/usr/share/povray-3.7/include/meshmaker.inc is in povray-includes 1:3.7.0.4-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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// To view a copy of this license, visit http://creativecommons.org/licenses/by-sa/3.0/ or send a
// letter to Creative Commons, 444 Castro Street, Suite 900, Mountain View, California, 94041, USA.
// Persistence of Vision Ray Tracer Include File
// File: meshmaker.inc
// Vers: 3.5
//
// Desc: Macros and functions used in builing mesh2 objects.
// Packed together and updated for POV-Ray 3.7
// by Friedrich A. Lohmueller, April-2013.
// Original author: Ingo Janssen
// Date: 2002/04/27
// Rev 2002/10/23 : Added the CheckFileName macro.
// Added the option to write Wavefront *.obj files.
// Added the option to write *.pcm files, for Chris Colefax' Compressed Mesh Macros.
// Added the option to write *.arr files, this writes only the arrays to a file.
// Added SweepSpline1() and SweepSpline2() by Mike Williams, based on an idea by Greg M. Johnson.
#version 3.5;
#ifndef(makemesh_Inc_Temp)
#declare makemesh_Inc_Temp = version;
#ifdef(View_POV_Include_Stack)
#debug "including makemesh.inc\n"
#end
//====== Macros and Functions ======//
/*==============
LInterpolate() : Linear interpolation of a vector or float between Min and Max.
Min : minimal float value or vector.
Max : Maximal float value or vector.
Val : A float in the range 0 - 1.
*/
#macro LInterpolate(Val, Min, Max)
(Min+(Max-Min)*Val)
#end
/*=========
RangeMM() : Adjusts input values in the range [RMin, RMax] to fit in the range
[Min, Max].
Val : A float value in the range [Rmin, Rmax].
*/
#declare RangeMM=function(Val,Rmin,Rmax,Min,Max){
(((Val-Rmin)/(Rmax-Rmin))*(Max-Min)+Min)
}
/*=================
If Return has a value of 0 the mesh will not be build,
but it will be parsed from file.
*/
#macro CheckFileName(FileName)
#local Len=strlen(FileName);
#if(Len>0)
#if(file_exists(FileName))
#if(Len>=4)
#local Ext=strlwr(substr(FileName,Len-3,4))
#if (strcmp(Ext,".obj")=0 | strcmp(Ext,".pcm")=0 | strcmp(Ext,".arr")=0)
#local Return=99;
#else
#local Return=0;
#end
#else
#local Return=0;
#end
#else
#if(Len>=4)
#local Ext=strlwr(substr(FileName,Len-3,4))
#if (strcmp(Ext,".obj")=0 | strcmp(Ext,".pcm")=0 | strcmp(Ext,".arr")=0)
#if (strcmp(Ext,".obj")=0)
#local Return=2;
#end
#if (strcmp(Ext,".pcm")=0)
#local Return=3;
#end
#if (strcmp(Ext,".arr")=0)
#local Return=4;
#end
#else
#local Return=1;
#end
#else
#local Return=1;
#end
#end
#else
#local Return=1;
#end
(Return)
#end
/*=================
BuildWriteMesh2() : Builds and optionally writes a mesh2 object based on 3 input
arrays, the number of quads in U and V direction and a filename.
VecArr : The array that contains the vertices of the triangles in the mesh.
NormArr : The array with the normal vectors that go with the vertices.
UVArr : The array containing the uv_vectors.
U : The amount of subdivisions of the surface in the u-direction.
V : The amount of subdivisions in the v-direction.
Based on the U and V values the face_indices of the triangles in the
mesh are calculated.
FileName : The name of the file to which the mesh will be written. If is an
empty string (""), no file will be written.
If the file extension is 'obj' a Wavefront objectfile will be written.
If the extension is 'pcm' a compressed mesh file is written.
If a file name is given, the macro will first check if it already exists.
If that is so, it will try to parse the existing file unless it's a '*.obj',
'*.pcm' or '*.arr' file as POV-Ray can not read them directly. In this case a new
mesh will be generated, but the existing files will _not_ be over-written.
