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nvector_test.go
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nvector_test.go
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package nvector
import (
"fmt"
"math"
"testing"
"os"
"encoding/csv"
"strconv"
)
func isclose(a, b float64, places int32) bool {
var tol float64
tol = math.Pow(10, -float64(places))
res := math.Abs(a-b) < tol
if !res {
fmt.Printf("%f != %f (to %d places)\n", a, b, places)
}
return res
}
func TestNewLonLatSimple(t *testing.T) {
lonlat, err := NewLonLat(-140.0, 49.25)
if err != nil {
t.Error()
}
if math.Abs(lonlat.Lat-0.8595746566072073) > 0.0000000001 {
t.Fail()
}
if math.Abs(lonlat.Lon-(-2.443460952792061)) > 0.0000000001 {
t.Fail()
}
}
func TestNewLonLatUnwrap(t *testing.T) {
lonlat, err := NewLonLat(220.0, 49.25)
if err != nil {
t.Error()
}
if math.Abs(lonlat.Lat-0.8595746566072073) > 0.0000000001 {
t.Fail()
}
if math.Abs(lonlat.Lon-(-2.443460952792061)) > 0.0000000001 {
t.Fail()
}
}
func TestNewLonLatInvalid(t *testing.T) {
_, err := NewLonLat(-140.0, 92.0)
if err == nil {
t.Fail()
}
}
func TestLonLatToNVector1(t *testing.T) {
ll, _ := NewLonLat(0.0, 0.0)
nv := ll.ToNVector()
if !isclose(nv.Vec3[0], 1.0, 8) {
t.Fail()
}
if !isclose(nv.Vec3[1], 0.0, 8) {
t.Fail()
}
if !isclose(nv.Vec3[2], 0.0, 8) {
t.Fail()
}
}
func TestLonLatToNVector2(t *testing.T) {
ll, _ := NewLonLat(-45, 0.0)
nv := ll.ToNVector()
if !isclose(nv.Vec3[0], math.Sin(math.Pi/4), 8) {
t.Fail()
}
if !isclose(nv.Vec3[1], -math.Sin(math.Pi/4), 8) {
t.Fail()
}
if !isclose(nv.Vec3[2], 0.0, 8) {
t.Fail()
}
}
func TestLonLatToNVector3(t *testing.T) {
ll, _ := NewLonLat(90.0, 45.0)
nv := ll.ToNVector()
if !isclose(nv.Vec3[0], 0.0, 8) {
t.Fail()
}
if !isclose(nv.Vec3[1], math.Sin(math.Pi/4), 8) {
t.Fail()
}
if !isclose(nv.Vec3[2], math.Sin(math.Pi/4), 8) {
t.Fail()
}
}
func TestNVectorToLonLat(t *testing.T) {
nv := NVector{Vec3{math.Sin(math.Pi/4) * math.Sin(math.Pi/4),
math.Sin(math.Pi/4) * math.Sin(math.Pi/4),
-math.Sin(math.Pi / 4)}}
ll := nv.ToLonLat()
if !isclose(ll.Lon*180/math.Pi, 45, 8) {
t.Fail()
}
if !isclose(ll.Lat*180/math.Pi, -45, 8) {
t.Fail()
}
}
func Test_cross(t *testing.T) {
v1 := Vec3{1, 0, 0}
v2 := Vec3{0, 1, 0}
v3 := cross(&v1, &v2)
if (*v3 != Vec3{0, 0, 1}) {
t.Fail()
}
v4 := Vec3{0, 1, 0}
v5 := Vec3{1, 0, 0}
v6 := cross(&v4, &v5)
if (*v6 != Vec3{0, 0, -1}) {
t.Fail()
}
}
func TestTranspose(t *testing.T) {
var m, mt, mt_ans Matrix3
m = Matrix3{[3]float64{3, 6, -4}, [3]float64{8, -2, -1}, [3]float64{1, 1, 4}}
mt = m.Transpose()
