Panda3D
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An abstract mathematical description of a plane. More...
Public Member Functions | |
__init__ () | |
Creates a default plane. More... | |
__init__ (const LPlaned) | |
__init__ (const LPoint3d a, const LPoint3d b, const LPoint3d c) | |
Constructs a plane given three counter-clockwise points, as seen from the front of the plane (that is, viewed from the end of the normal vector, looking down). More... | |
__init__ (const LVecBase4d copy) | |
__init__ (const LVector3d normal, const LPoint3d point) | |
Constructs a plane given a surface normal vector and a point within the plane. More... | |
__init__ (double a, double b, double c, double d) | |
Constructs a plane given the four terms of the plane equation. More... | |
double | distToPlane (const LPoint3d point) |
Returns the straight-line shortest distance from the point to the plane. More... | |
flip () | |
Convenience method that flips the plane in-place. More... | |
LVector3d | getNormal () |
Returns the surface normal of the plane. More... | |
LPoint3d | getPoint () |
Returns an arbitrary point in the plane. More... | |
LMatrix4d | getReflectionMat () |
This computes a transform matrix that reflects the universe to the other side of the plane, as in a mirror. More... | |
bool | intersectsLine (LPoint3d intersection_point, const LPoint3d p1, const LPoint3d p2) |
Returns true if the plane intersects the infinite line passing through points p1 and p2, false if the line is parallel. More... | |
bool | intersectsPlane (LPoint3d from, LVector3d delta, const LPlaned other) |
Returns true if the two planes intersect, false if they do not. More... | |
bool | normalize () |
Normalizes the plane in place. More... | |
LPlaned | normalized () |
Normalizes the plane and returns the normalized plane as a copy. More... | |
LPlaned | operator* (const LMatrix3d mat) |
LPlaned | operator* (const LMatrix4d mat) |
LPlaned | operator*= (const LMatrix4d mat) |
LPlaned | operator- () |
output (Ostream out) | |
LPoint3d | project (const LPoint3d point) |
Returns the point within the plane nearest to the indicated point in space. More... | |
write (Ostream out, int indent_level) | |
xform (const LMatrix4d mat) | |
Transforms the plane by the indicated matrix. More... | |
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object | __getattr__ (str attr_name) |
__init__ () | |
__init__ (const LPoint3d point) | |
Constructs an LVecBase4 from an LPoint3. More... | |
__init__ (const LVecBase3d copy, double w) | |
__init__ (const LVecBase4d) | |
__init__ (const LVector3d vector) | |
Constructs an LVecBase4 from an LVector3. More... | |
__init__ (const UnalignedLVecBase4d copy) | |
__init__ (double fill_value) | |
__init__ (double x, double y, double z, double w) | |
object | __ipow__ (double exponent) |
LVecBase4d | __pow__ (double exponent) |
object | __reduce__ () |
str | __repr__ () |
int | __setattr__ (str attr_name, object assign) |
int | addHash (int hash) |
Adds the vector into the running hash. More... | |
int | addHash (int hash, double threshold) |
Adds the vector into the running hash. More... | |
addToCell (int i, double value) | |
addW (double value) | |
addX (double value) | |
addY (double value) | |
addZ (double value) | |
bool | almostEqual (const LVecBase4d other) |
Returns true if two vectors are memberwise equal within a default tolerance based on the numeric type. More... | |
bool | almostEqual (const LVecBase4d other, double threshold) |
Returns true if two vectors are memberwise equal within a specified tolerance. More... | |
int | compareTo (const LVecBase4d other) |
This flavor of compare_to uses a default threshold value based on the numeric type. More... | |
int | compareTo (const LVecBase4d other, double threshold) |
Sorts vectors lexicographically, componentwise. More... | |
componentwiseMult (const LVecBase4d other) | |
double | dot (const LVecBase4d other) |
fill (double fill_value) | |
Sets each element of the vector to the indicated fill_value. More... | |
LVecBase4d | fmax (const LVecBase4d other) |
LVecBase4d | fmin (const LVecBase4d other) |
generateHash (ChecksumHashGenerator hashgen) | |
Adds the vector to the indicated hash generator. More... | |
generateHash (ChecksumHashGenerator hashgen, double threshold) | |
Adds the vector to the indicated hash generator. More... | |
double | getCell (int i) |
getData () | |
Returns the address of the first of the four data elements in the vector. More... | |
int | getHash () |
Returns a suitable hash for phash_map. More... | |
int | getHash (double threshold) |
Returns a suitable hash for phash_map. More... | |
double | getW () |
double | getX () |
LVecBase2d | getXy () |
Returns the x and y component of this vector. More... | |
LVecBase3d | getXyz () |
Returns the x, y and z component of this vector. More... | |
double | getY () |
double | getZ () |
bool | isNan () |
Returns true if any component of the vector is not-a-number, false otherwise. More... | |
double | length () |
Returns the length of the vector, by the Pythagorean theorem. More... | |
double | lengthSquared () |
Returns the square of the vector's length, cheap and easy. More... | |
bool | normalize () |
Normalizes the vector in place. More... | |
LVecBase4d | normalized () |
Normalizes the vector and returns the normalized vector as a copy. More... | |
