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#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.;
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#X msg 55 419 \; rigidity2 resize 101 \; rigidity2 xticks 1 10 5 \;
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#X text 125 307 Rigidity;
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#X text 657 482 L0;
#X text 569 304 Rigidity with Lmin and Lmax;
#X text 673 482 Lmin;
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#X text 126 505 Rigidity with power = 1/2;
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#X text 639 684 L0;
#X text 571 508 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.
;
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#X restore 16 673 pd More_Info;
#X text 12 76 Examples:;
#X text 9 369 Inlets:;
#X text 19 388 - Left:;
#X text 10 526 Arguments:;
#X text 11 562 Outlets:;
#X text 19 617 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 pmpd3d;
#X restore 122 673 pd Related_Objects;
#N canvas 257 262 759 345 init 0;
#X obj 89 215 t a;
#X obj 89 33 loadbang;
#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 143 100 mass fix 0 10 0 0;
#X msg 89 187 Xmax 4 \, Xmin -4 \, Ymax 4 \, Ymin -4;
#X msg 125 120 mass mob 1 100 0 -2 \, mass mob 1 100 2 0 \, mass mob
1 100 0 2 \, mass mob 1 100 -2 0;
#X msg 107 161 link souple fix mob 10 10 \, link souple mob mob 10
10;
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#X restore 17 156 pd init;
#X obj 18 321 s \$0-out;
#X obj 18 272 r \$0-in;
#X obj 393 317 s \$0-in;
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#X obj 27 29 inlet;
#X obj 27 127 s \$0-in;
#X msg 27 96 bang \, get massesPos \, get linksPos;
#X obj 27 66 gemhead;
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#X restore 17 209 pd compute;
#X obj 17 181 tgl 15 0 empty empty ON/OFF 25 10 1 10 -262144 -1 -1
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#X text 101 388 Bang - A bang at the left inlet compute the new model
state based on previous instant.;
#X text 158 478 To set the model parameters after creation.;
#X text 158 456 To create the model masses and links.;
#X text 158 501 To get the model parameters;
#N canvas 41 48 967 626 creation________ 0;
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#X text 7 2 CREATION Messages;
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#X msg 32 104 reset;
#X text 202 167 Add a mass;
#X text 57 191 \$1 : Id (symbol);
#X text 57 211 \$2 : fixed or mobile (0/1);
#X text 57 229 \$3 : mass;
#X text 7 137 Masses :;
#X text 7 74 Reset :;
#X text 129 105 Delete all masses \, links and internal variables;
#X text 6 351 Links :;
#X text 49 406 \$1 : Id (symbol);
#X text 49 459 \$4 : rigidity;
#X text 49 406 \$1 : Id (symbol);
#X text 49 459 \$4 : rigidity;
#X text 49 424 \$2 : creation No/Id of mass1;
#X text 49 442 \$3 : creation No/Id of mass2;
#X text 266 384 Add link(s);
#X text 49 477 \$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 msg 30 384 link \$1 \$2 \$3 \$4 \$5 (\$6 \$7 \$8);
#X msg 32 167 mass \$1 \$2 \$3 \$4 \$5;
#X text 57 247 \$4 \, \$5 : initial position;
