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ray_test.go
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ray_test.go
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package geo
import (
"math"
"testing"
)
func TestRayString(t *testing.T) {
r := Ray{VecXY(1.2, 3.4), VecXY(4.6, 7.8)}
got := r.String()
want := "Ray(Vec(1.2, 3.4), Vec(4.6, 7.8))"
if got != want {
t.Errorf("got %s, want %s", got, want)
}
}
func TestRayAt(t *testing.T) {
cases := []struct {
r Ray
t float64
want Vec
}{
{Ray{VecXY(0, 0), VecXY(0, 1)}, 5, VecXY(0, 5)},
{Ray{VecXY(0, 0), VecXY(-2, 0)}, 5, VecXY(-5, 0)},
{Ray{VecXY(10, -5), VecXY(2, 2)}, 2 * math.Sqrt2, VecXY(12, -3)},
{Ray{VecXY(10, -5), VecXY(0, 0)}, 5, VecXY(10, -5)},
}
for i, c := range cases {
got := c.r.At(c.t)
if !got.Equals(c.want, e) {
t.Errorf("case %d: got %s, want %s", i, got, c.want)
}
}
}
func TestRayAngle(t *testing.T) {
cases := []struct {
origin Vec
rad float64
want Ray
}{
{VecXY(0, 0), 0, Ray{VecXY(0, 0), VecXY(1, 0)}},
{VecXY(0, 0), math.Pi / 2, Ray{VecXY(0, 0), VecXY(0, -1)}},
{VecXY(0, 0), math.Pi, Ray{VecXY(0, 0), VecXY(-1, 0)}},
{VecXY(1, -1), math.Pi / 2, Ray{VecXY(1, -1), VecXY(0, -1)}},
}
for i, c := range cases {
got := RayAngle(c.origin, c.rad)
if !got.Origin.Equals(c.want.Origin, e) || !got.Direction.Equals(c.want.Direction, e) {
t.Errorf("case %d: got %s, want %s", i, got, c.want)
}
}
}
func TestRayIntersectCircle(t *testing.T) {
circ := CircleXYR(2, 2, 3)
caseAngleT := VecXY(circ.PointAt(3 * math.Pi / 4)).Dist(VecXY(-4, -4))
type res struct {
tMin, tMax float64
hit bool
}
cases := []struct {
r Ray
c Circle
want res
}{
// From the left
{Ray{VecXY(-6, 2), VecXY(1, 0)}, circ, res{5, 11, true}},
{Ray{VecXY(-6, 2), VecXY(-1, 0)}, circ, res{-11, -5, true}},
{Ray{VecXY(-6, 2), VecXY(0, 1)}, circ, res{0, 0, false}},
// From the right
{Ray{VecXY(11, 2), VecXY(-1, 0)}, circ, res{6, 12, true}},
{Ray{VecXY(11, 2), VecXY(1, 0)}, circ, res{-12, -6, true}},
{Ray{VecXY(11, 2), VecXY(0, -1)}, circ, res{0, 0, false}},
// Tangent
{Ray{VecXY(5, 8), VecXY(0, -1)}, circ, res{0, 0, false}},
// Angle
{Ray{VecXY(-4, -4), VecXY(1, 1)}, circ, res{caseAngleT, caseAngleT + circ.Diameter(), true}},
}
for i, c := range cases {
gotTMin, gotTMax, gotHit := c.r.IntersectCircle(c.c)
if !fEqual(gotTMin, c.want.tMin) || !fEqual(gotTMax, c.want.tMax) || gotHit != c.want.hit {
t.Errorf("case %d: gotTMin %f, gotTMax %f, gotHit %v, want %v", i, gotTMin, gotTMax,
gotHit, c.want)
}
}
}
func TestRayIntersectRect(t *testing.T) {
rect := RectXYWH(-1, -2, 6, 7)
type res struct {
tMin, tMax float64
hit bool
}
cases := []struct {
r Ray
rect Rect
want res
}{
// From the left
{Ray{VecXY(-6, 2), VecXY(1, 0)}, rect, res{5, 11, true}},
{Ray{VecXY(-6, 2), VecXY(-1, 0)}, rect, res{-11, -5, true}},
{Ray{VecXY(-6, 2), VecXY(0, 1)}, rect, res{0, 0, false}},
// From the right
{Ray{VecXY(11, 2), VecXY(-1, 0)}, rect, res{6, 12, true}},
{Ray{VecXY(11, 2), VecXY(1, 0)}, rect, res{-12, -6, true}},
{Ray{VecXY(11, 2), VecXY(0, -1)}, rect, res{0, 0, false}},
// Tangent
{Ray{VecXY(5, 8), VecXY(0, -1)}, rect, res{0, 0, false}},
// Angle
{Ray{VecXY(-1, -5), VecXY(1, 1)}, rect, res{3 * math.Sqrt2, 6 * math.Sqrt2, true}},
}
for i, c := range cases {
gotTMin, gotTMax, gotHit := c.r.IntersectRect(c.rect)
if !gotHit && !c.want.hit {
