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#X text 12 76 Examples:;
#X text 9 289 Inlets:;
#X text 19 308 - Left:;
#X text 10 525 Arguments:;
#X text 11 561 Outlets:;
#X text 19 616 See Also:;
#X text 74 48 Full Name:;
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#X text 5 10 Externals and libraries;
#X obj 44 37 pmpd;
#X obj 141 39 pmpd2d;
#X restore 122 673 pd Related_Objects;
#X text 158 376 To create the model masses and links.;
#X text 103 541 None;
#X text 18 582 - Left:;
#X text 101 583 Outputs the model parameters asked with the attributes
messages.;
#X text 101 340 Messages - Different messages are used to control the
pmpd object. They are of three types :;
#X text 9 638 CATEGORY: control;
#X text 9 648 KEYWORDS: physical model mass spring damper link;
#X text 265 668 - Cyrille Henry 2011;
#X text 265 680 based on MSD by Nicolas Montgermont \, 2005;
#X text 12 8 HELP: pmpd3d;
#X text 11 19 DESCRIPTION: Physical modeling for Pd in 3d;
#X obj 157 48 pmpd3d;
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#X obj 44 13 inlet;
#X msg 107 161 link souple mob mob 10 10;
#X msg 89 187 Xmax 4 \, Xmin -4 \, Ymax 4 \, Ymin -4 \, Zmax 1 \, Zmin
-4;
#X msg 125 110 mass mob 1 100 0 1 0 \, mass mob 1 100 1 0 0 \, mass
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#X restore 17 156 pd init;
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#X obj 318 257 s \$0-in;
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#X obj 27 127 s \$0-in;
#X obj 27 66 gemhead;
#X msg 27 96 bang \, massPos \, linkEnd;
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#X restore 17 179 pd compute;
#X obj 102 198 r \$0-out;
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#X obj 48 203 translateXYZ;
#X obj 48 229 sphere 0.1;
#X obj 127 24 inlet;
#X obj 390 13 inlet;
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#X msg 390 58 \$2 \$3 \$4;
#X msg 462 62 \$5 \$6 \$7;
#X obj 48 167 gemhead;
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#X restore 102 249 pd gemrender;
#X obj 17 226 pmpd3d;
#X text 417 226 2 Send forces;
#X text 112 617 01_pmpd3dtest.pd;
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#X text 7 2 CREATION Messages;
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#X msg 32 104 reset;
#X text 202 187 Add a mass;
#X text 57 211 \$1 : Id (symbol);
#X text 57 231 \$2 : fixed or mobile (0/1);
#X text 57 249 \$3 : mass;
#X text 7 157 Masses :;
#X text 7 74 Reset :;
#X text 103 103 Delete all masses \, links and internal variables;
#X text 6 301 Links :;
#X text 49 356 \$1 : Id (symbol);
#X text 49 409 \$4 : rigidity;
#X text 49 356 \$1 : Id (symbol);
#X text 49 409 \$4 : rigidity;
#X text 49 374 \$2 : creation No/Id of mass1;
#X text 49 392 \$3 : creation No/Id of mass2;
#X text 266 334 Add link(s);
#X text 49 427 \$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.;
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#X text 497 180 \$1 : Id (symbol);
#X text 497 233 \$4 : rigidity;
#X text 497 180 \$1 : Id (symbol);
#X text 497 233 \$4 : rigidity;
#X text 497 198 \$2 : creation No/Id of mass1;
#X text 497 216 \$3 : creation No/Id of mass2;
#X text 497 251 \$5 : damping;
#X text 807 153 Add tangential link(s);
#X text 474 75 Oriented links :;
#X msg 472 376 tabLink \$1 \$2 \$3 \$4 \$5 \$6 \$7;
#X text 500 402 \$1 : Id (symbol);
#X text 500 402 \$1 : Id (symbol);
#X text 500 420 \$2 : creation No/Id of mass1;
#X text 500 438 \$3 : creation No/Id of mass2;
#X text 662 375 Add non linear link(s);
#X text 498 455 \$4 : table name for the rigidity;
#X text 498 473 \$5 : length of the table;
#X text 498 490 \$6 : table name for the damping;
#X text 498 508 \$7 : length of the table;
