Options | |||
---|---|---|---|

Option | Param | Description | |

-H |
--no-header |
Suppress the syntax information section in BMG text files. | |

-B |
--brief |
Suppres the output of the description and print only the function type and syntax. | |

-l |
--long |
Normally only the function syntax is compared against the key. But if --long is set, the description is compared too. |

Function Reference | ||
---|---|---|

File Type |
Return Value & Function Name & Parameters |
Description |

* | int$(...) |
This debug function returns the number of parameters. |

* | *abs(val) |
Returns the absolute value of 'val'. If 'val' is a vector, the absolute value of each component is calculated. The return type is identical to the type of 'val'. |

* | flt|vecacos(val) |
Returns the arc cosine of 'val' in degree. If 'val' is a vector, the arc cosine of each component is calculated. |

* | flt|vecasin(val) |
Returns the arc sine of 'val' in degree. If 'val' is a vector, the arc sine of each component is calculated. |

* | flt|vecatan(val) |
Returns the arc tangent of 'val' in degree. If 'val' is a vector, the arc tangent of each component is calculated. |

* | floatatan2(x,z) |
Returns the arc tangent of 'z/x' in degree, using the signs of the two arguments to determine the quadrant of the result. Both arguments are converted to a float before operation. If 'x' is a vector, its x component is used. If 'z' is a vector, its z component is used. |

* | vectoraxisRot(pt,deg,axis1,axis2) |
The point 'pt' is rotated around the axis 'axis1->axis2' by 'deg' degree, which is a scalar. The other 3 parameters are converted to vectors before operation. |

* | flt|vecbezier(pos,v1,va[,vb],v2) |
Calculate the position 'pos' on a bezier curve going from 'v1' to 'v2'. 'va' and 'vb' are helper points. If 'vb' is not set, a quadratic bezier curve is calculated. Otherwise 'va' and 'vb' are set and a cubic bezier curve is calculated. Position 0.0 returns 'v1' and position 1.0 'v2'. All position values between 0.0 and 1.0 return a point of the calculated bezier curve between points 'v1' and 'v2'. If 'pos' is a vector, different positions for each coordinate are used.
If any parameter is a vector, all parameters are converted to vectors and the result is a vector. Otherwise all parameters are converted to floats and the result is a float. |

* | floatcalcNormals(p1,p2[,helper][,r]]) |
This function calculates 3 right-angled normals (index 0..2) for the vector 'p1..p2', 'normal[0]' is the direction of this vector. Is 'helper' is set, it is used to determine the direction of normal[1]. All 3 normals are multiplied by the factor 'r'. The function returns the distance between 'p1' and 'p2'. To get the normals, use function getNormal(). |

* | *ceil(val) |
Returns the smallest integral value that is not less than 'val'. If 'val' is a vector, the calculation is done for each component. The return type is identical to the type of 'val'. |

* | flt|veccos(val) |
Returns the cosine of 'val', where 'val' is given in degree. If 'val' is a vector, the cosine of each component is calculated. |

* | vectorcross(v1,v2) |
Returns the cross product of the 2 vectors 'v1' and 'v2'. |

* | floatdir([v1,]v2) |
The 3D direction in degree from position 'v1' to 'v2' is calculated. If 'v1' is not set, v(0,0,0) is used. The Z coordiante of the result is always 0.0. |

* | floatdot(v1,v2) |
Returns the dot product of the 2 vectors 'v1' and 'v2'. |

* | *echo(p1,...) |
This debug function prints all parameters, each in a separate line, and returns the first parameter. |

* | flt|vecexp(val) |
Returns the value of e (the base of natural logarithms) raised to the power of 'val'. If 'val' is a vector, the calculation is done for each component. |

* | floatfloat(val) |
Converts 'val' to a float value. |

* | *floor(val) |
Returns the largest integral value that is not greater than 'val'. If 'val' is a vector, the calculation is done for each component. The return type is identical to the type of 'val'. |

