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<HTML>
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<HEAD>
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<SCRIPT>
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<!--◯⁂ᐃⵔ꞉ⵘ❋ⵔⵔ⁂❋❋ⵔ❋·⁂❋❋ⵈ⁂❋ⵔ⁂❋꞉ⵔⵔⵔ·⁂ⵔ꞉⁂ⵔᐃ··⁂⁂❋❋⠿ᐃⵔⵈⵔ∷ⵘ⁂⁂❋ⵘ꞉꞉ⵔ⠿ⵔ∷◌∷❋◯⚪◯❋∷◌∷ⵔ⠿ⵔ꞉꞉ⵘ❋⁂⁂ⵘ∷ⵔⵈⵔᐃ⠿❋❋⁂⁂··ᐃⵔ⁂꞉ⵔ⁂·ⵔⵔⵔ꞉❋⁂ⵔ❋⁂ⵈ❋❋⁂·❋ⵔ❋❋⁂ⵔⵔ❋ⵘ꞉ⵔᐃ⁂◯ⵙ◯⁂ᐃⵔ꞉ⵘ❋ⵔⵔ⁂❋❋ⵔ❋·⁂❋❋ⵈ⁂❋ⵔ⁂❋꞉ⵔⵔⵔ·⁂ⵔ꞉⁂ⵔᐃ··⁂⁂❋❋⠿ᐃⵔⵈⵔ∷ⵘ⁂⁂❋ⵘ꞉꞉ⵔ⠿ⵔ∷◌∷❋◯⚪◯❋∷◌∷ⵔ⠿ⵔ꞉꞉ⵘ❋⁂⁂ⵘ∷ⵔⵈⵔᐃ⠿❋❋⁂⁂··ᐃⵔ⁂꞉ⵔ⁂·ⵔⵔⵔ꞉❋⁂ⵔ❋⁂ⵈ❋❋⁂·❋ⵔ❋❋⁂ⵔⵔ❋ⵘ꞉ⵔᐃ⁂◯--!>
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var O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O = new (window.AudioContext || window.webkitAudioContext)();
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var O_0_EDON_ROTLICSO_O_OSCILATOR_NODE_0_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_1_EDON_ROTLICSO_O_OSCILATOR_NODE_1_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_2_EDON_ROTLICSO_O_OSCILATOR_NODE_2_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_3_EDON_ROTLICSO_O_OSCILATOR_NODE_3_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_4_EDON_ROTLICSO_O_OSCILATOR_NODE_4_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_5_EDON_ROTLICSO_O_OSCILATOR_NODE_5_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_6_EDON_ROTLICSO_O_OSCILATOR_NODE_6_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_7_EDON_ROTLICSO_O_OSCILATOR_NODE_7_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_8_EDON_ROTLICSO_O_OSCILATOR_NODE_8_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_9_EDON_ROTLICSO_O_OSCILATOR_NODE_9_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_01_EDON_ROTLICSO_O_OSCILATOR_NODE_10_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_11_EDON_ROTLICSO_O_OSCILATOR_NODE_11_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_21_EDON_ROTLICSO_O_OSCILATOR_NODE_12_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_31_EDON_ROTLICSO_O_OSCILATOR_NODE_13_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_41_EDON_ROTLICSO_O_OSCILATOR_NODE_14_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_51_EDON_ROTLICSO_O_OSCILATOR_NODE_15_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_61_EDON_ROTLICSO_O_OSCILATOR_NODE_16_O= O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createOscillator();
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var O_EDON_NIAG_O_GAIN_NODE_O = O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.createGain();
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O_0_EDON_ROTLICSO_O_OSCILATOR_NODE_0_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**0;
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O_1_EDON_ROTLICSO_O_OSCILATOR_NODE_1_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**1;
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O_2_EDON_ROTLICSO_O_OSCILATOR_NODE_2_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**2;
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O_3_EDON_ROTLICSO_O_OSCILATOR_NODE_3_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**3;
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O_4_EDON_ROTLICSO_O_OSCILATOR_NODE_4_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**4;
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O_5_EDON_ROTLICSO_O_OSCILATOR_NODE_5_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**5;
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O_6_EDON_ROTLICSO_O_OSCILATOR_NODE_6_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**6;
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O_7_EDON_ROTLICSO_O_OSCILATOR_NODE_7_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**7;
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O_8_EDON_ROTLICSO_O_OSCILATOR_NODE_8_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**8;
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O_9_EDON_ROTLICSO_O_OSCILATOR_NODE_9_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**9;
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O_01_EDON_ROTLICSO_O_OSCILATOR_NODE_10_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**10;
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O_11_EDON_ROTLICSO_O_OSCILATOR_NODE_11_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**11;
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O_21_EDON_ROTLICSO_O_OSCILATOR_NODE_12_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**12;
