mirror of http://GITTEA.DEV/O/O
2446 lines
153 KiB
XML
2446 lines
153 KiB
XML
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<X>407</X>
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<X>474</X>
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<item name="Description" type_name="gh_string" type_code="10">Text to split.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">b48de432-69c3-4bc5-8fc0-15c334385841</item>
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<item name="Name" type_name="gh_string" type_code="10">Text</item>
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<item name="NickName" type_name="gh_string" type_code="10">Text</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="Source" index="0" type_name="gh_guid" type_code="9">61005a47-bf72-44ac-b2ee-58fe4593ead5</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>409</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>435.5</X>
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<chunk name="param_input" index="1">
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<items count="6">
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<item name="Description" type_name="gh_string" type_code="10">Separator characters.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">6c32c007-df1e-4ed7-afb7-ffe5d448d832</item>
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<item name="Name" type_name="gh_string" type_code="10">Separators</item>
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<item name="NickName" type_name="gh_string" type_code="10">Separators</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>409</X>
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<X>435.5</X>
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<chunk name="PersistentData">
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<chunk name="Item" index="0">
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<item name="null_string" type_name="gh_bool" type_code="1">false</item>
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<item name="string" type_name="gh_string" type_code="10">;</item>
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<chunk name="param_output" index="0">
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<items count="7">
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<item name="Access" type_name="gh_int32" type_code="3">1</item>
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<item name="Description" type_name="gh_string" type_code="10">Resulting text fragments</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">69ce8129-1f45-4bb3-8de3-581ce4a1a633</item>
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<item name="Name" type_name="gh_string" type_code="10">Result</item>
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<item name="NickName" type_name="gh_string" type_code="10">Result</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
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<chunks count="1">
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<chunk name="Attributes">
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<items count="2">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>486</X>
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<W>31</W>
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<H>40</H>
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</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>501.5</X>
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</item>
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</chunk>
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</chunks>
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</chunk>
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<item name="GUID" type_name="gh_guid" type_code="9">59e0b89a-e487-49f8-bab8-b5bab16be14c</item>
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<item name="Name" type_name="gh_string" type_code="10">Panel</item>
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<chunks count="1">
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<chunk name="Container">
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<items count="9">
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<item name="Description" type_name="gh_string" type_code="10">A panel for custom notes and text values</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">aa52b699-115e-4a9f-bcec-58c4a13989a3</item>
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<item name="Name" type_name="gh_string" type_code="10">Panel</item>
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<item name="NickName" type_name="gh_string" type_code="10"></item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="ScrollRatio" type_name="gh_double" type_code="6">1</item>
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<item name="Source" index="0" type_name="gh_guid" type_code="9">69ce8129-1f45-4bb3-8de3-581ce4a1a633</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
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<item name="UserText" type_name="gh_string" type_code="10">Double click to edit panel content…</item>
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<chunks count="2">
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<chunk name="Attributes">
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<items count="5">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>605</X>
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<Y>-134</Y>
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</item>
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<item name="MarginLeft" type_name="gh_int32" type_code="3">0</item>
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<item name="MarginRight" type_name="gh_int32" type_code="3">0</item>
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<item name="MarginTop" type_name="gh_int32" type_code="3">0</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>605.2226</X>
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<Y>-133.9167</Y>
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</item>
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</chunk>
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<chunk name="PanelProperties">
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<items count="7">
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<item name="Colour" type_name="gh_drawing_color" type_code="36">
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<ARGB>255;255;255;255</ARGB>
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</item>
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<item name="DrawIndices" type_name="gh_bool" type_code="1">true</item>
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<item name="DrawPaths" type_name="gh_bool" type_code="1">true</item>
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<item name="Multiline" type_name="gh_bool" type_code="1">true</item>
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<item name="SpecialCodes" type_name="gh_bool" type_code="1">false</item>
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<item name="Stream" type_name="gh_bool" type_code="1">false</item>
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<item name="Wrap" type_name="gh_bool" type_code="1">true</item>
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<chunk name="Object" index="5">
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<item name="GUID" type_name="gh_guid" type_code="9">071c3940-a12d-4b77-bb23-42b5d3314a0d</item>
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<item name="Name" type_name="gh_string" type_code="10">Clean Tree</item>
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<chunks count="1">
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<chunk name="Container">
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<items count="4">
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<item name="Description" type_name="gh_string" type_code="10">Removed all null and invalid items from a data tree.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">255e4acb-1cdd-4e5d-a970-84f368af7d20</item>
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<item name="Name" type_name="gh_string" type_code="10">Clean Tree</item>
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<item name="NickName" type_name="gh_string" type_code="10">Clean Tree</item>
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<chunk name="Attributes">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>260</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>347</X>
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<items count="7">
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<item name="InputId" index="1" type_name="gh_guid" type_code="9">cb95db89-6165-43b6-9c41-5702bc5bf137</item>
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<item name="InputId" index="2" type_name="gh_guid" type_code="9">cb95db89-6165-43b6-9c41-5702bc5bf137</item>
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<item name="InputId" index="3" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