* | vectorgetNormal(index) |
This function returns the normal 'index' (0..2) of the last call of function calcNormals(). If 'index' is invalid, $NONE is returned. |

* | floathDir([v1,]v2) |
'hDir()' is the old name for 'yDir()'. The horizontal direction in degree from position 'v1' to 'v2' is calculated. If 'v1' is not set, v(0,0,0) is used. |

* | floathLen(v1[,v2]) |
Returns the horizontal length of the vector 'v1' (ignoring the y component). If 'v2' is set, the horizontal distance of both points is returned. |

* | floathLen2(v1[,v2]) |
Returns the square of the horizontal length of the vector 'v1' (ignoring the y component). If 'v2' is set, the horizontal square distance of both points is returned. |

* | vectorhRot(pt,deg[,origin]) |
'hRot()' is the old name for 'yRot()'. The point 'pt' is horizontal rotated around 'origin' by 'deg' degree. If 'pt' is a scalar, 'vz(pt)' is used. If 'origin' is not set, v(0,0,0) is used. |

* | intifLevel() |
This debug function returns the current IF..ENDIF level (number of active '@if's). |

* | intint(val) |
Converts 'val' to an integer value. |

* | intisDef(name) |
Returns 2, if variable 'name' is defined, or 1, if a variable with the base name is defined as vector, or 0, if it is not defined. |

* | intisFloat(name) |
Returns 2, if variable 'name' is defined as float with a value >0, or 1, if it is a float with a value <=0. Otherwise it returns 0. |

* | intisFunction(name) |
Returns 1, if 'name' is defined as system function, or 2, if 'name' is defined as user function, or 3, if 'name' is defined as system and as user function. Otherwise it's not a function and 0 is returned. |

* | intisInt(name) |
Returns 2, if variable 'name' is defined as an integer with a value >0, or 1, if it is an integer with a value <=0. Otherwise it returns 0. |

* | intisKCL() |
Returns 2, if the source is a KCL or OBJ named 'course.kcl' or 'course.txt' or 'course.txt.kcl', 1 if the source is any other KCL or OBJ, and 0 else. |

* | intisKMP() |
Returns 2, if the source is a KMP (binary or text) named 'course.kmp' or 'course.txt' or 'course.txt.kmp', 1 if the source is any other KMP (binary or text), and 0 else. |

* | intisMacro(name) |
Returns 2, if 'name' is defined as user function, or 1, if 'name' is defined as simple macro. Otherwise it's not a macro or user function and 0 is returned. |

* | intisNumeric(name) |
Returns 1, if variable 'name' is an integer, float or vector. Otherwise it returns 0. |

* | intisScalar(name) |
Returns 2, if variable 'name' is an integer or float with a value >0, or 1, if it is an integer or float with a value <=0. Otherwise it returns 0. |

* | intisVector(name) |
Returns 1, if variable 'name' is defined as vector. Otherwise it returns 0. |

* | vectorkcl$fall(pt,width[,typemask]) |
If a reference KCL is defined, search the lowest point below 'pt', that can be reached without collision. The point is expanded to a cube with edge length 'width' for the collision tests. If 'typemask' is set, only KCL types with related bit number set are recognized. Use kcl$fallFlag() to get the corespondent KCL flag. |

* | intkcl$fallFlag() |
This functions returns the corespondent KCL flag of the last call of kcl$fall(). The return value is the KCL flag of the colliding triangle, or -1 if no collision was found. |

* | floatlen(v1[,v2]) |
Returns the length of the vector 'v1'. If 'v2' is set, the distance of both points is returned. |

* | floatlen2(v1[,v2]) |
Returns the square od the length of the vector 'v1'. If 'v2' is set, the square distance of both points is returned. |

* | intline() |
This debug function returns the current line number. |

* | flt|veclog(val[,base]) |
If base is not set or invalid, the function returns the natural logarithm of 'val'. Otherwise base is converted to a float and logarithm with the entered base is returned (=log(val)/log(base)). If 'val' is a vector, the calculation is done for each component. |