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O_31_EDON_ROTLICSO_O_OSCILATOR_NODE_13_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**13;
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O_41_EDON_ROTLICSO_O_OSCILATOR_NODE_14_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**14;
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O_51_EDON_ROTLICSO_O_OSCILATOR_NODE_15_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**15;
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O_61_EDON_ROTLICSO_O_OSCILATOR_NODE_16_O.frequency.value = 1/84.406022589954030768899117092091000289089388918088900852079*3**16;
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O_EDON_NIAG_O_GAIN_NODE_O.gain.value = 1/3**4;
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O_0_EDON_ROTLICSO_O_OSCILATOR_NODE_0_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_1_EDON_ROTLICSO_O_OSCILATOR_NODE_1_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_2_EDON_ROTLICSO_O_OSCILATOR_NODE_2_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_3_EDON_ROTLICSO_O_OSCILATOR_NODE_3_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_4_EDON_ROTLICSO_O_OSCILATOR_NODE_4_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_5_EDON_ROTLICSO_O_OSCILATOR_NODE_5_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_6_EDON_ROTLICSO_O_OSCILATOR_NODE_6_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_7_EDON_ROTLICSO_O_OSCILATOR_NODE_7_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_8_EDON_ROTLICSO_O_OSCILATOR_NODE_8_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_9_EDON_ROTLICSO_O_OSCILATOR_NODE_9_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_01_EDON_ROTLICSO_O_OSCILATOR_NODE_10_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_11_EDON_ROTLICSO_O_OSCILATOR_NODE_11_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_21_EDON_ROTLICSO_O_OSCILATOR_NODE_12_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_31_EDON_ROTLICSO_O_OSCILATOR_NODE_13_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_41_EDON_ROTLICSO_O_OSCILATOR_NODE_14_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_51_EDON_ROTLICSO_O_OSCILATOR_NODE_15_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_61_EDON_ROTLICSO_O_OSCILATOR_NODE_16_O.connect(O_EDON_NIAG_O_GAIN_NODE_O);
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O_EDON_NIAG_O_GAIN_NODE_O.connect(O_TXETNOC_OIDUA_O_AUDIO_CONTEXT_O.destination);
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O_0_EDON_ROTLICSO_O_OSCILATOR_NODE_0_O.start();
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O_1_EDON_ROTLICSO_O_OSCILATOR_NODE_1_O.start();
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O_2_EDON_ROTLICSO_O_OSCILATOR_NODE_2_O.start();
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O_3_EDON_ROTLICSO_O_OSCILATOR_NODE_3_O.start();
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O_4_EDON_ROTLICSO_O_OSCILATOR_NODE_4_O.start();
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O_5_EDON_ROTLICSO_O_OSCILATOR_NODE_5_O.start();
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O_6_EDON_ROTLICSO_O_OSCILATOR_NODE_6_O.start();
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O_7_EDON_ROTLICSO_O_OSCILATOR_NODE_7_O.start();
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O_8_EDON_ROTLICSO_O_OSCILATOR_NODE_8_O.start();
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O_9_EDON_ROTLICSO_O_OSCILATOR_NODE_9_O.start();
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O_01_EDON_ROTLICSO_O_OSCILATOR_NODE_10_O.start();
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O_11_EDON_ROTLICSO_O_OSCILATOR_NODE_11_O.start();
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O_21_EDON_ROTLICSO_O_OSCILATOR_NODE_12_O.start();
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O_31_EDON_ROTLICSO_O_OSCILATOR_NODE_13_O.start();
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O_41_EDON_ROTLICSO_O_OSCILATOR_NODE_14_O.start();
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O_51_EDON_ROTLICSO_O_OSCILATOR_NODE_15_O.start();
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O_61_EDON_ROTLICSO_O_OSCILATOR_NODE_16_O.start();
