a lot of complex valued matrix computation abstractions: complex matrix

inverse via real valued hermitian matrix, complex-valued division,
complex absolute square, complex multiplication...

and linear and logarithmic sweep abstractions.

svn path=/trunk/externals/iem/iemmatrix/; revision=5871

16 files changed, 1217 insertions, 0 deletions

diff --git a/abs/mtx_.cabs2-help.pd b/abs/mtx_.cabs2-help.pd
new file mode 100644
index 0000000..77c638d
--- /dev/null
+++ b/abs/mtx_.cabs2-help.pd
@@ -0,0 +1,26 @@
+#N canvas 88 457 841 379 10;
+#X text 482 28 part of iemmatrix;
+#X msg 33 172 matrix 1 2 1 2;
+#X msg 49 193 matrix 1 2 0 1;
+#X obj 33 124 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
+-1;
+#X obj 33 148 t b b b b;
+#X obj 33 216 t a a;
+#X text 441 116 inletA: real part of matrix;
+#X text 440 135 inletB: imaginary part of matrix;
+#X text 439 157 outletA: real valued output;
+#X obj 165 216 mtx_print realA;
+#X obj 165 195 mtx_print imagA;
+#X obj 33 280 mtx_print cabs2;
+#X obj 33 242 mtx_.cabs2;
+#X text 44 34 [mtx_.cabs2];
+#X text 166 69 complex valued element wise matrix absolute value;
+#X connect 1 0 5 0;
+#X connect 2 0 12 1;
+#X connect 2 0 10 0;
+#X connect 3 0 4 0;
+#X connect 4 0 1 0;
+#X connect 4 1 2 0;
+#X connect 5 0 12 0;
+#X connect 5 1 9 0;
+#X connect 12 0 11 0;
diff --git a/abs/mtx_.cabs2.pd b/abs/mtx_.cabs2.pd
new file mode 100644
index 0000000..e7831e9
--- /dev/null
+++ b/abs/mtx_.cabs2.pd
@@ -0,0 +1,19 @@
+#N canvas 0 0 450 300 10;
+#X obj 71 39 inlet realA;
+#X obj 152 39 inlet imagA;
+#X obj 71 256 outlet real;
+#X obj 71 204 mtx_+;
+#X obj 71 110 t a a;
+#X obj 125 110 t a a;
+#X obj 125 135 mtx_.*;
+#X obj 71 135 mtx_.*;
+#X text 175 79 complex squared absolute values;
+#X connect 0 0 4 0;
+#X connect 1 0 5 0;
+#X connect 3 0 2 0;
+#X connect 4 0 7 0;
+#X connect 4 1 7 1;
+#X connect 5 0 6 0;
+#X connect 5 1 6 1;
+#X connect 6 0 3 1;
+#X connect 7 0 3 0;
diff --git a/abs/mtx_.cdiv-help.pd b/abs/mtx_.cdiv-help.pd
new file mode 100644
index 0000000..4f86e1d
--- /dev/null
+++ b/abs/mtx_.cdiv-help.pd
@@ -0,0 +1,39 @@
+#N canvas 83 338 841 379 10;
+#X text 482 28 part of iemmatrix;
+#X text 441 116 inletA: real part of first matrix;
+#X text 440 135 inletB: imaginary part of first matrix;
+#X text 441 164 inletC: real part of second matrix;
+#X text 440 183 inletB: imaginary part of second matrix;
+#X msg 33 172 matrix 1 2 1 2;
+#X msg 49 193 matrix 1 2 0 1;
+#X obj 33 124 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
+-1;
+#X obj 33 148 t b b b b;
+#X obj 236 222 mtx_print realY;
+#X obj 240 248 mtx_print imagY;
+#X obj 119 222 mtx_print realX;
+#X obj 123 248 mtx_print imagX;
+#X obj 33 216 t a a;
