29349 lines
1.7 MiB
29349 lines
1.7 MiB
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<item name="Name" type_name="gh_string" type_code="10">Group</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10"></item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes" />
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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="Object" index="4">
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<items count="2">
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|
<item name="GUID" type_name="gh_guid" type_code="9">c552a431-af5b-46a9-a8a4-0fcbc27ef596</item>
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|
<item name="Name" type_name="gh_string" type_code="10">Group</item>
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|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="15">
|
|
<item name="Border" type_name="gh_int32" type_code="3">3</item>
|
|
<item name="Colour" type_name="gh_drawing_color" type_code="36">
|
|
<ARGB>150;255;255;255</ARGB>
|
|
</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">A group of Grasshopper objects</item>
|
|
<item name="ID" index="0" type_name="gh_guid" type_code="9">3091dae8-d5dc-4fac-a891-c5a5c7118bd1</item>
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|
<item name="ID" index="1" type_name="gh_guid" type_code="9">b15849e1-cdad-4c2e-becd-859af856d608</item>
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|
<item name="ID" index="2" type_name="gh_guid" type_code="9">2187d492-e79a-43d1-9758-c683cee6a1a6</item>
|
|
<item name="ID" index="3" type_name="gh_guid" type_code="9">64a13dde-4d5b-4c3c-9590-dd2d98964c51</item>
|
|
<item name="ID" index="4" type_name="gh_guid" type_code="9">108b0aae-e403-4a36-b12b-8ef951a35c50</item>
|
|
<item name="ID" index="5" type_name="gh_guid" type_code="9">f33205f0-793a-41b8-b72a-e667cf426b4f</item>
|
|
<item name="ID" index="6" type_name="gh_guid" type_code="9">8d36667c-3eb9-462e-91a9-b77c202939ca</item>
|
|
<item name="ID" index="7" type_name="gh_guid" type_code="9">360c0603-8317-424e-a8c3-12ddeacddebd</item>
|
|
<item name="ID_Count" type_name="gh_int32" type_code="3">8</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">9c976e8a-0a2d-4fb1-a458-b40424176e99</item>
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|
<item name="Name" type_name="gh_string" type_code="10">Group</item>
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|
<item name="NickName" type_name="gh_string" type_code="10"></item>
|
|
</items>
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|
<chunks count="1">
|
|
<chunk name="Attributes" />
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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="Object" index="5">
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<items count="2">
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|
<item name="GUID" type_name="gh_guid" type_code="9">fb6aba99-fead-4e42-b5d8-c6de5ff90ea6</item>
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|
<item name="Name" type_name="gh_string" type_code="10">DotNET VB Script (LEGACY)</item>
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</items>
|
|
<chunks count="1">
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|
<chunk name="Container">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">A VB.NET scriptable component</item>
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|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">f8463a6a-537d-44ae-a102-2cbf6773c33a</item>
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<item name="Name" type_name="gh_string" type_code="10">DotNET VB Script (LEGACY)</item>
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|
<item name="NickName" type_name="gh_string" type_code="10">Turtle</item>
|
|
<item name="ReferenceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ScriptSource" type_name="gh_string" type_code="10"> Dim i As Integer
|
|
Dim dir As New On3dVector(1, 0, 0)
|
|
Dim pos As New On3dVector(0, 0, 0)
|
|
Dim axis As New On3dVector(0, 0, 1)
|
|
Dim pnts As New List(Of On3dVector)
|
|
|
|
pnts.Add(pos)
|
|
|
|
For i = 0 To Forward.Count() - 1
|
|
Dim P As New On3dVector
|
|
dir.Rotate(Left(i), axis)
|
|
P = dir * Forward(i) + pnts(i)
|
|
pnts.Add(P)
|
|
Next
|
|
|
|
Points = pnts</item>
|
|
</items>
|
|
<chunks count="7">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>4298</X>
|
|
<Y>388</Y>
|
|
<W>119</W>
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|
<H>44</H>
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|
</item>
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|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>4359</X>
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|
<Y>410</Y>
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|
</item>
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|
</items>
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|
</chunk>
|
|
<chunk name="VariableInput">
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|
<items count="13">
|
|
<item name="Access" index="0" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="Access" index="1" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="Count" type_name="gh_int32" type_code="3">2</item>
|
|
<item name="Description" index="0" type_name="gh_string" type_code="10">Script Variable Forward</item>
|
|
<item name="Description" index="1" type_name="gh_string" type_code="10">Script Variable Left</item>
|
|
<item name="ID" index="0" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="ID" index="1" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="Mutable" index="0" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Mutable" index="1" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Name" index="0" type_name="gh_string" type_code="10">Forward</item>
|
|
<item name="Name" index="1" type_name="gh_string" type_code="10">Left</item>
|
|
<item name="Optional" index="0" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Optional" index="1" type_name="gh_bool" type_code="1">true</item>
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|
</items>
|
|
</chunk>
|
|
<chunk name="VariableOutput">
|
|
<items count="11">
|
|
<item name="Count" type_name="gh_int32" type_code="3">2</item>
|
|
<item name="Description" index="0" type_name="gh_string" type_code="10">Print, Reflect and Error streams</item>
|
|
<item name="Description" index="1" type_name="gh_string" type_code="10">Output parameter Points</item>
|
|
<item name="ID" index="0" type_name="gh_guid" type_code="9">3ede854e-c753-40eb-84cb-b48008f14fd4</item>
|
|
<item name="ID" index="1" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
<item name="Mutable" index="0" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Mutable" index="1" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Name" index="0" type_name="gh_string" type_code="10">Output</item>
|
|
<item name="Name" index="1" type_name="gh_string" type_code="10">Points</item>
|
|
<item name="Optional" index="0" type_name="gh_bool" type_code="1">false</item>
|
|
<item name="Optional" index="1" type_name="gh_bool" type_code="1">false</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="param_input" index="0">
|
|
<items count="12">
|
|
<item name="Access" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">false</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable Forward</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">ce1f978e-a982-441e-8781-42beeed9349f</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Forward</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Forward</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Source" index="0" type_name="gh_guid" type_code="9">11d6ae9c-db85-41da-a72e-197fbac37970</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>4300</X>
|