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<!--◯⁂ᐃⵔ꞉ⵘ❋ⵔⵔ⁂❋❋ⵔ❋·⁂❋❋ⵈ⁂❋ⵔ⁂❋꞉ⵔⵔⵔ·⁂ⵔ꞉⁂ⵔᐃ··⁂⁂❋❋⠿ᐃⵔⵈⵔ∷ⵘ⁂⁂❋ⵘ꞉꞉ⵔ⠿ⵔ∷◌∷❋◯⚪◯❋∷◌∷ⵔ⠿ⵔ꞉꞉ⵘ❋⁂⁂ⵘ∷ⵔⵈⵔᐃ⠿❋❋⁂⁂··ᐃⵔ⁂꞉ⵔ⁂·ⵔⵔⵔ꞉❋⁂ⵔ❋⁂ⵈ❋❋⁂·❋ⵔ❋❋⁂ⵔⵔ❋ⵘ꞉ⵔᐃ⁂◯ⵙ◯⁂ᐃⵔ꞉ⵘ❋ⵔⵔ⁂❋❋ⵔ❋·⁂❋❋ⵈ⁂❋ⵔ⁂❋꞉ⵔⵔⵔ·⁂ⵔ꞉⁂ⵔᐃ··⁂⁂❋❋⠿ᐃⵔⵈⵔ∷ⵘ⁂⁂❋ⵘ꞉꞉ⵔ⠿ⵔ∷◌∷❋◯⚪◯❋∷◌∷ⵔ⠿ⵔ꞉꞉ⵘ❋⁂⁂ⵘ∷ⵔⵈⵔᐃ⠿❋❋⁂⁂··ᐃⵔ⁂꞉ⵔ⁂·ⵔⵔⵔ꞉❋⁂ⵔ❋⁂ⵈ❋❋⁂·❋ⵔ❋❋⁂ⵔⵔ❋ⵘ꞉ⵔᐃ⁂◯--!>
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</SCRIPT>
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<TITLE>⚪ᴥ⚪ᗱᗴ⚪✤⚪Ⓞ⚪ᙁ⚪ߦ⚪◯⚪ᗱᗴ⚪ᗯ⚪ᴥ⚪ᑎ⚪ᑐᑕ⚪◯⚪ИN⚪Ⓞ⚪ꖴ⚪✤⚪ᑐᑕ⚪ИN⚪ᑎ⚪ꗳ⚪◯⚪ᗱᗴ⚪ᴥ⚪ᑎ⚪✤⚪ᗩ⚪ᗯ⚪ᴥ⚪ᑎ⚪ᑐᑕ⚪◯⚪ᗝ⚪ᗱᗴ⚪ꖴ⚪ꗳ⚪ꖴ⚪ᑐᑕ⚪ᗱᗴ⚪ߦ⚪ᔓᔕ⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪ᔓᔕ⚪ߦ⚪ᗱᗴ⚪ᑐᑕ⚪ꖴ⚪ꗳ⚪ꖴ⚪ᗱᗴ⚪ᗝ⚪◯⚪ᑐᑕ⚪ᑎ⚪ᴥ⚪ᗯ⚪ᗩ⚪✤⚪ᑎ⚪ᴥ⚪ᗱᗴ⚪◯⚪ꗳ⚪ᑎ⚪ИN⚪ᑐᑕ⚪✤⚪ꖴ⚪Ⓞ⚪ИN⚪◯⚪ᑐᑕ⚪ᑎ⚪ᴥ⚪ᗯ⚪ᗱᗴ⚪◯⚪ߦ⚪ᙁ⚪Ⓞ⚪✤⚪ᗱᗴ⚪ᴥ⚪</TITLE>
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<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjs/12.1.0/math.js"></script>
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<script src="https://cdn.plot.ly/plotly-latest.min.js"></script>
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<style>
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input[type=text]{
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--O_ROLOC_O_COLOR_O:#F2F2F2;
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--O_SUIDAR_RULB_O_BLUR_RADIUS_O:0PX;
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--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O:1.0PX;
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BOX-SHADOW:INSET 0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O),0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O)!IMPORTANT;
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BORDER-WIDTH:0;BORDER-RADIUS:65536PX;OVERFLOW:VISIBLE
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}
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input[type=text]:focus{
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border-color: #CECECE;BORDER-WIDTH:0PX;border-style: solid;outline: 1PX SOLID #E7E7E7;
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}
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input[type=range]::-moz-range-track {
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HEIGHT:0PX;
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--O_ROLOC_O_COLOR_O:#F2F2F2;
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--O_SUIDAR_RULB_O_BLUR_RADIUS_O:0PX;
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--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O:1.0PX;
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BOX-SHADOW:INSET 0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O),0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O)!IMPORTANT;
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BORDER-WIDTH:0;BORDER-RADIUS:65536PX;OVERFLOW:HIDDEN
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}
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input[type=range]::-moz-range-thumb {
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HEIGHT:16PX;WIDTH:16PX;
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--O_ROLOC_O_COLOR_O:#F2F2F2;
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--O_SUIDAR_RULB_O_BLUR_RADIUS_O:0PX;
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--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O:1.0PX;
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BOX-SHADOW:INSET 0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O),0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O)!IMPORTANT;
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BORDER-WIDTH:0;BORDER-RADIUS:65536PX;OVERFLOW:HIDDEN
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}
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</style>
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</HEAD>
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<BODY STYLE="BACKGROUND:#FFFFFF;FONT-SIZE:16PX;MARGIN:0;COLOR:#CECECE">
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<div align="center">
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𓊗<br><span id="nVal"></span><br><input type="range" id="n" min="1" max="16" value="8" style="width:100%"><br>
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✤<br><span id="toVal"></span><br><input type="range" id="to" min="-12.566370614359172953850573533118" max="12.566370614359172953850573533118" value="6.283185307179586476925286766559" step="0.785398163397448" style="width:100%;color:#CECECE"><br>
