O-/𖣠⚪ᗩ∣ᗝ∣Ẏ⚪𔗢⚪🞋⚪𔗢⚪Ẏ∣ᗝ∣ᗩ⚪𖣠/𖣠⚪✤ᴥᗩ⚪𔗢⚪🞋⚪𔗢⚪ᗩᴥ✤⚪𖣠/𖣠⚪ᗱᗴᴥᗩᗯ✤ꗳⓄᔓᔕ⚪𔗢⚪🞋⚪𔗢⚪ᔓᔕⓄꗳ✤ᗯᗩᴥᗱᗴ⚪𖣠/𖣠⚪ЭЄᗩНߦᗱᗴᙏЭЄⓄߦ✤⚪𔗢⚪🞋⚪𔗢⚪✤ߦⓄЭЄᙏᗱᗴߦНᗩЭЄ⚪𖣠/𖣠⚪ᔓᔕⓄᴥᗱᗴᑐᑕⓄИNꖴ옷ᴥ⚪𖡼𖡼𖡼𖡼⚪𔗢⚪🞋⚪𔗢⚪𖡼𖡼𖡼𖡼⚪ᴥ옷ꖴИNⓄᑐᑕᗱᗴᴥⓄᔓᔕ⚪𖣠/𖣠⚪ᴥᗱᗴߦⓄ옷ᔓᔕᗩᴥᕤᕦ⚪𖡼𖡼𖡼𖡼⚪𔗢⚪🞋⚪𔗢⚪𖡼𖡼𖡼𖡼⚪ᕤᕦᴥᗩᔓᔕ옷Ⓞߦᗱᗴᴥ⚪𖣠/XHG.⚪ᗩ⚪ᑐᑕ⚪ꖴ⚪✤⚪ᗩ⚪ᙏ⚪ᗱᗴ⚪옷⚪✤⚪ᗩ⚪ᙏ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᙏ⚪ᗩ⚪✤⚪옷⚪ᗱᗴ⚪ᙏ⚪ᗩ⚪✤⚪ꖴ⚪ᑐᑕ⚪ᗩ⚪.GHX
2024-04-09 11:57:00 +00:00

1861 lines
120 KiB
XML

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</item>
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<item name="UserText" type_name="gh_string" type_code="10">ariasD[0] = 1;
ariasD[n_Integer?Positive] := ariasD[n] = Sum[2^((k (k - 1) - n (n - 1))/2) ariasD[k]/(n - k + 1)!, {k, 0, n - 1}]/(2^n - 1);
iFabiusF[x_]:=Module[{prec=Precision[x],n,p,q,s,tol,w,y,z},If[x&lt;0,Return[0,Module]];tol=10^(-prec);
z=SetPrecision[x,Infinity];s=1;y=0;
z=If[0&lt;=z&lt;=2,1-Abs[1-z],q=Quotient[z,2];
If[ThueMorse[q]==1,s=-1];
1-Abs[1-z+2 q]];
While[z&gt;0,n=-Floor[RealExponent[z,2]];p=2^n;
z-=1/p;w=1;
Do[w=ariasD[m]+p z w/(n-m+1);p/=2,{m,n}];
y=w-y;
If[Abs[w]&lt;Abs[y] tol,Break[]]];
SetPrecision[s Abs[y],prec]];
FabiusF[Infinity] = Interval[{-1, 1}];
FabiusF[x_?NumberQ] /; If[Im[x] == 0, TrueQ[Composition[BitAnd[#, # - 1] &amp;, Denominator][x] == 0], False] := iFabiusF[x];
Derivative[n_Integer][FabiusF] := 2^(n (n + 1)/2) FabiusF[2^n #] &amp;;
SetAttributes[FabiusF, {NumericFunction, Listable}];//Timing//AbsoluteTiming;
ToString[DecimalForm[N[Table[{ToString[DecimalForm[N[X],256]],ToString[DecimalForm[N[FabiusF[X]],256]],ToString[DecimalForm[N[0],256]]},{X,0,N[1],N[1/16]}]],256]]</item>
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</item>
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<X>-475.4101</X>
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<ARGB>255;255;255;255</ARGB>
</item>
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<item name="DrawPaths" type_name="gh_bool" type_code="1">true</item>
<item name="Multiline" type_name="gh_bool" type_code="1">true</item>
<item name="SpecialCodes" type_name="gh_bool" type_code="1">false</item>
<item name="Stream" type_name="gh_bool" type_code="1">false</item>
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<item name="Description" type_name="gh_string" type_code="10">A panel for custom notes and text values</item>
<item name="InstanceGuid" type_name="gh_guid" type_code="9">657af43c-250e-4e51-93c6-6810eb267706</item>
<item name="Name" type_name="gh_string" type_code="10">Panel</item>
<item name="NickName" type_name="gh_string" type_code="10"></item>
<item name="Optional" type_name="gh_bool" type_code="1">false</item>
<item name="ScrollRatio" type_name="gh_double" type_code="6">0</item>
<item name="Source" index="0" type_name="gh_guid" type_code="9">74992216-b019-4116-a9c3-4c5aad3fb726</item>
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
<item name="UserText" type_name="gh_string" type_code="10">ariasD[0] = 1;
ariasD[n_Integer?Positive] := ariasD[n] = Sum[2^((k (k - 1) - n (n - 1))/2) ariasD[k]/(n - k + 1)!, {k, 0, n - 1}]/(2^n - 1);
iFabiusF[x_]:=Module[{prec=Precision[x],n,p,q,s,tol,w,y,z},If[x&lt;0,Return[0,Module]];tol=10^(-prec);
z=SetPrecision[x,Infinity];s=1;y=0;
z=If[0&lt;=z&lt;=2,1-Abs[1-z],q=Quotient[z,2];
If[ThueMorse[q]==1,s=-1];
1-Abs[1-z+2 q]];
While[z&gt;0,n=-Floor[RealExponent[z,2]];p=2^n;
z-=1/p;w=1;
Do[w=ariasD[m]+p z w/(n-m+1);p/=2,{m,n}];
y=w-y;
If[Abs[w]&lt;Abs[y] tol,Break[]]];
SetPrecision[s Abs[y],prec]];
FabiusF[Infinity] = Interval[{-1, 1}];
FabiusF[x_?NumberQ] /; If[Im[x] == 0, TrueQ[Composition[BitAnd[#, # - 1] &amp;, Denominator][x] == 0], False] := iFabiusF[x];
Derivative[n_Integer][FabiusF] := 2^(n (n + 1)/2) FabiusF[2^n #] &amp;;
SetAttributes[FabiusF, {NumericFunction, Listable}];//Timing//AbsoluteTiming;
ToString[DecimalForm[N[Table[{ToString[DecimalForm[N[t],256]],ToString[DecimalForm[N[FabiusF[t]],256]],ToString[DecimalForm[N[0],256]]},{t,0,N[1],N[1/32]}]],256]]</item>
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<X>-107</X>
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<H>294</H>
</item>
<item name="MarginLeft" type_name="gh_int32" type_code="3">0</item>
<item name="MarginRight" type_name="gh_int32" type_code="3">0</item>
<item name="MarginTop" type_name="gh_int32" type_code="3">0</item>
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<X>-106.9388</X>
<Y>465.3185</Y>
</item>
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</chunk>
<chunk name="PanelProperties">
<items count="7">
<item name="Colour" type_name="gh_drawing_color" type_code="36">
