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Mike Bostock
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98 changed files with 11750 additions and 0 deletions
301
physics/shape_test.cpp
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301
physics/shape_test.cpp
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// -*- C++ -*-
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#include <iostream>
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#include <math.h>
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#include <stdarg.h>
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#include <stdio.h>
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#include "shape.h"
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using namespace mbostock;
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static int returnCode = 0;
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void assertTrue(bool condition, char* message, ...) {
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if (!condition) {
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va_list args;
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va_start(args, message);
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printf("assertion failed: ");
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vprintf(message, args);
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printf("\n");
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va_end(args);
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}
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}
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static void testLineXYZ() {
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printf("testLineXYZ...\n");
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LineSegment x(Vector(0, 0, 0), Vector(2, 0, 0));
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Projection px = x.project(Vector(1, 1, 0));
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assertTrue(px.length == 1, "px.length");
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assertTrue(px.x == Vector(1, 0, 0), "px.x");
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LineSegment y(Vector(1, 1, 1), Vector(1, 4, 1));
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Projection py = y.project(Vector(2, 1, 1));
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assertTrue(py.length == 1, "py.length");
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assertTrue(py.x == Vector(1, 1, 1), "py.x");
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LineSegment z(Vector(-2, -2, -2), Vector(-2, -2, -4));
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Projection pz = z.project(Vector(-2, -2, -2));
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assertTrue(pz.length == 0, "pz.length");
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assertTrue(pz.x == Vector(-2, -2, -2), "pz.x");
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}
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static void testLineX() {
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printf("testLineX...\n");
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LineSegment x(Vector(0, 0, 0), Vector(2, 0, 0));
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/* Colinear, before x0. */
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Projection p0 = x.project(Vector(-1, 0, 0));
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assertTrue(p0.length == 1, "p0.length");
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assertTrue(p0.x == Vector(0, 0, 0), "p0.x");
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/* Colinear, after x1. */
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Projection p1 = x.project(Vector(3, 0, 0));
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assertTrue(p1.length == 1, "p1.length");
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assertTrue(p1.x == Vector(2, 0, 0), "p1.x");
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/* Colinear, at x0. */
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Projection p2 = x.project(Vector(0, 0, 0));
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assertTrue(p2.length == 0, "p2.length");
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assertTrue(p2.x == Vector(0, 0, 0), "p2.x");
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/* Colinear, at x1. */
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Projection p3 = x.project(Vector(2, 0, 0));
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assertTrue(p3.length == 0, "p3.length");
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assertTrue(p3.x == Vector(2, 0, 0), "p3.x");
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/* Colinear, between x0 and x1. */
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for (float f = 0; f <= 2; f += .1f) {
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Projection p4 = x.project(Vector(f, 0, 0));
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assertTrue(p4.length == 0, "p4.length");
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assertTrue(p4.x == Vector(f, 0, 0), "p4.x");
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}
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/* Noncolinear, before x0. */
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Projection p5 = x.project(Vector(-1, -1, -1));
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assertTrue(p5.length == sqrtf(3), "p5.length");
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assertTrue(p5.x == Vector(0, 0, 0), "p5.x");
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/* Noncolinear, after x1. */
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Projection p6 = x.project(Vector(3, 1, 1));
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assertTrue(p6.length == sqrtf(3), "p6.length");
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assertTrue(p6.x == Vector(2, 0, 0), "p6.x");
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/* Noncolinear, between x0 and x1. */
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Projection p7 = x.project(Vector(1, 1, 1));
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assertTrue(p7.length == sqrtf(2), "p7.length");
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assertTrue(p7.x == Vector(1, 0, 0), "p7.x");
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}
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static void testPlaneXYZ() {
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printf("testPlaneXYZ...\n");
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Plane xz(Vector(0, 0, 0), Vector(0, 1, 0));
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Projection pxz = xz.project(Vector(1, 2, 3));
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assertTrue(pxz.length == 2, "pxz.length");
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assertTrue(pxz.x == Vector(1, 0, 3), "pxz.x");
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Plane xy(Vector(0, 0, 0), Vector(0, 0, 1));
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Projection pxy = xy.project(Vector(1, 2, 3));
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assertTrue(pxy.length == 3, "pxy.length");