#X text 46 495 (\$6) : Power of the rigidity distance;
#X text 46 514 (\$7) : minimum lenght of link;
#X text 46 531 (\$8) : maximum lenght of link;
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#X text 527 180 \$1 : Id (symbol);
#X text 527 233 \$4 : rigidity;
#X text 527 180 \$1 : Id (symbol);
#X text 527 233 \$4 : rigidity;
#X text 527 198 \$2 : creation No/Id of mass1;
#X text 527 216 \$3 : creation No/Id of mass2;
#X text 527 251 \$5 : damping;
#X text 790 152 Add tangential link(s);
#X text 524 289 (\$8) : Power of the rigidity distance;
#X text 524 308 (\$9) : minimum lenght of link;
#X text 524 325 (\$10) : maximum lenght of link;
#X text 506 102 In 2D (and 3D) there are two specials links : oriented
links. They works as general links excepts their calculation is made
following a vector.;
#X text 526 270 \$6 \, \$7 : tangential vector (x \, y);
#X text 504 75 Oriented links :;
#X msg 507 153 tLink \$1 \$2 \$3 \$4 \$5 \$6 \$7 (\$8 \$9 \$10);
#X msg 502 406 tabLink \$1 \$2 \$3 \$4 \$5 \$6 \$7;
#X text 532 453 \$1 : Id (symbol);
#X text 532 453 \$1 : Id (symbol);
#X text 532 471 \$2 : creation No/Id of mass1;
#X text 532 489 \$3 : creation No/Id of mass2;
#X text 527 434 Add non linear link(s);
#X text 530 506 \$4 : table name for the rigidity;
#X text 530 524 \$5 : length of the table;
#X text 530 542 \$6 : table name for the damping;
#X text 529 561 \$7 : length of the table;
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#X text 497 351 Table links :;
#X connect 29 0 31 0;
#X restore 12 457 pd creation________;
#X text 103 542 None;
#X text 18 583 - Left:;
#X text 101 584 Outputs the model parameters asked with the attributes
messages.;
#X text 101 420 Messages - Different messages are used to control the
pmpd object. They are of three types :;
#X text 9 639 CATEGORY: control;
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#X text 7 62 Masses :;
#X text 570 62 Links :;
#X text 7 2 DYNAMIC SETTINGS Messages;
#X msg 31 116 posX \$1 \$2;
#X text 191 178 Add force on mass(es);
#X msg 30 193 forceX \$1 \$2;
#X text 190 114 \$1 : Id (symbol) or No;
#X text 193 195 \$1 : Id (symbol) or No;
#X msg 31 285 Xmin \$1;
#X msg 90 285 Xmax \$1;
#X msg 29 334 setMobile \$1;
#X msg 29 355 setFixed \$1;
#X text 190 96 Set position of fixed mass(es);
#X text 177 268 Set minimimum and maximum position of all masses;
#X text 188 334 Set mass to mobile or fixed;
#X msg 593 150 setD \$1 \$2;
#X text 748 136 \$2 : New value;
#X msg 593 99 setK \$1 \$2;
#X text 748 192 \$2 : New value;
#X text 748 245 \$2 : New value;
#X text 742 100 Set rigidity of link(s);
#X text 742 156 Set damping of link(s);
#X msg 593 205 setL \$1 \$2;
#X text 742 209 Set initial lenght of link(s);
#X text 748 118 \$1 : Id (symbol) or No;
#X text 748 174 \$1 : Id (symbol) or No;
#X text 748 227 \$1 : Id (symbol) or No;
#X text 191 351 \$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 29 391 grabMass \$1 \$2 \$3;
#X text 186 391 Grab nearest mass;
#X text 191 407 \$1 \, \$2 : position;
#X text 190 424 \$3 : grab or not (0/1);
#X msg 31 137 posY \$1 \$2;
#X msg 30 214 forceY \$1 \$2;
#X msg 31 307 Ymin \$1;
#X msg 90 307 Ymax \$1;
