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package ICC::Profile::parf; |
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use strict; |
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use Carp; |
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our $VERSION = 0.2; |
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# revised 2018-08-07 |
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# |
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# Copyright © 2004-2019 by William B. Birkett |
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# add development directory |
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use lib 'lib'; |
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# inherit from Shared |
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use parent qw(ICC::Shared); |
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# parameter count by function type |
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our @Np = (4, 5, 5, 3, 4, 4); |
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# create new parf tag object |
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# parameters: ([ref_to_array]) |
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# returns: (ref_to_object) |
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sub new { |
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# get object class |
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my $class = shift(); |
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# create empty parf object |
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my $self = [ |
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{}, # object header |
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[] # parameter array |
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]; |
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# if parameter supplied |
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if (@_) { |
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# verify array reference |
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(ref($_[0]) eq 'ARRAY') or croak('not an array reference'); |
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# verify function type |
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($_[0][0] == int($_[0][0]) && defined($Np[$_[0][0]])) or croak('invalid function type'); |
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# verify number of parameters |
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($#{$_[0]} == $Np[$_[0][0]]) or croak('wrong number of parameters'); |
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# copy array |
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$self->[1] = [@{shift()}]; |
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} |
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# bless object |
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bless($self, $class); |
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# return object reference |
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return($self); |
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} |
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# create parf tag object from ICC profile |
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# parameters: (ref_to_parent_object, file_handle, ref_to_tag_table_entry) |
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# returns: (ref_to_object) |
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sub new_fh { |
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# get object class |
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my $class = shift(); |
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# create empty parf object |
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my $self = [ |
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{}, # object header |
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[] # parameter array |
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]; |
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# verify 3 parameters |
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(@_ == 3) or croak('wrong number of parameters'); |
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# read parf data from profile |
