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r@179: #X obj 332 712 outlet; r@177: #X text 327 27 Calculates the length of the arc based on the length r@177: of the great circle. 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r@179: #X connect 52 0 78 1; r@179: #X connect 57 0 60 0; r@179: #X connect 58 0 60 1; r@179: #X connect 59 0 61 1; r@179: #X connect 60 0 61 0; r@179: #X connect 61 0 62 0; r@179: #X connect 61 0 64 0; r@179: #X connect 62 0 67 0; r@179: #X connect 64 0 65 0; r@179: #X connect 65 0 66 0; r@179: #X connect 66 0 69 0; r@179: #X connect 67 0 68 0; r@179: #X connect 68 0 66 1; r@179: #X connect 69 0 71 1; r@179: #X connect 70 0 71 0; r@179: #X connect 71 0 83 0; r@179: #X connect 72 0 73 0; r@179: #X connect 74 0 75 0; r@179: #X connect 76 0 78 0; r@179: #X connect 78 0 81 0; r@179: #X connect 79 0 80 0; r@179: #X connect 80 0 81 1; r@179: #X connect 81 0 82 0; r@179: #X connect 82 0 84 0; r@179: #X restore -8407 466 pd SourceAngles; r@179: #X obj -8407 488 outlet~; r@179: #X obj -8320 488 outlet~; r@179: #X text -8481 514 Source - Obs Elevation; r@179: #X text -8326 515 Source - Obs Azimuth; r@179: #X obj -8431 61 inlet; r@179: #X text -8483 40 Source position on sword; r@179: #X obj -8355 402 inlet~; r@179: #X obj -8338 421 inlet~; r@179: #X obj -8320 442 inlet~; r@179: #X connect 3 0 37 0; r@179: #X connect 4 0 39 0; r@179: #X connect 5 0 41 0; r@179: #X connect 6 0 7 0; r@179: #X connect 7 0 8 0; r@179: #X connect 7 0 9 0; r@179: #X connect 8 0 11 0; r@179: #X connect 9 0 12 0; r@179: #X connect 10 0 13 0; r@179: #X connect 10 0 14 0; r@179: #X connect 10 0 15 0; r@179: #X connect 11 0 19 0; r@179: #X connect 12 0 20 0; r@179: #X connect 13 0 16 0; r@179: #X connect 14 0 17 0; r@179: #X connect 15 0 18 0; r@179: #X connect 16 0 19 1; r@179: #X connect 17 0 20 1; r@179: #X connect 18 0 25 0; r@179: #X connect 18 0 42 2; r@179: #X connect 19 0 21 0; r@179: #X connect 19 0 42 0; r@179: #X connect 20 0 23 0; r@179: #X connect 20 0 42 1; r@179: #X connect 21 0 22 0; r@179: #X connect 21 0 22 1; r@179: #X connect 22 0 27 0; r@179: #X connect 23 0 24 0; r@179: #X connect 23 0 24 1; r@179: #X connect 24 0 27 1; r@179: #X connect 25 0 26 0; r@179: #X connect 25 0 26 1; r@179: #X connect 26 0 28 1; r@179: #X connect 27 0 28 0; r@179: #X connect 28 0 29 0; r@179: #X connect 29 0 30 0; r@179: #X connect 29 0 33 0; r@179: #X connect 31 0 7 1; r@179: #X connect 32 0 10 0; r@179: #X connect 33 0 34 0; r@179: #X connect 36 0 25 1; r@179: #X connect 37 0 36 0; r@179: #X connect 38 0 23 1; r@179: #X connect 39 0 38 0; r@179: #X connect 40 0 21 1; r@179: #X connect 41 0 40 0; r@179: #X connect 42 0 43 0; r@179: #X connect 42 1 44 0; r@179: #X connect 47 0 16 1; r@179: #X connect 47 0 17 1; r@179: #X connect 47 0 18 1; r@179: #X connect 49 0 42 3; r@179: #X connect 50 0 42 4; r@179: #X