/usr/share/nip2/start/Math.def is in nip2 7.38.1-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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Menupullright "_Arithmetic" "basic arithmetic for objects" {
Add_item = class
Menuaction "_Add" "add a and b" {
action a b = map_binary add a b;
}
Subtract_item = class
Menuaction "_Subtract" "subtract b from a" {
action a b = map_binary subtract a b;
}
Multiply_item = class
Menuaction "_Multiply" "multiply a by b" {
action a b = map_binary multiply a b;
}
Divide_item = class
Menuaction "_Divide" "divide a by b" {
action a b = map_binary divide a b;
}
Remainder_item = class
Menuaction "_Remainder"
"remainder after integer division of a by b" {
action a b = map_binary remainder a b;
}
sep1 = Menuseparator;
Absolute_value_item = class
Menuaction "A_bsolute Value" "absolute value of x" {
action x = map_unary abs x;
}
Absolute_value_vector_item = class
Menuaction "Absolute Value _Vector"
"like Absolute Value, but treat pixels as vectors" {
action x = map_unary abs_vec x;
}
Sign_item = class
Menuaction "S_ign" "unit vector" {
action x = map_unary sign x;
}
Negate_item = class
Menuaction "_Negate" "multiply by -1" {
action x = map_unary unary_minus x;
}
}
Math_trig_item = class
Menupullright "_Trigonometry" "trigonometry operations (all in degrees)" {
Sin_item = class
Menuaction "_Sine" "calculate sine x" {
action x = map_unary sin x;
}
Cos_item = class
Menuaction "_Cosine" "calculate cosine x" {
action x = map_unary cos x;
}
Tan_item = class
Menuaction "_Tangent" "calculate tangent x" {
action x = map_unary tan x;
}
sep1 = Menuseparator;
Asin_item = class
Menuaction "Arc S_ine" "calculate arc sine x" {
action x = map_unary asin x;
}
Acos_item = class
Menuaction "Arc C_osine" "calculate arc cosine x" {
action x = map_unary acos x;
}
Atan_item = class
Menuaction "Arc T_angent" "calculate arc tangent x" {
action x = map_unary atan x;
}
sep2 = Menuseparator;
Rad_item = class
Menuaction "_Degrees to Radians" "convert degrees to radians" {
action x = map_unary rad x;
}
Deg_item = class
Menuaction "_Radians to Degrees" "convert radians to degrees" {
action x = map_unary deg x;
}
sep3 = Menuseparator;
Angle_range_item = class
Menuaction "Angle i_n Range"
"is angle within t degrees of r, mod 360" {
action t r angle
= clock (max - angle) < 2*r
{
max = clock (t + r);
clock a
= a + 360, a < 0;
= a - 360, a >= 360;
= a;
}
}
}
Math_log_item = class
Menupullright "_Log" "logarithms and anti-logs" {
Exponential_item = class
Menuaction "_Exponential" "calculate e ** x" {
action x = map_unary (power e) x;
}
Log_natural_item = class
Menuaction "Natural _Log" "log base e of x" {
action x = map_unary log x;
}
sep1 = Menuseparator;
Exponential10_item = class
Menuaction "E_xponential base 10" "calculate 10 ** x" {
action x = map_unary (power 10) x;
}
Log10_item = class
Menuaction "L_og Base 10" "log base 10 of x" {
action x = map_unary log10 x;
}
sep2 = Menuseparator;
Raise_to_power_item = class
Menuaction "_Raise to Power" "calculate x ** y" {
action x y = map_binary power x y;
}
}
Math_complex_item = class
Menupullright "_Complex" "operations on complex numbers and images" {
Complex_extract = class
Menupullright "_Extract" "extract fields from complex" {
Real_item = class
Menuaction "_Real"
"extract real part of complex" {
action in = map_unary re in;
}
Imaginary_item = class
Menuaction "_Imaginary"
"extract imaginary part of complex" {
action in = map_unary im in;
}
}
Complex_build_item = class
Menuaction "_Build" "join a and b to make a complex" {
action a b = map_binary comma a b;
}
sep1 = Menuseparator;
Polar_item = class
Menuaction "_Polar"
"convert real and imag to amplitude and phase" {
action a = map_unary polar a;
}
Rectangular_item = class
Menuaction "_Rectagular"
("convert (amplitude, phase) image to rectangular " ++
"coordinates") {
action x = map_unary rectangular x;
}
sep2 = Menuseparator;
Conjugate_item = class
Menuaction "_Conjugate" "invert imaginary part" {
action x = map_unary conj x;
}
}
Math_boolean_item = class
Menupullright "_Boolean" "bitwise boolean operations for integer objects" {
And_item = class