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assertTrue(pxy.x == Vector(1, 2, 0), "pxy.x");
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Plane yz(Vector(0, 0, 0), Vector(1, 0, 0));
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Projection pyz = yz.project(Vector(1, 2, 3));
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assertTrue(pyz.length == 1, "pyz.length");
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assertTrue(pyz.x == Vector(0, 2, 3), "pyz.x");
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Projection pyz2 = yz.project(Vector(-1, 2, 3));
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assertTrue(pyz2.length == 1, "pyz2.length");
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assertTrue(pyz2.x == Vector(0, 2, 3), "pyz2.x");
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}
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static void testTriangle() {
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printf("testTriangle...\n");
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Triangle xy(Vector(1, 0, 0), Vector(0, 1, 0), Vector(0, 0, 0));
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assertTrue(xy.normal() == Vector(0, 0, 1), "xy.normal");
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/* At x0. */
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Projection p0 = xy.project(Vector(0, 0, 0));
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assertTrue(p0.length == 0, "p0.length");
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assertTrue(p0.x == Vector(0, 0, 0), "p0.x");
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/* At x1. */
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Projection p1 = xy.project(Vector(0, 1, 0));
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assertTrue(p1.length == 0, "p1.length");
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assertTrue(p1.x == Vector(0, 1, 0), "p1.x");
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/* At x2. */
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Projection p2 = xy.project(Vector(1, 0, 0));
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assertTrue(p2.length == 0, "p2.length");
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assertTrue(p2.x == Vector(1, 0, 0), "p2.x");
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/* In the plane of the triangle, x < x0. */
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Projection p3 = xy.project(Vector(-1, 0, 0));
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assertTrue(p3.length == 1, "p3.length");
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assertTrue(p3.x == Vector(0, 0, 0), "p3.x");
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/* In the plane of the triangle, x > x2. */
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Projection p4 = xy.project(Vector(2, 0, 0));
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assertTrue(p4.length == 1, "p4.length");
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assertTrue(p4.x == Vector(1, 0, 0), "p4.x");
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/* In the plane of the triangle, x = x2, y = x1. */
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Projection p5 = xy.project(Vector(1, 1, 0));
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assertTrue(p5.length == sqrtf(2) / 2, "p5.length");
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assertTrue(p5.x == Vector(.5, .5, 0), "p5.x");
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/* In front of the triangle (+z). */
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Projection p6 = xy.project(Vector(.3, .3, 1));
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assertTrue(p6.length == 1, "p6.length");
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assertTrue(p6.x == Vector(.3, .3, 0), "p6.x");
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}
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static void testQuad() {
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printf("testQuad...\n");
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Quad xy(Vector(0, 0, 0), Vector(1, 0, 0), Vector(1, 1, 0), Vector(0, 1, 0));
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assertTrue(xy.normal() == Vector(0, 0, 1), "xy.normal");
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/* At x0. */
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Projection p0 = xy.project(Vector(0, 0, 0));
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assertTrue(p0.length == 0, "p0.length");
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assertTrue(p0.x == Vector(0, 0, 0), "p0.x");
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/* At x1. */
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Projection p1 = xy.project(Vector(0, 1, 0));
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assertTrue(p1.length == 0, "p1.length");
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assertTrue(p1.x == Vector(0, 1, 0), "p1.x");
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/* At x2. */
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Projection p2 = xy.project(Vector(1, 0, 0));
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assertTrue(p2.length == 0, "p2.length");
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assertTrue(p2.x == Vector(1, 0, 0), "p2.x");
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/* In the plane of the quad, x < x0. */
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Projection p3 = xy.project(Vector(-1, 0, 0));
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assertTrue(p3.length == 1, "p3.length");
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assertTrue(p3.x == Vector(0, 0, 0), "p3.x");
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/* In the plane of the quad, x > x2. */
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Projection p4 = xy.project(Vector(2, 0, 0));
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assertTrue(p4.length == 1, "p4.length");
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assertTrue(p4.x == Vector(1, 0, 0), "p4.x");
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/* In the plane of the quad, x = x2, y = x1. */
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Projection p5 = xy.project(Vector(2, 2, 0));
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assertTrue(p5.length == sqrtf(2), "p5.length");
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assertTrue(p5.x == Vector(1, 1, 0), "p5.x");
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/* In the plane of the quad. */
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Projection p6 = xy.project(Vector(.5, .5, 0));
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assertTrue(p6.length == 0, "p6.length");
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assertTrue(p6.x == Vector(.5, .5, 0), "p6.x");
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/* In front of the quad (+z). */
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Projection p7 = xy.project(Vector(.3, .3, 1));
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assertTrue(p7.length == 1, "p7.length");