+#X msg 168 175 matrix 1 2 1 2;
+#X msg 184 196 matrix 1 2 0 -1;
+#X text 44 34 [mtx_.cdiv];
+#X text 166 69 complex valued element wise matrix division;
+#X obj 33 242 mtx_.cdiv;
+#X obj 165 280 mtx_print imagcdiv;
+#X obj 33 280 mtx_print realcdiv;
+#X connect 5 0 13 0;
+#X connect 6 0 12 0;
+#X connect 6 0 18 1;
+#X connect 7 0 8 0;
+#X connect 8 0 5 0;
+#X connect 8 1 6 0;
+#X connect 8 2 14 0;
+#X connect 8 3 15 0;
+#X connect 13 0 18 0;
+#X connect 13 1 11 0;
+#X connect 14 0 9 0;
+#X connect 14 0 18 2;
+#X connect 15 0 10 0;
+#X connect 15 0 18 3;
+#X connect 18 0 20 0;
+#X connect 18 1 19 0;
diff --git a/abs/mtx_.cdiv.pd b/abs/mtx_.cdiv.pd
new file mode 100644
index 0000000..30f8be0
--- /dev/null
+++ b/abs/mtx_.cdiv.pd
@@ -0,0 +1,30 @@
+#N canvas 184 200 688 404 10;
+#X obj 403 118 t a a;
+#X obj 331 118 t a a;
+#X obj 144 257 mtx_./;
+#X obj 202 256 mtx_./;
+#X obj 144 19 inlet realA;
+#X obj 226 19 inlet imagA;
+#X obj 335 19 inlet realB;
+#X obj 417 19 inlet imagB;
+#X obj 361 181 mtx_.cabs2;
+#X obj 403 141 mtx_* -1;
+#X obj 144 182 mtx_.cmul;
+#X obj 144 294 outlet real;
+#X obj 227 294 outlet imag;
+#X text 344 234 element wise complex matrix division;
+#X connect 0 0 9 0;
+#X connect 0 1 8 1;
+#X connect 1 0 10 2;
+#X connect 1 1 8 0;
+#X connect 2 0 11 0;
+#X connect 3 0 12 0;
+#X connect 4 0 10 0;
+#X connect 5 0 10 1;
+#X connect 6 0 1 0;
+#X connect 7 0 0 0;
+#X connect 8 0 3 1;
+#X connect 8 0 2 1;
+#X connect 9 0 10 3;
+#X connect 10 0 2 0;
+#X connect 10 1 3 0;
diff --git a/abs/mtx_.cmul-help.pd b/abs/mtx_.cmul-help.pd
new file mode 100644
index 0000000..d7c2f75
--- /dev/null
+++ b/abs/mtx_.cmul-help.pd
@@ -0,0 +1,39 @@
+#N canvas 83 338 841 379 10;
+#X text 482 28 part of iemmatrix;
+#X text 441 116 inletA: real part of first matrix;
+#X text 440 135 inletB: imaginary part of first matrix;
+#X text 441 164 inletC: real part of second matrix;
+#X text 440 183 inletB: imaginary part of second matrix;
+#X msg 33 172 matrix 1 2 1 2;
+#X msg 49 193 matrix 1 2 0 1;
+#X obj 33 124 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
+-1;
+#X obj 33 148 t b b b b;
+#X obj 236 222 mtx_print realY;
+#X obj 240 248 mtx_print imagY;
+#X obj 119 222 mtx_print realX;
+#X obj 123 248 mtx_print imagX;
+#X obj 33 216 t a a;
+#X text 44 34 [mtx_.cmul];
+#X msg 168 175 matrix 1 2 1 2;
+#X msg 184 196 matrix 1 2 0 -1;
+#X obj 33 242 mtx_.cmul;
+#X obj 33 280 mtx_print realcmul;
+#X obj 163 280 mtx_print imagcmul;
+#X text 166 69 complex valued element wise matrix multiplication;
+#X connect 5 0 13 0;
+#X connect 6 0 17 1;
+#X connect 6 0 12 0;
+#X connect 7 0 8 0;
+#X connect 8 0 5 0;
+#X connect 8 1 6 0;
+#X connect 8 2 15 0;
+#X connect 8 3 16 0;