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_readICCparf($self, @_); |
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# bless object |
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bless($self, $class); |
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# return object reference |
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return($self); |
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} |
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# writes parf tag object to ICC profile |
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# parameters: (ref_to_parent_object, file_handle, ref_to_tag_table_entry) |
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sub write_fh { |
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# verify 4 parameters |
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(@_ == 4) or croak('wrong number of parameters'); |
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# write parf data to profile |
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goto &_writeICCparf; |
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} |
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# get tag size (for writing to profile) |
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# returns: (tag_size) |
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sub size { |
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# get parameters |
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my ($self) = @_; |
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# return size |
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return(12 + 4 * $Np[$self->[1][0]]); |
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} |
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# compute curve function |
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# parameters: (input_value) |
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# returns: (output_value) |
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sub transform { |
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# get parameters |
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my ($self, $in) = @_; |
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# local variables |
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my ($a, $type, $pow); |
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# get parameter array |
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$a = $self->[1]; |
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# get function type |
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$type = $a->[0]; |
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# function type 0 |
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if ($type == 0) { |
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# return value Y = (aX + b)**γ + c |
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return(($a->[2] * $in + $a->[3])**$a->[1] + $a->[4]); |
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# function type 1 |
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} elsif ($type == 1) { |
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# return value Y = a log10(bX**γ + c) + d |
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return($a->[2] * POSIX::log10($a->[3] * $in**$a->[1] + $a->[4]) + $a->[5]); |
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# function type 2 |
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} elsif ($type == 2) { |
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144
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# return value Y = ab**(cX+d) + e |
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return($a->[1] * $a->[2]**($a->[3] * $in + $a->[4]) + $a->[5]); |
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147
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# function type 3 |
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} elsif ($type == 3) { |
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150
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# return value Y = (aX + b)/(cX + 1) |
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return(($a->[1] * $in + $a->[2])/($a->[3] * $in + 1)); |
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153