<ARGB>255;255;255;255</ARGB>
</item>
<item name="DrawIndices" type_name="gh_bool" type_code="1">true</item>
<item name="DrawPaths" type_name="gh_bool" type_code="1">false</item>
<item name="Multiline" type_name="gh_bool" type_code="1">true</item>
<item name="SpecialCodes" type_name="gh_bool" type_code="1">false</item>
<item name="Stream" type_name="gh_bool" type_code="1">false</item>
<item name="Wrap" type_name="gh_bool" type_code="1">true</item>
</items>
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<item name="GUID" type_name="gh_guid" type_code="9">758d91a0-4aec-47f8-9671-16739a8a2c5d</item>
<item name="Name" type_name="gh_string" type_code="10">Format</item>
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<item name="Description" type_name="gh_string" type_code="10">Format some data using placeholders and formatting tags</item>
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<item name="Name" type_name="gh_string" type_code="10">Format</item>
<item name="NickName" type_name="gh_string" type_code="10">Format</item>
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<X>328</X>
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<H>64</H>
</item>
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
<X>420</X>
<Y>662</Y>
</item>
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<chunk name="ParameterData">
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<item name="InputCount" type_name="gh_int32" type_code="3">3</item>
<item name="InputId" index="0" type_name="gh_guid" type_code="9">3ede854e-c753-40eb-84cb-b48008f14fd4</item>
<item name="InputId" index="1" type_name="gh_guid" type_code="9">7fa15783-70da-485c-98c0-a099e6988c3e</item>
<item name="InputId" index="2" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
<item name="OutputCount" type_name="gh_int32" type_code="3">1</item>
<item name="OutputId" index="0" type_name="gh_guid" type_code="9">3ede854e-c753-40eb-84cb-b48008f14fd4</item>
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<item name="Description" type_name="gh_string" type_code="10">Text format</item>
<item name="InstanceGuid" type_name="gh_guid" type_code="9">2f5b811b-689d-4e1b-9ea3-ffc7fcfe7ef9</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
<X>369</X>
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<chunk name="Branch" index="0">
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
<item name="Path" type_name="gh_string" type_code="10">{0}</item>
</items>
<chunks count="1">
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<item name="null_string" type_name="gh_bool" type_code="1">false</item>
<item name="string" type_name="gh_string" type_code="10">{0:R}</item>
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<chunk name="InputParam" index="1">
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<item name="Description" type_name="gh_string" type_code="10">Formatting culture</item>
<item name="InstanceGuid" type_name="gh_guid" type_code="9">4139ec23-7b86-4007-be98-c402dcf7c7ed</item>
<item name="Name" type_name="gh_string" type_code="10">Culture</item>
<item name="NickName" type_name="gh_string" type_code="10">Culture</item>
<item name="Optional" type_name="gh_bool" type_code="1">false</item>
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
</items>
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<chunk name="Item" index="0">
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<item name="LCID" type_name="gh_int32" type_code="3">127</item>
</items>
</chunk>
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<item name="Mutable" type_name="gh_bool" type_code="1">false</item>
<item name="Name" type_name="gh_string" type_code="10">Data 0</item>
<item name="NickName" type_name="gh_string" type_code="10">0</item>
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
<item name="Source" index="0" type_name="gh_guid" type_code="9">b731122a-226d-4448-829a-f10aac320680</item>
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<item name="Name" type_name="gh_string" type_code="10">Text</item>
<item name="NickName" type_name="gh_string" type_code="10">Text</item>
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<X>432</X>
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<H>60</H>
</item>
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<X>444</X>
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<item name="Description" type_name="gh_string" type_code="10">Contains a collection of floating point numbers</item>
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