*/
#macro BuildWriteMesh2(VecArr, NormArr, UVArr, U, V, FileName)
#if(strlen(FileName)!=0)
#local Write=CheckFileName(FileName);
#if(Write=99)
#local Write=0;
#end
#if (Write=0)
#debug concat(
"\n\n The exis","ting file: '", FileName ,"' will not be over-written\n",
" The mesh2 will not be parsed from the ", FileName," file",
"\n - vertex_vectors\n")
#else
#debug concat(
"\n\n Building mesh2 & Writing file: '", FileName ,
"'\n - vertex_vectors\n"
)
#fopen MeshFile FileName write
#switch (Write)
#case(1)
#write(
MeshFile,
"#declare Surface = mesh2 {\n"
)
#break
#case(2)
#write(
MeshFile,
"# File: ",FileName,"\n",
)
#break
#case(3)
#write(
MeshFile,
"\"PCM1\",\n"
)
#break
#case(4)
#write(
MeshFile,
"// Arrays for building a mesh2{} object.\n",
"// the arrays are declared with the following names:\n",
"// VertexVectors, NormalVectors, UVVectors and FaceIndices.\n\n"
)
#break
#end
#end
#else
#local Write=0;
#debug concat("\n\n Building mesh2: \n - vertex_vectors\n")
#end
#local NumVertices=dimension_size(VecArr,1);
#switch (Write)
#case(1)
#write(
MeshFile,
" vertex_vectors {\n",
" ", str(NumVertices,0,0),"\n "
)
#break
#case(2)
#write(
MeshFile,
"# Vertices: ",str(NumVertices,0,0),"\n"
)
#break
#case(3)
#write(
MeshFile,
str(2*NumVertices,0,0),",\n"
)
#break
#case(4)
#write(
MeshFile,
"#declare VertexVectors= array[",str(NumVertices,0,0),"] {\n "
)
#break
#end
mesh2 {
vertex_vectors {
NumVertices
#local I=0;
#while (I<NumVertices)
VecArr[I]
#switch(Write)
#case(1)
#write(MeshFile, VecArr[I])
#break
#case(2)
#write(
MeshFile,
"v ", VecArr[I].x," ", VecArr[I].y," ", VecArr[I].z,"\n"
)
#break
#case(3)
#write(
MeshFile,
VecArr[I].x,",", VecArr[I].y,",", VecArr[I].z,",\n"
)
#break
#case(4)
#write(MeshFile, VecArr[I])
#break
#end
#local I=I+1;
#if(Write=1 | Write=4)
#if(mod(I,3)=0)
#write(MeshFile,"\n ")
#end
#end
#end
#switch(Write)
#case(1)
#write(MeshFile,"\n }\n")
#break
#case(2)
#write(MeshFile,"\n")
#break
#case(3)
// do nothing
#break
#case(4)
#write(MeshFile,"\n}\n")
#break
#end
}
#debug concat(" - normal_vectors\n")
#local NumVertices=dimension_size(NormArr,1);
#switch(Write)
#case(1)
#write(
MeshFile,
" normal_vectors {\n",
" ", str(NumVertices,0,0),"\n "
)
#break
#case(2)
#write(
MeshFile,
"# Normals: ",str(NumVertices,0,0),"\n"
)
#break
#case(3)
// do nothing
#break
#case(4)
#write(
MeshFile,
"#declare NormalVectors= array[",str(NumVertices,0,0),"] {\n "
)
#break
#end
normal_vectors {
NumVertices
#local I=0;
#while (I<NumVertices)
NormArr[I]
#switch(Write)
#case(1)
#write(MeshFile NormArr[I])
#break
#case(2)
#write(
MeshFile,
"vn ", NormArr[I].x," ", NormArr[I].y," ", NormArr[I].z,"\n"
)
#break
#case(3)
#write(
MeshFile,
NormArr[I].x,",", NormArr[I].y,",", NormArr[I].z,",\n"
)
#break
#case(4)
#write(MeshFile NormArr[I])
#break
#end
#local I=I+1;
#if(Write=1 | Write=4)
#if(mod(I,3)=0)
#write(MeshFile,"\n ")
#end
#end
#end
#switch(Write)
#case(1)
#write(MeshFile,"\n }\n")
#break
#case(2)
#write(MeshFile,"\n")
#break
#case(3)
//do nothing
#break
#case(4)
#write(MeshFile,"\n}\n")
#break
#end
}
#debug concat(" - uv_vectors\n")
#local NumVertices=dimension_size(UVArr,1);
#switch(Write)
#case(1)
#write(
MeshFile,
" uv_vectors {\n",
" ", str(NumVertices,0,0),"\n "
)
#break
#case(2)
#write(
MeshFile,
"# UV-vectors: ",str(NumVertices,0,0),"\n"
)
#break
#case(3)
// do nothing, *.pcm does not support uv-vectors
#break
#case(4)
#write(
MeshFile,
"#declare UVVectors= array[",str(NumVertices,0,0),"] {\n "
)
#break
#end
uv_vectors {
NumVertices
#local I=0;
#while (I<NumVertices)
UVArr[I]
#switch(Write)
#case(1)
#write(MeshFile UVArr[I])
#break
#case(2)
#write(
MeshFile,
"vt ", UVArr[I].u," ", UVArr[I].v,"\n"
)
#break
#case(3)
//do nothing
#break
#case(4)
#write(MeshFile UVArr[I])
#break
#end
#local I=I+1;
#if(Write=1 | Write=4)
#if(mod(I,3)=0)
#write(MeshFile,"\n ")
#end
#end
#end
#switch(Write)
#case(1)
#write(MeshFile,"\n }\n")
#break
#case(2)
#write(MeshFile,"\n")
#break
#case(3)
//do nothing
#break
#case(4)
#write(MeshFile,"\n}\n")
#break
#end
}
