t/NumSeq-PlanePathDelta.t

#!/usr/bin/perl -w

# Copyright 2010, 2011, 2012, 2013 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/>.

use 5.004;
use strict;
use Test;

use lib 't';
use MyTestHelpers;
BEGIN { MyTestHelpers::nowarnings(); }

# uncomment this to run the ### lines
#use Smart::Comments '###';


my $test_count = (tests => 94)[1];
plan tests => $test_count;

if (! eval { require Math::NumSeq; 1 }) {
  MyTestHelpers::diag ('skip due to Math::NumSeq not available -- ',$@);
  foreach (1 .. $test_count) {
    skip ('due to no Math::NumSeq', 1, 1);
  }
  exit 0;
}

require Math::NumSeq::PlanePathDelta;

#------------------------------------------------------------------------------
# _delta_func_Dir4()

ok (Math::NumSeq::PlanePathDelta::_delta_func_Dir4(199, 0), 0);
ok (Math::NumSeq::PlanePathDelta::_delta_func_Dir4(0, 199), 1);
ok (Math::NumSeq::PlanePathDelta::_delta_func_Dir4(-199, 0), 2);
ok (Math::NumSeq::PlanePathDelta::_delta_func_Dir4(0, -199), 3);

ok (Math::NumSeq::PlanePathDelta::_delta_func_Dir4(1,1), 0.5);
ok (Math::NumSeq::PlanePathDelta::_delta_func_Dir4(-3,3), 1.5);
ok (Math::NumSeq::PlanePathDelta::_delta_func_Dir4(-3,-3), 2.5);
ok (Math::NumSeq::PlanePathDelta::_delta_func_Dir4(2,-2), 3.5);

{
  require Math::Trig;
  my $two_pi = 2 * Math::Trig::pi();
  foreach my $degrees (5, 85, 95, 175, 185, 265, 275, 355) {
    my $radians = $degrees/360 * $two_pi;
    my $dx = cos($radians);
    my $dy = sin($radians);
    my $want_4 = 4 * $degrees / 360;
    my $got_4 = Math::NumSeq::PlanePathDelta::_delta_func_Dir4($dx,$dy);

    ### $dx
    ### $dy
    ### $want_4
    ### $got_4
    ok ($got_4 >= 0);
    ok ($got_4 < 4);
    ok ($got_4 + 0.01 > $want_4);
    ok ($got_4 - 0.01 < $want_4);
  }
}

#------------------------------------------------------------------------------
# _delta_func_TDir6()

ok (Math::NumSeq::PlanePathDelta::_delta_func_TDir6(199,0), 0);
ok (Math::NumSeq::PlanePathDelta::_delta_func_TDir6(5,5), 1);
ok (Math::NumSeq::PlanePathDelta::_delta_func_TDir6(-5,5), 2);
ok (Math::NumSeq::PlanePathDelta::_delta_func_TDir6(-5,0), 3);
ok (Math::NumSeq::PlanePathDelta::_delta_func_TDir6(-2,-2), 4);
ok (Math::NumSeq::PlanePathDelta::_delta_func_TDir6(2,-2), 5);

# twelfths at dx=3,dy=1 and dx=0,dy=1
ok (Math::NumSeq::PlanePathDelta::_delta_func_TDir6(3,1), 0.5); # +3,+1
ok (Math::NumSeq::PlanePathDelta::_delta_func_TDir6(0,199), 1.5); # 0,+1
ok (Math::NumSeq::PlanePathDelta::_delta_func_TDir6(-6,2), 2.5); # -3,+1
ok (Math::NumSeq::PlanePathDelta::_delta_func_TDir6(-6,-2), 3.5);
ok (Math::NumSeq::PlanePathDelta::_delta_func_TDir6(0,-199), 4.5);
ok (Math::NumSeq::PlanePathDelta::_delta_func_TDir6(3,-1), 5.5);