#X text 191 488 \$2 : New Id;
#X msg 30 456 setMassId \$1 \$2;
#X text 191 454 Change the Id of a mass;
#X text 192 471 \$1 : mass (number or Id);
#X msg 23 583 setSpeed \$1 \$2;
#X text 186 535 \$1 : Id (symbol) or No;
#X text 183 518 set force on mass(es);
#X text 185 602 \$1 : Id (symbol) or No;
#X text 182 585 set speed of a mass(es);
#X text 184 663 \$1 : Id (symbol) or No;
#X text 181 646 add pos of a mass(es);
#X msg 23 737 grabMass \$1 \$2 \$3;
#X text 183 707 grab a mass \, and move it;
#X text 185 729 \$1 : mass number;
#X text 185 745 \$2 : position;
#X text 185 761 \$3 : grab or not (0 or 1);
#X msg 24 515 setForce \$1 \$2 \$3;
#X text 186 553 \$2 / \$3 : Value;
#X msg 24 535 setForceX \$1 \$2;
#X msg 24 554 setForceY \$1 \$2;
#X msg 31 96 pos \$1 \$2 \$3;
#X text 190 132 \$2 / \$3 : Value;
#X msg 30 173 force \$1 \$2 \$3;
#X text 191 213 \$2 / \$3 : Value;
#X text 180 284 \$1 / \$2 : Value;
#X msg 27 805 setDEnv \$1;
#X text 178 798 Change environement damping;
#X text 190 815 \$1 : damping;
#X msg 23 602 setSpeedX \$1 \$2;
#X msg 23 621 setSpeedY \$1 \$2;
#X text 185 619 \$2 / \$3 : Value;
#X text 185 681 \$2 / \$3 : Value;
#X msg 24 646 addPos \$1 \$2 \$3;
#X msg 588 280 setLinkId \$1 \$2;
#X text 742 281 Change the Id of a link;
#X text 743 298 \$1 : link (number or Id);
#X text 746 315 \$2 : New Id;
#X msg 591 353 setLKTab \$1 \$2;
#X text 750 353 change the table (K) size of a non linear link;
#X text 751 373 \$1 : link (number or Id);
#X text 752 390 \$2 : New KL;
#X text 751 435 \$1 : link (number or Id);
#X msg 591 415 setLDTab \$1 \$2;
#X text 750 415 change the table (D) size of a non linear link;
#X text 752 452 \$2 : New DL;
#X msg 31 245 min \$1 \$2;
#X msg 31 265 max \$1 \$2;
#X msg 24 665 addPosX \$1 \$2;
#X msg 24 685 addPosY \$1 \$2;
#X restore 12 478 pd dynamic settings;
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#X text 7 74 General :;
#X text 7 2 ATTRIBUTES Messages;
#X text 7 137 Lists :;
#X text 136 104 Get infos on all masses and links on right outlet;
#X text 170 170 Output all masses positions in a list on outlet No
1;
#X text 746 438 Get specific attribute on specific element;
#X msg 626 436 get \$1 (\$2);
#X text 613 398 Specific :;
#X text 746 533 The get message return the asked attribute preceded
by an identifier and the creation No of the element. The identifier
is made of the asked parameter and the way you asked for it.;
#X text 747 609 message;
#X text 987 609 response;
#X text 746 590 Examples with 3 masses numbered 0 \, 1 and 2 and named
mas:;
#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 172 399 Output all forces applied on masses in a list on outlet
No 1;
#X text 746 500 (\$2) : - If not defined all the attributes are send
for all the elements. - Ids or/and creations No;
#X text 170 202 Output all masses x or y in a list on outlet No 1;
#X text 780 628 [get massesPos( -----> [massesPos 0 x0 y0(;
#X text 766 678 [get massesPos 1( -----> [massesPosNo 1 x1 y1(;
#X text 752 699 [get massesPos mas( -----> [massesPosId 0 x0 y0(;
#X msg 33 104 print;
#X text 170 230 Output all norm of position vector (sqrt(x*x+y*y))
in a list on outlet No 1;