Menuaction "_AND" "bitwise AND of a and b" {
action a b = map_binary bitwise_and a b;
}
Or_item = class
Menuaction "_OR" "bitwise OR of a and b" {
action a b = map_binary bitwise_or a b;
}
Eor_item = class
Menuaction "_XOR" "bitwise exclusive or of a and b" {
action a b = map_binary eor a b;
}
Not_item = class
Menuaction "_NOT" "invert a" {
action a = map_unary not a;
}
sep1 = Menuseparator;
Right_shift_item = class
Menuaction "Shift _Right" "shift a right by b bits" {
action a b = map_binary right_shift a b;
}
Left_shift_item = class
Menuaction "Shift _Left" "shift a left by b bits" {
action a b = map_binary left_shift a b;
}
sep2 = Menuseparator;
If_then_else_item = class
Menuaction "_If Then Else"
"b where a is non-zero, c elsewhere" {
action a b c
= map_trinary ite a b c
{
// can't use if_then_else, we need a true trinary
ite a b c = if a then b else c;
}
}
Bandand_item = Image_band_item.Bandand_item;
Bandor_item = Image_band_item.Bandor_item;
}
Math_relational_item = class
Menupullright "R_elational" "comparison operations" {
Equal_item = class
Menuaction "_Equal to" "test a equal to b" {
action a b = map_binary equal a b;
}
Not_equal_item = class
Menuaction "_Not Equal to" "test a not equal to b" {
action a b = map_binary not_equal a b;
}
sep1 = Menuseparator;
More_item = class
Menuaction "_More Than" "test a strictly greater than b" {
action a b = map_binary more a b;
}
Less_item = class
Menuaction "_Less Than" "test a strictly less than b" {
action a b = map_binary less a b;
}
sep2 = Menuseparator;
More_equal_item = class
Menuaction "M_ore Than or Equal to"
"test a greater than or equal to b" {
action a b = map_binary more_equal a b;
}
Less_equal_item = class
Menuaction "L_ess Than or Equal to"
"test a less than or equal to b" {
action a b = map_binary less_equal a b;
}
}
Math_list_item = class
Menupullright "L_ist" "operations on lists" {
Head_item = class
Menuaction "_Head" "first element in list" {
action x = map_unary hd x;
}
Tail_item = class
Menuaction "_Tail" "list without the first element" {
action x = map_unary tl x;
}
Last_item = class
Menuaction "_Last" "last element in list" {
action x = map_unary last x;
}
Init_item = class
Menuaction "_Init" "list without the last element" {
action x = map_unary init x;
}
sep1 = Menuseparator;
Reverse_item = class
Menuaction "_Reverse" "reverse order of elements in list" {
action x = map_unary reverse x;
}
Sort_item = class
Menuaction "_Sort" "sort list into ascending order" {
action x = map_unary sort x;
}
Make_set_item = class
Menuaction "_Make Set" "remove duplicates from list" {
action x = map_unary mkset equal x;
}
Transpose_list_item = class
Menuaction "Tr_anspose"
"exchange rows and columns in a list of lists" {
action x = map_unary transpose x;
}
Concat_item = class
Menuaction "_Concat"
"flatten a list of lists into a single list" {
action l = map_unary concat l;
}
sep2 = Menuseparator;
Length_item = class
Menuaction "L_ength" "find the length of list" {
action x = map_unary len x;
}
Subscript_item = class
Menuaction "S_ubscript"
"return element n from list (index from zero)" {
action n x = map_binary subscript n x;
}
Take_item = class
Menuaction "_Take" "take the first n elements of list x" {
action n x = map_binary take n x;
}
Drop_item = class
Menuaction "_Drop" "drop the first n elements of list x" {
action n x = map_binary drop n x;
}
sep3 = Menuseparator;
Join_item = class
Menuaction "_Join" "join two lists end to end" {
action a b = map_binary join a b;
}
Difference_item = class
Menuaction "_Difference" "difference of two lists" {
action a b = map_binary difference a b;
}
Cons_item = class
Menuaction "C_ons" "put element a on the front of list x" {
action a x = map_binary cons a x;
}
Zip_item = class
Menuaction "_Zip" "join two lists, pairwise" {
action a b = map_binary zip2 a b;
}
}
Math_round_item = class
Menupullright "_Round" "various rounding operations" {
/* smallest integral value not less than x
*/
Ceil_item = class
Menuaction "_Ceil" "smallest integral value not less than x" {
action x = map_unary ceil x;
}
Floor_item = class
Menuaction "_Floor"