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<item name="OutputCount" type_name="gh_int32" type_code="3">1</item>
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<item name="OutputId" index="0" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
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<item name="Description" type_name="gh_string" type_code="10">Remove null items from the tree.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">8fb7905e-d3bd-4955-9520-1b9d7ebab227</item>
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<item name="Name" type_name="gh_string" type_code="10">Remove Nulls</item>
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<item name="NickName" type_name="gh_string" type_code="10">Remove Nulls</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>262</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>298.5</X>
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<item name="Path" type_name="gh_string" type_code="10">{0}</item>
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<chunk name="Item" index="0">
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<items count="1">
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<item name="boolean" type_name="gh_bool" type_code="1">true</item>
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<chunk name="InputParam" index="1">
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<items count="6">
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<item name="Description" type_name="gh_string" type_code="10">Remove invalid items from the tree.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">b9960170-299c-4d90-8d7a-7979567b97cf</item>
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<item name="Name" type_name="gh_string" type_code="10">Remove Invalid</item>
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<item name="NickName" type_name="gh_string" type_code="10">Remove Invalid</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
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<chunk name="Attributes">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>262</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>298.5</X>
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<item name="Path" type_name="gh_string" type_code="10">{0}</item>
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<item name="boolean" type_name="gh_bool" type_code="1">true</item>
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<chunk name="InputParam" index="2">
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<items count="6">
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<item name="Description" type_name="gh_string" type_code="10">Remove empty branches from the tree.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">e120710b-8029-4c46-b4cf-ceacd1683bd2</item>
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<item name="Name" type_name="gh_string" type_code="10">Remove Empty</item>
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<item name="NickName" type_name="gh_string" type_code="10">Remove Empty</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>262</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>298.5</X>
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<item name="Path" type_name="gh_string" type_code="10">{0}</item>
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<item name="boolean" type_name="gh_bool" type_code="1">true</item>
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<item name="Access" type_name="gh_int32" type_code="3">2</item>
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<item name="Description" type_name="gh_string" type_code="10">Data tree to clean</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">bf49d7a8-fcc9-46d1-9fa1-b2ca0b9fe7ee</item>
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<item name="Name" type_name="gh_string" type_code="10">Tree</item>
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<item name="NickName" type_name="gh_string" type_code="10">Tree</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="Source" index="0" type_name="gh_guid" type_code="9">b731122a-226d-4448-829a-f10aac320680</item>
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<chunk name="Attributes">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>262</X>
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</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>298.5</X>
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<chunk name="OutputParam" index="0">
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<item name="Access" type_name="gh_int32" type_code="3">2</item>
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<item name="Description" type_name="gh_string" type_code="10">Spotless data tree</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">0dac9609-7399-4524-aabd-14171872cdea</item>
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<item name="Name" type_name="gh_string" type_code="10">Tree</item>
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<item name="NickName" type_name="gh_string" type_code="10">Tree</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
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<X>371</X>
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<item name="Name" type_name="gh_string" type_code="10">Panel</item>
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<chunk name="Container">
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<item name="Description" type_name="gh_string" type_code="10">A panel for custom notes and text values</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">235f03bb-9a28-43ec-b77b-f9610e3ada3c</item>
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<item name="Name" type_name="gh_string" type_code="10">Panel</item>
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<item name="NickName" type_name="gh_string" type_code="10"></item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="ScrollRatio" type_name="gh_double" type_code="6">1</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
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<item name="UserText" type_name="gh_string" type_code="10">ToString[DecimalForm[N[Table[{ToString[DecimalForm[N[Cos[t]],256]],ToString[DecimalForm[N[Sin[t]],256]],ToString[DecimalForm[N[0],256]]},{t,0,N[2*Pi],N[Pi/4]}]],256]]</item>
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<item name="MarginLeft" type_name="gh_int32" type_code="3">0</item>
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<item name="MarginRight" type_name="gh_int32" type_code="3">0</item>
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<item name="MarginTop" type_name="gh_int32" type_code="3">0</item>
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<X>-508.2093</X>
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<item name="Colour" type_name="gh_drawing_color" type_code="36">
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<ARGB>255;255;255;255</ARGB>
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</item>
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<item name="DrawIndices" type_name="gh_bool" type_code="1">true</item>
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<item name="DrawPaths" type_name="gh_bool" type_code="1">true</item>
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<item name="Multiline" type_name="gh_bool" type_code="1">true</item>
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<item name="SpecialCodes" type_name="gh_bool" type_code="1">false</item>
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<item name="Stream" type_name="gh_bool" type_code="1">false</item>
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<item name="Wrap" type_name="gh_bool" type_code="1">true</item>
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<item name="GUID" type_name="gh_guid" type_code="9">59e0b89a-e487-49f8-bab8-b5bab16be14c</item>
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<item name="Name" type_name="gh_string" type_code="10">Panel</item>
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<item name="Description" type_name="gh_string" type_code="10">A panel for custom notes and text values</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">03f2dfc4-89ae-4b63-a758-9925c47e365f</item>
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<item name="Name" type_name="gh_string" type_code="10">Panel</item>
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<item name="NickName" type_name="gh_string" type_code="10"></item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="ScrollRatio" type_name="gh_double" type_code="6">1</item>
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<item name="Source" index="0" type_name="gh_guid" type_code="9">564c34fd-6d62-4359-be14-18020db7f40b</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
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<item name="UserText" type_name="gh_string" type_code="10">Double click to edit panel content…</item>
