-
Notifications
You must be signed in to change notification settings - Fork 1
/
FractalMaps.cpp
8533 lines (7078 loc) · 497 KB
/
FractalMaps.cpp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
/*
FRACTALMAPS.CPP a module to explore Fractal Maps
Written in Microsoft Visual C++ by Paul de Leeuw.
*/
#include <stdio.h>
#include <time.h>
#include "manp.h"
#include "Fract.h"
#include "resource.h"
#include "fractype.h"
#include "fractalp.h"
#include "menu.h"
#include "anim.h"
#include "OscProcess.h"
#define sign(x) (((x)>0)?1:((x)<0)?-1:0)
#define MAXREAL 1E+10
BOOL FractalMapColouring = TRUE;
extern double param[];
extern int curpass, totpasses;
extern double iterations;
extern long threshold;
extern int OscillatorNum;
extern int OscPtrArray[]; // array of pointers to specific oscillators or fractal maps
extern double dt; // delta time
extern double mandel_width; // width of display
extern double ScreenRatio; // ratio of width / height for the screen
extern WORD type; // fractal type
extern int subtype;
extern double hor; // horizontal address
extern double vert; // vertical address
extern double VertBias; // allow vertical stretching of the image
extern double zBias; // allow stretching of the image in the z direction
extern int CoordSystem;
extern double x_rot; // angle display plane to x axis
extern double y_rot; // angle display plane to y axis
extern double z_rot; // angle display plane to z axis
extern ProcessType OscAnimProc;
extern RGBTRIPLE OscBackGround;
extern BYTE PerspectiveFlag; // display using perspective
extern int xAxis, yAxis, zAxis; // numerical values for axes for chaotic oscillators
extern BOOL RemoveHiddenPixels;
extern int xdots, ydots;
extern double *wpixels; // an array of doubles holding slope modified iteration counts
extern CTrueCol TrueCol; // palette info
extern COscProcess OscProcess;
extern CDib Dib; // Device Independent Bitmap
extern HWND GlobalHwnd; // This is the main windows handle
void InitFractalMap(double c1[], int dimensions);
int DisplayFractalMap(double c1[], DWORD colour, double i, int dimensions, double ColourFactor);
extern int user_data(HWND);
extern void PlotExtras(void);
extern void PrintOsc(int); // used for listing oscillator names in d:\temp\OscDump.txt
/**************************************************************************
2D Circular Chaotic Fractal Map Images
***************************************************************************/
int Do2DCircular(void)
{
double i, c1[3], xn, yn, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
ColourFactor = param[0];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i += dt)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
xn = oldy;
yn = (1 - (oldx*oldx) - (oldy*oldy))*oldy - oldx;
c1[0] += xn * dt;
c1[1] += yn * dt;
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
2D-MAP-Modelo - Experimental
Marcus Rezende november 2020
***************************************************************************/
int Do2DMAPModeloExperimental(void)
{
double i, c1[3], k, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
k = param[0];
ColourFactor = param[1];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = oldx - oldy + k * oldy * cos(1 - oldy);
c1[1] = sin(oldy + c1[0] + oldx);
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
2D Logistic-Sine-Coupling Map for Image Encryption
Zhongyun Hua, Fan Jin, Binxuan Xu and Hejiao Huang 16 March 2018
http://www.huazhongyun.cn/wp-content/themes/homepage/Paper_PDF/2D%20Logistic-Sine-Coupling%20Map%20for%20Image%20Encryption.pdf
***************************************************************************/
int Do2DLogisticSineCouplingMapImageEncryption(void)
{
double i, c1[3], r, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
r = param[0];
ColourFactor = param[1];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = sin(PI * (4 * r * oldx * (1 - oldx) + (1 - r) * sin(PI * oldy)));
c1[1] = sin(PI * (4 * r * oldy * (1 - oldy) + (1 - r) * sin(PI * c1[0])));
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
2D Memristive Hyperchaotic Maps and Application in Secure Communication - model 2D MLM, MTM,
