Programmer Guide/Command Reference/EVAL/pgiline - Revision history

Christian at 18:11, 21 April 2011

2011-04-21T18:11:53Z

← Older revision		Revision as of 20:11, 21 April 2011
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	:<code>pgiline(<var>X</var>, <var>IX</var>, <var>PX1<sub>scalar</sub></var>, <var>PY1<sub>scalar</sub></var>), <var>PX2<sub>scalar</sub></var>, <var>PY2<sub>scalar</sub></var>)</code>		:<code>pgiline(<var>X</var>, <var>IX</var>, <var>PX1<sub>scalar</sub></var>, <var>PY1<sub>scalar</sub></var>), <var>PX2<sub>scalar</sub></var>, <var>PY2<sub>scalar</sub></var>)</code>
	:;<var>X</var>:a [[../#polygons\|closed point-list]] or a [[../#polygons\|polygon-stream]] defining one or more polygons.		:;<var>X</var>:a [[../#polygons\|closed point-list]] or a [[../#polygons\|polygon-stream]] defining one or more polygons.
	:;<var>IX</var>:The index of the polygon of ''X'' to be tested; 0 <= <var>IX</var> < <code>[[../pgget\|pgget]](''X'')</code>		:;<var>IX</var>:The index of the polygon of ''X'' to be tested; 0 ≤ <var>IX</var> < <code>[[../pgget\|pgget]](''X'')</code>
	:;<var>PX1, PY1, PX2, PY2</var>: The points <''PX1'',''PY1''> and <''PX2'',''PY2''> defining the line to be tested.		:;<var>PX1, PY1, PX2, PY2</var>: The points <''PX1'',''PY1''> and <''PX2'',''PY2''> defining the line to be tested.
	;Result: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.		;Result: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.

193.171.195.48 at 10:30, 21 April 2011

2011-04-21T10:30:24Z

← Older revision		Revision as of 12:30, 21 April 2011
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	\|}		\|}
	;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgxgrid\|pgxgrid]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]		;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgxgrid\|pgxgrid]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]


	[[../#Functions\|<function list>]]		[[../#Functions\|<function list>]]

193.171.195.48 at 08:45, 20 April 2011

2011-04-20T08:45:46Z

← Older revision		Revision as of 10:45, 20 April 2011
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	:;<var>IX</var>:The index of the polygon of ''X'' to be tested; 0 <= <var>IX</var> < <code>[[../pgget\|pgget]](''X'')</code>		:;<var>IX</var>:The index of the polygon of ''X'' to be tested; 0 <= <var>IX</var> < <code>[[../pgget\|pgget]](''X'')</code>
	:;<var>PX1, PY1, PX2, PY2</var>: The points <''PX1'',''PY1''> and <''PX2'',''PY2''> defining the line to be tested.		:;<var>PX1, PY1, PX2, PY2</var>: The points <''PX1'',''PY1''> and <''PX2'',''PY2''> defining the line to be tested.
	;Result 3: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.		;Result: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.
	::{\|class="einrahmen"		::{\|class="einrahmen"
	! i !! ''r''[i,0], ''r''[i,1] !! ''r''[i,2]		! i !! ''r''[i,0], ''r''[i,1] !! ''r''[i,2]