{
  my $got_6 = Math::NumSeq::PlanePathDelta::_delta_func_TDir6(1,1.001);
  ok ($got_6 >= 1);
  ok ($got_6 <= 1.1);
}
{
  my $got_6 = Math::NumSeq::PlanePathDelta::_delta_func_TDir6(-1,0.999);
  ok ($got_6 >= 2);
  ok ($got_6 <= 2.1);
}
{
  my $got_6 = Math::NumSeq::PlanePathDelta::_delta_func_TDir6(-1,0.0001);
  ok ($got_6 >= 2.9);
  ok ($got_6 <= 3);
}
{
  my $got_6 = Math::NumSeq::PlanePathDelta::_delta_func_TDir6(-1,-0.0001);
  ok ($got_6 >= 3);
  ok ($got_6 <= 3.1);
}
{
  require Math::Trig;
  my $two_pi = 2 * Math::Trig::pi();
  foreach my $degrees (5, 85, 95, 175, 185, 265, 275, 355) {
    my $radians = $degrees/360 * $two_pi;
    my $dx = cos($radians);
    my $dy = sin($radians) / sqrt(3); # flattened
    my $want_6 = 6 * $degrees / 360;
    my $got_6 = Math::NumSeq::PlanePathDelta::_delta_func_TDir6($dx,$dy);

    ### $dx
    ### $dy
    ### $want_6
    ### $got_6
    ok ($got_6 >= 0);
    ok ($got_6 < 6);
    ok ($got_6 + 0.01 > $want_6);
    ok ($got_6 - 0.01 < $want_6);
  }
}

#------------------------------------------------------------------------------
# characteristic()

foreach my $elem
  (['increasing',undef ], # default SquareSpiral dX not increasing
   ['non_decreasing', 1, planepath => 'MultipleRings,step=0', delta_type => 'dX' ],
  ) {
  my ($key, $want, @parameters) = @$elem;

  my $seq = Math::NumSeq::PlanePathDelta->new (@parameters);
  ok ($seq->characteristic($key), $want,
      join(' ', @parameters));
}


