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Diffstat (limited to 'externals/g3dlite/Cylinder.cpp')
-rw-r--r-- | externals/g3dlite/Cylinder.cpp | 176 |
1 files changed, 176 insertions, 0 deletions
diff --git a/externals/g3dlite/Cylinder.cpp b/externals/g3dlite/Cylinder.cpp new file mode 100644 index 00000000000..7a7b9f9440d --- /dev/null +++ b/externals/g3dlite/Cylinder.cpp @@ -0,0 +1,176 @@ +/** + @file Cylinder.cpp + + @maintainer Morgan McGuire, http://graphics.cs.williams.edu + + @created 2003-02-07 + @edited 2006-02-18 + + Copyright 2000-2006, Morgan McGuire. + All rights reserved. + */ + +#include "G3D/platform.h" +#include "G3D/Cylinder.h" +#include "G3D/BinaryInput.h" +#include "G3D/BinaryOutput.h" +#include "G3D/LineSegment.h" +#include "G3D/CoordinateFrame.h" +#include "G3D/Line.h" +#include "G3D/AABox.h" + +namespace G3D { + +Cylinder::Cylinder(class BinaryInput& b) { + deserialize(b); +} + + +Cylinder::Cylinder() { +} + + +Cylinder::Cylinder(const Vector3& _p1, const Vector3& _p2, float _r) + : p1(_p1), p2(_p2), mRadius(_r) { +} + + +void Cylinder::serialize(class BinaryOutput& b) const { + p1.serialize(b); + p2.serialize(b); + b.writeFloat64(mRadius); +} + + +void Cylinder::deserialize(class BinaryInput& b) { + p1.deserialize(b); + p2.deserialize(b); + mRadius = b.readFloat64(); +} + + +Line Cylinder::axis() const { + return Line::fromTwoPoints(p1, p2); +} + + + +float Cylinder::radius() const { + return mRadius; +} + + +float Cylinder::volume() const { + return + (float)pi() * square(mRadius) * (p1 - p2).magnitude(); +} + + +float Cylinder::area() const { + return + // Sides + (twoPi() * mRadius) * height() + + + // Caps + twoPi() * square(mRadius); +} + +void Cylinder::getBounds(AABox& out) const { + Vector3 min = p1.min(p2) - (Vector3(1, 1, 1) * mRadius); + Vector3 max = p1.max(p2) + (Vector3(1, 1, 1) * mRadius); + out = AABox(min, max); +} + +bool Cylinder::contains(const Vector3& p) const { + return LineSegment::fromTwoPoints(p1, p2).distanceSquared(p) <= square(mRadius); +} + + +void Cylinder::getReferenceFrame(CoordinateFrame& cframe) const { + cframe.translation = center(); + + Vector3 Y = (p1 - p2).direction(); + Vector3 X = (abs(Y.dot(Vector3::unitX())) > 0.9) ? Vector3::unitY() : Vector3::unitX(); + Vector3 Z = X.cross(Y).direction(); + X = Y.cross(Z); + cframe.rotation.setColumn(0, X); + cframe.rotation.setColumn(1, Y); + cframe.rotation.setColumn(2, Z); +} + + +void Cylinder::getRandomSurfacePoint(Vector3& p, Vector3& N) const { + float h = height(); + float r = radius(); + + // Create a random point on a standard cylinder and then rotate to the global frame. + + // Relative areas (factor of 2PI already taken out) + float capRelArea = square(r) / 2.0f; + float sideRelArea = r * h; + + float r1 = uniformRandom(0, capRelArea * 2 + sideRelArea); + + if (r1 < capRelArea * 2) { + + // Select a point uniformly at random on a disk + // @cite http://mathworld.wolfram.com/DiskPointPicking.html + float a = uniformRandom(0, (float)twoPi()); + float r2 = sqrt(uniformRandom(0, 1)) * r; + p.x = cos(a) * r2; + p.z = sin(a) * r2; + + N.x = 0; + N.z = 0; + if (r1 < capRelArea) { + // Top + p.y = h / 2.0f; + N.y = 1; + } else { + // Bottom + p.y = -h / 2.0f; + N.y = -1; + } + } else { + // Side + float a = uniformRandom(0, (float)twoPi()); + N.x = cos(a); + N.y = 0; + N.z = sin(a); + p.x = N.x * r; + p.z = N.y * r; + p.y = uniformRandom(-h / 2.0f, h / 2.0f); + } + + // Transform to world space + CoordinateFrame cframe; + getReferenceFrame(cframe); + + p = cframe.pointToWorldSpace(p); + N = cframe.normalToWorldSpace(N); +} + + +Vector3 Cylinder::randomInteriorPoint() const { + float h = height(); + float r = radius(); + + // Create a random point in a standard cylinder and then rotate to the global frame. + + // Select a point uniformly at random on a disk + // @cite http://mathworld.wolfram.com/DiskPointPicking.html + float a = uniformRandom(0, (float)twoPi()); + float r2 = sqrt(uniformRandom(0, 1)) * r; + + Vector3 p( cos(a) * r2, + uniformRandom(-h / 2.0f, h / 2.0f), + sin(a) * r2); + + // Transform to world space + CoordinateFrame cframe; + getReferenceFrame(cframe); + + return cframe.pointToWorldSpace(p); +} + +} // namespace |