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#X text 12 76 Examples:;
#X text 9 369 Inlets:;
#X text 19 388 - Left:;
#X text 10 566 Arguments:;
#X text 11 602 Outlets:;
#X text 19 659 See Also:;
#X text 74 48 Full Name:;
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#X text 5 10 Externals and libraries;
#X obj 44 37 pmpd2d;
#X obj 140 37 pmpd3d;
#X restore 122 715 pd Related_Objects;
#N canvas 541 387 524 302 init 0;
#X msg 89 187 Xmax 127 \, Xmin 0;
#X obj 89 215 t a;
#X obj 89 33 loadbang;
#X msg 143 100 mass fix 0 10 0;
#X obj 89 241 s \$0-in;
#X obj 89 59 t b b b b b;
#X msg 161 80 reset;
#X obj 44 13 inlet;
#X msg 125 120 mass mob 1 10 0 \, mass mob 1 10 0 \, mass mob 1 10
0;
#X msg 107 143 link souple 1 0 1 0.5 \, link souple 1 2 1 0.5 \, link
souple 3 2 1 0.5;
#X connect 0 0 1 0;
#X connect 1 0 4 0;
#X connect 2 0 5 0;
#X connect 3 0 1 0;
#X connect 5 0 0 0;
#X connect 5 1 9 0;
#X connect 5 2 8 0;
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#X connect 5 4 6 0;
#X connect 6 0 1 0;
#X connect 7 0 5 0;
#X connect 8 0 1 0;
#X connect 9 0 1 0;
#X restore 17 156 pd init;
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#X obj 261 345 s \$0-in;
#X msg 261 322 posX fix \$1;
#N canvas 565 515 355 193 compute 0;
#X obj 159 37 inlet;
#X obj 159 74 metro 20;
#X obj 159 135 s \$0-in;
#X msg 159 104 bang \, massesPosL;
#X connect 0 0 1 0;
#X connect 1 0 3 0;
#X connect 3 0 2 0;
#X restore 17 224 pd compute;
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#X obj 261 131 route massesPosL;
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#X obj 330 184 vsl 15 127 0 127 0 0 empty empty empty 0 -8 0 8 -262144
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#X obj 261 152 unpack f f f f;
#X text 101 388 Bang - A bang at the left inlet compute the new model
state based on previous instant.;
#X text 188 478 To set the model parameters after creation.;
#X text 188 456 To create the model masses and links.;
#X text 186 512 To get the model parameters;
#X text 103 582 None;
#X text 18 623 - Left:;
#X text 101 624 Outputs the model parameters asked with the attributes
messages.;
#X text 101 420 Messages - Different messages are used to control the
msd object. They are of three types :;
#X text 9 681 CATEGORY: control;
#X text 9 691 KEYWORDS: physical model mass spring damper link;
#X text 111 659 01_msdtest.pd;
#X obj 157 48 pmpd;
#X text 12 8 HELP: pmpd;
#X text 12 20 DESCRIPTION: physical modeling for pd \, based on msd.
;
#X obj 17 319 pmpd;
#X text 266 716 - Cyrille Henry \, 2011;
#X text 283 732 based on MSD by Nicolas Montgermont;
#X obj 17 187 loadbang;
#N canvas 414 430 1213 533 links_attributes 0;
#X obj 5 3 cnv 15 590 15 empty empty empty 20 12 0 14 -233017 -66577
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#X text 7 2 ATTRIBUTES Messages;
#X text 7 227 Lists :;
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#X obj 612 133 cnv 15 150 50 empty empty empty 20 12 0 14 -233017 -66577
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#X text 349 475 \$1 (optional): Masses Id;
#X text 834 260 \$2 (optional): Masses Id;
#X text 833 247 \$1 : table name;
#X text 608 5 tables :;
#X text 15 30 The attributes messages ask the object to output some
of his internal parameters. They can be output by lists for positions
and forces of links;