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# function type 4 |
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} elsif ($type == 4) { |
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156
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# return value Y = (aX + b)/(cX**γ + 1)**(1/γ) |
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return(($a->[2] * $in + $a->[3])/($a->[4] * $in**$a->[1] + 1)**(1/$a->[1])); |
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159
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# function type 5 |
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} elsif ($type == 5) { |
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# compute X**γ |
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$pow = $in**$a->[1]; |
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# return value Y = (aX**γ + b)/(cX**γ + 1) |
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return(($a->[2] * $pow + $a->[3])/($a->[4] * $pow + 1)); |
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168
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} else { |
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# error |
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croak('invalid parametric function type'); |
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173
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} |
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} |
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# compute curve inverse |
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# parameters: (input_value) |
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# returns: (output_value) |
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sub inverse { |
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182
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# get parameters |
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my ($self, $in) = @_; |
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185
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# local variables |
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my ($a, $type); |
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# get parameter array |
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$a = $self->[1]; |
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191
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# get function type |
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$type = $a->[0]; |
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194
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# function type 0 |
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if ($type == 0) { |
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# return value X = ((Y - c)**(1/γ) - b)/a |
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return((($in - $a->[4])**(1/$a->[1]) - $a->[3])/$a->[2]); |
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200
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# function type 1 |
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} elsif ($type == 1) { |
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203
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# return value X = ((10**(Y/a - d/a) - c)/b)**(1/γ) |
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0
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return(((10**($in/$a->[2] - $a->[5]/$a->[2]) - $a->[4])/$a->[3])**(1/$a->[1])); |
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206
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# function type 2 |
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} elsif ($type == 2) { |
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209
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# return value X = (log((Y - e)/a)/log(b) - d)/c |
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0
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return((log(($in - $a->[5])/$a->[1])/log($a->[2]) - $a->[4])/$a->[3]); |
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212
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# function type 3 |
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} elsif ($type == 3) { |
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215