|
<Y>390</Y>
|
|
<W>44</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>4323.5</X>
|
|
<Y>400</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_input" index="1">
|
|
<items count="12">
|
|
<item name="Access" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">false</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable Left</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">57e2c9a0-b37d-4c4b-9e2b-b0e17a521d43</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Left</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Left</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Source" index="0" type_name="gh_guid" type_code="9">4ebc6662-8141-4321-80cb-843bf3aabe95</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>4300</X>
|
|
<Y>410</Y>
|
|
<W>44</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>4323.5</X>
|
|
<Y>420</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">Print, Reflect and Error streams</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">33dd288d-3d90-4a29-8ab3-866accaf2be0</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Output</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Output</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>4374</X>
|
|
<Y>390</Y>
|
|
<W>41</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>4394.5</X>
|
|
<Y>400</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_output" index="1">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter Points</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">a7101779-445c-4899-9b31-ce0a4803f08d</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Points</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Points</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>4374</X>
|
|
<Y>410</Y>
|
|
<W>41</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>4394.5</X>
|
|
<Y>420</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="6">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">e64c5fb1-845c-4ab1-8911-5f338516ba67</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Series</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="4">
|
|
<item name="Description" type_name="gh_string" type_code="10">Create a series of numbers.</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">3091dae8-d5dc-4fac-a891-c5a5c7118bd1</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Series</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Series</item>
|
|
</items>
|
|
<chunks count="5">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>448</X>
|
|
<Y>502</Y>
|
|
<W>104</W>
|
|
<H>64</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>498</X>
|
|
<Y>534</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="param_input" index="0">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">First number in the series</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">bfe8e6e2-eddc-4584-8ce4-005a112f16fc</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Start</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Start</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>450</X>
|
|
<Y>504</Y>
|
|
<W>33</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>468</X>
|
|
<Y>514</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="number" type_name="gh_double" type_code="6">0</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_input" index="1">
|
|
<items count="7">
|
|
<item name="Description" type_name="gh_string" type_code="10">Step size for each successive number</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">3ef6124c-d6dc-426b-a979-0ad9d65d59da</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Step</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Step</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">2b79d86a-c886-48ba-a41d-bd2a6298f66d</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>450</X>
|
|
<Y>524</Y>
|
|
<W>33</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>468</X>
|
|
<Y>534</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="number" type_name="gh_double" type_code="6">1</item>
|
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<item name="Description" type_name="gh_string" type_code="10">Number of values in the series</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">41382c6d-efca-4f46-89a4-f4a83cdfe7f4</item>
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<item name="Name" type_name="gh_string" type_code="10">Count</item>
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<item name="NickName" type_name="gh_string" type_code="10">Count</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">7f4503d3-711b-4865-8533-135f511f6962</item>
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<X>450</X>
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<item name="number" type_name="gh_int32" type_code="3">500</item>
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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">Series of numbers</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">4a521433-15f9-4232-bbd6-a4193c7aaecc</item>
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<item name="Name" type_name="gh_string" type_code="10">Series</item>
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<item name="NickName" type_name="gh_string" type_code="10">Series</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>513</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>531.5</X>
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<item name="GUID" type_name="gh_guid" type_code="9">dd8134c0-109b-4012-92be-51d843edfff7</item>
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<item name="Name" type_name="gh_string" type_code="10">Duplicate Data</item>
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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">Duplicate data a predefined number of times.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">b15849e1-cdad-4c2e-becd-859af856d608</item>
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<item name="Name" type_name="gh_string" type_code="10">Duplicate Data</item>
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<item name="NickName" type_name="gh_string" type_code="10">Duplicate Data</item>
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<X>435</X>
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<W>107</W>
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<H>64</H>
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</item>
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<X>494</X>
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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">Data to duplicate</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">907f9087-e15f-4411-b460-551d6e02779d</item>
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<item name="Name" type_name="gh_string" type_code="10">Data</item>
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<item name="NickName" type_name="gh_string" type_code="10">Data</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">dbcbb453-e3a7-47df-892d-f8d3b9463741</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>437</X>
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<W>42</W>
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<H>20</H>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>459.5</X>
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<item name="TypeName" type_name="gh_string" type_code="10">Grasshopper.Kernel.Types.GH_Integer</item>
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<item name="number" type_name="gh_int32" type_code="3">1</item>
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<chunk name="param_input" index="1">
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<items count="7">