Houzhen Li, Zhongyun Hua, Han Bao, Lei Zhu, Mo Chen, Bocheng Bao 2020
Sent to ManpWIN by Houzhen Li through https://www.researchgate.net/requests/r87275758
***************************************************************************/
#define MLM 0
#define MTM 1
#define SMM 2
#define MSN 3
int Do2DMemristiveHyperchaoticMaps(int variety)
{
double i, c1[3], mu, k, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
mu = param[0];
k = param[1];
ColourFactor = param[2];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
switch (variety)
{
case MLM:
c1[0] = mu * oldx * (1 - oldx) + k * oldx * cos(oldy);
break;
case MTM:
c1[0] = (oldx < 0.5) ? mu * oldx + k * oldx * cos(oldy) : mu * (1 - oldx) + k * oldx * cos(oldy);
break;
case SMM:
c1[0] = mu * oldx + k * oldx * cos(oldy);
break;
case MSN:
c1[0] = mu * sin(2 * PI * oldx) + k * oldx * cos(oldy);
break;
}
c1[1] = oldx + oldy;
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
int Do2DMemristiveHyperchaoticMapsMLM(void)
{
return Do2DMemristiveHyperchaoticMaps(MLM);
}
int Do2DMemristiveHyperchaoticMapsMTM(void)
{
return Do2DMemristiveHyperchaoticMaps(MTM);
}
int Do2DMemristiveHyperchaoticMapsSMM(void)
{
return Do2DMemristiveHyperchaoticMaps(SMM);
}
int Do2DMemristiveHyperchaoticMapsMSN(void)
{
return Do2DMemristiveHyperchaoticMaps(MSN);
}
/**************************************************************************
2D Logistic-Modulated-Sine-Coupling-Logistic Chaotic Map for Image Encryption
Hegui Zhu, Yiran Zhao and Yujia Song 21 January 2019
https://ieeexplore.ieee.org/document/8620223/authors#authors
***************************************************************************/
int Do2DLogisticModulatedSineCouplingLogisticChaoticMap(void)
{
double i, c1[3], alpha, beta, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
alpha = param[0];
beta = param[1];
ColourFactor = param[2];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = (sin(4.0 * PI * alpha * oldy * (1.0 - oldy)) + beta) * oldx * (1.0 - oldx);
c1[1] = (sin(4.0 * PI * alpha * c1[0] * (1.0 - c1[0])) + beta) * oldy * (1.0 - oldy);
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
2D Rational Chaotic Fractal Map
***************************************************************************/
int Do2DRational(void)
{
double i, c1[3], a, b, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
a = param[0];
b = param[1];
ColourFactor = param[2];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = (-a * oldx) / (1 + (c1[1] * c1[1]));
c1[1] = oldx + b * c1[1];
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
2D SIMM Map
***************************************************************************/
int Do2DSIMMMap(void)
{
double i, c1[3], a, b, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
a = param[0];
b = param[1];
ColourFactor = param[2];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = a * sin(PI * oldy) * sin(b / oldx);
c1[1] = a * sin(PI * c1[0]) * sin(b / oldy);
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
2D Sine Logistic Modulation Map for Image Encryption
Zhongyun Hua, Yicong Zhou, Chi-Man Pun and C.L. Philip Chen' 15 November 2014
http://huazhongyun.cn/wp-content/themes/homepage/Paper_PDF/2D%20Sine%20Logistic%20modulation%20map%20for%20image%20encryption.pdf
***************************************************************************/
int Do2DSineLogisticModulationMap(void)
{
double i, c1[3], a, b, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
a = param[0];
b = param[1];
ColourFactor = param[2];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = a * (sin(PI *oldy) + b) * oldx * (1 - oldx);
c1[1] = a * a * (sin(PI * c1[0]) + b) * oldy * (1 - oldy);
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
A 2D Hyperchaotic Map with Conditional Symmetry and Attractor Growth
Sixiao Kong, Chunbiao Li, Haibo Jiang, Qiang Lai and Xiaowei Jiang 15 April 2021
Sent to ManpWIN by Chunbiao Li through https://aip.scitation.org/doi/full/10.1063/5.0043458
***************************************************************************/
int DoA2DHyperchaoticMapConditionalSymmetryAttractorGrowth(void)