+#X connect 13 0 17 0;
+#X connect 13 1 11 0;
+#X connect 15 0 9 0;
+#X connect 15 0 17 2;
+#X connect 16 0 10 0;
+#X connect 16 0 17 3;
+#X connect 17 0 18 0;
+#X connect 17 1 19 0;
diff --git a/abs/mtx_.cmul.pd b/abs/mtx_.cmul.pd
new file mode 100644
index 0000000..2c76c26
--- /dev/null
+++ b/abs/mtx_.cmul.pd
@@ -0,0 +1,32 @@
+#N canvas 0 0 555 380 10;
+#X obj 129 110 mtx_.*;
+#X obj 212 108 mtx_.*;
+#X obj 397 125 mtx_.*;
+#X obj 349 126 mtx_.*;
+#X obj 129 136 mtx_-;
+#X obj 349 149 mtx_+;
+#X text 184 2 complex matrix multiplication (component wise);
+#X obj 211 52 t a a;
+#X obj 129 54 t a a;
+#X obj 129 30 inlet realA;
+#X obj 211 30 inlet imagA;
+#X obj 344 30 inlet realB;
+#X obj 426 30 inlet imagB;
+#X obj 129 182 outlet real;
+#X obj 349 180 outlet imag;
+#X connect 0 0 4 0;
+#X connect 1 0 4 1;
+#X connect 2 0 5 1;
+#X connect 3 0 5 0;
+#X connect 4 0 13 0;
+#X connect 5 0 14 0;
+#X connect 7 0 1 0;
+#X connect 7 1 2 0;
+#X connect 8 0 0 0;
+#X connect 8 1 3 0;
+#X connect 9 0 8 0;
+#X connect 10 0 7 0;
+#X connect 11 0 2 1;
+#X connect 11 0 0 1;
+#X connect 12 0 3 1;
+#X connect 12 0 1 1;
diff --git a/abs/mtx_cabs2-help.pd b/abs/mtx_cabs2-help.pd
new file mode 100644
index 0000000..3ffba68
--- /dev/null
+++ b/abs/mtx_cabs2-help.pd
@@ -0,0 +1,26 @@
+#N canvas 88 457 841 379 10;
+#X text 482 28 part of iemmatrix;
+#X obj 33 124 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
+-1;
+#X obj 33 148 t b b b b;
+#X obj 33 216 t a a;
+#X text 441 116 inletA: real part of matrix;
+#X text 440 135 inletB: imaginary part of matrix;
+#X text 439 157 outletA: real valued output;
+#X obj 165 216 mtx_print realA;
+#X obj 165 195 mtx_print imagA;
+#X obj 33 280 mtx_print cabs2;
+#X text 44 34 [mtx_cabs2];
+#X text 166 69 complex valued matrix absolute value;
+#X obj 33 242 mtx_cabs2;
+#X msg 33 172 matrix 2 1 1 2;
+#X msg 49 193 matrix 2 1 0 1;
+#X connect 1 0 2 0;
+#X connect 2 0 13 0;
+#X connect 2 1 14 0;
+#X connect 3 0 12 0;
+#X connect 3 1 7 0;
+#X connect 12 0 9 0;
+#X connect 13 0 3 0;
+#X connect 14 0 8 0;
+#X connect 14 0 12 1;
diff --git a/abs/mtx_cabs2.pd b/abs/mtx_cabs2.pd
new file mode 100644
index 0000000..51f3091
--- /dev/null
+++ b/abs/mtx_cabs2.pd
@@ -0,0 +1,25 @@
+#N canvas 0 0 450 300 10;
+#X obj 71 135 mtx_*;
+#X obj 71 39 inlet realA;
+#X obj 152 39 inlet imagA;
+#X obj 71 256 outlet real;
+#X obj 71 204 mtx_+;
+#X obj 71 82 t a a;
+#X obj 152 83 t a a;
+#X text 175 66 complex squared absolute value;
+#X obj 71 109 mtx_transpose;
+#X obj 152 131 mtx_transpose;
+#X obj 152 155 mtx_* -1;
+#X obj 152 175 mtx_*;
+#X connect 0 0 4 0;
+#X connect 1 0 5 0;
+#X connect 2 0 6 0;
+#X connect 4 0 3 0;
+#X connect 5 0 8 0;