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<item name="Description" type_name="gh_string" type_code="10">Number of duplicates</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">4af8efc9-5fa2-429a-bc4a-bc67bfcdce44</item>
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<item name="Name" type_name="gh_string" type_code="10">Number</item>
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<item name="NickName" type_name="gh_string" type_code="10">Number</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">7f4503d3-711b-4865-8533-135f511f6962</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>437</X>
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<H>20</H>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>459.5</X>
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<item name="number" type_name="gh_int32" type_code="3">500</item>
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<item name="Description" type_name="gh_string" type_code="10">Retain list order</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">96c94299-014f-4d47-a2bf-e758b61acfb5</item>
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<item name="Name" type_name="gh_string" type_code="10">Order</item>
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<item name="NickName" type_name="gh_string" type_code="10">Order</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>437</X>
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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>459.5</X>
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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">1</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">11d6ae9c-db85-41da-a72e-197fbac37970</item>
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<item name="NickName" type_name="gh_string" type_code="10">Data</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>509</X>
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<W>31</W>
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<H>60</H>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>524.5</X>
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<item name="Name" type_name="gh_string" type_code="10">Interpolate</item>
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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">Create an interpolated curve through a set of points.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">6264624f-4741-4ad5-b390-ffeaf96b650b</item>
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<item name="Name" type_name="gh_string" type_code="10">Interpolate</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>4470</X>
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<X>4530</X>
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<item name="Access" type_name="gh_int32" type_code="3">1</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">9fa61b9f-3d6a-4de9-b3cf-891575df3642</item>
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<item name="Name" type_name="gh_string" type_code="10">Vertices</item>
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<item name="NickName" type_name="gh_string" type_code="10">Vertices</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>4472</X>
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<X>4495</X>
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<item name="Description" type_name="gh_string" type_code="10">Curve degree</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">45884fa8-c111-46db-9464-f554212d0881</item>
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<item name="Name" type_name="gh_string" type_code="10">Degree</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>4472</X>
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<X>4495</X>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">39a08521-0941-45d2-b08b-e760b22d1cfd</item>
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<item name="NickName" type_name="gh_string" type_code="10">Periodic</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<X>4472</X>
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<H>20</H>
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<X>4495</X>
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<Y>387</Y>
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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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<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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<item name="boolean" type_name="gh_bool" type_code="1">false</item>
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</chunks>
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</chunk>
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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">Resulting nurbs curve</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">fbac77a5-b15a-4a25-8bf0-69012470613a</item>
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<item name="Name" type_name="gh_string" type_code="10">Curve</item>
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|
<item name="NickName" type_name="gh_string" type_code="10">Curve</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>4545</X>
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<Y>337</Y>
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<W>44</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>4567</X>
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<Y>347</Y>
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</item>
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</items>
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</chunk>
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</chunk>
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<chunk name="param_output" index="1">
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<items count="6">
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<item name="Description" type_name="gh_string" type_code="10">Curve length</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">9e8512d8-16fc-432e-836f-b8d89a934da4</item>
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<item name="Name" type_name="gh_string" type_code="10">Length</item>
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<item name="NickName" type_name="gh_string" type_code="10">Length</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>4545</X>
|
|
<Y>357</Y>
|
|
<W>44</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>4567</X>
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<Y>367</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_output" index="2">
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<items count="6">
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|
<item name="Description" type_name="gh_string" type_code="10">Curve domain</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">0b6cb763-0a93-4ae2-96a2-fdcd7eb5bc57</item>
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<item name="Name" type_name="gh_string" type_code="10">Domain</item>
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|
<item name="NickName" type_name="gh_string" type_code="10">Domain</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">
|
|
<X>4545</X>
|
|
<Y>377</Y>
|
|
<W>44</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>4567</X>
|
|
<Y>387</Y>
|
|
</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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</chunks>
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</chunk>
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</chunks>
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</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">33bcf975-a0b2-4b54-99fd-585c893b9e88</item>
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|
