#N canvas 479 25 563 764 10;
#X obj 4 369 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X obj 5 779 cnv 15 550 30 empty empty empty 20 12 0 14 -158509 -66577
0;
#X obj 8 6 cnv 15 550 30 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 14 389 cnv 15 75 15 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 14 584 cnv 15 75 15 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 4 527 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X obj 4 562 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X obj 7 76 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X obj 5 729 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X obj 5 749 cnv 15 550 30 empty empty empty 20 12 0 14 -233017 -66577
0;
#N canvas 76 31 777 741 More_Info 0;
#X text 94 17 MSD : mass - spring - damper model;
#X text 26 46 MSD is the 1D object of the msd objects collection.;
#X text 25 160 Be careful : if masses are deleted \, lists messages
won't work;
#X text 25 65 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.;
#X text 25 262 Links can be created between mutiples masses \, instead
of creation number \, the masses linked are defined with their Id.
;
#X obj 449 23 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
-1;
#X obj 449 277 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
-1;
#N canvas 0 0 450 300 (subpatch) 0;
#X array rigidity1 4 float 1;
#A 0 -1 0 1 2;
#X array zero 4 float 1;
#A 0 0 0 0 0;
#X coords 0 3 3 -3 200 150 1;
#X restore 117 339 graph;
#X text 175 496 L0;
#N canvas 331 182 956 727 figure 0;
#X obj 182 108 loadbang;
#X msg 191 180 \; 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 399 574 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 536 627 *;
#X obj 480 591 *;
#X obj 533 595 t f f;
#X obj 480 564 t f f;
#X obj 453 704 tabwrite rigidity4;
#X msg 55 419 \; 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 255 350 t b b;
#X msg 404 183 \; rigidity2 resize 1 \; rigidity2 resize 23 \; rigidity2
bounds 0 3 22 -3 \; rigidity2 0 0 0 -2.5 -2.34 -2.167 -2 -1.833 -1.667
-1.5 0 0 0 0 0 1.5 1.667 1.833 2 2.167 2.34 2.5 0 0 0 \; rigidity2
ylabel -0.5 \; rigidity2 xlabel -3.5 \; rigidity2 xticks 1 1 5 \; rigidity2
yticks 0 0.2 5;
#X obj 402 359 f;
#X obj 418 409 + 1;
#X obj 402 382 moses 50.5;
#X obj 384 417 f;
#X obj 395 328 bng 15 250 50 0 empty empty empty 17 7 0 10 -262144
-1 -1;
#X connect 0 0 1 0;
#X connect 0 0 24 0;
#X connect 0 0 23 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 23 0 25 0;
#X connect 23 1 22 0;
#X connect 25 0 27 0;
#X connect 26 0 25 0;
#X connect 27 0 26 0;
#X connect 27 0 28 0;
#X connect 28 0 4 0;
#X connect 28 0 6 0;
#X connect 28 0 11 0;
#X connect 28 0 13 0;
#X connect 29 0 25 0;
#X restore 430 703 pd figure;
#X text 121 318 Rigidity;
#N canvas 0 0 450 300 (subpatch) 0;
#X array rigidity2 23 float 1;
#A 0 0 0 -2.5 -2.34 -2.167 -2 -1.833 -1.667 -1.5 0 0 0 0 0 1.5 1.667
1.833 2 2.167 2.34 2.5 0 0;
#X array zero 23 float 1;
#A 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
#X coords 0 3 22 -3 200 150 1;
#X restore 112 555 graph;
#X text 204 710 L0;
#X text 117 532 Rigidity with Lmin and Lmax;
#X text 220 710 Lmin;
#X text 282 711 Lmax;
#N canvas 0 0 450 300 (subpatch) 0;
#X array rigidity3 51 float 1;
#A 0 -4.47214 -4.3589 -4.24264 -4.12311 -4 -3.87298 -3.74166 -3.60555
-3.4641 -3.31662 -3.16228 -3 -2.82843 -2.64575 -2.44949 -2.23607 -2
-1.73205 -1.41421 -1 0 1 1.41421 1.73205 2 2.23607 2.44949 2.64575
2.82843 3 3.16228 3.31662 3.4641 3.60555 3.74166 3.87298 4 4.12311
4.24264 4.3589 4.47214 4.58258 4.69042 4.79583 4.89898 5 5.09902 5.19615
5.2915 5.38516 5.47723;
#X array zero 51 float 1;
#A 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
#X coords 0 6 50 -6 200 150 1;
#X restore 557 346 graph;
#X text 630 499 L0;
