LCOV - code coverage report
Current view: top level - shared - geom.cpp (source / functions) Hit Total Coverage
Test: Libprimis Test Coverage Lines: 97 118 82.2 %
Date: 2024-11-22 05:07:59 Functions: 9 9 100.0 %

          Line data    Source code
       1             : #include "../libprimis-headers/cube.h"
       2             : #include "geomexts.h"
       3             : 
       4           5 : bool raysphereintersect(const vec &center, float radius, const vec &o, const vec &ray, float &dist)
       5             : {
       6           5 :     vec c(center);
       7           5 :     c.sub(o);
       8           5 :     float v = c.dot(ray),
       9           5 :           inside = radius*radius - c.squaredlen();
      10           5 :     if(inside<0 && v<0)
      11             :     {
      12           0 :         return false;
      13             :     }
      14           5 :     float d = inside + v*v;
      15           5 :     if(d<0)
      16             :     {
      17           1 :         return false;
      18             :     }
      19           4 :     dist = v - std::sqrt(d);
      20           4 :     return true;
      21             : }
      22             : 
      23           6 : bool rayboxintersect(const vec &b, const vec &s, const vec &o, const vec &ray, float &dist, int &orient)
      24             : {
      25          14 :     for(int d = 0; d < 3; ++d)
      26             :     {
      27          12 :         if(ray[d])
      28             :         {
      29           9 :             int dc = ray[d]<0 ? 1 : 0;
      30           9 :             float pdist = (b[d]+s[d]*dc - o[d]) / ray[d];
      31           9 :             vec v(ray);
      32           9 :             v.mul(pdist).add(o);
      33          15 :             if(v[R[d]] >= b[R[d]] && v[R[d]] <= b[R[d]]+s[R[d]]
      34          15 :             && v[C[d]] >= b[C[d]] && v[C[d]] <= b[C[d]]+s[C[d]])
      35             :             {
      36           4 :                 dist = pdist;
      37           4 :                 orient = 2*d+dc;
      38           4 :                 return true;
      39             :             }
      40             :         }
      41             :     }
      42           2 :     return false;
      43             : }
      44             : 
      45          15 : bool linecylinderintersect(const vec &from, const vec &to, const vec &start, const vec &end, float radius, float &dist)
      46             : {
      47          15 :     vec d(end),
      48          15 :         m(from),
      49          15 :         n(to);
      50          15 :     d.sub(start);
      51          15 :     m.sub(start);
      52          15 :     n.sub(from);
      53          15 :     float md = m.dot(d),
      54          15 :           nd = n.dot(d),
      55          15 :           dd = d.squaredlen();
      56          15 :     if(md < 0 && md + nd < 0)
      57             :     {
      58           0 :         return false;
      59             :     }
      60          15 :     if(md > dd && md + nd > dd)
      61             :     {
      62           3 :         return false;
      63             :     }
      64          12 :     float nn = n.squaredlen(),
      65          12 :           mn = m.dot(n),
      66          12 :           a = dd*nn - nd*nd,
      67          12 :           k = m.squaredlen() - radius*radius,
      68          12 :           c = dd*k - md*md;
      69          12 :     if(std::fabs(a) < 0.005f)
      70             :     {
      71           0 :         if(c > 0)
      72             :         {
      73           0 :             return false;
      74             :         }
      75           0 :         if(md < 0)
      76             :         {
      77           0 :             dist = -mn / nn;
      78             :         }
      79           0 :         else if(md > dd)
      80             :         {
      81           0 :             dist = (nd - mn) / nn;
      82             :         }
      83             :         else
      84             :         {
      85           0 :             dist = 0;
      86             :         }
      87           0 :         return true;
      88             :     }
      89          12 :     else if(c > 0)
      90             :     {
      91          10 :         float b = dd*mn - nd*md,
      92          10 :               discrim = b*b - a*c;
      93          10 :         if(discrim < 0)
      94             :         {
      95           1 :             return false;
      96             :         }
      97           9 :         dist = (-b - sqrtf(discrim)) / a;
