From ae642416b283a9dd3c62e5d7c1f9386af468e255 Mon Sep 17 00:00:00 2001
From: Cyrille Henry <nusmuk@users.sourceforge.net>
Date: Wed, 23 Feb 2011 17:38:11 +0000
Subject: clean help files, and a last example. this is the beta version of
 pmpd version 0.10

svn path=/trunk/externals/pmpd/; revision=14955
---
 pmpd2d-help.pd | 716 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 715 insertions(+), 1 deletion(-)

(limited to 'pmpd2d-help.pd')

diff --git a/pmpd2d-help.pd b/pmpd2d-help.pd
index 78a7b42..3fcd199 100644
--- a/pmpd2d-help.pd
+++ b/pmpd2d-help.pd
@@ -1 +1,715 @@
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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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+rigidity1 xlabel -3.5 \; rigidity1 xticks 0 1 1 \; rigidity1 yticks
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+#X obj 681 510 moses -40;
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+#X obj 680 488 moses -10;
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+#X connect 29 0 26 0;
+#X connect 29 1 23 1;
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+#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;
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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 pmpd is the 2D object of the pmpd objects collection.
+;
+#X connect 3 0 4 0;
+#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;
+#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;
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+-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;
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+#X text 7 2 CREATION Messages;
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+0;
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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;
+#N canvas 100 72 1078 872 dynamic 0;
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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;
+#X obj 11 272 cnv 15 150 110 empty empty empty 20 12 0 14 -233017 -66577
+0;
+#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;
+#X obj 11 385 cnv 15 150 110 empty empty empty 20 12 0 14 -233017 -66577
+0;
+#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(
+;
+#X obj 611 26 cnv 15 150 110 empty empty empty 20 12 0 14 -233017 -66577
+0;
+#X obj 605 5 cnv 15 590 15 empty empty empty 20 12 0 14 -158509 -66577
+0;
+#X text 796 264 Output all forces applied on masses in a list on outlet
+No 1;
+#X obj 612 140 cnv 15 150 110 empty empty empty 20 12 0 14 -233017
+-66577 0;
+#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;
+#X obj 612 253 cnv 15 150 110 empty empty empty 20 12 0 14 -233017
+-66577 0;
+#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;
-- 
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