{
double i, c1[3], a, b, c, d, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
a = param[0];
b = param[1];
c = param[2];
d = param[3];
ColourFactor = param[4];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = oldx + a * sin(oldx) * sin(oldy) + c;
c1[1] = b * oldx + oldy + d;
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
Anti-Martin: a Variation of the fractal 'MARTIN' formula in Fractint 20
Fractint 20 2020
DOSBox SVN, CPU speed: 3000 cycles, Frameskip 0, Program: FRACTINT (archive.org)
***************************************************************************/
int DoAntiMartinMap(void)
{
double i, c1[3], a, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
a = param[0];
ColourFactor = param[1];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = oldy - cos(oldx);
c1[1] = a - oldx;
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
A Color Image Encryption Algorithm based on Hyperchaotic Map and Rubik's Cube-Modified Formula
Haojie Qiu, Xuemei Xu, Zhaohui Jiang, Kehui Sun and Chuwen Xiao 20 July 2022
https://doi.org/10.1007/s11071-022-07756-1 - Received directly from Kahui Sun
***************************************************************************/
int DoAColorImageEncryptionAlgorithmMap(void)
{
double i, c1[3], a, b, c, d, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
a = param[0];
b = param[1];
c = param[2];
d = param[3];
ColourFactor = param[4];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = cos(a * acos(sin(oldx + oldy))); // changed the sign.The original was Cos(a* _Acos(Sin(x(1) - x(2))))
c1[1] = b * sin(PI * (oldx + oldy));
c1[2] = c * sqrt(sqr(sin(oldx)) + d * sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 3, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
A Higher Dimensional Chaotic Map with Discrete Memristor - 3D-model 2
Yuexi Peng, Shaobo He and Kehui Sun 21 November 2020
Sent to ManpWIN by Kehui Sun although missing a lot of parameters such as 'w', 'b'and 'k' that after a lot of trial I got something
***************************************************************************/
int DoAHigherDimensionalChaoticMap2(void)
{
double i, c1[3], a, c, w, k, b, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
a = param[0];
c = param[1];
w = param[2];
k = param[3];
b = param[4];
ColourFactor = param[5];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
double oldz = c1[2];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = a * sin(w * oldy) * sin(c / (oldx * (a - b * oldz)));
c1[1] = a * sin(w * c1[0]) * sin(c / oldx);
c1[2] = oldz + k * c1[0];
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
A Higher Dimensional Chaotic Map with Discrete Memristor - 3D-model 3
Yuexi Peng, Shaobo He and Kehui Sun 21 November 2020
Sent to ManpWIN by Kehui Sun although missing a lot of parameters such as 'w', 'b'and 'k' that after a lot of trial I got something
***************************************************************************/
int DoAHigherDimensionalChaoticMap3(void)
{
double i, c1[3], a, c, w, k, b, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
a = param[0];
c = param[1];
w = param[2];
k = param[3];
b = param[4];
ColourFactor = param[5];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
double oldz = c1[2];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = a * sin(w * oldy) * sin(c / oldx);
c1[1] = a * sin(w * c1[0]) * sin(c / (oldy * (a - b * oldz)));
c1[2] = oldz + k * c1[1];
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
A Hyperchaotic Map with Grid Sinusoidal Cavity
Mengyao Yu, Kehui Sun, Wenhao Liu and Shaobo He 20 November 2017
https://www.sciencedirect.com/science/article/pii/S0960077917304599?via%3Dihub
***************************************************************************/
int DoAHyperchaoticMap(void)
{
double t, c1[3], a, w, c, h, i, k, s1, s2, r1, r2, r3, ColourFactor;
int n;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
a = param[0];
n = (int)param[1];
w = param[2];
c = param[3];
k = param[4];