      98             :     }
      99             :     else
     100             :     {
     101           2 :         dist = 0;
     102             :     }
     103          11 :     float offset = md + dist*nd;
     104          11 :     if(offset < 0)
     105             :     {
     106           1 :         if(nd <= 0)
     107             :         {
     108           0 :             return false;
     109             :         }
     110           1 :         dist = -md / nd;
     111           1 :         if(k + dist*(2*mn + dist*nn) > 0)
     112             :         {
     113           0 :             return false;
     114             :         }
     115             :     }
     116          10 :     else if(offset > dd)
     117             :     {
     118           0 :         if(nd >= 0)
     119             :         {
     120           0 :             return false;
     121             :         }
     122           0 :         dist = (dd - md) / nd;
     123           0 :         if(k + dd - 2*md + dist*(2*(mn-nd) + dist*nn) > 0)
     124             :         {
     125           0 :             return false;
     126             :         }
     127             :     }
     128          11 :     return dist >= 0 && dist <= 1;
     129             : }
     130             : 
     131           3 : int polyclip(const vec *in, int numin, const vec &dir, float below, float above, vec *out)
     132             : {
     133           3 :     int numout = 0;
     134           3 :     const vec *p = &in[numin-1];
     135           3 :     float pc = dir.dot(*p);
     136          18 :     for(int i = 0; i < numin; ++i)
     137             :     {
     138          15 :         const vec &v = in[i];
     139          15 :         float c = dir.dot(v);
     140          15 :         if(c < below)
     141             :         {
     142           2 :             if(pc > above)
     143             :             {
     144           0 :                 out[numout++] = static_cast<vec>(*p).sub(v).mul((above - c)/(pc - c)).add(v);
     145             :             }
     146           2 :             if(pc > below)
     147             :             {
     148           0 :                 out[numout++] = static_cast<vec>(*p).sub(v).mul((below - c)/(pc - c)).add(v);
     149             :             }
     150             :         }
     151          13 :         else if(c > above)
     152             :         {
     153           3 :             if(pc < below)
     154             :             {
     155           0 :                 out[numout++] = static_cast<vec>(*p).sub(v).mul((below - c)/(pc - c)).add(v);
     156             :             }
     157           3 :             if(pc < above)
     158             :             {
     159           1 :                 out[numout++] = static_cast<vec>(*p).sub(v).mul((above - c)/(pc - c)).add(v);
     160             :             }
     161             :         }
     162             :         else
     163             :         {
     164          10 :             if(pc < below)
     165             :             {
     166           1 :                 if(c > below)
     167             :                 {
     168           0 :                     out[numout++] = static_cast<vec>(*p).sub(v).mul((below - c)/(pc - c)).add(v);
     169             :                 }
     170             :             }
     171           9 :             else if(pc > above && c < above)
     172             :             {
     173           1 :                 out[numout++] = static_cast<vec>(*p).sub(v).mul((above - c)/(pc - c)).add(v);
     174             :             }
     175          10 :             out[numout++] = v;
     176             :         }
     177          15 :         p = &v;
     178          15 :         pc = c;
     179             :     }
     180           3 :     return numout;
     181             : }
     182             : 
     183             : //LUT used for fast angle calculations ingame
     184             : //range 0 to 720 degrees to allow using offsets without needing slow modulus operators
     185             : extern const vec2 sincos360[721] =
     186             : {
     187             :     vec2(1.00000000, 0.00000000), vec2(0.99984770, 0.01745241), vec2(0.99939083, 0.03489950), vec2(0.99862953, 0.05233596), vec2(0.99756405, 0.06975647), vec2(0.99619470, 0.08715574), // 0
     188             :     vec2(0.99452190, 0.10452846), vec2(0.99254615, 0.12186934), vec2(0.99026807, 0.13917310), vec2(0.98768834, 0.15643447), vec2(0.98480775, 0.17364818), vec2(0.98162718, 0.19080900), // 6