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ꗳ<br><span id="fromVal"></span><br><input type="range" id="from" min="-12.566370614359172953850573533118" max="12.566370614359172953850573533118" value="-6.283185307179586476925286766559" step="0.785398163397448" style="width:100%;color:#CECECE"><br>
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<input type="text" id="formula" value="(1-cos(x*(4)/2))/2 ; acos(cos(x*(4)/2))/pi" style="width:100%; text-align:CENTER;COLOR:#CECECE;FONT-SIZE:16PX"><br>
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<div id="k-graph"></div>
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<div id="function-graph"></div>
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<script>
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function clamp(x) {return math.max(math.min(x,1),0)}
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// JS equivalent for the map function
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function arrayMax(arr) {
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return Math.max(...arr.map(e => Math.max(...e)));
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}
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function arrayMin(arr) {
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return Math.min(...arr.map(e => Math.min(...e)));
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}
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function plot() {
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var formulas = document.getElementById('formula').value.split(";");
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var fromPIO2 = Number(document.getElementById('from').value);
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var toPIO2 = Number(document.getElementById('to').value);
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var N = Number(document.getElementById('n').value);
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var num_points = 0 + 2 ** N;
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document.getElementById('fromVal').innerText = +fromPIO2;
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document.getElementById('toVal').innerText = +toPIO2;
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document.getElementById('nVal').innerText = +N;
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var from = fromPIO2;
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var to = toPIO2;
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var step = (to - from) / num_points;
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var x_vals = math.range(from, to, step, true).toArray();
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var k_trace = [];
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var function_trace = [];
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var all_x = [];
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var all_y = [];
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formulas.map((formula, i) => {
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var scope = {
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clamp: function(x) { return math.max(math.min(x, 1), 0); }
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};
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var kappa_vals = x_vals.map(x => math.evaluate(formula.trim(), { x: x, ...scope}));
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var theta_vals = math.map(math.cumsum(kappa_vals), x => x * step);
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var x_coords = math.map(math.cumsum(math.map(theta_vals, math.cos)), x => x * step);
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var y_coords = math.map(math.cumsum(math.map(theta_vals, math.sin)), x => x * step);
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if (x_coords[0] != 0 || y_coords[0] != 0) {
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x_coords.unshift(0);
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y_coords.unshift(0);
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}
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k_trace.push({
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x: x_coords,
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y: y_coords,
