#N canvas 0 0 555 619 10;
#X obj 0 0 cnv 15 552 40 empty \$0-pddp.cnv.header expr 3 12 0 18 -204280
-1 0;
#X obj 0 118 cnv 3 550 3 empty \$0-pddp.cnv.inlets inlets 8 12 0 13
-228856 -1 0;
#X obj 0 418 cnv 3 550 3 empty \$0-pddp.cnv.outlets outlets 8 12 0
13 -228856 -1 0;
#X obj 0 449 cnv 3 550 3 empty \$0-pddp.cnv.argument arguments 8 12
0 13 -228856 -1 0;
#X obj 0 537 cnv 3 550 3 empty \$0-pddp.cnv.more_info more_info 8 12
0 13 -228856 -1 0;
#X obj 78 127 cnv 17 3 153 empty \$0-pddp.cnv.let.0 0 5 9 0 16 -228856
-162280 0;
#X text 98 126 float;
#X text 98 426 float;
#X obj 78 426 cnv 17 3 17 empty \$0-pddp.cnv.let.n n 5 9 0 16 -228856
-162280 0;
#X obj 78 286 cnv 17 3 123 empty \$0-pddp.cnv.let.n n 5 9 0 16 -228856
-162280 0;
#X text 98 285 float;
#X obj 489 4 expr;
#X obj 465 21 pddp/pddplink http://wiki.puredata.info/en/expr -text
pdpedia: expr;
#X floatatom 87 50 0 0 0 0 - - -;
#X floatatom 21 96 0 0 0 0 - - -;
#X msg 21 50 bang;
#X floatatom 87 96 0 0 0 0 - - -;
#X floatatom 432 48 0 0 0 0 - - -;
#X floatatom 432 95 0 0 0 0 - - -;
#X obj 432 73 expr $f1 * $f2;
#X floatatom 513 48 0 0 0 0 - - -;
#X floatatom 185 49 0 0 0 0 - - -;
#X floatatom 185 96 0 0 0 0 - - -;
#X obj 185 74 expr sin(2 * 3.14159 * $f1 / 360);
#X text 98 205 symbol;
#X text 98 398 symbol;
#X text 98 242 bang;
#X obj 87 74 expr 2 + $f1;
#N canvas 96 45 428 436 expr_and_symbols 0;
#X floatatom 24 177 0 0 0 0 - - -;
#X floatatom 24 232 0 0 0 0 - - -;
#N canvas 0 0 450 300 (subpatch) 0;
#X array \$0-expr-array 515 float 3;
#A 0 -0.0122715 0 0.0122715 0.0245412 0.0368072 0.0490676 0.0613207
0.0735645 0.0857972 0.0980171 0.110222 0.122411 0.134581 0.14673 0.158858
0.170962 0.18304 0.19509 0.207111 0.219101 0.231058 0.24298 0.254865
0.266713 0.278519 0.290284 0.302006 0.313681 0.32531 0.33689 0.348418
0.359895 0.371317 0.382683 0.393992 0.405241 0.416429 0.427555 0.438616
0.449611 0.460538 0.471396 0.482183 0.492898 0.503538 0.514102 0.524589
0.534997 0.545325 0.55557 0.565731 0.575808 0.585797 0.595699 0.605511
0.615231 0.624859 0.634393 0.643831 0.653172 0.662415 0.671558 0.680601
0.68954 0.698376 0.707106 0.71573 0.724247 0.732654 0.740951 0.749136
0.757208 0.765167 0.77301 0.780737 0.788346 0.795836 0.803207 0.810457
0.817584 0.824589 0.831469 0.838224 0.844853 0.851355 0.857728 0.863972
0.870087 0.87607 0.881921 0.887639 0.893224 0.898674 0.903989 0.909168
0.914209 0.919113 0.923879 0.928506 0.932992 0.937339 0.941544 0.945607
0.949528 0.953306 0.95694 0.96043 0.963776 0.966976 0.970031 0.97294
0.975702 0.978317 0.980785 0.983105 0.985277 0.987301 0.989176 0.990902
0.992479 0.993907 0.995185 0.996312 0.99729 0.998118 0.998795 0.999322
0.999699 0.999925 1 0.999925 0.999699 0.999322 0.998796 0.998118 0.997291
0.996313 0.995185 0.993907 0.99248 0.990903 0.989177 0.987302 0.985278
0.983106 0.980786 0.978318 0.975702 0.97294 0.970032 0.966977 0.963776
0.960431 0.956941 0.953306 0.949529 0.945608 0.941545 0.93734 0.932993
0.928507 0.92388 0.919115 0.91421 0.909169 0.90399 0.898675 0.893225
0.88764 0.881922 0.876071 0.870088 0.863974 0.85773 0.851356 0.844855