     189             :     vec2(0.97814760, 0.20791169), vec2(0.97437006, 0.22495105), vec2(0.97029573, 0.24192190), vec2(0.96592583, 0.25881905), vec2(0.96126170, 0.27563736), vec2(0.95630476, 0.29237170), // 12
     190             :     vec2(0.95105652, 0.30901699), vec2(0.94551858, 0.32556815), vec2(0.93969262, 0.34202014), vec2(0.93358043, 0.35836795), vec2(0.92718385, 0.37460659), vec2(0.92050485, 0.39073113), // 18
     191             :     vec2(0.91354546, 0.40673664), vec2(0.90630779, 0.42261826), vec2(0.89879405, 0.43837115), vec2(0.89100652, 0.45399050), vec2(0.88294759, 0.46947156), vec2(0.87461971, 0.48480962), // 24
     192             :     vec2(0.86602540, 0.50000000), vec2(0.85716730, 0.51503807), vec2(0.84804810, 0.52991926), vec2(0.83867057, 0.54463904), vec2(0.82903757, 0.55919290), vec2(0.81915204, 0.57357644), // 30
     193             :     vec2(0.80901699, 0.58778525), vec2(0.79863551, 0.60181502), vec2(0.78801075, 0.61566148), vec2(0.77714596, 0.62932039), vec2(0.76604444, 0.64278761), vec2(0.75470958, 0.65605903), // 36
     194             :     vec2(0.74314483, 0.66913061), vec2(0.73135370, 0.68199836), vec2(0.71933980, 0.69465837), vec2(0.70710678, 0.70710678), vec2(0.69465837, 0.71933980), vec2(0.68199836, 0.73135370), // 42
     195             :     vec2(0.66913061, 0.74314483), vec2(0.65605903, 0.75470958), vec2(0.64278761, 0.76604444), vec2(0.62932039, 0.77714596), vec2(0.61566148, 0.78801075), vec2(0.60181502, 0.79863551), // 48
     196             :     vec2(0.58778525, 0.80901699), vec2(0.57357644, 0.81915204), vec2(0.55919290, 0.82903757), vec2(0.54463904, 0.83867057), vec2(0.52991926, 0.84804810), vec2(0.51503807, 0.85716730), // 54
     197             :     vec2(0.50000000, 0.86602540), vec2(0.48480962, 0.87461971), vec2(0.46947156, 0.88294759), vec2(0.45399050, 0.89100652), vec2(0.43837115, 0.89879405), vec2(0.42261826, 0.90630779), // 60
     198             :     vec2(0.40673664, 0.91354546), vec2(0.39073113, 0.92050485), vec2(0.37460659, 0.92718385), vec2(0.35836795, 0.93358043), vec2(0.34202014, 0.93969262), vec2(0.32556815, 0.94551858), // 66
     199             :     vec2(0.30901699, 0.95105652), vec2(0.29237170, 0.95630476), vec2(0.27563736, 0.96126170), vec2(0.25881905, 0.96592583), vec2(0.24192190, 0.97029573), vec2(0.22495105, 0.97437006), // 72
     200             :     vec2(0.20791169, 0.97814760), vec2(0.19080900, 0.98162718), vec2(0.17364818, 0.98480775), vec2(0.15643447, 0.98768834), vec2(0.13917310, 0.99026807), vec2(0.12186934, 0.99254615), // 78
     201             :     vec2(0.10452846, 0.99452190), vec2(0.08715574, 0.99619470), vec2(0.06975647, 0.99756405), vec2(0.05233596, 0.99862953), vec2(0.03489950, 0.99939083), vec2(0.01745241, 0.99984770), // 84
     202             :     vec2(0.00000000, 1.00000000), vec2(-0.01745241, 0.99984770), vec2(-0.03489950, 0.99939083), vec2(-0.05233596, 0.99862953), vec2(-0.06975647, 0.99756405), vec2(-0.08715574, 0.99619470), // 90
     203             :     vec2(-0.10452846, 0.99452190), vec2(-0.12186934, 0.99254615), vec2(-0.13917310, 0.99026807), vec2(-0.15643447, 0.98768834), vec2(-0.17364818, 0.98480775), vec2(-0.19080900, 0.98162718), // 96
     204             :     vec2(-0.20791169, 0.97814760), vec2(-0.22495105, 0.97437006), vec2(-0.24192190, 0.97029573), vec2(-0.25881905, 0.96592583), vec2(-0.27563736, 0.96126170), vec2(-0.29237170, 0.95630476), // 102
     205             :     vec2(-0.30901699, 0.95105652), vec2(-0.32556815, 0.94551858), vec2(-0.34202014, 0.93969262), vec2(-0.35836795, 0.93358043), vec2(-0.37460659, 0.92718385), vec2(-0.39073113, 0.92050485), // 108
     206             :     vec2(-0.40673664, 0.91354546), vec2(-0.42261826, 0.90630779), vec2(-0.43837115, 0.89879405), vec2(-0.45399050, 0.89100652), vec2(-0.46947156, 0.88294759), vec2(-0.48480962, 0.87461971), // 114
     207             :     vec2(-0.50000000, 0.86602540), vec2(-0.51503807, 0.85716730), vec2(-0.52991926, 0.84804810), vec2(-0.54463904, 0.83867057), vec2(-0.55919290, 0.82903757), vec2(-0.57357644, 0.81915204), // 120
     208             :     vec2(-0.58778525, 0.80901699), vec2(-0.60181502, 0.79863551), vec2(-0.61566148, 0.78801075), vec2(-0.62932039, 0.77714596), vec2(-0.64278761, 0.76604444), vec2(-0.65605903, 0.75470958), // 126
     209             :     vec2(-0.66913061, 0.74314483), vec2(-0.68199836, 0.73135370), vec2(-0.69465837, 0.71933980), vec2(-0.70710678, 0.70710678), vec2(-0.71933980, 0.69465837), vec2(-0.73135370, 0.68199836), // 132
     210             :     vec2(-0.74314483, 0.66913061), vec2(-0.75470958, 0.65605903), vec2(-0.76604444, 0.64278761), vec2(-0.77714596, 0.62932039), vec2(-0.78801075, 0.61566148), vec2(-0.79863551, 0.60181502), // 138