#debug concat(" - face_indices\n")
#declare NumFaces=U*V*2;
#switch(Write)
#case(1)
#write(
MeshFile,
" face_indices {\n"
" ", str(NumFaces,0,0),"\n "
)
#break
#case(2)
#write (
MeshFile,
"# faces: ",str(NumFaces,0,0),"\n"
)
#break
#case(3)
#write (
MeshFile,
"0,",str(NumFaces,0,0),",\n"
)
#break
#case(4)
#write(
MeshFile,
"#declare FaceIndices= array[",str(NumFaces,0,0),"] {\n "
)
#break
#end
face_indices {
NumFaces
#local I=0;
#local H=0;
#local NumVertices=dimension_size(VecArr,1);
#while (I<V)
#local J=0;
#while (J<U)
#local Ind=(I*U)+I+J;
<Ind, Ind+1, Ind+U+2>, <Ind, Ind+U+1, Ind+U+2>
#switch(Write)
#case(1)
#write(
MeshFile,
<Ind, Ind+1, Ind+U+2>, <Ind, Ind+U+1, Ind+U+2>
)
#break
#case(2)
#write(
MeshFile,
"f ",Ind+1,"/",Ind+1,"/",Ind+1," ",Ind+1+1,"/",Ind+1+1,"/",Ind+1+1," ",Ind+U+2+1,"/",Ind+U+2+1,"/",Ind+U+2+1,"\n",
"f ",Ind+U+1+1,"/",Ind+U+1+1,"/",Ind+U+1+1," ",Ind+1,"/",Ind+1,"/",Ind+1," ",Ind+U+2+1,"/",Ind+U+2+1,"/",Ind+U+2+1,"\n"
)
#break
#case(3)
#write(
MeshFile,
Ind,",",Ind+NumVertices,",",Ind+1,",",Ind+1+NumVertices,",",Ind+U+2,",",Ind+U+2+NumVertices,",\n"
Ind+U+1,",",Ind+U+1+NumVertices,",",Ind,",",Ind+NumVertices,",",Ind+U+2,",",Ind+U+2+NumVertices,",\n"
)
#break
#case(4)
#write(
MeshFile,
<Ind, Ind+1, Ind+U+2>, <Ind, Ind+U+1, Ind+U+2>
)
#break
#end
#local J=J+1;
#local H=H+1;
#if(Write=1 | Write=4)
#if(mod(H,3)=0)
#write(MeshFile,"\n ")
#end
#end
#end
#local I=I+1;
#end
}
#switch(Write)
#case(1)
#write(MeshFile, "\n }\n}")
#fclose MeshFile
#debug concat(" Done writing\n")
#break
#case(2)
#fclose MeshFile
#debug concat(" Done writing\n")
#break
#case(3)
#fclose MeshFile
#debug concat(" Done writing\n")
#break
#case(4)
#write(MeshFile, "\n}\n}")
#fclose MeshFile
#debug concat(" Done writing\n")
#break
#end
}
#end
//====== End of Macros and Functions ======// former "meshmaker.inc"
// former "msm.inc"
/*======
The uv_coordinates come from the square <0,0> - <1,1>.
The spline is evaluated from t=0 to t=1. For the normal calculation,
it is required that all splines (also linear_spline) have one extra
point before t=0 and after t=1.
*/
#macro BuildSpline(Arr, SplType)
#local Ds=dimension_size(Arr,1);
#local Asc=asc(strupr(SplType));
#if(Asc!=67 & Asc!=76 & Asc!=81)
#local Asc=76;
#debug "\nWrong spline type defined (C/c/L/l/N/n/Q/q), using default linear_spline\n"
#end
spline {
#switch (Asc)
#case (67) //C cubic_spline
cubic_spline
#break
#case (76) //L linear_spline
linear_spline
#break
#case (78) //N linear_spline
natural_spline
#break
#case (81) //Q Quadratic_spline
quadratic_spline
#break
#end
#local Add=1/((Ds-2)-1);
#local J=0-Add;
#local I=0;
#while (I<Ds)
J
Arr[I]
#local I=I+1;
#local J=J+Add;
#end
}
#end
#macro MSM(SplineArray, SplRes, Interp_type, InterpRes, FileName)
#declare Build=CheckFileName(FileName);
#if(Build=0)
#debug concat("\n Parsing mesh2 from file: ", FileName, "\n")
#include FileName
object{Surface}
#else
#local NumVertices=(SplRes+1)*(InterpRes+1);
#local NumFaces=SplRes*InterpRes*2;
#debug concat("\n Calculating ",str(NumVertices,0,0)," vertices for ", str(NumFaces,0,0)," triangles\n\n")
#local VecArr=array[NumVertices]
#local NormArr=array[NumVertices]
#local UVArr=array[NumVertices]
#local N=dimension_size(SplineArray,1);
#local TempSplArr0=array[N];
#local TempSplArr1=array[N];
#local TempSplArr2=array[N];
#local PosStep=1/SplRes;
#local InterpStep=1/InterpRes;
#local Count=0;
#local Pos=0;
#while(Pos<=1)
#local I=0;
#if (Pos=0)
#while (I<N)
#local Spl=spline{SplineArray[I]}
#local TempSplArr0[I]=<0,0,0>+Spl(Pos);
#local TempSplArr1[I]=<0,0,0>+Spl(Pos+PosStep);
#local TempSplArr2[I]=<0,0,0>+Spl(Pos-PosStep);
#local I=I+1;
#end
#local S0=BuildSpline(TempSplArr0, Interp_type)
#local S1=BuildSpline(TempSplArr1, Interp_type)
#local S2=BuildSpline(TempSplArr2, Interp_type)
#else
#while (I<N)
#local Spl=spline{SplineArray[I]}
#local TempSplArr1[I]=<0,0,0>+Spl(Pos+PosStep);
#local I=I+1;
#end
#local S1=BuildSpline(TempSplArr1, Interp_type)
#end
#local J=0;
#while (J<=1)
#local P0=<0,0,0>+S0(J);
#local P1=<0,0,0>+S1(J);
#local P2=<0,0,0>+S2(J);