0.838226 0.831471 0.82459 0.817586 0.810458 0.803209 0.795838 0.788348
0.780738 0.773012 0.765168 0.75721 0.749138 0.740952 0.732656 0.724248
0.715732 0.707108 0.698378 0.689542 0.680602 0.67156 0.662417 0.653174
0.643833 0.634395 0.624861 0.615233 0.605513 0.595701 0.5858 0.57581
0.565734 0.555572 0.545327 0.534999 0.524592 0.514105 0.50354 0.4929
0.482186 0.471399 0.460541 0.449613 0.438618 0.427557 0.416432 0.405243
0.393994 0.382686 0.371319 0.359897 0.348421 0.336892 0.325313 0.313684
0.302008 0.290287 0.278522 0.266715 0.254868 0.242983 0.231061 0.219104
0.207114 0.195093 0.183042 0.170964 0.158861 0.146733 0.134583 0.122413
0.110225 0.0980197 0.0857999 0.0735671 0.0613233 0.0490703 0.0368098
0.0245439 0.0122742 2.65359e-06 -0.0122689 -0.0245386 -0.0368045 -0.049065
-0.061318 -0.0735619 -0.0857946 -0.0980144 -0.110219 -0.122408 -0.134578
-0.146728 -0.158855 -0.170959 -0.183037 -0.195088 -0.207109 -0.219098
-0.231055 -0.242977 -0.254863 -0.26671 -0.278517 -0.290282 -0.302003
-0.313679 -0.325308 -0.336887 -0.348416 -0.359892 -0.371314 -0.382681
-0.393989 -0.405239 -0.416427 -0.427552 -0.438614 -0.449609 -0.460536
-0.471394 -0.482181 -0.492896 -0.503536 -0.5141 -0.524587 -0.534995
-0.545322 -0.555568 -0.565729 -0.575806 -0.585795 -0.595697 -0.605509
-0.615229 -0.624857 -0.634391 -0.643829 -0.65317 -0.662413 -0.671557
-0.680599 -0.689538 -0.698374 -0.707104 -0.715729 -0.724245 -0.732652
-0.740949 -0.749134 -0.757207 -0.765165 -0.773008 -0.780735 -0.788344
-0.795835 -0.803205 -0.810455 -0.817583 -0.824587 -0.831468 -0.838223
-0.844852 -0.851353 -0.857727 -0.863971 -0.870085 -0.876068 -0.88192
-0.887638 -0.893223 -0.898673 -0.903988 -0.909166 -0.914208 -0.919112
-0.923878 -0.928505 -0.932992 -0.937338 -0.941543 -0.945606 -0.949527
-0.953305 -0.956939 -0.960429 -0.963775 -0.966976 -0.97003 -0.972939
-0.975701 -0.978317 -0.980785 -0.983105 -0.985277 -0.987301 -0.989176
-0.990902 -0.992479 -0.993907 -0.995184 -0.996312 -0.99729 -0.998118
-0.998795 -0.999322 -0.999699 -0.999925 -1 -0.999925 -0.999699 -0.999323
-0.998796 -0.998118 -0.997291 -0.996313 -0.995185 -0.993907 -0.99248
-0.990903 -0.989177 -0.987302 -0.985278 -0.983106 -0.980786 -0.978318
-0.975703 -0.972941 -0.970032 -0.966978 -0.963777 -0.960432 -0.956942
-0.953307 -0.94953 -0.945609 -0.941545 -0.93734 -0.932994 -0.928508
-0.923881 -0.919116 -0.914212 -0.90917 -0.903991 -0.898676 -0.893226
-0.887642 -0.881923 -0.876072 -0.870089 -0.863975 -0.857731 -0.851358
-0.844856 -0.838227 -0.831472 -0.824592 -0.817587 -0.81046 -0.80321
-0.79584 -0.788349 -0.78074 -0.773013 -0.76517 -0.757212 -0.749139
-0.740954 -0.732657 -0.72425 -0.715734 -0.70711 -0.69838 -0.689544
-0.680604 -0.671562 -0.662419 -0.653176 -0.643835 -0.634397 -0.624863
-0.615235 -0.605515 -0.595703 -0.585802 -0.575812 -0.565736 -0.555574
-0.545329 -0.535002 -0.524594 -0.514107 -0.503543 -0.492902 -0.482188
-0.471401 -0.460543 -0.449616 -0.438621 -0.42756 -0.416434 -0.405246
-0.393997 -0.382688 -0.371322 -0.3599 -0.348423 -0.336895 -0.325315
-0.313687 -0.302011 -0.29029 -0.278525 -0.266718 -0.254871 -0.242985
-0.231063 -0.219106 -0.207116 -0.195095 -0.183045 -0.170967 -0.158863