     211             :     vec2(-0.80901699, 0.58778525), vec2(-0.81915204, 0.57357644), vec2(-0.82903757, 0.55919290), vec2(-0.83867057, 0.54463904), vec2(-0.84804810, 0.52991926), vec2(-0.85716730, 0.51503807), // 144
     212             :     vec2(-0.86602540, 0.50000000), vec2(-0.87461971, 0.48480962), vec2(-0.88294759, 0.46947156), vec2(-0.89100652, 0.45399050), vec2(-0.89879405, 0.43837115), vec2(-0.90630779, 0.42261826), // 150
     213             :     vec2(-0.91354546, 0.40673664), vec2(-0.92050485, 0.39073113), vec2(-0.92718385, 0.37460659), vec2(-0.93358043, 0.35836795), vec2(-0.93969262, 0.34202014), vec2(-0.94551858, 0.32556815), // 156
     214             :     vec2(-0.95105652, 0.30901699), vec2(-0.95630476, 0.29237170), vec2(-0.96126170, 0.27563736), vec2(-0.96592583, 0.25881905), vec2(-0.97029573, 0.24192190), vec2(-0.97437006, 0.22495105), // 162
     215             :     vec2(-0.97814760, 0.20791169), vec2(-0.98162718, 0.19080900), vec2(-0.98480775, 0.17364818), vec2(-0.98768834, 0.15643447), vec2(-0.99026807, 0.13917310), vec2(-0.99254615, 0.12186934), // 168
     216             :     vec2(-0.99452190, 0.10452846), vec2(-0.99619470, 0.08715574), vec2(-0.99756405, 0.06975647), vec2(-0.99862953, 0.05233596), vec2(-0.99939083, 0.03489950), vec2(-0.99984770, 0.01745241), // 174
     217             :     vec2(-1.00000000, 0.00000000), vec2(-0.99984770, -0.01745241), vec2(-0.99939083, -0.03489950), vec2(-0.99862953, -0.05233596), vec2(-0.99756405, -0.06975647), vec2(-0.99619470, -0.08715574), // 180
     218             :     vec2(-0.99452190, -0.10452846), vec2(-0.99254615, -0.12186934), vec2(-0.99026807, -0.13917310), vec2(-0.98768834, -0.15643447), vec2(-0.98480775, -0.17364818), vec2(-0.98162718, -0.19080900), // 186
     219             :     vec2(-0.97814760, -0.20791169), vec2(-0.97437006, -0.22495105), vec2(-0.97029573, -0.24192190), vec2(-0.96592583, -0.25881905), vec2(-0.96126170, -0.27563736), vec2(-0.95630476, -0.29237170), // 192
     220             :     vec2(-0.95105652, -0.30901699), vec2(-0.94551858, -0.32556815), vec2(-0.93969262, -0.34202014), vec2(-0.93358043, -0.35836795), vec2(-0.92718385, -0.37460659), vec2(-0.92050485, -0.39073113), // 198
     221             :     vec2(-0.91354546, -0.40673664), vec2(-0.90630779, -0.42261826), vec2(-0.89879405, -0.43837115), vec2(-0.89100652, -0.45399050), vec2(-0.88294759, -0.46947156), vec2(-0.87461971, -0.48480962), // 204
     222             :     vec2(-0.86602540, -0.50000000), vec2(-0.85716730, -0.51503807), vec2(-0.84804810, -0.52991926), vec2(-0.83867057, -0.54463904), vec2(-0.82903757, -0.55919290), vec2(-0.81915204, -0.57357644), // 210
     223             :     vec2(-0.80901699, -0.58778525), vec2(-0.79863551, -0.60181502), vec2(-0.78801075, -0.61566148), vec2(-0.77714596, -0.62932039), vec2(-0.76604444, -0.64278761), vec2(-0.75470958, -0.65605903), // 216
     224             :     vec2(-0.74314483, -0.66913061), vec2(-0.73135370, -0.68199836), vec2(-0.71933980, -0.69465837), vec2(-0.70710678, -0.70710678), vec2(-0.69465837, -0.71933980), vec2(-0.68199836, -0.73135370), // 222
     225             :     vec2(-0.66913061, -0.74314483), vec2(-0.65605903, -0.75470958), vec2(-0.64278761, -0.76604444), vec2(-0.62932039, -0.77714596), vec2(-0.61566148, -0.78801075), vec2(-0.60181502, -0.79863551), // 228
     226             :     vec2(-0.58778525, -0.80901699), vec2(-0.57357644, -0.81915204), vec2(-0.55919290, -0.82903757), vec2(-0.54463904, -0.83867057), vec2(-0.52991926, -0.84804810), vec2(-0.51503807, -0.85716730), // 234
     227             :     vec2(-0.50000000, -0.86602540), vec2(-0.48480962, -0.87461971), vec2(-0.46947156, -0.88294759), vec2(-0.45399050, -0.89100652), vec2(-0.43837115, -0.89879405), vec2(-0.42261826, -0.90630779), // 240
     228             :     vec2(-0.40673664, -0.91354546), vec2(-0.39073113, -0.92050485), vec2(-0.37460659, -0.92718385), vec2(-0.35836795, -0.93358043), vec2(-0.34202014, -0.93969262), vec2(-0.32556815, -0.94551858), // 246
     229             :     vec2(-0.30901699, -0.95105652), vec2(-0.29237170, -0.95630476), vec2(-0.27563736, -0.96126170), vec2(-0.25881905, -0.96592583), vec2(-0.24192190, -0.97029573), vec2(-0.22495105, -0.97437006), // 252
     230             :     vec2(-0.20791169, -0.97814760), vec2(-0.19080900, -0.98162718), vec2(-0.17364818, -0.98480775), vec2(-0.15643447, -0.98768834), vec2(-0.13917310, -0.99026807), vec2(-0.12186934, -0.99254615), // 258
     231             :     vec2(-0.10452846, -0.99452190), vec2(-0.08715574, -0.99619470), vec2(-0.06975647, -0.99756405), vec2(-0.05233596, -0.99862953), vec2(-0.03489950, -0.99939083), vec2(-0.01745241, -0.99984770), // 264