+#X connect 5 1 0 1;
+#X connect 6 0 9 0;
+#X connect 6 1 11 1;
+#X connect 8 0 0 0;
+#X connect 9 0 10 0;
+#X connect 10 0 11 0;
+#X connect 11 0 4 1;
diff --git a/abs/mtx_cinverse-help.pd b/abs/mtx_cinverse-help.pd
new file mode 100644
index 0000000..c64368d
--- /dev/null
+++ b/abs/mtx_cinverse-help.pd
@@ -0,0 +1,42 @@
+#N canvas 210 487 841 379 10;
+#X text 482 28 part of iemmatrix;
+#X obj 36 61 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
+-1;
+#X obj 76 153 mtx_print realX;
+#X obj 186 154 mtx_print imagX;
+#X obj 36 153 t a a;
+#X text 44 34 [mtx_cinverse];
+#X text 166 69 complex valued matrix inverse;
+#X text 441 116 inletA: real part of matrix;
+#X text 440 135 inletB: imaginary part of matrix;
+#X obj 36 179 mtx_cinverse;
+#X obj 36 218 mtx_print realcinv;
+#X obj 167 218 mtx_print imagcinv;
+#X obj 36 85 t b b;
+#X obj 300 217 print instability_detected;
+#X obj 139 276 mtx_cmul;
+#X msg 37 104 2 2;
+#X msg 66 104 2 2;
+#X obj 36 129 mtx_rand;
+#X obj 96 129 mtx_rand;
+#X obj 139 296 mtx_print eye_re;
+#X obj 256 296 mtx_print eye_im;
+#X connect 1 0 12 0;
+#X connect 4 0 9 0;
+#X connect 4 1 3 0;
+#X connect 4 1 14 2;
+#X connect 9 0 10 0;
+#X connect 9 0 14 0;
+#X connect 9 1 11 0;
+#X connect 9 1 14 1;
+#X connect 9 2 13 0;
+#X connect 12 0 15 0;
+#X connect 12 1 16 0;
+#X connect 14 0 19 0;
+#X connect 14 1 20 0;
+#X connect 15 0 17 0;
+#X connect 16 0 18 0;
+#X connect 17 0 4 0;
+#X connect 18 0 2 0;
+#X connect 18 0 9 1;
+#X connect 18 0 14 3;
diff --git a/abs/mtx_cinverse.pd b/abs/mtx_cinverse.pd
new file mode 100644
index 0000000..f374c87
--- /dev/null
+++ b/abs/mtx_cinverse.pd
@@ -0,0 +1,109 @@
+#N canvas 544 483 588 201 10;
+#X obj 83 28 inlet realA;
+#X obj 168 28 inlet imagA;
+#X obj 83 93 mtx_inverse;
+#X obj 369 164 outlet instability_detection;
+#X obj 83 165 outlet real;
+#X obj 281 164 outlet imag;
+#N canvas 0 0 652 418 mtx_cplx_to_real_hermitian 0;
+#X obj 351 32 inlet imag;
+#X obj 87 35 inlet real;
+#X obj 101 364 outlet;
+#X obj 351 52 t a a;
+#X obj 418 52 mtx_size;
+#X obj 418 72 * 2;
+#X obj 469 72 * 2;
+#X obj 418 92 pack;
+#X obj 418 113 mtx_zeros;
+#X obj 117 318 mtx_fill;
+#X obj 87 55 t b a;
+#X msg 175 141 matrix 1 1;
+#X obj 117 119 t a b a b;
+#X obj 136 189 pack 1 f f;
+#X msg 136 209 matrix \$2 \$3;
+#X obj 101 344 mtx;
+#X obj 480 52 + 1;
+#X obj 391 52 + 1;
+#X obj 269 147 t a b a b;
+#X obj 327 168 f;
+#X obj 288 189 f;
+#X msg 327 189 matrix \$1 1;
+#X msg 288 209 matrix 1 \$1;
+#X obj 226 209 mtx_* -1;
+#X connect 0 0 3 0;
+#X connect 1 0 10 0;
+#X connect 3 0 18 0;
+#X connect 3 1 4 0;
+#X connect 4 0 5 0;
+#X connect 4 0 17 0;
+#X connect 4 1 6 0;
+#X connect 4 1 16 0;
+#X connect 5 0 7 0;
