/
low_structures_test.go
419 lines (388 loc) · 14.1 KB
/
low_structures_test.go
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package sudoku
import (
"image"
"math"
"testing"
"github.com/stretchr/testify/assert"
)
const thetaDelta = 0.00001
func TestSimilarAngles(t *testing.T) {
var examples = []struct {
a float64
b float64
similar bool
}{
{0.0, 0.0, true},
{0.0, 0.49, true},
{0.0, 0.50, false},
{0.0, -0.49, true},
{0.0, -0.50, false},
{2 * math.Pi, 0.0, true},
{2 * math.Pi, 2 * math.Pi, true},
{2 * math.Pi, 0.49, true},
{2 * math.Pi, 0.50, false},
{2 * math.Pi, -0.49, true},
{2 * math.Pi, -0.50, false},
{0.0, 2 * math.Pi, true},
{0.0, 2*math.Pi + 0.49, true},
{0.0, 2*math.Pi + 0.50, false},
{0.0, 2*math.Pi - 0.49, true},
{0.0, 2*math.Pi - 0.50, false},
{0.0, 3 * math.Pi, false},
{0.0, 4 * math.Pi, true},
{0.0, 4*math.Pi + 0.49, true},
{0.0, 4*math.Pi + 0.50, false},
{0.0, 4*math.Pi - 0.49, true},
{0.0, 4*math.Pi - 0.50, false},
{1.0, 1.0, true},
{1.0, 1.49, true},
{1.0, 1.50, false},
{1.0, 1 - 0.49, true},
{1.0, 1 - 0.50, false},
{2 * math.Pi, 4 * math.Pi, true},
{math.Pi, math.Pi, true},
{math.Pi / 2, math.Pi, false},
}
for _, tt := range examples {
isSimilar := similarAngles(tt.a, tt.b)
assert.Equal(t, tt.similar, isSimilar, "Angles: %f and %f. Exect %v got %v instead", tt.a, tt.b, tt.similar, isSimilar)
}
}
func TestIntersections(t *testing.T) {
var examples = []struct {
a polarLine
b polarLine
ok bool
solution image.Point
}{
{polarLine{Theta: 0.000000, Distance: 10}, polarLine{Theta: 1.570796, Distance: 10}, true, image.Point{10, 10}},
{polarLine{Theta: 0.000000, Distance: 10}, polarLine{Theta: 0.785398, Distance: 148}, true, image.Point{10, 199}},
{polarLine{Theta: 0.000000, Distance: 10}, polarLine{Theta: 0.453786, Distance: 184}, true, image.Point{10, 399}},
{polarLine{Theta: 0.000000, Distance: 10}, polarLine{Theta: 1.117011, Distance: 184}, true, image.Point{10, 200}},
{polarLine{Theta: 0.000000, Distance: 10}, polarLine{Theta: 0.785398, Distance: 290}, true, image.Point{10, 400}},
{polarLine{Theta: 0.785398, Distance: 148}, polarLine{Theta: 1.117011, Distance: 184}, true, image.Point{9, 200}},
{polarLine{Theta: 0.785398, Distance: 148}, polarLine{Theta: 0.785399, Distance: 290}, true, image.Point{-100409041, 100409284}}, // lines are almost parallel
{polarLine{Theta: 0.000000, Distance: 10}, polarLine{Theta: 0.000000, Distance: 20}, false, image.Point{0, 0}}, // no solution, lines are parallel
{polarLine{Theta: 0.000000, Distance: 10}, polarLine{Theta: 0.000000, Distance: 10}, false, image.Point{0, 0}}, // no solution, lines are parallel
{polarLine{Theta: 0.785398, Distance: 148}, polarLine{Theta: 0.785398, Distance: 290}, false, image.Point{0, 0}}, // no solution, lines are parallel
}
for _, tt := range examples {
ok, point := intersection(tt.a, tt.b)
format := "Intersection between %v and %v"
assert.Equal(t, tt.ok, ok, format, tt.a, tt.b)
assert.Equal(t, tt.solution.X, point.X, format, tt.a, tt.b)
assert.Equal(t, tt.solution.Y, point.Y, format, tt.a, tt.b)
}
}
func TestPointDistince(t *testing.T) {
var examples = []struct {
a image.Point
b image.Point
distance float64
}{
{image.Point{0, 0}, image.Point{1, 1}, math.Sqrt(2)},
{image.Point{1, 1}, image.Point{2, 2}, math.Sqrt(2)},
{image.Point{0, 0}, image.Point{1, 2}, math.Sqrt(5)},
{image.Point{-1, -1}, image.Point{1, 1}, math.Sqrt(8)},
}
