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

Christian at 18:09, 21 April 2011

2011-04-21T18:09:43Z

← Older revision		Revision as of 20:09, 21 April 2011
Line 4:		Line 4:
	:<code>pgxgrid(<var>P</var>, <var>IP</var>, <var>X<sub>vector</sub></var>, <var>Y<sub>vector</sub></var>)</code>		:<code>pgxgrid(<var>P</var>, <var>IP</var>, <var>X<sub>vector</sub></var>, <var>Y<sub>vector</sub></var>)</code>
	:;<var>P</var>:a [[../#polygons\|closed point-list]] or a [[../#polygons\|polygon-stream]] defining one or more polygons.		:;<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>		:;<var>IP</var>:The index of the polygon of ''P'' to be tested; 0 ≤ <var>IP</var> < <code>[[../pgget\|pgget]](''P'')</code>
	:;<var>X</var>: The x-scale vector of the grid.		:;<var>X</var>: The x-scale vector of the grid.
	:;<var>Y</var>: The y-scale vector of the grid.		:;<var>Y</var>: The y-scale vector of the grid.

193.171.195.48 at 10:32, 21 April 2011

2011-04-21T10:32:37Z

← Older revision		Revision as of 12:32, 21 April 2011
Line 8:		Line 8:
	:;<var>Y</var>: The y-scale vector of the grid.		:;<var>Y</var>: The y-scale vector of the grid.
	;Result: The result ''r'' is a (N+1)x3 matrix, with N is the number of vertical grid lines intersecting the polygon.		;Result: The result ''r'' is a (N+1)x3 matrix, with N is the number of vertical grid lines intersecting the polygon.
	:~~:content~~ of ''r''[0,*]:		:Content of ''r''[0,*]:
	::{\|class="einrahmen"		::{\|class="einrahmen"
	\|''r''[0,0] \|\|''ixmin''		\|''r''[0,0] \|\|''ixmin''
Line 31:		Line 31:
	\|the relative length of the centerline		\|the relative length of the centerline
	\|}		\|}
	:~~:content~~ of ''r''[i,*], i=1..N (one row for each intersection line):		:Content of ''r''[i,*], i=1..N (one row for each intersection line):
	::{\|class="einrahmen"		::{\|class="einrahmen"
	\|''r''[i,0] \|\|''ix''		\|''r''[i,0] \|\|''ix''

193.171.195.48 at 08:22, 20 April 2011

2011-04-20T08:22:37Z

← Older revision		Revision as of 10:22, 20 April 2011
Line 8:		Line 8:
	:;<var>Y</var>: The y-scale vector of the grid.		:;<var>Y</var>: The y-scale vector of the grid.
	;Result: The result ''r'' is a (N+1)x3 matrix, with N is the number of vertical grid lines intersecting the polygon.		;Result: The result ''r'' is a (N+1)x3 matrix, with N is the number of vertical grid lines intersecting the polygon.
	:content of ''r''[0,*]:		::content of ''r''[0,*]:
	::{\|class="einrahmen"		::{\|class="einrahmen"
	\|''r''[0,0] \|\|''ixmin''		\|''r''[0,0] \|\|''ixmin''
Line 31:		Line 31:
	\|the relative length of the centerline		\|the relative length of the centerline
	\|}		\|}
	:content of ''r''[i,*], i=1..N (one row for each intersection line):		::content of ''r''[i,*], i=1..N (one row for each intersection line):
	::{\|class="einrahmen"		::{\|class="einrahmen"
	\|''r''[i,0] \|\|''ix''		\|''r''[i,0] \|\|''ix''