* | intloopCount([level]) |
This debug function returns the loop counter of the specified loop level. If 'level' is omitted, the loop count of the current loop is returned. |

* | intloopLevel() |
This debug function returns the current loop level (number of active loops). |

* | *max(p1,...) |
Returns the maximum value of all parameters. If at least one parameter is a vector, the result is a vector too and the maximum value of each component is calculated. |

* | *mean(p1,...) |
Returns the arithmetic mean of all parameters. If at least one parameter is a vector, the result is a vector too and the maximum value of each component is calculated. The result type is UNSET, FLOAT or VECTOR, but never INT. |

* | *min(p1,...) |
Returns the minimum value of all parameters. If at least one parameter is a vector, the result is a vector too and the minimum value of each component is calculated. |

* | *minMax(val,minval,maxval) |
Returns 'max(min(val,minval),maxval)': Limit the value 'val' by 'minval' and 'maxval'. The return type is identical to the type of 'val'. |

* | intmSec() |
Returns the number of milliseconds since an unspecific timer start. Use differences between 2 calls to get the elapsed time. The 3 functions sec(), mSec() and uSec() use the same time base. |

* | *param(index) |
Returns the value of the macro or function parameter with the entered 1-based index. Therefor the private variable '$N' and one of '$1', '$2', ... are read. |

* | flt|vecpos(pos,p1,p2) |
This function returns the relative position 'pos' on the axis 'p1' to 'p2' by calculating 'p1+pos*(p2-p1)'. If one of the 3 arguments is a vector, the result is also a vector. |

* | flt|vecpow(a,b) |
Returns the value of 'a' raised to the power of 'b'. If 'a' is a vector, each component is raised by 'b'. The operator ** does the same, but have integer support. |

* | intptInConvexPolygon(pt,p1,..,pN) |
All parameters are converted into vectors, but only the x and z coordinates are used. 'p1..pN' are up to 100 vertices of a convex polygon. The function returns 1, if the point 'pt' is inside the polygon (including the lines), and 0 otherwise.
Function status() will return the direction of the polygon: -1 for counterclockwise, +1 for clockwise and 0 for unknown. |

* | intptsInConvexQuad(q1,q2,q3,q4,pt1,...,ptN) |
All parameters are converted into vectors, but only the x and z coordinates are used. 'q1..q4' define a convex quadrilateral, and 'pt1..ptN' is a list of up to 100 points. The functions returns the number of points, that are inside the quadrilateral. Points on the line are counted as inside too.
Function status() will return the direction of the quadrilateral: -1 for counterclockwise, +1 for clockwise and 0 for unknown. |

* | intptsInConvexTri(t1,t2,t3,pt1,...,ptN) |
All parameters are converted into vectors, but only the x and z coordinates are used. 't1..t3' define a convex triangle, and 'pt1..ptN' is a list of up to 100 points. The functions returns the number of points, that are inside the triangle. Points on the line are counted as inside too.
Function status() will return the direction of the triangle: -1 for counterclockwise, +1 for clockwise and 0 for unknown. |

* | intptsInCuboid(cube_min,cube_max,pt1,...) |
All parameters are converted to vectors. 'cube_*' describe 2 diagonal corners of a rectangular cuboid, assuming that 'cube_min<=cube_max' is true for each coordinate. The functions returns the number of points ('pt1', 'pt2', ...) that are inside of the cube including the border. |

* | intptsInCuboidS(cube1,cube2,pt1,...) |
This is the sloppy version of ptInCuboid(): All parameters are converted to vectors. 'cube*' describe any 2 diagonal corners of a rectangular cuboid. The functions returns the number of points ('pt1', 'pt2', ...) that are inside of the cube including the border. |