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# return value X = (b - Y)/(cY - a) |
216
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0
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return(($a->[2] - $in)/($a->[3] * $in - $a->[1])); |
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218
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# function type 4 |
219
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} elsif ($type == 4) { |
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|
221
|
|
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|
# error |
222
|
0
|
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|
|
croak('inverse of function type 4 requires numerical solution'); |
223
|
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|
|
|
|
|
224
|
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|
|
# function type 5 |
225
|
|
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|
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|
|
} elsif ($type == 5) { |
226
|
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|
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|
|
|
227
|
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|
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|
|
# return value X = ((b - Y)/(cY - a))**(1/γ) |
228
|
0
|
|
|
|
|
|
return((($a->[3] - $in)/($a->[4] * $in - $a->[2]))**(1/$a->[1])); |
229
|
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|
|
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|
|
230
|
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|
} else { |
231
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|
232
|
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|
# error |
233
|
0
|
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|
|
croak('invalid parametric function type'); |
234
|
|
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|
|
|
|
|
235
|
|
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|
|
} |
236
|
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|
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|
|
237
|
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|
|
} |
238
|
|
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|
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|
|
239
|
|
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|
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|
|
# compute curve derivative |
240
|
|
|
|
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|
|
# parameters: (input_value) |
241
|
|
|
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|
|
# returns: (derivative_value) |
242
|
|
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|
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|
|
sub derivative { |
243
|
|
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|
|
|
244
|
|
|
|
|
|
|
# get parameters |
245
|
0
|
|
|
0
|
0
|
|
my ($self, $in) = @_; |
246
|
|
|
|
|
|
|
|
247
|
|
|
|
|
|
|
# local variables |
248
|
0
|
|
|
|
|
|
my ($a, $type, $den); |
249
|
|
|
|
|
|
|
|
250
|
|
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|
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|
|
# get parameter array |
251
|
0
|
|
|
|
|
|
$a = $self->[1]; |
252
|
|
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|
253
|
|
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|
|
# get function type |
254
|
0
|
|
|
|
|
|
$type = $a->[0]; |
255
|
|
|
|
|
|
|
|
256
|
|
|
|
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|
|
# function type 0 |
257
|
0
|
0
|
|
|
|
|
if ($type == 0) { |
|
|
0
|
|
|
|
|
|
|
|
0
|
|
|
|
|
|
|
|
0
|
|
|
|
|
|
|
|
0
|
|
|
|
|
|
|
|
0
|
|
|
|
|
|
258
|
|
|
|
|
|
|
|
259
|
|
|
|
|
|
|
# return dY/dX = aγ(aX + b)**(γ - 1) |
260
|
0
|
0
|
|
|
|
|
return($a->[1] == 1 ? $a->[2] : $a->[2] * $a->[1] * ($a->[2] * $in + $a->[3])**($a->[1] - 1)); |
261
|
|
|
|
|
|
|
|
262
|
|
|
|
|
|
|
# function type 1 |
263
|
|
|
|
|
|
|
} elsif ($type == 1) { |
264
|
|
|
|
|
|
|
|
265
|
|
|
|
|
|
|
# compute denominator = ln(10) (bX**γ + c) |
266
|
0
|
|
|
|
|
|
$den = ICC::Shared::ln10 * ($a->[3] * $in**$a->[1] + $a->[4]); |
267
|
|
|
|
|
|
|
|
268
|
|
|
|
|
|
|
# return dY/dX = abγX**(γ - 1)/(ln(10) (bX**γ + c)) |
269
|
0
|
0
|
|
|
|
|
return($den == 0 ? 'inf' : $a->[2] * $a->[3] * $a->[1] * $in**($a->[1] - 1)/$den); |
270
|
|
