h1. General Program Information
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Southwest Isometric View
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h3. Input Definitions
h5. Inputs Needed to Call the Elbow Function
o \-The origin, the point corresponding to where the elbow will be drawn. o is also the center of the radius of curvature of the elbow.
ND - The nominal diameter of the pipe. This value along with the pipe schedule is used to determine other actual dimensions of the elbow
EN - The enumerated pipe schedule type. Each schedule of pipe has a specific number that represents it within our code.
h5. Inputs Defined within the Elbow Function
p1 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~
p2 =
* x : o{~}0~ \- ElbowRadius(ND) + ConRaduis(ND)
* y : o{~}1~ \- ElbowRadius(ND) + ConRaduis(ND)
* z : o{~}2~ \- outerradius(ND) + SocketDepth(ND)
p3 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND) + ConRaduis(ND)
* z : o{~}2~ + outerradius(ND) + SocketDepth(ND)
p4 =
* x : o{~}0~ + ElbowRadius(ND) + outerraduis(ND)
* y : o{~}1~
* z : o{~}2~
p5 =
* x : o{~}0~ \- ElbowRadius(ND) - innerD(ND,EN)/2
* y : o{~}1~
* z : o{~}2~
p6 =
* x : o{~}0~
* y : o{~}1~ \- ElbowRadius(ND) - outerraduis(ND) - zc
* z : o{~}2~ \- ConRadius(ND)
p7 =
* x : o{~}0~ + ElbowRadius(ND) + outerraduis(ND) + zc
* y : o{~}1~
* z : o{~}2~ + ConRadius(ND)
p9 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
p10 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
p11 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND) - ConRaduis(ND)
* z : o{~}2~
p12 =
* x : o{~}0~ \- SocketDepth(ND) - zc
* y : o{~}1~ + ElbowRadius(ND) - outerraduis(ND)
* z : o{~}2~
p13 =
* x : o{~}0~ + zc
* y : o{~}1~ + ElbowRadius(ND) + outerraduis(ND)
* z : o{~}2~
p14 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND) - ConRaduis(ND)
* z : o{~}2~
p15 =
* x : o{~}0~
* y : o{~}1~
p16 =
* x : o{~}0~ + zc
* y : o{~}1~ + zc
p17 =
* x : o{~}0~ + ElbowRadius(ND)
* y : o{~}1~ \- SocketDepth(ND)
* z : o{~}2~
p18 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
R1 = ElbowRadius(ND)
R2 = outerraduis(ND)
R3 = innerD(ND,EN)/2
R4 = ConRaduis(ND)
win1 =
* x : o{~}0~ \- ElbowRadius(ND) - ConRaduis(ND) + zc
* y : o{~}1~ \- ElbowRadius(ND) - ConRaduis(ND) + zc
* z : o{~}2~
win2 =
* x : o{~}0~ + ElbowRadius(ND) + ConRaduis(ND) + zc
* y : o{~}1~ + ElbowRadius(ND) + ConRaduis(ND) + zc
* z : o{~}2~
*Note:* zc corresponds to the zoom constant used within AutoCAD, defined by the basics file.
