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1.1 ! root 1: #include "map.h" ! 2: #define HUGE 1.e15 ! 3: #define HFUZZ .0001 ! 4: static float hcut[3] ; ! 5: static float kr[3] = { .5, -1., .5 }; ! 6: static float ki[3] = { -1., 0., 1. }; /*to multiply by sqrt(3)/2*/ ! 7: static float cr[3]; ! 8: static float ci[3]; ! 9: static struct place hem; ! 10: static struct coord twist; ! 11: static double rootroot3, hkc; ! 12: static float w2; ! 13: static double cubrt(); ! 14: static double rootk; ! 15: ! 16: Xhex(place,x,y) ! 17: struct place *place; ! 18: float *x, *y; ! 19: { ! 20: int ns; ! 21: register i; ! 22: float reduce(); ! 23: float zr,zi; ! 24: double sr,si,tr,ti,ur,ui,vr,vi,yr,yi; ! 25: struct place p; ! 26: copyplace(place,&p); ! 27: ns = place->nlat.l >= 0; ! 28: if(!ns) { ! 29: p.nlat.l = -p.nlat.l; ! 30: p.nlat.s = -p.nlat.s; ! 31: } ! 32: if(p.nlat.l<HFUZZ) { ! 33: for(i=0;i<3;i++) ! 34: if(fabs(reduce(p.wlon.l-hcut[i]))<HFUZZ) { ! 35: if(i==2) { ! 36: *x = 2*cr[0] - cr[1]; ! 37: *y = 0; ! 38: } else { ! 39: *x = cr[1]; ! 40: *y = 2*ci[2*i]; ! 41: } ! 42: return(1); ! 43: } ! 44: p.nlat.l = HFUZZ; ! 45: sincos(&p.nlat); ! 46: } ! 47: norm(&p,&hem,&twist); ! 48: Xstereographic(&p,&zr,&zi); ! 49: zr /= 2; ! 50: zi /= 2; ! 51: cdiv(1-zr,-zi,1+zr,zi,&sr,&si); ! 52: csq(sr,si,&tr,&ti); ! 53: ccubrt(1+3*tr,3*ti,&ur,&ui); ! 54: csqrt(ur-1,ui,&vr,&vi); ! 55: cdiv(rootroot3+vr,vi,rootroot3-vr,-vi,&yr,&yi); ! 56: yr /= rootk; ! 57: yi /= rootk; ! 58: elco2(fabs(yr),yi,hkc,1.,1.,x,y); ! 59: if(yr < 0) ! 60: *x = w2 - *x; ! 61: if(!ns) reflect(hcut[0]>place->wlon.l?0: ! 62: hcut[1]>=place->wlon.l?1: ! 63: 2,*x,*y,x,y); ! 64: return(1); ! 65: } ! 66: ! 67: int (*hex())() ! 68: { ! 69: register i; ! 70: float t; ! 71: double root3; ! 72: float c,d; ! 73: struct place p; ! 74: hcut[2] = PI; ! 75: hcut[1] = hcut[2]/3; ! 76: hcut[0] = -hcut[1]; ! 77: root3 = sqrt(3.); ! 78: rootroot3 = sqrt(root3); ! 79: t = 15 -8*root3; ! 80: hkc = t*(1-sqrt(1-1/(t*t))); ! 81: elco2(HUGE,0.,hkc,1.,1.,&w2,&t); ! 82: w2 *= 2; ! 83: rootk = sqrt(hkc); ! 84: latlon(90.,90.,&hem); ! 85: latlon(90.,0.,&p); ! 86: Xhex(&p,&c,&t); ! 87: latlon(0.,0.,&p); ! 88: Xhex(&p,&d,&t); ! 89: for(i=0;i<3;i++) { ! 90: ki[i] *= root3/2; ! 91: cr[i] = c + (c-d)*kr[i]; ! 92: ci[i] = (c-d)*ki[i]; ! 93: } ! 94: deg2rad(0.,&twist); ! 95: return(Xhex); ! 96: } ! 97: ! 98: reflect(i,wr,wi,x,y) ! 99: float wr,wi; ! 100: float *x,*y; ! 101: { ! 102: float pr,pi,l; ! 103: pr = cr[i]-wr; ! 104: pi = ci[i]-wi; ! 105: l = 2*(kr[i]*pr + ki[i]*pi); ! 106: *x = wr + l*kr[i]; ! 107: *y = wi + l*ki[i]; ! 108: } ! 109: ! 110: hexcut(g,og,cutlon) ! 111: struct place *g,*og; ! 112: float *cutlon; ! 113: { ! 114: register t,i; ! 115: if(g->nlat.l>=-HFUZZ&&og->nlat.l>=-HFUZZ) ! 116: return(1); ! 117: for(i=0;i<3;i++) { ! 118: t = ckcut(g,og,*cutlon=hcut[i]); ! 119: if(t!=1) return(t); ! 120: } ! 121: return(1); ! 122: }
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