193.171.195.48 at 07:30, 20 April 2011

2011-04-20T07:30:59Z

← Older revision		Revision as of 09:30, 20 April 2011
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	:;<var>X</var>:a [[../#polygons\|closed point-list]] or a [[../#polygons\|polygon-stream]] defining one or more polygons.		:;<var>X</var>:a [[../#polygons\|closed point-list]] or a [[../#polygons\|polygon-stream]] defining one or more polygons.
	:;<var>IX</var>:The index of the polygon of ''X'' to be tested; 0 <= <var>IX</var> < <code>[[../pgget\|pgget]](''X'')</code>		:;<var>IX</var>:The index of the polygon of ''X'' to be tested; 0 <= <var>IX</var> < <code>[[../pgget\|pgget]](''X'')</code>
	:;<var>PX1, PY1, PX2, PY2</var>: The ~~point~~ <''PX1'',''PY1''> and <''PX2'',''PY2''> defining the line to be tested.		:;<var>PX1, PY1, PX2, PY2</var>: The points <''PX1'',''PY1''> and <''PX2'',''PY2''> defining the line to be tested.
	;Result 3: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.		;Result 3: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.
	::{\|class="einrahmen"		::{\|class="einrahmen"
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	\|0 if the end point is outside ''X<sub>IX</sub>''<BR>1 if the end point is inside ''X<sub>IX</sub>''		\|0 if the end point is outside ''X<sub>IX</sub>''<BR>1 if the end point is inside ''X<sub>IX</sub>''
	\|}		\|}
	;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../~~pgiline~~\|~~pgiline~~]], [[../pgxgrid\|pgxgrid]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]		;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgxgrid\|pgxgrid]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]


	[[../#Functions\|<function list>]]		[[../#Functions\|<function list>]]

193.171.195.48 at 07:30, 20 April 2011

2011-04-20T07:30:24Z

← Older revision		Revision as of 09:30, 20 April 2011
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	{{DISPLAYTITLE:{{SUBPAGENAME}}}}		{{DISPLAYTITLE:{{SUBPAGENAME}}}}
	Find all intersections of a line, defined by ~~the starting and the ending point~~, with ~~the~~ polygon ~~''x''~~.		Find all intersections of a line, defined by two points, with a polygon.
	;Usage:		;Usage:
	:<code>pgiline(<var>X</var>, <var>IX</var>, <var>PX1<sub>scalar</sub></var>, <var>PY1<sub>scalar</sub></var>), <var>PX2<sub>scalar</sub></var>, <var>PY2<sub>scalar</sub></var>)</code>		:<code>pgiline(<var>X</var>, <var>IX</var>, <var>PX1<sub>scalar</sub></var>, <var>PY1<sub>scalar</sub></var>), <var>PX2<sub>scalar</sub></var>, <var>PY2<sub>scalar</sub></var>)</code>
	:;<var>X</var>:a [[../#polygons\|closed point-list]] or a [[../#polygons\|polygon-stream]] defining one or more polygons.		:;<var>X</var>:a [[../#polygons\|closed point-list]] or a [[../#polygons\|polygon-stream]] defining one or more polygons.
	:;<var>IX</var>:The index of the polygon of ''X'' to be tested; 0 <= <var>IX</var> < <code>[[../pgget\|pgget]](''X'')</code>		:;<var>IX</var>:The index of the polygon of ''X'' to be tested; 0 <= <var>IX</var> < <code>[[../pgget\|pgget]](''X'')</code>
	:;<var>PX1, PY1, PX2, PY2</var>: The ~~start~~ point <''PX1'',''PY1''> and ~~the end point~~ <''PX2'',''PY2''> of the line to be tested.		:;<var>PX1, PY1, PX2, PY2</var>: The point <''PX1'',''PY1''> and <''PX2'',''PY2''> defining the line to be tested.
	;Result 3: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.		;Result 3: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.
	::{\|class="einrahmen"		::{\|class="einrahmen"

193.171.195.48 at 07:28, 20 April 2011

2011-04-20T07:28:41Z

← Older revision		Revision as of 09:28, 20 April 2011
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	:;<var>PX1, PY1, PX2, PY2</var>: The start point <''PX1'',''PY1''> and the end point <''PX2'',''PY2''> of the line to be tested.		:;<var>PX1, PY1, PX2, PY2</var>: The start point <''PX1'',''PY1''> and the end point <''PX2'',''PY2''> of the line to be tested.
	;Result 3: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.		;Result 3: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.
	::{class="einrahmen"		::{\|class="einrahmen"
	! i !! ''r''[i,0], ''r''[i,1] !! ''r''[i,2]		! i !! ''r''[i,0], ''r''[i,1] !! ''r''[i,2]
	\|-		\|-

