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greg |
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#ifndef lint |
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greg |
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static const char RCSid[] = "$Id$"; |
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greg |
2.1 |
#endif |
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/* |
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greg |
2.3 |
* Compute a 4-byte direction code (int4 type defined in standard.h). |
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* |
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* Mean accuracy is 0.0022 degrees, with a maximum error of 0.0058 degrees. |
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greg |
2.1 |
*/ |
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#include "standard.h" |
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#define DCSCALE 11585.2 /* (1<<13)*sqrt(2) */ |
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#define FXNEG 01 |
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#define FYNEG 02 |
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#define FZNEG 04 |
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#define F1X 010 |
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#define F2Z 020 |
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#define F1SFT 5 |
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#define F2SFT 18 |
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#define FMASK 0x1fff |
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int4 |
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encodedir(dv) /* encode a normalized direction vector */ |
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FVECT dv; |
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{ |
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register int4 dc = 0; |
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int cd[3], cm; |
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register int i; |
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for (i = 0; i < 3; i++) |
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if (dv[i] < 0.) { |
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cd[i] = dv[i] * -DCSCALE; |
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dc |= FXNEG<<i; |
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} else |
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cd[i] = dv[i] * DCSCALE; |
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if (cd[0] <= cd[1]) { |
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dc |= F1X | cd[0] << F1SFT; |
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cm = cd[1]; |
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} else { |
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dc |= cd[1] << F1SFT; |
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cm = cd[0]; |
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} |
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if (cd[2] <= cm) |
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dc |= F2Z | cd[2] << F2SFT; |
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else |
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dc |= cm << F2SFT; |
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greg |
2.2 |
if (!dc) /* don't generate 0 code */ |
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dc = F1X; |
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greg |
2.1 |
return(dc); |
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} |
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void |
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decodedir(dv, dc) /* decode a normalized direction vector */ |
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register FVECT dv; /* returned */ |
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register int4 dc; |
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{ |
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double d1, d2, der; |
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d1 = ((dc>>F1SFT & FMASK)+.5)*(1./DCSCALE); |
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d2 = ((dc>>F2SFT & FMASK)+.5)*(1./DCSCALE); |
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der = sqrt(1. - d1*d1 - d2*d2); |
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if (dc & F1X) { |
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dv[0] = d1; |
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if (dc & F2Z) { dv[1] = der; dv[2] = d2; } |
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else { dv[1] = d2; dv[2] = der; } |
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} else { |
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dv[1] = d1; |
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if (dc & F2Z) { dv[0] = der; dv[2] = d2; } |
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else { dv[0] = d2; dv[2] = der; } |
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} |
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if (dc & FXNEG) dv[0] = -dv[0]; |
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if (dc & FYNEG) dv[1] = -dv[1]; |
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if (dc & FZNEG) dv[2] = -dv[2]; |
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} |
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double |
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dir2diff(dc1, dc2) /* approx. radians^2 between directions */ |
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int4 dc1, dc2; |
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{ |
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FVECT v1, v2; |
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decodedir(v1, dc1); |
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decodedir(v2, dc2); |
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return(2. - 2.*DOT(v1,v2)); |
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} |
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double |
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fdir2diff(dc1, v2) /* approx. radians^2 between directions */ |
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int4 dc1; |
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register FVECT v2; |
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{ |
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FVECT v1; |
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decodedir(v1, dc1); |
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return(2. - 2.*DOT(v1,v2)); |
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} |