for _, tt := range examples {
distanceA := distanceBetweenPoints(tt.a, tt.b)
distanceB := distanceBetweenPoints(tt.b, tt.a)
assert.Equal(t, distanceA, distanceB)
assert.Equal(t, tt.distance, distanceA)
assert.Equal(t, tt.distance, distanceB)
}
}
func TestRemoveDuplicateLines(t *testing.T) {
var examples = []struct {
pre []polarLine
post []polarLine
width int
height int
}{
{
pre: []polarLine{polarLine{0.000000, 10, 0}, polarLine{1.570796, 10, 0}},
post: []polarLine{polarLine{0.000000, 10, 0}, polarLine{1.570796, 10, 0}},
width: 300, height: 300,
}, // Angle too different
{
pre: []polarLine{polarLine{1.570796, 100, 0}, polarLine{1.50000, 102, 0}, polarLine{1.50000, 98, 0}},
post: []polarLine{polarLine{1.570796, 100, 0}},
width: 300, height: 300,
}, // Similar angle, close to each other (middle one)
{
pre: []polarLine{polarLine{1.570796, 100, 0}, polarLine{1.605703, 104, 0}},
post: []polarLine{polarLine{1.570796, 100, 0}},
width: 300, height: 300,
}, // Similar angles, crossing somewhere in view (-115, 100) vs [(-150, 450), (-150, 450)]
{
pre: []polarLine{polarLine{1.570796, 100, 0}, polarLine{1.605703, 104, 0}},
post: []polarLine{polarLine{1.570796, 100, 0}, polarLine{1.605703, 104, 0}},
width: 200, height: 200,
}, // Similar angles, crossing outside in view (-115, 100) vs [(-100, 300), (-100, 300)]
}
for _, tt := range examples {
post := removeDuplicateLines(tt.pre, tt.width, tt.height)
assert.Len(t, post, len(tt.post))
}
}
func TestGenerateAngleBuckets(t *testing.T) {
var examples = []struct {
bucketSize uint
step uint
ortogonal bool
expected map[int][]angleBucket
}{
{
60, 30, false,
map[int][]angleBucket{
0: {angleBucket{-30, 30}, angleBucket{150, 180}},
30: {angleBucket{0, 60}},
60: {angleBucket{30, 90}},
90: {angleBucket{60, 120}},
120: {angleBucket{90, 150}},
150: {angleBucket{120, 180}},
},
},
{
60, 30, true,
map[int][]angleBucket{
0: {angleBucket{-30, 30}, angleBucket{150, 180}, angleBucket{60, 120}},
30: {angleBucket{0, 60}, angleBucket{90, 150}},
60: {angleBucket{30, 90}, angleBucket{120, 180}},
},
},
{
20, 5, true,
map[int][]angleBucket{
0: {angleBucket{-10, 10}, angleBucket{170, 180}, angleBucket{80, 100}},
5: {angleBucket{-5, 15}, angleBucket{175, 180}, angleBucket{85, 105}},
10: {angleBucket{0, 20}, angleBucket{90, 110}},
15: {angleBucket{5, 25}, angleBucket{95, 115}},
20: {angleBucket{10, 30}, angleBucket{100, 120}},
25: {angleBucket{15, 35}, angleBucket{105, 125}},
30: {angleBucket{20, 40}, angleBucket{110, 130}},
35: {angleBucket{25, 45}, angleBucket{115, 135}},
40: {angleBucket{30, 50}, angleBucket{120, 140}},
45: {angleBucket{35, 55}, angleBucket{125, 145}},
50: {angleBucket{40, 60}, angleBucket{130, 150}},
55: {angleBucket{45, 65}, angleBucket{135, 155}},
60: {angleBucket{50, 70}, angleBucket{140, 160}},
65: {angleBucket{55, 75}, angleBucket{145, 165}},
70: {angleBucket{60, 80}, angleBucket{150, 170}},
75: {angleBucket{65, 85}, angleBucket{155, 175}},
80: {angleBucket{70, 90}, angleBucket{160, 180}},
85: {angleBucket{75, 95}, angleBucket{165, 185}, angleBucket{0, 5}},
},
},
{
20, 5, false,
map[int][]angleBucket{
0: {angleBucket{-10, 10}, angleBucket{170, 180}},
5: {angleBucket{-5, 15}, angleBucket{175, 180}},
10: {angleBucket{0, 20}},
15: {angleBucket{5, 25}},
20: {angleBucket{10, 30}},
25: {angleBucket{15, 35}},
30: {angleBucket{20, 40}},
35: {angleBucket{25, 45}},
40: {angleBucket{30, 50}},
45: {angleBucket{35, 55}},