<item name="Name" type_name="gh_string" type_code="10">Digit Scroller</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="6">
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<item name="Description" type_name="gh_string" type_code="10">Numeric scroller for single numbers</item>
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|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">7f4503d3-711b-4865-8533-135f511f6962</item>
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|
<item name="Name" type_name="gh_string" type_code="10">Digit Scroller</item>
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|
<item name="NickName" type_name="gh_string" type_code="10">Digit Scroller</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="2">
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<chunk name="Scroller">
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|
<items count="5">
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<item name="Digits" type_name="gh_int32" type_code="3">12</item>
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|
<item name="Prefix" type_name="gh_string" type_code="10">Digit Scroller</item>
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|
<item name="Radix" type_name="gh_int32" type_code="3">11</item>
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|
<item name="Suffix" type_name="gh_string" type_code="10"></item>
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|
<item name="Value" type_name="gh_decimal" type_code="7">250.0</item>
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</items>
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</chunk>
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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>64</X>
|
|
<Y>228</Y>
|
|
<W>250</W>
|
|
<H>20</H>
|
|
</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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|
<X>64.23257</X>
|
|
<Y>228.5999</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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</chunks>
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</chunk>
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<chunk name="Object" index="10">
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<items count="2">
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<item name="GUID" type_name="gh_guid" type_code="9">9df5e896-552d-4c8c-b9ca-4fc147ffa022</item>
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<item name="Name" type_name="gh_string" type_code="10">Expression</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">Evaluate an expression</item>
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|
<item name="Expression" type_name="gh_string" type_code="10">1/2*X^2+1/6*X^3+1/24*X^4+1/120*X^5+1/720*X^6+1/5040*X^7+1/40320*X^8++1/322560*X^9</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">ccba0cf5-bf78-4d56-8ae4-a8179e226134</item>
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<item name="Name" type_name="gh_string" type_code="10">Expression</item>
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<item name="NickName" type_name="gh_string" type_code="10">Expression</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">
|
|
<X>1806</X>
|
|
<Y>956</Y>
|
|
<W>903</W>
|
|
<H>84</H>
|
|
</item>
|
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2344</X>
|
|
<Y>998</Y>
|
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</item>
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</items>
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</chunk>
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<chunk name="ParameterData">
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<items count="7">
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<item name="InputCount" type_name="gh_int32" type_code="3">4</item>
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<item name="InputId" index="0" type_name="gh_guid" type_code="9">ba80fd98-91a1-4958-b6a7-a94e40e52bdb</item>
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<item name="InputId" index="1" type_name="gh_guid" type_code="9">ba80fd98-91a1-4958-b6a7-a94e40e52bdb</item>
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<item name="InputId" index="2" type_name="gh_guid" type_code="9">ba80fd98-91a1-4958-b6a7-a94e40e52bdb</item>
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<item name="InputId" index="3" type_name="gh_guid" type_code="9">ba80fd98-91a1-4958-b6a7-a94e40e52bdb</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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<chunk name="InputParam" index="0">
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<items count="7">
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<item name="Description" type_name="gh_string" type_code="10">Expression variable</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">dd7fdd44-23e0-495d-acff-e72efd794035</item>
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<item name="Name" type_name="gh_string" type_code="10">Variable X</item>
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|
<item name="NickName" type_name="gh_string" type_code="10">X</item>
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|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
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|
<item name="Source" index="0" type_name="gh_guid" type_code="9">38133632-4c97-466b-b444-265770619668</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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<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">
|
|
<X>1808</X>
|
|
<Y>958</Y>
|
|
<W>188</W>
|
|
<H>20</H>
|
|
</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>1903.5</X>
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|
<Y>968</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="InputParam" index="1">
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<items count="6">
|
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<item name="Description" type_name="gh_string" type_code="10">Expression variable</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">de1f1771-1bb3-4fa6-a496-93db22855cd1</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Variable O_EZIS_O_SIZE_O</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">O_EZIS_O_SIZE_O</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="1">
|
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<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>1808</X>
|
|
<Y>978</Y>
|
|
<W>188</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>1903.5</X>
|
|
<Y>988</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="2">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Expression variable</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">275ad39a-b984-4aaf-81ae-4e66af05f4b5</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Variable O_REWOP_TOOR_O_ROOT_POWER_O</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">O_REWOP_TOOR_O_ROOT_POWER_O</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>1808</X>
|
|
<Y>998</Y>
|
|
<W>188</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>1903.5</X>
|
|
<Y>1008</Y>
|
|
</item>
|
|
</items>
|
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</chunk>
|
|
</chunks>
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</chunk>
|
|
<chunk name="InputParam" index="3">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Expression variable</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">37f0162d-6447-441a-b2ea-f4d2401e6c66</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Variable O_REWOP_O_POWER_O</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">O_REWOP_O_POWER_O</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>1808</X>
|
|
<Y>1018</Y>
|
|