+#X connect 6 0 7 1;
+#X connect 7 0 8 0;
+#X connect 8 0 9 1;
+#X connect 9 0 15 1;
+#X connect 10 0 15 0;
+#X connect 10 1 12 0;
+#X connect 11 0 9 2;
+#X connect 12 0 9 0;
+#X connect 12 1 13 0;
+#X connect 12 2 9 0;
+#X connect 12 3 11 0;
+#X connect 13 0 14 0;
+#X connect 14 0 9 2;
+#X connect 15 0 2 0;
+#X connect 16 0 13 2;
+#X connect 16 0 19 1;
+#X connect 17 0 13 1;
+#X connect 17 0 20 1;
+#X connect 18 0 23 0;
+#X connect 18 1 20 0;
+#X connect 18 2 9 0;
+#X connect 18 3 19 0;
+#X connect 19 0 21 0;
+#X connect 20 0 22 0;
+#X connect 21 0 9 2;
+#X connect 22 0 9 2;
+#X connect 23 0 9 0;
+#X restore 83 59 pd mtx_cplx_to_real_hermitian;
+#N canvas 0 0 450 300 mtx_real_hermitian_to_cplx 0;
+#X obj 170 18 inlet;
+#X obj 170 272 outlet real;
+#X obj 253 272 outlet imag;
+#X obj 226 47 mtx_size;
+#X obj 277 68 / 2;
+#X obj 226 69 / 2;
+#X obj 254 112 + 1;
+#X obj 254 132 pack;
+#X msg 254 163 \$1 1 end \$2;
+#X obj 253 191 mtx_slice;
+#X obj 170 47 t a a a;
+#X obj 170 189 mtx_slice;
+#X msg 176 163 1 1 \$1 \$2;
+#X obj 176 142 pack;
+#X connect 0 0 10 0;
+#X connect 3 0 5 0;
+#X connect 3 1 4 0;
+#X connect 4 0 7 1;
+#X connect 4 0 13 1;
+#X connect 5 0 6 0;
+#X connect 5 0 13 0;
+#X connect 6 0 7 0;
+#X connect 7 0 8 0;
+#X connect 8 0 9 1;
+#X connect 9 0 2 0;
+#X connect 10 0 11 0;
+#X connect 10 1 9 0;
+#X connect 10 2 3 0;
+#X connect 11 0 1 0;
+#X connect 12 0 11 1;
+#X connect 13 0 12 0;
+#X restore 83 122 pd mtx_real_hermitian_to_cplx;
+#X connect 0 0 6 0;
+#X connect 1 0 6 1;
+#X connect 2 0 7 0;
+#X connect 2 1 3 0;
+#X connect 6 0 2 0;
+#X connect 7 0 4 0;
+#X connect 7 1 5 0;
diff --git a/abs/mtx_cmul-help.pd b/abs/mtx_cmul-help.pd
new file mode 100644
index 0000000..4c2acbd
--- /dev/null
+++ b/abs/mtx_cmul-help.pd
@@ -0,0 +1,39 @@
+#N canvas 83 338 841 379 10;
+#X text 482 28 part of iemmatrix;
+#X text 44 34 [mtx_cmul];
+#X text 166 69 complex valued matrix multiplication;
+#X text 441 116 inletA: real part of first matrix;
+#X text 440 135 inletB: imaginary part of first matrix;
+#X text 441 164 inletC: real part of second matrix;
+#X text 440 183 inletB: imaginary part of second matrix;
+#X obj 33 242 mtx_cmul;
+#X msg 33 172 matrix 1 2 1 2;
+#X msg 49 193 matrix 1 2 0 1;
+#X obj 33 124 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
+-1;
+#X obj 33 148 t b b b b;
+#X obj 236 222 mtx_print realY;
+#X obj 240 248 mtx_print imagY;
+#X obj 119 222 mtx_print realX;
+#X obj 123 248 mtx_print imagX;
+#X msg 168 175 matrix 2 1 1 2;
+#X msg 184 196 matrix 2 1 0 -1;
+#X obj 33 216 t a a;
+#X obj 33 281 mtx_print realcmul;
+#X obj 164 281 mtx_print imagcmul;
+#X connect 7 0 19 0;
+#X connect 7 1 20 0;
+#X connect 8 0 18 0;
