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Action:
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Determines whether or not a pattern lies on a given cylinder.
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Filename:
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kern/kern_scm/pattern_scm.cxx
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Syntax:
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(pattern:cylindrical? pat {face | {center axis}})
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Arg Types:
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pat
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pattern
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face
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face
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center
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position
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axis
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gvector
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Returns:
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boolean
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Description:
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This extension returns #t if a pattern lies on the cylindrical surface. Otherwise, it returns #f.
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pat specifies a pattern.
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face specifies a cylindrical face.
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center and
axis together specify a cylindrical surface.
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Example:
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; pattern:cylindrical?
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; Choose an axis and a center defining a cylinder.
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(define center (position 5 6 3))
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;; center
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(define normal (gvector 0 0 1))
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;; normal
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; Make a pattern.
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(define pat (pattern:cylindrical
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center normal 4 10 3))
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;; pat
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; Does the result have cylindrical symmetry about
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; the center and normal?
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(pattern:cylindrical? pat center normal)
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;; #t
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; Try another pattern.
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(set! pat (pattern:elliptical center normal 5))
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;; #[pattern
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;; trans-vec:
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"DOMAIN(VEC(5,6,3)+VEC
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;; (0,0,1)*3*X2,0,3,0,9)"
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;; x-vec:
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"VEC(-1,0,0)*COS
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;; (1.570796326794897*X+0)
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;; +VEC(0,1,0)*SIN
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;; (1.570796326794897*X+0)"
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;; y-vec:
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"VEC(0,0,1)"
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;; z-vec:
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"null_law"
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;; sale:
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"null_law"
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;; keep:
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"null_law"
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;; no list]
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(pattern:cylindrical? pat center normal)
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;; #t
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; Try yet another pattern.
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(set! pat (pattern:elliptical center
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(gvector 1 0 0) 5))
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;; #[pattern
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;; trans-vec:
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"VEC(5,6,3)"
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;; x-vec:
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"DOMAIN(VEC(-1,0,0)
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;; *COS(1.256637061435917*X)
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;; +VEC(0,-1,0)*SIN
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;; (1.256637061435917*X),0,4)"
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;; y-vec: "VEC(0,0,1)"
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;; z-vec: "null_law"
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;; scale: "null_law"
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;; keep: "null_law"
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;; no list]
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(pattern:cylindrical? pat center normal)
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;; #f
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