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assertTrue(p7.x == Vector(.3, .3, 0), "p6.x");
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}
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static void testRamp() {
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printf("testRamp...\n");
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Wedge r(Vector(-1, 0, .5),
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Vector(-.5, .25, .5),
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Vector(-.5, .25, -.5),
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Vector(-1, 0, -.5));
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Projection p0 = r.project(Vector(-0.694026, 0.05, 0.35));
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assertTrue(p0.length > 0, "p0.length");
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}
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static void testCylinderIntersects() {
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std::cout << "testCylinderIntersects...\n";
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Cylinder c(Vector(0, 0, 0), Vector(0, 2, 0), 1);
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Sphere s1(Vector(0, 3.1, 0), 1);
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assertTrue(!c.intersects(s1), "c.intersects(s1)");
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Sphere s2(Vector(0, 2.9, 0), 1);
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assertTrue(c.intersects(s2), "c.intersects(s2)");
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Sphere s3(Vector(0, 3, 0), .9);
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assertTrue(!c.intersects(s3), "c.intersects(s3)");
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Sphere s4(Vector(0, 3, 0), 1.1);
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assertTrue(c.intersects(s4), "c.intersects(s4)");
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Sphere s5(Vector(0, -1.1, 0), 1);
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assertTrue(!c.intersects(s5), "c.intersects(s5)");
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Sphere s6(Vector(0, -.9, 0), 1);
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assertTrue(c.intersects(s6), "c.intersects(s6)");
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Sphere s7(Vector(0, -1, 0), .9);
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assertTrue(!c.intersects(s7), "c.intersects(s7)");
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Sphere s8(Vector(0, -1, 0), 1.1);
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assertTrue(c.intersects(s8), "c.intersects(s8)");
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Sphere s9(Vector(2, 1, 0), .9);
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assertTrue(!c.intersects(s9), "c.intersects(s9)");
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Sphere s10(Vector(2, 1, 0), 1.1);
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assertTrue(c.intersects(s10), "c.intersects(s10)");
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Sphere s11(Vector(-2, 1, 0), .9);
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assertTrue(!c.intersects(s11), "c.intersects(s11)");
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Sphere s12(Vector(-2, 1, 0), 1.1);
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assertTrue(c.intersects(s12), "c.intersects(s12)");
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Sphere s13(Vector(0, 1, 2), .9);
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assertTrue(!c.intersects(s13), "c.intersects(s13)");
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Sphere s14(Vector(0, 1, 2), 1.1);
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assertTrue(c.intersects(s14), "c.intersects(s14)");
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Sphere s15(Vector(0, 1, -2), .9);
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assertTrue(!c.intersects(s15), "c.intersects(s15)");
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Sphere s16(Vector(0, 1, -2), 1.1);
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assertTrue(c.intersects(s16), "c.intersects(s16)");
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}
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static void testCylinderProject() {
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std::cout << "testCylinderProject...\n";
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Cylinder c(Vector(0, 0, 0), Vector(0, 2, 0), 1);
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Projection j1 = c.project(Vector(0, 3.1, 0));
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assertTrue(Vector(0, 2, 0) == j1.x, "c.project(p1).x");
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assertTrue(j1.length > 1.f && j1.length < 1.2f, "c.project(p1).length");
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assertTrue(Vector(0, 1, 0) == j1.normal, "c.project(p1).normal");
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Projection j2 = c.project(Vector(0, -1.1, 0));
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assertTrue(Vector(0, 0, 0) == j2.x, "c.project(p2).x");
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assertTrue(j2.length > 1.f && j2.length < 1.2f, "c.project(p2).length");
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assertTrue(Vector(0, -1, 0) == j2.normal, "c.project(p2).normal");
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Projection j3 = c.project(Vector(2.1, 1, 0));
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assertTrue(Vector(1, 1, 0) == j3.x, "c.project(p3).x");
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assertTrue(j3.length > 1.f && j3.length < 1.2f, "c.project(p3).length");
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assertTrue(Vector(1, 0, 0) == j3.normal, "c.project(p3).normal");
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Projection j4 = c.project(Vector(-2.1, 1, 0));
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assertTrue(Vector(-1, 1, 0) == j4.x, "c.project(p4).x");
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assertTrue(j4.length > 1.f && j4.length < 1.2f, "c.project(p4).length");
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assertTrue(Vector(-1, 0, 0) == j4.normal, "c.project(p4).normal");
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}
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int main(int argc, char** argv) {
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testLineXYZ();
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testLineX();
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testPlaneXYZ();
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testTriangle();
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testQuad();
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testRamp();
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testCylinderIntersects();
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testCylinderProject();
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return returnCode;
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}
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