     232             :     vec2(-0.00000000, -1.00000000), vec2(0.01745241, -0.99984770), vec2(0.03489950, -0.99939083), vec2(0.05233596, -0.99862953), vec2(0.06975647, -0.99756405), vec2(0.08715574, -0.99619470), // 270
     233             :     vec2(0.10452846, -0.99452190), vec2(0.12186934, -0.99254615), vec2(0.13917310, -0.99026807), vec2(0.15643447, -0.98768834), vec2(0.17364818, -0.98480775), vec2(0.19080900, -0.98162718), // 276
     234             :     vec2(0.20791169, -0.97814760), vec2(0.22495105, -0.97437006), vec2(0.24192190, -0.97029573), vec2(0.25881905, -0.96592583), vec2(0.27563736, -0.96126170), vec2(0.29237170, -0.95630476), // 282
     235             :     vec2(0.30901699, -0.95105652), vec2(0.32556815, -0.94551858), vec2(0.34202014, -0.93969262), vec2(0.35836795, -0.93358043), vec2(0.37460659, -0.92718385), vec2(0.39073113, -0.92050485), // 288
     236             :     vec2(0.40673664, -0.91354546), vec2(0.42261826, -0.90630779), vec2(0.43837115, -0.89879405), vec2(0.45399050, -0.89100652), vec2(0.46947156, -0.88294759), vec2(0.48480962, -0.87461971), // 294
     237             :     vec2(0.50000000, -0.86602540), vec2(0.51503807, -0.85716730), vec2(0.52991926, -0.84804810), vec2(0.54463904, -0.83867057), vec2(0.55919290, -0.82903757), vec2(0.57357644, -0.81915204), // 300
     238             :     vec2(0.58778525, -0.80901699), vec2(0.60181502, -0.79863551), vec2(0.61566148, -0.78801075), vec2(0.62932039, -0.77714596), vec2(0.64278761, -0.76604444), vec2(0.65605903, -0.75470958), // 306
     239             :     vec2(0.66913061, -0.74314483), vec2(0.68199836, -0.73135370), vec2(0.69465837, -0.71933980), vec2(0.70710678, -0.70710678), vec2(0.71933980, -0.69465837), vec2(0.73135370, -0.68199836), // 312
     240             :     vec2(0.74314483, -0.66913061), vec2(0.75470958, -0.65605903), vec2(0.76604444, -0.64278761), vec2(0.77714596, -0.62932039), vec2(0.78801075, -0.61566148), vec2(0.79863551, -0.60181502), // 318
     241             :     vec2(0.80901699, -0.58778525), vec2(0.81915204, -0.57357644), vec2(0.82903757, -0.55919290), vec2(0.83867057, -0.54463904), vec2(0.84804810, -0.52991926), vec2(0.85716730, -0.51503807), // 324
     242             :     vec2(0.86602540, -0.50000000), vec2(0.87461971, -0.48480962), vec2(0.88294759, -0.46947156), vec2(0.89100652, -0.45399050), vec2(0.89879405, -0.43837115), vec2(0.90630779, -0.42261826), // 330
     243             :     vec2(0.91354546, -0.40673664), vec2(0.92050485, -0.39073113), vec2(0.92718385, -0.37460659), vec2(0.93358043, -0.35836795), vec2(0.93969262, -0.34202014), vec2(0.94551858, -0.32556815), // 336
     244             :     vec2(0.95105652, -0.30901699), vec2(0.95630476, -0.29237170), vec2(0.96126170, -0.27563736), vec2(0.96592583, -0.25881905), vec2(0.97029573, -0.24192190), vec2(0.97437006, -0.22495105), // 342
     245             :     vec2(0.97814760, -0.20791169), vec2(0.98162718, -0.19080900), vec2(0.98480775, -0.17364818), vec2(0.98768834, -0.15643447), vec2(0.99026807, -0.13917310), vec2(0.99254615, -0.12186934), // 348
     246             :     vec2(0.99452190, -0.10452846), vec2(0.99619470, -0.08715574), vec2(0.99756405, -0.06975647), vec2(0.99862953, -0.05233596), vec2(0.99939083, -0.03489950), vec2(0.99984770, -0.01745241), // 354
     247             :     vec2(1.00000000, 0.00000000), vec2(0.99984770, 0.01745241), vec2(0.99939083, 0.03489950), vec2(0.99862953, 0.05233596), vec2(0.99756405, 0.06975647), vec2(0.99619470, 0.08715574), // 360
     248             :     vec2(0.99452190, 0.10452846), vec2(0.99254615, 0.12186934), vec2(0.99026807, 0.13917310), vec2(0.98768834, 0.15643447), vec2(0.98480775, 0.17364818), vec2(0.98162718, 0.19080900), // 366
     249             :     vec2(0.97814760, 0.20791169), vec2(0.97437006, 0.22495105), vec2(0.97029573, 0.24192190), vec2(0.96592583, 0.25881905), vec2(0.96126170, 0.27563736), vec2(0.95630476, 0.29237170), // 372
     250             :     vec2(0.95105652, 0.30901699), vec2(0.94551858, 0.32556815), vec2(0.93969262, 0.34202014), vec2(0.93358043, 0.35836795), vec2(0.92718385, 0.37460659), vec2(0.92050485, 0.39073113), // 378
     251             :     vec2(0.91354546, 0.40673664), vec2(0.90630779, 0.42261826), vec2(0.89879405, 0.43837115), vec2(0.89100652, 0.45399050), vec2(0.88294759, 0.46947156), vec2(0.87461971, 0.48480962), // 384
     252             :     vec2(0.86602540, 0.50000000), vec2(0.85716730, 0.51503807), vec2(0.84804810, 0.52991926), vec2(0.83867057, 0.54463904), vec2(0.82903757, 0.55919290), vec2(0.81915204, 0.57357644), // 390
