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#X text 478 247 1.arg: <float> ambisonic order;
#X text 489 259 (1 .. 12 for 2 dimensional use);
#X msg 461 178 col 2 \$1;
#X msg 425 97 row 1 \$1;
#X msg 288 211 col 3 \$1 \$2;
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#X text 102 142 phi;
#X text 21 12 ambi_encode;
#X text 34 291 ambisonic-order = n_ao;
#X text 346 320 -> output: <list> of (2*n_ao+1) <float>;
#X text 346 331 -> output: <list> of (n_ao+1)*(n_ao+1) <float>;
#X text 387 356 -> output: <row> + index + (2*n_ao+1) <float>;
#X text 387 368 -> output: <row> + index + (n_ao+1)*(n_ao+1) <float>
;
#X text 383 394 -> output: <col> + index + (2*n_ao+1) <float>;
#X text 383 406 -> output: <col> + index + (n_ao+1)*(n_ao+1) <float>
;
#X text 432 424 for crossfading of 2 ambisonic-systems;
#X msg 605 183 ambi_weight 1 1 1;
#X msg 588 162 ambi_weight 1 1 0.3904;
#X text 299 424 ambisonic-order-group;
#X text 89 464 -180 <= phi <= +180;
#X text 415 439 or for bluring a signal-source-direction;
#X text 31 496 order of ambisonic-channels in 2d-case: W X1 Y1 X2 Y2
X3 Y3;
#X text 391 496 X4 Y4 X5 Y5 ....;
#X text 167 510 W := 1 \, X-term ... cos(i*phi) \, Y-term ... sin(i*phi)
;
#X text 30 550 order of ambisonic-channels in 3d-case: W Z1X1 Z1Y1
Z1;
#X text 358 550 Z2X2 Z2Y2 Z2X1 Z2Y1 Z2 Z3X3 Z3Y3 Z3X2 Z3Y2 Z3X1 Z3Y1
Z3 ...;
#X text 166 564 W := 1 \, X-term ... cos(i*phi) \, Y-term ... sin(i*phi)
\,;
#X text 33 318 input: <float> phi [degree] .. 2-dimensional;
#X text 33 356 input: <row> index + phi [degree] .. 2-dimensional;
#X text 31 395 input: <col> index + phi [degree .. 2-dimensional;
#X text 31 424 input: <ambi_weight> one mul-factor for each;
#X text 267 482 |0| 1 | 2 | 3 | 4 | 5 |;
#X text 687 539 |;
#X text 263 537 |0| 1 | 2 | 3;
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#X text 329 120 phi;
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#X text 372 46 phi;
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#X text 427 60 phi;
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#X text 463 141 phi;
#X text 491 272 (1 .. 5 for 3 dimensional use);
#X msg 184 218 row 4 \$1 \$2;
#X text 82 849 "float"-message: <float> azimuth-angle phi [degree]
-> two-dimensional ambisonic-system -> output a <list> of (2*n_ao +
1) <float> elements;
#X text 478 850 "list"-message: 1.item <float> elevation-angle delta
[degree] \, 2.item <float> azimuth-angle phi [degree] -> three-dimensional
ambisonic-system -> output a <list> of (n_ao + 1)^2 <float> elements
;
#X text 87 914 "row"-message: <float> row-index of ambisonic-encoder-matrix
\, <float> azimuth-angle phi [degree] -> two-dimensional ambisonic-system
-> output a "row"-message + <float> row-index + (2*n_ao + 1) <float>
elements;
#X text 480 919 "row"-message: 1.item <float> elevation-angle delta
[degree] \, 2.item <float> azimuth-angle phi [degree] -> three-dimensional
ambisonic-system -> output a <list> of (n_ao + 1)^2 <float> elements
;
#X text 105 441 1 <= index <= nr_sources;
#X text 120 6 AMBISONIC ENCODING;
#X text 112 32 up to 12.Order 2-dimensional;
#X text 109 20 up to 5.Order 3-dimensional or;
#X text 366 8 calculates a row or column of;
#X text 372 20 a ambisonic-encoder-matrix;
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#X text 439 38 phi;
#X text 412 52 -180 .. +180;
#X obj 147 209 print 3d;
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#X obj 83 208 route row;
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#X obj 83 131 pp row 7;
#X text 18 261 row-index;
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#X text 453 267 +1;
#X text 453 367 -1;
#X text 456 318 0;
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#X msg 265 102 ambi_weight 1 1 1 1 0 0;
#X msg 265 121 ambi_weight 1 1 1 0 0 0;
#X msg 265 141 ambi_weight 1 1 0 0 0 0;
#X msg 265 161 ambi_weight 1 0 0 0 0 0;
#X msg 265 83 ambi_weight 1 1 1 1 1 0;
#X text 95 409 IEM KUG;
#X text 79 397 musil;
#X text 109 397 @;
#X text 115 397 iem.at;
#X text 78 419 Graz \, Austria;
#X text 30 386 (c) Thomas Musil 2000 - 2006;
#X text 68 32 theta;
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#X restore 538 61 pd 3D-5.Order-example;
#X text 90 632 IEM KUG;
#X text 74 620 musil;
#X text 104 620 @;
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#X text 73 642 Graz \, Austria;
#X text 25 609 (c) Thomas Musil 2000 - 2006;
#X text 48 143 theta;
#X text 174 124 theta;
#X text 275 121 theta;
#X text 33 331 input: <list>theta + phi [degree] .. 3-dimensional;
#X text 34 368 input: <row> index theta + phi [degree] .. 3-dimensional
;
#X text 31 407 input: <col> index + theta + phi [degree] .. 3-dimensional
;
#X text 89 452 -90 <= theta <= +90;
#X text 489 564 Z-term ... cos(j*theta)*sin(k*theta);
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#X text 108 154 o-;
#X text 116 149 _____;
#X text 108 147 |;
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#X text 127 145 .;
#X text 127 146 .;
#X text 128 147 .;
#X text 128 148 .;
#X text 128 149 .;
#X text 129 150 .;
#X text 129 151 .;
#X text 69 140 +phi <;
#X text 278 154 o-;
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#X text 290 140 .;
#X text 291 140 .;
#X text 292 141 .;
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#X text 298 149 .;
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#X text 278 135 |;
#X text 278 141 |;
#X text 278 147 |;
#X text 288 149 _____;
#X text 291 135 _;
#X text 288 143 |;
#X text 295 135 +theta;
#X text 74 55 theta .. elevation \, geodetical pos. orientation;
#X text 75 42 phi .... azimute in math. pos. orientation;
#X text 373 65 theta = -90 on south pole \;;
#X text 373 75 theta = 0 equator );
#X text 361 55 ( theta = +90 on north pole \;;
#X text 332 42 ( counter clockwise in xy-plane );
#X text 74 67 radius . is always 1;
#X text 253 23 we use the spherical coordinate system;
#X text 109 23 for ambisonic encoding \,;
#X restore 58 71 pd Definition of Coordinate System;
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