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<chunk name="Attributes">
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<items count="5">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>-113</X>
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<Y>-120</Y>
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<W>360</W>
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<H>230</H>
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</item>
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<item name="MarginLeft" type_name="gh_int32" type_code="3">0</item>
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<item name="MarginRight" type_name="gh_int32" type_code="3">0</item>
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<item name="MarginTop" type_name="gh_int32" type_code="3">0</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>-112.4783</X>
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<Y>-119.1838</Y>
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</item>
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</items>
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</chunk>
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<chunk name="PanelProperties">
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<items count="7">
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<item name="Colour" type_name="gh_drawing_color" type_code="36">
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<ARGB>255;255;255;255</ARGB>
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</item>
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<item name="DrawIndices" type_name="gh_bool" type_code="1">true</item>
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<item name="DrawPaths" type_name="gh_bool" type_code="1">true</item>
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<item name="Multiline" type_name="gh_bool" type_code="1">true</item>
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|
<item name="SpecialCodes" type_name="gh_bool" type_code="1">false</item>
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<item name="Stream" type_name="gh_bool" type_code="1">false</item>
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<item name="Wrap" type_name="gh_bool" type_code="1">true</item>
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</items>
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</chunk>
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</chunk>
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</chunk>
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<chunk name="Object" index="8">
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<items count="2">
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<item name="GUID" type_name="gh_guid" type_code="9">4df8df00-3635-45bd-95e6-f9206296c110</item>
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<item name="Name" type_name="gh_string" type_code="10">Replace Text</item>
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</items>
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<chunks count="1">
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<chunk name="Container">
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<items count="5">
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<item name="Description" type_name="gh_string" type_code="10">Replace all occurences of a specific text fragment with another</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">ed87df4b-cfeb-4517-8b5d-d3493335220f</item>
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<item name="Name" type_name="gh_string" type_code="10">Replace Text</item>
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<item name="NickName" type_name="gh_string" type_code="10">Replace Text</item>
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|
<item name="RecursiveReplace" type_name="gh_bool" type_code="1">false</item>
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</items>
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<chunks count="5">
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|
<chunk name="Attributes">
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<items count="2">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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|
<X>290</X>
|
|
<Y>-6</Y>
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<W>98</W>
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<H>64</H>
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</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>343</X>
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<Y>26</Y>
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</item>
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</items>
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</chunk>
|
|
<chunk name="param_input" index="0">
|
|
<items count="7">
|
|
<item name="Description" type_name="gh_string" type_code="10">Text to operate on.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">4396a2de-d23b-4aaf-965d-521cdac47c9d</item>
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<item name="Name" type_name="gh_string" type_code="10">Text</item>
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<item name="NickName" type_name="gh_string" type_code="10">Text</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="Source" index="0" type_name="gh_guid" type_code="9">564c34fd-6d62-4359-be14-18020db7f40b</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
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</items>
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<chunks count="1">
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<chunk name="Attributes">
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<items count="2">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>292</X>
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<Y>-4</Y>
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<W>39</W>
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<H>20</H>
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</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>311.5</X>
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<Y>6</Y>
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|
</item>
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</items>
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</chunk>
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|
</chunks>
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</chunk>
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|
<chunk name="param_input" index="1">
|
|
<items count="6">
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|
<item name="Description" type_name="gh_string" type_code="10">Fragment to replace.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">8d00effe-4756-4f0b-ba17-cd71e180ef58</item>
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<item name="Name" type_name="gh_string" type_code="10">Find</item>
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|
<item name="NickName" type_name="gh_string" type_code="10">Find</item>
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<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
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</items>
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<chunks count="2">
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<chunk name="Attributes">
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<items count="2">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>292</X>
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|
<Y>16</Y>
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<W>39</W>
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|
<H>20</H>
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|
</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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|
<X>311.5</X>
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|
<Y>26</Y>
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|
</item>
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</items>
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</chunk>
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|
<chunk name="PersistentData">
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|
<items count="1">
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|
<item name="Count" type_name="gh_int32" type_code="3">1</item>
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</items>
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<chunks count="1">
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<chunk name="Branch" index="0">
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<items count="2">
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<item name="Path" type_name="gh_string" type_code="10">{0}</item>
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|
</items>
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<chunks count="1">
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|
<chunk name="Item" index="0">