* | *random([max]) |
Returns a random number between 0 and 'max', but never equal 'max'. The return type is identical to the type of 'max'. If 'max' is not set, 1.0 is assumed. If 'max' is a vector, a vector with three random numbers will be returned. |

* | *result() |
Returns the last include, macro or function result. The value is usually '$NONE', unless the command '@RETURN' is used. |

* | vectorrot(pt,deg_vector[,origin]) |
The point 'pt' is rotated around 'origin'. The rotation is done for the x-, y- and z-axis in this order. All parameters are converted to vectors before the operation. If 'origin' is not set, v(0,0,0) is used. |

* | *round(val) |
Returns the rounded integer value of 'val'. If 'val' is a vector, the calculation is done for each component. The return type is identical to the type of 'val'. |

* | scalarscalar(val) |
If 'val' is a float or a vector, a float value is returned. Otherwise an integer value is returned. |

* | intsec() |
Returns the number of seconds since an unspecific timer start. Use differences between 2 calls to get the elapsed time. The 3 functions sec(), mSec() and uSec() use the same time base. |

* | *select(sel,p0,p1,...,pN) |
First the selector 'sel' is converted to an integer. If 'sel' is less or equal 0, 'p0' is returned. If 'sel' is greater or equal N, 'pN' is returned. Otherwise 'sel' is between 0 and N and 'p(sel)' is returned. |

* | intsideOfLine(a,b,pt) |
All parameters are converted into vectors, but only the x and z coordinates are used. Vectors 'a' and 'b' define a line (from a to b). The function returns -1, if the point 'pt' is on the left side of the line, or +1, if the point is on the right side, or 0 if the point is on the line. |

* | *sign(val) |
Returns the sign of 'val': -1 if 'val<0'; 0, if 'val==0'; +1 if 'val>0'. If 'val' is a vector, the sign of each component is calculated. The return type is identical to the type of 'val'. |

* | flt|vecsin(val) |
Returns the sine of 'val', where 'val' is given in degree. If 'val' is a vector, the sine of each component is calculated. |

* | intsourceLevel() |
This debug function returns the current source level (number of open files and macros). |

* | flt|vecsqrt(val) |
Returns the nonnegative square root of 'abs(val)'. If 'val' is a vector, the square root of each component is calculated. |

* | intstatus() |
Some function support a return value and an additionally status. This function will return the last set status. |

* | flt|vectan(val) |
Returns the tangent of 'val', where 'val' is given in degree. If 'val' is a vector, the tangent of each component is calculated. |

KCL | inttri$create(kcl_flag,pt0,pt1,pt2,...) |
This function appends new triangles at the end of the triangle list with the entered parameters. If more than 3 points are entered, all points must be in the same plane and the polygon is split into multiple (N-2) triangles. The function returns the index of the first new triangle or -1 if failed. |

KCL | inttri$createAntiArrow(flag,pt1,pt2,ptX,r,n,a_flag[,a_size][,b_flag][,b_ht]) |
This function creates an antiprism based arrow with radius 'r' and N faces from 'pt1' to 'pt2', where 'pt2' is the place of the arrowhead. The point 'ptX' is used for the orientation (direction of first edge). 'flag', 'a_flag' and 'b_flag' are KCL flags to define the color. 'a_size' is the addition size factor of the arrowhead, the default is 1.0. If 'b_flag' is not set or @-1@, no base is drawn. If 'base_height' is set, a pyramid is drawn as base. The function returns the index of the first new triangle or -1 if failed. |

KCL | inttri$createAntiPrism(kcl_flag,pt1,pt2,ptX,r,n[,base_flag][,base_height]) |
This function creates an antiprism with radius 'r' and N faces from 'pt1' to 'pt2' by adding 2*N triangles. The point 'ptX' is used for the orientation (direction of first edge). If 'base_flag' is set and not @-1@, the base is printed with ths kcl flag value. If 'base_height' is set, a pyramid is drawn as base. The function returns the index of the first new triangle or -1 if failed. |