#X text 170 260 Output all links center positions in a list on outlet
No 1;
#X obj 12 414 cnv 15 150 50 empty empty empty 20 12 0 14 -233017 -66577
0;
#X text 184 422 Output all link lenght deformation speed in a list
on outlet No 1;
#X obj 612 189 cnv 15 150 50 empty empty empty 20 12 0 14 -233017 -66577
0;
#X text 808 197 Output all link lenght deformation speed in a list
on outlet No 1;
#X text 793 47 Output all links center positions in a table (\$1);
#X text 170 313 Output all link lenght in a list on outlet No 1;
#X text 171 372 Output all link center speed in a list on outlet No
1;
#X text 797 94 Output all link length in a list on outlet No 1;
#X text 795 144 Output all link center speed in a list on outlet No
1;
#X obj 8 95 cnv 15 150 100 empty empty empty 20 12 0 14 -233017 -66577
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#X text 172 100 \$1 : id float or symbol of masses (nothing for all)
;
#X text 172 160 \$1 : id float or symbol of masses (nothing for all)
;
#X msg 12 103 linkPos [\$1];
#X msg 12 163 linkEnd [\$1];
#X text 173 120 output a message for every links :;
#X text 173 180 output a message for every links :;
#X obj 2 76 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
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#X text 5 76 generic :;
#X text 202 137 linkPos symbolId number center;
#X text 172 196 linkEnd symbolId number posX1 posX2;
#X obj 614 323 cnv 15 150 200 empty empty empty 20 12 0 14 -233017
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#X obj 608 302 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X text 611 302 tables :;
#X msg 628 331 linkEndT \$1 [\$2];
#X text 790 331 Put position of the 2 link end on a table [\$1] \,
filter on link id is possible;
#X msg 640 351 linkEnd1T \$1 [\$2];
#X msg 639 371 linkEnd2T \$1 [\$2];
#X msg 638 392 linkEndXT \$1 [\$2];
#X msg 638 411 linkEnd1XT \$1 [\$2];
#X msg 638 431 linkEnd2XT \$1 [\$2];
#X msg 639 453 linkEndYT \$1 [\$2];
#X msg 641 473 linkEnd1YT \$1 [\$2];
#X msg 640 493 linkEnd2YT \$1 [\$2];
#X text 795 363 table is posX1 posY1 posX2 posY2 ....;
#X msg 11 259 linkPosL (\$1);
#X msg 11 278 linkPosXL (\$1);
#X msg 13 309 linkLengthL (\$1);
#X msg 13 328 linkLengthXL (\$1);
#X msg 16 365 linkPosSpeedL (\$1);
#X msg 16 384 linkPosSpeedXL (\$1);
#X msg 14 421 linkLengthSpeedL (\$1);
#X msg 14 440 linkLengthSpeedXL (\$1);
#X msg 615 38 linkPosT \$1 (\$2);
#X msg 616 57 linkPosXT \$1 (\$2);
#X msg 616 92 linkLengthT \$1 (\$2);
#X msg 616 111 linkLengthXT \$1 (\$2);
#X msg 616 139 linkPosSpeedT \$1 (\$2);
#X msg 616 158 linkPosSpeedXT \$1 (\$2);
#X msg 614 196 linkLengthSpeedT \$1 (\$2);
#X msg 613 215 linkLengthSpeedXT \$1 (\$2);
#X restore 12 519 pd links_attributes ___;
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#X obj 568 62 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
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#X text 7 62 Masses :;
#X text 571 62 Links :;
#X text 7 2 DYNAMIC SETTINGS Messages;
#X text 190 144 Add force on mass(es);
#X msg 30 152 forceX \$1 \$2;
#X text 192 212 \$1 : Value;
#X text 193 107 \$1 : Id (symbol) or No;
#X text 193 161 \$1 : Id (symbol) or No;
#X msg 29 244 setMobile \$1;
#X msg 29 265 setFixed \$1;
#X text 193 89 Set position of fixed mass(es);
#X text 193 125 \$2 : Value;
#X text 193 179 \$2 : Value;