193.171.195.48 at 08:21, 20 April 2011

2011-04-20T08:21:06Z

← Older revision		Revision as of 10:21, 20 April 2011
Line 56:		Line 56:
	:Notes:		:Notes:
	:*The centerline is the line defined by the centerpoints <''X''[i],(''ymin''<sub>i</sub>+''ymax''<sub>i</sub>)/2> of all intersection lines. For the computation of ''aclen'' and ''acofs''<sub>i</sub> the x- and y-values of the points are used, while ''rclen'' and ''rcofs''<sub>i</sub> are computed from the x- and y-indices.		:*The centerline is the line defined by the centerpoints <''X''[i],(''ymin''<sub>i</sub>+''ymax''<sub>i</sub>)/2> of all intersection lines. For the computation of ''aclen'' and ''acofs''<sub>i</sub> the x- and y-values of the points are used, while ''rclen'' and ''rcofs''<sub>i</sub> are computed from the x- and y-indices.
			:*The function fails if a vertical grid line intersects the polygon more than 2 times.
	;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgiline\|pgiline]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]		;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgiline\|pgiline]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]
	~~:*The function fails if a vertical grid line intersects the polygon more than 2 times.~~

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

193.171.195.48 at 08:20, 20 April 2011

2011-04-20T08:20:43Z

← Older revision		Revision as of 10:20, 20 April 2011
Line 57:		Line 57:
	:*The centerline is the line defined by the centerpoints <''X''[i],(''ymin''<sub>i</sub>+''ymax''<sub>i</sub>)/2> of all intersection lines. For the computation of ''aclen'' and ''acofs''<sub>i</sub> the x- and y-values of the points are used, while ''rclen'' and ''rcofs''<sub>i</sub> are computed from the x- and y-indices.		:*The centerline is the line defined by the centerpoints <''X''[i],(''ymin''<sub>i</sub>+''ymax''<sub>i</sub>)/2> of all intersection lines. For the computation of ''aclen'' and ''acofs''<sub>i</sub> the x- and y-values of the points are used, while ''rclen'' and ''rcofs''<sub>i</sub> are computed from the x- and y-indices.
	;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgiline\|pgiline]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]		;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgiline\|pgiline]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]
			:*The function fails if a vertical grid line intersects the polygon more than 2 times.

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

193.171.195.48 at 08:19, 20 April 2011

2011-04-20T08:19:24Z

← Older revision		Revision as of 10:19, 20 April 2011
Line 55:		Line 55:
	\|}		\|}
	:Notes:		:Notes:
	:*The centerline is the line defined by the centerpoints <''X''[i],(''ymin''<sub>i</sub>+''ymax''<sub>i</sub>)/2> of all intersection lines. ~~The~~ the computation of ~~the~~ aclen and acofs the x and y values of the points are used, while rclen and rcofs are computed from the x and y indices.		:*The centerline is the line defined by the centerpoints <''X''[i],(''ymin''<sub>i</sub>+''ymax''<sub>i</sub>)/2> of all intersection lines. For the computation of ''aclen'' and ''acofs''<sub>i</sub> the x- and y-values of the points are used, while ''rclen'' and ''rcofs''<sub>i</sub> are computed from the x- and y-indices.
	;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgiline\|pgiline]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]		;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgiline\|pgiline]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]


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

193.171.195.48 at 08:17, 20 April 2011

2011-04-20T08:17:29Z

← Older revision		Revision as of 10:17, 20 April 2011
Line 55:		Line 55:
	\|}		\|}
	:Notes:		:Notes:
	:*The centerline is the line defined by the centerpoints <''X''[i],(''ymin''<sub>i</sub>+''ymax''<sub>i</sub>)/2> of all intersection lines		:*The centerline is the line defined by the centerpoints <''X''[i],(''ymin''<sub>i</sub>+''ymax''<sub>i</sub>)/2> of all intersection lines. The the computation of the aclen and acofs the x and y values of the points are used, while rclen and rcofs are computed from the x and y indices.
	;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgiline\|pgiline]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]		;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgiline\|pgiline]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]