# #------------------------------------------------------------------------------
# # values_min(), values_max()
# 
# foreach my $elem
#   ([undef, undef ], # default undef for SquareSpiral X
#    [0,undef, coordinate_type => 'Radius' ],
#    [0,undef, coordinate_type => 'RSquared' ],
# 
#    [0,undef, planepath => 'HilbertCurve', coordinate_type => 'X' ],
#    [0,undef, planepath => 'HilbertCurve', coordinate_type => 'Y' ],
#    [0,undef, planepath => 'HilbertCurve', coordinate_type => 'Sum' ],
#    [0,undef, planepath => 'HilbertCurve', coordinate_type => 'Product' ],
# 
#    [undef,undef, planepath => 'CellularRule54', coordinate_type => 'X' ],
#    [0,undef,     planepath => 'CellularRule54', coordinate_type => 'Y' ],
#    [0,undef,     planepath => 'CellularRule54', coordinate_type => 'Sum' ],
#    [undef,undef, planepath => 'CellularRule54', coordinate_type => 'Product' ],
#    [0,undef,     planepath => 'CellularRule54', coordinate_type => 'Radius' ],
#    [0,undef,     planepath => 'CellularRule54', coordinate_type => 'RSquared' ],
#    [undef,0,     planepath => 'CellularRule54', coordinate_type => 'DiffXY' ],
#    [0,undef,     planepath => 'CellularRule54', coordinate_type => 'DiffYX' ],
#    [0,undef,     planepath => 'CellularRule54', coordinate_type => 'AbsDiff' ],
# 
#    [undef,undef, planepath => 'CellularRule190', coordinate_type => 'X' ],
#    [0,undef,     planepath => 'CellularRule190', coordinate_type => 'Y' ],
#    [0,undef,     planepath => 'CellularRule190', coordinate_type => 'Sum' ],
#    [undef,undef, planepath => 'CellularRule190', coordinate_type => 'Product' ],
#    [0,undef,   planepath => 'CellularRule190', coordinate_type => 'Radius' ],
#    [0,undef,   planepath => 'CellularRule190', coordinate_type => 'RSquared' ],
# 
#    [undef,undef, planepath => 'UlamWarburton', coordinate_type => 'X' ],
#    [undef,undef, planepath => 'UlamWarburton', coordinate_type => 'Y' ],
#    [undef,undef, planepath => 'UlamWarburton', coordinate_type => 'Sum' ],
#    [undef,undef, planepath => 'UlamWarburton', coordinate_type => 'Product' ],
#    [0,undef, planepath => 'UlamWarburton', coordinate_type => 'Radius' ],
#    [0,undef, planepath => 'UlamWarburton', coordinate_type => 'RSquared' ],
# 
#    [0,undef, planepath => 'UlamWarburtonQuarter', coordinate_type => 'X' ],
#    [0,undef, planepath => 'UlamWarburtonQuarter', coordinate_type => 'Y' ],
#    [0,undef, planepath => 'UlamWarburtonQuarter', coordinate_type => 'Sum' ],
#    [0,undef, planepath => 'UlamWarburtonQuarter', coordinate_type => 'Product' ],
#    [0,undef, planepath => 'UlamWarburtonQuarter', coordinate_type => 'Radius' ],
#    [0,undef, planepath => 'UlamWarburtonQuarter', coordinate_type => 'RSquared' ],
# 
# 
#    [3,undef, planepath => 'PythagoreanTree', coordinate_type => 'X' ],
#    [4,undef, planepath => 'PythagoreanTree', coordinate_type => 'Y' ],
#    [7,undef, planepath => 'PythagoreanTree', coordinate_type => 'Sum' ],
#    [3*4,undef, planepath => 'PythagoreanTree', coordinate_type => 'Product' ],
#    [5,undef, planepath => 'PythagoreanTree', coordinate_type => 'Radius' ],
#    [25,undef, planepath => 'PythagoreanTree', coordinate_type => 'RSquared' ],
#    [undef,undef, planepath => 'PythagoreanTree', coordinate_type => 'DiffXY' ],
#    [undef,undef, planepath => 'PythagoreanTree', coordinate_type => 'DiffYX' ],
#    [0,undef, planepath => 'PythagoreanTree', coordinate_type => 'AbsDiff' ],
# 
#    [2,undef, planepath => 'PythagoreanTree,coordinates=PQ', coordinate_type => 'X' ],