#local P3=<0,0,0>+S0(J+InterpStep);
#local P4=<0,0,0>+S0(J-InterpStep);
#local B1=P4-P0;
#local B2=P2-P0;
#local B3=P3-P0;
#local B4=P1-P0;
#local N1=vcross(B1,B2);
#local N2=vcross(B2,B3);
#local N3=vcross(B3,B4);
#local N4=vcross(B4,B1);
#local Norm=vnormalize((N1+N2+N3+N4));
#local VecArr[Count]=P0;
#local NormArr[Count]=Norm;
#local UVArr[Count]=<J,Pos>;
#local J=J+InterpStep;
#local Count=Count+1;
#end
#local S2=spline{S0}
#local S0=spline{S1}
#debug concat("\r Done ", str(Count,0,0)," vertices : ", str(100*Count/NumVertices,0,2)," %")
#local Pos=Pos+PosStep;
#end
BuildWriteMesh2(VecArr, NormArr, UVArr, InterpRes, SplRes, FileName)
#end
#end
// ========================== end of former "msm.inc" ======================================
// former param.inc =======================================================================
#declare EPS=(1e-12);
#declare EPSNorm=(1e-14);
#declare __FU=0; #declare __TU=0;
#declare __FV=0; #declare __TV=0;
#macro FromU(N)#local N=(N+EPS); #declare __FU=1; (N) #end
#macro ToU(N) #local N=(N-EPS); #declare __TU=1; (N) #end
#macro FromV(N)#local N=(N+EPS); #declare __FV=1; (N) #end
#macro ToV(N) #local N=(N-EPS); #declare __TV=1; (N) #end
#macro Parametric(__F1__, __F2__, __F3__, UVmin, UVmax, Iter_U, Iter_V, FileName)
#ifdef(__Fx) #undef __Fx #end
#ifdef(__Fy) #undef __Fy #end
#ifdef(__Fz) #undef __Fz #end
#declare __Fx= function(u,v){__F1__(u,v)}
#declare __Fy= function(u,v){__F2__(u,v)}
#declare __Fz= function(u,v){__F3__(u,v)}
Paramcalc(UVmin, UVmax, Iter_U, Iter_V, FileName)
#end
#macro Paramcalc(UVmin, UVmax, Iter_U, Iter_V, FileName)
#declare Build=CheckFileName(FileName);
#if(Build=0)
#debug concat("\n Parsing mesh2 from file: ", FileName, "\n")
#include FileName
object{Surface}
#else
#local Umin=UVmin.u; #local Vmin=UVmin.v;
#local Umax=UVmax.u; #local Vmax=UVmax.v;
#local dU=Umax-Umin;
#local dV=Vmax-Vmin;
#local iU=dU/Iter_U;
#local iV=dV/Iter_V;
#local NumVertices=(Iter_U+1)*(Iter_V+1);
#local NumFaces=Iter_U*Iter_V*2;
#debug concat("\n Calculating ",str(NumVertices,0,0)," vertices for ", str(NumFaces,0,0)," triangles\n\n")
#debug "\n"
#local VecArr=array[NumVertices]
#local NormArr=array[NumVertices]
#local UVArr=array[NumVertices]
#local Count=0;
#local I=0;
#local V=Vmin-iV;
#while (I<Iter_V+1)
#local V=V+iV;
#local J=0;
#local U=Umin-iU;
#while (J<Iter_U+1)
#local U=U+iU;
#local P=<(__Fx(U,V)),(__Fy(U,V)),(__Fz(U,V))>; // | | |
#local Un=U+(iU); // -- x --- Vn ---- x --
#local Vn=V+(iV); // | / | / |
#local Um=U-(iU); // | / | / |
#local Vm=V-(iV); // - Um ---- P ---- Un -
#if(__TU&Un>=Umax) // | / | / |
#local Un=U+EPSNorm; // | / | / |
#end // -- x --- Vm ---- x --
#if(__TV&Vn>=Vmax) // | | |
#local Vn=V+EPSNorm;
#end
#if(__FU&Um<=Umin)
#local Um=U-EPSNorm;
#end
#if(__FV&Vm<=Vmin)
#local Vm=V-EPSNorm;
#end
#local N1=<(__Fx(Un,V)),(__Fy(Un,V)),(__Fz(Un,V))>; // Recalculating these points on each pass
#local N2=<(__Fx(U,Vn)),(__Fy(U,Vn)),(__Fz(U,Vn))>; // seems to be faster than storing them in,
#local N3=<(__Fx(Um,V)),(__Fy(Um,V)),(__Fz(Um,V))>; // and retreiving them from arrays.
#local N4=<(__Fx(U,Vm)),(__Fy(U,Vm)),(__Fz(U,Vm))>;
#local A=(N1-P);
#local B=(N2-P);
#local C=(N3-P);
#local D=(N4-P);
#local N1=vcross(A,B);
#local N2=vcross(B,C);
#local N3=vcross(C,D);
#local N4=vcross(D,A);
#local NormArr[Count]=vnormalize(N4+N1+N2+N3);
#local VecArr[Count]=P;
#local UVArr[Count]=<(U-Umin)/dU,(V-Vmin)/dV>;
#local Count=Count+1;
#local J=J+1;
#end
#debug concat("\r Done ", str(Count,0,0)," vertices : ",str(100*Count/NumVertices,0,2)," %")
#local I=I+1;
#end
BuildWriteMesh2(VecArr, NormArr, UVArr, Iter_U, Iter_V, FileName)
#end
#declare __FU=0; #declare __TU=0;
#declare __FV=0; #declare __TV=0;
#undef __Fx
#undef __Fy
#undef __Fz
#end
// ====================== end of former "param.inc" ====================================
// former "prism.inc" ==================================================================
/*======
Prism(Spl, ResSpl, Height, HRes, FileName): Extrudes the spline along the y-axis.
