| #ifndef __DataTypes_h__ |
| #define __DataTypes_h__ |
| |
| #ifdef __cplusplus |
| extern "C" { |
| #endif |
| |
| extern double fabs( double ); |
| |
| #ifdef __cplusplus |
| } |
| #endif |
| |
| 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__ |