<W>188</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>1903.5</X>
|
|
<Y>1028</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="0">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Result of expression</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">d5068386-bfdb-4d84-9996-16eda0ccf7db</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Result</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">R</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>2691</X>
|
|
<Y>958</Y>
|
|
<W>16</W>
|
|
<H>80</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2699</X>
|
|
<Y>998</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
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</chunks>
|
|
</chunk>
|
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</chunks>
|
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</chunk>
|
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<chunk name="Object" index="11">
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<items count="2">
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<item name="GUID" type_name="gh_guid" type_code="9">eeafc956-268e-461d-8e73-ee05c6f72c01</item>
|
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<item name="Name" type_name="gh_string" type_code="10">Stream Filter</item>
|
|
</items>
|
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<chunks count="1">
|
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<chunk name="Container">
|
|
<items count="4">
|
|
<item name="Description" type_name="gh_string" type_code="10">Filters a collection of input streams</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">75ab0454-6c42-41ca-a7bd-b7b690490a13</item>
|
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<item name="Name" type_name="gh_string" type_code="10">Stream Filter</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Stream Filter</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>3032</X>
|
|
<Y>676</Y>
|
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<W>92</W>
|
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<H>124</H>
|
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</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>3077</X>
|
|
<Y>738</Y>
|
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</item>
|
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</chunk>
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<chunk name="ParameterData">
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<items count="9">
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<item name="InputCount" type_name="gh_int32" type_code="3">6</item>
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<item name="InputId" index="0" type_name="gh_guid" type_code="9">2e3ab970-8545-46bb-836c-1c11e5610bce</item>
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<item name="InputId" index="1" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
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<item name="InputId" index="2" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</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="InputId" index="4" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
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<item name="InputId" index="5" 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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<X>3049.5</X>
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<X>3034</X>
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<X>3049.5</X>
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<item name="Access" type_name="gh_int32" type_code="3">2</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">8c31653e-a32d-4e15-848e-6e8646f02af5</item>
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<item name="Mutable" type_name="gh_bool" type_code="1">false</item>
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<item name="NickName" type_name="gh_string" type_code="10">2</item>
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<item name="Optional" type_name="gh_bool" type_code="1">true</item>
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<X>3034</X>
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<X>3049.5</X>
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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">Input stream at index 3</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">6d94601b-423b-4d8d-bac6-0815a8b74468</item>
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<item name="Mutable" type_name="gh_bool" type_code="1">false</item>
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<item name="Name" type_name="gh_string" type_code="10">Stream 3</item>
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<item name="NickName" type_name="gh_string" type_code="10">3</item>
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<X>3034</X>
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<X>3049.5</X>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">a39af198-a084-47e9-836d-0fc9ef465e43</item>
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<ARGB>255;255;255;255</ARGB>
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<X>764.5</X>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">566fbaef-fa0c-41d3-8c52-f9c05388b4a4</item>
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<item name="Name" type_name="gh_string" type_code="10">A</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="GUID" type_name="gh_guid" type_code="9">079bd9bd-54a0-41d4-98af-db999015f63d</item>
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<item name="Name" type_name="gh_string" type_code="10">VB Script</item>
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<item name="AdditionalSource" type_name="gh_string" type_code="10"> Private Function IsSet(ByVal param As String) As Boolean ' Check if an input parameter has data
|
|
Dim i As Integer = Component.Params.IndexOfInputParam(param)
|
|
If i > -1 Then
|
|
Return Component.Params.Input.ElementAt(i).DataType > 1 ' input parameter DataType of 1 means it's not receiving input (internal or external)
|
|
Else
|
|
Msg("error", "Input parameter '" & param & "' not found")
|
|
Return False
|
|
End If
|
|
End Function
|
|
|
|
Private Sub Msg(ByVal type As String, ByVal msg As String) ' Output an error, warning, or informational message
|
|
Select Case type
|
|
Case "error"
|
|
Component.AddRuntimeMessage(GH_RuntimeMessageLevel.Error, msg)
|
|
Print("Error: " & msg)
|
|
Case "warning"
|
|
Component.AddRuntimeMessage(GH_RuntimeMessageLevel.Warning, msg)
|
|
Print("Warning: " & msg)
|
|
Case "info"
|
|
Component.AddRuntimeMessage(GH_RuntimeMessageLevel.Remark, msg)
|
|
Print(msg)
|
|
End Select
|
|
End Sub
|
|
|
|
' Solve for the m parameter from length and width (reference {1} equation (34), except b = width and K(k) and E(k) should be K(m) and E(m))
|
|
Private Function SolveMFromLenWid(ByVal L As Double, ByVal w As Double) As Double
|
|
If w = 0 Then
|
|
Return Defined.M_ZERO_W ' for the boundry condition width = 0, bypass the function and return the known m value
|
|
End If
|
|
|
|
Dim n As Integer = 1 ' Iteration counter (quit if >MAXIT)
|
|
Dim lower As Double = 0 ' m must be within this range
|
|
Dim upper As Double = 1
|
|
Dim m As Double
|
|
Dim cwl As Double
|
|
|
|
Do While (upper - lower) > Defined.MAXERR AndAlso (n) < Defined.MAXIT ' Repeat until range narrow enough or MAXIT
|
|
m = (upper + lower) / 2
|
|
cwl = 2 * EllipticE(m) / EllipticK(m) - 1 ' calculate w/L with the test value of m
|
|
If cwl < w / L Then ' compares the calculated w/L with the actual w/L then narrows the range of possible m
|
|
upper = m
|
|
Else
|
|
lower = m
|
|
End If
|
|
n += 1
|
|
Loop
|
|
Return m
|
|
End Function
|
|
|
|
' Solve for the m parameter from length and height (reference {1} equation (33), except K(k) should be K(m) and k = sqrt(m))