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

193.171.195.48 at 08:13, 20 April 2011

2011-04-20T08:13:53Z

← Older revision		Revision as of 10:13, 20 April 2011
Line 33:		Line 33:
	:content of ''r''[i,*], i=1..N (one row for each intersection line):		:content of ''r''[i,*], i=1..N (one row for each intersection line):
	::{\|class="einrahmen"		::{\|class="einrahmen"
	\|''r''[i,0] \|\|''ix''~~[i]\|~~		\|''r''[i,0] \|\|''ix''
	\|the ''X'' index of the intersection line		\|the ''X'' index of the intersection line i
	\|-		\|-
	\|''r''[i,1] \|\|''iy''~~[i]~~		\|''r''[i,1] \|\|''iy''
	\|the ''Y'' index of the first point <''X''[''ix''~~[i]~~],''Y''[iy~~[i]~~]> inside ''P<sub>IP</sub>''		\|the ''Y'' index of the first point <''X''[''ix''],''Y''[''iy'']> i inside ''P<sub>IP</sub>''
	\|-		\|-
	\|''r''[i,2] \|\|''~~iymin~~''		\|''r''[i,2] \|\|''ny''
	\|the ~~index~~ of ~~the minimum~~ ''Y'' ~~value of an intersection line~~		\|the number of ''Y'' points inside ''P<sub>IP</sub>''
	\|-		\|-
	\|''r''[i,3] \|\|''~~iymax~~''		\|''r''[i,3] \|\|''ymin''
	\|the ~~index~~ of the ~~maximum~~ ''Y'' ~~value of an intersection line~~		\|the y value of the point where the intersection line i enters the polygon ''P<sub>IP</sub>''
	\|-		\|-
	\|''r''[i,4] \|\|''~~ngrid~~''		\|''r''[i,4] \|\|''ymax''
	\|the ~~accumlated number~~ of ~~grid points inside~~ ''P<sub>IP</sub>''		\|the y value of the point where the intersection line i leaves the polygon ''P<sub>IP</sub>''
	\|-		\|-
	\|''r''[i,5] \|\|''~~aclen~~''		\|''r''[i,5] \|\|''acofs''
	\|the absolute length of the centerline		\|the absolute length of the centerline from the begin to intersection line i
	\|-		\|-
	\|''r''[i,6] \|\|''rclen''		\|''r''[i,6] \|\|''rclen''
	\|the relative length of the centerline		\|the relative length of the centerline from the begin to intersection line i
	\|}		\|}
			:Notes:
			:*The centerline is the line defined by the centerpoints <''X''[i],(''ymin''<sub>i</sub>+''ymax''<sub>i</sub>)/2> of all intersection lines
	;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgiline\|pgiline]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]		;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgiline\|pgiline]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]