"largest integral value not greater than x" {
action x = map_unary floor x;
}
Rint_item = class
Menuaction "_Round to Nearest" "round to nearest integer" {
action x = map_unary rint x;
}
}
Math_fourier_item = class
Menupullright "_Fourier" "Fourier transform" {
Forward_item = class
Menuaction "_Forward" "fourier transform of image" {
action a = map_unary (rotquad @ fwfft) a;
}
Reverse_item = class
Menuaction "_Reverse" "inverse fourier transform of image" {
action a = map_unary (invfft @ rotquad) a;
}
Rotate_quadrants_item = class
Menuaction "Rotate _Quadrants" "rotate quadrants" {
action a = map_unary rotquad a;
}
}
Math_stats_item = class
Menupullright "_Statistics" "measure various statistics of objects" {
Value_item = class
Menuaction "_Value" "value of point in object" {
action a = class _result {
_vislevel = 3;
position = Expression "Coordinate" (0, 0);
_result = map_binary point position.expr a;
}
}
Mean_item = class
Menuaction "_Mean" "arithmetic mean value" {
action a = map_unary mean a;
}
Gmean_item = class
Menuaction "_Geometric Mean" "geometric mean value" {
action a = map_unary meang a;
}
Zmean_item = class
Menuaction "_Zero-excluding Mean" "mean value of non-zero elements" {
action a = map_unary meanze a;
}
Deviation_item = class
Menuaction "_Standard Deviation" "standard deviation of object" {
action a = map_unary deviation a;
}
Zdeviation_item = class
Menuaction "Z_ero-excluding Standard Deviation"
"standard deviation of non-zero elements" {
action a = map_unary deviationze a;
}
Skew_item = class
Menuaction "S_kew" "skew of image or list or vector" {
action a = map_unary skew a;
}
Kurtosis_item = class
Menuaction "Kurtosis" "kurtosis of image or list or vector" {
action a = map_unary kurtosis a;
}
Stats_item = class
Menuaction "Ma_ny Stats" "calculate many stats in a single pass" {
action a = map_unary stats a;
}
sep1 = Menuseparator;
Max_item = class
Menuaction "M_aximum" "maximum of object" {
action a = map_unary max a;
}
Min_item = class
Menuaction "M_inimum" "minimum of object" {
action a = map_unary min a;
}
Maxpos_item = class
Menuaction "_Position of Maximum" "position of maximum in object" {
action a = map_unary maxpos a;
}
Minpos_item = class
Menuaction "P_osition of Minimum" "position of minimum in object" {
action a = map_unary minpos a;
}
Gravity_item = class
Menuaction "Centre of _Gravity"
"position of centre of gravity of histogram" {
action a = map_unary gravity a;
}
sep2 = Menuseparator;
Count_set_item = class
Menuaction "_Non-zeros" "number of non-zero elements in object" {
action a
= map_unary cset a
{
cset i = (mean (i != 0) * i.width * i.height) / 255;
}
}
Count_clear_item = class
Menuaction "_Zeros" "number of zero elements in object" {
action a
= map_unary cclear a
{
cclear i = (mean (i == 0) * i.width * i.height) / 255;
}
}
Count_edges_item = class
Menuaction "_Edges"
"count average edges across or down image" {
action x = class
_result {
_vislevel = 3;
edge = Option "Count" [
"Horizontal lines",
"Vertical lines"
] 0;
_result
= map_unary process x
{
process image = Number (edge.labels?edge)
(im_cntlines image.value edge.value);
}
}
}
sep3 = Menuseparator;
Linear_regression_item = class
Menuaction "_Linear Regression" "fit a line to a set of points" {
action xes yes = linreg xes yes;
}
Weighted_linear_regression_item = class
Menuaction "_Weighted Linear Regression"
"fit a line to a set of points and deviations" {
action xes yes devs = linregw xes yes devs;
}
Cluster_item = class
Menuaction "_Cluster" "cluster a list of numbers" {
action l = class {
_vislevel = 3;
thresh = Expression "Threshold" 10;
[_r, _w] = cluster thresh.expr l;
result = _r;
weights = _w;
}
}
}
Math_base_item = class
Menupullright "Bas_e" "convert number bases" {
Hexadecimal_item = class
Menuaction "_Hexadecimal" "convert to hexadecimal (base 16)" {
action a = map_unary (print_base 16) a;
}
Binary_item = class
Menuaction "_Binary" "convert to binary (base 2)" {
action a = map_unary (print_base 2) a;
}
Octal_item = class
Menuaction "_Octal" "convert to octal (base 8)" {
action a = map_unary (print_base 8) a;
}
}
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