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package Physics::Water::SoundSpeed; |
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3
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#use 5.010001; |
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23765
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use strict; |
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44
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use warnings; |
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29
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1124
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use Data::Dumper; |
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14903
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1
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4579
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require Exporter; |
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our @ISA = qw(Exporter); |
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# Items to export into callers namespace by default. Note: do not export |
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# names by default without a very good reason. Use EXPORT_OK instead. |
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# Do not simply export all your public functions/methods/constants. |
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# This allows declaration use Physics::Water::SoundSpeed ':all'; |
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# If you do not need this, moving things directly into @EXPORT or @EXPORT_OK |
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# will save memory. |
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our %EXPORT_TAGS = ( 'all' => [ qw( |
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) ] ); |
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our @EXPORT_OK = ( @{ $EXPORT_TAGS{'all'} } ); |
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26
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our @EXPORT = qw( |
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27
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28
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); |
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29
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30
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our $VERSION = '0.92'; |
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31
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32
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# Preloaded methods go here. |
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34
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# ------------------------------------------------ |
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35
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# Class Data and methods |
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36
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{ |
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37
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my %default_hsh = ( |
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38
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'ppm' => 35, |
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39
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'stdpres' => 0.101325, |
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40
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'density_pure' => 1000, |
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41
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'density_sea' => 1027 |
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42
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); |
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43
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44
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$default_hsh{'units'} = 'SI'; |
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45
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46
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$default_hsh{'conv'} = |
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47
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{ |
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48
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'f2c' => 5/9, |
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49
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'ft2m' => 0.3048, |
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50
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'psi2kpa' => 6.89475729, |
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51
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'psi2mpa' => .00689475729, |
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52
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'm2ft' => 3.2808399 |
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53
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}; |
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54
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55
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# Class methods |
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56
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sub set_defaults |
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57
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{ |
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58
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0
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0
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0
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0
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my $class = shift @_; |
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59
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60
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0
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0
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my %set_hsh; |
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61
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0
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0
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0
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if ( ref($_[0]) eq "HASH" ) { %set_hsh = %{ $_[0] } } |
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0
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0
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0
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0
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62
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0
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0
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else { %set_hsh = @_ } |
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63
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64
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# Merge with existing hash |
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65
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0
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0
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%default_hsh = ( %default_hsh, %set_hsh); |
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66
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67
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0
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0
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return %default_hsh; |
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68