operator new (int size) | |
bool | operator!= (const LVecBase4d other) |
LVecBase4d | operator* (double scalar) |
LVecBase4d | operator*= (double scalar) |
LVecBase4d | operator+ (const LVecBase4d other) |
LVecBase4d | operator+= (const LVecBase4d other) |
LVecBase4d | operator- () |
LVecBase4d | operator- (const LVecBase4d other) |
LVecBase4d | operator-= (const LVecBase4d other) |
LVecBase4d | operator/ (double scalar) |
LVecBase4d | operator/= (double scalar) |
bool | operator< (const LVecBase4d other) |
LVecBase4d | operator= (const LVecBase4d copy) |
LVecBase4d | operator= (double fill_value) |
bool | operator== (const LVecBase4d other) |
double | operator[] (int i) |
operator[] (int i, double assign_val) | |
output (Ostream out) | |
LVecBase4d | project (const LVecBase4d onto) |
Returns a new vector representing the projection of this vector onto another one. More... | |
readDatagram (DatagramIterator source) | |
Reads the vector from the Datagram using get_stdfloat(). More... | |
readDatagramFixed (DatagramIterator source) | |
Reads the vector from the Datagram using get_float32() or get_float64(). More... | |
set (double x, double y, double z, double w) | |
setCell (int i, double value) | |
setW (double value) | |
setX (double value) | |
setY (double value) | |
setZ (double value) | |
writeDatagram (Datagram destination) | |
Writes the vector to the Datagram using add_stdfloat(). More... | |
writeDatagramFixed (Datagram destination) | |
Writes the vector to the Datagram using add_float32() or add_float64(), depending on the type of floats in the vector, regardless of the setting of Datagram::set_stdfloat_double(). More... | |
Additional Inherited Members | |
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enum | { num_components = 4, is_int = 0 } |
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static TypeHandle | getClassType () |
static int | getNumComponents () |
static int | size () |
static const LVecBase4d | unitW () |
Returns a unit W vector. More... | |
static const LVecBase4d | unitX () |
Returns a unit X vector. More... | |
static const LVecBase4d | unitY () |
Returns a unit Y vector. More... | |
static const LVecBase4d | unitZ () |
Returns a unit Z vector. More... | |
static const LVecBase4d | zero () |
Returns a zero-length vector. More... | |
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double | x |
LVecBase2d | xy |
Returns the x and y component of this vector. More... | |
LVecBase3d | xyz |
Returns the x, y and z component of this vector. More... | |
double | y |
double | z |
An abstract mathematical description of a plane.
A plane is defined by the equation Ax + By + Cz + D = 0.
__init__ | ( | ) |
Creates a default plane.
This plane happens to intersect the origin, perpendicular to the Z axis. It's not clear how useful a default plane is.
__init__ | ( | const | LPlaned | ) |
Constructs a plane given three counter-clockwise points, as seen from the front of the plane (that is, viewed from the end of the normal vector, looking down).
__init__ | ( | const LVecBase4d | copy | ) |
Constructs a plane given a surface normal vector and a point within the plane.
__init__ | ( | double | a, |
double | b, | ||
double | c, | ||
double | d | ||
) |
Constructs a plane given the four terms of the plane equation.
double distToPlane | ( | const LPoint3d | point | ) |
Returns the straight-line shortest distance from the point to the plane.
The returned value is positive if the point is in front of the plane (on the side with the normal), or negative in the point is behind the plane (on the opposite side from the normal). It's zero if the point is exactly in the plane.
flip | ( | ) |
Convenience method that flips the plane in-place.
This is done by simply flipping the normal vector.
LVector3d getNormal | ( | ) |
Returns the surface normal of the plane.
LPoint3d getPoint | ( | ) |
Returns an arbitrary point in the plane.
This can be used along with the normal returned by get_normal() to reconstruct the plane.
LMatrix4d getReflectionMat | ( | ) |
This computes a transform matrix that reflects the universe to the other side of the plane, as in a mirror.
Returns true if the plane intersects the infinite line passing through points p1 and p2, false if the line is parallel.
The points p1 and p2 are used only to define the Euclidean line; they have no other bearing on the intersection test. If true, sets intersection_point to the point of intersection.
Returns true if the two planes intersect, false if they do not.
If they do intersect, then from and delta are filled in with the parametric representation of the line of intersection: that is, from is a point on that line, and delta is a vector showing the direction of the line.
bool normalize | ( | ) |
Normalizes the plane in place.
Returns true if the plane was normalized, false if the plane had a zero-length normal vector.
LPlaned normalized | ( | ) |
Normalizes the plane and returns the normalized plane as a copy.
If the plane's normal was a zero-length vector, the same plane is returned.
LPlaned operator- | ( | ) |
output | ( | Ostream | out | ) |
Returns the point within the plane nearest to the indicated point in space.
write | ( | Ostream | out, |
int | indent_level | ||
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xform | ( | const LMatrix4d | mat | ) |
Transforms the plane by the indicated matrix.