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-#X text 96 12 MSD : 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
-msd 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 text 569 304 Rigidity with Lmin and Lmax;
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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 MSD is the 2D object of the msd objects collection.;
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-#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 19 729 See Also:;
-#X text 74 48 Full Name:;
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-#X text 5 10 Externals and libraries;
-#X obj 141 38 msd3D;
-#X obj 44 37 msd;
-#X restore 122 785 pd Related_Objects;
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-#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 connect 3 0 7 0;
-#X connect 3 1 9 0;
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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;
-#N canvas 565 515 355 193 compute 0;
-#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;
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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;
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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 msg 32 286 deleteMass \$1;
-#X text 194 288 Delete a mass and associated links;
-#X text 54 309 \$1 : Creation No of 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 msg 30 555 deleteLink \$1;
-#X text 166 557 Delete a link;
-#X text 47 578 \$1 : Creation No of link;
-#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 526 270 \$6 \, \$7 : tangential vector;
-#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 528 382 \$1 : Id (symbol);
-#X text 528 435 \$4 : rigidity;
-#X text 528 382 \$1 : Id (symbol);
-#X text 528 435 \$4 : rigidity;
-#X text 528 400 \$2 : creation No/Id of mass1;
-#X text 528 418 \$3 : creation No/Id of mass2;
-#X text 528 453 \$5 : damping;
-#X text 525 491 (\$8) : Power of the rigidity distance;
-#X text 525 510 (\$9) : minimum lenght of link;
-#X text 525 527 (\$10) : maximum lenght of link;
-#X msg 508 153 tLink \$1 \$2 \$3 \$4 \$5 \$6 \$7 (\$8 \$9 \$10);
-#X msg 511 358 nLink \$1 \$2 \$3 \$4 \$5 \$6 \$7 (\$8 \$9 \$10);
-#X text 527 472 \$6 \, \$7 : normal vector;
-#X text 504 75 Oriented links :;
-#X text 793 357 Add normal link(s);
-#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 connect 35 0 37 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.;
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-#X text 17 628 - Right:;
-#X text 100 629 Outputs information on model when creation messages
-are send or with the special message [infosL( which dump the complete
-state of the model.;
-#X text 101 420 Messages - Different messages are used to control the
-msd object. They are of three types :;
-#X text 9 751 CATEGORY: control;
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-#X text 7 62 Masses :;
-#X text 6 378 Links :;
-#X text 7 2 DYNAMIC SETTINGS Messages;
-#X msg 31 96 posX \$1 \$2;
-#X text 190 144 Add force on mass(es);
-#X msg 30 143 forceX \$1 \$2;
-#X text 192 216 \$1 : Value;
-#X text 193 107 \$1 : Id (symbol) or No;
-#X text 193 161 \$1 : Id (symbol) or No;
-#X msg 30 195 Xmin \$1;
-#X msg 89 195 Xmax \$1;
-#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 189 200 Set minimimum and maximum position of all masses;
-#X text 188 244 Set mass to mobile or fixed;
-#X msg 29 466 setD \$1 \$2;
-#X text 184 452 \$2 : New value;
-#X msg 29 415 setK \$1 \$2;
-#X text 184 508 \$2 : New value;
-#X text 184 561 \$2 : New value;
-#X text 178 416 Set rigidity of link(s);
-#X text 178 472 Set damping of link(s);
-#X msg 29 521 setL \$1 \$2;
-#X text 178 525 Set initial lenght of link(s);
-#X text 184 434 \$1 : Id (symbol) or No;