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} |
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69
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70
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sub get_defaults |
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71
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{ |
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72
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2
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2
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0
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22
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return %default_hsh; |
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73
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} |
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74
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} |
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75
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76
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# -------------------------- |
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77
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sub new |
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78
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{ |
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79
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2
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2
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0
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274
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my $caller = shift @_; |
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80
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81
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# In case someone wants to sub-class |
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82
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2
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5
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my $caller_is_obj = ref($caller); |
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83
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2
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33
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12
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my $class = $caller_is_obj || $caller; |
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84
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85
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# Passing reference or hash |
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86
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2
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3
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my %arg_hsh; |
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87
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2
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50
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7
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if ( ref($_[0]) eq "HASH" ) { %arg_hsh = %{ shift @_ } } |
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0
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0
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0
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88
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2
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5
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else { %arg_hsh = @_ } |
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89
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90
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# Override default hash with arguments |
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91
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2
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8
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my %conf_hsh = __PACKAGE__->get_defaults(); |
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92
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93
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2
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14
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%conf_hsh = (%conf_hsh, %arg_hsh); # overwrite defaults |
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94
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95
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# The object data structure |
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96
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2
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17
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my $self = bless { |
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97
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'units' => $conf_hsh{'units'}, |
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98
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'conv' => $conf_hsh{'conv'}, |
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99
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'ppm' => $conf_hsh{'ppm'}, |
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100
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'stdpres' => $conf_hsh{'stdpres'}, |
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101
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'density_pure' => $conf_hsh{'density_pure'}, |
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102
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'density_sea' => $conf_hsh{'density_sea'}, |
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103
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'err' => '' |
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104
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}, $class; |
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105
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106
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2
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9
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return $self; |
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107
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} |
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108
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109
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sub sound_speed |
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110
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{ |
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111
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1
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1
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0
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264
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my $self = shift; |
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112
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1
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3
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my $arg1 = shift; |
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113
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1
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3
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my $arg2 = shift; |
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114
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115
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1