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#X text 467 351 Table links :;
#X msg 32 187 mass \$1 \$2 \$3 \$4 \$5 \$6;
#X text 58 267 \$4 \, \$5 \, \$6 : initial position;
#X text 496 270 \$6 \, \$7 \, \$8 : tangential vector (x \, y);
#X msg 33 131 print;
#X msg 30 334 link \$1 \$2 \$3 \$4 \$5 [\$6 [\$7 [\$8]]];
#X msg 477 153 tLink \$1 \$2 \$3 \$4 \$5 \$6 \$7 \$8 [\$9 [\$10 [\$11]]]
;
#X text 494 289 [\$9] : Power of the rigidity distance;
#X text 494 308 [\$10] : minimum lenght of link;
#X text 494 325 [\$11] : maximum lenght of link;
#X text 46 445 [\$6] : Power of the rigidity distance;
#X text 46 464 [\$7] : minimum lenght of link;
#X text 46 481 [\$8] : maximum lenght of link;
#X text 103 131 post current physical model topology;
#X text 476 102 In 2D (and 3D) there are two specials links : oriented
links. They work as general links except their calculation is made
following a vector.;
#X restore 12 377 pd creation____________;
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#X text 17 62 Masses :;
#X text 529 62 Links :;
#X text 17 2 DYNAMIC SETTINGS Messages;
#X msg 35 190 forceX \$1 \$2;
#X text 189 113 \$1 : Id (symbol) or No;
#X text 189 194 \$1 : Id (symbol) or No;
#X msg 14 346 setMobile \$1;
#X msg 14 367 setFixed \$1;
#X text 158 94 Set position of fixed mass(es);
#X text 170 346 Set mass to mobile or fixed;
#X msg 530 150 setD \$1 \$2;
#X text 655 98 Set rigidity of link(s);
#X text 655 154 Set damping of link(s);
#X msg 529 211 setL \$1 \$2;
#X text 657 213 Set initial lenght of link(s);
#X text 681 116 \$1 : Id (symbol) or No;
#X text 681 172 \$1 : Id (symbol) or No;
#X text 683 231 \$1 : Id (symbol) or No;
#X text 193 362 \$1 : Id (symbol) or No;
#X text 167 390 Grab nearest mass;
#X msg 35 209 forceY \$1 \$2;
#X msg 14 435 setMassId \$1 \$2;
#X text 166 436 Change the Id of a mass;
#X text 194 452 \$1 : mass (number or Id);
#X msg 19 563 setSpeed \$1 \$2;
#X text 193 497 \$1 : Id (symbol) or No;
#X text 167 482 set force on mass(es);
#X text 191 581 \$1 : Id (symbol) or No;
#X text 166 564 set speed of a mass(es);
#X text 173 663 \$1 : Id (symbol) or No;
#X text 170 646 add pos of a mass(es);
#X text 192 424 \$3 : grab or not (0 or 1);
#X msg 19 483 setForce \$1 \$2 \$3;
#X text 193 512 \$2 / \$3 : Value;
#X msg 39 502 setForceX \$1 \$2;
#X msg 39 521 setForceY \$1 \$2;
#X text 189 131 \$2 / \$3 : Value;
#X msg 15 171 force \$1 \$2 \$3;
#X text 189 212 \$2 / \$3 : Value;
#X text 173 730 Change environement damping;
#X msg 39 582 setSpeedX \$1 \$2;
#X msg 39 601 setSpeedY \$1 \$2;
#X text 191 596 \$2 / \$3 : Value;
#X text 174 681 \$2 / \$3 : Value;
#X msg 19 644 addPos \$1 \$2 \$3;
#X msg 529 359 setLinkId \$1 \$2;
#X text 655 360 Change the Id of a link;
#X text 688 377 \$1 : link (number or Id);
#X text 689 394 \$2 : New Id;
#X msg 527 425 setLKTab \$1 \$2;
#X text 650 425 change the table (K) size of a non linear link;
#X text 691 445 \$1 : link (number or Id);
#X text 692 462 \$2 : New KL;
#X text 691 507 \$1 : link (number or Id);
#X msg 528 487 setLDTab \$1 \$2;
#X text 651 487 change the table (D) size of a non linear link;
#X text 692 524 \$2 : New DL;
#X msg 35 228 forceZ \$1 \$2;
#X msg 16 248 min \$1 \$2;
#X msg 16 268 max \$1 \$2;
#X text 189 266 \$1 / \$2 / \$3 : Value;
#X msg 39 540 setForceZ \$1 \$2;
#X msg 39 620 setSpeedZ \$1 \$2;
#X msg 39 663 addPosX \$1 \$2;
#X msg 39 682 addPosY \$1 \$2;
#X msg 40 701 addPosZ \$1 \$2;
#X msg 19 727 setDEnv \$1 \$2;
#X text 194 746 \$1 : Id (symbol) or No;
#X text 192 804 \$1 : Id (symbol) or No;
#X msg 20 772 setDEnvOffset \$1 \$2;
#X msg 36 288 minX \$1;
#X msg 95 287 maxX \$1;
#X msg 36 306 minY \$1;
#X msg 95 306 maxY \$1;
#X msg 36 325 minZ \$1;