mt_ans = Matrix3{[3]float64{3, 8, 1}, [3]float64{6, -2, 1}, [3]float64{-4, -1, 4}}
if mt != mt_ans {
t.Fail()
}
}
func TestMatMult(t *testing.T) {
var m Matrix3
var v, v2 Vec3
v = Vec3{2, 1, 3}
m = Matrix3{[3]float64{3, 6, -4}, [3]float64{8, -2, -1}, [3]float64{1, 1, 4}}
v2 = m.Mult(&v)
if (v2 != Vec3{0, 11, 15}) {
t.Fail()
}
}
func Test_dot(t *testing.T) {
v1 := Vec3{1, 0, 0}
v2 := Vec3{0, 1, 0}
if dot(&v1, &v2) != 0 {
t.Fail()
}
v3 := Vec3{1, 0.5, 0.25}
v4 := Vec3{0, 1, 4}
if !isclose(dot(&v3, &v4), 1.5, 8) {
t.Fail()
}
}
func TestSphericalDistance1(t *testing.T) {
// meridional
pos1, _ := NewLonLat(-140, 49.25)
pos2, _ := NewLonLat(-140, 48.25)
nv1 := pos1.ToNVector()
nv2 := pos2.ToNVector()
R := 6370997.0
d := nv1.SphericalDistance(&nv2, R)
if !isclose(d, 111194.874, 2) {
t.Fail()
}
}
func TestSphericalDistance2(t *testing.T) {
// zonal
pos1, _ := NewLonLat(-140, 49.25)
pos2, _ := NewLonLat(-143, 49.25)
nv1 := pos1.ToNVector()
nv2 := pos2.ToNVector()
R := 6370997.0
d := nv1.SphericalDistance(&nv2, R)
if !isclose(d, 217736.339, 2) {
t.Fail()
}
}
func TestSphericalDistance3(t *testing.T) {
// crosses dateline
pos1, _ := NewLonLat(174, -15)
pos2, _ := NewLonLat(-177.5, 36)
nv1 := pos1.ToNVector()
nv2 := pos2.ToNVector()
R := 6370997.0
d := nv1.SphericalDistance(&nv2, R)
if !isclose(d, 5740995.595, 2) {
t.Fail()
}
}
func TestAzimuth1(t *testing.T) {
// meridional, along prime meridian
pos1, _ := NewLonLat(0.0, 0.0)
pos2, _ := NewLonLat(0.0, 10.0)
nv1 := pos1.ToNVector()
nv2 := pos2.ToNVector()
ellps := Ellipsoid{6378137.0, 6356752.3142}
az := nv1.Azimuth(&nv2, &ellps)
if !isclose(az, 0, 6) {
t.Fail()
}
}
func TestAzimuth2(t *testing.T) {
// meridional, off prime meridian
pos1, _ := NewLonLat(60, 40)
pos2, _ := NewLonLat(60, 50)
nv1 := pos1.ToNVector()
nv2 := pos2.ToNVector()
ellps := Ellipsoid{6378137.0, 6356752.3142}
az := nv1.Azimuth(&nv2, &ellps)
if !isclose(az, 0, 6) {
t.Fail()
}
}
func TestAzimuth3(t *testing.T) {
// zonal
pos1, _ := NewLonLat(-140, 49.25)
pos2, _ := NewLonLat(-143, 49.25)
nv1 := pos1.ToNVector()
nv2 := pos2.ToNVector()
ellps := Ellipsoid{6378137.0, 6356752.3142}
az := nv1.Azimuth(&nv2, &ellps)
if !isclose(az, -88.8635416/180*math.Pi, 6) {
t.Fail()
}
}
func TestAzimuth4(t *testing.T) {
// crosses dateline
pos1, _ := NewLonLat(174, -15)
pos2, _ := NewLonLat(-177.5, 36)
nv1 := pos1.ToNVector()
nv2 := pos2.ToNVector()
var ellps Ellipsoid
var az float64
// WGS84 - note poor agreement with geographiclib result
ellps = Ellipsoid{6378137.0, 6356752.3142}
az = nv1.Azimuth(&nv2, &ellps)
if !isclose(az, 8.8262727/180*math.Pi, 3) {