     253             :     vec2(0.80901699, 0.58778525), vec2(0.79863551, 0.60181502), vec2(0.78801075, 0.61566148), vec2(0.77714596, 0.62932039), vec2(0.76604444, 0.64278761), vec2(0.75470958, 0.65605903), // 396
     254             :     vec2(0.74314483, 0.66913061), vec2(0.73135370, 0.68199836), vec2(0.71933980, 0.69465837), vec2(0.70710678, 0.70710678), vec2(0.69465837, 0.71933980), vec2(0.68199836, 0.73135370), // 402
     255             :     vec2(0.66913061, 0.74314483), vec2(0.65605903, 0.75470958), vec2(0.64278761, 0.76604444), vec2(0.62932039, 0.77714596), vec2(0.61566148, 0.78801075), vec2(0.60181502, 0.79863551), // 408
     256             :     vec2(0.58778525, 0.80901699), vec2(0.57357644, 0.81915204), vec2(0.55919290, 0.82903757), vec2(0.54463904, 0.83867057), vec2(0.52991926, 0.84804810), vec2(0.51503807, 0.85716730), // 414
     257             :     vec2(0.50000000, 0.86602540), vec2(0.48480962, 0.87461971), vec2(0.46947156, 0.88294759), vec2(0.45399050, 0.89100652), vec2(0.43837115, 0.89879405), vec2(0.42261826, 0.90630779), // 420
     258             :     vec2(0.40673664, 0.91354546), vec2(0.39073113, 0.92050485), vec2(0.37460659, 0.92718385), vec2(0.35836795, 0.93358043), vec2(0.34202014, 0.93969262), vec2(0.32556815, 0.94551858), // 426
     259             :     vec2(0.30901699, 0.95105652), vec2(0.29237170, 0.95630476), vec2(0.27563736, 0.96126170), vec2(0.25881905, 0.96592583), vec2(0.24192190, 0.97029573), vec2(0.22495105, 0.97437006), // 432
     260             :     vec2(0.20791169, 0.97814760), vec2(0.19080900, 0.98162718), vec2(0.17364818, 0.98480775), vec2(0.15643447, 0.98768834), vec2(0.13917310, 0.99026807), vec2(0.12186934, 0.99254615), // 438
     261             :     vec2(0.10452846, 0.99452190), vec2(0.08715574, 0.99619470), vec2(0.06975647, 0.99756405), vec2(0.05233596, 0.99862953), vec2(0.03489950, 0.99939083), vec2(0.01745241, 0.99984770), // 444
     262             :     vec2(0.00000000, 1.00000000), vec2(-0.01745241, 0.99984770), vec2(-0.03489950, 0.99939083), vec2(-0.05233596, 0.99862953), vec2(-0.06975647, 0.99756405), vec2(-0.08715574, 0.99619470), // 450
     263             :     vec2(-0.10452846, 0.99452190), vec2(-0.12186934, 0.99254615), vec2(-0.13917310, 0.99026807), vec2(-0.15643447, 0.98768834), vec2(-0.17364818, 0.98480775), vec2(-0.19080900, 0.98162718), // 456
     264             :     vec2(-0.20791169, 0.97814760), vec2(-0.22495105, 0.97437006), vec2(-0.24192190, 0.97029573), vec2(-0.25881905, 0.96592583), vec2(-0.27563736, 0.96126170), vec2(-0.29237170, 0.95630476), // 462
     265             :     vec2(-0.30901699, 0.95105652), vec2(-0.32556815, 0.94551858), vec2(-0.34202014, 0.93969262), vec2(-0.35836795, 0.93358043), vec2(-0.37460659, 0.92718385), vec2(-0.39073113, 0.92050485), // 468
     266             :     vec2(-0.40673664, 0.91354546), vec2(-0.42261826, 0.90630779), vec2(-0.43837115, 0.89879405), vec2(-0.45399050, 0.89100652), vec2(-0.46947156, 0.88294759), vec2(-0.48480962, 0.87461971), // 474
     267             :     vec2(-0.50000000, 0.86602540), vec2(-0.51503807, 0.85716730), vec2(-0.52991926, 0.84804810), vec2(-0.54463904, 0.83867057), vec2(-0.55919290, 0.82903757), vec2(-0.57357644, 0.81915204), // 480
     268             :     vec2(-0.58778525, 0.80901699), vec2(-0.60181502, 0.79863551), vec2(-0.61566148, 0.78801075), vec2(-0.62932039, 0.77714596), vec2(-0.64278761, 0.76604444), vec2(-0.65605903, 0.75470958), // 486
     269             :     vec2(-0.66913061, 0.74314483), vec2(-0.68199836, 0.73135370), vec2(-0.69465837, 0.71933980), vec2(-0.70710678, 0.70710678), vec2(-0.71933980, 0.69465837), vec2(-0.73135370, 0.68199836), // 492
     270             :     vec2(-0.74314483, 0.66913061), vec2(-0.75470958, 0.65605903), vec2(-0.76604444, 0.64278761), vec2(-0.77714596, 0.62932039), vec2(-0.78801075, 0.61566148), vec2(-0.79863551, 0.60181502), // 498
     271             :     vec2(-0.80901699, 0.58778525), vec2(-0.81915204, 0.57357644), vec2(-0.82903757, 0.55919290), vec2(-0.83867057, 0.54463904), vec2(-0.84804810, 0.52991926), vec2(-0.85716730, 0.51503807), // 504
     272             :     vec2(-0.86602540, 0.50000000), vec2(-0.87461971, 0.48480962), vec2(-0.88294759, 0.46947156), vec2(-0.89100652, 0.45399050), vec2(-0.89879405, 0.43837115), vec2(-0.90630779, 0.42261826), // 510
     273             :     vec2(-0.91354546, 0.40673664), vec2(-0.92050485, 0.39073113), vec2(-0.92718385, 0.37460659), vec2(-0.93358043, 0.35836795), vec2(-0.93969262, 0.34202014), vec2(-0.94551858, 0.32556815), // 516
     274             :     vec2(-0.95105652, 0.30901699), vec2(-0.95630476, 0.29237170), vec2(-0.96126170, 0.27563736), vec2(-0.96592583, 0.25881905), vec2(-0.97029573, 0.24192190), vec2(-0.97437006, 0.22495105), // 522