|
|
|
|
|
|
271
|
|
|
|
|
|
|
# function type 2 |
272
|
|
|
|
|
|
|
} elsif ($type == 2) { |
273
|
|
|
|
|
|
|
|
274
|
|
|
|
|
|
|
# return dY/dX = ac ln(b) b**(cX+d) |
275
|
0
|
|
|
|
|
|
return($a->[1] * $a->[3] * log($a->[2]) * $a->[2]**($a->[3] * $in + $a->[4])); |
276
|
|
|
|
|
|
|
|
277
|
|
|
|
|
|
|
# function type 3 |
278
|
|
|
|
|
|
|
} elsif ($type == 3) { |
279
|
|
|
|
|
|
|
|
280
|
|
|
|
|
|
|
# compute denominator = (cX + 1)**2 |
281
|
0
|
|
|
|
|
|
$den = ($a->[3] * $in + 1)**2; |
282
|
|
|
|
|
|
|
|
283
|
|
|
|
|
|
|
# return value Y = (a - bc)/(cX + 1)**2 |
284
|
0
|
0
|
|
|
|
|
return($den == 0 ? 'inf' : ($a->[1] - $a->[2] * $a->[3])/$den); |
285
|
|
|
|
|
|
|
|
286
|
|
|
|
|
|
|
# function type 4 |
287
|
|
|
|
|
|
|
} elsif ($type == 4) { |
288
|
|
|
|
|
|
|
|
289
|
|
|
|
|
|
|
# compute denominator = (cX**γ + 1) |
290
|
0
|
|
|
|
|
|
$den = ($a->[4] * $in**$a->[1] + 1); |
291
|
|
|
|
|
|
|
|
292
|
|
|
|
|
|
|
# return value Y = (a - (aX + b) cX**(γ - 1)/((cX**γ + 1)))/(cX**γ + 1)**(1/γ) |
293
|
0
|
0
|
|
|
|
|
return($den == 0 ? 'inf' : ($a->[2] - ($a->[2] * $in + $a->[3]) * $a->[4] * $in**($a->[1] - 1)/$den)/$den**(1/$a->[1])); |
294
|
|
|
|
|
|
|
|
295
|
|
|
|
|
|
|
# function type 5 |
296
|
|
|
|
|
|
|
} elsif ($type == 5) { |
297
|
|
|
|
|
|
|
|
298
|
|
|
|
|
|
|
# compute denominator = (cX**γ + 1)**2 |
299
|
0
|
|
|
|
|
|
$den = ($a->[4] * $in**$a->[1] + 1)**2; |
300
|
|
|
|
|
|
|
|
301
|
|
|
|
|
|
|
# return value Y = γX**(γ - 1)(a - bc)/(cX**γ + 1)**2 |
302
|
0
|
0
|
|
|
|
|
return($den == 0 ? 'inf' : $a->[1] * $in**($a->[1] - 1) * ($a->[2] - $a->[3] * $a->[4])/$den); |
303
|
|
|
|
|
|
|
|
304
|
|
|
|
|
|
|
} else { |
305
|
|
|
|
|
|
|
|
306
|
|
|
|
|
|
|
# error |
307
|
0
|
|
|
|
|
|
croak('invalid parametric function type'); |
308
|
|
|
|
|
|
|
|
309
|
|
|
|
|
|
|
} |
310
|
|
|
|
|
|
|
|
311
|
|
|
|
|
|
|
} |
312
|
|
|
|
|
|
|
|
313
|
|
|
|
|
|
|
# get/set array reference |
314
|
|
|
|
|
|
|
# parameters: ([ref_to_array]) |
315
|
|
|
|
|
|
|
# returns: (ref_to_array) |
316
|
|
|
|
|
|
|
sub array { |
317
|
|
|
|
|
|
|
|
318
|
|
|
|
|
|
|
# get object reference |
319
|
0
|
|
|
0
|
0
|
|
my $self = shift(); |
320
|
|
|
|
|
|
|
|
321
|
|
|
|
|
|
|
# local variables |
322
|
0
|
|
|
|
|
|
my ($array, $type); |
323
|
|
|
|
|
|
|
|
324
|
|
|
|
|
|
|
# if parameter |
325
|
0
|
0
|
|
|
|
|
if (@_) { |
326
|
|
|
|
|
|
|
|
327
|
|
|
|
|
|
|
# get array reference |
328
|
0
|
|
|
|
|
|
$array = shift(); |
329
|
|
|
|
|
|
|
|
330
|
|
|
|
|
|
|
# verify array reference |
331
|
0
|
0
|
|
|
|
|
(ref($array) eq 'ARRAY') or croak('not an array reference'); |
332
|
|
|
|
|
|
|
|
333
|
|
|
|
|
|
|
# get function type |
334
|
0
|
|
|
|
|
|
$type = $array->[0]; |
335
|
|
|
|
|
|
|
|
336
|
|
|
|
|
|
|
# verify function type (integer, 0 - 5) |
337
|
0
|
0
|
0
|
|
|
|
($type == int($type) && $type >= 0 && $type <= 5) or croak('invalid function type'); |
|
|
|
0
|
|
|
|
|
338
|
|
|
|
|
|
|
|
339
|
|
|
|
|
|
|
# verify number of parameters |
340
|
0
|
0
|
|
|
|
|
($#{$array} == $Np[$type]) or croak('wrong number of parameters'); |
|
0
|
|
|
|
|
|
|
341
|
|
|
|
|
|
|
|
342
|
|
|
|
|
|
|
# set array reference |
343
|
0
|
|
|
|
|
|
$self->[1] = $array; |
344
|
|
|
|
|
|
|
|
345
|
|
|
|
|
|
|
} |
346
|
|
|
|
|
|
|
|
347
|
|
|
|
|
|
|
# return array reference |
348
|
0
|
|
|
|
|
|
return($self->[1]); |
349
|
|
|
|
|
|
|
|
350
|
|
|
|
|
|
|
} |
351
|
|
|
|
|
|
|
|
352
|
|
|
|
|
|
|
# print object contents to string |
353
|
|
|
|
|
|
|
# format is an array structure |
354
|
|
|
|
|
|
|
# parameter: ([format]) |
355
|
|
|
|
|
|
|
# returns: (string) |
356
|
|
|
|
|
|
|
sub sdump { |
357
|
|
|
|
|
|
|
|
358
|
|
|
|
|
|
|
# get parameters |
359
|
0
|
|
|
0
|
1
|
|
my ($self, $p) = @_; |
360
|
|
|
|
|
|
|
|
361
|
|
|
|
|
|
|
# local variables |
362
|
0
|
|
|
|
|
|
my ($s, $fmt, $type); |
363
|
|
|
|
|
|
|
|
364
|
|
|
|
|
|
|
# resolve parameter to an array reference |
365
|
0
|
0
|
|
|
|
|
$p = defined($p) ? ref($p) eq 'ARRAY' ? $p : [$p] : []; |
|
|
0
|
|
|
|
|
|
366
|
|
|
|
|
|
|
|
367
|
|
|
|
|
|
|
# get format string |
368
|
0
|
0
|
0
|
|
|
|
$fmt = defined($p->[0]) && ! ref($p->[0]) ? $p->[0] : 'undef'; |
369
|
|
|
|
|
|
|
|
370
|
|
|
|
|
|
|
# set string to object ID |
371
|
0
|
|
|
|
|
|
$s = sprintf("'%s' object, (0x%x)\n", ref($self), $self); |