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#X text 171 284 Output all masses speeds in a list on outlet No 1;
#X text 172 316 Output all masses speeds in x or y in a list on outlet
No 1;
#X text 171 344 Output all norm of speed vector (sqrt(x*x+y*y)) in
a list on outlet No 1;
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#X text 175 429 Output all masses forces in x or y in a list on outlet
No 1;
#X text 171 457 Output all norm of forces vector (sqrt(x*x+y*y)) in
a list on outlet No 1;
#X text 745 457 \$1 : Attribute type ( massesPos / massesPosName /
massesSpeeds / massesSpeedsName / massesForces / massesForcesName /
linksPos / linksPosName );
#X text 752 750 [get massesPosName( -----> [massesPosName mas x0 y0(
;
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#X text 796 264 Output all forces applied on masses in a list on outlet
No 1;
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#X text 795 149 Output all masses speeds in a list on outlet No 1;
#X text 796 181 Output all masses speeds in x or y in a list on outlet
No 1;
#X text 801 209 Output all norm of speed vector (sqrt(x*x+y*y)) in
a list on outlet No 1;
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#X text 799 294 Output all masses forces in x or y in a list on outlet
No 1;
#X text 804 322 Output all norm of forces vector (sqrt(x*x+y*y)) in
a list on outlet No 1;
#X msg 12 170 massesPosL (\$1);
#X msg 12 190 massesPosXL (\$1);
#X msg 12 210 massesPosYL (\$1);
#X msg 12 230 massesPosNormL (\$1);
#X msg 13 284 massesSpeedsL (\$1);
#X msg 13 343 massesSpeedsNormL (\$1);
#X msg 14 397 massesForcesL (\$1);
#X msg 12 170 massesPosL (\$1);
#X msg 13 456 massesSpeedsNormL (\$1);
#X msg 615 38 massesPosT \$1 (\$2);
#X msg 615 58 massesPosXT \$1 (\$2);
#X msg 615 79 massesPosYT \$1 (\$2);
#X msg 615 98 massesPosNormT \$1 (\$2);
#X msg 616 152 massesSpeedsT \$1 (\$2);
#X msg 616 213 massesSpeedsNormT \$1 (\$2);
#X msg 617 265 massesForcesT \$1 (\$2);
#X msg 616 324 massesSpeedsNormT \$1 (\$2);
#X text 794 35 Output all masses positions in a table (\$1);
#X text 794 67 Output all masses x or y in a table (\$1);
#X text 794 95 Output all norm of position vector (sqrt(x*x+y*y)) in
a table (\$1);
#X text 174 498 \$1 (optional): Masses Id;
#X text 815 376 \$2 (optional): Masses Id;
#X text 814 363 \$1 : table name;
#X obj 17 544 cnv 15 150 270 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 11 524 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X text 14 524 statistics :;
#X msg 22 557 massesPosMean;
#X text 177 573 \$1 : none or Id;
#X msg 23 595 massesPosStd \$1;
#X text 179 610 \$1 : none or Id;
#X text 173 557 output the average position of masses;
#X text 174 594 output the standard deviation of masses position;
#X text 177 660 \$1 : none or Id;
#X text 179 697 \$1 : none or Id;
#X text 173 644 output the average position of masses;
#X text 174 681 output the standard deviation of masses position;
#X text 177 745 \$1 : none or Id;
#X text 178 782 \$1 : none or Id;
#X text 173 729 output the average position of masses;
#X text 173 766 output the standard deviation of masses position;