     275             :     vec2(-0.97814760, 0.20791169), vec2(-0.98162718, 0.19080900), vec2(-0.98480775, 0.17364818), vec2(-0.98768834, 0.15643447), vec2(-0.99026807, 0.13917310), vec2(-0.99254615, 0.12186934), // 528
     276             :     vec2(-0.99452190, 0.10452846), vec2(-0.99619470, 0.08715574), vec2(-0.99756405, 0.06975647), vec2(-0.99862953, 0.05233596), vec2(-0.99939083, 0.03489950), vec2(-0.99984770, 0.01745241), // 534
     277             :     vec2(-1.00000000, 0.00000000), vec2(-0.99984770, -0.01745241), vec2(-0.99939083, -0.03489950), vec2(-0.99862953, -0.05233596), vec2(-0.99756405, -0.06975647), vec2(-0.99619470, -0.08715574), // 540
     278             :     vec2(-0.99452190, -0.10452846), vec2(-0.99254615, -0.12186934), vec2(-0.99026807, -0.13917310), vec2(-0.98768834, -0.15643447), vec2(-0.98480775, -0.17364818), vec2(-0.98162718, -0.19080900), // 546
     279             :     vec2(-0.97814760, -0.20791169), vec2(-0.97437006, -0.22495105), vec2(-0.97029573, -0.24192190), vec2(-0.96592583, -0.25881905), vec2(-0.96126170, -0.27563736), vec2(-0.95630476, -0.29237170), // 552
     280             :     vec2(-0.95105652, -0.30901699), vec2(-0.94551858, -0.32556815), vec2(-0.93969262, -0.34202014), vec2(-0.93358043, -0.35836795), vec2(-0.92718385, -0.37460659), vec2(-0.92050485, -0.39073113), // 558
     281             :     vec2(-0.91354546, -0.40673664), vec2(-0.90630779, -0.42261826), vec2(-0.89879405, -0.43837115), vec2(-0.89100652, -0.45399050), vec2(-0.88294759, -0.46947156), vec2(-0.87461971, -0.48480962), // 564
     282             :     vec2(-0.86602540, -0.50000000), vec2(-0.85716730, -0.51503807), vec2(-0.84804810, -0.52991926), vec2(-0.83867057, -0.54463904), vec2(-0.82903757, -0.55919290), vec2(-0.81915204, -0.57357644), // 570
     283             :     vec2(-0.80901699, -0.58778525), vec2(-0.79863551, -0.60181502), vec2(-0.78801075, -0.61566148), vec2(-0.77714596, -0.62932039), vec2(-0.76604444, -0.64278761), vec2(-0.75470958, -0.65605903), // 576
     284             :     vec2(-0.74314483, -0.66913061), vec2(-0.73135370, -0.68199836), vec2(-0.71933980, -0.69465837), vec2(-0.70710678, -0.70710678), vec2(-0.69465837, -0.71933980), vec2(-0.68199836, -0.73135370), // 582
     285             :     vec2(-0.66913061, -0.74314483), vec2(-0.65605903, -0.75470958), vec2(-0.64278761, -0.76604444), vec2(-0.62932039, -0.77714596), vec2(-0.61566148, -0.78801075), vec2(-0.60181502, -0.79863551), // 588
     286             :     vec2(-0.58778525, -0.80901699), vec2(-0.57357644, -0.81915204), vec2(-0.55919290, -0.82903757), vec2(-0.54463904, -0.83867057), vec2(-0.52991926, -0.84804810), vec2(-0.51503807, -0.85716730), // 594
     287             :     vec2(-0.50000000, -0.86602540), vec2(-0.48480962, -0.87461971), vec2(-0.46947156, -0.88294759), vec2(-0.45399050, -0.89100652), vec2(-0.43837115, -0.89879405), vec2(-0.42261826, -0.90630779), // 600
     288             :     vec2(-0.40673664, -0.91354546), vec2(-0.39073113, -0.92050485), vec2(-0.37460659, -0.92718385), vec2(-0.35836795, -0.93358043), vec2(-0.34202014, -0.93969262), vec2(-0.32556815, -0.94551858), // 606
     289             :     vec2(-0.30901699, -0.95105652), vec2(-0.29237170, -0.95630476), vec2(-0.27563736, -0.96126170), vec2(-0.25881905, -0.96592583), vec2(-0.24192190, -0.97029573), vec2(-0.22495105, -0.97437006), // 612
     290             :     vec2(-0.20791169, -0.97814760), vec2(-0.19080900, -0.98162718), vec2(-0.17364818, -0.98480775), vec2(-0.15643447, -0.98768834), vec2(-0.13917310, -0.99026807), vec2(-0.12186934, -0.99254615), // 618
     291             :     vec2(-0.10452846, -0.99452190), vec2(-0.08715574, -0.99619470), vec2(-0.06975647, -0.99756405), vec2(-0.05233596, -0.99862953), vec2(-0.03489950, -0.99939083), vec2(-0.01745241, -0.99984770), // 624
     292             :     vec2(-0.00000000, -1.00000000), vec2(0.01745241, -0.99984770), vec2(0.03489950, -0.99939083), vec2(0.05233596, -0.99862953), vec2(0.06975647, -0.99756405), vec2(0.08715574, -0.99619470), // 630
     293             :     vec2(0.10452846, -0.99452190), vec2(0.12186934, -0.99254615), vec2(0.13917310, -0.99026807), vec2(0.15643447, -0.98768834), vec2(0.17364818, -0.98480775), vec2(0.19080900, -0.98162718), // 636
     294             :     vec2(0.20791169, -0.97814760), vec2(0.22495105, -0.97437006), vec2(0.24192190, -0.97029573), vec2(0.25881905, -0.96592583), vec2(0.27563736, -0.96126170), vec2(0.29237170, -0.95630476), // 642
     295             :     vec2(0.30901699, -0.95105652), vec2(0.32556815, -0.94551858), vec2(0.34202014, -0.93969262), vec2(0.35836795, -0.93358043), vec2(0.37460659, -0.92718385), vec2(0.39073113, -0.92050485), // 648