ColourFactor = param[5];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (t = 0; t < iterations; t++)
{
double oldx = c1[0];
double oldy = c1[1];
double oldz = c1[2];
h = 0.0;
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(t * totpasses / iterations);
if (n % 2 == 0)
{
for (i = 1; i <= n; i++)
{
s1 = fabs(n / a * oldx + 2 * i - 1) / (n / a * oldx + 2 * i - 1);
s2 = fabs(n / a * oldx - 2 * i - 1) / (n / a * oldx - 2 * i - 1);
h = h + s1 + s2;
}
h *= a;
}
else
{
for (i = 1; i <= n; i++)
{
r1 = fabs(n / a * oldx - 2 * i) / (n / a * oldx - 2 * i);
r2 = fabs(n / a * oldx + 2 * i) / (n / a * oldx + 2 * i);
h = r1 + r2;
}
r3 = a * fabs(n / a * oldx) / (n / a * oldx);
h = a * h + r3;
}
c1[0] = a * sin(w * c1[2]) * sin(c / oldx);
c1[1] = a * sin(w * c1[0]) * sin(c / oldy);
c1[2] = a * sin(w * c1[1]) * sin(c / oldz) + h;
if (DisplayFractalMap(c1, ((DWORD)i % threshold), t, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
A Lightweight Image Encryption Algorithm Based on Message Passing and Chaotic Map
Hui Liu, Bo Zhao, Jianwen Zou, Linquan Huang and Yifan Liu 25 Jul 2020
https://www.hindawi.com/journals/scn/2020/7151836/
***************************************************************************/
int DoALightweightImageEncryptionAlgorithmMap(void)
{
double t, c1[3], r1, r2, C1, C2, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
r1 = param[0];
r2 = param[1];
C1 = param[2];
C2 = param[3];
ColourFactor = param[4];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (t = 0; t < iterations; t++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(t * totpasses / iterations);
c1[0] = r1 * oldx * (1 - oldx) + C1 * oldy * oldy;
c1[1] = r2 * oldy * (1 - oldy) + C2 * (oldx * oldx + oldx * oldy);
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)t % threshold), t, 3, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
A New Chaotic Attractor from 2D Discrete Mapping Via Border-Collision Period-Doubling Scenario
ZERAOULIA ELHADJ 12 April 2005
http://emis.ams.org/journals/HOA/DDNS/2005/3235.pdf
***************************************************************************/
int DoANewChaoticAttractorDiscreteMapping(void)
{
double i, c1[3], a, b, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
a = param[0];
b = param[1];
ColourFactor = param[2];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
double oldz = c1[2];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = 1 + a * (fabs(oldx) - oldy * oldy) + oldy;
c1[1] = b * oldx;
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
A New Chaotic Map for Secure Transmission
Hamsa A. Abdullah and Hikmat N. Abdullah June 2018
https://www.researchgate.net/publication/324603707_A_New_Chaotic_Map_for_Secure_Transmission
***************************************************************************/
int DoANewChaoticMapSecureTransmission(void)
{
double i, c1[3], a, b, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
a = param[0];
b = param[1];
ColourFactor = param[2];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
double oldz = c1[2];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = 1 - a * oldx * oldy - oldx * oldx - oldy * oldy;
c1[1] = oldx;
c1[2] = oldy - b * oldz;
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
A New Class of Two-dimensional Chaotic Maps with Closed Curve Fixed Points
HAIBO JIANG, YANG LIU, ZHOUCHAO WEI and LIPING ZHANG 01 February 2019.
Received from Research gate
***************************************************************************/
int DoANewClass2DChaoticMaps(void)
{
double i, c1[3], a, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
a = param[0];
ColourFactor = param[1];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = oldx + 1.2 * (oldx * oldx + oldy * oldy - 1);
c1[1] = oldy + a * oldy * (oldx * oldx + oldy * oldy - 1);
c1[2] = sqrt(sqr(sin(oldx)) + sqr(cos(oldy)));
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
A New Class of Three-Dimensional Maps with Hidden Chaotic Dynamics - NF-I1
Haibo Jiang, Yang Liu, Zhouchao Wei, Liping Zhang July 30, 2016
https://www.researchgate.net/publication/306108761_A_new_class_of_three-dimensional_maps_with_hidden_chaotic_dynamics