KCL | inttri$createArrow(flag,pt1,pt2,ptX,r,n,a_flag[,a_size][,b_flag][,b_ht]) |
This function creates a prism based arrow with radius 'r' and N faces from 'pt1' to 'pt2', where 'pt2' is the place of the arrowhead. The point 'ptX' is used for the orientation (direction of first edge). 'flag', 'a_flag' and 'b_flag' are KCL flags to define the color. 'a_size' is the addition size factor of the arrowhead, the default is 1.0. If 'b_flag' is not set or @-1@, no base is drawn. If 'base_height' is set, a pyramid is drawn as base. The function returns the index of the first new triangle or -1 if failed. |

KCL | inttri$createCuboid(kcl_flag,pos,size[,rot]) |
This function creates a cuboid by adding 12 triangles. If 'size' is a scalar, a cube with the entered edge length is created. If 'rot' is set, the cube is rotated. As last operation the center (origin) of the cube is shifted to 'pos'. The function returns the index of the first new triangle or -1 if failed. |

KCL | inttri$createJoist(kcl_flag,length,pt1,pt2,pt_dir[,n_marker][,mark5_flag]) |
This function appends a triangular joist from 'p1' to 'p2' to at the end of the triangle list. 'length' the length of the body and 'pt_dir' is a helper point for its direction. If 'n_marker' is >0, markers representing the number are added. If 'mark5_flag' is >0, every 5 markers are replaced by one of the entered flag. The function returns the index of the first new triangle or -1 if failed. |

KCL | inttri$createOctahedron(kcl_flag,pos,radius[,rot]) |
This function creates a octahedron by adding 8 triangles. If 'radius' is a scalar, a regular octahedron created. Otherwise it is a vector and define different radiuses for each axis. If 'rot' is set, the octahedron is rotated. As last operation the center (origin) of the cube is shifted to 'pos'. The function returns the index of the first new triangle or -1 if failed. |

KCL | inttri$createPrism(kcl_flag,pt1,pt2,ptX,r,n[,base_flag][,base_height]) |
This function creates a prism with radius 'r' and N faces from 'pt1' to 'pt2' by adding 2*N triangles. The point 'ptX' is used for the orientation (direction of first edge). If 'base_flag' is set and not @-1@, the base is printed with ths kcl flag value. If 'base_height' is set, a pyramid is drawn as base. The function returns the index of the first new triangle or -1 if failed. |

KCL | inttri$createPyramid(kcl_flag,apex,pt1,pt2,...) |
This function creates a pyramid by adding N triangles. 'pt1'..'ptN' descibribes the base polygon, which is not created. The function returns the index of the first new triangle or -1 if failed. |

KCL | inttri$defColor(argb[,alpha]) |
Define a new color. 'ARGB' is a bytes coded color: alpha,red,green,blue. If 'ALPHA' is not set, the highest byte of 'ARGB' is used. If this highest byte is null, 0xff (no transparency) is used. The function returns -1, if already 200 colors defined. Otherwise it returns the virtual KCL flag for the user defined color. |

KCL | inttri$defColor(red,green,blue[,alpha]) |
Define a new color. If ALPHA is not set, 0xff (no transparency) is used. For the 3 colors, values between 0x00 and 0xff are expected. The function returns -1, if already 200 colors defined. Otherwise it returns the virtual KCL flag for the user defined color. |

KCL | inttri$flag(tri_index[,mode]) |
This function returns the KCL flag of the triangle 'tri_index' (0..). If mode is '1', the original source value is returned. If mode is '2', the original source value transformed by --kcl-flag is returned; if --kcl-flag is not set, it is the same as mode '1'. Otherwise the current value is returned. The current value is initialized by the value of mode '2'. Values >0xffff are possible and represent internal drawings. |

KCL | inttri$getColor(index) |
This function returns the color defined by a previous tri$defColor() call. INDEX is the virtual KCL flag for the user defined color. On error, the value NONE (type 'undefined') is returned. |