|
|
' Note that it's actually possible to find 2 valid values for m (hence 2 width values) at certain height values
|
|
Private Function SolveMFromLenHt(ByVal L As Double, ByVal h As Double) As List(Of Double)
|
|
Dim n As Integer = 1 ' Iteration counter (quit if >MAXIT)
|
|
Dim lower As Double = 0 ' m must be within this range
|
|
Dim upper As Double = 1
|
|
Dim twoWidths As Boolean = h / L >= Defined.DOUBLE_W_HL_RATIO And h / L < Defined.MAX_HL_RATIO ' check to see if h/L is within the range where 2 solutions for the width are possible
|
|
Dim m As Double
|
|
Dim mult_m As New List(Of Double)
|
|
Dim chl As Double
|
|
|
|
If twoWidths Then
|
|
' find the first of two possible solutions for m with the following limits:
|
|
lower = Defined.M_DOUBLE_W ' see constants at bottom of script
|
|
upper = Defined.M_MAXHEIGHT ' see constants at bottom of script
|
|
Do While (upper - lower) > Defined.MAXERR AndAlso (n) < Defined.MAXIT ' Repeat until range narrow enough or MAXIT
|
|
m = (upper + lower) / 2
|
|
chl = Math.Sqrt(m) / EllipticK(m) ' calculate h/L with the test value of m
|
|
If chl > h / L Then ' compares the calculated h/L with the actual h/L then narrows the range of possible m
|
|
upper = m
|
|
Else
|
|
lower = m
|
|
End If
|
|
n += 1
|
|
Loop
|
|
mult_m.Add(m)
|
|
|
|
' then find the second of two possible solutions for m with the following limits:
|
|
lower = Defined.M_MAXHEIGHT ' see constants at bottom of script
|
|
upper = 1
|
|
Do While (upper - lower) > Defined.MAXERR AndAlso (n) < Defined.MAXIT ' Repeat until range narrow enough or MAXIT
|
|
m = (upper + lower) / 2
|
|
chl = Math.Sqrt(m) / EllipticK(m) ' calculate h/L with the test value of m
|
|
If chl < h / L Then ' compares the calculated h/L with the actual h/L then narrows the range of possible m
|
|
upper = m
|
|
Else
|
|
lower = m
|
|
End If
|
|
n += 1
|
|
Loop
|
|
|
|
If m <= Defined.M_MAX Then ' return this m parameter only if it falls within the maximum useful value (above which the curve breaks down)
|
|
mult_m.Add(m)
|
|
End If
|
|
|
|
Else
|
|
' find the one possible solution for the m parameter
|
|
upper = Defined.M_DOUBLE_W ' limit the upper end of the search to the maximum value of m for which only one solution exists
|
|
Do While (upper - lower) > Defined.MAXERR AndAlso (n) < Defined.MAXIT ' Repeat until range narrow enough or MAXIT
|
|
m = (upper + lower) / 2
|
|
chl = Math.Sqrt(m) / EllipticK(m) ' calculate h/L with the test value of m
|
|
If chl > h / L Then ' compares the calculated h/L with the actual h/L then narrows the range of possible m
|
|
upper = m
|
|
Else
|
|
lower = m
|
|
End If
|
|
n += 1
|
|
Loop
|
|
mult_m.Add(m)
|
|
End If
|
|
|
|
Return mult_m
|
|
End Function
|
|
|
|
' Solve for the m parameter from width and height (derived from reference {1} equations (33) and (34) with same notes as above)
|
|
Private Function SolveMFromWidHt(ByVal w As Double, ByVal h As Double) As Double
|
|
Dim n As Integer = 1 ' Iteration counter (quit if >MAXIT)
|
|
Dim lower As Double = 0 ' m must be within this range
|
|
Dim upper As Double = 1
|
|
Dim m As Double
|
|
Dim cwh As Double
|
|
|
|
Do While (upper - lower) > Defined.MAXERR AndAlso (n) < Defined.MAXIT ' Repeat until range narrow enough or MAXIT
|
|
m = (upper + lower) / 2
|
|
cwh = (2 * EllipticE(m) - EllipticK(m)) / Math.Sqrt(m) ' calculate w/h with the test value of m
|
|
If cwh < w / h Then ' compares the calculated w/h with the actual w/h then narrows the range of possible m
|
|
upper = m
|
|
Else
|
|
lower = m
|
|
End If
|
|
n += 1
|
|
Loop
|
|
|
|
Return m
|
|
End Function
|
|
|
|
' Calculate length based on height and an m parameter, derived from reference {1} equation (33), except K(k) should be K(m) and k = sqrt(m)
|
|
Private Function Cal_L(ByVal h As Double, ByVal m As Double) As Double
|
|
Return h * EllipticK(m) / Math.Sqrt(m)
|
|
End Function
|
|
|
|
' Calculate width based on length and an m parameter, derived from reference {1} equation (34), except b = width and K(k) and E(k) should be K(m) and E(m)
|
|
Private Function Cal_W(ByVal L As Double, ByVal m As Double) As Double
|
|
Return L * (2 * EllipticE(m) / EllipticK(m) - 1)
|
|
End Function
|
|
|
|
' Calculate height based on length and an m parameter, from reference {1} equation (33), except K(k) should be K(m) and k = sqrt(m)
|
|
Private Function Cal_H(ByVal L As Double, ByVal m As Double) As Double
|
|
Return L * Math.Sqrt(m) / EllipticK(m)
|
|
End Function
|
|
|
|
' Calculate the unique m parameter based on a start tangent angle, from reference {2}, just above equation (9a), that states k = Sin(angle / 2 + Pi / 4),
|
|
' but as m = k^2 and due to this script's need for an angle rotated 90° versus the one in reference {1}, the following formula is the result
|
|
' New note: verified by reference {4}, pg. 78 at the bottom
|
|
Private Function Cal_M(ByVal a As Double) As Double
|
|
Return (1 - Math.Cos(a)) / 2 ' equal to Sin^2(a/2) too
|
|
End Function
|
|
|
|
' Calculate start tangent angle based on an m parameter, derived from above formula
|
|
Private Function Cal_A(ByVal m As Double) As Double
|
|
Return Math.Acos(1 - 2 * m)
|
|
End Function
|
|
|
|
' This is the heart of this script, taking the found (or specified) length, width, and angle values along with the found m parameter to create
|
|
' a list of points that approximate the shape or form of the elastica. It works by finding the x and y coordinates (which are reversed versus
|
|
' the original equations (12a) and (12b) from reference {2} due to the 90° difference in orientation) based on the tangent angle along the curve.
|
|
' See reference {2} for more details on how they derived it. Note that to simplify things, the algorithm only calculates the points for half of the
|
|
' curve, then mirrors those points along the y-axis.
|
|
Private Function FindBendForm(ByVal L As Double, ByVal w As Double, ByVal m As Double, ByVal ang As Double, ByVal refPln As Plane) As List(Of Point3d)
|
|
L = L / 2 ' because the below algorithm is based on the formulas in reference {2} for only half of the curve
|
|
w = w / 2 ' same
|
|
|
|
If ang = 0 Then ' if angle (and height) = 0, then simply return the start and end points of the straight line
|
|
Dim out As New List(Of Point3d)
|
|
out.Add(refPln.PointAt(w, 0, 0))
|
|
out.Add(refPln.PointAt(-w, 0, 0))
|
|
Return out
|
|
End If
|
|
|
|
Dim x As Double
|
|
Dim y As Double
|
|
Dim halfCurvePts As New List(Of Point3d)
|
|
Dim fullCurvePts As New List(Of Point3d)
|
|
Dim translatedPts As New List(Of Point3d)
|
|
|
|
ang -= Math.PI / 2 ' a hack to allow this algorithm to work, since the original curve in paper {2} was rotated 90°
|
|
Dim angB As Double = ang + (-Math.PI / 2 - ang) / Defined.CURVEDIVS ' angB is the 'lowercase theta' which should be in formula {2}(12b) as the interval
|
|
' start [a typo...see equation(3)]. It's necessary to start angB at ang + [interval] instead of just ang due to integration failing at angB = ang
|
|
halfCurvePts.Add(New Point3d(w, 0, 0)) ' start with this known initial point, as integration will fail when angB = ang
|
|
|
|
' each point {x, y} is calculated from the tangent angle, angB, that occurs at each point (which is why this iterates from ~ang to -pi/2, the known end condition)
|
|
Do While Math.Round(angB, Defined.ROUNDTO) >= Math.Round(-Math.PI / 2, Defined.ROUNDTO)
|
|
y = (Math.Sqrt(2) * Math.Sqrt(Math.Sin(ang) - Math.Sin(angB)) * (w + L)) / (2 * EllipticE(m)) ' note that x and y are swapped vs. (12a) and (12b)
|
|
x = (L / (Math.Sqrt(2) * EllipticK(m))) * Simpson(angB, -Math.PI / 2, 500, ang) ' calculate the Simpson approximation of the integral (function f below)
|
|
' over the interval angB ('lowercase theta') to -pi/2. side note: is 500 too few iterations for the Simson algorithm?