#X text 189 196 Set minimimum and maximum position of all masses;
#X text 188 244 Set mass to mobile or fixed;
#X msg 594 150 setD \$1 \$2;
#X text 749 136 \$2 : New value;
#X msg 594 99 setK \$1 \$2;
#X text 749 192 \$2 : New value;
#X text 749 245 \$2 : New value;
#X text 743 100 Set rigidity of link(s);
#X text 743 156 Set damping of link(s);
#X msg 594 205 setL \$1 \$2;
#X text 743 209 Set initial lenght of link(s);
#X text 749 118 \$1 : Id (symbol) or No;
#X text 749 174 \$1 : Id (symbol) or No;
#X text 749 227 \$1 : Id (symbol) or No;
#X text 191 261 \$1 : Id (symbol) or No;
#X text 10 25 Dynamic settings messages allows the user to redefine
internal parameters of links and masses.;
#X msg 26 610 setDEnv \$1;
#X text 173 612 Change environement damping;
#X text 185 629 \$1 : damping;
#X msg 584 358 setLinkId \$1 \$2;
#X text 738 359 Change the Id of a link;
#X text 739 376 \$1 : link (number or Id);
#X text 742 393 \$2 : New Id;
#X msg 587 431 setLKTab \$1 \$2;
#X text 746 431 change the table (K) size of a non linear link;
#X text 747 451 \$1 : link (number or Id);
#X text 748 468 \$2 : New KL;
#X text 747 513 \$1 : link (number or Id);
#X msg 587 493 setLDTab \$1 \$2;
#X text 746 493 change the table (D) size of a non linear link;
#X text 748 530 \$2 : New DL;
#X text 190 401 \$2 : New Id;
#X msg 24 367 setMassId \$1 \$2;
#X text 190 367 Change the Id of a mass;
#X text 191 384 \$1 : mass (number or Id);
#X msg 22 428 setForce \$1 \$2;
#X msg 22 496 setSpeed \$1 \$2;
#X msg 23 559 addPos \$1 \$2;
#X text 185 448 \$1 : Id (symbol) or No;
#X text 185 466 \$2 : Value;
#X text 182 431 set force on mass(es);
#X text 184 515 \$1 : Id (symbol) or No;
#X text 184 533 \$2 : Value;
#X text 181 498 set speed of a mass(es);
#X text 183 576 \$1 : Id (symbol) or No;
#X text 183 594 \$2 : Value;
#X text 180 559 add pos of a mass(es);
#X text 185 299 grab a mass \, and move it;
#X text 187 317 \$1 : position;
#X text 187 333 \$2 : grab or not (0 or 1);
#X msg 28 300 grabMass \$1 \$2;
#X msg 31 96 SetPosX \$1 \$2;
#X msg 31 116 SetPos \$1 \$2;
#X msg 30 172 force \$1 \$2;
#X msg 30 195 minX \$1;
#X msg 30 217 maxX \$1;
#X msg 90 195 min \$1;
#X msg 90 217 max \$1;
#X text 180 690 \$2 : damping;
#X text 179 675 \$1 : Id (symbol) or No;
#X msg 16 659 setDEnvOffset \$1 \$2;
#X text 168 659 Change environement damping offset;
#X msg 22 448 setForceX \$1 \$2;
#X msg 22 516 setSpeedX \$1 \$2;
#X msg 23 579 addPosX \$1 \$2;
#X text 721 272 Set initial lenght of link(s);
#X text 727 290 \$1 : Id (symbol) or No;
#X msg 581 271 setLCurrent \$1 [\$2];
#X text 727 308 \$2 : mix between link size (0) and curent length (1)
;
#X text 722 326 if no \$2 arg is provide \, then L is set to curent
length;
#X text 600 786 if only 1 argument is previded \, message generally
used this argument as the value applayed to all masses (or link);
#X text 746 596 \$1 : link (number or Id);
#X text 745 552 \$1 : link (number or Id);
#X msg 586 576 setActive \$1 \$2;
#X msg 585 532 setInactive \$1 \$2;
#X text 744 532 did not compute a link anymore;
#X text 745 576 compute the link at each bang;
#X text 741 663 \$1 : link (number or Id);
#X msg 586 620 setOverdamp \$1 \$2;
#X text 741 677 \$2 : overdamp value;
#X text 740 621 Change the overdamp of a link. i.e a strange parametter
that amplifie forces that oposed to movment. Use at your own risk.