KCL | inttri$hRot(tri_index,degree[,origin]) |
This function rotates the triangle 'tri_index' (0..) horizontal counterclockwise by the angle 'degree' around the point 'origin'. If the origin is not set, v(0,0,0) is used instead. |

KCL | inttri$isRemoved(tri_index) |
This returns the status of the 'REMOVED' marker of the triangle 'tri_index' (0..). The return value is -1 for an invalid index, 1 if the triangle is marked as removed or 0 if not. |

KCL | floattri$length(tri_index) |
This function returns the length of triangle 'tri_index' (0..). |

KCL | vectortri$n() |
This function returns the number of triangles. |

KCL | vectortri$normal(tri_index,norm_index) |
This function returns the normal with index 'norm_index' (0..3) of triangle 'tri_index' (0..). |

KCL | vectortri$pt(tri_index,pt_index) |
This function returns the point with index 'pt_index' (0..2) of triangle 'tri_index' (0..). |

KCL | inttri$ptsInCuboid(tri_index,cube_min,cube_max) |
Parameters 'cube_*' are converted to vectors. They describe 2 diagonal corners of a rectangular cuboid, assuming that 'cube_min<=cube_max' is true for each coordinate. The functions returns the number of points of the triangle 'tri_index' (0..), that are inside of the cube including the border. If 'tri_index' is invalid, -1 is returned. |

KCL | inttri$remove(tri_index) |
This function marks the triangle 'tri_index' (0..) as 'REMOVED'. The return value is -1 for an invalid index, 1 if the triangle was already removed or 0 if not. |

KCL | inttri$scale(tri_index,scale[,origin]) |
This function scales the triangle 'tri_index' (0..) by the vector 'scale' relative to point 'origin'. If the origin is not set, v(0,0,0) is used instead. |

KCL | inttri$setFlag(tri_index,new_flag) |
This function sets the new KCL flag of triangle 'tri_index' (0..). The function returns -1 for an invalid index or the previous value of the KCL flag. |

KCL | inttri$setPt(tri_index,pt0,pt1,pt2) |
This function sets the coordinates of all 3 points of the triangle 'tri_index' (0..) to the vectors 'pt*'. |

KCL | inttri$setPt(tri_index,pt_index,pt) |
This function sets the coordinates of the single point with index 'pt_index' (0..2) of triangle 'tri_index' (0..). to the vector 'pt'. |

KCL | inttri$shift(tri_index,shift) |
This function adds the vector 'shift' to all 3 points of the triangle 'tri_index' (0..). |

KCL | inttri$type(tri_index[,mode]) |
This function returns the KCL type of the triangle 'tri_index' (0..). It works like tri$flag(), but the flag is transformed to a type. The return value is in the range of 0x00..0x1f (5 lowest bits of the flag), if it is a real KCL flag (<0x10000), or -1 otherwise (special type). |

KCL | inttri$unremove(tri_index) |
This function clears the 'REMOVED' marker of the triangle 'tri_index' (0..). The return value is -1 for an invalid index, 1 if the triangle was removed or 0 if not. |

* | *trunc(val) |
Returns the nearest integer not larger in absolute value than 'val' (rounding towards zero). If 'val' is a vector, the calculation is done for each component. The return type is identical to the type of 'val'. |

* | inttype(name) |
Returns the type of the variable 'name' (TYPE$UNSET, TYPE$INT, TYPE$FLOAT, TYPE$VECTOR, TYPE$X, TYPE$Y, TYPE$Z) or value 'TYPE$UNDEF', if it is not defined. It is guaranteed, that 'TYPE$UNDEF < TYPE$UNSET < all_others'. |

* | vectorunit(v1[,v2]) |
Returns the unit vector of the vector 'v1'. If 'v2' is set, then the unit vector for the difference 'v2-v1' is returned. |