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|
<items count="2">
|
|
<item name="null_string" type_name="gh_bool" type_code="1">false</item>
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|
<item name="string" type_name="gh_string" type_code="10">},{</item>
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</chunk>
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</chunks>
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</chunk>
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<chunk name="param_input" index="2">
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|
<items count="6">
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|
<item name="Description" type_name="gh_string" type_code="10">Optional fragment to replace with. If blank, all occurences of F will be removed.</item>
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|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">c701e2a9-2d56-4d69-87b3-c3ec53229cae</item>
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<item name="Name" type_name="gh_string" type_code="10">Replace</item>
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<item name="NickName" type_name="gh_string" type_code="10">Replace</item>
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<item name="Optional" type_name="gh_bool" type_code="1">true</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
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</items>
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<chunks count="2">
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<chunk name="Attributes">
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<items count="2">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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|
<X>292</X>
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|
<Y>36</Y>
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<W>39</W>
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<H>20</H>
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</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>311.5</X>
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<Y>46</Y>
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</item>
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<chunk name="PersistentData">
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|
<items count="1">
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|
<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<chunk name="Branch" index="0">
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<items count="2">
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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|
<item name="Path" type_name="gh_string" type_code="10">{0}</item>
|
|
</items>
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|
<chunks count="1">
|
|
<chunk name="Item" index="0">
|
|
<items count="2">
|
|
<item name="null_string" type_name="gh_bool" type_code="1">false</item>
|
|
<item name="string" type_name="gh_string" type_code="10">;</item>
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|
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|
</chunk>
|
|
</chunks>
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|
</chunk>
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|
</chunks>
|
|
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|
|
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|
|
</chunk>
|
|
<chunk name="param_output" index="0">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Result of text replacement</item>
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|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">3f3d8116-c897-4cc1-8f26-d9cfbf2afd3a</item>
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<item name="Name" type_name="gh_string" type_code="10">Result</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Result</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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<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
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|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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|
<X>355</X>
|
|
<Y>-4</Y>
|
|
<W>31</W>
|
|
<H>60</H>
|
|
</item>
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|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>370.5</X>
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|
<Y>26</Y>
|
|
</item>
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|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
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|
</chunks>
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|
</chunk>
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|
</chunks>
|
|
</chunk>
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|
<chunk name="Object" index="9">
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<items count="2">
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|
<item name="GUID" type_name="gh_guid" type_code="9">4df8df00-3635-45bd-95e6-f9206296c110</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Replace Text</item>
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</items>
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<chunks count="1">
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<chunk name="Container">
|
|
<items count="5">
|
|
<item name="Description" type_name="gh_string" type_code="10">Replace all occurences of a specific text fragment with another</item>
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|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">b3b64136-04eb-4608-a772-d663b6ef34ab</item>
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|
<item name="Name" type_name="gh_string" type_code="10">Replace Text</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Replace Text</item>
|
|
<item name="RecursiveReplace" type_name="gh_bool" type_code="1">false</item>
|
|
</items>
|
|
<chunks count="5">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>579</X>
|
|
<Y>165</Y>
|
|
<W>98</W>
|
|
<H>64</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>632</X>
|
|
<Y>197</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="param_input" index="0">
|
|
<items count="7">
|
|
<item name="Description" type_name="gh_string" type_code="10">Text to operate on.</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">e211b2fd-8539-475d-80d7-54d6943f9553</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Text</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Text</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">false</item>
|
|
<item name="Source" index="0" type_name="gh_guid" type_code="9">69ce8129-1f45-4bb3-8de3-581ce4a1a633</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
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|
</items>
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|
<chunks count="1">
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|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>581</X>
|
|
<Y>167</Y>
|
|
<W>39</W>
|
|
<H>20</H>
|
|
</item>
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|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>600.5</X>
|
|
<Y>177</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_input" index="1">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Fragment to replace.</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">ab024e3d-28c3-438a-948a-20a00790f073</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Find</item>
|
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<item name="NickName" type_name="gh_string" type_code="10">Find</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>581</X>
|
|
<Y>187</Y>
|
|
<W>39</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>600.5</X>
|
|
<Y>197</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="PersistentData">
|
|
<items count="1">
|
|
<item name="Count" type_name="gh_int32" type_code="3">1</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Branch" index="0">
|
|
<items count="2">
|
|
<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">
|
|
<chunk name="Item" index="0">
|
|
<items count="2">
|
|
<item name="null_string" type_name="gh_bool" type_code="1">false</item>
|
|
<item name="string" type_name="gh_string" type_code="10">{</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_input" index="2">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Optional fragment to replace with. If blank, all occurences of F will be removed.</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">349e9e37-ee89-48a7-a1c9-c15a69b10bcc</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Replace</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Replace</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>581</X>
|
|
<Y>207</Y>
|
|
<W>39</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>600.5</X>
|
|
