Robocompass | A Robotic Geometry Box on 3D

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RoboCompass has 10 drawing commands and 12 helper commands.Drawing commands can be assigned to labels and referenced in other commands.In effect,these commands can be combined in creative ways to produce all sorts of Geometrical constructions.

Drawing commands

point(x,y) Example:- point(3,4) or A=point(3,4) where A is the label.

line(x1,y1,x2,y2) Example:- line(0,0,-2,5) or C=line(A,B) where A,B are point labels. Length can be optionally be given as line(A,B,3) where 3 is length of segment.

arc(originPoint,radius,angleFrom,upto) Example:- arc(point(2,2),3,40,20)Uses point(2,2) as origin,3 as radius and starts the arc from 40 degress and adds another 20 degree in anticlockwise direction, a negative value for "upto" parameter will move clockwise. To copy a line, give the first parameter as line or two points as shown here arc(point1,point2,originPoint,angleFrom,upto)

perp(line,passThroughPoint,length=10) Example:- A=perp(line(1,2,3,4),point(1,2)) draws a perpendicular line to a given line(1,2,3,4) passing through point(1,2). The last optional parameter of perp command is the length of the perpendicular line which defaults to 10

parallel(line,passThroughPoint,length=10) Example:- parallel(line(1,2,3,4),point(1,2))

angle(point1,point2,degrees) Example:- angle(A,B,45,1) The two points A and B defines the base line.The ratio is an optional parameter which controls the position of the protractor. A value of 0 places it at A,1 at B and 0.5 in the middle.

polygon(comma separated points) Example:- polygon(A,B,C) draws a triangle where A,B,C are points

findangle(2 lines or a polygon) Example:- findangle(A,B) finds the angle between two lines A, B or a polygon findangle(C) (C is the label of polygon, in this case the method returns the first angle)

fill(A,B,fillType=0,output=1) fills the interior of shapes A,B.The shapes can be an arc, polygon or another fill.The command accepts any number of shapes.The default fillType is 0 which fills the intersected region,1 is union and 2 is difference.fill(A), fill(arc(0,0,3,0,360),D,polygon(2,3,4,6,1,0))

trace(comma separated points) traces the curve passing through the given points. trace(point(0,0),point(1,sin(30)),point(1,sin(60)),point(1,sin(120)),B)

As a general rule,where ever point is expected in an expression, we can use either point(2,3) or use its label or use a helper command which calculates and returns a point.Similarly wherever a line is expected we can give the label of a line or the label of two points.

For example arc(A,B,point(2,1),50,40) uses the distance from A to B and draws the arc from point(2,1).(note:- instead of point(2,1) we can use 'C' if we have a point labled C.

Helper commands ( useful for calculations )

dist(point1, point2) calculates the distance between two points. We can also give dist(C)if C is a line (ie segment)

X(point) gives the X coordinate of a point A A= X(point(2,1))

Y(point) gives the Y coordinate of a point A B= Y(point(1,2))

pos(polygon or line or arc,index) returns the point at a given index.If a polygon A has 4 points, pos(A,3) returns the third point,similarly if a line's label is B a index of 2 returns the end point Example:- pos(B,2)

intersect(object1,object2,index=1) intersects any two object (except points).Example G=point(intersect(D,E)) By default returns the first intersecting point,for second and third intersecting point, give 2 0r 3 respectively.For example this intersect(D,E,2) gives the second intersecting point.

reflect(object,line) reflects the object by a given line. Example:- reflect(D,A) where D is the label of point to reflect and A is the reflecting line

rotate(object,angle,withrespectTo=point(0,0)) rotates the object by a given degree. By default, the rotation is with respect to origin (0,0), which can be optionally overridden by giving the parameter withrespectPoint.

translate(object,x,y,withrespectTo=point(0,0)) translates the object by given x,y with respect to origin or by given withRespectTo parameter. translate(arc(2,3,3,0,180),2,3,point(2,1)) or translate(G,2,4)

dilate(object,scaleFactor,withRespectTo=point(0,0)) dilates the object by a given scaleFactor parameter. dilate(point(3,1),2) .

project(point1,line) projects the input point on the line and returns the projected point Example:-project(A,line(0,0,1,0)) projects the point A on the given line.

interpolate(point1,point2,ratio) Example:- interpolate(A,B,0.5) A ratio of 0.5 returns the midpoint of A, B

hide(comma separated labels) Example:- hide(A,B,C,D) hides objects A,B,C,D. To show again use show(A,B,C,D)

group(comma separated objects)Transformations can be applied on multiple objects simultaneously by creating a group. For example to rotate both a arc 'A' and a polygon 'B' together, use C=group(A,B) and then D=rotate(C,120) where C is the label of the group. Groups can also be nested.

A variety of shapes can be created by applying boolean operations on simple shapes.These shapes can be tessellated by transformation commands. For example and(A,B,C)creates a polygonal region common (intersection) to A,B,C where A,B,C can be a arc or a polygon. Similarly or(A,E,polygon(0,0,2,3,4,1)) and diff(A,B) create union and difference of the given regions respectively. Regions with interiors holes are not supported (resulting from an xor operation) but the same result can be created by combining multiple polygons using the group command.

All standard Math functions like sin,cos,tan,asin,acos,atan,log,sqrt,max,min are supported. Note:Trignometric functions uses degrees as unit.

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