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

193.171.195.48 at 08:05, 20 April 2011

2011-04-20T08:05:24Z

← Older revision		Revision as of 10:05, 20 April 2011
Line 10:		Line 10:
	:content of ''r''[0,*]:		:content of ''r''[0,*]:
	::{\|class="einrahmen"		::{\|class="einrahmen"
	\|''r''[0,0] \|\|''ixmin'': the ''X'' index of the first vertical line intersecting ''P<sub>IP</sub>''		\|''r''[0,0] \|\|''ixmin''
			\|the ''X'' index of the first vertical line intersecting ''P<sub>IP</sub>''
	\|-		\|-
	\|''r''[0,1] \|\|''ixmax'': the ''X'' index of the last vertical line intersecting ''P<sub>IP</sub>''		\|''r''[0,1] \|\|''ixmax''
			\|the ''X'' index of the last vertical line intersecting ''P<sub>IP</sub>''
	\|-		\|-
	\|''r''[0,2] \|\|''iymin'': the index of the minimum ''Y'' value of an intersection line		\|''r''[0,2] \|\|''iymin''
			\|the index of the minimum ''Y'' value of an intersection line
	\|-		\|-
	\|''r''[0,3] \|\|''iymax'': the index of the maximum ''Y'' value of an intersection line		\|''r''[0,3] \|\|''iymax''
			\|the index of the maximum ''Y'' value of an intersection line
	\|-		\|-
	\|''r''[0,4] \|\|''ngrid'': the accumlated number of grid points inside ''P<sub>IP</sub>''		\|''r''[0,4] \|\|''ngrid''
			\|the accumlated number of grid points inside ''P<sub>IP</sub>''
	\|-		\|-
	\|''r''[0,5] \|\|''aclen'': the absolute length of the centerline		\|''r''[0,5] \|\|''aclen''
			\|the absolute length of the centerline
	\|-		\|-
	\|''r''[0,6] \|\|''rclen'': the relative length of the centerline		\|''r''[0,6] \|\|''rclen''
			\|the relative length of the centerline
	\|}		\|}
	:content of ''r''[i,*], i=1..N (one row for each intersection line):		:content of ''r''[i,*], i=1..N (one row for each intersection line):
	::{\|class="einrahmen"		::{\|class="einrahmen"
	\|''r''[i,0] \|\|''ix''[i]: the ''X'' index of the intersection line		\|''r''[i,0] \|\|''ix''[i]\|
			\|the ''X'' index of the intersection line
	\|-		\|-
	\|''r''[i,1] \|\|''iy''[i]: the ''Y'' index of the first point <''X''[''ix''[i]],''Y''[iy[i]]> inside ''P<sub>IP</sub>''		\|''r''[i,1] \|\|''iy''[i]
			\|the ''Y'' index of the first point <''X''[''ix''[i]],''Y''[iy[i]]> inside ''P<sub>IP</sub>''
	\|-		\|-
	\|''r''[i,2] \|\|''iymin'': the index of the minimum ''Y'' value of an intersection line		\|''r''[i,2] \|\|''iymin''
			\|the index of the minimum ''Y'' value of an intersection line
	\|-		\|-
	\|''r''[i,3] \|\|''iymax'': the index of the maximum ''Y'' value of an intersection line		\|''r''[i,3] \|\|''iymax''
			\|the index of the maximum ''Y'' value of an intersection line
	\|-		\|-
	\|''r''[i,4] \|\|''ngrid'': the accumlated number of grid points inside ''P<sub>IP</sub>''		\|''r''[i,4] \|\|''ngrid''
			\|the accumlated number of grid points inside ''P<sub>IP</sub>''
	\|-		\|-
	\|''r''[i,5] \|\|''aclen'': the absolute length of the centerline		\|''r''[i,5] \|\|''aclen''
			\|the absolute length of the centerline
	\|-		\|-
	\|''r''[i,6] \|\|''rclen'': the relative length of the centerline		\|''r''[i,6] \|\|''rclen''
			\|the relative length of the centerline
	\|}		\|}


	;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgiline\|pgiline]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]		;See also: [[../pginit\|pginit]], [[../pgget\|pgget]], [[../pgitest\|pgitest]], [[../pgiline\|pgiline]], [[../pgsplit\|pgsplit]], [[../pgtrans\|pgtrans]], [[../pghull\|pghull]]


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

193.171.195.48 at 08:03, 20 April 2011

2011-04-20T08:03:28Z

@@ Line 1: / Line 1: @@
 {{DISPLAYTITLE:{{SUBPAGENAME}}}}
-=====pgxgrid - compute polygon grid=====
+Find all parts of the vertical lines of a grid inside a polygon. The grid is defined by the vectors ''x'' (length ''nx'' and ''y'' (length ''ny''). The function detects all parts of the vertical grid lines <code><''x''[i],''y''[0]>..<''x''[i],''y''[''ny''-1]> (i=0..''nx''-1)</code>, which are inside the polygon ''p''.
-<code><var>XG</var> := pgXGrid( {pg_stream}<var>PS</var>, {number}<var>IPG</var>, {vector}<var>X</var>, {vector}<var>Y</var> )</code>
+;See also: [[../pginit|pginit]], [[../pgget|pgget]], [[../pgitest|pgitest]], [[../pgiline|pgiline]], [[../pgsplit|pgsplit]], [[../pgtrans|pgtrans]], [[../pghull|pghull]]
-Compute x grid inside polygon (vertical grid lines).
+[[../#Functions|<function list>]]