***************************************************************************/
int DoANewClassThreeDimensionalMaps(int nf)
{
double i, c1[3], cn[3], ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = param[12]; // z
ColourFactor = param[0];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
cn[0] = c1[1];
cn[1] = c1[2];
switch (nf)
{
case 1:
cn[2] = c1[0] - c1[1] * c1[0] + c1[0] * c1[2] + 0.5;
break;
case 2:
cn[2] = c1[0] + c1[0] * c1[0] + c1[2] * c1[2] - 2 * c1[0] * c1[1] - 0.2;
break;
case 3:
cn[2] = 1.7 * c1[0] - 0.7 * c1[2] + c1[2] * c1[2] - c1[0] * c1[1] - 0.3;
break;
case 4:
cn[2] = 1.07 * c1[0] - 0.07 * c1[2] - c1[0] * c1[1] + c1[0] * c1[2] + 0.28;
break;
case 5:
cn[2] = c1[0] + 0.2 * c1[0] * c1[0] + 0.8 * c1[1] * c1[1] - c1[0] * c1[2] - 0.1;
break;
case 6:
cn[2] = 0.35 * c1[2] * c1[2] - 0.57 * c1[0] * c1[1] - 1.27;
break;
case 13:
cn[2] = -c1[2] * c1[2] + 0.7 * c1[0] * c1[1] + c1[0] * c1[2] + 0.7;
break;
case 14:
cn[2] = -c1[1] - 0.1 * c1[0] * c1[1] + c1[0] * c1[2] + 1.2;
break;
case 16:
cn[2] = c1[0] + 0.19 * c1[0] * c1[0] - 0.22 * c1[2] * c1[2] + 0.03 * c1[1] * c1[2] + 0.03;
break;
}
c1[0] = cn[0]; c1[1] = cn[1]; c1[2] = cn[2];
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 2, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
int DoANewClassThreeDimensionalMaps1(void)
{
return DoANewClassThreeDimensionalMaps(1);
}
int DoANewClassThreeDimensionalMaps2(void)
{
return DoANewClassThreeDimensionalMaps(2);
}
int DoANewClassThreeDimensionalMaps3(void)
{
return DoANewClassThreeDimensionalMaps(3);
}
int DoANewClassThreeDimensionalMaps4(void)
{
return DoANewClassThreeDimensionalMaps(4);
}
int DoANewClassThreeDimensionalMaps5(void)
{
return DoANewClassThreeDimensionalMaps(5);
}
int DoANewClassThreeDimensionalMaps6(void)
{
return DoANewClassThreeDimensionalMaps(6);
}
int DoANewClassThreeDimensionalMaps13(void)
{
return DoANewClassThreeDimensionalMaps(13);
}
int DoANewClassThreeDimensionalMaps14(void)
{
return DoANewClassThreeDimensionalMaps(14);
}
int DoANewClassThreeDimensionalMaps16(void)
{
return DoANewClassThreeDimensionalMaps(16);
}
/**************************************************************************
A New Hyperchaotic Map and its Application for Image Encryption
Hayder Natiq, N.M.G. Al-Saidi, M.R.M. Said and Adem Kilicman 9 January 2018
Received through Hayder Natiq Kadhim
***************************************************************************/
int DoANewHyperchaoticMap(void)
{
double i, c1[3], a, b, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = 1.0; // z
a = param[0];
b = param[1];
ColourFactor = param[2];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];
if (user_data(GlobalHwnd) == -1) // user pressed a key?
return -1;
curpass = (int)(i * totpasses / iterations);
c1[0] = 1 / PI / b * sin(1 + a * oldx * oldx - PI * PI * oldy);
c1[1] = 2 / PI / b * sin(PI * b * oldx);
c1[2] = sin(oldx) + sin(oldy);
if (DisplayFractalMap(c1, ((DWORD)i % threshold), i, 3, ColourFactor) < 0)
break;
}
PlotExtras();
return 0;
}
/**************************************************************************
A New Nonlinear Oscillator with Infinite Number of Coexisting Hidden and Self-Excited Attractors - Convoluted
Yan-Xia Tang, Abdul Jalil M Khalaf, Karthikeyan Rajagopal, Viet-Thanh Pham, Sajad Jafari and Ye Tian 29 March 2018
https://www.researchgate.net/profile/Abdul_Jalil_M_Khalaf/publication/322509093_A_new_nonlinear_oscillator_with_infinite_number_of_coexisting_hidden_and_self-excited_attractors/links/5ac8d642aca272abdc5f9a26/A-new-nonlinear-oscillator-with-infinite-number-of-coexisting-hidden-and-self-excited-attractors.pdf
***************************************************************************/
int DoANewNonlinearOscillatorInfiniteNumberMap(void)
{
double i, c1[3], w, azao, ColourFactor;
c1[0] = param[10]; // x
c1[1] = param[11]; // y
c1[2] = 1.0; // z
w = param[0];
azao = param[1];
ColourFactor = param[2];
totpasses = 10;
InitFractalMap(c1, 3); // pass in number of dimensions
for (i = 0; i < iterations; i++)
{
double oldx = c1[0];
double oldy = c1[1];