diff options
Diffstat (limited to 'externals/gridflow/doc/flow_classes/0x40complex_sq-help.pd')
| -rw-r--r-- | externals/gridflow/doc/flow_classes/0x40complex_sq-help.pd | 52 |
1 files changed, 52 insertions, 0 deletions
diff --git a/externals/gridflow/doc/flow_classes/0x40complex_sq-help.pd b/externals/gridflow/doc/flow_classes/0x40complex_sq-help.pd new file mode 100644 index 00000000..42ca0f5a --- /dev/null +++ b/externals/gridflow/doc/flow_classes/0x40complex_sq-help.pd @@ -0,0 +1,52 @@ +#N canvas 648 0 632 537 10; +#X obj 21 109 @complex_sq; +#X text 176 59 this object computes the square of complex numbers. +if seeing imaginary as Y and real as X \, then this operation squares +the distance of a point from origin and doubles the angle between it +and the +X half-axis clockwise. :); +#X floatatom 21 58 5 0 0 0 - - -; +#X floatatom 21 188 5 0 0 0 - - -; +#X floatatom 64 58 5 0 0 0 - - -; +#X floatatom 58 188 5 0 0 0 - - -; +#X obj 21 78 #pack; +#X obj 114 185 #print; +#X obj 21 159 #unpack; +#X obj 103 488 # +; +#X obj 133 488 # abs-; +#X obj 3 488 doc_also; +#X obj 181 488 # C.sq-; +#X obj 3 324 doc_c 0; +#X obj 3 364 doc_i 1; +#X obj 3 426 doc_o 1; +#X obj 0 0 doc_h; +#X obj 14 456 doc_oo 0; +#X obj 14 394 doc_ii 0; +#X obj 97 394 doc_m i0 grid; +#X obj 97 456 doc_m o0 grid; +#X text 232 394 grid of size (... \, 2); +#X text 232 456 grid of same size; +#X obj 0 508 doc_f; +#X text 178 128 However \, this (old) object is backwards from the +rest of GridFlow because it puts Imaginary before Real. [#fft] puts +the Real part first. Open this abstraction to discover the new way +to square a complex number. (The extra multiplication is the net result +of swapping components before and after the squaring); +#X text 178 212 used on an indexmap (#remap_image) \, this makes each +thing appear twice \, each appearance spanning half of the original +angle. straight lines become hyperbolic \, etc.; +#X text 179 259 In the original version of GridFlow (aka Video4jmax +0.2) \, the first example patch was feedback_fractal \, which used +this operation with a [#remap_image] \, though it was expressed in +much different terms back then.; +#X connect 0 0 7 0; +#X connect 0 0 8 0; +#X connect 2 0 6 0; +#X connect 4 0 6 1; +#X connect 6 0 0 0; +#X connect 8 0 3 0; +#X connect 8 1 5 0; +#X connect 11 1 9 1; +#X connect 11 1 10 0; +#X connect 11 1 12 0; +#X connect 19 1 21 0; +#X connect 20 1 22 0; |