#X msg 22 682 massesForcesStd \$1;
#X msg 22 644 massesForcesMean;
#X msg 23 731 massesSpeedsMean;
#X msg 22 767 massesSpeedsStd \$1;
#X text 608 5 tables :;
#X msg 14 304 massesSpeedsXL (\$1);
#X msg 13 417 massesForcesXL (\$1);
#X msg 616 173 massesSpeedsXT \$1 (\$2);
#X msg 616 286 massesForcesXT \$1 (\$2);
#X msg 13 324 massesSpeedsYL (\$1);
#X msg 13 437 massesForcesYL (\$1);
#X msg 616 192 massesSpeedsYT \$1 (\$2);
#X msg 617 305 massesForcesYT \$1 (\$2);
#X text 941 642 [massesPos 1 x2 y1(;
#X text 941 657 [massesPos 2 x1 y2(;
#X text 941 714 [massesPosId 1 x2 y1(;
#X text 941 729 [massesPosId 2 x1 y2(;
#X text 942 765 [massesPosName mas x1 y1(;
#X text 942 780 [massesPosName mas x2 y2(;
#X restore 12 499 pd attributes______;
#X text 9 649 KEYWORDS: physical model mass spring damper link;
#X text 12 8 HELP: pmpd2d;
#X obj 157 48 pmpd2d;
#X text 112 618 01_pmpd2dtest.pd;
#X obj 18 296 pmpd2d;
#N canvas 731 296 450 300 gemmouse 0;
#X obj 189 77 gemmouse;
#X obj 189 184 pack f f;
#X obj 189 218 spigot;
#X obj 109 243 outlet;
#X obj 109 36 inlet;
#X obj 109 98 t b;
#X obj 238 131 + 4;
#X msg 57 182 posX fix \$1;
#X msg 57 203 posY fix \$2;
#X obj 189 108 / 62.5;
#X obj 237 107 / -62.5;
#X obj 189 131 - 4;
#X obj 109 125 list 0 0;
#X connect 0 0 9 0;
#X connect 0 1 10 0;
#X connect 0 2 2 1;
#X connect 1 0 2 0;
#X connect 2 0 12 1;
#X connect 4 0 5 0;
#X connect 5 0 12 0;
#X connect 6 0 1 1;
#X connect 7 0 3 0;
#X connect 8 0 3 0;
#X connect 9 0 11 0;
#X connect 10 0 6 0;
#X connect 11 0 1 0;
#X connect 12 0 7 0;
#X connect 12 0 8 0;
#X restore 393 295 pd gemmouse;
#X obj 393 274 gemhead;
#X obj 346 216 gemwin;
#X msg 357 193 0 \, destroy;
#N canvas 472 258 550 319 gemrender 0;
#X obj 48 203 translateXYZ;
#X obj 48 229 sphere 0.1;
#X obj 127 24 inlet;
#X obj 360 32 inlet;
#X obj 275 232 curve 2;
#X msg 431 81 \$4 \$5 0;
#X msg 359 77 \$2 \$3 0;
#X obj 359 105 t b a;
#X obj 127 62 unpack f f f;
#X obj 166 88 t b f;
#X msg 48 110 0;
#X obj 48 77 loadbang;
#X obj 48 137 gemhead;
#X msg 275 160 0;
#X obj 275 127 loadbang;
#X obj 275 187 gemhead;
#X connect 0 0 1 0;
#X connect 2 0 8 0;
#X connect 3 0 5 0;
#X connect 3 0 6 0;
#X connect 5 0 4 2;
#X connect 6 0 7 0;
#X connect 7 0 15 0;
#X connect 7 1 4 1;
#X connect 8 1 9 0;
#X connect 8 2 0 2;
#X connect 9 0 12 0;
#X connect 9 1 0 1;
#X connect 10 0 12 0;
#X connect 11 0 10 0;
#X connect 12 0 0 0;
#X connect 13 0 15 0;
#X connect 14 0 13 0;
#X connect 15 0 4 0;
#X restore 172 320 pd gemrender;
#X msg 346 129 reset \, create \, 1;
#X text 135 98 Sorry \, you need GEM for this example...;
#X text 169 132 1 Create window -->;
#X text 169 163 2 Drag the structure with the mouse;
#X text 169 195 3 Destroy the window -->;
#X obj 172 294 route massesPos linksPosNo;
#X text 11 19 DESCRIPTION: Physical modeling for Pd in 2d;
#X text 265 669 - Cyrille Henry 2011;
#X text 265 681 based on MSD by Nicolas Montgermont \, 2005;
#X connect 21 0 43 0;
#X connect 24 0 23 0;
#X connect 25 0 54 0;
#X connect 26 0 19 0;
#X connect 43 0 20 0;
#X connect 44 0 22 0;
#X connect 45 0 44 0;
#X connect 47 0 46 0;
#X connect 49 0 46 0;
#X connect 54 0 48 0;
#X connect 54 1 48 1;