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package Math::Intersection::StraightLine; |
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# ABSTRACT: Calculate intersection point for two lines |
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19709
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use 5.006001; |
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31
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use strict; |
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use warnings; |
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1076
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our $VERSION = '0.05'; |
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sub new{ |
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my ($class) = @_; |
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my $self = {}; |
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bless $self,$class; |
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1
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return $self; |
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}# new |
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sub functions{ |
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1
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250
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my ($self,$f_one,$f_two) = @_; |
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1
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my $factor = 3; |
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1
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my $line_one = [ |
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[0,$f_one->[1]], |
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[$factor,($f_one->[0] * $factor) + $f_one->[1]], |
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]; |
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1
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my $line_two = [ |
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[0,$f_two->[1]], |
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[$factor,($f_two->[0] * $factor) + $f_two->[1]], |
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]; |
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29
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return $self->points($line_one,$line_two); |
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}# function |
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sub vectors{ |
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524
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my ($self,$vector_one,$vector_two) = @_; |
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my @equation_one = ($vector_one->[0]->[0],$vector_one->[1]->[0], |
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$vector_two->[0]->[0],$vector_two->[1]->[0],); |
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10
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my @equation_two = ($vector_one->[0]->[1],$vector_one->[1]->[1], |
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$vector_two->[0]->[1],$vector_two->[1]->[1],); |
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my $factor_one = $vector_two->[1]->[1]; |
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my $factor_two = $vector_two->[1]->[0]; |
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41
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for(@equation_one){ |
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40
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$_ *= $factor_one; |
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} |
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45
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10
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for(@equation_two){ |
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$_ *= $factor_two; |
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} |
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48
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49
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my @result_equation; |
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for(0..3){ |
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push(@result_equation,$equation_one[$_] - $equation_two[$_]); |
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} |
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53
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54
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my $point = undef; |
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55
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56
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10
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100
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if($result_equation[1] != 0){ |
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my $constant = $result_equation[2] - $result_equation[0]; |
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58
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my $lambda = $constant / $result_equation[1]; |
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60
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6
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$point = [$vector_one->[0]->[0] + ($vector_one->[1]->[0] * $lambda), |
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61
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$vector_one->[0]->[1] + ($vector_one->[1]->[1] * $lambda),]; |
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62
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} |
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63
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10
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100
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21
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if(_check_parallel_vectors($vector_one,$vector_two)){ |
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64
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4
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100
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12
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if(defined _check_point_on_vector($vector_one,$vector_two->[0])){ |
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65
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1
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2
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$point = -1; |
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66
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} |
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67
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else{ |
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$point = 0; |
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69
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} |
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70
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} |
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71
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10
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return $point; |
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72
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}# vectors |
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74
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sub point_limited{ |
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5
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5
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1
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1490
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my ($self,$line_one,$line_two) = @_; |
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76
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5
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11
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my @coords_one = @$line_one; |
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5
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my @coords_two = @$line_two; |
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78
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5
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21
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my $vector_one = [$coords_one[0],[$coords_one[0]->[0] - $coords_one[1]->[0], |
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79
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$coords_one[0]->[1] - $coords_one[1]->[1]]]; |
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80
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5
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my $vector_two = [$coords_two[0],[$coords_two[0]->[0] - $coords_two[1]->[0], |
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81
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$coords_two[0]->[1] - $coords_two[1]->[1]]]; |
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82
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5
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8
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my $result = $self->vectors($vector_one,$vector_two); |
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83
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6
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my $return = 0; |
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84
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5
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100
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66
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37
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if(defined $result && ref($result) eq 'ARRAY' && |
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100
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66
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85
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_check_point_on_line($vector_one,$result) && |
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86
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_check_point_on_line($vector_two,$result)){ |
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87
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2
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3
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$return = $result; |
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88
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} |
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89
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5
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50
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if(_check_overlapping_lines($line_one,$line_two,$vector_one,$vector_two)){ |
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90
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0
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0
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$return = -1; |
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91
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} |
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92
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5
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22
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return $return; |
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93
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}# point_limited |
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94
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95
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96
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sub points{ |
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97
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2
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2
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1
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232
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my ($self,$line_one,$line_two) = @_; |
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98
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2
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6
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my @coords_one = @$line_one; |
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99
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2
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3
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my @coords_two = @$line_two; |
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100
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2
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11
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my $vector_one = [$coords_one[0],[$coords_one[0]->[0] - $coords_one[1]->[0], |
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101
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$coords_one[0]->[1] - $coords_one[1]->[1]]]; |
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102
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2
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9
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my $vector_two = [$coords_two[0],[$coords_two[0]->[0] - $coords_two[1]->[0], |
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103
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$coords_two[0]->[1] - $coords_two[1]->[1]]]; |
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104
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2
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497
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my $result = $self->vectors($vector_one,$vector_two); |
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105
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2
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3
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my $return = 0; |
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106
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2
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50
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33
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9
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if(defined $result && ref($result) eq 'ARRAY'){ |
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107
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2
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2
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$return = $result; |
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108