193.171.195.48 at 07:28, 20 April 2011

2011-04-20T07:28:10Z

← Older revision		Revision as of 09:28, 20 April 2011
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	:<code>pgiline(<var>X</var>, <var>IX</var>, <var>PX1<sub>scalar</sub></var>, <var>PY1<sub>scalar</sub></var>), <var>PX2<sub>scalar</sub></var>, <var>PY2<sub>scalar</sub></var>)</code>		:<code>pgiline(<var>X</var>, <var>IX</var>, <var>PX1<sub>scalar</sub></var>, <var>PY1<sub>scalar</sub></var>), <var>PX2<sub>scalar</sub></var>, <var>PY2<sub>scalar</sub></var>)</code>
	:;<var>X</var>:a [[../#polygons\|closed point-list]] or a [[../#polygons\|polygon-stream]] defining one or more polygons.		:;<var>X</var>:a [[../#polygons\|closed point-list]] or a [[../#polygons\|polygon-stream]] defining one or more polygons.
	:;<var>IX</var>:The index of the polygon of ''X'' to be tested; 0 <= <var>IX</var> < <code>[[../pgget\|pgget]](''X'')</code>)		:;<var>IX</var>:The index of the polygon of ''X'' to be tested; 0 <= <var>IX</var> < <code>[[../pgget\|pgget]](''X'')</code>
	:;<var>PX1, PY1, PX2, PY2</var>: The start point <''PX1'',''PY1''> and the end point <''PX2'',''PY2''> of the line to be tested.		:;<var>PX1, PY1, PX2, PY2</var>: The start point <''PX1'',''PY1''> and the end point <''PX2'',''PY2''> of the line to be tested.
	;Result 3: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.		;Result 3: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.

193.171.195.48 at 07:27, 20 April 2011

2011-04-20T07:27:36Z

← Older revision		Revision as of 09:27, 20 April 2011
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	;Usage:		;Usage:
	:<code>pgiline(<var>X</var>, <var>IX</var>, <var>PX1<sub>scalar</sub></var>, <var>PY1<sub>scalar</sub></var>), <var>PX2<sub>scalar</sub></var>, <var>PY2<sub>scalar</sub></var>)</code>		:<code>pgiline(<var>X</var>, <var>IX</var>, <var>PX1<sub>scalar</sub></var>, <var>PY1<sub>scalar</sub></var>), <var>PX2<sub>scalar</sub></var>, <var>PY2<sub>scalar</sub></var>)</code>
			:;<var>X</var>:a [[../#polygons\|closed point-list]] or a [[../#polygons\|polygon-stream]] defining one or more polygons.
	:;<var>PX1, PY1, PX2, PY2</var>: The start point <''PX1'',''PY1''> and the end point <''PX2'',''PY2''> of the line ~~''P''~~ to be tested.		:;<var>IX</var>:The index of the polygon of ''X'' to be tested; 0 <= <var>IX</var> < <code>[[../pgget\|pgget]](''X'')</code>)
	;Result 3: The result ''r'' is a ~~scalar~~.		:;<var>PX1, PY1, PX2, PY2</var>: The start point <''PX1'',''PY1''> and the end point <''PX2'',''PY2''> of the line to be tested.
	::{\|class="~~keinrahmen~~"		;Result 3: The result ''r'' is a Nx3 matrix. Each row of the matrix contains the coordinates of a point of the line and its state.
	\|''r''~~='''~~0''' ~~\|\| ... the line~~ ''P'~~' is outside the polygon ''X<sub>IX</sub>~~''		::{class="einrahmen"
			! i !! ''r''[i,0], ''r''[i,1] !! ''r''[i,2]
	\|-		\|-
	\|~~''r''='''1'''~~ \|\| ~~...~~ the ~~line~~ ''P'' is inside ~~the polygon~~ ''X<sub>IX</sub>''		\|0
			\|start point of the line
			\|0 if the start point is outside ''X<sub>IX</sub>''<BR>1 if the start point is inside ''X<sub>IX</sub>''
	\|-		\|-
	\|~~''r''='''2''' \|\|~~ ..~~. the line ''P'' intersects the polygon ''X<sub>IX</sub>''~~		\|1 .. N-2
	\|}		\|intersection point
	-~~---~~		\|0 if the line leaves ''X<sub>IX</sub>''<BR>1 if the line enters ''X<sub>IX</sub>''
	~~;Usage 4:~~
	~~:<code>pgitest(<var>X</var>, <var>IX</var>, <var>P</var>, <var>IP</var>)</code>~~
	~~:;<var>P</var>:a [[../#polygons~~\|~~closed~~ point~~-list]] or a [[../#polygons\|polygon-stream]] defining one or more polygons.~~
	~~:;<var>IP</var>:The index of the polygon of ''P'' to be tested; 0 <= <var>IP</var> < <code>[[../pgget~~\|~~pgget]](''P'')</code>)~~
	~~;Result 4: The result ''r'' is a scalar.~~
	~~::{\|class="keinrahmen"~~
	~~\|''r''='''~~0~~''' \|\| ...~~ the ~~polygon~~ ''P<sub>IP</sub>'' ~~is outside~~ the ~~polygon~~ ''X<sub>IX</sub>''
	\|-		\|-
	\|~~''r''='''~~1~~'''~~ \|\| ~~...~~ the ~~polygon ''P<sub>IP</sub>''~~ is ~~included in the polygon~~ ''X<sub>IX</sub>''		\|N-1
	\|-		\|end point of the line
	~~\|''r''='''2''' \|\| ... the polygons ''P~~<~~sub~~>~~IP</sub>'' and ''X<sub>IX</sub>'' are partly overlapping~~		\|0 if the end point is outside ''X<sub>IX</sub>''<BR>1 if the end point is inside ''X<sub>IX</sub>''
	\|-
	~~\|''r''='''3''' \|\| ...~~ the ~~polygon~~ ''X<sub>IX~~</sub>'' is included in the polygon ''P<sub>IP~~</sub>''
	\|}		\|}
	~~----~~
	;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgiline\|pgiline]], [[../pgxgrid\|pgxgrid]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]		;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgiline\|pgiline]], [[../pgxgrid\|pgxgrid]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]


