#N canvas 23 29 924 644 10;
#X obj 637 350 +~;
#X obj 641 499 trigger;
#X text 25 8 ARITHMETIC;
#X text 30 29 Pd's arithmetic objects include:;
#X obj 231 30 +;
#X obj 256 30 -;
#X obj 282 30 *;
#X obj 308 30 /;
#X obj 334 30 pow;
#X obj 359 30 max;
#X obj 385 30 min;
#X obj 32 276 +;
#X floatatom 32 205 0 0 0 0 - - -;
#X floatatom 32 297 0 0 0 0 - - -;
#X floatatom 45 228 0 0 0 0 - - -;
#X msg 63 254 bang;
#X text 98 255 Bang outputs sum;
#X text 70 204 Numbers in left inlet add and output sum;
#X text 87 227 Numbers in right inlet only change the inlet's value
;
#X text 29 171 The example below performs basic addition with two numbers:
i.e. a + b = c;
#X text 28 54 All of these objects operate the same way. The right
inlet sets or changes the numeric value of the object. Sending a number
to the left inlet forces the object to perform the operation with the
current numeric value of the object and output the result. A "bang"
will output the result without changing the numeric values at either
inlet. A creation argument can be used to define the initial numeric
value of the right inlet.;
#X text 29 325 The example below incorporates a creation argument:
i.e. a + 42 = b;
#X floatatom 29 357 0 0 0 0 - - -;
#X floatatom 29 400 0 0 0 0 - - -;
#X obj 29 379 + 42;
#N canvas 38 134 637 241 basic_examples 0;
#X obj 44 129 +;
#X obj 113 129 -;
#X obj 179 129 *;
#X obj 244 129 /;
#X obj 316 129 pow;
#X obj 394 129 max;
#X obj 482 129 min;
#X floatatom 44 32 5 0 0 0 - - -;
#X floatatom 44 150 0 0 0 0 - - -;
#X floatatom 113 149 0 0 0 0 - - -;
#X floatatom 179 149 0 0 0 0 - - -;
#X floatatom 244 149 0 0 0 0 - - -;
#X floatatom 316 149 0 0 0 0 - - -;
#X floatatom 394 150 0 0 0 0 - - -;
#X floatatom 482 149 0 0 0 0 - - -;
#X floatatom 495 32 5 0 0 0 - - -;
#X msg 360 32 bang;
#X connect 0 0 8 0;
#X connect 1 0 9 0;
#X connect 2 0 10 0;
#X connect 3 0 11 0;
#X connect 4 0 12 0;
#X connect 5 0 13 0;
#X connect 6 0 14 0;
#X connect 7 0 0 0;
#X connect 7 0 1 0;
#X connect 7 0 2 0;
#X connect 7 0 3 0;
#X connect 7 0 4 0;
#X connect 7 0 5 0;
#X connect 7 0 6 0;
#X connect 15 0 6 1;
#X connect 15 0 5 1;
#X connect 15 0 4 1;
#X connect 15 0 3 1;
#X connect 15 0 2 1;
#X connect 15 0 1 1;
#X connect 15 0 0 1;
#X connect 16 0 0 0;
#X connect 16 0 1 0;
#X connect 16 0 2 0;
#X connect 16 0 3 0;
#X connect 16 0 4 0;
#X connect 16 0 5 0;
#X connect 16 0 6 0;
#X restore 28 542 pd basic_examples;
#X text 29 425 + - * / are probably self-explanatory...if you are using
PD \, then it is safe to say that you have passed third grade.;
#X text 27 463 However \, [pow] \, [max] \, and [min] objects may need
some explanation.;
#N canvas 0 22 452 302 understanding_POW 0;
#X text 12 25 [POW];
#X obj 17 66 pow 2;
#X floatatom 17 86 2 0 0 0 - - -;
#X msg 17 46 2;
#X text 61 115 - it is important to note that [pow] only works with
NON-negative mantissas. That is to say that negative floating point
fractions will be ignored.;
#X obj 18 153 pow 2;
#X floatatom 18 173 2 0 0 0 - - -;
#X msg 13 111 -2;
#X msg 24 132 -1.5;
#X text 65 202 - however \, [pow] is capable of computing negative
exponents!;
#X floatatom 19 201 0 0 0 0 - - -;
#X obj 19 221 pow -2;
#X floatatom 19 242 0 0 0 0 - - -;
#X text 57 39 - this object is used to exponentiate a number. The object
returns the value at the left inlet to the power of the right inlet
where the left inlet is the base and the right inlet is the exponent.