<Y>217</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_output" index="0">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Result of text replacement</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">52ccc5eb-b4bf-4e53-9146-4f6c3cfd6f40</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Result</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Result</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>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>644</X>
|
|
<Y>167</Y>
|
|
<W>31</W>
|
|
<H>60</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>659.5</X>
|
|
<Y>197</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="10">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">4df8df00-3635-45bd-95e6-f9206296c110</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Replace Text</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="5">
|
|
<item name="Description" type_name="gh_string" type_code="10">Replace all occurences of a specific text fragment with another</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">bad5cca5-493e-4704-8ec0-77e7bfb7945f</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Replace Text</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Replace Text</item>
|
|
<item name="RecursiveReplace" type_name="gh_bool" type_code="1">false</item>
|
|
</items>
|
|
<chunks count="5">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>640</X>
|
|
<Y>287</Y>
|
|
<W>98</W>
|
|
<H>64</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>693</X>
|
|
<Y>319</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="param_input" index="0">
|
|
<items count="7">
|
|
<item name="Description" type_name="gh_string" type_code="10">Text to operate on.</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">092653d6-6f1c-4744-af5f-48ded73369a5</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Text</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Text</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">false</item>
|
|
<item name="Source" index="0" type_name="gh_guid" type_code="9">52ccc5eb-b4bf-4e53-9146-4f6c3cfd6f40</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>642</X>
|
|
<Y>289</Y>
|
|
<W>39</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>661.5</X>
|
|
<Y>299</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_input" index="1">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Fragment to replace.</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">7278a7fa-acec-410f-9837-f6a5ef234013</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Find</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Find</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>642</X>
|
|
<Y>309</Y>
|
|
<W>39</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>661.5</X>
|
|
<Y>319</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="PersistentData">
|
|
<items count="1">
|
|
<item name="Count" type_name="gh_int32" type_code="3">1</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Branch" index="0">
|
|
<items count="2">
|
|
<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">
|
|
<chunk name="Item" index="0">
|
|
<items count="2">
|
|
<item name="null_string" type_name="gh_bool" type_code="1">false</item>
|
|
<item name="string" type_name="gh_string" type_code="10">}</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_input" index="2">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Optional fragment to replace with. If blank, all occurences of F will be removed.</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">0b09f73d-3b76-4872-b23e-af65f6ccf7e0</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Replace</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Replace</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>642</X>
|
|
<Y>329</Y>
|
|
<W>39</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>661.5</X>
|
|
<Y>339</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_output" index="0">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Result of text replacement</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">b0ba83ad-8597-47a1-8b7d-06bc1ac8e14c</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Result</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Result</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>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>705</X>
|
|
<Y>289</Y>
|
|
<W>31</W>
|
|
<H>60</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>720.5</X>
|
|
<Y>319</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="11">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">59e0b89a-e487-49f8-bab8-b5bab16be14c</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Panel</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="9">
|
|
<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">56223043-f43a-42ef-985f-d78d63756e0d</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">1</item>
|
|
<item name="Source" index="0" type_name="gh_guid" type_code="9">b0ba83ad-8597-47a1-8b7d-06bc1ac8e14c</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="UserText" type_name="gh_string" type_code="10">Double click to edit panel content…</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="5">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>893</X>
|
|
<Y>227</Y>
|
|
<W>422</W>
|
|
<H>230</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>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>893.2493</X>
|
|
<Y>227.1955</Y>
|
|
</item>
|
|
</items>
|
|
</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">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>
|
|
<item name="Wrap" type_name="gh_bool" type_code="1">true</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="12">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">59e0b89a-e487-49f8-bab8-b5bab16be14c</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Panel</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="8">
|
|
<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">757d8d62-c94b-4f14-9c46-fabb75b95b88</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">1</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="UserText" type_name="gh_string" type_code="10">ClearAll[iCurvaturePlotHelper, CurvaturePlot]
|
|
iCurvaturePlotHelper[
|
|
f_?(Head[#] =!= List &), {t_, tmin_,
|
|
tmax_}, {{x0_, y0_}, \[Theta]0_}, opts : OptionsPattern[]] :=
|
|
Module[{sol, \[Theta], x, y, if},
|
|
sol = NDSolve[{
|
|
\[Theta]'[t] == f,
|
|
x'[t] == Cos[\[Theta][t]],
|
|
y'[t] == Sin[\[Theta][t]],
|
|
\[Theta][tmin] == \[Theta]0,
|
|
x[tmin] == x0,
|
|
y[tmin] == y0
|
|
}, {x, y}, {t, tmin, tmax}, opts];
|
|
if = {x[#], y[#]} & /. First[sol];
|
|
if
|
|
]
|
|
CurvaturePlot[f_, {t_, tmin_, tmax_}, opts : OptionsPattern[]] :=
|
|
CurvaturePlot[f, {t, tmin, tmax}, {{0, 0}, 0}, opts]
|
|
CurvaturePlot[f_, {t_, tmin_, tmax_}, p : {{x0_, y0_}, \[Theta]0_},
|
|
opts : OptionsPattern[]] :=
|
|
Module[{\[Theta], x, y, sol, rlsplot, rlsndsolve, if, ifs},
|
|
rlsplot = FilterRules[{opts}, Options[ParametricPlot]];
|
|
rlsndsolve = FilterRules[{opts}, Options[NDSolve]];
|
|
If[Head[f] === List,
|
|
ifs =
|
|
iCurvaturePlotHelper[#, {t, tmin, tmax}, p,
|
|
Evaluate@(Sequence @@ rlsndsolve)] & /@ f;
|
|
ParametricPlot[
|
|
Evaluate[#[tplot] & /@ ifs], {tplot, tmin, tmax},
|
|
Evaluate@(Sequence @@ rlsplot)]
|
|
,
|
|
if =
|
|
iCurvaturePlotHelper[f, {t, tmin, tmax}, p,
|
|
Evaluate@(Sequence @@ rlsndsolve)];
|
|
ParametricPlot[Evaluate[if[tplot]], {tplot, tmin, tmax},
|
|
Evaluate@(Sequence @@ rlsplot)]
|
|
]
|
|
];
|
|
|
|
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<0,Return[0,Module]];tol=10^(-prec);
|
|
z=SetPrecision[x,Infinity];s=1;y=0;
|
|
z=If[0<=z<=2,1-Abs[1-z],q=Quotient[z,2];
|
|
If[ThueMorse[q]==1,s=-1];
|
|
1-Abs[1-z+2 q]];
|
|
While[z>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]<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] &, Denominator][x] == 0], False] := iFabiusF[x];
|
|
Derivative[n_Integer][FabiusF] := 2^(n (n + 1)/2) FabiusF[2^n #] &;
|
|
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>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="5">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>-520</X>
|
|
<Y>-605</Y>
|
|
<W>349</W>
|
|
<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>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>-519.5425</X>
|
|
<Y>-604.2982</Y>
|
|
</item>
|
|
</items>
|
|
</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">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>
|
|
<item name="Wrap" type_name="gh_bool" type_code="1">true</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="13">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">59e0b89a-e487-49f8-bab8-b5bab16be14c</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Panel</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="9">
|
|
<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<0,Return[0,Module]];tol=10^(-prec);
|
|
z=SetPrecision[x,Infinity];s=1;y=0;
|
|
z=If[0<=z<=2,1-Abs[1-z],q=Quotient[z,2];
|
|
If[ThueMorse[q]==1,s=-1];
|
|
1-Abs[1-z+2 q]];
|
|
While[z>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]<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] &, Denominator][x] == 0], False] := iFabiusF[x];
|
|
Derivative[n_Integer][FabiusF] := 2^(n (n + 1)/2) FabiusF[2^n #] &;