;
#X text 743 724 \$1 : link (number or Id);
#X msg 588 705 setEnd \$1 \$2 \$3;
#X text 742 740 \$2 : mass number for end 1;
#X text 742 707 Change the masses a link is connected to;
#X text 741 756 \$3 : mass number for end 2;
#X msg 600 728 setEnd1 \$1 \$2;
#X msg 600 750 setEnd2 \$1 \$2;
#X restore 12 478 pd dynamic settings ___;
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#X text 7 2 CREATION Messages;
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#X msg 32 104 reset;
#X text 202 197 Add a mass;
#X text 288 198 \$1 : Id (symbol);
#X text 287 218 \$2 : fixed or mobile (0/1);
#X text 287 236 \$3 : mass;
#X msg 32 197 mass \$1 \$2 \$3 \$4;
#X text 287 254 \$4 : initial position;
#X text 7 167 Masses :;
#X text 7 74 Reset :;
#X text 129 105 Delete all masses \, links and internal variables;
#X text 6 338 Links :;
#X text 271 390 \$1 : Id (symbol);
#X text 271 390 \$1 : Id (symbol);
#X text 271 443 \$4 : rigidity;
#X text 271 408 \$2 : creation No/Id of mass1;
#X text 271 426 \$3 : creation No/Id of mass2;
#X text 266 371 Add link(s);
#X text 271 461 \$5 : damping;
#X text 10 28 Creation messages are used to define the structure of
the model. Messages create links and masses or destroy them.;
#X text 271 479 \$6 : Power of the rigidity distance;
#X msg 35 549 tabLink \$1 \$2 \$3 \$4 \$5 \$6 \$7;
#X text 267 498 (\$7) : minimum lenght of link;
#X text 268 515 (\$8) : maximum lenght of link;
#X text 266 565 \$1 : Id (symbol);
#X text 266 565 \$1 : Id (symbol);
#X text 266 583 \$2 : creation No/Id of mass1;
#X text 266 601 \$3 : creation No/Id of mass2;
#X text 261 546 Add non linear link(s);
#X text 264 618 \$4 : table name for the rigidity;
#X text 264 636 \$5 : length of the table;
#X text 264 654 \$6 : table name for the damping;
#X text 263 673 \$7 : length of the table;
#X msg 33 131 print;
#X text 103 131 post surrent physical model topology;
#X msg 30 371 link \$1 \$2 \$3 \$4 \$5 [\$6 [\$7 [\$8 ]]];
#X restore 12 457 pd creation____________;
#N canvas 0 50 901 640 More_Info 0;
#X text 96 12 pmpd : mass - spring - damper model;
#X text 27 155 Be careful : if masses are deleted \, lists messages
won't work;
#X text 27 60 It is designed to implement particules physical model
in PD.The model is based on two elements type : mass and link. The
pmpd masses are the principals objects of the model. They got only
one physical parameter \, the value of their mass. They can be mobile
or fixed \, in this case forces applied on them automatically \, by
links \, or manually \, by messages \, don't do anything.;
#X obj 426 -5 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
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#X array rigidity1 4 float 1;
#A 0 -1 0 1 2;
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#A 0 0 0 0 0;
#X coords 0 3 3 -3 200 150 1;
#X restore 31 428 graph;
#X text 89 585 L0;
#N canvas 324 73 956 727 figure 0;
#X obj 284 53 loadbang;
#X msg 293 125 \; rigidity1 resize 1 \; rigidity1 resize 4 \; rigidity1
bounds 0 3 3 -3 \; rigidity1 0 -1 0 1 2 \; rigidity1 ylabel -0.5 \;
rigidity1 xlabel -3.5 \; rigidity1 xticks 0 1 1 \; rigidity1 yticks
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#X obj 388 574 sqrt;
#X obj 316 651 tabwrite rigidity3;
#X obj 343 464 - 20;
#X obj 316 609 f;
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#X obj 343 494 moses 0;
#X obj 343 517 * -1;
#X obj 343 538 sqrt;
#X obj 343 559 * -1;
#X obj 481 479 - 20;
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#X obj 481 532 * -1;
#X obj 480 612 * -1;
#X obj 528 622 *;
#X obj 480 591 *;
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#X obj 480 564 t f f;
#X obj 453 683 tabwrite rigidity4;
#X obj 181 235 t b b;
#X obj 620 552 f;
#X obj 620 522 t b f;
#X obj 620 623 tabwrite rigidity2;
#X msg 763 574 0;
#X obj 679 437 - 50;
#X obj 751 491 moses 40;
#X obj 681 510 moses -40;
#X obj 620 586 * 1.5;
#X obj 680 462 moses 10;
#X obj 680 488 moses -10;
#X msg 55 419 \; rigidity2 resize 101 \; rigidity2 xticks 1 10 5 \;
rigidity2 yticks 0 5 5 \; rigidity3 resize 51 \; rigidity3 xticks 0
1 5 \; rigidity3 yticks 0 1 5 \; rigidity4 resize 51 \; rigidity4 xticks
0 1 5 \; rigidity4 yticks 0 100 5;
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#X obj 392 411 + 1;
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#X msg 371 310 0;
#X msg 627 286 0;
#X obj 631 343 moses 100.5;