-#X text 184 490 \$1 : Id (symbol) or No;
-#X text 184 543 \$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 29 301 grabMass \$1 \$2 \$3;
-#X text 186 301 Grab nearest mass;
-#X text 191 317 \$1 \, \$2 : position;
-#X text 190 334 \$3 : grab or not (0/1);
-#X msg 31 117 posY \$1 \$2;
-#X msg 30 164 forceY \$1 \$2;
-#X msg 30 217 Ymin \$1;
-#X msg 89 217 Ymax \$1;
-#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 msg 33 104 infosL;
-#X text 136 104 Get infos on all masses and links on right outlet;
-#X msg 32 170 massesPosL;
-#X msg 32 239 massesForcesL;
-#X text 170 170 Output all masses positions in a list on outlet No
-1;
-#X text 139 321 Get specific attribute on specific element;
-#X msg 19 319 get \$1 (\$2);
-#X text 6 281 Specific :;
-#X text 139 416 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 140 492 message;
-#X text 380 492 response;
-#X text 139 473 Examples with 3 masses numbered 0 \, 1 and 2 and named
-mas:;
-#X text 145 582 [get massesPos mas( -----> [massesPosId 0 x0(;
-#X text 334 597 [massesPosId 2 x2(;
-#X text 334 612 [massesPosId 1 x1(;
-#X text 173 511 [get massesPos( -----> [massesPos 0 x0(;
-#X text 334 525 [massesPos 2 x2(;
-#X text 334 539 [massesPos 1 x1(;
-#X text 159 561 [get massesPos 1( -----> [massesPosNo 1 x1(;
-#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 169 240 Output all forces applied on masses in a list on outlet
-No 1;
-#X text 139 383 (\$2) : - If not defined all the attributes are send
-for all the elements. - Ids or/and creations No;
-#X msg 32 192 massesPosXL;
-#X text 170 202 Output all masses x or y in a list on outlet No 1;
-#X msg 32 213 massesPosYL;
-#X text 139 346 \$1 : Attribute type ( massesPos / massesSpeeds / massesForces
-/ linksPos / linksLenghts);
-#X restore 12 499 pd attributes______;
-#X text 9 761 KEYWORDS: physical model mass spring damper link;
-#X text 267 786 - Nicolas Montgermont \, May 12 \, 2005;
-#X text 12 8 HELP: msd2D;
-#X text 12 18 DESCRIPTION: Mass spring damper physical modeling in
-2D.;
-#X obj 157 48 msd2D;
-#X text 257 730 editor/msd2d-editor.pd;
-#X text 112 730 01_msd2Dtest.pd;
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-#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 obj 109 125 l 0 0;
-#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;
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-#X connect 6 0 1 1;
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-#X connect 8 0 3 0;
-#X connect 9 0 3 0;
-#X connect 10 0 12 0;
-#X connect 11 0 6 0;
-#X connect 12 0 1 0;
-#X restore 393 295 pd gemmouse;
-#X obj 393 274 gemhead;
-#X obj 336 216 gemwin;
-#X msg 336 194 0 \, destroy;
-#N canvas 472 258 550 319 gemrender 0;
-#X obj 48 203 translateXYZ;
-#X obj 48 229 sphere 0.1;
-#X obj 48 177 separator;
-#X obj 48 153 any;
-#X obj 64 114 gemhead 45;
-#X obj 127 24 inlet;
-#X obj 271 51 inlet;
-#X obj 192 206 separator;
-#X obj 192 182 any;
-#X obj 192 251 curve 2;
-#X obj 208 143 gemhead 45;
-#X msg 348 100 \$4 \$5 0;
-#X msg 276 96 \$2 \$3 0;
-#X obj 250 170 t b a;
-#X obj 127 62 unpack f f f;
-#X obj 125 136 t b f;
-#X connect 0 0 1 0;
-#X connect 2 0 0 0;
-#X connect 3 0 2 0;
-#X connect 4 0 3 1;
-#X connect 5 0 14 0;
-#X connect 6 0 11 0;
-#X connect 6 0 12 0;
-#X connect 7 0 9 0;
-#X connect 8 0 7 0;
-#X connect 10 0 8 1;
-#X connect 11 0 9 2;
-#X connect 12 0 13 0;
-#X connect 13 0 8 0;
-#X connect 13 1 9 1;
-#X connect 14 1 15 0;
-#X connect 14 2 0 2;
-#X connect 15 0 3 0;
-#X connect 15 1 0 1;
-#X restore 172 320 pd gemrender;
-#X msg 336 129 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 connect 21 0 49 0;
-#X connect 24 0 23 0;
-#X connect 25 0 50 0;
-#X connect 26 0 19 0;
-#X connect 49 0 20 0;
-#X connect 50 0 55 0;
-#X connect 50 1 55 1;
-#X connect 51 0 22 0;
-#X connect 52 0 51 0;
-#X connect 54 0 53 0;
-#X connect 56 0 53 0;