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} |
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109
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2
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50
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4
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if(_check_overlapping_lines($line_one,$line_two,$vector_one,$vector_two)){ |
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110
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0
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0
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$return = -1; |
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111
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} |
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112
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2
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7
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return $return; |
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113
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}# points |
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114
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115
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sub _check_point_on_line{ |
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116
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33
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33
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35
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my ($vector,$point) = @_; |
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117
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33
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24
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my $return = 1; |
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118
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119
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33
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44
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my $check = _check_point_on_vector($vector,$point); |
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120
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33
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100
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66
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81
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if(!defined $check || $check > 0 || $check < -1){ |
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100
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121
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29
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24
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$return = 0; |
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122
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} |
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123
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124
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33
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114
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return $return; |
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125
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}# _check_point_on_line |
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126
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127
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sub _check_overlapping_lines{ |
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128
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7
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7
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10
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my ($line_one,$line_two,$vector_one,$vector_two) = @_; |
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129
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7
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5
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my $return = 0; |
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130
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7
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50
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33
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12
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if(_check_point_on_line($vector_one,$line_two->[0]) || |
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33
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33
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131
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_check_point_on_line($vector_one,$line_two->[1]) || |
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132
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_check_point_on_line($vector_two,$line_one->[0]) || |
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133
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_check_point_on_line($vector_two,$line_one->[1])){ |
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134
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0
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0
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$return = 1; |
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135
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} |
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136
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7
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14
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return $return; |
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137
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}# _check_overlapping_lines |
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138
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139
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sub _check_parallel_vectors{ |
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140
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10
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10
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11
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my ($vector_one,$vector_two) = @_; |
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141
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10
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8
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my $return = 0; |
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142
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10
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13
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for(0,1){ |
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143
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20
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100
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66
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108
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if(($vector_one->[1]->[0] == 0 && $vector_two->[1]->[0] == 0) || |
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66
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66
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144
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($vector_one->[1]->[1] == 0 && $vector_two->[1]->[1] == 0)){ |
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145
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2
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5
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$return = 1; |
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146
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} |
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147
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else{ |
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148
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18
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100
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66
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62
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unless($vector_two->[1]->[0] == 0 || $vector_two->[1]->[1] == 0){ |
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149
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8
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12
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my $quot_one = $vector_one->[1]->[0] / $vector_two->[1]->[0]; |
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150
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8
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10
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my $quot_two = $vector_one->[1]->[1] / $vector_two->[1]->[1]; |
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151
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8
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100
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18
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if($quot_one == $quot_two){ |
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152
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6
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10
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$return = 1; |
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153
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} |
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154
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} |
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155
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} |
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156
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} |
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157
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10
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28
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return $return; |
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158
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}# _check_parallel_vectors |
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159
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160
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sub _check_point_on_vector{ |
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161
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37
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37
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29
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my ($vector,$point) = @_; |
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162
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37
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32
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my $return = undef; |
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163
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37
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20
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my $tmp_check = undef; |
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164
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37
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118
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for(0,1){ |
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165
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61
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100
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100
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288
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if($vector->[1]->[$_] == 0 && ($point->[$_] != $vector->[0]->[$_])){ |
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100
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166
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15
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11
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$return = 0; |
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167
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15
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19
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last; |
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168
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} |
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169
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elsif($vector->[1]->[$_] != 0){ |
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170
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43
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65
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my $check = ($point->[$_] - $vector->[0]->[$_]) / $vector->[1]->[$_]; |
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171
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43
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100
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79
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unless(defined $tmp_check){ |
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100
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172
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24
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45
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$tmp_check = $check; |
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173
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} |
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174
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elsif(abs($tmp_check - $check) > 0.00001){ |
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175
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16
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34
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$return = 0; |
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176
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} |
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177
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|
|
|
} |
|
178
|
|
|
|
|
|
|
} |
|
179
|
37
|
100
|
66
|
|
|
117
|
if(defined $return && $return == 0){ |
|
|
|
50
|
|
|
|
|
|
|
180
|
31
|
|
|
|
|
24
|
$return = undef; |
|
181
|
|
|
|
|
|
|
} |
|
182
|
|
|
|
|
|
|
elsif(! defined $return){ |
|
183
|
6
|
|
|
|
|
5
|
$return = $tmp_check; |
|
184
|
|
|
|
|
|
|
} |
|
185
|
37
|
|
|
|
|
59
|
return $return; |
|
186
|
|
|
|
|
|
|
}# _check_point_on_vector |
|
187
|
|
|
|
|
|
|
|
|
188
|
|
|
|
|
|
|
1; |
|
189
|
|
|
|
|
|
|
|
|
190
|
|
|
|
|
|
|
__END__ |