+#X connect 9 0 7 1;
+#X connect 9 0 14 0;
+#X connect 10 0 11 0;
+#X connect 11 0 8 0;
+#X connect 11 1 9 0;
+#X connect 11 2 16 0;
+#X connect 11 3 17 0;
+#X connect 16 0 12 0;
+#X connect 16 0 7 2;
+#X connect 17 0 13 0;
+#X connect 17 0 7 3;
+#X connect 18 0 7 0;
+#X connect 18 1 15 0;
diff --git a/abs/mtx_cmul.pd b/abs/mtx_cmul.pd
new file mode 100644
index 0000000..bd42a73
--- /dev/null
+++ b/abs/mtx_cmul.pd
@@ -0,0 +1,31 @@
+#N canvas 429 314 450 300 10;
+#X obj 71 135 mtx_*;
+#X obj 152 135 mtx_*;
+#X obj 71 81 t a a;
+#X obj 235 137 mtx_*;
+#X obj 235 215 mtx_+;
+#X obj 298 137 mtx_*;
+#X obj 152 81 t a a;
+#X obj 71 204 mtx_-;
+#X obj 71 39 inlet realA;
+#X obj 152 39 inlet imagA;
+#X obj 236 39 inlet realB;
+#X obj 318 39 inlet imagB;
+#X obj 71 256 outlet real;
+#X obj 235 256 outlet imag;
+#X connect 0 0 7 0;
+#X connect 1 0 7 1;
+#X connect 2 0 0 0;
+#X connect 2 1 3 0;
+#X connect 3 0 4 0;
+#X connect 4 0 13 0;
+#X connect 5 0 4 1;
+#X connect 6 0 1 0;
+#X connect 6 1 5 0;
+#X connect 7 0 12 0;
+#X connect 8 0 2 0;
+#X connect 9 0 6 0;
+#X connect 10 0 0 1;
+#X connect 10 0 5 1;
+#X connect 11 0 1 1;
+#X connect 11 0 3 1;
diff --git a/abs/mtx_linsweep-help.pd b/abs/mtx_linsweep-help.pd
new file mode 100644
index 0000000..e2593ef
--- /dev/null
+++ b/abs/mtx_linsweep-help.pd
@@ -0,0 +1,61 @@
+#N canvas 439 163 841 379 10;
+#X text 482 28 part of iemmatrix;
+#N canvas 0 0 450 300 convert2tablemsg 0;
+#X obj 130 35 inlet;
+#X obj 169 216 outlet;
+#X obj 130 60 t a a;
+#X obj 160 82 mtx_size;
+#X obj 130 107 list split 3;
+#X obj 220 107 change;
+#X msg 220 129 resize \$1;
+#X obj 169 154 list prepend 0;
+#X connect 0 0 2 0;
+#X connect 2 0 4 0;
+#X connect 2 1 3 0;
+#X connect 3 1 5 0;
+#X connect 4 1 7 0;
+#X connect 5 0 6 0;
+#X connect 6 0 1 0;
+#X connect 7 0 1 0;
+#X restore 33 284 pd convert2tablemsg;
+#N canvas 0 0 450 300 (subpatch) 0;
+#X array view_sweep 200 float 1;
+#A 0 0 1.32248e-06 0.0157889 0.0473469 0.094585 0.15722 0.234604 0.325494
+0.427787 0.538234 0.652155 0.763227 0.86339 0.942954 0.991013 0.996231
+0.948081 0.838516 0.664015 0.427757 0.141581 -0.172809 -0.483988 -0.752941
+-0.937585 -0.999719 -0.913747 -0.675729 -0.310488 0.125992 0.55149
+0.871257 0.99972 0.886284 0.538192 0.0315308 -0.497753 -0.88632 -0.994736
+-0.763191 -0.249872 0.369925 0.855333 0.992993 0.698652 0.0788055 -0.590375
+-0.977385 -0.863358 -0.280308 0.470134 0.957668 0.871215 0.234547 -0.564605
+-0.993005 -0.731736 0.0631605 0.82094 0.952972 0.325434 -0.577567 -0.999968
+-0.551413 0.399083 0.988783 0.640052 -0.340429 -0.986303 -0.615477
+0.413512 0.999224 0.470037 -0.603052 -0.9739 -0.172722 0.847058 0.802436
