Kevin Ryde > Math-PlanePath > Math::PlanePath::Columns

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Module Version: 117   Source  

NAME ^

Math::PlanePath::Columns -- points in fixed-height columns

SYNOPSIS ^

 use Math::PlanePath::Columns;
 my $path = Math::PlanePath::Columns->new;
 my ($x, $y) = $path->n_to_xy (123);

DESCRIPTION ^

This path is columns of a given fixed height. For example height 5 would be

         |
      4  |   5  10  15  20        <---  height==5
      3  |   4   9  14  19
      2  |   3   8  13  18
      1  |   2   7  12  17  ...
    Y=0  |   1   6  11  16  21 
          ----------------------
           X=0   1   2   3   4  ...

N Start

The default is to number points starting N=1 as shown above. An optional n_start can give a different start, with the same shape. For example to start at 0,

    n_start => 0, height => 5

      4  |   4   9  14  19 
      3  |   3   8  13  18 
      2  |   2   7  12  17 
      1  |   1   6  11  16  ...
    Y=0  |   0   5  10  15  20
          ----------------------
           X=0   1   2   3   4  ...

The only effect is to push the N values around by a constant amount. It might help match coordinates with something else zero-based.

FUNCTIONS ^

See "FUNCTIONS" in Math::PlanePath for behaviour common to all path classes.

$path = Math::PlanePath::Columns->new (height => $h)
$path = Math::PlanePath::Columns->new (height => $h, n_start => $n)

Create and return a new path object. A height parameter must be supplied.

($x,$y) = $path->n_to_xy ($n)

Return the X,Y coordinates of point number $n in the path.

$n = $path->xy_to_n ($x,$y)

Return the point number for coordinates $x,$y.

$x and $y are rounded to the nearest integers, which has the effect of treating each point in the path as a square of side 1, so a rectangle $x >= -0.5 and -0.5 <= y < height+0.5 is covered.

($n_lo, $n_hi) = $path->rect_to_n_range ($x1,$y1, $x2,$y2)

The returned range is exact, meaning $n_lo and $n_hi are the smallest and biggest in the rectangle.

SEE ALSO ^

Math::PlanePath, Math::PlanePath::Rows, Math::PlanePath::CoprimeColumns

HOME PAGE ^

http://user42.tuxfamily.org/math-planepath/index.html

LICENSE ^

Copyright 2010, 2011, 2012, 2013, 2014 Kevin Ryde

This file is part of Math-PlanePath.

Math-PlanePath is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version.

Math-PlanePath is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with Math-PlanePath. If not, see <http://www.gnu.org/licenses/>.

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