|
|
|
|
If Math.Round(x, Defined.ROUNDTO) = 0 Then x = 0
|
|
halfCurvePts.Add(New Point3d(x, y, 0))
|
|
|
|
angB += (-Math.PI / 2 - ang) / Defined.CURVEDIVS ' onto the next tangent angle
|
|
Loop
|
|
|
|
' After finding the x and y values for half of the curve, add the {-x, y} values for the rest of the curve
|
|
For Each point As Point3d In halfCurvePts
|
|
If Math.Round(point.X, Defined.ROUNDTO) = 0 Then
|
|
If Math.Round(point.Y, Defined.ROUNDTO) = 0 Then
|
|
fullCurvePts.Add(New Point3d(0, 0, 0)) ' special case when width = 0: when x = 0, only duplicate the point when y = 0 too
|
|
End If
|
|
Else
|
|
fullCurvePts.Add(New Point3d(-point.X, point.Y, 0))
|
|
End If
|
|
Next
|
|
halfCurvePts.Reverse
|
|
fullCurvePts.AddRange(halfCurvePts)
|
|
|
|
For Each p As Point3d In fullCurvePts
|
|
translatedPts.Add(refPln.PointAt(p.X, p.Y, p.Z)) ' translate the points from the reference plane to the world plane
|
|
Next
|
|
|
|
Return translatedPts
|
|
End Function
|
|
|
|
' Interpolates the points from FindBendForm to create the Elastica curve. Uses start & end tangents for greater accuracy.
|
|
Private Function MakeCurve(ByVal pts As List(Of Point3d), ByVal ang As Double, ByVal refPln As Plane) As Curve
|
|
If ang <> 0 Then
|
|
Dim ts, te As New Vector3d(refPln.XAxis)
|
|
ts.Rotate(ang, refPln.ZAxis)
|
|
te.Rotate(-ang, refPln.ZAxis)
|
|
Return Curve.CreateInterpolatedCurve(pts, 3, CurveKnotStyle.Chord, ts, te) ' 3rd degree curve with 'Chord' Knot Style
|
|
Else
|
|
Return Curve.CreateInterpolatedCurve(pts, 3) ' if angle (and height) = 0, then simply interpolate the straight line (no start/end tangents)
|
|
End If
|
|
End Function
|
|
|
|
' Implements the Simpson approximation for an integral of function f below
|
|
Public Function Simpson(a As Double, b As Double, n As Integer, theta As Double) As Double 'n should be an even number
|
|
Dim j As Integer, s1 As Double, s2 As Double, h As Double
|
|
h = (b - a) / n
|
|
s1 = 0
|
|
s2 = 0
|
|
For j = 1 To n - 1 Step 2
|
|
s1 = s1 + fn(a + j * h, theta)
|
|
Next j
|
|
For j = 2 To n - 2 Step 2
|
|
s2 = s2 + fn(a + j * h, theta)
|
|
Next j
|
|
Simpson = h / 3 * (fn(a, theta) + 4 * s1 + 2 * s2 + fn(b, theta))
|
|
End Function
|
|
|
|
' Specific calculation for the above integration
|
|
Public Function fn(x As Double, theta As Double) As Double
|
|
fn = Math.Sin(x) / (Math.Sqrt(Math.Sin(theta) - Math.Sin(x))) ' from reference {2} formula (12b)
|
|
End Function
|
|
|
|
|
|
' Return the Complete Elliptic integral of the 1st kind
|
|
' Abramowitz and Stegun p.591, formula 17.3.11
|
|
' Code from http://www.codeproject.com/Articles/566614/Elliptic-integrals
|
|
Public Function EllipticK(ByVal m As Double) As Double
|
|
Dim sum, term, above, below As Double
|
|
sum = 1
|
|
term = 1
|
|
above = 1
|
|
below = 2
|
|
|
|
For i As Integer = 1 To 100
|
|
term *= above / below
|
|
sum += Math.Pow(m, i) * Math.Pow(term, 2)
|
|
above += 2
|
|
below += 2
|
|
Next
|
|
sum *= 0.5 * Math.PI
|
|
Return sum
|
|
End Function
|
|
|
|
|
|
' Return the Complete Elliptic integral of the 2nd kind
|
|
' Abramowitz and Stegun p.591, formula 17.3.12
|
|
' Code from http://www.codeproject.com/Articles/566614/Elliptic-integrals
|
|
Public Function EllipticE(ByVal m As Double) As Double
|
|
Dim sum, term, above, below As Double
|
|
sum = 1
|
|
term = 1
|
|
above = 1
|
|
below = 2
|
|
|
|
For i As Integer = 1 To 100
|
|
term *= above / below
|
|
sum -= Math.Pow(m, i) * Math.Pow(term, 2) / above
|
|
above += 2
|
|
below += 2
|
|
Next
|
|
sum *= 0.5 * Math.PI
|
|
Return sum
|
|
End Function
|
|
|
|
Friend Partial NotInheritable Class Defined
|
|
Private Sub New()
|
|
End Sub
|
|
|
|
' Note: most of these values for m and h/L ratio were found with Wolfram Alpha and either specific intercepts (x=0) or local minima/maxima. They should be constant.