#X msg 95 325 maxZ \$1;
#X msg 16 95 setPos \$1 \$2 \$3;
#X msg 36 114 setPosX \$1 \$2;
#X msg 36 152 setPosZ \$1 \$2;
#X text 171 777 Set environement damping offset (in order to force
a specific velocity to masses);
#X text 657 272 Set initial lenght of link(s);
#X text 687 291 \$1 : Id (symbol) or No;
#X msg 529 271 setLCurrent \$1 [\$2];
#X text 691 610 \$1 : link (number or Id);
#X text 691 566 \$1 : link (number or Id);
#X msg 529 590 setActive \$1 \$2;
#X msg 529 546 setInactive \$1 \$2;
#X text 650 590 compute the link at each bang;
#X text 691 676 \$1 : link (number or Id);
#X msg 529 634 setOverdamp \$1 \$2;
#X text 690 728 \$1 : link (number or Id);
#X msg 528 709 setEnd \$1 \$2 \$3;
#X text 690 744 \$2 : mass number for end 1;
#X text 652 710 Change the masses a link is connected to;
#X text 690 760 \$3 : mass number for end 2;
#X msg 548 732 setEnd1 \$1 \$2;
#X msg 548 754 setEnd2 \$1 \$2;
#X msg 530 99 setK \$1 \$2;
#X msg 36 133 setPosY \$1 \$2;
#X msg 14 390 grabMass \$1 \$2 \$3 \$4;
#X text 193 407 \$1 \$2 \$3 : position;
#X text 10 25 Dynamic settings messages allow the user to redefine
internal parameters of links and masses.;
#X text 166 170 Add force to mass(es);
#X text 686 309 \$2 : mix between link size (0) and current length
(1);
#X text 686 327 if no \$2 arg is provided \, then L is set to current
length;
#X text 651 546 do not compute a link anymore;
#X text 654 635 Change the overdamp of a link. i.e a strange parameter
that amplifies forces that oppose to movment. Use at your own risk.
;
#X text 663 793 if only 1 argument is provided \, message generally
uses this argument as the value applied to all masses (or links);
#X text 166 248 Set minimimum or maximum position of all masses;
#X text 681 134 \$2 : New value (float or table);
#X text 681 190 \$2 : New value (float or table);
#X text 683 249 \$2 : New value (float or table);
#X text 691 690 \$2 : overdamp value (float or table);
#X text 193 819 \$2 : damping (float or table);
#X text 195 761 \$2 : damping (float or table);
#X text 193 467 \$2 : New Id;
#X restore 12 397 pd dynamic settings ___;
#X text 158 397 To set the model parameters after creation.;
#N canvas 155 259 1157 693 masses_attributes 0;
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#X text 27 94 General :;
#X text 27 2 ATTRIBUTES Messages;
#X text 18 274 Lists :;
#X text 165 327 Output all masses x or y in a list on outlet No 1;
#X obj 551 26 cnv 15 170 330 empty empty empty 20 12 0 14 -233017 -66577
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#X obj 545 5 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X text 726 260 Output all forces applied on masses in a list on outlet
No 1;
#X text 725 55 Output all masses x or y in a table (\$1);
#X text 206 627 \$1 (optional): Masses Id;
#X text 769 383 \$2 (optional): Masses Id;
#X text 768 370 \$1 : table name;
#X obj 551 541 cnv 15 170 110 empty empty empty 20 12 0 14 -233017
-66577 0;
#X obj 549 519 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X text 730 548 output the closest mass;
#X text 552 519 others :;
#X text 764 564 \$1 : x -position;
#X text 764 579 \$2 : y -position;
#X text 764 594 \$3 : z -position;
#X text 764 606 \$4 : none or Id;
#X msg 9 125 massPos [\$1];
#X text 191 246 \$1 : id float or symbol of masses (nothing for all)
;
#X text 165 124 output a message for every masses :;
#X text 195 141 massPos symbolId number posX posY posZ;
#X text 165 164 output a message for every masses :;
#X text 195 181 massPos symbolId number speedX speedY speedZ;
#X text 165 201 output a message for every masses :;
#X msg 9 206 massForce [\$1];
#X text 195 218 massPos symbolId number forceX forceY forceZ;