#    [1,undef, planepath => 'PythagoreanTree,coordinates=PQ', coordinate_type => 'Y' ],
#    [3,undef, planepath => 'PythagoreanTree,coordinates=PQ', coordinate_type => 'Sum' ],
#    [2,undef, planepath => 'PythagoreanTree,coordinates=PQ', coordinate_type => 'Product' ],
#    #[sqrt(5),undef, planepath => 'PythagoreanTree,coordinates=PQ', coordinate_type => 'Radius' ],
#    [5,undef, planepath => 'PythagoreanTree,coordinates=PQ', coordinate_type => 'RSquared' ],
#    [1,undef, planepath => 'PythagoreanTree,coordinates=PQ', coordinate_type => 'DiffXY' ],
#    [undef,-1, planepath => 'PythagoreanTree,coordinates=PQ', coordinate_type => 'DiffYX' ],
#    [1,undef, planepath => 'PythagoreanTree,coordinates=PQ', coordinate_type => 'AbsDiff' ],
# 
# 
#    [0,undef, planepath => 'HypotOctant', coordinate_type => 'X' ],
#    [0,undef, planepath => 'HypotOctant', coordinate_type => 'Y' ],
#    [0,undef, planepath => 'HypotOctant', coordinate_type => 'Sum' ],
#    [0,undef, planepath => 'HypotOctant', coordinate_type => 'Product' ],
#    [0,undef, planepath => 'HypotOctant', coordinate_type => 'Radius' ],
#    [0,undef, planepath => 'HypotOctant', coordinate_type => 'RSquared' ],
#    [0,undef, planepath => 'HypotOctant', coordinate_type => 'DiffXY' ],
#    [undef,0, planepath => 'HypotOctant', coordinate_type => 'DiffYX' ],
#    [0,undef, planepath => 'HypotOctant', coordinate_type => 'AbsDiff' ],
# 
# 
#    [2,undef, planepath => 'DivisibleColumns,divisor_type=proper', coordinate_type => 'X' ],
#    [1,undef, planepath => 'DivisibleColumns,divisor_type=proper', coordinate_type => 'Y' ],
#    [3,undef, planepath => 'DivisibleColumns,divisor_type=proper', coordinate_type => 'Sum' ],
#    [2,undef, planepath => 'DivisibleColumns,divisor_type=proper', coordinate_type => 'Product' ],
#    # [sqrt(5),undef, planepath => 'DivisibleColumns,divisor_type=proper', coordinate_type => 'Radius' ],
#    [5,undef, planepath => 'DivisibleColumns,divisor_type=proper', coordinate_type => 'RSquared' ],
#    [1,undef, planepath => 'DivisibleColumns,divisor_type=proper', coordinate_type => 'DiffXY' ],
#    [undef,-1, planepath => 'DivisibleColumns,divisor_type=proper', coordinate_type => 'DiffYX' ],
#    [1,undef, planepath => 'DivisibleColumns,divisor_type=proper', coordinate_type => 'AbsDiff' ],
# 
#    [1,undef, planepath => 'DivisibleColumns', coordinate_type => 'X' ],
#    [1,undef, planepath => 'DivisibleColumns', coordinate_type => 'Y' ],
#    [2,undef, planepath => 'DivisibleColumns', coordinate_type => 'Sum' ],
#    [1,undef, planepath => 'DivisibleColumns', coordinate_type => 'Product' ],
#    # [sqrt(2),undef, planepath => 'DivisibleColumns', coordinate_type => 'Radius' ],
#    [2,undef, planepath => 'DivisibleColumns', coordinate_type => 'RSquared' ],
#    [0,undef, planepath => 'DivisibleColumns', coordinate_type => 'DiffXY' ],
#    [undef,0, planepath => 'DivisibleColumns', coordinate_type => 'DiffYX' ],
#    [0,undef, planepath => 'DivisibleColumns', coordinate_type => 'AbsDiff' ],
# 
# 
#    [1,undef, planepath => 'CoprimeColumns', coordinate_type => 'X' ],
#    [1,undef, planepath => 'CoprimeColumns', coordinate_type => 'Y' ],
#    [2,undef, planepath => 'CoprimeColumns', coordinate_type => 'Sum' ],
#    [1,undef, planepath => 'CoprimeColumns', coordinate_type => 'Product' ],
#    # [sqrt(2),undef, planepath => 'CoprimeColumns', coordinate_type => 'Radius' ],
#    [2,undef, planepath => 'CoprimeColumns', coordinate_type => 'RSquared' ],
#    [0,undef, planepath => 'CoprimeColumns', coordinate_type => 'DiffXY' ],
#    [undef,0, planepath => 'CoprimeColumns', coordinate_type => 'DiffYX' ],
#    [0,undef, planepath => 'CoprimeColumns', coordinate_type => 'AbsDiff' ],
# 
#    [1,undef, planepath => 'RationalsTree', coordinate_type => 'X' ],
#    [1,undef, planepath => 'RationalsTree', coordinate_type => 'Y' ],
#    # X>=1 and Y>=1 always so Sum>=2
#    [2,undef, planepath => 'RationalsTree', coordinate_type => 'Sum' ],
#    [1,undef, planepath => 'RationalsTree', coordinate_type => 'Product' ],
#    # [sqrt(2),undef, planepath => 'RationalsTree', coordinate_type => 'Radius' ],
#    [2,undef, planepath => 'RationalsTree', coordinate_type => 'RSquared' ],
#    # whole first quadrant so diff positive and negative
#    [undef,undef, planepath => 'RationalsTree', coordinate_type => 'DiffXY' ],
#    [undef,undef, planepath => 'RationalsTree', coordinate_type => 'DiffYX' ],
#    [0,undef,     planepath => 'RationalsTree', coordinate_type => 'AbsDiff' ],
# 
#    [0,undef, planepath => 'QuadricCurve', coordinate_type => 'X' ],
#    [undef,undef, planepath => 'QuadricCurve', coordinate_type => 'Y' ],
#    [0,undef, planepath => 'QuadricCurve', coordinate_type => 'Sum' ],
#    [undef,undef, planepath => 'QuadricCurve', coordinate_type => 'Product' ],
#    [0,undef, planepath => 'QuadricCurve', coordinate_type => 'Radius' ],
#    [0,undef, planepath => 'QuadricCurve', coordinate_type => 'RSquared' ],
#    [0,undef, planepath => 'QuadricCurve', coordinate_type => 'DiffXY' ],
#    [undef,0, planepath => 'QuadricCurve', coordinate_type => 'DiffYX' ],
#    [0,undef, planepath => 'QuadricCurve', coordinate_type => 'AbsDiff' ],
# 
#    [0,5, planepath => 'Rows,width=6', coordinate_type => 'X' ],
#    [0,undef, planepath => 'Rows,width=6', coordinate_type => 'Y' ],
#    [0,undef, planepath => 'Rows,width=6', coordinate_type => 'Sum' ],
#    [0,undef, planepath => 'Rows,width=6', coordinate_type => 'Product' ],
#    [0,undef, planepath => 'Rows,width=6', coordinate_type => 'Radius' ],
#    [0,undef, planepath => 'Rows,width=6', coordinate_type => 'RSquared' ],
#    [undef,5, planepath => 'Rows,width=6', coordinate_type => 'DiffXY' ],
#    [-5,undef, planepath => 'Rows,width=6', coordinate_type => 'DiffYX' ],
#    [0,undef, planepath => 'Rows,width=6', coordinate_type => 'AbsDiff' ],
# 
#    [0,undef, planepath => 'Columns,height=6', coordinate_type => 'X' ],
#    [0,5,     planepath => 'Columns,height=6', coordinate_type => 'Y' ],
#    [0,undef, planepath => 'Columns,height=6', coordinate_type => 'Sum' ],
#    [0,undef, planepath => 'Columns,height=6', coordinate_type => 'Product' ],
#    [0,undef, planepath => 'Columns,height=6', coordinate_type => 'Radius' ],
#    [0,undef, planepath => 'Columns,height=6', coordinate_type => 'RSquared' ],
#    [-5,undef, planepath => 'Columns,height=6', coordinate_type => 'DiffXY' ],
#    [undef,5, planepath => 'Columns,height=6', coordinate_type => 'DiffYX' ],
#    [0,undef, planepath => 'Columns,height=6', coordinate_type => 'AbsDiff' ],
# 
#    [0,0, planepath => 'PyramidRows,step=0', coordinate_type => 'X' ],
#    [0,undef,     planepath => 'PyramidRows,step=0', coordinate_type => 'Y' ],
#    [0,undef, planepath => 'PyramidRows,step=0', coordinate_type => 'Sum' ],
#    [0,undef, planepath => 'PyramidRows,step=0', coordinate_type => 'Product' ],
#    [0,undef, planepath => 'PyramidRows,step=0', coordinate_type => 'Radius' ],
#    [0,undef, planepath => 'PyramidRows,step=0', coordinate_type => 'RSquared' ],
#    [undef,0, planepath => 