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#X connect 0 0 22 0;
#X connect 2 0 5 1;
#X connect 4 0 7 0;
#X connect 5 0 3 0;
#X connect 6 0 5 0;
#X connect 6 1 3 1;
#X connect 7 0 8 0;
#X connect 7 1 2 0;
#X connect 8 0 9 0;
#X connect 9 0 10 0;
#X connect 10 0 5 1;
#X connect 11 0 14 0;
#X connect 12 0 21 0;
#X connect 13 0 12 0;
#X connect 13 1 21 1;
#X connect 14 0 15 0;
#X connect 14 1 19 0;
#X connect 15 0 20 0;
#X connect 16 0 12 1;
#X connect 17 0 12 1;
#X connect 18 0 16 0;
#X connect 19 0 17 0;
#X connect 19 1 17 1;
#X connect 20 0 18 0;
#X connect 20 1 18 1;
#X connect 22 0 42 0;
#X connect 22 1 33 0;
#X connect 22 1 43 0;
#X connect 23 0 30 0;
#X connect 24 0 23 0;
#X connect 24 1 25 1;
#X connect 26 0 23 1;
#X connect 27 0 31 0;
#X connect 28 0 23 1;
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#X connect 29 0 26 0;
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#X connect 31 0 32 0;
#X connect 31 1 28 0;
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#X connect 36 1 24 0;
#X connect 37 0 38 0;
#X connect 38 0 40 0;
#X connect 39 0 37 0;
#X connect 40 0 39 0;
#X connect 40 1 4 0;
#X connect 40 1 6 0;
#X connect 40 1 13 0;
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#X connect 42 0 37 0;
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#X restore 27 304 pd figure;
#X text 105 375 Rigidity;
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#X restore 449 428 graph;
#X text 547 583 L0;
#X text 466 374 Rigidity with Lmin and Lmax;
#X text 563 583 Lmin;
#X text 625 582 Lmax;
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#X text 314 581 L0;
#X text 257 375 Rigidity with power = 1/2;
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#X restore 657 428 graph;
#X text 730 582 L0;
#X text 688 373 Rigidity with power = 2;
#X text 571 12 The equations are :;
#X text 497 36 if Lmin<|L[n]-L[0]|<Lmax;
#X text 496 75 else;
#X text 496 95 F[n] = D(L[n]-L[n-1]);
#X text 496 54 F[n] = K(L[n] - L[0])^P + D(L[n] - L[n-1]);
#X text 28 187 Links connect masses two by two. They got 4 physicals
parameters : length \, rigidity \, damping and power.;
#X text 27 216 Rigidity \, damping and power are defined by the creation
message. The lenght is initialised to the distance between the two
masses at the creation.;
#X text 495 124 For oriented links \, the force F[n] is projected onto
a vector which is given during the creation of the link using x1y1
coordinates.;
#X text 495 169 For normal vector \, the direction is calculated using
the scalar product :;
#X text 495 248 You can build specific links using different links
messages defining the characteristic step by step.;
#X text 496 206 x1x2 + y1y2 = 0;
#X text 27 257 Links can be created in one shot between mutiples masses
\, instead of creation number \, the masses linked are defined with
their Id.;
#X text 28 41 pmpd is the 2D object of the pmpd objects collection.
;
#X connect 3 0 4 0;
#X restore 18 715 pd More_Info;
#N canvas 809 128 638 809 masses_attributes___ 0;
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#X text 7 2 ATTRIBUTES Messages;
#X text 7 287 Lists :;
#X text 15 30 The attributes messages ask the object to output some
of his internal parameters. They can be output by lists for positions
and forces of masses.;
#X text 171 320 Output all masses positions in a list on outlet;
#X text 169 349 Output all forces applied on masses in a list on outlet
;
#X text 170 379 Output all speeds of the masses in a list on outlet
;
#X obj 14 438 cnv 15 150 95 empty empty empty 20 12 0 14 -233017 -66577
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#X obj 8 418 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
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#X text 11 418 Tables :;
#X text 176 450 Output all masses positions in a table (\$1 = table
name \, \$2 (optional): Masses Id);
#X text 174 479 Output all forces applied on masses in a table (\$1
= table name \, \$2 (optional): Masses Id);
#X text 174 510 Output all speeds of the masses in a table (\$1 = table
name \, \$2 (optional): Masses Id);
#X text 170 333 \$1 (optional): Masses Id;
#X text 170 363 \$1 (optional): Masses Id;
#X text 171 392 \$1 (optional): Masses Id;
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#X text 171 677 output the closest mass;
#X text 170 691 \$1 : position;
#X text 8 649 others :;
#X msg 16 677 closestMass \$1 (\$2);