#X msg 9 165 massSpeed [\$1];
#X msg 560 627 massDistance [\$1 [\$2]];
#X text 757 643 distance mass1 mass2 distanceX \, distanceY \, distanceZ
\, distance;
#X obj 548 410 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X text 768 453 \$1 : table name;
#X text 767 469 \$2 : masses name;
#X msg 8 306 massPosL [\$1];
#X msg 8 325 massPosXL [\$1];
#X msg 28 344 massPosYL [\$1];
#X msg 28 363 massPosZL [\$1];
#X msg 8 382 massesPosNormL [\$1];
#X msg 9 410 massSpeedL [\$1];
#X msg 10 429 massSpeedXL [\$1];
#X msg 29 447 massSpeedYL [\$1];
#X msg 30 466 massSpeedZL [\$1];
#X msg 10 486 massSpeedsNormL [\$1];
#X msg 13 513 massForceL [\$1];
#X msg 12 532 massForceXL [\$1];
#X msg 31 551 massForceYL [\$1];
#X msg 30 570 massForceZL [\$1];
#X msg 10 589 massForceNormL [\$1];
#X obj 549 431 cnv 15 170 80 empty empty empty 20 12 0 14 -233017 -66577
0;
#X msg 557 438 forceXT \$1 [\$2];
#X msg 578 458 forceYT \$1 [\$2];
#X msg 577 478 forceZT \$1 [\$2];
#X msg 555 38 massPosT \$1 [\$2];
#X msg 555 57 massPosXT \$1 [\$2];
#X msg 575 76 massPosYT \$1 [\$2];
#X msg 575 95 massPosZT \$1 [\$2];
#X msg 554 114 massPosNormT \$1 [\$2];
#X msg 556 152 massSpeedsT \$1 [\$2];
#X msg 556 171 massSpeedsXT \$1 [\$2];
#X msg 576 190 massSpeedsYT \$1 [\$2];
#X msg 576 209 massSpeedsZT \$1 [\$2];
#X msg 556 228 massSpeedsNormT \$1 [\$2];
#X msg 557 259 massForcesT \$1 [\$2];
#X msg 556 278 massForcesXT \$1 [\$2];
#X msg 576 297 massForcesYT \$1 [\$2];
#X msg 576 316 massForcesZT \$1 [\$2];
#X msg 556 335 massSpeedsNormT \$1 [\$2];
#X msg 558 549 closestMass \$1 \$2 \$3 [\$4];
#X text 548 5 tables out :;
#X text 551 410 Table in:;
#X text 15 30 The attributes messages ask the object to output some
of its internal parameters. They can be output as lists for positions
and forces of masses \, or directly send value to a table.;
#X text 163 379 Output all norm of position vectors (sqrt(x*x+y*y))
in a list on outlet No 1;
#X text 165 409 Output all mass speeds in a list on outlet No 1;
#X text 165 426 Output all mass speeds in x or y in a list on outlet
No 1;
#X text 175 484 Output all norm of speed vectors (sqrt(x*x+y*y)) in
a list on outlet No 1;
#X text 168 513 Output all forces applied to masses in a list on outlet
No 1;
#X text 168 534 Output all mass forces in x or y in a list on outlet
No 1;
#X text 170 591 Output all norm of force vectors (sqrt(x*x+y*y)) in
a list on outlet No 1;
#X text 727 35 Output all mass positions in a table (\$1);
#X text 730 112 Output all norm of position vectors (sqrt(x*x+y*y))
in a table (\$1);
#X text 730 149 Output all mass speeds in a list on outlet No 1;
#X text 730 168 Output all mass speeds in x or y in a list on outlet
No 1;
#X text 727 225 Output all norm of speed vectors (sqrt(x*x+y*y)) in
a list on outlet No 1;
#X text 726 278 Output all mass forces in x or y in a list on outlet
No 1;
#X text 166 307 Output all mass positions in a list on outlet No 1
;
#X text 732 335 Output all norm of forces vectors (sqrt(x*x+y*y)) in
a list on outlet No 1;
#X text 727 433 apply a force to masses. Force comes from a table;
#X text 725 628 output a series of messages :;
#X restore 12 417 pd masses_attributes __;
#N canvas 164 124 1167 755 links_attributes 0;
#X obj 5 3 cnv 15 550 15 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 8 260 cnv 15 170 450 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 2 239 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X text 18 2 ATTRIBUTES Messages;
#X text 15 239 Lists :;
#X obj 564 26 cnv 15 200 720 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 565 5 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X text 813 499 \$2 (optional): Masses Id;