-0.146736 -0.134586 -0.122416 -0.110227 -0.0980223 -0.0858025 -0.0735698
-0.061326 -0.0490729 -0.0368125 -0.0245465 -0.0122768 -5.30718e-06
0.0122662;
#X coords 0 1 515 -1 200 140 1;
#X restore 24 279 graph;
#X obj 240 366 loadbang;
#X msg 240 388 \; expr-array2 sinesum 512 1;
#X obj 99 156 bng 15 250 50 0 empty empty empty 17 7 0 10 -262144 -1
-1;
#X obj 99 176 symbol \$0-expr-array;
#X obj 1 1 cnv 15 425 20 empty \$0-pddp.cnv.subheading empty 3 12 0
14 -204280 -1 0;
#X obj 24 204 expr $s2[$f1];
#X text 21 37 Symbolic arguments like $s1 \, $s2 \, and so on are currently
used in [expr] to get the name of an array or table. You can also type
the name of an array directly into [expr] \, but this is limited since
\, for example \, a dash ("e.g. \, my-table") will get interpreted
as an operator ("e.g. \, my minus table").;
#X text 113 219 of the array will be clipped;
#X text 113 204 index values outside the range;
#X text 20 116 The following syntax outputs the y-value for the element
specified by the left inlet.;
#X text 118 154 click here first;
#X text 8 2 [expr] Using Symbolic Arguments;
#X connect 0 0 8 0;
#X connect 3 0 4 0;
#X connect 5 0 6 0;
#X connect 6 0 8 1;
#X connect 8 0 1 0;
#X restore 169 397 pd expr_and_symbols;
#X obj 21 74 expr 1;
#X text 168 426 - float is the only type of output.;
#X obj 273 577 pddplink http://crca.ucsd.edu/~syadegar/expr.html;
#X text 273 563 Expr family of objects by Shahrokh Yadegari;
#N canvas 91 55 428 501 expr_weirdness 0;
#X obj 42 98 bng 15 250 50 0 empty empty empty 17 7 0 10 -262144 -1
-1;
#X floatatom 42 143 5 0 0 0 - - -;
#X obj 1 1 cnv 15 425 20 empty \$0-pddp.cnv.subheading empty 3 12 0
14 -204280 -1 0;
#X obj 42 119 expr 8 / 6;
#X obj 42 254 bng 15 250 50 0 empty empty empty 17 7 0 10 -262144 -1
-1;
#X floatatom 42 302 5 0 0 0 - - -;
#X obj 42 331 bng 15 250 50 0 empty empty empty 17 7 0 10 -262144 -1
-1;
#X floatatom 42 379 5 0 0 0 - - -;
#X text 19 166 This gets tricky \, because Pd strips unnecessary characters
from a floating point number. Hence \, if you try to type "8.0 / 6.0"
in the [expr] object above \, the decimal point and the following zero
will be removed once you click outside the object (try it).;
#X text 19 230 There are several work-arounds for this problem:;
#X text 19 253 1;
#X text 19 330 2;
#X obj 42 278 expr (8.0) / (6.0);
#X text 79 143 "8" and "6" above are interpreted as integers;
#X text 65 248 Putting parentheses next to the number forces Pd to
interpret it as a symbol \, so no characters are stripped.;
#X obj 42 355 expr 8.0/6.0;
#X text 65 324 Removing the space between the numbers and the operator
achieves the same thing.;
#X obj 42 411 bng 15 250 50 0 empty empty empty 17 7 0 10 -262144 -1
-1;
#X floatatom 42 459 5 0 0 0 - - -;
#X text 19 410 3;
#X text 65 410 Using the "float" function makes the float type explicit.
;
#X obj 42 435 expr float(8) / 6;
#X text 7 2 [expr] Weirdness with Floats vs. Ints;
#X text 19 38 Numbers used in [expr~] follow the Max/MSP paradigm \,
where numbers without a decimal point are interpreted as integers.
