| 7 |
|
|
| 8 |
|
7/18/2014 G. Ward |
| 9 |
|
} |
| 10 |
< |
DEGREE : PI/180; |
| 10 |
> |
DEGREE` : PI/180; |
| 11 |
> |
mod`(n,d) : n - floor(n/d)*d; |
| 12 |
|
Acos(x) : if(x-1, 0, if(-1-x, PI, acos(x))) / DEGREE; |
| 12 |
– |
posangle(a) : if(-a, a + 2*PI, a) / DEGREE; |
| 13 |
– |
Atan2(y,x) : posangle(atan2(y,x)); |
| 13 |
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|
| 14 |
|
khpola(r) : select(r, 6.5, 19.5, 32.5, 45.5, 58.5, 71.5, 90); |
| 15 |
+ |
KHAPS : khpola(3) - khpola(2); |
| 16 |
|
khnaz(r) : select(r, 1, 8, 12, 16, 20, 12, 8); |
| 17 |
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khaccum(r) : if(r-.5, khnaz(r) + khaccum(r-1), 0); |
| 18 |
|
khfindrow(r, pol) : if(r-khpola(0)+.5, r, |
| 19 |
|
if(pol-khpola(r), khfindrow(r+1, pol), r) ); |
| 20 |
|
|
| 21 |
< |
khazn(azi,inc) : if((360-.5*inc)-azi, floor((azi+.5*inc)/inc), 0); |
| 21 |
> |
RHS = 1; { Set to -1 for left-handed system } |
| 22 |
> |
JTR = 0; { Sharp bin boundaries by default } |
| 23 |
> |
{ Uniform perturbation function } |
| 24 |
> |
kjtr(n) = if(JTR, JTR*(.5 - rand(n*(9.54*Dx - 5.11*Dy + 1.37*Dz - 6.71))), 0); |
| 25 |
|
|
| 26 |
< |
khbin2(pol,azi) = if(pol-90, -1, |
| 26 |
> |
kazn(azi,inc) = floor( mod(azi + inc*(.5+kjtr(2)), 360) / inc ); |
| 27 |
> |
|
| 28 |
> |
khbin2(pol,azi) = |
| 29 |
|
select(khfindrow(1, pol), |
| 30 |
< |
khazn(azi,360/khnaz(1)), |
| 31 |
< |
khaccum(1) + khazn(azi,360/khnaz(2)), |
| 32 |
< |
khaccum(2) + khazn(azi,360/khnaz(3)), |
| 33 |
< |
khaccum(3) + khazn(azi,360/khnaz(4)), |
| 34 |
< |
khaccum(4) + khazn(azi,360/khnaz(5)), |
| 35 |
< |
khaccum(5) + khazn(azi,360/khnaz(6)), |
| 36 |
< |
khaccum(6) + khazn(azi,360/khnaz(7)) |
| 37 |
< |
) ); |
| 30 |
> |
kazn(azi,360/khnaz(1)), |
| 31 |
> |
khaccum(1) + kazn(azi,360/khnaz(2)), |
| 32 |
> |
khaccum(2) + kazn(azi,360/khnaz(3)), |
| 33 |
> |
khaccum(3) + kazn(azi,360/khnaz(4)), |
| 34 |
> |
khaccum(4) + kazn(azi,360/khnaz(5)), |
| 35 |
> |
khaccum(5) + kazn(azi,360/khnaz(6)), |
| 36 |
> |
khaccum(6) + kazn(azi,360/khnaz(7)) |
| 37 |
> |
); |
| 38 |
|
|
| 39 |
< |
RHS = 1; { set to -1 for left-handed system } |
| 39 |
> |
khbin1(zv,yv,xv) = if(zv, khbin2(min(max(0, Acos(zv) + KHAPS*kjtr(1)), 90), |
| 40 |
> |
atan2(yv,xv)/DEGREE), |
| 41 |
> |
-1); |
| 42 |
|
|
| 43 |
< |
khbin(Nx,Ny,Nz,Ux,Uy,Uz) = khbin2(Acos(-Dx*Nx-Dy*Ny-Dz*Nz), |
| 44 |
< |
Atan2(-Dx*Ux-Dy*Uy-Dz*Uz + (Nx*Dx+Ny*Dy+Nz*Dz)*(Nx*Ux+Ny*Uy+Nz*Uz), |
| 45 |
< |
-RHS*(Dx*(Uy*Nz-Uz*Ny) + Dy*(Uz*Nx-Ux*Nz) + Dz*(Ux*Ny-Uy*Nx)))); |
| 43 |
> |
khbin(Nx,Ny,Nz,Ux,Uy,Uz) = khbin1(-Dx*Nx-Dy*Ny-Dz*Nz, |
| 44 |
> |
-Dx*Ux-Dy*Uy-Dz*Uz + (Nx*Dx+Ny*Dy+Nz*Dz)*(Nx*Ux+Ny*Uy+Nz*Uz), |
| 45 |
> |
-RHS*(Dx*(Uy*Nz-Uz*Ny) + Dy*(Uz*Nx-Ux*Nz) + Dz*(Ux*Ny-Uy*Nx))); |
| 46 |
|
|
| 47 |
|
Nkhbins : khaccum(khnaz(0)); { Number of bins for one elevation } |