For example: 2 to the power of 2 = 4 (i.e. 2 Squared);
#X connect 1 0 2 0;
#X connect 3 0 1 0;
#X connect 5 0 6 0;
#X connect 7 0 5 0;
#X connect 8 0 5 0;
#X connect 10 0 11 0;
#X connect 11 0 12 0;
#X restore 28 497 pd understanding_POW;
#N canvas 0 22 474 341 understanding_MAX_and_MIN 0;
#X text 34 9 [MAX];
#X obj 32 51 max 10;
#X floatatom 32 29 5 0 0 0 - - -;
#X floatatom 32 76 5 0 0 0 - - -;
#X text 87 26 - [max] returns the greater of the two numbers passed
to its inlets. For example \, if the creation argument (or right inlet)
is equal to 10 \, and you send 9 to the left inlet then the object
will return 10 If you pass it an 11 \, then object returns 11;
#X floatatom 33 116 5 0 0 0 - - -;
#X floatatom 33 163 5 0 0 0 - - -;
#X text 35 96 [MIN];
#X text 88 113 - [min] returns the lesser of the two numbers passed
to its inlets. For example \, if the creation argument (or right inlet)
is equal to 10 \, and you send 9 to the left inlet then the object
will return 9 If you pass it an 11 \, then object returns 10;
#X obj 33 138 min 10;
#X text 32 185 - It is important to note that [max] and [min] output
a number with every number or "bang" that is sent to the left inlet.
;
#X floatatom 35 234 5 0 0 0 - - -;
#X floatatom 35 282 5 0 0 0 - - -;
#X obj 35 256 min 10;
#X obj 76 281 bng 15 50 10 0 empty empty empty 0 -6 0 8 -262144 -1
-1;
#X text 80 232 Move this number box above 10;
#X connect 1 0 3 0;
#X connect 2 0 1 0;
#X connect 5 0 9 0;
#X connect 9 0 6 0;
#X connect 11 0 13 0;
#X connect 13 0 12 0;
#X connect 13 0 14 0;
#X restore 28 519 pd understanding_MAX_and_MIN;
#X obj 430 568 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
-1;
#X obj 430 12 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
-1;
#X text 469 20 THE SUM OF MANY NUMBERS;
#X text 473 40 Pd has wonderful object called [expr] which allows you
to write mathematical expressions. I would suggest that you investigate
the [expr] object to process basic mathematical equations with more
than 2 separate values.;
#X msg 481 151 bang;
#X obj 481 203 random 10;
#X obj 543 203 random 10;
#X obj 605 203 random 10;
#X text 509 222 a;
#X text 571 223 b;
#X text 632 222 c;
#X text 512 288 d;
#X floatatom 481 288 0 0 0 0 - - -;
#X obj 481 172 t b b b;
#X obj 481 245 +;
#X obj 481 266 +;
#X floatatom 481 223 0 0 0 0 - - -;
#X floatatom 543 223 0 0 0 0 - - -;
#X floatatom 605 223 0 0 0 0 - - -;
#X text 474 102 Having said that \, it IS possible to build equations
with multiple elements using these basic math objects \, as in the
example below: (i.e. a + b + c = d);
#X text 469 324 RELATED OBJECTS;
#X obj 666 350 -~;
#X obj 695 350 *~;