|
|
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>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="5">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>176</X>
|
|
<Y>651</Y>
|
|
<W>161</W>
|
|
<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>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>176.1313</X>
|
|
<Y>651.6918</Y>
|
|
</item>
|
|
</items>
|
|
</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>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="14">
|
|
<items count="2">
|
|
<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>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="4">
|
|
<item name="Description" type_name="gh_string" type_code="10">Format some data using placeholders and formatting tags</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">14fc0b38-e972-49af-92fe-f7f422d34799</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Format</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Format</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>370</X>
|
|
<Y>630</Y>
|
|
<W>88</W>
|
|
<H>64</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>420</X>
|
|
<Y>662</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="ParameterData">
|
|
<items count="6">
|
|
<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>
|
|
</items>
|
|
<chunks count="4">
|
|
<chunk name="InputParam" index="0">
|
|
<items count="6">
|
|
<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>
|
|
<item name="Name" type_name="gh_string" type_code="10">Format</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Format</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>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>372</X>
|
|
<Y>632</Y>
|
|
<W>36</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>390</X>
|
|
<Y>642</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="PersistentData">
|
|
<items count="1">
|
|
<item name="Count" type_name="gh_int32" type_code="3">1</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Branch" index="0">
|
|
<items count="2">
|
|
<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">
|
|
<chunk name="Item" index="0">
|
|
<items count="2">
|
|
<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>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="1">
|
|
<items count="6">
|
|
<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>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>372</X>
|
|
<Y>652</Y>
|
|
<W>36</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>390</X>
|
|
<Y>662</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="PersistentData">
|
|
<items count="1">
|
|
<item name="Count" type_name="gh_int32" type_code="3">1</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Branch" index="0">
|
|
<items count="2">
|
|
<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">
|
|
<chunk name="Item" index="0">
|
|
<items count="1">
|
|
<item name="LCID" type_name="gh_int32" type_code="3">127</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="2">
|
|
<items count="8">
|
|
<item name="Description" type_name="gh_string" type_code="10">Data to insert at {0} placeholders</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">658b2a94-b7ee-4060-9e04-c159b4e92d44</item>
|
|
<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>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>372</X>
|
|
<Y>672</Y>
|
|
<W>36</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>390</X>
|
|
<Y>682</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="0">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Formatted text</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">74992216-b019-4116-a9c3-4c5aad3fb726</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Text</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Text</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>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>432</X>
|
|
<Y>632</Y>
|
|
<W>24</W>
|
|
<H>60</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>444</X>
|
|
<Y>662</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="15">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">3e8ca6be-fda8-4aaf-b5c0-3c54c8bb7312</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Number</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="7">
|
|
<item name="Description" type_name="gh_string" type_code="10">Contains a collection of floating point numbers</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">e919fa31-d79e-4f67-9aed-e70feda8de8e</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Number</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Number</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">false</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>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>586</X>
|
|
<Y>691</Y>
|
|
<W>50</W>
|
|
<H>24</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>611</X>
|
|
<Y>703</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="16">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">3ede854e-c753-40eb-84cb-b48008f14fd4</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Text</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="7">
|
|
<item name="Description" type_name="gh_string" type_code="10">Contains a collection of text fragments</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">c12585f7-fe64-4c0f-869d-d10df254cf72</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Text</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Text</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">false</item>
|
|
<item name="Source" index="0" type_name="gh_guid" type_code="9">b731122a-226d-4448-829a-f10aac320680</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>631</X>
|
|
<Y>524</Y>
|
|
<W>50</W>
|
|
<H>24</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>656</X>
|
|
<Y>536</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="17">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">59e0b89a-e487-49f8-bab8-b5bab16be14c</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Panel</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="8">
|
|
<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">32ca42c3-b85d-40fc-b02f-a79187312f7b</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">1</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="UserText" type_name="gh_string" type_code="10">ClearAll[iCurvaturePlotHelper, CurvaturePlot]
|
|
iCurvaturePlotHelper[
|
|
f_?(Head[#] =!= List &), {t_, tmin_,
|
|
tmax_}, {{x0_, y0_}, \[Theta]0_}, opts : OptionsPattern[]] :=
|
|
Module[{sol, \[Theta], x, y, if},
|
|
sol = NDSolve[{
|
|
\[Theta]'[t] == f,
|
|
x'[t] == Cos[\[Theta][t]],
|
|
y'[t] == Sin[\[Theta][t]],
|
|
\[Theta][tmin] == \[Theta]0,
|
|
x[tmin] == x0,
|
|
y[tmin] == y0
|
|
}, {x, y}, {t, tmin, tmax}, opts];
|
|
if = {x[#], y[#]} & /. First[sol];
|
|
if
|
|
]
|
|
CurvaturePlot[f_, {t_, tmin_, tmax_}, opts : OptionsPattern[]] :=
|
|
CurvaturePlot[f, {t, tmin, tmax}, {{0, 0}, 0}, opts]
|
|
CurvaturePlot[f_, {t_, tmin_, tmax_}, p : {{x0_, y0_}, \[Theta]0_},
|
|
opts : OptionsPattern[]] :=
|
|
Module[{\[Theta], x, y, sol, rlsplot, rlsndsolve, if, ifs},
|
|
rlsplot = FilterRules[{opts}, Options[ParametricPlot]];
|
|
rlsndsolve = FilterRules[{opts}, Options[NDSolve]];
|
|
If[Head[f] === List,
|
|
ifs =
|
|
iCurvaturePlotHelper[#, {t, tmin, tmax}, p,
|
|
Evaluate@(Sequence @@ rlsndsolve)] & /@ f;
|
|
ParametricPlot[
|
|
Evaluate[#[tplot] & /@ ifs], {tplot, tmin, tmax},
|
|
Evaluate@(Sequence @@ rlsplot)]
|
|
,
|
|
if =
|
|
iCurvaturePlotHelper[f, {t, tmin, tmax}, p,
|
|
Evaluate@(Sequence @@ rlsndsolve)];
|
|
ParametricPlot[Evaluate[if[tplot]], {tplot, tmin, tmax},
|
|
Evaluate@(Sequence @@ rlsplot)]
|
|
]
|
|
];
|
|
|
|
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<0,Return[0,Module]];tol=10^(-prec);
|
|
z=SetPrecision[x,Infinity];s=1;y=0;
|
|
z=If[0<=z<=2,1-Abs[1-z],q=Quotient[z,2];
|
|
If[ThueMorse[q]==1,s=-1];
|
|
1-Abs[1-z+2 q]];
|
|
While[z>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]<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] &, Denominator][x] == 0], False] := iFabiusF[x];
|
|
Derivative[n_Integer][FabiusF] := 2^(n (n + 1)/2) FabiusF[2^n #] &;
|
|
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[1/256]}]],256]];
|
|
|
|
П = CurvaturePlot[
|
|
Evaluate[
|
|
SetPrecision[SetAccuracy[Abs[FabiusF[X/Pi*((((4))))/2]], Infinity],
|
|
Infinity], {X, 0, 4 \[Pi]}, WorkingPrecision -> ((((10)))),
|
|
Accuracy -> Infinity, MaxRecursion -> 0, PlotPoints -> 1 + 2^((((8))))],
|
|
Axes -> {True, True}];
|
|
Show[П, Frame -> True, FrameTicks -> {{-1, 0, 1}, {-1, 0, 1}},
|
|
PlotRange -> Full, AspectRatio -> 1];
|
|
ↀПↀ = Flatten[Cases[П, Line[X__] -> X, Infinity], 1];
|
|
Export["ↀПↀ", ↀПↀ, "CSV"];
|
|
ↀПↀ</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="5">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>-629</X>
|
|
<Y>330</Y>
|
|
<W>349</W>
|
|
<H>671</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>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>-628.7882</X>
|
|
<Y>330.9467</Y>
|
|
</item>
|
|
</items>