372
|
|
|
|
|
|
|
|
373
|
|
|
|
|
|
|
# if object has parameters |
374
|
0
|
0
|
|
|
|
|
if (defined($type = $self->[1][0])) { |
375
|
|
|
|
|
|
|
|
376
|
|
|
|
|
|
|
# if function type 0, 4, 5 |
377
|
0
|
0
|
0
|
|
|
|
if ($type == 0 || $type == 4 || $type == 5) { |
|
|
0
|
0
|
|
|
|
|
|
|
0
|
|
|
|
|
|
|
|
0
|
|
|
|
|
|
378
|
|
|
|
|
|
|
|
379
|
|
|
|
|
|
|
# append parameter string |
380
|
0
|
|
|
|
|
|
$s .= sprintf(" function type %d, gamma %.3f, a %.3f, b %.3f, c %.3f\n", @{$self->[1]}); |
|
0
|
|
|
|
|
|
|
381
|
|
|
|
|
|
|
|
382
|
|
|
|
|
|
|
# if function type 1 |
383
|
|
|
|
|
|
|
} elsif ($type == 1) { |
384
|
|
|
|
|
|
|
|
385
|
|
|
|
|
|
|
# append parameter string |
386
|
0
|
|
|
|
|
|
$s .= sprintf(" function type %d, gamma %.3f, a %.3f, b %.3f, c %.3f, d %.3f\n", @{$self->[1]}); |
|
0
|
|
|
|
|
|
|
387
|
|
|
|
|
|
|
|
388
|
|
|
|
|
|
|
# if function type 2 |
389
|
|
|
|
|
|
|
} elsif ($type == 2) { |
390
|
|
|
|
|
|
|
|
391
|
|
|
|
|
|
|
# append parameter string |
392
|
0
|
|
|
|
|
|
$s .= sprintf(" function type %d, gamma %.3f, a %.3f, b %.3f, c %.3f, d %.3f, e %.3f\n", @{$self->[1]}); |
|
0
|
|
|
|
|
|
|
393
|
|
|
|
|
|
|
|
394
|
|
|
|
|
|
|
# if function type 3 |
395
|
|
|
|
|
|
|
} elsif ($type == 3) { |
396
|
|
|
|
|
|
|
|
397
|
|
|
|
|
|
|
# append parameter string |
398
|
0
|
|
|
|
|
|
$s .= sprintf(" function type %d, a %.3f, b %.3f, c %.3f\n", @{$self->[1]}); |
|
0
|
|
|
|
|
|
|
399
|
|
|
|
|
|
|
|
400
|
|
|
|
|
|
|
} else { |
401
|
|
|
|
|
|
|
|
402
|
|
|
|
|
|
|
# append error string |
403
|
0
|
|
|
|
|
|
$s .= " invalid function type\n"; |
404
|
|
|
|
|
|
|
|
405
|
|
|
|
|
|
|
} |
406
|
|
|
|
|
|
|
|
407
|
|
|
|
|
|
|
} else { |
408
|
|
|
|
|
|
|
|
409
|
|
|
|
|
|
|
# append string |
410
|
0
|
|
|
|
|
|
$s .= " \n"; |
411
|
|
|
|
|
|
|
|
412
|
|
|
|
|
|
|
} |
413
|
|
|
|
|
|
|
|
414
|
|
|
|
|
|
|
# return |
415
|
0
|
|
|
|
|
|
return($s); |
416
|
|
|
|
|
|
|
|
417
|
|
|
|
|
|
|
} |
418
|
|
|
|
|
|
|
|
419
|
|
|
|
|
|
|
# read parf tag from ICC profile |
420
|
|
|
|
|
|
|
# parameters: (ref_to_object, ref_to_parent_object, file_handle, ref_to_tag_table_entry) |
421
|
|
|
|
|
|
|
sub _readICCparf { |
422
|
|
|
|
|
|
|
|
423
|
|
|
|
|
|
|
# get parameters |
424
|
0
|
|
|
0
|
|
|
my ($self, $parent, $fh, $tag) = @_; |
425
|
|
|
|
|
|
|
|
426
|
|
|
|
|
|
|
# local variables |
427
|
0
|
|
|
|
|
|
my ($buf, $fun, $cnt); |
428
|
|
|
|
|
|
|
|
429
|
|
|
|
|
|
|
# save tag signature |
430
|
0
|
|
|
|
|
|
$self->[0]{'signature'} = $tag->[0]; |
431
|
|
|
|
|
|
|
|
432
|
|
|
|
|
|
|
# seek start of tag |
433
|
0
|
|
|
|
|
|
seek($fh, $tag->[1], 0); |
434
|
|
|
|
|
|
|
|
435
|
|
|
|
|
|
|
# read tag type signature and function type |
436
|
0
|
|
|
|
|
|
read($fh, $buf, 12); |
437
|
|
|
|
|
|
|
|
438
|
|
|
|
|
|
|
# unpack function type |
439
|
0
|
|
|
|
|
|
$fun = unpack('x8 n x2', $buf); |
440
|
|
|
|
|
|
|
|
441
|
|
|
|
|
|
|
# get parameter count and verify |
442
|
0
|
0
|
|
|
|
|
defined($cnt = $Np[$fun]) or croak('invalid function type when reading \'parf\' tag'); |
443
|
|
|
|
|
|
|
|
444
|
|
|
|
|
|
|
# read parameter values |
445
|
0
|
|
|
|
|
|
read($fh, $buf, $cnt * 4); |
446
|
|
|
|
|
|
|
|
447
|
|
|
|
|
|
|
# unpack the values |
448
|
0
|
|
|
|
|
|
$self->[1] = [$fun, unpack('f>*', $buf)]; |
449
|
|
|
|
|
|
|
|
450
|
|
|
|
|
|
|
} |
451
|
|
|
|
|
|
|
|
452
|
|
|
|
|
|
|
# write parf tag to ICC profile |
453
|
|
|
|
|
|
|
# parameters: (ref_to_object, ref_to_parent_object, file_handle, ref_to_tag_table_entry) |
454
|
|
|
|
|
|
|
sub _writeICCparf { |
455
|
|
|
|
|
|
|
|
456
|
|
|
|
|
|
|
# get parameters |
457
|
0
|
|
|
0
|
|
|
my ($self, $parent, $fh, $tag) = @_; |
458
|
|
|
|
|
|
|
|
459
|
|
|
|
|
|
|
# verify object structure |
460
|
0
|
0
|
0
|
|
|
|
($self->[1][0] == int($self->[1][0]) && $self->[1][0] >= 0 && $self->[1][0] <= 2 && $Np[$self->[1][0]] == $#{$self->[1]}) or croak('invalid function data when writing \'parf\' tag'); |
|
0
|
|
0
|
|
|
|
|
|
|
|
0
|
|
|
|
|
461
|
|
|
|
|
|
|
|
462
|
|
|
|
|
|
|
# seek start of tag |
463
|
0
|
|
|
|
|
|
seek($fh, $tag->[1], 0); |
464
|
|
|
|
|
|
|
|
465
|
|
|
|
|
|
|
# write tag |
466
|
0
|
|
|
|
|
|
print $fh pack('a4 x4 n x2 f>*', 'parf', @{$self->[1]}); |
|
0
|
|
|
|
|
|
|
467
|
|
|
|
|
|
|
|
468
|
|
|
|
|
|
|
} |
469
|
|
|
|
|
|
|
|
470
|
|
|
|
|
|
|
1; |