law


variation law


May appear as an option in all commands involving a variation.

law
axis
CG
field
object law
fog
line
network
properties
speed
transp
vol
See also

law

law(x1,y1,0, x2,y2,0, ......, xn,yn,0)

In certains commands (xi,yi) stantardized between 0.0 and 1.0, allows varying a parameter y=law(x,L).
See for example:
        traj law.

law("ccc")

ccc=acc: accelerated (equivalent to acc).
ccc=dec: delerated (equivalent to dec).
ccc=pend: pundulum (equivalent to pend).

law(x,w)

        Returns y=f(x), with f = polynomial function described by the 3D polygonal line w = (x1,y1,0,x2,y2,0,...)

law(x,id)

        Returns y=f(x), with f = polynomial function described by the points (x1,y1,0,x2,y2,0,...) of object law identifier id.
Options:
ext(e,c): the line w is extended by extension (e,c).

Objet law

law(id)poi(x1,y1,z1,...)

Build object law identifier id defined by the 3D polygonal line (x1,y1,z1,...).

law(id)

Returns the 3D polygonal line defining the law.
If id="nnn" and if the corresponding object is not found, file is seeked on the disk.

law axis

law axis rota vol(id)

        Returns the list of boundaries (a1, a2) of learning.

law axis rota vol(id)=a1,a2,...

        Changes these boundaries.
Voir network vol.

law fog

law fog(id)

        Returns the law of fog id

law fog num=expr

        Changes this law.

law CG

law CG(np)vol(id)

        Builds the FIFO stack of CG of volume id.

law CG vol(id)

        Returns this stack.

exec law CG vol(id)

       Computes the power 1/3 law of the stack.

validate law CG vol(id)

       Returns the power 1/3 law evaluation of the stack.
Notes:
bloc dist radius is autmatically generated containing (di,ri,ci) where:
       di = curve speed
       ri = radius
       ci = di / (ri ^ 1/3)
Usefull in genetic algorithme generating natural motions. see the file genetic_emergence.func.

law field

law field(id)

        Returns the law associated to field id.

law field(id)=v

        Changes this law.
Note:
id field force is inversely proportional to the distance from the center of the field if it is centrall, or from its axis if of axial type..

law line

law line(L)

        Returns the variation law of the 3D line L.
Options:
center: returns the curvature center.
dist: returns the curve abscisses.
radius: returns the curvature radius.
Examples:
L=adjust(3)line(0,0,0, 100,0,0);$law line(L)dist;
       prints 0.0 50.0 100.0
L=adjust(3)line(0,0,0, 100,0,0);$law line(L)dist;
       prints 0.0 50.0 100.0
L=adjust(6)line(0,0,0, 100,0,0)ext(3,1,0);$law line(L)dist;
       prints 0.0 20.0, 40.0 60.0 80.0 100.0

law network

law(n) network(id)

       Returns the output n of neural network id.

law(n) network(id)=values

        Changes this output.

law(0) network(id)=values

        Add an output.
See also: network and motif network.
Notes:
All laws must have the same dimension.
There must be as many laws as motifs.

law speed

law speed rota vol(id)

Returns the property law speed rota vol of volumeid.

law speed rota vol(id)=c,cc

Changes this property.
Note:
if the volume id is the leader of an anchorage structure then c is the coefficient of the law of phase opposition, the rotational speeds of all volumes of this structure are automatically modified according to this law.
Notes:
cc is the multiplier of c from one volume to the next.
if yes lead is active (default) law spreads from one volume to its leader.
if yes follow is active law spreads from one volume to its followers.

law property

law(num)propr1 propr2 ... vol(id)

Returns the law number num of neuronal network associated with the propr1 propr2 ... property of volume id.

law(num)propr1 propr2 ... vol(id)=expr

Changes this law, if num=0: adds a law.

law transp vol

law transp vol(id)

        Returns the transparency law of volume id.

law transp vol(id)=x1,y1,z1,x2,y2,z2,...

        Changes this law.
Notes:
1) If the volumeid is provided with a transparency (see illum vol), it will be modulated by the law (x1, y1, z1, x2, y2, z2, ...).
2) The x varies between 0 and 1, y varie between 0, z are zero. y represents the multiplier of transparency with respect to x which is the cosine of the angle between the normal vector and the vector joining the point to the eye
Examples:
law transp vol(1)=0,0,0,1,1,0;
x=arc(1,PI,-PI/2,20);tran var("x")poi(1,0,0);law transp vol(1)=x;

law vol

law vol(id)

Returns the law property of volume id.

law vol(id)=v

Changes this property.
Note:
v=1: activates the speed calculus for adjust vol law.
v=0: inhibits these calculus.

See also:

acc
adjust line
adjust vol law
dec
dim law
ini law
law light
lut law
no law
pend
traj law
yes law