|
|
</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">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>
|
|
<item name="Wrap" type_name="gh_bool" type_code="1">true</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="18">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">59e0b89a-e487-49f8-bab8-b5bab16be14c</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Panel</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="9">
|
|
<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">d540c611-1af7-4e7e-9179-d4927d03008d</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">0.50049507617950439</item>
|
|
<item name="Source" index="0" type_name="gh_guid" type_code="9">b731122a-226d-4448-829a-f10aac320680</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<0,Return[0,Module]];tol=10^(-prec);
|
|
z=SetPrecision[x,Infinity];s=1;y=0;
|
|
z=If[0<=z<=2,1-Abs[1-z],q=Quotient[z,2];
|
|
If[ThueMorse[q]==1,s=-1];
|
|
1-Abs[1-z+2 q]];
|
|
While[z>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]<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] &, Denominator][x] == 0], False] := iFabiusF[x];
|
|
Derivative[n_Integer][FabiusF] := 2^(n (n + 1)/2) FabiusF[2^n #] &;
|
|
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>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="5">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>-260</X>
|
|
<Y>521</Y>
|
|
<W>200</W>
|
|
<H>289</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>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>-259.466</X>
|
|
<Y>521.5567</Y>
|
|
</item>
|
|
</items>
|
|
</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>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="19">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">4df8df00-3635-45bd-95e6-f9206296c110</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Replace Text</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="5">
|
|
<item name="Description" type_name="gh_string" type_code="10">Replace all occurences of a specific text fragment with another</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">cc216dbe-7368-4ad0-b361-9576424dcc24</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Replace Text</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Replace Text</item>
|
|
<item name="RecursiveReplace" type_name="gh_bool" type_code="1">false</item>
|
|
</items>
|
|
<chunks count="5">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>288</X>
|
|
<Y>-92</Y>
|
|
<W>98</W>
|
|
<H>64</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>341</X>
|
|
<Y>-60</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="param_input" index="0">
|
|
<items count="7">
|
|
<item name="Description" type_name="gh_string" type_code="10">Text to operate on.</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">5cd71bb6-669e-4d72-a523-2cdb216701d2</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Text</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Text</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">false</item>
|
|
<item name="Source" index="0" type_name="gh_guid" type_code="9">3f3d8116-c897-4cc1-8f26-d9cfbf2afd3a</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>290</X>
|
|
<Y>-90</Y>
|
|
<W>39</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>309.5</X>
|
|
<Y>-80</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_input" index="1">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Fragment to replace.</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">e1c09eab-68b7-48e7-957e-87030b47bda3</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Find</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Find</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>290</X>
|
|
<Y>-70</Y>
|
|
<W>39</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>309.5</X>
|
|
<Y>-60</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="PersistentData">
|
|
<items count="1">
|
|
<item name="Count" type_name="gh_int32" type_code="3">1</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Branch" index="0">
|
|
<items count="2">
|
|
<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">
|
|
<chunk name="Item" index="0">
|
|
<items count="2">
|
|
<item name="null_string" type_name="gh_bool" type_code="1">false</item>
|
|
<item name="string" type_name="gh_string" type_code="10">}, {</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_input" index="2">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Optional fragment to replace with. If blank, all occurences of F will be removed.</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">2e47c43c-8894-49f7-a14f-1b3fea26d3e0</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Replace</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Replace</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>290</X>
|
|
<Y>-50</Y>
|
|
<W>39</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>309.5</X>
|
|
<Y>-40</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="PersistentData">
|
|
<items count="1">
|
|
<item name="Count" type_name="gh_int32" type_code="3">1</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Branch" index="0">
|
|
<items count="2">
|
|
<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">
|
|
<chunk name="Item" index="0">
|
|
<items count="2">
|
|
<item name="null_string" type_name="gh_bool" type_code="1">false</item>
|
|
<item name="string" type_name="gh_string" type_code="10">;</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_output" index="0">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Result of text replacement</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">61005a47-bf72-44ac-b2ee-58fe4593ead5</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Result</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Result</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>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>353</X>
|
|
<Y>-90</Y>
|
|
<W>31</W>
|
|
<H>60</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>368.5</X>
|
|
<Y>-60</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
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<item name="GUID" type_name="gh_guid" type_code="9">4df8df00-3635-45bd-95e6-f9206296c110</item>
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<item name="Name" type_name="gh_string" type_code="10">Replace Text</item>
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<chunk name="Container">
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<items count="5">
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<item name="Description" type_name="gh_string" type_code="10">Replace all occurences of a specific text fragment with another</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">1f0052c3-423a-4465-8ef2-f805a6329226</item>
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<item name="Name" type_name="gh_string" type_code="10">Replace Text</item>
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<item name="NickName" type_name="gh_string" type_code="10">Replace Text</item>
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<item name="RecursiveReplace" type_name="gh_bool" type_code="1">false</item>
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</items>
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<chunks count="5">
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<chunk name="Attributes">
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<items count="2">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>665</X>
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<Y>405</Y>
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<W>98</W>
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<H>64</H>
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</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>718</X>
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<Y>437</Y>
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</item>
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</chunk>
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<chunk name="param_input" index="0">
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<items count="7">
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<item name="Description" type_name="gh_string" type_code="10">Text to operate on.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">7325d639-6c5c-4e2f-919c-39e02e0214cd</item>
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<item name="Name" type_name="gh_string" type_code="10">Text</item>
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<item name="NickName" type_name="gh_string" type_code="10">Text</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="Source" index="0" type_name="gh_guid" type_code="9">b0ba83ad-8597-47a1-8b7d-06bc1ac8e14c</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
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<chunk name="Attributes">
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<items count="2">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>667</X>
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<Y>407</Y>