#X text 562 325 Rigidity with power = 1/2;
#N canvas 0 0 450 300 (subpatch) 0;
#X array rigidity4 51 float 1;
#A 0 -400 -361 -324 -289 -256 -225 -196 -169 -144 -121 -100 -81 -64
-49 -36 -25 -16 -9 -4 -1 0 1 4 9 16 25 36 49 64 81 100 121 144 169
196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 841 900
;
#X array zero 51 float 1;
#A 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
#X coords 0 1000 50 -1000 200 150 1;
#X restore 554 561 graph;
#X text 627 715 L0;
#X text 557 539 Rigidity with power = 2;
#X text 548 21 The equations are :;
#X text 474 45 if Lmin<|L[n]-L[0]|<Lmax;
#X text 473 84 else;
#X text 473 104 F[n] = D(L[n]-L[n-1]);
#X text 473 63 F[n] = K(L[n] - L[0])^P + D(L[n] - L[n-1]);
#X text 25 192 Links connect masses two by two. They got 4 physicals
parameters : length \, rigidity \, damping and power.;
#X text 25 221 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 connect 5 0 6 0;
#X restore 16 785 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 19 729 See Also:;
#X text 74 48 Full Name:;
#N canvas 58 22 262 70 Related_Objects 0;
#X obj 3 10 cnv 15 250 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X obj 3 30 cnv 15 250 30 empty empty empty 20 12 0 14 -233017 -66577
0;
#X text 5 10 Externals and libraries;
#X obj 44 37 msd2D;
#X obj 140 37 msd3D;
#X restore 122 785 pd Related_Objects;
#X text 12 8 HELP: msd;
#X obj 157 48 msd;
#X text 12 18 DESCRIPTION: Mass spring damper physical modeling in
1D.;
#X obj 18 296 msd;
#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;
#X connect 5 3 3 0;
#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;
#X obj 18 321 s \$0-out;
#X obj 18 272 r \$0-in;
#X obj 261 184 vsl 15 127 0 127 0 0 empty empty Drag-----> -70 60 1
10 -262144 -1 -1 0 1;
#X obj 292 184 vsl 15 127 0 127 0 0 empty empty empty 0 -8 0 8 -262144
-1 -1 0 1;
#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 17 208 pd compute;
#X obj 17 181 tgl 20 0 empty empty ON/OFF 25 10 1 10 -262144 -1 -1
0 1;
#X obj 261 107 r \$0-out;
#X obj 17 126 bng 20 250 50 0 empty empty Reset 25 10 1 10 -262144
-1 -1;
#X obj 261 131 route massesPosL;
#X obj 311 184 vsl 15 127 0 127 0 0 empty empty empty 0 -8 0 8 -262144
-1 -1 0 1;
#X obj 330 184 vsl 15 127 0 127 0 0 empty empty empty 0 -8 0 8 -262144
-1 -1 0 1;
#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 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 33 254 559 560 creation________ 0;
#X obj 11 95 cnv 15 100 35 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 5 75 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X obj 5 3 cnv 15 550 15 empty empty empty 20 12 0 14 -233017 -66577
0;
#X text 7 2 CREATION Messages;
#X obj 10 156 cnv 15 150 140 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 4 137 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X obj 10 332 cnv 15 240 220 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 3 308 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X msg 32 104 reset;
#X text 202 167 Add a mass;
#X text 288 168 \$1 : Id (symbol);
#X text 287 188 \$2 : fixed or mobile (0/1);
#X text 287 206 \$3 : mass;
#X msg 32 167 mass \$1 \$2 \$3 \$4;
#X msg 32 243 deleteMass \$1;
#X text 201 245 Delete a mass and associated links;
#X text 285 262 \$1 : Creation No of mass;
#X text 287 224 \$4 : initial position;
#X text 7 137 Masses :;
#X text 7 74 Reset :;
#X text 129 105 Delete all masses \, links and internal variables;
#X text 6 308 Links :;
#X text 271 360 \$1 : Id (symbol);
#X text 271 413 \$4 : rigidity;
#X msg 30 505 deleteLink \$1;
#X text 264 507 Delete a link;
#X text 268 525 \$1 : Creation No of link;
#X text 271 360 \$1 : Id (symbol);
#X text 271 413 \$4 : rigidity;
#X text 271 378 \$2 : creation No/Id of mass1;
#X text 271 396 \$3 : creation No/Id of mass2;