     296             :     vec2(0.40673664, -0.91354546), vec2(0.42261826, -0.90630779), vec2(0.43837115, -0.89879405), vec2(0.45399050, -0.89100652), vec2(0.46947156, -0.88294759), vec2(0.48480962, -0.87461971), // 654
     297             :     vec2(0.50000000, -0.86602540), vec2(0.51503807, -0.85716730), vec2(0.52991926, -0.84804810), vec2(0.54463904, -0.83867057), vec2(0.55919290, -0.82903757), vec2(0.57357644, -0.81915204), // 660
     298             :     vec2(0.58778525, -0.80901699), vec2(0.60181502, -0.79863551), vec2(0.61566148, -0.78801075), vec2(0.62932039, -0.77714596), vec2(0.64278761, -0.76604444), vec2(0.65605903, -0.75470958), // 666
     299             :     vec2(0.66913061, -0.74314483), vec2(0.68199836, -0.73135370), vec2(0.69465837, -0.71933980), vec2(0.70710678, -0.70710678), vec2(0.71933980, -0.69465837), vec2(0.73135370, -0.68199836), // 672
     300             :     vec2(0.74314483, -0.66913061), vec2(0.75470958, -0.65605903), vec2(0.76604444, -0.64278761), vec2(0.77714596, -0.62932039), vec2(0.78801075, -0.61566148), vec2(0.79863551, -0.60181502), // 678
     301             :     vec2(0.80901699, -0.58778525), vec2(0.81915204, -0.57357644), vec2(0.82903757, -0.55919290), vec2(0.83867057, -0.54463904), vec2(0.84804810, -0.52991926), vec2(0.85716730, -0.51503807), // 684
     302             :     vec2(0.86602540, -0.50000000), vec2(0.87461971, -0.48480962), vec2(0.88294759, -0.46947156), vec2(0.89100652, -0.45399050), vec2(0.89879405, -0.43837115), vec2(0.90630779, -0.42261826), // 690
     303             :     vec2(0.91354546, -0.40673664), vec2(0.92050485, -0.39073113), vec2(0.92718385, -0.37460659), vec2(0.93358043, -0.35836795), vec2(0.93969262, -0.34202014), vec2(0.94551858, -0.32556815), // 696
     304             :     vec2(0.95105652, -0.30901699), vec2(0.95630476, -0.29237170), vec2(0.96126170, -0.27563736), vec2(0.96592583, -0.25881905), vec2(0.97029573, -0.24192190), vec2(0.97437006, -0.22495105), // 702
     305             :     vec2(0.97814760, -0.20791169), vec2(0.98162718, -0.19080900), vec2(0.98480775, -0.17364818), vec2(0.98768834, -0.15643447), vec2(0.99026807, -0.13917310), vec2(0.99254615, -0.12186934), // 708
     306             :     vec2(0.99452190, -0.10452846), vec2(0.99619470, -0.08715574), vec2(0.99756405, -0.06975647), vec2(0.99862953, -0.05233596), vec2(0.99939083, -0.03489950), vec2(0.99984770, -0.01745241), // 714
     307             :     vec2(1.00000000, 0.00000000) // 720
     308             : };
     309             : 
     310             : //object member functions
     311             : 
     312             : //vec
     313             : 
     314           6 : bool vec::insidebb(const ivec &o, int size) const
     315             : {
     316           6 :     return x >= o.x && x <= o.x + size && y >= o.y && y <= o.y + size && z >= o.z && z <= o.z + size;
     317             : }
     318             : 
     319           7 : bool vec::insidebb(const ivec &o, int size, int margin) const
     320             : {
     321           7 :     size += margin;
     322           7 :     return x >= o.x-margin && x <= o.x + size && y >= o.y-margin && y <= o.y + size && z >= o.z-margin && z <= o.z + size;
     323             : }
     324             : 
     325           4 : float vec::dist_to_bb(const ivec &min, const ivec &max) const
     326             : {
     327           4 :     float sqrdist = 0;
     328          16 :     for(int i = 0; i < 3; ++i)
     329             :     {
     330          12 :         if (v[i] < min[i])
     331             :         {
     332           4 :             float delta = v[i]-min[i];
     333           4 :             sqrdist += delta*delta;
     334             :         }
     335           8 :         else if(v[i] > max[i])
     336             :         {
     337           2 :             float delta = max[i]-v[i];
     338           2 :             sqrdist += delta*delta;
     339             :         }
     340             :     }
     341           4 :     return sqrtf(sqrdist);
     342             : }
     343             : 
     344           2 : float vec::project_bb(const ivec &min, const ivec &max) const
     345             : {
     346           2 :     return x*(x < 0 ? max.x : min.x) + y*(y < 0 ? max.y : min.y) + z*(z < 0 ? max.z : min.z);
     347             : }
     348             : 
     349             : //ivec
     350             : 
     351           2 : float ivec::dist(const plane &p) const { return x*p.x + y*p.y + z*p.z + p.offset; }

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