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#ifndef __DataTypes_h__
#define __DataTypes_h__
#include <assert.h>
#include <float.h>
#include <limits.h>
#include <math.h>
#include <stdarg.h>
#include <stdio.h>
#include <stdint.h>
#include <stdlib.h>
#include <strings.h>
#include <sys/types.h>
extern const double PointEpsilon;
extern const double SquaredEpsilon;
inline bool approximately_equal(double x, double y) {
return fabs(x - y) < PointEpsilon;
}
inline bool approximately_equal_squared(double x, double y) {
return fabs(x - y) < SquaredEpsilon;
}
inline bool approximately_greater(double x, double y) {
return x > y - PointEpsilon;
}
inline bool approximately_lesser(double x, double y) {
return x < y + PointEpsilon;
}
inline bool approximately_zero(double x) {
return fabs(x) < PointEpsilon;
}
inline bool approximately_zero_squared(double x) {
return fabs(x) < SquaredEpsilon;
}
inline bool approximately_negative(double x) {
return x < PointEpsilon;
}
struct _Point {
double x;
double y;
void operator-=(const _Point& v) {
x -= v.x;
y -= v.y;
}
friend bool operator==(const _Point& a, const _Point& b) {
return a.x == b.x && a.y == b.y;
}
friend bool operator!=(const _Point& a, const _Point& b) {
return a.x!= b.x || a.y != b.y;
}
bool approximatelyEqual(const _Point& a) const {
return approximately_equal(a.y, y) && approximately_equal(a.x, x);
}
};
typedef _Point _Line[2];
typedef _Point Quadratic[3];
typedef _Point Cubic[4];
struct _Rect {
double left;
double top;
double right;
double bottom;
void add(const _Point& pt) {
if (left > pt.x) {
left = pt.x;
}
if (top > pt.y) {
top = pt.y;
}
if (right < pt.x) {
right = pt.x;
}
if (bottom < pt.y) {
bottom = pt.y;
}
}
void set(const _Point& pt) {
left = right = pt.x;
top = bottom = pt.y;
}
void setBounds(const _Line& line) {
set(line[0]);
add(line[1]);
}
void setBounds(const Cubic& );
void setBounds(const Quadratic& );
void setRawBounds(const Cubic& );
void setRawBounds(const Quadratic& );
};
struct CubicPair {
const Cubic& first() const { return (const Cubic&) pts[0]; }
const Cubic& second() const { return (const Cubic&) pts[3]; }
_Point pts[7];
};
struct QuadraticPair {
const Quadratic& first() const { return (const Quadratic&) pts[0]; }
const Quadratic& second() const { return (const Quadratic&) pts[2]; }
_Point pts[5];
};
enum x_at_flags {
kFindTopMin = 1,
kFindTopMax = 2,
kFindBottomMin = 4,
kFindBottomMax = 8
};
bool rotate(const Cubic& cubic, int zero, int index, Cubic& rotPath);
double t_at(const _Line&, const _Point& );
void x_at(const _Point& p1, const _Point& p2, double minY, double maxY,
int flags, double& tMin, double& tMax);
void xy_at_t(const Cubic& , double t, double& x, double& y);
void xy_at_t(const _Line& , double t, double& x, double& y);
void xy_at_t(const Quadratic& , double t, double& x, double& y);
bool AlmostEqualUlps(float A, float B, int maxUlpsDiff);
int UlpsDiff(float A, float B);
int FloatAsInt(float A);
#endif // __DataTypes_h__
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