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50
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33
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51
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if ( ( ref $arg1 eq 'ARRAY' ) && ( ref $arg2 eq 'ARRAY' ) ) |
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50
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33
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50
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33
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50
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33
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50
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33
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0
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33
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33
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33
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116
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{ |
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117
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# Input temp and pres arrays |
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118
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0
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0
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my @ss; |
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119
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0
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0
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for ( my $i = 0; $i <= $#$arg1; $i++ ) |
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120
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{ |
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121
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0
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0
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push @ss, sound_speed_tp($self, $arg1->[$i],$arg2->[$i],); |
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122
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} |
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123
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0
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0
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return \@ss; |
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124
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} |
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125
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elsif ( ( ref $arg1 eq 'ARRAY' ) && ( not ref $arg2 ) && ( $arg2 =~ /\d+/ ) ) |
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126
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{ |
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127
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# Input temp array and constant pres |
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128
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0
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0
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my @ss; |
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129
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0
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0
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for ( my $i = 0; $i <= $#$arg1; $i++ ) |
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130
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{ |
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131
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0
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0
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push @ss, sound_speed_tp($self, $arg1->[$i],$arg2); |
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132
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} |
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133
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0
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0
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return \@ss; |
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134
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} |
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135
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elsif ( ( not ref $arg1 ) && ( $arg1 =~ /\d+/ ) && ( ref $arg2 eq 'ARRAY' ) ) |
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136
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{ |
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137
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# Input temp array and constant pres |
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138
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0
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0
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my @ss; |
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139
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0
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0
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for ( my $i = 0; $i <= $#$arg2; $i++ ) |
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140
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{ |
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141
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0
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0
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push @ss, sound_speed_tp($self, $arg1, $arg2->[$i]); |
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142
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} |
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143
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0
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0
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return \@ss; |
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144
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} |
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145
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elsif ( ref $arg1 eq 'ARRAY' ) |
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146
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{ |
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147
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# Input temp array only |
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148
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0
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0
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my @ss; |
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149
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0
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0
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foreach my $temp ( @$arg1 ) |
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150
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{ |
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151
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0
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0
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push @ss, sound_speed_t($self, $temp); |
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152
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} |
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153
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154
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0
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0