t.Fail()
}
// sphere
ellps = Ellipsoid{6370997.0, 6370997.0}
az = nv1.Azimuth(&nv2, &ellps)
if !isclose(az, 8.7731219/180*math.Pi, 6) {
t.Fail()
}
}
func TestForward1(t *testing.T) {
pos, _ := NewLonLat(0, 0)
nv := pos.ToNVector()
ellps := Ellipsoid{6370997.0, 6370997.0}
nv2 := nv.Forward(0, 100000, ellps.a)
pos2 := nv2.ToLonLat()
if !isclose(pos2.Lat*180/math.Pi, 0.8993220, 6) {
t.Fail()
}
if !isclose(pos2.Lon*180/math.Pi, 0, 6) {
t.Fail()
}
}
func TestForward2(t *testing.T) {
pos, _ := NewLonLat(0, 0)
nv := pos.ToNVector()
ellps := Ellipsoid{6370997.0, 6370997.0}
nv2 := nv.Forward(-45/180.0*math.Pi, 1000000, ellps.a)
pos2 := nv2.ToLonLat()
if !isclose(pos2.Lat*180/math.Pi, 6.3460548, 6) {
t.Fail()
}
if !isclose(pos2.Lon*180/math.Pi, -6.3853428, 6) {
t.Fail()
}
}
func Test_interpLinear(t *testing.T) {
y1 := interpLinear(0.5, 0, 1, 0, 1)
if !isclose(y1, 0.5, 8) {
t.Fail()
}
y2 := interpLinear(0.5, 0, 2, 0, 1)
if !isclose(y2, 0.25, 8) {
t.Fail()
}
y3 := interpLinear(-0.5, 0, 1, 0, 2)
if !isclose(y3, -1.0, 8) {
t.Fail()
}
y4 := interpLinear(1.5, 0, 2, 0, 10)
if !isclose(y4, 7.5, 8) {
t.Fail()
}
}
func TestInterpolate(t *testing.T) {
nv1 := NVector{Vec3{0, 3, 2}}
nv2 := NVector{Vec3{-7, 5, -3}}
nv_intermediate := nv1.Interpolate(&nv2, 0.2)
if !isclose(nv_intermediate.Vec3[0], -1.4, 8) {
t.Fail()
}
if !isclose(nv_intermediate.Vec3[1], 3.4, 8) {
t.Fail()
}
if !isclose(nv_intermediate.Vec3[2], 1.0, 8) {
t.Fail()
}
}
func TestIntersection1(t *testing.T) {
ll1, _ := NewLonLat(-50, 0)
ll2, _ := NewLonLat(-30, 0)
ll3, _ := NewLonLat(-40, -5)
ll4, _ := NewLonLat(-40, 3)
nv1 := ll1.ToNVector()
nv2 := ll2.ToNVector()
nv3 := ll3.ToNVector()
nv4 := ll4.ToNVector()
nv_intersection, err := Intersection(&nv1, &nv2, &nv3, &nv4)
if err != nil {
t.Error()
}
ll_intersection := nv_intersection.ToLonLat()
fmt.Println("error", err)
fmt.Println("intersection lon", ll_intersection.Lon*180/math.Pi)
fmt.Println("intersection lat", ll_intersection.Lat*180/math.Pi)
if (!isclose(ll_intersection.Lon*180/math.Pi, -40, 8)) ||
(!isclose(ll_intersection.Lat*180/math.Pi, 0.0, 8)) {
t.Fail()
}
}
func TestIntersection2(t *testing.T) {
// No intersection
ll1, _ := NewLonLat(30, 20)
ll2, _ := NewLonLat(35, 25)
ll3, _ := NewLonLat(32, 23)
ll4, _ := NewLonLat(37, 28)
nv1 := ll1.ToNVector()
nv2 := ll2.ToNVector()
nv3 := ll3.ToNVector()
nv4 := ll4.ToNVector()
_, err := Intersection(&nv1, &nv2, &nv3, &nv4)
expected_err := NoIntersectionError{}
if err != expected_err {
t.Fail()
}
}
func TestIntersection3(t *testing.T) {
fmt.Println("-----------------3--------------------------")