#X text 812 486 \$1 : table name;
#X text 578 5 tables :;
#X text 187 290 Output all links x or y in a list on outlet No 1;
#X msg 9 290 linkPosXL [\$1];
#X msg 30 309 linkPosYL [\$1];
#X msg 30 328 linkPosZL [\$1];
#X msg 10 347 linkPosNormL [\$1];
#X msg 11 381 linkLengthL [\$1];
#X msg 11 400 linkLengthXL [\$1];
#X msg 31 419 linkLengthYL [\$1];
#X msg 32 438 linkLengthZL [\$1];
#X msg 14 494 linkPosSpeedL [\$1];
#X msg 14 513 linkPosSpeedXL [\$1];
#X msg 33 532 linkPosSpeedYL [\$1];
#X msg 33 551 linkPosSpeedsZL [\$1];
#X msg 12 570 linkPosSpeedNormL [\$1];
#X msg 12 610 linkLengthSpeedL [\$1];
#X msg 12 629 linkLengthSpeedXL [\$1];
#X msg 32 648 linkLengthSpeedYL [\$1];
#X msg 33 667 linkLengthSpeedZL [\$1];
#X msg 575 38 linkPosT \$1 [\$2];
#X msg 575 57 linkPosXT \$1 [\$2];
#X msg 595 75 linkPosYT \$1 [\$2];
#X msg 595 95 linkPosZT \$1 [\$2];
#X msg 574 114 linkPosNormT \$1 [\$2];
#X msg 576 152 linkLengthT \$1 [\$2];
#X msg 576 171 linkLengthXT \$1 [\$2];
#X msg 596 190 linkLengthYT \$1 [\$2];
#X msg 596 209 linkLengthZT \$1 [\$2];
#X msg 575 228 linkLengthNormT \$1 [\$2];
#X msg 576 259 linkPosSpeedT \$1 [\$2];
#X msg 576 278 linkPosSpeedXT \$1 [\$2];
#X msg 596 297 linkPosSpeedYT \$1 [\$2];
#X msg 596 316 linkPosSpeedZT \$1 [\$2];
#X msg 576 335 linkPosSpeedNormT \$1 [\$2];
#X msg 574 376 linkLengthSpeedT \$1 [\$2];
#X msg 573 395 linkLengthSpeedXT \$1 [\$2];
#X msg 594 414 linkLengthSpeedYT \$1 [\$2];
#X msg 595 433 linkLengthSpeedZT \$1 [\$2];
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0;
#X text 192 93 \$1 : id float or symbol of masses (nothing for all)
;
#X text 192 153 \$1 : id float or symbol of masses (nothing for all)
;
#X msg 12 96 linkPos [\$1];
#X msg 12 156 linkEnd [\$1];
#X text 222 130 linkPos symbolId number centerX centerY centerZ;
#X text 192 189 linkEnd symbolId number posX1 posY1 posZ1 posX2 posY2
posZ2;
#X obj 2 69 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
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#X text 15 69 generic :;
#X msg 10 457 linkLengthNormL [\$1];
#X msg 13 687 linkLengthSpeedNormL [\$1];
#X msg 575 453 linkLengthSpeedNormT \$1 [\$2];
#X msg 577 521 linkEndT \$1 [\$2];
#X text 796 549 table is posX1 posY1 posZ1 posX2 posY2 posZ2 ....;
#X msg 597 539 linkEnd1T \$1 [\$2];
#X msg 597 557 linkEnd2T \$1 [\$2];
#X msg 597 575 linkEndXT \$1 [\$2];
#X msg 597 594 linkEnd1XT \$1 [\$2];
#X msg 597 613 linkEnd2XT \$1 [\$2];
#X msg 597 631 linkEndYT \$1 [\$2];
#X msg 597 649 linkEnd1YT \$1 [\$2];
#X msg 597 667 linkEnd2YT \$1 [\$2];
#X msg 597 685 linkEndZT \$1 [\$2];
#X msg 597 703 linkEnd1ZT \$1 [\$2];
#X msg 597 721 linkEnd2ZT \$1 [\$2];
#X msg 9 271 linkPosL [\$1);
#X text 15 25 The attributes messages ask the object to output some
of its internal parameters. They can be output as lists for positions
and forces of links;
#X text 193 113 output a message for every link :;
#X text 193 173 output a message for every link :;
#X text 188 272 Output all link center positions in a list on outlet
No 1;
#X text 184 348 Output all norm of position vectors (sqrt(x*x+y*y+z*z))
in a list on outlet No 1;
#X text 185 380 Output all link lenghts in a list on outlet No 1;
#X text 185 398 Output all link lenghts in x or y in a list on outlet
No 1;
#X text 184 457 Output all norm of link lenght vectors (sqrt(x*x+y*y+z*z))
in a list on outlet No 1;
#X text 185 491 Output all link center speeds in a list on outlet No
1;
#X text 186 511 Output all link center speeds in x or y in a list on
outlet No 1;
#X text 185 568 Output all norm of link center speed vectors (sqrt(x*x+y*y+z*z))
in a list on outlet No 1;
#X text 188 609 Output all link lenght deformation speeds in a list
on outlet No 1;
