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80 lines
1.7 KiB
C++
80 lines
1.7 KiB
C++
/**
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@file Cone.cpp
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Cone class
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@maintainer Morgan McGuire, http://graphics.cs.williams.edu
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@created 2001-07-09
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@edited 2006-01-29
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*/
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#include "G3D/platform.h"
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#include "G3D/Cone.h"
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#include "G3D/Line.h"
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#include "G3D/Sphere.h"
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#include "G3D/Box.h"
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namespace G3D {
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Cone::Cone(const Vector3 &tip, const Vector3 &direction, float angle) {
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this->tip = tip;
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this->direction = direction.direction();
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this->angle = angle;
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debugAssert(angle >= 0);
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debugAssert(angle <= pi());
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}
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/**
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Forms the smallest cone that contains the box. Undefined if
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the tip is inside or on the box.
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*/
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Cone::Cone(const Vector3& tip, const Box& box) {
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this->tip = tip;
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this->direction = (box.center() - tip).direction();
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// Find the biggest angle
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float smallestDotProduct = direction.dot((box.corner(0) - tip).direction());
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for (int i = 1; i < 8; ++i) {
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float dp = direction.dot((box.corner(i) - tip).direction());
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debugAssert(dp > 0);
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if (dp < smallestDotProduct) {
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smallestDotProduct = dp;
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}
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}
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angle = acosf(smallestDotProduct);
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}
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bool Cone::intersects(const Sphere& b) const {
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// If the bounding sphere contains the tip, then
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// they definitely touch.
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if (b.contains(this->tip)) {
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return true;
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}
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// Move the tip backwards, effectively making the cone bigger
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// to account for the radius of the sphere.
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Vector3 tip = this->tip - direction * b.radius / sinf(angle);
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return Cone(tip, direction, angle).contains(b.center);
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}
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bool Cone::contains(const Vector3& v) const {
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Vector3 d = (v - tip).direction();
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float x = d.dot(direction);
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return (x > 0) && (x >= cosf(angle));
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}
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}; // namespace
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