The uv_coordinates come from the square <0,0> - <1,1>.
Spl : The spline to be extruded.
The spline is evaluated from t=0 to t=1. For the normal calculation,
it is required that all splines (also linear_spline) have one extra
point before t=0 and after t=1.
ResSpl : The amount of triangles to be used along the spline
Height : The amount of POV-units to extrude the shape.
HRes : The amount of triangles to be used in the height.
FileName : The name of the file to which the mesh will be written. If is an
empty string (""), no file will be written.
If the file extension is 'obj' a Wavefront objectfile will be written.
If the extension is 'pcm' a compressed mesh file is written.
If a file name is given, the macro will first check if it already exists.
If that is so, it will try to parse the existing file unless it's a '*.obj',
'*.pcm' or '*.arr' file as POV-Ray can not read them directly. In this case a new
mesh will be generated, but the existing files will _not_ be over-written.
*/
#macro Prism(Spl, ResSpl, Height, HRes, FileName)
#local __LinSpl=spline {
linear_spline
-1,<0,-1,0>
1e-50, <0,0,0>
1,<0,Height,0>
2,<0,Height+1,0>
}
Prism1(Spl, ResSpl, __LinSpl, HRes,FileName)
#end
/*======
Prism1(Spl, ResSpl, PSpl, PRes, FileName): Extrudes the spline along the y-axis.
In every step the spline is scaled by the 'relative' distance from the
y-axis of the second spline (PSpl).
The uv_coordinates come from the square <0,0> - <1,1>.
Spl : The spline to be extruded.
The spline is evaluated from t=0 to t=1. For the normal calculation,
it is required that all splines (also linear_spline) have one extra
point before t=0 and after t=1.
ResSpl : The amount of triangles to be used along the spline.
PSpl : The spline that determines by what amount the extrusion is scaled in
each step. The scaling is based on the relative distance from the y-axis.
That is, at t=0 the scale is always 1, so that the start of the shape is
identical to the spline Spl.
PSpl also sets the height of the resulting shape (its y-value at t=1).
The spline is evaluated from t=0 to t=1. For the normal calculation,
it is required that all splines (also linear_spline) have one extra
point before t=0 and after t=1.
FileName : The name of the file to which the mesh will be written. If is an empty
string (""), no file will be written. If a file name is given, the macro
will first check if it already exists. If that is so, it will expect a
mesh2 with the name "Surface" and try to parse the existing file.
*/
#macro Prism1(Spl, ResSpl, PSpl, PRes, FileName)
#declare Build=CheckFileName(FileName);
#if(Build=0)
#debug concat("\n Parsing mesh2 from file: ", FileName, "\n")
#include FileName
object{Surface}
#else
#local NumVertices=(PRes+1)*(ResSpl+1);
#local NumFaces=PRes*ResSpl*2;
#debug concat("\n Calculating ",str(NumVertices,0,0)," vertices for ", str(NumFaces,0,0)," triangles\n\n")
#local VecArr=array[NumVertices]
#local NormArr=array[NumVertices]
#local UVArr=array[NumVertices]
#local H=PSpl(0);
#local Scale=pow( pow(H.x,2) + pow(H.z,2), 0.5);
#local H=H.y;
#local P=Spl(0);
#local P=pow( pow(P.x,2) + pow(P.z,2), 0.5);
#local Corr=(P-Scale);
#local IStep=1/PRes;
#local JStep=1/ResSpl;
#local Count=0;
#local I=0;
#while(I<=1)
#local Scale0=PSpl(I);
#local H0=<0,Scale0.y-H,0>;
#local Scale1=PSpl(I+IStep);
#local H1=<0,Scale1.y-H,0>;
#local Scale2=PSpl(I-IStep);
#local H2=<0,Scale2.y-H,0>;
#local Scale0=RangeMM( pow( pow(Scale0.x,2)+ pow(Scale0.z,2), 0.5)+(Corr), 0,P,0,1);
#local Scale1=RangeMM( pow( pow(Scale1.x,2)+ pow(Scale1.z,2), 0.5)+(Corr), 0,P,0,1);
#local Scale2=RangeMM( pow( pow(Scale2.x,2)+ pow(Scale2.z,2), 0.5)+(Corr), 0,P,0,1);
#local J=0;
#while (J<=1)
#local P0=(Spl(J)*Scale0)+H0;
#local P1=(Spl(J)*Scale1)+H1;
#local P2=(Spl(J)*Scale2)+H2;
#local P3=(Spl(J+JStep)*Scale0)+H0;
#local P4=(Spl(J-JStep)*Scale0)+H0;
#local B1=P4-P0;
#local B2=P2-P0;
#local B3=P3-P0;
#local B4=P1-P0;
#local N1=vcross(B1,B2);
#local N2=vcross(B2,B3);
#local N3=vcross(B3,B4);
#local N4=vcross(B4,B1);
#local Norm=vnormalize((N1+N2+N3+N4));
#local VecArr[Count]=P0;
#local NormArr[Count]=Norm;
#local UVArr[Count]=<J,I>;
#local J=J+JStep;
#local Count=Count+1;
#end
#debug concat("\r Done ", str(Count,0,0)," vertices : ", str(100*Count/NumVertices,0,2)," %")
#local I=I+IStep;
#end
BuildWriteMesh2(VecArr, NormArr, UVArr, ResSpl, PRes, FileName)
#end
#end
// ======================== end of former "prism.inc" =======================================
// former: lathe.inc
/*=======
Lathe(Spl, ResSpl, Rot, ResRot, FileName) : The Lathe macro generates an
object by rotating a two-dimensional curve about the y-axis. The
result is a mesh2 object. The uv_coordinates come from the square
<0,0> - <1,1>.
