diff options
Diffstat (limited to 'navit/transform.c')
| -rw-r--r-- | navit/transform.c | 747 |
1 files changed, 747 insertions, 0 deletions
diff --git a/navit/transform.c b/navit/transform.c new file mode 100644 index 000000000..0abe6fbd3 --- /dev/null +++ b/navit/transform.c @@ -0,0 +1,747 @@ +#include <assert.h> +#include <stdio.h> +#include <math.h> +#include <limits.h> +#include <glib.h> +#include <string.h> +#include "config.h" +#include "coord.h" +#include "debug.h" +#include "map.h" +#include "transform.h" +#include "projection.h" +#include "point.h" + +struct transformation { + long scale; /* Scale factor */ + int angle; /* Rotation angle */ + double cos_val,sin_val; /* cos and sin of rotation angle */ + enum projection pro; + struct map_selection *map_sel; + struct map_selection *screen_sel; + struct point screen_center; + struct coord map_center; /* Center of source rectangle */ +}; + +struct transformation * +transform_new(void) +{ + struct transformation *this_; + + this_=g_new0(struct transformation, 1); + + return this_; +} + +static const double gar2geo_units = 360.0/(1<<24); +static const double geo2gar_units = 1/(360.0/(1<<24)); + +void +transform_to_geo(enum projection pro, struct coord *c, struct coord_geo *g) +{ + switch (pro) { + case projection_mg: + g->lng=c->x/6371000.0/M_PI*180; + g->lat=atan(exp(c->y/6371000.0))/M_PI*360-90; + break; + case projection_garmin: + g->lng=c->x*gar2geo_units; + g->lat=c->y*gar2geo_units; + break; + default: + break; + } +} + +void +transform_from_geo(enum projection pro, struct coord_geo *g, struct coord *c) +{ + switch (pro) { + case projection_mg: + c->x=g->lng*6371000.0*M_PI/180; + c->y=log(tan(M_PI_4+g->lat*M_PI/360))*6371000.0; + break; + case projection_garmin: + c->x=g->lng*geo2gar_units; + c->y=g->lat*geo2gar_units; + break; + default: + break; + } +} + +void +transform_from_to(struct coord *cfrom, enum projection from, struct coord *cto, enum projection to) +{ + struct coord_geo g; + transform_to_geo(from, cfrom, &g); + transform_from_geo(to, &g, cto); +} + +void +transform_geo_to_cart(struct coord_geo *geo, double a, double b, struct coord_geo_cart *cart) +{ + double n,ee=1-b*b/(a*a); + n = a/sqrt(1-ee*sin(geo->lat)*sin(geo->lat)); + cart->x=n*cos(geo->lat)*cos(geo->lng); + cart->y=n*cos(geo->lat)*sin(geo->lng); + cart->z=n*(1-ee)*sin(geo->lat); +} + +void +transform_cart_to_geo(struct coord_geo_cart *cart, double a, double b, struct coord_geo *geo) +{ + double lat,lati,n,ee=1-b*b/(a*a), lng = atan(cart->y/cart->x); + + lat = atan(cart->z / sqrt((cart->x * cart->x) + (cart->y * cart->y))); + do + { + lati = lat; + + n = a / sqrt(1-ee*sin(lat)*sin(lat)); + lat = atan((cart->z + ee * n * sin(lat)) / sqrt(cart->x * cart->x + cart->y * cart->y)); + } + while (fabs(lat - lati) >= 0.000000000000001); + + geo->lng=lng/M_PI*180; + geo->lat=lat/M_PI*180; +} + + +void +transform_datum(struct coord_geo *from, enum map_datum from_datum, struct coord_geo *to, enum map_datum to_datum) +{ +} + +int +transform(struct transformation *t, enum projection pro, struct coord *c, struct point *p, int count, int unique) +{ + struct coord