50: {angleBucket{40, 60}},
55: {angleBucket{45, 65}},
60: {angleBucket{50, 70}},
65: {angleBucket{55, 75}},
70: {angleBucket{60, 80}},
75: {angleBucket{65, 85}},
80: {angleBucket{70, 90}},
85: {angleBucket{75, 95}},
90: {angleBucket{80, 100}},
95: {angleBucket{85, 105}},
100: {angleBucket{90, 110}},
105: {angleBucket{95, 115}},
110: {angleBucket{100, 120}},
115: {angleBucket{105, 125}},
120: {angleBucket{110, 130}},
125: {angleBucket{115, 135}},
130: {angleBucket{120, 140}},
135: {angleBucket{125, 145}},
140: {angleBucket{130, 150}},
145: {angleBucket{135, 155}},
150: {angleBucket{140, 160}},
155: {angleBucket{145, 165}},
160: {angleBucket{150, 170}},
165: {angleBucket{155, 175}},
170: {angleBucket{160, 180}},
175: {angleBucket{165, 185}, angleBucket{0, 5}},
},
},
}
for _, tt := range examples {
buckets := generateAngleBuckets(tt.bucketSize, tt.step, tt.ortogonal)
if !assert.Len(t, buckets, len(tt.expected)) {
t.FailNow()
}
for k, v := range buckets {
kDeg := int(k*180/math.Pi + 0.5)
assert.Contains(t, tt.expected, kDeg)
if !assert.Len(t, v, len(tt.expected[kDeg])) {
t.FailNow()
}
for i, bucket := range v {
assert.InDelta(t, tt.expected[kDeg][i].Start, bucket.Start*180/math.Pi, thetaDelta)
assert.InDelta(t, tt.expected[kDeg][i].End, bucket.End*180/math.Pi, thetaDelta)
}
}
}
}
func TestLinesWithSimilarAngle(t *testing.T) {
examples := []struct {
angle float64
lines []polarLine
similar []polarLine
other []polarLine
}{
{
angle: 0,
lines: []polarLine{polarLine{Theta: 0, Distance: 1}, polarLine{Theta: 0, Distance: 1000}, polarLine{Theta: 0.49}, polarLine{Theta: 0.5}, polarLine{Theta: -0.49}, polarLine{Theta: -0.5}},
similar: []polarLine{polarLine{Theta: 0, Distance: 1}, polarLine{Theta: 0, Distance: 1000}, polarLine{Theta: 0.49}, polarLine{Theta: -0.49}},
other: []polarLine{polarLine{Theta: 0.5}, polarLine{Theta: -0.5}},
},
{
angle: 2 * math.Pi,
lines: []polarLine{polarLine{Theta: 0, Distance: 1}, polarLine{Theta: 0, Distance: 1000}, polarLine{Theta: 0.49}, polarLine{Theta: 0.5}, polarLine{Theta: -0.49}, polarLine{Theta: -0.5}},
similar: []polarLine{polarLine{Theta: 0, Distance: 1}, polarLine{Theta: 0, Distance: 1000}, polarLine{Theta: 0.49}, polarLine{Theta: -0.49}},
other: []polarLine{polarLine{Theta: 0.5}, polarLine{Theta: -0.5}},
},
{
angle: math.Pi,
lines: []polarLine{polarLine{Theta: math.Pi + 0, Distance: 1}, polarLine{Theta: math.Pi + 0, Distance: 1000}, polarLine{Theta: math.Pi + 0.49}, polarLine{Theta: math.Pi + 0.5}, polarLine{Theta: math.Pi - 0.49}, polarLine{Theta: math.Pi - 0.5}},
similar: []polarLine{polarLine{Theta: math.Pi + 0, Distance: 1}, polarLine{Theta: math.Pi + 0, Distance: 1000}, polarLine{Theta: math.Pi + 0.49}, polarLine{Theta: math.Pi - 0.49}},
other: []polarLine{polarLine{Theta: math.Pi + 0.5}, polarLine{Theta: math.Pi - 0.5}},
},
{
angle: math.Pi,
lines: []polarLine{polarLine{Theta: 0, Distance: 1}, polarLine{Theta: 0, Distance: 1000}, polarLine{Theta: 0.49}, polarLine{Theta: 0.5}, polarLine{Theta: -0.49}, polarLine{Theta: -0.5}},
similar: []polarLine{},
other: []polarLine{polarLine{Theta: 0, Distance: 1}, polarLine{Theta: 0, Distance: 1000}, polarLine{Theta: 0.49}, polarLine{Theta: 0.5}, polarLine{Theta: -0.49}, polarLine{Theta: -0.5}},
},
{
angle: 0,
lines: []polarLine{polarLine{Theta: 0, Distance: 1}, polarLine{Theta: 0, Distance: 1000}, polarLine{Theta: 0.49}, polarLine{Theta: -0.49}},