Spl : The spline to be rotated.
The spline is evaluated from t=0 to t=1. For the normal calculation,
it is required that all splines (also linear_spline) have one extra
point before t=0 and after t=1.
ResSpl : The amount of triangles to be used along the spline
Rot : The angle the spline has to be rotated.
ResRot : The amount of triangles to be used in the circumference.
FileName : The name of the file to which the mesh will be written. If is an
empty string (""), no file will be written.
If the file extension is 'obj' a Wavefront objectfile will be written.
If the extension is 'pcm' a compressed mesh file is written.
If a file name is given, the macro will first check if it already exists.
If that is so, it will try to parse the existing file unless it's a '*.obj',
'*.pcm' or '*.arr' file as POV-Ray can not read them directly. In this case a new
mesh will be generated, but the existing files will _not_ be over-written.
*/
#macro Lathe(Spl, ResSpl, Rot, ResRot, FileName)
#declare Build=CheckFileName(FileName);
#if(Build=0)
#debug concat("\n Parsing mesh2 from file: ", FileName, "\n")
#include FileName
object{Surface}
#else
#local NumVertices=(ResRot+1)*(ResSpl+1);
#local NumFaces=ResRot*ResSpl*2;
#debug concat("\n Calculating ",str(NumVertices,0,0)," vertices for ",str(NumFaces,0,0)," triangles\n\n")
#local I=0;
#local VNArr=array[ResSpl+1][2] //retreive the needed amount of points
#while (I<=ResSpl) //from the spline and calculate the
#local P0=Spl(I/ResSpl); //normals to go with these points.
#if (P0.x=0 & P0.z=0) //put the result in VNArr.
#local P0=<1e-25,P0.y,1e-25>;
#end
#if (I=0)
#local P1=Spl(((I-0.5)/ResSpl));
#local P2=Spl(((I+0.5)/ResSpl));
#else
#local P1=P2;
#local P2=0+Spl(((I+0.5)/ResSpl));
#end
#local P3=vrotate(P0,<0,1,0>);
#local P4=vrotate(P0,<0,-1,0>);
#local B1=P4-P0;
#local B2=P2-P0;
#local B3=P3-P0;
#local B4=P1-P0;
#local N1=vcross(B1,B2);
#local N2=vcross(B2,B3);
#local N3=vcross(B3,B4);
#local N4=vcross(B4,B1);
#local Norm=vnormalize((N1+N2+N3+N4)*-1);
#local VNArr[I][0]=P0;
#local VNArr[I][1]=Norm;
#local I=I+1;
#end
#local VecArr=array[NumVertices]
#local NormArr=array[NumVertices]
#local UVArr=array[NumVertices]
#local R=Rot/ResRot;
#local Dim=dimension_size(VNArr,1);
#local Count=0;
#local I=0;
#while (I<=ResRot)
#local J=0;
#while (J<Dim)
#local VecArr[Count]=vrotate(VNArr[J][0],<0,R*I,0>);
#local NormArr[Count]=vrotate(VNArr[J][1],<0,R*I,0>);
#local UVArr[Count]=<I/ResRot,J/(Dim-1)>;
#local J=J+1;
#local Count=Count+1;
#end
#debug concat("\r Done ", str(Count,0,0)," vertices : ",str(100*Count/NumVertices,0,2)," %")
#local I=I+1;
#end
BuildWriteMesh2(VecArr, NormArr, UVArr, ResSpl, ResRot, FileName)
#end
#end
// ========== end of former "lathe.inc" ===============================================
// former "coons.inc"
/*======
Coons(Spl1, Spl2, Spl3, Spl4, Iter_U, Iter_V, FileName): Generates a "coons
surface". The surface is defined by four splines, all attached head
to tail to the previous / next one.
The uv_coordinates come from the square <0,0> - <1,1>.
Spl1 - 4 : The four spline that define the surface.
The splines are evaluated from t=0 to t=1.
Iter_U : The resolution for the splines 1 and 3.
Iter_V : The resolution for the splines 2 and 4.
FileName : The name of the file to which the mesh will be written. If is an
empty string (""), no file will be written.
If the file extension is 'obj' a Wavefront objectfile will be written.
If the extension is 'pcm' a compressed mesh file is written.
If a file name is given, the macro will first check if it already exists.
If that is so, it will try to parse the existing file unless it's a '*.obj',
'*.pcm' or '*.arr' file as POV-Ray can not read them directly. In this case a new
mesh will be generated, but the existing files will _not_ be over-written.
