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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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+rigidity1 xlabel -3.5 \; rigidity1 xticks 0 1 1 \; rigidity1 yticks
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+#X text 657 482 L0;
+#X text 569 304 Rigidity with Lmin and Lmax;
+#X text 673 482 Lmin;
+#X text 735 481 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.;
+#X connect 3 0 4 0;
+#X restore 16 731 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 19 675 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 122 731 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;
+#X connect 0 0 2 0;
+#X connect 1 0 3 0;
+#X connect 3 0 7 0;
+#X connect 3 1 9 0;
+#X connect 3 2 8 0;
+#X connect 3 3 6 0;
+#X connect 3 4 4 0;
+#X connect 4 0 0 0;
+#X connect 5 0 3 0;
+#X connect 6 0 0 0;
+#X connect 7 0 0 0;
+#X connect 8 0 0 0;
+#X connect 9 0 0 0;
+#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 connect 0 0 3 0;
+#X connect 2 0 1 0;
+#X connect 3 0 2 0;
+#X connect 4 0 2 0;
+#X restore 17 209 pd compute;
+#X obj 17 181 tgl 15 0 empty empty ON/OFF 25 10 1 10 -262144 -1 -1
+0 1;
+#X obj 172 270 r \$0-out;
+#X obj 17 126 bng 15 250 50 0 empty empty reset 25 10 1 10 -262144
+-1 -1;
+#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 8 28 967 626 creation________ 0;
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+#X text 7 2 CREATION Messages;
+#X obj 4 137 cnv 15 450 15 empty empty empty 20 12 0 14 -158509 -66577
+0;
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+0;
+#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 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 msg 508 153 tLink \$1 \$2 \$3 \$4 \$5 \$6 \$7 (\$8 \$9 \$10);
+#X text 504 75 Oriented links :;
+#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 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.;
+#X obj 13 629 cnv 15 75 15 empty empty empty 20 12 0 14 -233017 -66577
+0;
+#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 9 697 CATEGORY: control;
+#N canvas 354 125 558 582 dynamic 0;
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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;
+#N canvas 382 95 601 681 attributes______ 0;
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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 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 138 340 \$1 : Attribute type ( massesPos / massesPosName /
+massesSpeeds / massesSpeedsName / massesForces / massesForces / linksPos
+/ linksPos );
+#X text 173 511 [get massesPos( -----> [massesPos 0 x0 y0(;
+#X text 334 525 [massesPos 2 x2 y2(;
+#X text 334 539 [massesPos 1 x1 y1(;
+#X text 159 561 [get massesPos 1( -----> [massesPosNo 1 x1 y1(;
+#X text 145 582 [get massesPos mas( -----> [massesPosId 0 x0 y0(;
+#X text 334 597 [massesPosId 2 x2 y2(;
+#X text 334 612 [massesPosId 1 x1 y1(;
+#X text 145 633 [get massesPosName( -----> [massesPosName name_0 x0
+y0(;
+#X text 335 648 [massesPosName name_2 x2 y2(;
+#X text 335 663 [massesPosName name_1 x1 y1(;
+#X restore 12 499 pd attributes______;
+#X text 9 707 KEYWORDS: physical model mass spring damper link;
+#X text 267 732 - 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 257 676 editor/msd2d-editor.pd;
+#X text 112 676 01_msd2Dtest.pd;
+#X obj 18 296 msd2D;
+#X obj 172 294 route massesPos linksPos;
+#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 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 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 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;