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#X text 10 30 op name;
#X text 96 30 description;
#X text 446 30 effect on pixels;
#X text 676 30 effect on coords;
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#X msg 10 70 op ignore;
#X text 96 70 A;
#X text 446 70 no effect;
#X text 676 70 no effect;
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#X msg 10 89 op put;
#X text 96 89 B;
#X text 446 89 replace by;
#X text 676 89 replace by;
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#X msg 10 108 op +;
#X text 96 108 A + B;
#X text 446 108 brightness \, crossfade;
#X text 676 108 move \, morph;
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#X msg 10 127 op -;
#X text 96 127 A - B;
#X text 446 127 brightness \, motion detection;
#X text 676 127 move \, motion detection;
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#X msg 10 146 op inv+;
#X text 96 146 B - A;
#X text 446 146 negate then contrast;
#X text 676 146 180 degree rotate then move;
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#X msg 10 165 op *;
#X text 96 165 A * B;
#X text 446 165 contrast;
#X text 676 165 zoom out;
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#X msg 10 184 op *>>8;
#X text 446 184 contrast;
#X text 676 184 zoom out;
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#X msg 10 203 op /;
#X text 96 203 A / B \, rounded towards zero;
#X text 446 203 contrast;
#X text 676 203 zoom in;
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#X msg 10 222 op div;
#X text 96 222 A / B \, rounded downwards;
#X text 446 222 contrast;
#X text 676 222 zoom in;
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#X text 96 241 B / A \, rounded towards zero;
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#X text 96 260 B / A \, rounded downwards;
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#X msg 10 279 op %;
#X text 96 279 A % B \, modulo (goes with div);
#X text 446 279 --;
#X text 676 279 tile;
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#X text 96 298 B % A \, modulo (goes with div);
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#X text 96 317 A % B \, remainder (goes with /);
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#X text 96 336 B % A \, remainder (goes with /);
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#X msg 10 355 op gcd;
#X text 96 355 greatest common divisor;
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#X text 96 374 least common multiple;
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#X msg 10 393 op |;
#X text 96 393 A or B \, bitwise;
#X text 446 393 bright munchies;
#X text 676 393 bottomright munchies;
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#X msg 10 412 op ^;
#X text 96 412 A xor B \, bitwise;
#X text 446 412 symmetric munchies (fractal checkers);
#X text 676 412 symmetric munchies (fractal checkers);
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#X msg 10 431 op &;
#X text 96 431 A and B \, bitwise;
#X text 446 431 dark munchies;
#X text 676 431 topleft munchies;
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#X msg 10 450 op <<;
#X text 96 450 A * pow(2 \, mod(B \, 32)) \, which is left-shifting
;
#X text 446 450 like *;
#X text 676 450 like *;
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#X msg 10 469 op >>;
#X text 96 469 A / pow(2 \, mod(B \, 32)) \, which is right-shifting
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#X text 446 469 like / \, div;
#X text 676 469 like / \, div;
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#X text 96 488 if A is zero then B else A;
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#X text 96 507 if A is zero then zero else B;
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#X msg 10 526 op min;
#X text 96 526 the lowest value in A \, B;
#X text 446 526 clipping;
#X text 676 526 clipping (of individual points);
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#X msg 10 545 op max;
#X text 96 545 the highest value in A \, B;
#X text 446 545 clipping;
#X text 676 545 clipping (of individual points);
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#X text 96 564 -1 when A<B \, 0 when A=B \, 1 when A>B;
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#X msg 10 583 op ==;
#X text 96 583 is A equal to B ? 1=true \, 0=false;
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#X text 96 602 is A not equal to B ?;
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#X text 96 621 is A greater than B ?;
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#X text 96 640 is A not greater than B ?;
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#X text 96 659 is A less than B ?;
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#X text 96 678 is A not less than B ?;
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#X msg 10 697 op sin*;
#X text 96 697 B * sin(A) in centidegrees;
#X text 446 697 --;
#X text 676 697 waves \, rotations;
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#X msg 10 716 op cos*;
#X text 96 716 B * cos(A) in centidegrees;
#X text 446 716 --;
#X text 676 716 waves \, rotations;
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#X text 446 735 --;
#X text 676 735 find angle to origin \; (part of polar transform);
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#X msg 10 763 op tanh*;
#X text 96 763 B * tanh(A) in centidegrees;
#X text 446 763 smooth clipping;
#X text 676 763 smooth clipping (of individual points) \; neural sigmoid
\, fuzzy logic;
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#X msg 10 791 op log*;
#X text 96 791 B * log(A) in base e;
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#X text 96 810 exp(A / B) in base e;
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#X msg 10 829 op gamma;
#X text 96 829 floor(pow(a/256.0 \, 256.0/b)*256.0);
#X text 446 829 gamma correction;
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#X text 96 848 A**B \, that is \, A raised to power B;
#X text 446 848 gamma correction;
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#X msg 10 867 op abs-;
#X text 96 867 absolute value of (A-B);
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#X text 96 886 (A-B) times (A-B);
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#X msg 10 905 op avg;
#X text 96 905 (A+B)/2;
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#X msg 10 924 op hypot;
#X text 96 924 distance function: square root of (A*A+B*B);
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#X msg 10 943 op clip+;
#X text 96 943 like A+B but overflow causes clipping instead of wrapping
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#X text 96 971 like A-B but overflow causes clipping instead of wrapping
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#X msg 10 999 op erf*;
#X text 96 999 integral of e^(-x*x) dx ... (coming soon \; what ought
to be the scaling factor?);
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#X msg 10 1027 op weight;
#X text 96 1027 number of "1" bits in an integer;
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#X msg 10 1046 op atan2;
#X text 96 1044 atan2(A \, B) in radians \, float only;
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#X text 96 1138 A*B;
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#X text 96 1157 A*conj(B);
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#X text 96 1176 A/B;
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#X text 96 1195 A/conj(B);
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#X text 96 1214 (A-B)*(A-B);
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#X text 96 1233 abs(A-B);
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#X msg 10 1287 op p2c;
#X obj 10 1366 outlet;
#X text 10 1386 note: a centidegree is 0.01 degree. There are 36000
centidegrees in a circle. Some angle operators use centidegrees \,
while some others use radians. To convert degrees into centidegrees
\, multiply by 100 . To convert degrees into radians \, divide by 57.2957
. Thus \, to convert centidegrees into radians \, divide by 5729.57
. All the complex number operators are only for floats. VecOps are
called VecOps because each operation happens between more than just
two numbers. Complex VecOps are those that arise when a pair of numbers
(A0 A1) is considered as a single number A0+A1*sqrt(-1). If you need
complex numbers but don't know yet how they work \, learn them using
a math tutorial and then those VecOps will begin to look familiar.
;
#X text 96 1268 subtraction followed by hypot \, atan two-in-one;
#X text 96 1287 cos* \, sin* two-in-one \, followed by addition;
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#X msg 10 1065 op ldexp;
#X text 98 1064 A*pow(2 \, B) \, float only;
#X text 96 184 (A * B) >> 8 \, that is \, (A * B) / 256;
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#X text 10 52 numops;
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#X msg 10 735 op atan2cd;
#X text 96 735 arctan(A/B) in centidegrees (formerly named "atan")
;
#X obj 0 1569 doc_f;
#X text 10 1250 vecops for other things in 2-D space;
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#X text 96 1323 subtraction followed by hypot \, atan two-in-one;
#X msg 10 1323 op cross;
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#X text 10 1304 vecops for 3-D space;
#X text 10 1120 vecops for complex numbers (a kind of 2-D space);
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