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return \@ss; |
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155
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} |
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156
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elsif ( ( not ref $arg1 ) && ( $arg1 =~ /\d+/ ) && ( not ref $arg2 ) && ( $arg2 =~ /\d+/ ) ) |
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157
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{ |
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158
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# Input temp and pres scalars |
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159
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1
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5
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my $ss = sound_speed_tp($self, $arg1, $arg2); |
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160
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1
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4
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return $ss; |
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161
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} |
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162
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elsif ( $arg1 ) |
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163
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{ |
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164
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# Input temp scalar only |
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165
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0
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0
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my $ss = sound_speed_t($self, $arg1); |
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166
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0
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0
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return $ss; |
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167
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} |
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168
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169
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0
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0
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$self->{'err'} = "Input not recognized"; |
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170
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0
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0
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return ''; |
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171
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} |
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172
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173
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# Sound Speed as function of T |
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174
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# Marczak Equation: W. Marczak (1997), Water as a standard in the measurements of speed of sound in liquids J. Acoust. Soc. Am. 102(5) pp 2776-2779. |
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175
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sub sound_speed_t |
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176
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{ |
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177
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3
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3
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0
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321
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my $self = shift; |
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178
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3
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4
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my $temp = shift; |
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179
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180
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3
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100
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9
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if ( $self->{units} eq 'US' ) |
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181
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{ |
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182
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1
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3
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$temp = $self->{conv}->{f2c} * ( $temp - 32 ); |
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183
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} |
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184
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185
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3
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15
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my $ss = (1402.385) |
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186
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+ (5.038813 * $temp) |
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187
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- (5.799136 * 10**-2 * $temp**2) |
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188
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+ (3.287156 * 10**-4 * $temp**3) |
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189
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- (1.398845 * 10**-6 * $temp**4) |
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190
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+ (2.787860 * 10**-9 * $temp**5); |
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191
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192
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3
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100
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7
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if ( $self->{units} eq 'US' ) |
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193
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{ |
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194
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1
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3
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$ss = $ss * $self->{conv}->{'m2ft'}; |
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195
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} |
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196
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197
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3
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12
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return $ss; |
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198
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} |
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199
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200
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# Sound Speed as function of T |
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201
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# Belogol'skii, Sekoyan, Samorukova, Stefanov and Levtsov (1999), Pressure dependence of the sound velocity in distilled water, Measurement Techniques, Vol 42, No 4, pp 406-413. |