c1; + int xcn, ycn; + struct coord_geo g; +#ifdef AVOID_FLOAT + int xc,yc; +#else + double xc,yc; +#endif + int i,j = 0; + for (i=0; i < count; i++) { + if (pro == t->pro) { + xc=c[i].x; + yc=c[i].y; + } else { + transform_to_geo(pro, &c[i], &g); + transform_from_geo(t->pro, &g, &c1); + xc=c1.x; + yc=c1.y; + } +// dbg(2,"0x%x, 0x%x - 0x%x,0x%x contains 0x%x,0x%x\n", t->r.lu.x, t->r.lu.y, t->r.rl.x, t->r.rl.y, c->x, c->y); +// ret=coord_rect_contains(&t->r, c); + xc-=t->map_center.x; + yc-=t->map_center.y; + yc=-yc; + if (t->angle) { + xcn=xc*t->cos_val+yc*t->sin_val; + ycn=-xc*t->sin_val+yc*t->cos_val; + xc=xcn; + yc=ycn; + } + xc=xc*16; + yc=yc*16; +#ifndef AVOID_FLOAT + if (t->scale!=1) { + xc=xc/(double)(t->scale); + yc=yc/(double)(t->scale); + } +#else + if (t->scale!=1) { + xc=xc/t->scale; + yc=yc/t->scale; + } +#endif + xc+=t->screen_center.x; + yc+=t->screen_center.y; + if (xc < -0x8000) + xc=-0x8000; + if (xc > 0x7fff) { + xc=0x7fff; + } + if (yc < -0x8000) + yc=-0x8000; + if (yc > 0x7fff) + yc=0x7fff; + if (j == 0 || !unique || p[j-1].x != xc || p[j-1].y != yc) { + p[j].x=xc; + p[j].y=yc; + j++; + } + } + return j; +} + +void +transform_reverse(struct transformation *t, struct point *p, struct coord *c) +{ + int xc,yc; + xc=p->x; + yc=p->y; + xc-=t->screen_center.x; + yc-=t->screen_center.y; + xc=xc*t->scale/16; + yc=-yc*t->scale/16; + if (t->angle) { + int xcn, ycn; + xcn=xc*t->cos_val+yc*t->sin_val; + ycn=-xc*t->sin_val+yc*t->cos_val; + xc=xcn; + yc=ycn; + } + c->x=t->map_center.x+xc; + c->y=t->map_center.y+yc; +} + +enum projection +transform_get_projection(struct transformation *this_) +{ + return this_->pro; +} + +void +transform_set_projection(struct transformation *this_, enum projection pro) +{ + this_->pro=pro; +} + +static int +min4(int v1,int v2, int v3, int v4) +{ + int res=v1; + if (v2 < res) + res=v2; + if (v3 < res) + res=v3; + if (v4 < res) + res=v4; + return res; +} + +static int +max4(int v1,int v2, int v3, int v4) +{ + int res=v1; + if (v2 > res) + res=v2; + if (v3 > res) + res=v3; + if (v4 > res) + res=v4; + return res; +} + +struct map_selection * +transform_get_selection(struct transformation *this_, enum projection pro, int order) +{ + + struct map_selection *ret,*curri,*curro; + struct coord_geo g; + int i; + + ret=map_selection_dup(this_->map_sel); + curri=this_->map_sel; + curro=ret; + while (curri) { + if (this_->pro != pro) { + transform_to_geo(this_->pro, &curri->u.c_rect.lu, &g); + transform_from_geo(pro, &g, &curro->u.c_rect.lu); + dbg(1,"%f,%f", g.lat, g.lng); + transform_to_geo(this_->pro, &curri->u.c_rect.rl, &g); + transform_from_geo(pro, &g, &curro->u.c_rect.rl); + dbg(1,": - %f,%f\n", g.lat, g.lng); + } + dbg(1,"transform rect for %d is %d,%d - %d,%d\n", pro, curro->u.c_rect.lu.x, curro->u.c_rect.lu.y, curro->u.c_rect.rl.x, curro->u.c_rect.rl.y); + for (i = 0 ; i < layer_end ; i++) + curro->order[i]+=order; + curri=curri->next; + curro=curro->next; + } + return ret; +} + +struct coord * +transform_center(struct transformation *this_) +{ + return &this_->map_center; +} + +void +transform_set_angle(struct transformation *t,int angle) +{ + t->angle=angle; + t->cos_val=cos(M_PI*t->angle/180); + t->sin_val=sin(M_PI*t->angle/180); +} + +int +transform_get_angle(struct transformation *this_,int angle) +{ + return this_->angle; +} + +void +transform_set_screen_selection(struct transformation *t, struct map_selection *sel) +{ + map_selection_destroy(t->screen_sel); + t->screen_sel=map_selection_dup(sel); + if (sel) { + t->screen_center.x=(sel->u.p_rect.rl.x-sel->u.p_rect.lu.x)/2; + t->screen_center.y=(sel->u.p_rect.rl.y-sel->u.p_rect.lu.y)/2; + } +} + +#if 0 +void +transform_set_size(struct transformation *t, int width, int height) +{ + t->width=width; + t->height=height; +} +#endif + +void +transform_get_size(struct transformation *t, int *width, int *height) +{ + struct point_rect *r; + if (t->screen_sel) { + r=&t->screen_sel->u.p_rect; + *width=r->rl.x-r->lu.x; + *height=r->rl.y-r->lu.y; + } +} + +void +transform_setup(struct transformation *t, struct pcoord *c, int scale, int angle) +{ + t->pro=c->pro; + t->map_center.x=c->x; + t->map_center.y=c->y; + t->scale=scale; + transform_set_angle(t, angle); +} + +#if 0 + +void +transform_setup_source_rect_limit(struct transformation *t, struct coord *center, int limit) +{ + t->center=*center; + t->scale=1; + t->angle=0; + t->r.lu.x=center->x-limit; + t->r.rl.x=center->x+limit; + t->r.rl.y=center->y-limit; + t->r.lu.y=center->y+limit; +} +#endif + +void +transform_setup_source_rect(struct transformation *t) +{ + int i; + struct coord screen[4]; + struct point screen_pnt[4]; + struct point_rect *pr; + struct map_selection *ms,*msm,*next,**msm_last; + ms=t->map_sel; + while (ms) { + next=ms->next; + g_free(ms); + ms=next; + } + t->map_sel=NULL; + msm_last=&t->map_sel; + ms=t->screen_sel; + while (ms) { + msm=g_new0(struct map_selection, 1); + *msm=*ms; + pr=&ms->u.p_rect; + screen_pnt[0].x=pr->lu.x; + screen_pnt[0].y=pr->lu.y; + screen_pnt[1].x=pr->rl.x; + screen_pnt[1].y=pr->lu.y; + screen_pnt[2].x=pr->lu.x; + screen_pnt[2].y=pr->rl.y; + screen_pnt[3].x=pr->rl.x; + screen_pnt[3].y=pr->rl.y; + for (i = 0 ; i < 4 ; i++) { + transform_reverse(t, &screen_pnt[i], &screen[i]); + } + msm->u.c_rect.lu.x=min4(screen[0].x,screen[1].x,screen[2].x,screen[3].x); + msm->u.c_rect.rl.x=max4(screen[0].x,screen[1].x,screen[2].x,screen[3].x); + msm->u.c_rect.rl.y=min4(screen[0].y,screen[1].y,screen[2].y,screen[3].y); + msm->u.c_rect.lu.y=max4(screen[0].y,screen[1].y,screen[2].y,screen[3].y); + *msm_last=msm; + msm_last=&msm->next; + ms=ms->next; + } +} + +long +transform_get_scale(struct transformation *t) +{ + return t->scale; +} + +void +transform_set_scale(struct transformation *t, long scale) +{ + t->scale=scale; +} + + +int +transform_get_order(struct transformation *t) +{ + int scale=t->scale; + int order=0; + while (scale > 1) { + order++; + scale>>=1; + } + order=18-order; + if (order < 0) + order=0; + return order; +} + + +void +transform_geo_text(struct coord_geo *g, char *buffer) +{ + double lng=g->lng; + double lat=g->lat; + char lng_c='E'; + char lat_c='N'; + + if (lng < 0) { + lng=-lng; + lng_c='W'; + } + if (lat < 0) { + lat=-lat; + lat_c='S'; + } + + sprintf(buffer,"%02.0f%07.4f%c %03.0f%07.4f%c", floor(lat), fmod(lat*60,60), lat_c, floor(lng), fmod(lng*60,60), lng_c); + +} + +#define TWOPI (M_PI*2) +#define GC2RAD(c) ((c) * TWOPI/(1<<24)) +#define minf(a,b) ((a) < (b) ? (a) : (b)) + +static double +transform_distance_garmin(struct coord *c1, struct coord *c2) +{ +#ifdef USE_HALVESINE + static const int earth_radius = 6371*1000; //m change accordingly +// static const int earth_radius = 3960; //miles + +//Point 1 cords + float lat1 = GC2RAD(c1->y); + float long1 = GC2RAD(c1->x); + +//Point 2 cords + float lat2 = GC2RAD(c2->y); + float long2 = GC2RAD(c2->x); + +//Haversine Formula + float dlong = long2-long1; + float dlat = lat2-lat1; + + float sinlat = sinf(dlat/2); + float sinlong = sinf(dlong/2); + + float a=(sinlat*sinlat)+cosf(lat1)*cosf(lat2)*(sinlong*sinlong); + float c=2*asinf(minf(1,sqrt(a))); +#ifdef AVOID_FLOAT + return round(earth_radius*c); +#else + return earth_radius*c; +#endif +#else +#define GMETER 2.3887499999999999 + double dx,dy; + dx=c1->x-c2->x; + dy=c1->y-c2->y; + return sqrt(dx*dx+dy*dy)*GMETER; +#undef GMETER +#endif +} + +double +transform_scale(int y) +{ + struct coord c; + struct coord_geo g; + c.x=0; + c.y=y; + transform_to_geo(projection_mg, &c, &g); + return 1/cos(g.lat/180*M_PI); +} + +#ifdef AVOID_FLOAT +static int +tab_sqrt[]={14142,13379,12806,12364,12018,11741,11517,11333,11180,11051,10943,10850,10770,10701,10640,10587,10540,10499,10462,10429,10400,10373,10349,10327,10307,10289,10273,10257,10243,10231,10219,10208}; +#endif + +double +transform_distance(enum projection pro, struct coord *c1, struct coord *c2) +{ + if (pro == projection_mg) { +#ifndef AVOID_FLOAT + double dx,dy,scale=transform_scale((c1->y+c2->y)/2); + dx=c1->x-c2->x; + dy=c1->y-c2->y; + return sqrt(dx*dx+dy*dy)/scale; +#else + int dx,dy,f,scale=15539; + dx=c1->x-c2->x; + dy=c1->y-c2->y; + if (dx < 0) + dx=-dx; + if (dy < 0) + dy=-dy; + while (dx > 20000 || dy > 20000) { + dx/=10; + dy/=10; + scale/=10; + } + if (! dy) + return dx*10000/scale; + if (! dx) + return dy*10000/scale; + if (dx > dy) { + f=dx*8/dy-8; + if (f >= 32) + return dx*10000/scale; + return dx*tab_sqrt[f]/scale; + } else { + f=dy*8/dx-8; + if (f >= 32) + return dy*10000/scale; + return dy*tab_sqrt[f]/scale; + } +#endif + } else if (pro == projection_garmin) { + return transform_distance_garmin(c1, c2); + } else { + printf("Unknown projection: %d\n", pro); + return 0; + } +} + +int +transform_distance_sq(struct coord *c1, struct coord *c2) +{ + int dx=c1->x-c2->x; + int dy=c1->y-c2->y; + + if (dx > 32767 || dy > 32767 || dx < -32767 || dy < -32767) + return INT_MAX; + else + return dx*dx+dy*dy; +} + +int +transform_distance_line_sq(struct coord *l0, struct coord *l1, struct coord *ref, struct coord *lpnt) +{ + int vx,vy,wx,wy; + int c1,c2; + int climit=1000000; + struct coord l; + + vx=l1->x-l0->x; + vy=l1->y-l0->y; + wx=ref->x-l0->x; + wy=ref->y-l0->y; + + c1=vx*wx+vy*wy; + if ( c1 <= 0 ) { + if (lpnt) + *lpnt=*l0; + return transform_distance_sq(l0, ref); + } + c2=vx*vx+vy*vy; + if ( c2 <= c1 ) { + if (lpnt) + *lpnt=*l1; + return transform_distance_sq(l1, ref); + } + while (c1 > climit || c2 > climit) { + c1/=256; + c2/=256; + } + l.x=l0->x+vx*c1/c2; + l.y=l0->y+vy*c1/c2; + if (lpnt) + *lpnt=l; + return transform_distance_sq(&l, ref); +} + +int +transform_distance_polyline_sq(struct coord *c, int count, struct coord *ref, struct coord *lpnt, int *pos) +{ + int i,dist,distn; + struct coord lp; + if (count < 2) + return INT_MAX; + if (pos) + *pos=0; + dist=transform_distance_line_sq(&c[0], &c[1], ref, lpnt); + for (i=2 ; i < count ; i++) { + distn=transform_distance_line_sq(&c[i-1], &c[i], ref, &lp); + if (distn < dist) { + dist=distn; + if (lpnt) + *lpnt=lp; + if (pos) + *pos=i-1; + } + } + return dist; +} + + +void +transform_print_deg(double deg) +{ + printf("%2.0f:%2.0f:%2.4f", floor(deg), fmod(deg*60,60), fmod(deg*3600,60)); +} + +#ifdef AVOID_FLOAT +static int tab_atan[]={0,262,524,787,1051,1317,1584,1853,2126,2401,2679,2962,3249,3541,3839,4142,4452,4770,5095,5430,5774,6128,6494,6873,7265,7673,8098,8541,9004,9490,10000,10538}; + +static int +atan2_int_lookup(int val) +{ + int len=sizeof(tab_atan)/sizeof(int); + int i=len/2; + int p=i-1; + for (;;) { + i>>=1; + if (val < tab_atan[p]) + p-=i; + else + if (val < tab_atan[p+1]) + return p+(p>>1); + else + p+=i; + } +} + +static int +atan2_int(int dx, int dy) +{ + int f,mul=1,add=0,ret; + if (! dx) { + return dy < 0 ? 180 : 0; + } + if (! dy) { + return dx < 0 ? -90 : 90; + } + if (dx < 0) { + dx=-dx; + mul=-1; + } + if (dy < 0) { + dy=-dy; + add=180*mul; + mul*=-1; + } + while (dx > 20000 || dy > 20000) { + dx/=10; + dy/=10; + } + if (dx > dy) { + ret=90-atan2_int_lookup(dy*10000/dx); + } else { + ret=atan2_int_lookup(dx*10000/dy); + } + return ret*mul+add; +} +#endif + +int +transform_get_angle_delta(struct coord *c1, struct coord *c2, int dir) +{ + int dx=c2->x-c1->x; + int dy=c2->y-c1->y; +#ifndef AVOID_FLOAT + double angle; + angle=atan2(dx,dy); + angle*=180/M_PI; +#else + int angle; + angle=atan2_int(dx,dy); +#endif + if (dir == -1) + angle=angle-180; + if (angle < 0) + angle+=360; + return angle; +} + +int +transform_within_border(struct transformation *this_, struct point *p, int border) +{ + struct map_selection *ms=this_->screen_sel; + while (ms) { + struct point_rect *r=&ms->u.p_rect; + if (p->x >= r->lu.x+border && p->x <= r->rl.x-border && + p->y >= r->lu.y+border && p->y <= r->rl.y-border) + return 1; + ms=ms->next; + } + return 0; +} + +/* +Note: there are many mathematically equivalent ways to express these formulas. As usual, not all of them are computationally equivalent. + +L = latitude in radians (positive north) +Lo = longitude in radians (positive east) +E = easting (meters) +N = northing (meters) + +For the sphere + +E = r Lo +N = r ln [ tan (pi/4 + L/2) ] + +where + +r = radius of the sphere (meters) +ln() is the natural logarithm + +For the ellipsoid + +E = a Lo +N = a * ln ( tan (pi/4 + L/2) * ( (1 - e * sin (L)) / (1 + e * sin (L))) ** (e/2) ) + + + e + - + pi L 1 - e sin(L) 2 + = a ln( tan( ---- + ---) (--------------) ) + 4 2 1 + e sin(L) + + +where + +a = the length of the semi-major axis of the ellipsoid (meters) +e = the first eccentricity of the ellipsoid + + +*/ + + |