*/
#macro Coons(Spl1, Spl2, Spl3, Spl4, Iter_U, Iter_V, FileName)
#declare Build=CheckFileName(FileName);
#if(Build=0)
#debug concat("\n Parsing mesh2 from file: ", FileName, "\n")
#include FileName
object{Surface}
#else
#local NumVertices=(Iter_U+1)*(Iter_V+1);
#local NumFaces=Iter_U*Iter_V*2;
#debug concat("\n Calculating ", str(NumVertices,0,0), " vertices for ",str(NumFaces,0,0), " triangles\n\n")
#declare VecArr=array[NumVertices]
#declare NormArr=array[NumVertices]
#local UVArr=array[NumVertices]
#local Spl1_0=Spl1(0);
#local Spl2_0=Spl2(0);
#local Spl3_0=Spl3(0);
#local Spl4_0=Spl4(0);
#local UStep=1/Iter_U;
#local VStep=1/Iter_V;
#local Count=0;
#local I=0;
#while (I<=1)
#local Im=1-I;
#local J=0;
#while (J<=1)
#local Jm=1-J;
#local C0=Im*Jm*(Spl1_0)+Im*J*(Spl2_0)+I*J*(Spl3_0)+I*Jm*(Spl4_0);
#local P0=LInterpolate(I, Spl1(J), Spl3(Jm)) +
LInterpolate(Jm, Spl2(I), Spl4(Im))-C0;
#declare VecArr[Count]=P0;
#local UVArr[Count]=<J,I>;
#local J=J+UStep;
#local Count=Count+1;
#end
#debug concat(
"\r Done ", str(Count,0,0)," vertices : ",
str(100*Count/NumVertices,0,2)," %"
)
#local I=I+VStep;
#end
#debug "\r Normals "
#local Count=0;
#local I=0;
#while (I<=Iter_V)
#local J=0;
#while (J<=Iter_U)
#local Ind=(I*Iter_U)+I+J;
#local P0=VecArr[Ind];
#if(J=0)
#local P1=P0+(P0-VecArr[Ind+1]);
#else
#local P1=VecArr[Ind-1];
#end
#if (J=Iter_U)
#local P2=P0+(P0-VecArr[Ind-1]);
#else
#local P2=VecArr[Ind+1];
#end
#if (I=0)
#local P3=P0+(P0-VecArr[Ind+Iter_U+1]);
#else
#local P3=VecArr[Ind-Iter_U-1];
#end
#if (I=Iter_V)
#local P4=P0+(P0-VecArr[Ind-Iter_U-1]);
#else
#local P4=VecArr[Ind+Iter_U+1];
#end
#local B1=P4-P0;
#local B2=P2-P0;
#local B3=P3-P0;
#local B4=P1-P0;
#local N1=vcross(B1,B2);
#local N2=vcross(B2,B3);
#local N3=vcross(B3,B4);
#local N4=vcross(B4,B1);
#local Norm=vnormalize((N1+N2+N3+N4));
#declare NormArr[Count]=Norm;
#local J=J+1;
#local Count=Count+1;
#end
#debug concat("\r Done ", str(Count,0,0)," normals : ",str(100*Count/NumVertices,0,2), " %")
#local I=I+1;
#end
BuildWriteMesh2(VecArr, NormArr, UVArr, Iter_U, Iter_V, FileName)
#end
#end
// ========================= end of former "coons.inc" =============================
// former "twovar.inc"
#macro TwoVarSurf(__Fuv, Urange, Vrange, Iter_U, Iter_V, FileName)
#declare Build=CheckFileName(FileName);
#if(Build=0)
#debug concat("\n Parsing mesh2 from file: ", FileName, "\n")
#include FileName
object{Surface}
#else
#local Umin=Urange.u;
#local Umax=Urange.v;
#local Vmin=Vrange.u;
#local Vmax=Vrange.v;
#local dU=Umax-Umin;
#local dV=Vmax-Vmin;
#local iU=dU/Iter_U;
#local iV=dV/Iter_V;
#local NumVertices=(Iter_U+1)*(Iter_V+1);
#declare NumFaces=Iter_U*Iter_V*2;
#debug concat("\n Calculating ",str(NumVertices,0,0)," vertices for ", str(NumFaces,0,0)," triangles\n\n")
#local VecArr=array[NumVertices]
#local NormArr=array[NumVertices]
#local UVArr=array[NumVertices]
#local Count=0;
#local I=0;
#while (I<Iter_V+1)
#local V=RangeMM(I,0,Iter_V,Vmin,Vmax);
#local J=0;
#while (J<Iter_U+1)
#local U=RangeMM(J,0,Iter_U,Umin,Umax);
#if(J=0)
#local P0=<U,V,__Fuv(U,V)>;
#local P2=<U-iU,V,__Fuv(U-iU,V)>;
#else
#local P0=P1;
#local P2=P0;
#end
#local P1=<U+iU,V,__Fuv(U+iU,V)>;
#local P3=<U,V+iV,__Fuv(U,V+iV)>;
#local P4=<U,V-iV,__Fuv(U,V-iV)>;
#local B1=P4-P0;
#local B2=P2-P0;
#local B3=P3-P0;
#local B4=P1-P0;
#local N1=vcross(B1,B2);
#local N2=vcross(B2,B3);
#local N3=vcross(B3,B4);
#local N4=vcross(B4,B1);
#local Norm=vnormalize((N1+N2+N3+N4));
#local VecArr[Count]=P0;
#local NormArr[Count]=Norm;
#local UVArr[Count]=<(U-Umin)/dU,(V-Vmin)/dV>;
#local Count=Count+1;
#local J=J+1;
#end
#debug concat("\r Done ", str(Count,0,0)," vertices : ",str(100*Count/NumVertices,0,2)," %")
#local I=I+1;
#end
BuildWriteMesh2(VecArr, NormArr, UVArr, Iter_U, Iter_V, FileName)
#end
#end
// =============== end of former "twovar.inc"
// Persistence of Vision Ray Tracer Include File
// File: SweepSpline.inc
// For POV Version: 3.5
// Desc: Macro sweeping one spline along another
// SweepSpline Version: 3
// Date: 1-Mar-2004
// Auth: Mike Williams
// Based on an idea by Greg M. Johnson
// Requires makemesh.inc by Ingo Janssen
//
// Parameters
// Track A spline that specifies the path along the object
// The section of the spline between control points 0 and 1 will be used
// Shape A spline that describes the cross section
// The section of the spline between control points 0 and 1 will be used
// Waist A spline with x coordinates that specify the radius of the spheresweep
// The section of the spline between control points 0 and 1 will be used
// U The number of vertices along the path
// V The number of vertices around the circumpherence
// FileName The name of the file to which the mesh will be written. If is an
// empty string (""), no file will be written. If a file name is given,
// the macro will first check if it already exists. If that is so, it
// will expect a mesh2 with the name "Surface" and try to parse the
// existing file.