#X text 187 632 Output all link lenght deformation speeds in x or y
in a list on outlet No 1;
#X text 194 685 Output all norm of link lenght deformation speed vectors
(sqrt(x*x+y*y+z*z)) in a list on outlet No 1;
#X text 774 35 Output all link center positions in a table [\$1];
#X text 774 56 Output all link center positions x or y in a table [\$1]
;
#X text 773 112 Output all norm of link center positions vectors (sqrt(x*x+y*y+z*z))
in a table [\$1];
#X text 774 151 Output all link lengths in a list on outlet No 1;
#X text 774 168 Output all link lengths in x or y in a list on outlet
No 1;
#X text 773 230 Output all norm of link length vectors (sqrt(x*x+y*y+z*z))
in a list on outlet No 1;
#X text 773 260 Output all link center speeds in a list on outlet No
1;
#X text 773 280 Output all link center speeds in x or y in a list on
outlet No 1;
#X text 772 338 Output all norm of link center speed vectors (sqrt(x*x+y*y+z*z))
in a list on outlet No 1;
#X text 772 373 Output all link lenght deformation speeds in a list
on outlet No 1;
#X text 773 397 Output all link lenght deformation speeds in x or y
in a list on outlet No 1;
#X text 776 455 Output all norm of link lenght deformation speed vectors
(sqrt(x*x+y*y+z*z)) in a list on outlet No 1;
#X text 770 521 Put position of the 2 link ends on a table [\$1] \,
filter on link id is possible;
#X restore 12 437 pd links_attributes ___;
#N canvas 26 50 901 640 More_Info 0;
#X text 96 12 pmpd : mass - spring - damper model;
#X obj 426 -5 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
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#X obj 426 294 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
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#N canvas 0 50 450 300 (subpatch) 0;
#X array rigidity1 4 float 1;
#A 0 -1 0 1 2;
#X array - 4 float 1;
#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
0 0.1 5;
#X obj 388 574 sqrt;
#X obj 316 651 tabwrite rigidity3;
#X obj 343 464 - 20;
#X obj 316 609 f;
#X obj 316 579 t b f;
#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;
#X obj 453 662 f;
#X obj 453 632 t b f;
#X obj 481 509 moses 0;
#X obj 481 532 * -1;
#X obj 480 612 * -1;
#X obj 528 622 *;
#X obj 480 591 *;
#X obj 525 590 t f f;
#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;
#X obj 631 315 f;
#X obj 648 394 + 1;
#X obj 632 367 t f f;
#X obj 375 333 f;
#X obj 375 360 moses 50.5;
#X obj 392 411 + 1;
#X obj 376 384 t f f;
#X obj 176 141 bng 15 250 50 0 empty empty empty 17 7 0 10 -262144
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#X msg 371 310 0;
#X msg 627 286 0;
#X obj 631 343 moses 100.5;
#X connect 0 0 1 0;
#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;
#X connect 28 1 26 0;
#X connect 29 0 26 0;
#X connect 29 1 23 1;
#X connect 30 0 25 0;
#X connect 31 0 32 0;
#X connect 31 1 28 0;
#X connect 32 0 29 0;
#X connect 32 1 26 0;
#X connect 34 0 44 0;
#X connect 35 0 34 0;
#X connect 36 0 35 0;
#X connect 36 1 27 0;
#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;
#X connect 40 1 11 0;
#X connect 41 0 22 0;
#X connect 42 0 37 0;
#X connect 43 0 34 0;
#X connect 44 0 36 0;
#X restore 27 304 pd figure;
#X text 105 375 Rigidity;
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#X coords 0 100 100 -100 200 150 1;
#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 restore 241 428 graph;
#X text 314 581 L0;
#X text 257 375 Rigidity with power = 1/2;
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#X coords 0 1000 50 -1000 200 150 1;
#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 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 496 206 x1x2 + y1y2 = 0;
#X text 28 41 pmpd is the 2D object of the pmpd objects collection.