|
202
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sub sound_speed_tp |
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203
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{ |
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204
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1
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1
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0
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2
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my $self = shift; |
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205
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1
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568
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my $temp = shift; |
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206
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1
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4
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my $pres = shift; |
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207
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208
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1
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50
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7
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if ( $self->{units} eq 'US' ) |
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209
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{ |
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210
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0
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0
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$temp = $self->{conv}->{f2c} * ( $temp - 32 ); |
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211
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0
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0
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$pres = $self->{conv}->{psi2mpa} * $pres; |
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212
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} |
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213
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214
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1
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2
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my @a; |
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215
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1
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4
|
$a[0][0] = 1402.38744; |
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216
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1
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2
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$a[1][0] = 5.03836171; |
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217
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1
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4
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$a[2][0] = -5.81172916 * 10**-2; |
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218
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1
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2
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$a[3][0] = 3.34638117 * 10**-4; |
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219
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1
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3
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$a[4][0] = -1.48259672 * 10**-6; |
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220
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1
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2
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$a[5][0] = 3.16585020 * 10**-9; |
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221
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1
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3
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$a[0][1] = 1.49043589; |
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222
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1
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2
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$a[1][1] = 1.077850609 * 10**-2; |
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223
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1
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1
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$a[2][1] = -2.232794656 * 10**-4; |
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224
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1
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2
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$a[3][1] = 2.718246452 * 10**-6; |
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225
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1
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1
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$a[0][2] = 4.31532833 * 10**-3; |
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226
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1
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2
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$a[1][2] = -2.938590293 * 10**-4; |
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227
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1
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2
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$a[2][2] = 6.822485943 * 10**-6; |
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228
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1
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1
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$a[3][2] = -6.674551162 * 10**-8; |
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229
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1
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2
|
$a[0][3] = -1.852993525 * 10**-5; |
|
230
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1
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2
|
$a[1][3] = 1.481844713 * 10**-6; |
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231
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1
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1
|
$a[2][3] = -3.940994021 * 10**-8; |
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232
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1
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2
|
$a[3][3] = 3.939902307 * 10**-10; |
|
233
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|
234
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1
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|
7
|
my $c0 = $a[0][0] + $a[1][0]*$temp + $a[2][0]*$temp**2 + $a[3][0]*$temp**3 + $a[4][0]*$temp**4 + $a[5][0]*$temp**5; |
|
235
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|
236
|
1
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1
|
my @M; |
|
237
|
1
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|
4
|
$M[1] = $a[0][1] + $a[1][1]*$temp + $a[2][1]*$temp**2 + $a[3][1]*$temp**3; |
|
238
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1
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|
4
|
$M[2] = $a[0][2] + $a[1][2]*$temp + $a[2][2]*$temp**2 + $a[3][2]*$temp**3; |
|
239
|
1
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|
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|
17
|
$M[3] = $a[0][3] + $a[1][3]*$temp + $a[2][3]*$temp**2 + $a[3][3]*$temp**3; |