// No intersection
ll1, _ := NewLonLat(30, 20)
ll2, _ := NewLonLat(0, -90)
//ll1, _ := NewLonLat(115.4010439,-32.0376666 )
//ll2, _ := NewLonLat(0, 90)
ll3, _ := NewLonLat(180, 0)
ll4, _ := NewLonLat(-180, 0)
nv1 := ll1.ToNVector()
nv2 := ll2.ToNVector()
nv3 := ll3.ToNVector()
nv4 := ll4.ToNVector()
fmt.Println("T405: ", nv1, nv2, nv3, nv4)
p, err := Intersection2(&nv1, &nv2, &nv3, &nv4)
ll_intersection := p.ToLonLat()
fmt.Println("error", err)
fmt.Println("intersection lon", ll_intersection.Lon*180/math.Pi)
fmt.Println("intersection lat", ll_intersection.Lat*180/math.Pi)
fmt.Println("T402: ",p, ll1.Lon, err)
//expected_err := NoIntersectionError{}
/*if err != expected_err {
t.Fail()
}*/
}
func TestIntersection4(t *testing.T) {
fmt.Println("--------------4-----------------------------")
ll1, _ := NewLonLat(16.367, 48.2)
ll2, _ := NewLonLat(0, -90)
//ll1, _ := NewLonLat(115.4010439,-32.0376666 )
//ll2, _ := NewLonLat(0, 90)
ll3, _ := NewLonLat(-179, 0)
ll4, _ := NewLonLat(180, 0)
nv1 := ll1.ToNVector()
nv2 := ll2.ToNVector()
nv3 := ll3.ToNVector()
nv4 := ll4.ToNVector()
pole := &Vec3{1, 1, 1} //Use this to find direction of cross product
//Assign the sign
fmt.Println("S1: ", nv3.SphericalDistance2(&nv4,1), cross(&nv3.Vec3,&nv4.Vec3), Sign(dot(pole,cross(&nv3.Vec3,&nv4.Vec3) )) ,";", cross(&nv3.Vec3,&nv4.Vec3).Magnitude(), dot(&nv3.Vec3,&nv4.Vec3))
//fmt.Println("S1: ", nv4.SphericalDistance2(&nv3,1), cross(&nv4.Vec3,&nv3.Vec3),dot(pole,cross(&nv4.Vec3,&nv3.Vec3) ) ,";", cross(&nv4.Vec3,&nv3.Vec3).Magnitude(), dot(&nv4.Vec3,&nv3.Vec3))
fmt.Println("T440: ", nv1, nv2, nv3, nv4)
p, err := Intersection2(&nv1, &nv2, &nv3, &nv4)
ll_intersection := p.ToLonLat()
fmt.Println("error", err)
fmt.Println("intersection lon", ll_intersection.Lon*180/math.Pi)
fmt.Println("intersection lat", ll_intersection.Lat*180/math.Pi)
fmt.Println("T452: ",p, ll1.Lon, err)
}
func TestIntersection5(t *testing.T){
fmt.Println("--------------5-----------------------------")
graphs:= map[string][][]float64{}
graphs["5ea5014"]= [][]float64{{90,0},{0,180},{0,-180} }
graphs["1e50fe0"]= [][]float64{{0,180},{-45.00000000000001,-180}, {0,-180}}
graphs["6262621"]= [][]float64{{0,180},{-45.00000000000001,-180},{-90,0} }
graphs["64ecd79"]= [][]float64{{90,0},{0,-155.77267315364767},{0,180}}
graphs["8cbfa98"]= [][]float64{{90,0},{0,-155.77267315364767},{0,-180}}
csvFile, err := os.Open("./capital2")
if err != nil {
fmt.Println(err)
}
defer csvFile.Close()
reader := csv.NewReader(csvFile)
reader.Comma = ',' // Use tab-delimited instead of comma <---- here!