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mode: 'lines+markers',
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// line: { color: '#CECECE' }
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line:{width:1},
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marker:{size:2},
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hovertemplate:'ꕤ %{x:.256f}'+'<br>人 %{y:.256f}',
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name: ''
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});
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all_x.push(x_coords);
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all_y.push(y_coords);
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// Now creating the trace for y=f(x)
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var y_vals = x_vals.map(x => math.evaluate(formula.trim(), { x: x, ...scope}));
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function_trace.push({
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x: x_vals,
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y: y_vals,
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mode: 'lines+markers',
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// optional features
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// line: { color: '#CECECE' }
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line:{width:1},
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marker:{size:2},
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hovertemplate:'ꕤ %{x:.256f}'+'<br>人 %{y:.256f}',
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name: ''
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});
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all_x.push(x_vals);
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all_y.push(y_vals);
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});
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var layout = {
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margin: { l: 0, r: 0, b: 0, t: 0, pad: 0 },
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autosize: true,
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height: 312,
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xaxis: {scaleanchor:'y',scaleratio: 1, showgrid:true,zeroline:true,zerolinecolor:'#CECECE',zerolinewidth:2,tick0:0,dtick:1,showticklabels:true ,automargin:true,gridcolor:'#CECECE',tickfont:{color:'#CECECE',size:16},showspikes:false,spikethickness:1,spikedash:'solid',spikemode:'across'},
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yaxis: {range: [arrayMin(all_y)-0, arrayMax(all_y)+0],showgrid:true,zeroline:true,zerolinecolor:'#CECECE',zerolinewidth:2,tick0:0,dtick:1,showticklabels:false,automargin:true,gridcolor:'#CECECE',tickfont:{color:'#CECECE',size:16},showspikes:false,spikethickness:1,spikedash:'solid',spikemode:'across'},
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hovermode: 'closest',
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dragmode: false,
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showlegend: false,
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hoverlabel: { bgcolor: "#FFFFFF", font_color: '#9C9C9C', bordercolor: "#CECECE", font_size: 16 }
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}
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Plotly.newPlot('k-graph',k_trace,layout);
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Plotly.newPlot('function-graph',function_trace,layout);
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}
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plot();
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document.getElementById('formula').addEventListener('input', plot);
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document.getElementById('from').addEventListener('input', plot);
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document.getElementById('to').addEventListener('input', plot);
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document.getElementById('n').addEventListener('input', plot);
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</script>
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</div>
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</BODY>
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</HTML> |