale(1000,1000).translate(1,2).applyTo(Point(1,2)) --> (1, 2)

Transform().translate(1,2).applyTo(Point(2,4)) --> (3, 6)

Transform().scale(0.5,2).applyTo(Point(2,4)) --> (1, 8)
Transform().scale(0.5,2,1,2).applyTo(Point(2,4)) --> (1.5, 6)
Transform().translate(-1,-2).scale(0.5,2).translate(1,2).applyTo(Point(2,4)) --> (1.5, 6)

Transform().rotate(M_PI).applyTo(Point(1,2)) --> (-1, -2)
Transform().rotate(M_PI/2).applyTo(Point(1,2)) --> (-2, 1)
Transform().rotate(-M_PI/2).applyTo(Point(1,2)) --> (2, -1)
Transform().rotate(M_PI/2).applyTo(Point(-1,-1)) --> (1, -1)

Transform().rotate(M_PI/2,1,2).applyTo(Point(1,2)) --> (1, 2)
Transform().rotate(M_PI/2,2,3).applyTo(Point(1,2)) --> (3, 2)
Transform().translate(-2,-3).rotate(M_PI/2).translate(2,3).applyTo(Point(1,2)) --> (3, 2)

Transform().skewx(0.5).applyTo(Point(1,0)) --> (1, 0)
Transform().skewx(0.5).applyTo(Point(1,1)) --> (1.5, 1)
Transform().skewx(0.5).applyTo(Point(1,2)) --> (2, 2)

Transform().skewy(0.5).applyTo(Point(0,1)) --> (0, 1)
Transform().skewy(0.5).applyTo(Point(1,1)) --> (1, 1.5)
Transform().skewy(0.5).applyTo(Point(2,1)) --> (2, 2)
.