;
#X text 27 155 Be careful : if masses are deleted \, list messages
won't work;
#X text 27 216 Rigidity \, damping and power are defined by the creation
messages. The lenght is initialised to the distance between the two
masses at creation.;
#X text 27 257 Links can be created in one shot between multiple masses
\, instead of creation number \, the masses linked are defined by their
Id.;
#X text 28 187 Links connect masses two by two. They've got 4 physical
parameters : length \, rigidity \, damping and power.;
#X text 27 60 It is designed to implement particle physical models
in PD.The model is based on a two element type : mass and link. The
pmpd masses are the principal objects of the model. They've got only
one physical parameter \, the value of their mass. They can be mobile
or fixed \, in this case forces applied to them automatically \, by
links \, or manually \, by messages \, don't do anything.;
#X text 495 169 For normal vectors \, the direction is calculated using
the scalar product :;
#X text 495 248 You can build specific links using different link messages
defining the characteristic step by step.;
#X connect 1 0 2 0;
#X restore 14 671 pd More_Info;
#X obj 225 247 print;
#X obj 102 222 route massPos linkEnd;
#X obj 318 186 loadbang;
#N canvas 780 280 450 300 gemwin 0;
#X obj 144 24 inlet;
#X obj 144 46 sel 1 0;
#X obj 144 128 gemwin;
#X msg 164 96 0 \, destroy;
#X msg 144 71 reset \, create \, 1;
#X connect 0 0 1 0;
#X connect 1 0 4 0;
#X connect 1 1 3 0;
#X connect 3 0 2 0;
#X connect 4 0 2 0;
#X restore 317 157 pd gemwin;
#X obj 317 134 tgl 15 0 empty empty empty 17 7 0 10 -262144 -1 -1 0
1;
#X obj 17 133 bng 15 250 50 0 empty empty reset 17 7 0 10 -262144 -1
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#X text 416 133 1 Create window;
#X msg 318 211 forceZ 1 30;
#X msg 318 233 forceX mob 10;
#N canvas 56 316 735 607 tests 0;
#X text 182 214 Id \$1 / posXSup \$1 / posXInf \$1 / posYSup \$1 /
posYInf \$1 / posZSup \$1 / posZInf \$1 / speedXSup \$1 / speedXInf
\$1 / speedYSup \$1 / speedYInf \$1 / speedZSup \$1 / speedZInf \$1
/ speedSup \$1 / speedInf \$1 / distanceCircleSup \$1 \$2 \$3 \$4 (centerX
\, centerY \, centerZ \, distance) / distanceCircleInf \$1 \$2 \$3
\$4 (centerX \, centerY \, centerZ \, distance) / massSup \$1 / massInf
\$1 / forceSup \$1 / forceInf \$1 / forceXSup \$1 / forceXInf \$1 /
forceYSup \$1 / forceYInf \$1 / forceZSup \$1 / forceZInf \$1;
#X text 183 522 Id \$1 / forceSup \$1 / forceInf \$1 / forceXSup \$1
/ forceXInf \$1 / forceYSup \$1 / forceYInf \$1 / forceZSup \$1 / forceZInf
\$1 / lengthSup \$1 / lengthInf \$1 / lengthXSup \$1 / lengthXInf \$1
/ lengthYSup \$1 / lengthYInf \$1 / lengthZSup \$1 / lengthZInf \$1
/ connectedTo \$1 (symbol or float);
#X obj 5 3 cnv 15 700 15 empty empty empty 20 12 0 14 -233017 -66577
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#X text 17 2 TESTS Messages;
#X obj 5 45 cnv 15 330 150 empty empty empty 20 12 0 14 -233017 -66577
0;
#X msg 16 50 testMass testId filterId filter_parametter ...;
#X text 377 69 testMass testId mass_number;
#X text 380 130 testMassL filterID 0/1 0/1 0/1 ...;
#X msg 15 155 testMassT tab_name filterId filter_parametter ...;
#X msg 14 99 testMassL testId filterId filter_parametter ....;
#X text 52 213 masses test can be :;
#X text 339 47 output a message for every mass that passes all the
tests:;
#X text 344 99 output a list with 0 or 1 for every mass depending on
whether it passes all tests or not;
#X text 341 158 Put in a table 0 or 1 depending on whether masses pass
all tests;
#X obj 4 24 cnv 15 700 15 empty empty empty 20 12 0 14 -158509 -66577
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#X text 17 24 masses :;
#X obj 9 334 cnv 15 700 15 empty empty empty 20 12 0 14 -158509 -66577
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#X text 22 334 links :;
#X obj 10 355 cnv 15 330 150 empty empty empty 20 12 0 14 -233017 -66577
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#X msg 17 364 testLink testId filterId filter_parametter ...;
#X msg 16 414 testLinkL testId filterId filter_parametter ....;
#X msg 17 465 testLinkT tab_name filterId filter_parametter ...;
#X text 377 384 testLink testId mass_number;
#X text 377 449 testLinkL filterID 0/1 0/1 0/1 ...;
#X text 58 523 links test can be :;
#X text 345 364 output a message for every link that passes all the
tests:;
#X text 346 417 output a list with 0 or 1 for every link depending
on whether it passes all tests or not;
#X text 346 468 Put in a table 0 or 1 depending on whether links pass
all tests;