* | intuSec() |
Returns the number of microseconds since an unspecific timer start. Use differences between 2 calls to get the elapsed time. This timer has an overflow at about 35 minutes. The 3 functions sec(), mSec() and uSec() use the same time base. |

* | vectorv([val]) |
Defines a vector. If 'val' is a vector, it is copied. Otherwise 'val' is used for the x coordinate and y and z are set to 0.0. If 'val' is not set, 0.0 is used.
This function is used if an internal conversion to a vector is needed. |

* | vectorv(x[,y],z) |
Defines a vector by using the entered coordinates. If 'y' is not set, 0.0 is assumed. If 'x', 'y' or 'z' is a vector itself, the corespondent coordinate is used. |

* | vectorv3(val) |
Create a vector with all 3 components equal to 'val' |

* | *var(name,val) |
If variable 'name' is defined and valid, return its value. Otherwise return 'val'. |

* | vectorvd(len,deg[,y]) |
Creates a vector of length 'len' and horizontal angle 'deg' (degree). Value 'y' (if not set: 0.0) is used for the height. |

* | vectorvx(x[,v]) |
Read the vector 'v' and replace the x component by 'x'. If 'x' is a vector, the x component of 'x' is used. If 'v' is not entered, use v(0,0,0) as source. |

* | vectorvy(y[,v]) |
Read the vector 'v' and replace the y component by 'y'. If 'y' is a vector, the y component of 'y' is used. If 'v' is not entered, use v(0,0,0) as source. |

* | vectorvz(z[,v]) |
Read the vector 'v' and replace the z component by 'z'. If 'z' is a vector, the z component of 'z' is used. If 'v' is not entered, use v(0,0,0) as source. |

* | floatx(val_1,...,val_n) |
Scan all parameters (at least 1 must exist) and find the first vector. If found, return its x component. If no vector exists, return the last value 'val_n'.
Confirming the rules above, 'x(val)' means: If 'val' is a vector, return its x component. Otherwise convert 'val' to a float and return it. |

* | floatxDir([v1,]v2) |
The functions returns the direction in degree of point 'v2' relative to the x-axis of point 'v1'. If 'v1' is not set, v(0,0,0) is used. |

* | vectorxRot(pt,deg[,origin]) |
The point 'pt' is rotated around the x-axis of 'origin' by 'deg' degree. If 'pt' is a scalar, 'vy(pt)' is used. If 'origin' is not set, v(0,0,0) is used. |

* | floaty(val_1,...,val_n) |
Scan all parameters (at least 1 must exist) and find the first vector. If found, return its y component. If no vector exists, return the last value 'val_n'.
Confirming the rules above, 'y(val)' means: If 'val' is a vector, return its y component. Otherwise convert 'val' to a float and return it. |

* | floatyDir([v1,]v2) |
The functions returns the direction in degree of point 'v2' relative to the y-axis of point 'v1'. If 'v1' is not set, v(0,0,0) is used. |

* | vectoryRot(pt,deg[,origin]) |
The point 'pt' is rotated around the y-axis of 'origin' by 'deg' degree. If 'pt' is a scalar, 'vz(pt)' is used. If 'origin' is not set, v(0,0,0) is used. This is the classical horizontal rotation. |

* | floatz(val_1,...,val_n) |
Scan all parameters (at least 1 must exist) and find the first vector. If found, return its z component. If no vector exists, return the last value 'val_n'.
Confirming the rules above, 'z(val)' means: If 'val' is a vector, return its z component. Otherwise convert 'val' to a float and return it. |

* | floatzDir([v1,]v2) |
The functions returns the direction in degree of point 'v2' relative to the z-axis of point 'v1'. If 'v1' is not set, v(0,0,0) is used. |

* | vectorzRot(pt,deg[,origin]) |
The point 'pt' is rotated around the z-axis of 'origin' by 'deg' degree. If 'pt' is a scalar, 'vx(pt)' is used. If 'origin' is not set, v(0,0,0) is used. |