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<W>39</W>
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<H>20</H>
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</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>686.5</X>
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<Y>417</Y>
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<chunk name="param_input" index="1">
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<items count="6">
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<item name="Description" type_name="gh_string" type_code="10">Fragment to replace.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">ec476a49-2011-45a1-8aca-3b453af8972b</item>
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<item name="Name" type_name="gh_string" type_code="10">Find</item>
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<item name="NickName" type_name="gh_string" type_code="10">Find</item>
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<item name="Optional" type_name="gh_bool" type_code="1">true</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
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<chunks count="2">
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<chunk name="Attributes">
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<items count="2">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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|
<X>667</X>
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|
<Y>427</Y>
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<W>39</W>
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<H>20</H>
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</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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|
<X>686.5</X>
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<Y>437</Y>
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</item>
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</chunk>
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<chunk name="PersistentData">
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<chunk name="Branch" index="0">
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<items count="2">
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<item name="Path" type_name="gh_string" type_code="10">{0}</item>
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<chunk name="Item" index="0">
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<items count="2">
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<item name="null_string" type_name="gh_bool" type_code="1">false</item>
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<item name="string" type_name="gh_string" type_code="10">*^</item>
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</chunk>
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</chunk>
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</chunks>
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</chunk>
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</chunk>
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<chunk name="param_input" index="2">
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|
<items count="6">
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|
<item name="Description" type_name="gh_string" type_code="10">Optional fragment to replace with. If blank, all occurences of F will be removed.</item>
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|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">3253bef1-f9af-4db5-a1e7-8c1d46347bf7</item>
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|
<item name="Name" type_name="gh_string" type_code="10">Replace</item>
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<item name="NickName" type_name="gh_string" type_code="10">Replace</item>
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<item name="Optional" type_name="gh_bool" type_code="1">true</item>
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|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
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</items>
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<chunks count="2">
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<chunk name="Attributes">
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<items count="2">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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|
<X>667</X>
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|
<Y>447</Y>
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|
<W>39</W>
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|
<H>20</H>
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|
</item>
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|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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|
<X>686.5</X>
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|
<Y>457</Y>
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</item>
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</items>
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</chunk>
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|
<chunk name="PersistentData">
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|
<items count="1">
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|
<item name="Count" type_name="gh_int32" type_code="3">1</item>
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</items>
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<chunk name="Branch" index="0">
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<items count="2">
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<item name="Path" type_name="gh_string" type_code="10">{0}</item>
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</items>
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<chunks count="1">
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<chunk name="Item" index="0">
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<items count="2">
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<item name="null_string" type_name="gh_bool" type_code="1">false</item>
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|
<item name="string" type_name="gh_string" type_code="10">*10^</item>
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</chunk>
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</chunk>
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</chunks>
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</chunk>
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</chunks>
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</chunk>
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<chunk name="param_output" index="0">
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|
<items count="6">
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|
<item name="Description" type_name="gh_string" type_code="10">Result of text replacement</item>
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|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">e094bed0-8589-4d81-a21d-3fcd6ab63d47</item>
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|
<item name="Name" type_name="gh_string" type_code="10">Result</item>
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|
<item name="NickName" type_name="gh_string" type_code="10">Result</item>
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|
<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
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</items>
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<chunks count="1">
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<chunk name="Attributes">
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<items count="2">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>730</X>
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|
<Y>407</Y>
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<W>31</W>
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<H>60</H>
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|
</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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|
<X>745.5</X>
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|
<Y>437</Y>
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</item>
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</items>
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</chunk>
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</chunks>
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</chunk>
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</chunk>
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</chunk>
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</chunk>
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<chunk name="Thumbnail">
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<item name="Thumbnail" type_name="gh_drawing_bitmap" type_code="37">
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</bitmap>
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