+-0.280414 -0.998477 -0.369825 0.773364 0.829785 -0.310579 -0.99847
+-0.188251 0.913786 0.590284 -0.675799 -0.84699 0.384568 0.970194 -0.110352
+-0.999969 -0.110213 0.980607 0.265104 -0.94811 -0.355108 0.926156 0.384445
+-0.926154 -0.355112 0.948106 0.265106 -0.980605 -0.110221 0.999969
+-0.110347 -0.970195 0.384566 0.84699 -0.675802 -0.590286 0.913785 0.18825
+-0.99847 0.310578 0.829785 -0.773365 -0.369826 0.998478 -0.280408 -0.802439
+0.847054 0.172725 -0.973901 0.603052 0.470039 -0.999224 0.413512 0.615466
+-0.986302 0.340433 0.640048 -0.988782 0.399086 0.551423 -0.999968 0.577561
+0.325436 -0.952975 0.820944 -0.0631564 -0.73173 0.993005 -0.564609
+-0.234557 0.87121 -0.957665 0.470142 0.280307 -0.863358 0.977386 -0.590374
+-0.0788057 0.698658 -0.992993 0.85533 -0.36993 -0.249882 0.763194 -0.994736
+0.886318 -0.497746 -0.031524 0.538195 -0.88628 0.99972 -0.871259 0.551493
+-0.126001 -0.310483 0.675724 -0.913747 0.999719 -0.937586 0.752949
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+#X coords 0 1 3999 -1 200 50 1;
+#X restore 326 228 graph;
+#X text 43 34 [mtx_logsweep];
+#X obj 33 306 s view_sweep;
+#X obj 33 165 mtx_logsweep;
+#X msg 33 143 0.01 3.14159 4000;
+#X text 166 69 creates an n sample logarithmic sweep starting and stopping
+specified (digital) frequencies - note that "0" does _not_ work \,
+since log(0)=-inf.;
+#X text 268 138 list inlet: [omega_start omega_stop n_samples(;
+#X text 268 157 outletA: vector containing sweep;
+#X connect 1 0 4 0;
+#X connect 5 0 1 0;
+#X connect 6 0 5 0;
diff --git a/abs/mtx_logsweep.pd b/abs/mtx_logsweep.pd
new file mode 100644
index 0000000..7cc0bb3
--- /dev/null
+++ b/abs/mtx_logsweep.pd
@@ -0,0 +1,64 @@
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+#X text 187 209 instantaneous frequency;
+#X text 188 229 time dependent phase-angle argument;
+#X text 191 316 sweeped cos-oscillation;
+#N canvas 0 0 661 488 smooth_switches 0;
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+#X obj 165 368 outlet;
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+#X obj 272 79 t b a a a;
+#X obj 165 50 t a a;
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+#X msg 283 150 element 1 \$1;
+#X msg 235 101 element 1 1;
+#X obj 283 213 expr -int($f1/3.14159265)*3.14159265+$f1;
+#X text 397 192 modulo pi;
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+#X restore 94 284 pd smooth_switches (on and off zero-phase);
+#X text 189 261 force zero-crossing at start and end;
+#X obj 94 441 outlet;
+#X text 103 422 sweep vector;
+#X text 185 396 forming matrix with blocksize columns for playback
+;
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+#X text 147 36 wstop;
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