#X text 170 706 \$2 : none or Id;
#X obj 5 75 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
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#X text 7 74 General :;
#X obj 10 97 cnv 15 150 150 empty empty empty 20 12 0 14 -233017 -66577
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#X msg 14 105 massPos [\$1];
#X text 187 106 \$1 : id float or symbol of masses (nothing for all)
;
#X text 188 126 output a message for every masses :;
#X text 218 143 massPos symbolId number posX posY posZ;
#X text 187 166 \$1 : id float or symbol of masses (nothing for all)
;
#X text 188 186 output a message for every masses :;
#X text 218 203 massPos symbolId number speedX speedY speedZ;
#X text 187 225 \$1 : id float or symbol of masses (nothing for all)
;
#X text 188 241 output a message for every masses :;
#X msg 14 224 massForce [\$1];
#X text 218 258 massPos symbolId number forceX forceY forceZ;
#X msg 14 165 massSpeed [\$1];
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#X text 172 600 \$1 : table name;
#X text 171 619 \$2 : masses name;
#X text 170 577 apply a force to masses. Force come from a table;
#X obj 13 567 cnv 15 150 40 empty empty empty 20 12 0 14 -233017 -66577
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#X msg 21 574 forceXT \$1 [\$2];
#X text 15 546 Table in:;
#X text 178 733 output a series of message :;
#X msg 15 732 massDistance [\$1 [\$2]];
#X text 193 747 distance mass1 mass2 distanceX \, distanceY \, distanceZ
\, distance;
#X msg 16 320 massPosL (\$1);
#X msg 16 348 massForceL (\$1);
#X msg 17 377 massSpeedL (\$1);
#X msg 16 451 massPosT \$1 (\$2);
#X msg 16 479 massForceT \$1 (\$2);
#X msg 17 509 massSpeedT \$1 (\$2);
#X restore 12 499 pd masses_attributes___;
#N canvas 888 238 700 758 statistics 0;
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#X obj 19 21 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
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#X text 185 70 \$1 : none or Id;
#X text 186 113 \$1 : none or Id;
#X text 185 163 \$1 : none or Id;
#X text 187 194 \$1 : none or Id;
#X text 185 242 \$1 : none or Id;
#X text 186 279 \$1 : none or Id;
#X msg 30 54 massPosMean;
#X msg 31 92 massPosStd \$1;
#X msg 30 141 massForceMean;
#X msg 30 179 massForceStd \$1;
#X msg 31 228 massSpeedMean;
#X msg 30 262 massSpeedStd \$1;
#X text 182 178 output the standard deviation of masses force;
#X text 181 263 output the standard deviation of masses velocity;
#X text 22 21 masses :;
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#X obj 23 337 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
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#X text 191 389 \$1 : none or Id;
#X text 190 421 \$1 : none or Id;
#X text 192 467 \$1 : none or Id;
#X text 194 504 \$1 : none or Id;
#X text 187 562 \$1 : none or Id;
#X text 193 597 \$1 : none or Id;
#X msg 38 402 linkPosStd \$1;
#X msg 37 489 linkLengthStd \$1;
#X msg 37 572 linkPosSpeedStd \$1;
#X text 194 637 \$1 : none or Id;
#X text 196 674 \$1 : none or Id;
#X msg 38 658 linkLengthSpeedStd \$1;
#X msg 37 364 linkPosMean \$1;
#X msg 37 450 linkLengthMean \$1;
#X msg 38 538 linkPosSpeedMean \$1;
#X msg 39 618 linkLengthSpeedMean \$1;
#X text 189 404 output the standard deviation of link center position
;
#X text 189 488 output the standard deviation of links length;
#X text 192 572 output the standard deviation of links center position
velocity;
#X text 191 658 output the standard deviation of links length change
;
#X text 26 337 links :;
#X text 181 141 output the average force applyed to masses;
#X text 181 54 output the average position of masses;
#X text 182 91 output the standard deviation of masses position;
#X text 181 226 output the average velocity of masses;
#X text 188 361 output the average position of links center;
#X text 188 451 output the average links length;
#X text 188 536 output the average center position velocity of links
;
#X text 190 619 output the average change in links length;
#X restore 13 541 pd statistics _________;
#X text 187 543 To get statistical data of the simulation;
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#X connect 24 0 23 0;
#X connect 26 0 25 0;
#X connect 27 0 29 0;
#X connect 28 0 18 0;
#X connect 29 0 32 0;
#X connect 32 0 21 0;
#X connect 32 1 22 0;
#X connect 32 2 30 0;
#X connect 32 3 31 0;
#X connect 47 0 19 0;
#X connect 50 0 26 0;