#X obj 723 350 /~;
#X obj 751 350 max~;
#X obj 781 350 min~;
#X text 540 350 Audio Math;
#X obj 637 374 ==;
#X obj 695 374 >;
#X obj 751 374 <;
#X obj 723 374 >=;
#X obj 781 373 <=;
#X obj 667 374 !=;
#X text 504 375 Relational Tests;
#X text 498 398 Logical Operators;
#X obj 638 398 &;
#X obj 667 398 |;
#X obj 695 398 &&;
#X obj 723 398 ||;
#X obj 751 398 <<;
#X obj 781 398 >>;
#X obj 695 499 expr;
#X obj 637 422 mtof;
#X obj 668 422 ftom;
#X obj 699 422 powtodb;
#X obj 749 422 rmstodb;
#X obj 799 422 dbtopow;
#X obj 849 422 dbtorms;
#X text 445 423 Acoustical Unit Conversion;
#X text 537 450 Higher Math;
#X obj 808 374 mod;
#X obj 835 374 div;
#X obj 641 449 sin;
#X obj 667 449 cos;
#X obj 694 449 tan;
#X obj 721 449 atan;
#X obj 640 473 atan2;
#X obj 731 499 random;
#X obj 678 473 sqrt;
#X obj 709 473 log;
#X obj 735 473 exp;
#X obj 761 473 abs;
#X text 570 499 Other;
#N canvas 181 122 454 304 related_objects_from_other_libraries 0;
#X obj 37 25 vector+;
#X obj 37 45 vector-;
#X obj 37 65 vector*;
#X obj 85 25 vector/;
#X obj 85 45 rgb2hsv;
#X obj 85 65 hsv2rgb;
#X obj 133 25 abs~;
#X obj 133 45 db2v;
#X obj 133 65 v2db;
#X obj 163 25 avg~;
#X obj 164 45 tavg~;
#X obj 164 65 pdf~;
#X obj 201 24 <~;
#X obj 201 45 ==~;
#X obj 201 67 >~;
#X obj 228 25 &&~;
#X obj 228 46 ||~;
#X obj 228 67 matrix~;
#X obj 280 25 mavg;
#X obj 280 46 mean;
#X obj 280 68 divide;
#X obj 323 27 divmod;
#X obj 324 47 minus;
#X obj 324 67 plus;
#X text 29 104 These objects are offered in Pd only if you have downloaded
and properly installed the appropriate library. These objects may or
may not exist in a single library.;
#X text 28 153 The best places to find information about Pd's libraries
is:;
#X text 25 175 www.puredata.org and click on "Downloads" then "Software"
;
#X text 27 190 or;
#X text 27 205 iem.kug.ac.at/pdb/;
#X obj 370 27 q8_rsqrt~;
#X obj 370 51 q8_sqrt~;
#X restore 520 537 pd related_objects_from_other_libraries;
#X obj 778 499 f;
#X obj 806 499 int;
#X obj 809 398 %;
#X obj 251 539 timer;
#X text 292 584 This document was updated for Pd version 0.35 test
28 by Dave Sabine as part of a project called pddp proposed by Krzysztof
Czaja to build comprehensive documentation for Pd.;
#X obj 754 449 pow;
#X connect 11 0 13 0;
#X connect 12 0 11 0;
#X connect 14 0 11 1;
#X connect 15 0 11 0;
#X connect 22 0 24 0;
#X connect 24 0 23 0;
#X connect 31 0 30 0;
#X connect 34 0 43 0;
#X connect 35 0 46 0;
#X connect 36 0 47 0;
#X connect 37 0 48 0;
#X connect 43 0 35 0;
#X connect 43 1 36 0;
#X connect 43 2 37 0;
#X connect 44 0 45 0;
#X connect 45 0 42 0;
#X connect 46 0 44 0;
#X connect 47 0 44 1;
#X connect 48 0 45 1;