#X text 266 341 Add link(s);
#X text 268 468 (\$6) : minimum lenght of link;
#X text 268 485 (\$7) : maximum lenght of link;
#X text 271 431 \$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 30 341 link \$1 \$2 \$3 \$4 \$5 (\$6 \$7 \$8);
#X text 271 449 \$6 : Power of the rigidity distance;
#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 9 751 CATEGORY: control;
#N canvas 475 181 557 516 dynamic 0;
#X obj 5 3 cnv 15 550 15 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 10 85 cnv 15 130 210 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 4 62 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X obj 10 330 cnv 15 130 180 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 3 306 cnv 15 550 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X text 7 62 Masses :;
#X text 6 306 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 30 152 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 30 195 Xmin \$1;
#X msg 30 217 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 189 196 Set minimimum and maximum position of all masses;
#X text 188 244 Set mass to mobile or fixed;
#X msg 29 394 setD \$1 \$2;
#X text 184 380 \$2 : New value;
#X msg 29 343 setK \$1 \$2;
#X text 184 436 \$2 : New value;
#X text 184 489 \$2 : New value;
#X text 178 344 Set rigidity of link(s);
#X text 178 400 Set damping of link(s);
#X msg 29 449 setL \$1 \$2;
#X text 178 453 Set initial lenght of link(s);
#X text 184 362 \$1 : Id (symbol) or No;
#X text 184 418 \$1 : Id (symbol) or No;
#X text 184 471 \$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 restore 12 478 pd dynamic settings;
#N canvas 191 75 634 669 attributes______ 1;
#X obj 11 95 cnv 15 100 35 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 5 75 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X obj 5 3 cnv 15 590 15 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 10 158 cnv 15 150 75 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 4 137 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#X obj 10 264 cnv 15 110 330 empty empty empty 20 12 0 14 -233017 -66577
0;
#X obj 4 240 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
0;
#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 32 198 massesForcesL;
#X text 170 170 Output all masses positions in a list on outlet No
1;
#X text 140 280 Get specific attribute on specific element;
#X msg 20 278 get \$1 (\$2);
#X text 7 240 Specific :;
#X text 140 381 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 141 457 message;
#X text 381 457 response;
#X text 140 438 Examples with 3 masses numbered 0 \, 1 and 2 and named
mas:;
#X text 146 547 [get massesPos mas( -----> [massesPosId 0 x0(;
#X text 335 562 [massesPosId 2 x2(;
#X text 335 577 [massesPosId 1 x1(;
#X text 174 476 [get massesPos( -----> [massesPos 0 x0(;
#X text 335 490 [massesPos 2 x2(;
#X text 335 504 [massesPos 1 x1(;
#X text 160 526 [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 170 199 Output all forces applied on masses in a list on outlet
No 1;
#X text 140 348 (\$2) : - If not defined all the attributes are send
for all the elements. - Ids or/and creations No;
#X text 140 305 \$1 : Attribute type ( massesPos / massesPosName /
massesSpeeds / massesSpeedsName / massesForces / massesForces / linksPos
/ linksPos );
#X text 146 596 [get massesPosName( -----> [massesPosName name_0 x0(
;
#X text 336 626 [massesPosName name_1 x1(;
#X text 336 611 [massesPosName name_2 x2(;
#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 111 729 01_msdtest.pd;
#X connect 22 0 24 0;
#X connect 25 0 22 0;
#X connect 26 0 29 0;
#X connect 29 0 28 0;
#X connect 31 0 30 0;
#X connect 32 0 34 0;
#X connect 33 0 23 0;
#X connect 34 0 37 0;
#X connect 37 0 26 0;
#X connect 37 1 27 0;
#X connect 37 2 35 0;
#X connect 37 3 36 0;