|
240
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1
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|
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|
7
|
my $ss = $c0 + $M[1] * ($pres - $self->{stdpres}) + $M[2] * ($pres - $self->{stdpres})**2 + $M[3] * ($pres - $self->{stdpres})**3; |
|
241
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242
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1
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50
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|
4
|
if ( $self->{units} eq 'US' ) |
|
243
|
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|
|
{ |
|
244
|
0
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|
|
0
|
$ss = $ss * $self->{conv}->{'m2ft'}; |
|
245
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|
|
} |
|
246
|
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|
247
|
1
|
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|
6
|
return $ss; |
|
248
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|
249
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|
|
} |
|
250
|
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|
251
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|
|
|
# - - - - - - - - |
|
252
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|
|
sub sound_speed_sea_tps |
|
253
|
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|
|
{ |
|
254
|
2
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|
|
2
|
0
|
573
|
my $self = shift; |
|
255
|
2
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|
|
|
|
3
|
my $tm = shift; |
|
256
|
2
|
|
|
|
|
2
|
my $pr = shift; |
|
257
|
2
|
|
33
|
|
|
5
|
my $sl = shift || $self->{ppm}; |
|
258
|
|
|
|
|
|
|
|
|
259
|
2
|
50
|
|
|
|
6
|
if ( $self->{units} eq 'US' ) |
|
260
|
|
|
|
|
|
|
{ |
|
261
|
0
|
|
|
|
|
0
|
$tm = $self->{conv}->{f2c} * ( $tm - 32 ); |
|
262
|
0
|
|
|
|
|
0
|
$pr = $self->{conv}->{psi2mpa} * $pr; |
|
263
|
|
|
|
|
|
|
} |
|
264
|
|
|
|
|
|
|
|
|
265
|
2
|
|
|
|
|
4
|
$pr = $pr * 10; # Eqn is in bars |
|
266
|
|
|
|
|
|
|
|
|
267
|
2
|
|
|
|
|
15
|
print "====> $pr\n"; |
|
268
|
|
|
|
|
|
|
|
|
269
|
2
|
|
|
|
|
3
|
my $C00=1402.388; |
|
270
|
2
|
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|
|
3
|
my $C01=5.03830; |
|
271
|
2
|
|
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|
|
2
|
my $C02=-5.81090*10**-2; |
|
272
|
2
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|
|
|
|
3
|
my $C03=3.3432*10**-4; |
|
273
|
2
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|
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|
|
2
|
my $C04=-1.47797*10**-6; |
|
274
|
2
|
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|
|
3
|
my $C05=3.1419*10**-9; |
|
275
|
2
|
|
|
|
|
2
|
my $C10=0.153563; |
|
276
|
2
|
|
|
|
|
2
|
my $C11=6.8999*10**-4; |
|
277
|
2
|
|
|
|
|
3
|
my $C12=-8.1829*10**-6; |
|
278
|
2
|
|
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|
|
3
|
my $C13=1.3632*10**-7; |
|
279
|
2
|
|
|
|
|
2
|
my $C14=-6.1260*10**-10; |
|
280
|
2
|
|
|
|
|
3
|
my $C20=3.1260*10**-5; |
|
281
|
2
|
|
|
|
|
3
|
my $C21=-1.7111*10**-6; |
|
282
|
2
|
|
|
|
|
3
|
my $C22=2.5986*10**-8; |
|
283
|
2
|
|
|
|
|
3
|
my $C23=-2.5353*10**-10; |
|
284
|
2
|
|
|
|
|
1
|
my $C24=1.0415*10**-12; |
|
285
|
2
|
|
|
|
|
2
|
my $C30=-9.7729*10**-9; |
|
286
|
2
|
|
|
|
|
3
|
my $C31=3.8513*10**-10; |
|
287
|
2
|
|
|
|
|
2
|
my $C32=-2.3654*10**-12; |
|
288
|
2
|
|
|
|
|
6
|
my $A00=1.389; |
|
289
|
2
|
|
|
|
|
3
|
my $A01=-1.262*10**-2; |
|
290
|
2
|
|
|
|
|
2
|
my $A02=7.166*10**-5; |
|
291
|
2
|
|
|
|
|
1
|
my $A03=2.008*10**-6; |
|
292
|
2
|
|
|
|
|
3
|
my $A04=-3.21*10**-8; |
|
293
|
2
|
|
|
|
|
3
|
my $A10=9.4742*10**-5; |
|
294
|
2
|
|
|
|
|
1
|
my $A11=-1.2583*10**-5; |
|
295
|
2
|
|
|
|
|
2
|
my $A12=-6.4928*10**-8; |
|
296
|
2
|
|
|
|
|
3
|
my $A13=1.0515*10**-8; |
|
297
|
2
|
|
|
|
|
3
|
my $A14=-2.0142*10**-10; |
|
298
|
2
|
|
|
|
|
2
|
my $A20=-3.9064*10**-7; |
|
299
|
2
|
|
|
|
|
2
|
my $A21=9.1061*10**-9; |
|
300
|
2
|
|
|
|
|
2
|
my $A22=-1.6009*10**-10; |
|
301
|
2
|
|
|
|
|
2
|
my $A23=7.994*10**-12; |
|
302
|
2
|
|
|
|
|
3
|
my $A30=1.100*10**-10; |
|
303
|
2
|
|
|
|
|
2
|
my $A31=6.651*10**-12; |
|
304
|
2
|
|
|
|
|
2
|
my $A32=-3.391*10**-13; |
|
305
|
2
|
|
|
|
|
3
|
my $B00=-1.922*10**-2; |
|
306
|
2
|
|
|
|
|
2
|
my $B01=-4.42*10**-5; |
|
307
|
2
|
|
|
|
|
2
|
my $B10=7.3637*10**-5; |
|
308
|
2
|
|
|
|
|
3
|
my $B11=1.7950*10**-7; |
|
309
|
2
|
|
|
|
|
1
|
my $D00=1.727*10**-3; |
|
310
|
2
|
|
|
|
|
3
|
my $D10=-7.9836*10**-6; |
|
311
|
|
|
|
|
|
|
|
|
312
|
2
|
|
|
|
|
25
|
my $Cw = ($C00 + $C01*$tm + $C02*$tm**2 + $C03*$tm**3 + $C04*$tm**4 + $C05*$tm**5) + |
|
313
|
|
|
|
|
|
|
($C10 + $C11*$tm + $C12*$tm**2 + $C13*$tm**3 + $C14*$tm**4)*$pr + |
|
314
|
|
|
|
|
|
|
($C20 +$C21*$tm +$C22*$tm**2 + $C23*$tm**3 + $C24*$tm**4)*$pr**2 + |
|
315
|
|
|
|
|
|
|
($C30 + $C31*$tm + $C32*$tm**2)*$pr**3; |
|
316
|
|
|
|
|
|
|
|
|
317
|
2
|
|
|
|
|
585
|
my $A = ($A00 + $A01*$tm + $A02*$tm**2 +$A03*$tm**3 +$A04*$tm**4 ) + |
|
318
|
|
|
|
|
|
|
($A10 + $A11*$tm + $A12*$tm**2 +$A13*$tm**3 + $A14*$tm**4)*$pr + |
|
319
|
|
|
|
|
|
|
($A20 +$A21*$tm +$A22*$tm**2 +$A23*$tm**3)*$pr**2 + |
|
320
|
|
|
|
|
|
|
($A30 + $A31*$tm + $A32*$tm**2)*$pr**3; |
|
321
|
2
|
|
|
|
|
5
|
my $B = $B00 + $B01*$tm + ($B10 + $B11*$tm)*$pr; |
|
322
|
2
|
|
|
|
|
3
|
my $D = $D00+($D10*$pr); |
|
323
|
|
|
|
|
|
|
|
|
324
|
2
|
|
|
|
|
16
|
my $C = $Cw + $A*$sl + $B*$sl**(3/2) + $D*($sl**2); |
|
325
|
|
|
|
|
|
|
|
|
326
|
2
|
|
|
|
|
9
|
return $C; |
|
327
|
|
|
|
|
|
|
|
|
328
|
|
|
|
|
|
|
} |
|
329
|
|
|
|
|
|
|
|
|
330
|
|
|
|
|
|
|
|
|
331
|
|
|
|
|
|
|
# ------- |
|
332
|
|
|
|
|
|
|
sub d2p_fresh |
|
333
|
|
|
|
|
|
|
{ |
|
334
|
1
|
|
|
1
|
0
|
308
|
my $self = shift; |
|
335
|
1
|
|
|
|
|
2
|
my $depth = shift; |
|
336
|
|
|
|
|
|
|
|
|
337
|
1
|
|
|
|
|
4
|
return d2p($self,$depth,$self->{'density_pure'}); |
|
338
|
|
|
|
|
|
|
} |
|
339
|
|
|
|
|
|
|
|
|
340
|
|
|
|
|
|
|
# ------- |
|
341
|
|
|
|
|
|
|
sub d2p_sea |
|
342
|
|
|
|
|
|
|
{ |
|
343
|
0
|
|
|
0
|
0
|
0
|
my $self = shift; |
|
344
|
0
|
|
|
|
|
0
|
my $depth = shift; |
|
345
|
|
|
|
|
|
|
|
|
346
|
0
|
|
|
|
|
0
|
return d2p($self,$depth,$self->{'density_sea'}); |
|
347
|
|
|
|
|
|
|
} |
|
348
|
|
|
|
|
|
|
|
|
349
|
|
|
|
|
|
|
# Depth to pressure |
|
350
|
|
|
|
|
|
|
sub d2p |
|
351
|
|
|
|
|
|
|
{ |
|
352
|
1
|
|
|
1
|
0
|
1
|
my $self = shift; |
|
353
|
1
|
|
|
|
|
2
|
my $depth = shift; |
|
354
|
1
|
|
33
|
|
|
4
|
my $density = shift || $self->{'density_pure'}; |
|
355
|
|
|
|
|
|
|
|
|
356
|
1
|
50
|
|
|
|
4
|
if ( ref $depth eq 'ARRAY' ) |
|
357
|
|
|
|
|
|
|
{ |
|
358
|
1
|
|
|
|
|
2
|
my @pres; |
|
359
|
1
|
|
|
|
|
2
|
foreach my $d (@$depth) |
|
360
|
|
|
|
|
|
|
{ |
|
361
|
4
|
50
|
|
|
|
10
|
if ( $self->{units} eq 'US' ) { $d = $self->{conv}->{ft2m} * $d } |
|
|
0
|
|
|
|
|
0
|
|
|
362
|
4
|
|
|
|
|
10
|
push @pres, ( $density * 9.807 * $d / 1000000 + $self->{stdpres}); |
|
363
|
|
|
|
|
|
|
} |
|
364
|
|
|
|
|
|
|
|
|
365
|
1
|
|
|
|
|
5
|
return \@pres; |
|
366
|
|
|
|
|
|
|
} |
|
367
|
|
|
|
|
|
|
|
|
368
|
0
|
0
|
|
|
|
|
if ( $depth =~ /\d+/) |
|
369
|
|
|
|
|
|
|
{ |
|
370
|
0
|
0
|
|
|
|
|
if ( $self->{units} eq 'US' ) { $depth = $self->{conv}->{ft2m} * $depth } |
|
|
0
|
|
|
|
|
|
|
|
371
|
0
|
|
|
|
|
|
my $pres = $density * 9.807 * $depth / 1000000 + $self->{stdpres}; |
|
372
|
|
|
|
|
|
|
|
|
373
|
0
|
|
|
|
|
|
return $pres; |
|
374
|
|
|
|
|
|
|
} |
|
375
|
|
|
|
|
|
|
|
|
376
|
0
|
|
|
|
|
|
$self->{'err'} = "Input Not Recognized\n"; |
|
377
|
0
|
|
|
|
|
|
return ''; |
|
378
|
|
|
|
|
|
|
|
|
379
|
|
|
|
|
|
|
} |
|
380
|
|
|
|
|
|
|
|
|
381
|
|
|
|
|
|
|
1; |
|
382
|
|
|
|
|
|
|
__END__ |