#X restore 12 457 pd tests ______________;
#X text 158 458 To test specific parametters;
#N canvas 403 545 627 463 interactors 0;
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#X msg 20 -75 iCylinder \$1 \$2 \$3 \$4 \$5 \$6 \$7 \$8 \$9 [\$10 [\$11
[\$12 [\$13 [\$14]]]]];
#X text 54 -39 \$1 : mess Id (float or symbol) to apply this interactor
;
#X text 54 -26 \$2 \$3 \$4 : center of the cylinder;
#X text 54 -12 \$5 \$6 \$7 : center vector of the cylinder;
#X text 54 12 \$9 : K;
#X text 53 25 \$10 : power of the force;
#X text 53 37 \$11 : K tengential;
#X text 53 49 \$12 : power of the tengential force;
#X text 53 61 \$13 : minimum radius of the interactor;
#X text 52 73 \$14 : maximum radius of the interactor;
#X text 53 153 \$5 \$6 \$7 : one point of the plane;
#X text 53 167 \$8 : K;
#X text 53 181 \$9 : power of the force;
#X text 52 195 \$10 : minimum profund of the interactor;
#X text 52 210 \$11 : maximum profund of the interactor;
#X msg 21 101 iPlane \$1 \$2 \$3 \$4 \$5 \$6 \$7 \$8 [\$9 [\$10 [\$11]]]
;
#X text 53 252 \$1 : mess Id (float or symbol) to apply this interactor
;
#X text 53 265 \$2 \$3 \$4 : center of the sphere;
#X text 54 0 \$8 : cylinder radius;
#X text 53 280 \$5 : cylinder radius;
#X text 53 294 \$6 : K;
#X text 53 309 \$7 : power of the force;
#X text 53 323 \$8 : minimum radius of the interactor;
#X text 52 337 \$9 : maximum radius of the interactor;
#X msg 22 235 iSphere \$1 \$2 \$3 \$4 \$5 \$6 [\$7 [\$8 [\$9]]];
#X text 54 125 \$1 : mass Id (float or symbol) to apply this interactor
;
#X text 378 -71 add a cylindrer interactor to masses;
#X text 377 100 add a plane interactor to masses;
#X text 375 231 add a dpherical interactor to masses;
#X text 54 138 \$2 \$3 \$4 : vector perpendicular to the plane;
#X restore 12 476 pd interactors ________;
#N canvas 290 156 605 507 statistics 0;
#X obj -61 51 cnv 15 150 170 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj -61 31 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X text 130 212 \$1 : none or Id;
#X msg -56 64 massPosMean;
#X msg -56 87 massPosStd \$1;
#X msg -55 116 massForceMean;
#X msg -55 144 massForceStd \$1;
#X msg -54 168 massSpeedMean;
#X msg -55 193 massSpeedStd \$1;
#X text 95 64 output the average position of masses and center distance
;
#X text 95 169 output the average velocity of masses (X \, Y \, Z \,
Norm);
#X text -48 31 masses :;
#X obj -61 251 cnv 15 150 240 empty empty empty 20 12 0 14 -233017
-66577 0;
#X obj -61 231 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X msg -53 288 linkPosStd \$1;
#X msg -53 341 linkLengthStd \$1;
#X msg -53 398 linkPosSpeedStd \$1;
#X text 129 477 \$1 : none or Id;
#X msg -52 462 linkLengthSpeedStd \$1;
#X msg -53 258 linkPosMean \$1;
#X msg -53 314 linkLengthMean \$1;
#X msg -53 368 linkPosSpeedMean \$1;
#X msg -53 432 linkLengthSpeedMean \$1;
#X text 98 366 output the average center position velocity of links
(X \, Y \, Z \, Norm);
#X text -48 231 links :;
#X text 95 86 output the standard deviation of mass positions and center
distance;
#X text 96 113 output the average force applied to masses (X \, Y \,
Z and Norm);
#X text 96 143 output the standard deviation of mass forces;
#X text 95 193 output the standard deviation of mass velocities;
#X text 98 258 output the average position of link centers (X \, Y
\, Z \, center disdance);
#X text 99 290 output the standard deviation of link center positions
;
#X text 98 315 output the average links lengths (X \, Y \, Z \, L)
;
#X text 99 340 output the standard deviation of link lengths;
#X text 98 398 output the standard deviation of link center position
velocities;
#X text 98 433 output the average change in link lengths (X \, Y \,
Z \, Norm);
#X text 101 461 output the standard deviation of link lengths change
;
#X obj -61 9 cnv 15 550 15 empty empty empty 20 12 0 14 -233017 -66577
0;
#X text -49 8 STATISTICS Messages;
#X restore 13 496 pd statistics _________;
#X text 158 477 To send complex forces;
#X text 157 498 To get statistical data of the simulation;
#X text 101 308 Bang - A bang at the left inlet computes the new model
state based on previous time step.;
#X text 135 98 you need GEM for this example.;
#X obj 18 98 declare -lib Gem;
#X text 158 418 To get the model parameters (masses).;
#X text 158 438 To get the model parameters (links).;
#X connect 32 0 37 0;
#X connect 35 0 47 0;
#X connect 37 0 31 0;
#X connect 47 0 36 0;
#X connect 47 1 36 1;
#X connect 47 2 46 0;
#X connect 48 0 53 0;
#X connect 50 0 49 0;
#X connect 51 0 30 0;
#X connect 53 0 33 0;
#X connect 54 0 33 0;