similar: []polarLine{polarLine{Theta: 0, Distance: 1}, polarLine{Theta: 0, Distance: 1000}, polarLine{Theta: 0.49}, polarLine{Theta: -0.49}},
other: []polarLine{},
},
}
for _, tt := range examples {
similar, other := linesWithSimilarAngle(tt.lines, tt.angle)
if !assert.Len(t, similar, len(tt.similar)) {
t.Logf("Got:\n%v\nexpecting:\n%v", similar, tt.similar)
t.FailNow()
}
for i, line := range similar {
assert.InDelta(t, tt.similar[i].Theta, line.Theta, thetaDelta)
assert.Equal(t, tt.similar[i].Distance, line.Distance)
}
if !assert.Len(t, other, len(tt.other)) {
t.Logf("Got:\n%v\nexpecting:\n%v", similar, tt.similar)
t.FailNow()
}
for i, line := range other {
assert.InDelta(t, tt.other[i].Theta, line.Theta, thetaDelta)
assert.Equal(t, tt.other[i].Distance, line.Distance)
}
}
}
func TestPutLinesIntoBuckets(t *testing.T) {
buckets := map[float64][]angleBucket{
0.0: {angleBucket{-0.1, 0.1}, angleBucket{math.Pi - 0.1, math.Pi + 0.1}},
1.0: {angleBucket{0.9, 1.1}},
}
lines := []polarLine{
polarLine{Theta: 0},
polarLine{Theta: -0.1},
polarLine{Theta: 0.1},
polarLine{Theta: math.Pi},
polarLine{Theta: 1.1},
polarLine{Theta: 100},
polarLine{Theta: -0.11},
polarLine{Theta: 0.11},
}
expected := map[float64][]polarLine{
0.0: {polarLine{Theta: 0}, polarLine{Theta: -0.1}, polarLine{Theta: 0.1}, polarLine{Theta: math.Pi}},
1.0: {polarLine{Theta: 1.1}},
}
bucketed := putLinesIntoBuckets(buckets, lines)
assert.Len(t, bucketed, len(expected))
for angle, expected_lines := range expected {
if !assert.Len(t, bucketed[angle], len(expected_lines)) {
t.FailNow()
}
for i, line := range bucketed[angle] {
assert.EqualValues(t, expected_lines[i], line)
}
}
}
func TestPutLinesIntoBucketsDontReuseLinesIfBucketsHaveTheSame(t *testing.T) {
buckets := map[float64][]angleBucket{
1.0: {angleBucket{0, 2}},
2.0: {angleBucket{1, 3}},
}
lines := []polarLine{
polarLine{Theta: 1},
polarLine{Theta: 1.1},
}
bucketed := putLinesIntoBuckets(buckets, lines)
assert.Len(t, bucketed, 1) // it will be either 1.0 or 2.0, not both
angle := 1.0
if len(bucketed[angle]) == 0 {
angle = 2.0
}
for i, line := range bucketed[angle] {
assert.EqualValues(t, lines[i], line)
}
}
func TestPutLinesIntoBucketsReuseLineIfBucketsHaveSlightlyDifferent(t *testing.T) {
buckets := map[float64][]angleBucket{
1.0: {angleBucket{0, 2}},
2.0: {angleBucket{1, 3}},
}
lines := []polarLine{
polarLine{Theta: 1},
polarLine{Theta: 1.1},
polarLine{Theta: 2.1},
}
expected := map[float64][]polarLine{
1.0: {polarLine{Theta: 1}, polarLine{Theta: 1.1}},
2.0: {polarLine{Theta: 1}, polarLine{Theta: 1.1}, polarLine{Theta: 2.1}},
}
bucketed := putLinesIntoBuckets(buckets, lines)
assert.Len(t, bucketed, len(expected))
for angle, expected_lines := range expected {
if !assert.Len(t, bucketed[angle], len(expected_lines)) {
t.FailNow()
}
for i, line := range bucketed[angle] {
assert.EqualValues(t, expected_lines[i], line)
}
}
}
func TestPointsOnFragment(t *testing.T) {
examples := []struct {
fragment lineFragment
points []image.Point
}{
{
lineFragment{Start: image.Point{0, 0}, End: image.Point{5, 5}},
[]image.Point{{0, 0}, {1, 1}, {2, 2}, {3, 3}, {4, 4}, {5, 5}},
},
{
lineFragment{Start: image.Point{0, 1}, End: image.Point{6, 4}},
[]image.Point{{0, 1}, {1, 1}, {2, 2}, {3, 2}, {4, 3}, {5, 3}, {6, 4}},
},
}
for _, tt := range examples {
points := pointsOnLineFragment(tt.fragment)
assert.EqualValues(t, tt.points, points)
}
}