	[[../#Functions\|<function list>]]		[[../#Functions\|<function list>]]

	~~;<var>X2, Y2</var>~~

	~~:The x/y coordinate of the last point in the line.~~

	~~=====Result:=====~~

	~~Detect intersections of the line <<var>X1</var>,<var>Y1</var>>..<<var>X2</var>,<var>Y2</var>> and the polygon <var>XS</var>[<var>IX</var>].~~

	~~The result <var>IS</var> is an "N x 3" matrix:~~

	~~row 0: col0,col1 x and y of start-point~~

	~~col2 0 if start-point outside and 1 if start-point inside the polygon~~

	~~...~~

	~~row i: col0,col1 x and y of intersection point i (i = 1 .. N-2)~~

	~~col2 0 if the line leaves and 1 if the line enters the polygon~~

	~~...~~

	~~row N-1: col0,col1 x and y of end-point~~

	~~col2 0 if end-point outside and 1 if end-point inside the polygon~~

193.171.195.48 at 07:15, 20 April 2011

2011-04-20T07:15:04Z

@@ Line 1: / Line 1: @@
 {{DISPLAYTITLE:{{SUBPAGENAME}}}}
-=====pgiline - detect line intersection=====
+Find all intersections of a line, defined by the starting and the ending point, with the polygon ''x''.
-=====Usage:=====
+:;<var>PX1, PY1, PX2, PY2</var>: The start point <''PX1'',''PY1''> and the end point <''PX2'',''PY2''> of the line ''P'' to be tested.
-=====Description:=====
+[[../#Functions|<function list>]]
 ;<var>X2, Y2</var>

Toni: moved Programmer Guide/Command Reference/EVAL/pgiline - detect line intersection to Programmer Guide/Command Reference/EVAL/pgiline

2011-04-01T10:31:58Z

moved Programmer Guide/Command Reference/EVAL/pgiline - detect line intersection to Programmer Guide/Command Reference/EVAL/pgiline

← Older revision	Revision as of 12:31, 1 April 2011
(No difference)