reader.FieldsPerRecord = -1
nodeData, err := reader.ReadAll()
_lat := []float64{}
_lon := []float64{}
for _,node := range nodeData{
n2,_ := strconv.ParseFloat(node[2],64)
n3,_ := strconv.ParseFloat(node[3],64)
_lat = append(_lat,n2)
_lon = append(_lon, n3)
//fmt.Println("T488: ", oet(_lon[0], _lat[0], graphs["6262621"] ))
}
//fmt.Println("T489: ", oet1(_lon[0], _lat[0], graphs["5ea5014"] )) //Shd be false
fmt.Println("T488: ", "8cbfa98=>",oet1(_lon[1], _lat[1], graphs["8cbfa98"] ), "64ecd79=>",oet1(_lon[1], _lat[1], graphs["64ecd79"] ))
}
func oet1(la float64,lo float64,tri [][]float64) bool{
pole := []float64{-90,0}
ll1, _ := NewLonLat(lo, la)
ll2, _ := NewLonLat(pole[1], pole[0])
nv1 := ll1.ToNVector()
nv2 := ll2.ToNVector()
counter := 0
//Now find about how many lines intersect by connecting la/lo with pole
for i,p := range tri {
nxt := i+1 //Draw line upto next index
if i == 2{
nxt = 0
}
ll3, _ := NewLonLat(p[1], p[0])
ll4, _ := NewLonLat(tri[ nxt ][1], tri[ nxt ][0])
nv3 := ll3.ToNVector()
nv4 := ll4.ToNVector()
fmt.Println("T97: ", p,"=>",tri[nxt])
_i := NVector{}
var err error
if p[1] < tri[ nxt ][1] {
_i, err = Intersection2(&nv1, &nv2, &nv3, &nv4)
}else{
_i, err = Intersection2(&nv1, &nv2, &nv4, &nv3)
}
if err == nil {
//fmt.Println("T92:Err ", err)
//}else{
//ll_intersection := nv_intersection.ToLonLat()
counter += 1
fmt.Println("T101: ", _i, p[1],p[0] ,"=>",tri[ nxt ][1], tri[ nxt ][0] )
}
}
fmt.Println("T105: ", counter)
return (counter%2 != 0)
}
func TestExtrapolation6(t *testing.T) {
fmt.Println("--------------6-----------------------------")
ll1, _ := NewLonLat( 24.20254710094333,39.458341347381015)
ll2, _ := NewLonLat(0, 90)
//ll1, _ := NewLonLat(115.4010439,-32.0376666 )
//ll2, _ := NewLonLat(0, 90)
ll3, _ := NewLonLat(-180, 0)
ll4, _ := NewLonLat(180, 0)
nv1 := ll1.ToNVector()
nv2 := ll2.ToNVector()
nv3 := ll3.ToNVector()
nv4 := ll4.ToNVector()
pole := &Vec3{1, 1, 1} //Use this to find direction of cross product
//Assign the sign
fmt.Println("S1: ", nv3.SphericalDistance2(&nv4,1), cross(&nv3.Vec3,&nv4.Vec3), Sign(dot(pole,cross(&nv3.Vec3,&nv4.Vec3) )) ,";", cross(&nv3.Vec3,&nv4.Vec3).Magnitude(), dot(&nv3.Vec3,&nv4.Vec3))
//fmt.Println("S1: ", nv4.SphericalDistance2(&nv3,1), cross(&nv4.Vec3,&nv3.Vec3),dot(pole,cross(&nv4.Vec3,&nv3.Vec3) ) ,";", cross(&nv4.Vec3,&nv3.Vec3).Magnitude(), dot(&nv4.Vec3,&nv3.Vec3))
fmt.Println("T555: ", nv1, nv2, nv3, nv4)
p, err := Extrapolation(&nv1, &nv2, &nv3, &nv4)
fmt.Println("error", err)
fmt.Println("Extrapolation lon", p.Lon*180/math.Pi)
fmt.Println("Extrapolation lat", p.Lat*180/math.Pi)
fmt.Println("T452: ",p, err)
}