This can be the source of some confusion in Pd \, which uses floating
point numbers exclusively.;
#X obj 22 576 bng 15 250 50 0 empty empty empty 17 7 0 10 -262144 -1
-1;
#X floatatom 22 618 5 0 0 0 - - -;
#X text 19 486 Since float has priority over int \, the integer in
example 3 is automatically converted to a float. Likewise \, using
"6" instead of "6.0" in examples 1 and 2 would still give a floating
point result.;
#X text 19 539 These details come in handy if you want to use an integer
to specify a large number:;
#X text 166 595 What happens if you put a space;
#X obj 22 596 expr 123456789%10;
#X text 167 610 between the "%" sign and these integers?;
#X text 19 704 Unfortunately \, [expr] doesn't understand scientific
notation. But even if it did \, a float will lose precision in this
calculation:;
#X text 165 625 (Scroll down for the answer);
#X obj 22 747 bng 15 250 50 0 empty empty empty 17 7 0 10 -262144 -1
-1;
#X floatatom 22 789 5 0 0 0 - - -;
#X obj 22 767 expr int(123456789.0)%10;
#X connect 0 0 3 0;
#X connect 3 0 1 0;
#X connect 4 0 12 0;
#X connect 6 0 15 0;
#X connect 12 0 5 0;
#X connect 15 0 7 0;
#X connect 17 0 21 0;
#X connect 21 0 18 0;
#X connect 24 0 29 0;
#X connect 29 0 25 0;
#X connect 33 0 35 0;
#X connect 35 0 34 0;
#X restore 275 546 pd expr_weirdness;
#X text 11 24 expression evaluation of control data;
#X text 98 269 list;
#X msg 395 48 3 4;
#X text 183 350 1) a dollar-sign ($);
#X text 166 285 - an extra inlet is added for each additional dollar-sign
variable specified as a creation argument ($v2 \, $f3 \, etc.). Each
inlet accepts only one of the following: signal \, float \, or symbol.
There may be at most nine variables in one [expr~] object. Each variable
consists of:;
#X text 183 363 2) "v" \, "f" \, "i" or "s" (signal \, float \, integer
or symbol);
#X text 183 376 3) an inlet number (Note: inlet numbers start from
one);
#X text 168 205 - if the variable $s1 is used as an argument \, it
will be replaced by the incoming symbol. (If $f1 \, $i1 \, and $s1
are not used as arguments \, the symbol will trigger the output.);
#X text 168 126 - if the variable $f1 (float) or $i1 (integer) is specified
as an argument \, it will be replaced in the expression by the incoming
value. The expression will then be evaluated and output. (Notes: You
cannot use $f1 and $i1 in the same [expr] object. If $f1 \, $i1 \,
and $s1 are not used as arguments \, an incoming float will trigger
the output.);
#X text 168 243 - a bang will evaluate the expression with the last
received values and trigger the output.;
#X text 167 463 - the arguments themselves form the expression to evaluate.
They may be floats or symbols \, including the special variables noted
above ($i1 \, $f2 \, etc.). The operators and functions available for
use in [expr~] are listed below:;
#X text 168 269 - a list will be distributed to the inlets of [expr].
;
#X obj 170 516 pddp/pddplink all_about_expr_functions.pd -text all_about_expr_operators_and_functions
;
#X text 80 463 n) float;
#X text 98 475 symbol atom;
#X text 98 489 comma;
#X text 98 502 semicolon;
#X obj 101 546 pddp/pddplink all_about_expr_if.pd -text expr_if;
#X obj 101 561 pddp/pddplink all_about_expr_and_value.pd -text expr_and_value
;
#X obj 101 578 pddp/pddplink all_about_expr_multiline.pd -text expr_multiline
;
#X obj 0 595 cnv 15 552 21 empty \$0-pddp.cnv.footer empty 20 12 0
14 -228856 -66577 0;
#N canvas 52 244 494 344 META 0;
#X text 12 125 LIBRARY internal;
#X text 12 165 WEBSITE http://crca.ucsd.edu/~msp/;
#X text 12 145 AUTHOR Shahrokh Yadegari;
#X text 12 205 HELP_PATCH_AUTHORS Updated for Pd 0.35 test 26 and expr*
0.4. Jonathan Wilkes revised the patch to conform to the PDDP template
for Pd version 0.42.;
#X text 12 5 KEYWORDS control nonlocal trigonometry;
#X text 12 65 INLET_0 float bang symbol list;
#X text 12 85 INLET_N float symbol;
#X text 12 105 OUTLET_N float;
#X text 12 45 DESCRIPTION expression evaluation of control data;
#X text 12 185 RELEASE_DATE 1989;
#X text 12 25 LICENSE GPL v2;
#X restore 500 598 pd META;
#N canvas 102 481 428 109 Related_objects 0;
#X obj 1 1 cnv 15 425 20 empty \$0-pddp.cnv.subheading empty 3 12 0
14 -204280 -1 0;
#X obj 22 43 expr~;
#X obj 62 43 fexpr~;
#X text 7 2 [expr] Related Objects;
#X restore 101 598 pd Related_objects;
#X obj 4 598 pddp/pddplink all_about_help_patches.pd -text Usage Guide;
#X connect 13 0 27 0;
#X connect 15 0 29 0;
#X connect 17 0 19 0;
#X connect 19 0 18 0;
#X connect 20 0 19 1;
#X connect 21 0 23 0;
#X connect 23 0 22 0;
#X connect 27 0 16 0;
#X connect 29 0 14 0;
#X connect 36 0 19 0;