//#include "meshmaker.inc" //former: #include "makemesh.inc"
#macro FindPoint(su,sv)
// Spline point and radius
#local P = Track(su);
#local W = vlength(Waist(su).x);
// Vertex position
// To prevent flipping, calculate from the previous DRY vector
#local DRX = W*vnormalize(vcross(DR,DRY));
#local DRY = W*vnormalize(vcross(DRX,DR));
P + (Shape(sv).x)*DRX + (Shape(sv).y)*DRY;
#end
#macro SweepSpline1(Track,Shape,Waist,U,V,Filename)
#if(strlen(Filename)>0)
#if(file_exists(Filename))
#debug concat("\n Parsing mesh2 from file: ", Filename, "\n")
#local Build=0;
#include Filename
object{Surface}
#else
#local Build=1;
#end
#else
#local Build=1;
#end
#if (Build)
#local Verts = array[U*(V+1)]
#local Norms = array[U*(V+1)]
#local UV = array[U*(V+1)]
// Calculate the Vertexes, Normals and UV arrays
#local DRY = y; // Arbitrary initial vector that X will be perpendicular to
#local uu=0;
#while (uu<U)
#local vv=0;
#while (vv<=V)
// UV information
#local su = uu/U;
#local sv = vv/V;
#local UV[uu*(V+1)+vv] = <su,sv>;
// Direction the spline is pointing
#local DR = Track(su+0.001)-Track(su-0.001);
// Find some points
#local P = FindPoint(su,sv);
#local Verts[uu*(V+1)+vv] = P;
#local Pu0=P;
#local Pu1 = FindPoint(su+0.001,sv);
#if (vlength(Pu1-Pu0)=0)
#local Pu1 = Pu0;
#local Pu0 = FindPoint(su-0.001,sv);
#end
#local Pv0=P;
#local Pv1 = FindPoint(su,sv+0.001);
#if (vlength(Pv1-Pv0)=0)
#local Pv1 = Pv0;
#local Pv0 = FindPoint(su,sv-0.001);
#end
// calculate the normal
#local Norms[uu*(V+1)+vv] = vcross(Pu1-Pu0,Pv1-Pv0);
#local vv=vv+1;
#end
#local uu=uu+1;
#end
BuildWriteMesh2(Verts, Norms, UV, V, U-1, Filename)
#end
#end // ----------------------------------------------------- end SweepSpline1()
#macro SweepSpline2(Track,Shape,Waist,U,V,Filename)
#if(strlen(Filename)>0)
#if(file_exists(Filename))
#debug concat("\n Parsing mesh2 from file: ", Filename, "\n")
#local Build=0;
#include Filename
object{Surface}
#else
#local Build=1;
#end
#else
#local Build=1;
#end
#if (Build)#local Verts = array[U*(V+1)]
#local Norms = array[U*(V+1)]
#local UV = array[U*(V+1)]
// Calculate the Vertexes, Normals and UV arrays
#local DRY = y; // Arbitrary initial vector that X will be perpendicular to
#local uu=0;
#while (uu<U)
#local vv=0;
#while (vv<=V)
// UV information
#local su = uu/U;
#local sv = vv/V;
#local UV[uu*(V+1)+vv] = <su,sv>;
// Spline point and radius
#local P = Track(su);
#local W = vlength(Waist(su).x);
// Direction the spline is pointing
#local DR = Track(su+0.001)-Track(su-0.001);
// Vertex position
// To prevent flipping, calculate from the previous DRY vector
#local DRX = W*vnormalize(vcross(DR,DRY));
#local DRY = W*vnormalize(vcross(DRX,DR));
#local Verts[uu*(V+1)+vv] = P + (Shape(sv).x)*DRX + (Shape(sv).y)*DRY;
// Normal
#local NP1 = (Shape(sv).x)*DRX + (Shape(sv).y)*DRY;
#local NP2 = (Shape(sv+0.001).x)*DRX + (Shape(sv+0.001).y)*DRY;
#local DS = NP2-NP1;
#if (vlength(DS) = 0) // can happen at end point of Shape
#local NP1 = (Shape(sv-0.001).x)*DRX + (Shape(sv-0.001).y)*DRY;
#local NP2 = (Shape(sv+0.001).x)*DRX + (Shape(sv+0.001).y)*DRY;
#local DS = NP2-NP1;
#end
#local Norms[uu*(V+1)+vv] = vcross(DR,DS);
#local vv=vv+1;
#end
#local uu=uu+1;
#end
BuildWriteMesh2(Verts, Norms, UV, V, U-1, Filename)
#end
#end// ----------------------------------------------------- end SweepSpline2()
// ------------------------------------------------------
#version makemesh_Inc_Temp;
#end //ifndef
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