'PyramidRows,step=0', coordinate_type => 'DiffXY' ],
#    [0,undef, planepath => 'PyramidRows,step=0', coordinate_type => 'DiffYX' ],
#    [0,undef, planepath => 'PyramidRows,step=0', coordinate_type => 'AbsDiff' ],
# 
#    [0,undef, planepath => 'PyramidRows,step=1', coordinate_type => 'X' ],
#    [0,undef, planepath => 'PyramidRows,step=1', coordinate_type => 'Y' ],
#    [0,undef, planepath => 'PyramidRows,step=1', coordinate_type => 'Sum' ],
#    [0,undef, planepath => 'PyramidRows,step=1', coordinate_type => 'Product' ],
#    [0,undef, planepath => 'PyramidRows,step=1', coordinate_type => 'Radius' ],
#    [0,undef, planepath => 'PyramidRows,step=1', coordinate_type => 'RSquared' ],
#    [undef,0, planepath => 'PyramidRows,step=1', coordinate_type => 'DiffXY' ],
#    [0,undef, planepath => 'PyramidRows,step=1', coordinate_type => 'DiffYX' ],
#    [0,undef, planepath => 'PyramidRows,step=1', coordinate_type => 'AbsDiff' ],
# 
#    [undef,undef, planepath => 'PyramidRows,step=2', coordinate_type => 'X' ],
#    [0,undef, planepath => 'PyramidRows,step=2', coordinate_type => 'Y' ],
#    [0,undef, planepath => 'PyramidRows,step=2', coordinate_type => 'Sum' ],
#    [undef,undef, planepath => 'PyramidRows,step=2', coordinate_type => 'Product' ],
#    [0,undef, planepath => 'PyramidRows,step=2', coordinate_type => 'Radius' ],
#    [0,undef, planepath => 'PyramidRows,step=2', coordinate_type => 'RSquared' ],
#    [undef,0, planepath => 'PyramidRows,step=2', coordinate_type => 'DiffXY' ],
#    [0,undef, planepath => 'PyramidRows,step=2', coordinate_type => 'DiffYX' ],
#    [0,undef, planepath => 'PyramidRows,step=2', coordinate_type => 'AbsDiff' ],
# 
#    [undef,undef, planepath => 'PyramidRows,step=3', coordinate_type => 'X' ],
#    [0,undef, planepath => 'PyramidRows,step=3', coordinate_type => 'Y' ],
#    [undef,undef, planepath => 'PyramidRows,step=3', coordinate_type => 'Sum' ],
#    [undef,undef, planepath => 'PyramidRows,step=3', coordinate_type => 'Product' ],
#    [0,undef, planepath => 'PyramidRows,step=3', coordinate_type => 'Radius' ],
#    [0,undef, planepath => 'PyramidRows,step=3', coordinate_type => 'RSquared' ],
#    [undef,undef, planepath => 'PyramidRows,step=3', coordinate_type => 'DiffXY' ],
#    [undef,undef, planepath => 'PyramidRows,step=3', coordinate_type => 'DiffYX' ],
#    [0,undef, planepath => 'PyramidRows,step=3', coordinate_type => 'AbsDiff' ],
# 
# 
#    [0,undef, planepath => 'HIndexing', coordinate_type => 'X' ],
#    [0,undef, planepath => 'HIndexing', coordinate_type => 'Y' ],
#    [0,undef, planepath => 'HIndexing', coordinate_type => 'Sum' ],
#    [0,undef, planepath => 'HIndexing', coordinate_type => 'Product' ],
#    [0,undef, planepath => 'HIndexing', coordinate_type => 'Radius' ],
#    [0,undef, planepath => 'HIndexing', coordinate_type => 'RSquared' ],
#    [undef,0, planepath => 'HIndexing', coordinate_type => 'DiffXY' ],
#    [0,undef, planepath => 'HIndexing', coordinate_type => 'DiffYX' ],
#    [0,undef, planepath => 'HIndexing', coordinate_type => 'AbsDiff' ],
#   ) {
#   my ($want_min,$want_max, @parameters) = @$elem;
#   ### @parameters
#   ### $want_min
#   ### $want_max
# 
#   my $seq = Math::NumSeq::PlanePathDelta->new (@parameters);
#   ok ($seq->values_min, $want_min, "values_min() ".join(',',@parameters));
#   ok ($seq->values_max, $want_max, "values_max() ".join(',',@parameters));
# }


#------------------------------------------------------------------------------
exit 0;
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