// ignore t values for misses
continue
}
if !fEqual(gotTMin, c.want.tMin) || !fEqual(gotTMax, c.want.tMax) || gotHit != c.want.hit {
t.Errorf("case %d: gotTMin %f, gotTMax %f, gotHit %v, want %v", i, gotTMin, gotTMax,
gotHit, c.want)
}
}
}
func TestRayIntersectLine(t *testing.T) {
type res struct {
t float64
hit bool
}
cases := []struct {
r Ray
v1, v2 Vec
want res
}{
// Hit
{Ray{VecXY(-4, -2), VecXY(1, 0)}, VecXY(-1, -3), VecXY(9, 2), res{5, true}},
{Ray{VecXY(-4, -2), VecXY(-1, 0)}, VecXY(-1, -3), VecXY(9, 2), res{-5, true}},
// Miss
{Ray{VecXY(6, 4), VecXY(1, 0)}, VecXY(-1, -3), VecXY(9, 2), res{7, false}},
{Ray{VecXY(6, 4), VecXY(-1, 0)}, VecXY(-1, -3), VecXY(9, 2), res{-7, false}},
// Perpendicular
{Ray{VecXY(1, 3), VecXY(1, -2)}, VecXY(-1, -3), VecXY(9, 2), res{math.Hypot(2, 4), true}},
{Ray{VecXY(1, 3), VecXY(-1, 2)}, VecXY(-1, -3), VecXY(9, 2), res{-math.Hypot(2, 4), true}},
// Parallel
{Ray{VecXY(8, -2), VecXY(2, 1)}, VecXY(-1, -3), VecXY(9, 2), res{math.Inf(-1), false}},
{Ray{VecXY(8, -2), VecXY(-2, -1)}, VecXY(-1, -3), VecXY(9, 2), res{math.Inf(-1), false}},
{Ray{VecXY(-8, 2), VecXY(2, 1)}, VecXY(-1, -3), VecXY(9, 2), res{math.Inf(1), false}},
{Ray{VecXY(-8, 2), VecXY(-2, -1)}, VecXY(-1, -3), VecXY(9, 2), res{math.Inf(1), false}},
{Ray{VecXY(-1, -1), VecXY(1, -1)}, VecXY(-1, 1), VecXY(1, -1), res{math.Inf(-1), false}},
{Ray{VecXY(-1, -1), VecXY(-1, 1)}, VecXY(-1, 1), VecXY(1, -1), res{math.Inf(-1), false}},
{Ray{VecXY(1, 1), VecXY(1, -1)}, VecXY(-1, 1), VecXY(1, -1), res{math.Inf(1), false}},
{Ray{VecXY(1, 1), VecXY(-1, 1)}, VecXY(-1, 1), VecXY(1, -1), res{math.Inf(1), false}},
// Vertical line
// Hit
{Ray{VecXY(-5, 2), VecXY(1, -1)}, VecXY(-3, 3), VecXY(-3, -3), res{2 * math.Sqrt2, true}},
{Ray{VecXY(-5, 2), VecXY(-1, 1)}, VecXY(-3, 3), VecXY(-3, -3), res{-2 * math.Sqrt2, true}},
{Ray{VecXY(-1, 2), VecXY(-1, -1)}, VecXY(-3, 3), VecXY(-3, -3), res{2 * math.Sqrt2, true}},
{Ray{VecXY(-1, 2), VecXY(1, 1)}, VecXY(-3, 3), VecXY(-3, -3), res{-2 * math.Sqrt2, true}},
// Miss
{Ray{VecXY(-3, 5), VecXY(1, 0)}, VecXY(-3, 3), VecXY(-3, -3), res{0, false}},
{Ray{VecXY(-2, 6), VecXY(-1, -1)}, VecXY(-3, 3), VecXY(-3, -3), res{math.Sqrt2, false}},
// Perpendicular
{Ray{VecXY(3, -2), VecXY(-1, 0)}, VecXY(-3, 3), VecXY(-3, -3), res{6, true}},
{Ray{VecXY(3, -2), VecXY(1, 0)}, VecXY(-3, 3), VecXY(-3, -3), res{-6, true}},
// Parallel
{Ray{VecXY(-5, -2), VecXY(0, 1)}, VecXY(-3, 3), VecXY(-3, -3), res{math.Inf(1), false}},
{Ray{VecXY(-5, -2), VecXY(0, -1)}, VecXY(-3, 3), VecXY(-3, -3), res{math.Inf(-1), false}},
{Ray{VecXY(-1, -4), VecXY(0, 1)}, VecXY(-3, 3), VecXY(-3, -3), res{math.Inf(-1), false}},
{Ray{VecXY(-1, -4), VecXY(0, -1)}, VecXY(-3, 3), VecXY(-3, -3), res{math.Inf(1), false}},
// Horizontal line
{Ray{VecXY(0, -2), VecXY(1, 0)}, VecXY(-3, 0), VecXY(3, 0), res{math.Inf(-1), false}},
{Ray{VecXY(0, -2), VecXY(-1, 0)}, VecXY(-3, 0), VecXY(3, 0), res{math.Inf(1), false}},
{Ray{VecXY(0, 2), VecXY(1, 0)}, VecXY(-3, 0), VecXY(3, 0), res{math.Inf(1), false}},
{Ray{VecXY(0, 2), VecXY(-1, 0)}, VecXY(-3, 0), VecXY(3, 0), res{math.Inf(-1), false}},
}
for i, c := range cases {
gotT, gotHit := c.r.IntersectLine(c.v1, c.v2)
if !fEqual(gotT, c.want.t) || gotHit != c.want.hit {
t.Errorf("case %d: gotT %f, gotHit %v, want %v", i, gotT, gotHit, c.want)
}
}
}