connect 51 0 42 5; r@179: #X restore 159 291 pd positions; r@179: #X msg 200 336 0.5; r@179: #X obj 145 165 r bladeLen; r@179: #X obj 118 378 freqCalcCyl3No_D3Mach; r@179: #X obj 228 23 loadbang; r@179: #N canvas 649 57 311 384 lengthCalc 0; r@179: #X obj 151 48 inlet; r@179: #X obj 151 74 unpack; r@179: #X obj 151 189 r start_armLength; r@179: #X obj 74 140 r bladeLen; r@179: #X obj 151 97 - 1; r@179: #X obj 184 98 - 1; r@179: #X obj 151 121 /; r@179: #X obj 136 169 *; r@179: #X obj 136 209 +; r@179: #X obj 136 235 outlet; r@179: #X obj 151 144 t f b; r@179: #X connect 0 0 1 0; r@179: #X connect 1 0 4 0; r@179: #X connect 1 1 5 0; r@179: #X connect 2 0 8 1; r@179: #X connect 3 0 7 0; r@179: #X connect 4 0 6 0; r@179: #X connect 5 0 6 1; r@179: #X connect 6 0 10 0; r@179: #X connect 7 0 8 0; r@179: #X connect 8 0 9 0; r@179: #X connect 10 0 7 1; r@179: #X connect 10 1 7 0; r@179: #X restore 228 69 pd lengthCalc; r@179: #N canvas 63 71 726 590 myThinkness 0; r@179: #X obj 136 61 inlet; r@179: #X obj 136 87 unpack; r@179: #X obj 136 110 - 1; r@179: #X obj 169 111 - 1; r@179: #X obj 227 252 outlet; r@179: #X obj 167 204 r hiltThick; r@179: #X obj 272 124 r tipThick; r@179: #X obj 257 102 r hiltThick; r@179: #X obj 257 149 -; r@179: #X obj 257 176 /; r@179: #X obj 227 228 -; r@179: #X obj 242 203 *; r@179: #X obj 200 142 t f b; r@179: #X connect 0 0 1 0; r@179: #X connect 1 0 2 0; r@179: #X connect 1 1 3 0; r@179: #X connect 2 0 11 0; r@179: #X connect 3 0 12 0; r@179: #X connect 5 0 10 0; r@179: #X connect 6 0 8 1; r@179: #X connect 7 0 8 0; r@179: #X connect 8 0 9 0; r@179: #X connect 9 0 11 1; r@179: #X connect 10 0 4 0; r@177: #X connect 11 0 10 1; r@179: #X connect 12 0 9 1; r@179: #X connect 12 1 9 0; r@179: #X restore 131 140 pd myThinkness; r@179: #X obj 180 23 r setUp; r@179: #X obj 199 97 inlet; r@179: #N canvas 186 23 742 749 sourceSpeed 0; r@179: #X text -122 17 Start calculation with elevation = 0 \, arm length r@179: is constant \, acceleration/deceleration is constant.; r@179: #X msg -249 393 \$1 \$2; r@179: #X obj -249 368 pack; r@179: #X msg -79 425 0; r@179: #X obj -250 345 f; r@179: #X obj -271 301 r GO; r@179: #X msg 60 427 0 \$1; r@179: #X obj 59 350 t f b; r@179: #X obj 60 378 delay; r@179: #X obj -79 404 r setUp; r@179: #X text -96 385 Start at 0 speed; r@179: #X text 102 438 \$1 = time to reach speed of 0; r@179: #X obj 74 303 r preswingTime; r@179: #X text 12 263 Trigger once full speed; r@179: #X obj -79 492 outlet~; r@179: #X obj -357 40 inlet; r@179: #X obj -342 144 inlet; r@179: #X text -312 424 \$1 = source speed; r@179: #X text -312 440 \$2 = time to reach source speed; r@179: #X obj -224 344 r preswingTime; r@179: #X obj -220 249 r preswingTime; r@179: #X obj -235 292 /; r@179: #X obj -220 270 * 0.001; r@179: #X obj -235 319 * 2; r@179: #X text -192 299 Average Speed; r@179: #X text -195 323 Top Speed for this source; r@179: #X obj 117 367 r postswingTime; r@179: #X obj 59 283 r GO; r@179: #X obj 59 325 f; r@179: #X obj 60 405 f; r@179: #X obj -79 459 vline~; r@179: #X obj -327 81 r bladeLen; r@179: #X obj -342 61 r start_armLength; r@179: #X obj -342 102 +; r@179: #X obj -357 124 /; r@179: #X obj -357 168 *; r@179: #X obj -205 67 r postsweepAzim; r@179: #X obj -190 89 r presweepAzim; r@179: #X obj -190 110 t f b; r@179: #X obj -220 183 /; r@179: #X obj -205 160 t f b; r@179: #X obj -235 227 *; r@179: #X obj -220 204 t f b; r@179: #X obj -205 139 -; r@179: #X obj -241 159 -; r@179: #X msg -241 137 180; r@179: #X connect 1 0 30 0; r@179: #X connect 2 0 1 0; r@179: #X connect 3 0 30 0; r@179: #X connect 4 0 2 0; r@179: #X connect 5 0 4 0; r@179: #X connect 6 0 30 0; r@179: #X connect 7 0 8 1; r@179: #X connect 7 1 8 0; r@179: #X connect 8 0 29 0; r@179: #X connect 9 0 3 0; r@179: #X connect 12 0 28 1; r@179: #X connect 15 0 34 0; r@179: #X connect 16 0 35 1; r@179: #X connect 19 0 2 1; r@179: #X connect 20 0 22 0; r@179: #X connect 21 0 23 0; r@179: #X connect 22 0 21 1; r@179: #X connect 23 0 4 1; r@179: #X connect 26 0 29 1; r@177: #X connect 27 0 28 0; r@179: #X connect 28 0 7 0; r@179: #X connect 29 0 6 0; r@179: #X connect 30 0 14 0; r@179: #X connect 31 0 33 1; r@179: #X connect 32 0 33 0; r@179: #X connect 33 0 34 1; r@179: #X connect 34 0 35 0; r@179: #X connect 35 0 41 0; r@179: #X connect 36 0 43 0; r@179: #X connect 37 0 38 0; r@179: #X connect 38 0 43 1; r@179: #X connect 38 0 44 1; r@179: #X connect 38 1 43 0; r@179: #X connect 38 1 45 0; r@179: #X connect 39 0 42 0; r@179: #X connect 40 0 39 1; r@179: #X connect 40 1 39 0; r@179: #X connect 41 0 21 0; r@177: #X connect 42 0 41 1; r@177: #X connect 42 1 41 0; r@179: #X connect 43 0 40 0; r@179: #X connect 44 0 39 0; r@179: #X connect 45 0 44 0; r@179: #X restore 118 118 pd sourceSpeed; r@179: #X obj 159 188 inlet~; r@179: #X obj 172 209 inlet~; r@179: #X obj 200 230 inlet~; r@179: #X obj 214 251 inlet~; r@179: #X obj 228 271 inlet~; r@179: #X msg 228 46 12 12; r@179: #X connect 0 0 5 9; r@179: #X connect 0 0 5 8; r@179: #X connect 0 0 5 7; r@182: #X connect 0 0 5 10; r@179: #X connect 1 0 0 0; r@179: #X connect 1 0 3 0; r@179: #X connect 2 0 5 3; r@179: #X connect 2 1 5 4; r@179: #X connect 2 2 5 5; r@179: #X connect 3 0 5 6; r@179: #X connect 4 0 5 2; r@179: #X connect 6 0 17 0; r@179: #X connect 7 0 2 2; r@179: #X connect 7 0 11 0; r@179: #X connect 8 0 5 1; r@179: #X connect 9 0 17 0; r@179: #X connect 10 0 11 1; r@179: #X connect 11 0 5 0; r@179: #X connect 12 0 2 0; r@179: #X connect 13 0 2 1; r@179: #X connect 14 0 2 3; r@179: #X connect 15 0 2 4; r@179: #X connect 16 0 2 5; r@179: #X connect 17 0 7 0; r@179: #X connect 17 0 8 0; r@179: #X restore 107 123 pd one_Source; r@179: #X obj 513 -132 centreAngles; r@179: #N