h1. Technical Program Outline
*Note:* All coordinates are referenced in top view in the program unless otherwise specified
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*zoom{*}{*}{~}win{~}*\- zooms on a window space directly around where the elbow is to be drawn
zoom{~}win~ <-\- zoom{~}wina~(win1,win2)
win1 =
* x : o{~}0~ \- ElbowRadius(ND) - ConRaduis(ND) + zc
* y : o{~}1~ \- ElbowRadius(ND) - ConRaduis(ND) + zc
* z : o{~}2~
win2 =
* x : o{~}0~ + ElbowRadius(ND) + ConRaduis(ND) + zc
* y : o{~}1~ + ElbowRadius(ND) + ConRaduis(ND) + zc
* z : o{~}2~
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Top View
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Southwest Isometric View
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*torus{*}{~}big~ \- Draws the larger torus, a 3 dimensional ring that creates the outer surface of the elbow
torus{~}big~ <-\- torus(p1,R1,R2)
p1 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~
R1 = ElbowRadius(ND)
R2 = outerraduis(ND)
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*box1* \- draws a box slightly larger than the torus, in all dimensions
box1 <-\- box(p2,p3)
p2 =
* x : o{~}0~ \- ElbowRadius(ND) + ConRaduis(ND)
* y : o{~}1~ \- ElbowRadius(ND) + ConRaduis(ND)
* z : o{~}2~ \- outerradius(ND) + SocketDepth(ND)
p3 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND) + ConRaduis(ND)
* z : o{~}2~ + outerradius(ND) + SocketDepth(ND)
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*Before Subtract*
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*After Subtract*
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*subtract1* \- removes the box that was drawn over half of the torus in order to make it a half torus
subtract1<-\- subtractD(p4,p1)
p4 =
* x : o{~}0~ + ElbowRadius(ND) + outerraduis(ND)
* y : o{~}1~
* z : o{~}2~
p1 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~
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\*torus\*~small~\ - draws a smaller torus
torus{~}small~ <-\- torus(p1,R1,R3)
p1 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~
R1 = ElbowRadius(ND)
R3 = innerD(ND,EN)/2
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*Before Subtract*
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*After Subtract*
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*subtract2* \- removes the leftsmaller halftorus, ofmaking the smallerlarge torus hollow
subtract2 <-\- subtractA(p4,p5)
p4 =
* x : o{~}0~ + ElbowRadius(ND) + outerraduis(ND)
* y : o{~}1~
* z : o{~}2~
p5 =
* x : o{~}0~ \- ElbowRadius(ND) - innerD(ND,EN)/2
* y : o{~}1~
* z : o{~}2~
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*box2*\- draws a box over the lower half of the remaining torus
box2 <-\- box(p6,p7)
p6 =
* x : o{~}0~
* y : o{~}1~ \- ElbowRadius(ND) - outerraduis(ND) - zc
* z : o{~}2~ \- ConRadius(ND)
p7 =
* x : o{~}0~ + ElbowRadius(ND) + outerraduis(ND) + zc
* y : o{~}1~
* z : o{~}2~ + ConRadius(ND)
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*subtract3* \- removes the box that was drawn in the previous step
subtract3 <-\- subtractD(p9,p1)
p9 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
p1 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~
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*outercylinder* \- draws a cylinder at the end of the elbow to form the outer surface of a socket
outercylinder <-\- cylinderB(p9,R4,P10)
p9 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
R4 = ConRaduis(ND)
p10 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
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Southwest Isometric View
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*innercylinder* \- draws a smaller cylinder within the larger cylinder, forming the inner surface of a socket
innercylinder <-\- cylinderB(p9,R2,p10)
p9 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
R2 = outerraduis(ND)
p10 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
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*subtract4* \- removes the smaller cylinder, creating a hollow socket at the end of the elbow
subtract4 <-\- subtractH(p11,p12,p13)
p11 =
* x : o{~}0~
* y : o{~}1~ + ElbowRadius(ND) - ConRaduis(ND)
* z : o{~}2~
p12 =
* x : o{~}0~ \- SocketDepth(ND) - zc
* y : o{~}1~ + ElbowRadius(ND) - outerraduis(ND)
* z : o{~}2~
p13 =
* x : o{~}0~ + zc
* y : o{~}1~ + ElbowRadius(ND) + outerraduis(ND)
* z : o{~}2~
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*mirror* \- replicates the socket drawn onto the opposite end of the elbow
mirror <-\- mirrorA(p14,p15,p16)
p14 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND) - ConRaduis(ND)
* z : o{~}2~
p15 =
* x : o{~}0~
* y : o{~}1~
p16 =
* x : o{~}0~ + zc
* y : o{~}1~ + zc
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*bigunion* \- unites all the pieces drawn so the elbow will act as one unit, instead of three separate units.
bigunion <-\- bigunion{~}elbow~(p1,p17,p18,R1,R2)
p1 =
* x : o{~}0~
* y : o{~}1~
* z : o{~}2~
p17 =
* x : o{~}0~ + ElbowRadius(ND)
* y : o{~}1~ \- SocketDepth( ND)
* z : o{~}2~
p18 =
* x : o{~}0~ \- SocketDepth(ND)
* y : o{~}1~ + ElbowRadius(ND)
* z : o{~}2~
R1 = ElbowRadius(ND)
R2 = outerraduis(ND)
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