canvas 572 380 614 399 PlaneFind 0; r@176: #N canvas 2 23 1440 824 baseFind 0; r@176: #X text -8140 262 z coordinate of tip; r@176: #X text -8461 291 x coordinate of tip; r@176: #X text -8264 135 y coordinate of tip; r@176: #X obj -8297 237 r length; r@176: #X obj -8212 237 r length; r@176: #X obj -8141 241 r length; r@176: #X obj -8332 105 sig~ 180; r@176: #X obj -8332 149 -~; r@176: #X obj -8332 169 *~ 0.002778; r@176: #X obj -8248 167 *~ 0.002778; r@176: #X obj -8162 190 *~ 0.002778; r@176: #X obj -8332 193 cos~; r@176: #X obj -8248 191 sin~; r@176: #X obj -8317 215 sin~; r@176: #X obj -8233 215 sin~; r@176: #X obj -8162 217 cos~; r@176: #X obj -8317 260 *~ 1; r@176: #X obj -8233 260 *~ 1; r@176: #X obj -8162 264 *~ 1; r@176: #X obj -8332 304 *~; r@176: #X obj -8248 291 *~; r@176: #X obj -8317 126 inlet~; r@176: #X obj -8162 168 inlet~; r@176: #X obj -8837 25 bng 50 250 50 0 empty empty empty 17 7 0 10 -4034 -1 r@176: -1; r@176: #X obj -8837 78 s GO; r@176: #X obj -8897 25 bng 50 250 50 0 empty empty empty 17 7 0 10 -257985 r@176: -1 -1; r@176: #X obj -8897 78 s setUp; r@176: #X text -8327 41 Calculate where the mid point of the swing should r@176: be in order that the max speed is in the xz plane; r@176: #X text -8767 21 The start position of the sword and the mid point r@176: are then vectors that describe plane of the sword. From this we can r@176: project to a point that is the closest point to the observer and calculate r@176: the elevation and azimuth between source and observer.; r@176: #X obj -8773 126 inlet~; r@176: #X obj -8719 126 inlet~; r@176: #X obj -8613 123 inlet~; r@176: #X text -8774 109 a11; r@176: #X text -8716 108 a21; r@176: #X text -8612 105 a31; r@176: #X text -8188 263 a32; r@176: #X text -8269 298 a22; r@176: #X text -8310 292 a12; r@176: #X obj -8773 167 *~; r@176: #X obj -8719 165 *~; r@176: #X obj -8613 164 *~; r@176: #X obj -8719 195 +~; r@176: #X obj -8734 219 +~; r@176: #X obj -8563 353 *~; r@176: #X obj -8532 354 *~; r@176: #X obj -8502 355 *~; r@176: #X obj -8532 380 +~; r@176: #X obj -8547 404 +~; r@176: #X obj -8332 333 *~; r@176: #X obj -8248 339 *~; r@176: #X obj -8162 339 *~; r@176: #X obj -8248 371 +~; r@176: #X obj -8263 395 +~; r@176: #X text -8761 219 b11; r@176: #X text -8620 396 b12 & b21; r@176: #X text -8291 393 b22; r@176: #X obj -8278 423 *~; r@176: #X obj -8546 439 *~; r@176: #X obj -8278 449 -~; r@176: #X obj -8321 463 sig~ 1; r@176: #X obj -8293 486 /~; r@176: #X text -8250 451 Determinant; r@176: #X obj -8592 442 *~ -1; r@176: #X text -8669 442 -b12 & -b21; r@176: #X text -8873 287 Martix a is original; r@176: #X text -8873 317 Martix c is inverse b; r@176: #X text -8873 302 Martix b is a' * a; r@176: #X obj -8263 517 *~; r@176: #X text -8233 516 c11; r@176: #X obj -8749 522 *~; r@176: #X obj -8460 525 *~; r@176: #X text -8522 525 c12 & c21; r@176: #X obj -8773 617 *~; r@176: #X obj -8758 642 *~; r@176: #X text -8774 510 c22; r@176: #X obj -8773 667 +~; r@176: #X obj -8643 619 *~; r@176: #X obj -8628 644 *~; r@176: #X obj -8643 669 +~; r@176: #X obj -8518 629 *~; r@176: #X obj -8503 654 *~; r@176: #X obj -8518 679 +~; r@176: #X obj -8383 638 *~; r@176: #X obj -8368 663 *~; r@176: #X obj -8383 688 +~; r@176: #X obj -8253 640 *~; r@176: #X obj -8238 665 *~; r@176: #X obj -8253 690 +~; r@176: #X obj -8128 650 *~; r@176: #X obj -8113 675 *~; r@176: #X obj -8128 700 +~; r@176: #X text -8875 331 Matrix d is a * b; r@176: #X text -8802 665 d11; r@176: #X text -8669 666 d21; r@176: #X text -8545 678 d31; r@176: #X text -8409 687 d12; r@176: #X text -8280 686 d22; r@176: #X text -8150 697 d32; r@176: #X obj -7912 206 *~; r@176: #X obj -7897 231 *~; r@176: #X obj -7912 256 +~; r@176: #X obj -7912 329 *~; r@176: #X obj -7897 354 *~; r@176: #X obj -7912 379 +~; r@176: #X obj -7914 448 *~; r@176: #X obj -7899 473 *~; r@176: #X obj -7914 498 +~; r@176: #X obj -7797 207 *~; r@176: #X obj -7782 232 *~; r@176: #X obj -7797 257 +~; r@176: #X obj -7797 330 *~; r@176: #X obj -7782 355 *~; r@176: #X obj -7797 380 +~; r@176: #X obj -7799 449 *~; r@176: #X obj -7784 474 *~; r@176: #X obj -7799 499 +~; r@176: #X obj -7672 204 *~; r@176: #X obj -7657 229 *~; r@176: #X obj -7672 254 +~; r@176: #X obj -7672 327 *~; r@176: #X obj -7657 352 *~; r@176: #X obj -7672 377 +~; r@176: #X obj -7674 446 *~; r@176: #X obj -7659 471 *~; r@176: #X obj -7674 496 +~; r@176: #X text -7955 132 Under all this is the projection matrix onto the r@176: plane of the sword; r@176: #X text -7640 256 p13; r@176: #X text -7769 255 p12; r@176: #X text -7887 256 p11; r@176: #X text -7641 375 p23; r@176: #X text -7772 380 p22; r@176: #X text -7890 384 p21; r@176: #X text -7644 498 p33; r@176: #X text -7772 499 p32; r@176: #X text -7888 493 p31; r@179: #N canvas 285 176 638 403 ProjectionPoint 0; r@179: #X obj -140 119 inlet~; r@179: #X obj -101 140 inlet~; r@179: #X obj -65 160 inlet~; r@179: #X obj 62 112 inlet~; r@179: #X obj 102 134 inlet~; r@179: #X obj 138 156 inlet~; r@179: #X obj 69 19 r Xobs; r@179: #X obj 154 19 r Zobs; r@179: #X obj 112 19 r Yobs; r@179: #X msg 69 41 \$1 5; r@179: #X obj 69 63 line~; r@176: #X obj -101 192 *~; r@176: #X obj -65 193 *~; r@176: #X obj -140 192 *~; r@179: #X obj -116 217 +~; r@179: #X obj -116 242 +~; r@179: #X msg 112 41 \$1 5; r@179: #X obj 112 63 line~; r@176: #X obj 102 183 *~; r@176: #X obj 138 184 *~; r@176: #X obj 63 183 *~; r@179: #X obj 87 213 +~; r@179: #X obj 87 241 +~; r@179: #X msg 153 43 \$1 5; r@179: #X obj 153 65 line~; r@179: #X obj 260 117 inlet~; r@179: #X obj 299 137 inlet~; r@179: #X obj 335 158 inlet~; r@176: #X obj 299 186 *~; r@176: #X obj 335 187 *~; r@176: #X obj 260 186 *~; r@179: #X obj 284 219 +~; r@179: #X obj 284 250 +~; r@176: #X obj -136 32 bng 50 250 50 0 empty empty empty 17 7 0 10 -4034 -1 r@176: -1; r@176: #X obj -136 85 s GO; r@176: #X obj -196 32 bng 50 250 50 0 empty empty empty 17 7 0 10 -257985 r@176: -1 -1; r@176: #X obj -196 85 s setUp; r@179: #X obj -116 266 outlet~; r@179: #X obj 87 266 outlet~; r@179: #X obj 284 275 outlet~; r@179: #X text -80 315 x' \, y' & z' relates to the point in the plane of r@179: the sword when the observer position is projected on; r@179: #X text -89 244 x'; r@179: #X text 114 243 y'; r@179: #X text 307 248 z'; r@176: #X connect 0 0 13 0; r@176: #X connect 1 0 11 0; r@176: #X connect 2 0 12 0; r@178: #X connect 3 0 20 0; r@178: #X connect 4 0 18 0; r@178: #X connect 5 0 19 0; r@176: #X connect 6 0 9 0; r@178: #X connect 7 0 23 0; r@178: #X connect 8 0 16 0; r@176: #X connect 9 0 10 0; r@176: #X connect 10 0 13 1; r@178: #X connect 10 0 20 1; r@178: #X connect 10 0 30 1; r@176: #X connect 11 0 14 1; r@176: #X connect 12 0 15 1; r@176: #X connect 13 0 14 0; r@176: #X connect 14 0 15 0; r@178: #X connect 15 0 37 0; r@176: #X connect 16 0 17 0; r@178: #X connect 17 0 11 1; r@178: #X connect 17 0 18 1; r@178: #X connect 17 0 28 1; r@178: #X connect 18 0 21 1; r@178: #X connect 19 0 22 1; r@178: #X connect 20 0 21 0; r@178: #X connect 21 0 22 0; r@178: #X connect 22 0 38 0; r@176: #X connect 23 0 24 0; r@178: #X connect 24 0 12 1; r@178: #X connect 24 0 19 1; r@178: #X connect 24 0 29 1; r@178: #X connect 25 0 30 0; r@178: #X connect 26 0 28 0; r@178: #X connect 27 0 29 0; r@178: #X connect 28 0 31 1; r@178: #X connect 29 0 32 1; r@178: #X connect 30 0 31 0; r@178: #X connect 31 0 32 0; r@178: #X connect 32 0 39 0; r@178: #X connect 33 0 34 0; r@178: #X connect 35 0 36 0; r@176: #X restore -7676 685 pd ProjectionPoint; r@176: #X obj -7676 705 outlet~; r@176: #X obj -7624 705 outlet~; r@176: #X obj -7571 705 outlet~; r@178: #X connect 3 0 16 1; r@176: #X connect 4 0 17 1; r@176: #X connect 5 0 18 1; r@178: #X connect 6 0 7 0; r@176: #X connect 7 0 8 0; r@178: #X connect 7 0 9 0; r@178: #X connect 8 0 11 0; r@176: #X connect 9 0 12 0; r@176: #X connect 10 0 13 0; r@178: #X connect 10 0 14 0; r@178: #X connect 10 0 15 0; r@178: #X connect 11 0 19 0; r@176: #X connect 12 0 20 0; r@178: #X connect 13 0 16 0; r@176: #X connect 14 0 17 0; r@176: #X connect 15 0 18 0; r@178: #X connect 16 0 19 1; r@176: #X connect 17 0 20 1; r@178: #X connect 18 0 45 1; r@178: #X connect 18 0 50 1; r@178: #X connect 18 0 50 0; r@178: #X connect 18 0 80 0; r@178: #X connect 18 0 89 1; r@178: #X connect 18 0 114 1; r@178: #X connect 18 0 117 1; r@178: #X connect 18 0 120 1; r@178: #X connect 18 0 123 1; r@178: #X connect 19 0 43 1; r@178: #X connect 19 0 48 0; r@178: #X connect 19 0 48 1; r@178: #X connect 19 0 73 0; r@178: #X connect 19 0 83 1; r@178: #X connect 19 0 99 1; 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