|
|
Public Const M_SKETCHY As Double = 0.95 ' value of the m parameter where the curvature near the ends of the curve gets wonky
|
|
Public Const M_MAX As Double = 0.993 ' maximum useful value of the m parameter, above which this algorithm for the form of the curve breaks down
|
|
Public Const M_ZERO_W As Double = 0.826114765984970336 ' value of the m parameter when width = 0
|
|
Public Const M_MAXHEIGHT As Double = 0.701327460663101223 ' value of the m parameter at maximum possible height of the bent rod/wire
|
|
Public Const M_DOUBLE_W As Double = 0.180254422335013983 ' minimum value of the m parameter when two width values are possible for a given height and length
|
|
Public Const DOUBLE_W_HL_RATIO As Double = 0.257342117984635757 ' value of the height/length ratio above which there are two possible width values
|
|
Public Const MAX_HL_RATIO As Double = 0.403140189705650243 ' maximum possible value of the height/length ratio
|
|
|
|
Public Const MAXERR As Double = 0.0000000001 ' error tolerance
|
|
Public Const MAXIT As Integer = 100 ' maximum number of iterations
|
|
Public Const ROUNDTO As Integer = 10 ' number of decimal places to round off to
|
|
Public Const CURVEDIVS As Integer = 50 ' number of sample points for building the curve (or half-curve as it were)
|
|
End Class</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">A VB.NET scriptable component</item>
|
|
<item name="EditorPosition" type_name="gh_drawing_point" type_code="30">
|
|
<X>98</X>
|
|
<Y>86</Y>
|
|
</item>
|
|
<item name="Hidden" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">84724672-afcf-4457-9ded-ef302f621c7f</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">VB Script</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">VB Script</item>
|
|
<item name="OutParameter" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ReferenceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ScriptSource" type_name="gh_string" type_code="10"> ' -----------------------------------------------------------------
|
|
' Elastic Bending Script by Will McElwain
|
|
' Created February 2014
|
|
'
|
|
' DESCRIPTION:
|
|
' This beast creates the so-called 'elastica curve', the shape a long, thin rod or wire makes when it is bent elastically (i.e. not permanently). In this case, force
|
|
' is assumed to only be applied horizontally (which would be in line with the rod at rest) and both ends are assumed to be pinned or hinged meaning they are free
|
|
' to rotate (as opposed to clamped, when the end tangent angle is fixed, usually horizontally). An interesting finding is that it doesn't matter what the material or
|
|
' cross-sectional area is, as long as they're uniform along the entire length. Everything makes the same shape when bent as long as it doesn't cross the threshold
|
|
' from elastic to plastic (permanent) deformation (I don't bother to find that limit here, but can be found if the yield stress for a material is known).
|
|
'
|
|
' Key to the formulas used in this script are elliptic integrals, specifically K(m), the complete elliptic integral of the first kind, and E(m), the complete elliptic
|
|
' integral of the second kind. There was a lot of confusion over the 'm' and 'k' parameters for these functions, as some people use them interchangeably, but they are
|
|
' not the same. m = k^2 (thus k = Sqrt(m)). I try to use the 'm' parameter exclusively to avoid this confusion. Note that there is a unique 'm' parameter for every
|
|
' configuration/shape of the elastica curve.
|
|
'
|
|
' This script tries to find that unique 'm' parameter based on the inputs. The algorithm starts with a test version of m, evaluates an expression, say 2*E(m)/K(m)-1,
|
|
' then compares the result to what it should be (in this case, a known width/length ratio). Iterate until the correct m is found. Once we have m, we can then calculate
|
|
' all of the other unknowns, then find points that lie on that curve, then interpolate those points for the actual curve. You can also use Wolfram|Alpha as I did to
|
|
' find the m parameter based on the equations in this script (example here: http://tiny.cc/t4tpbx for when say width=45.2 and length=67.1).
|
|
'
|
|
' Other notes:
|
|
' * This script works with negative values for width, which will creat a self-intersecting curve (as it should). The curvature of the elastica starts to break down around
|
|
' m=0.95 (~154°), but this script will continue to work until M_MAX, m=0.993 (~169°). If you wish to ignore self-intersecting curves, set ignoreSelfIntersecting to True
|
|
' * When the only known values are length and height, it is actually possible for certain ratios of height to length to have two valid m values (thus 2 possible widths
|
|
' and angles). This script will return them both.
|
|
' * Only the first two valid parameters (of the required ones) will be used, meaning if all four are connected (length, width or a PtB, height, and angle), this script will
|
|
' only use length and width (or a PtB).
|
|
' * Depending on the magnitude of your inputs (say if they're really small, like if length < 10), you might have to increase the constant ROUNDTO at the bottom
|
|
'
|
|
' REFERENCES:
|
|
' {1} "The elastic rod" by M.E. Pacheco Q. & E. Pina, http://www.scielo.org.mx/pdf/rmfe/v53n2/v53n2a8.pdf
|
|
' {2} "An experiment in nonlinear beam theory" by A. Valiente, http://www.deepdyve.com/lp/doc/I3lwnxdfGz , also here: http://tiny.cc/Valiente_AEiNBT
|
|
' {3} "Snap buckling, writhing and Loop formation In twisted rods" by V.G.A. GOSS, http://myweb.lsbu.ac.uk/~gossga/thesisFinal.pdf
|
|
' {4} "Theory of Elastic Stability" by Stephen Timoshenko, http://www.scribd.com/doc/50402462/Timoshenko-Theory-of-Elastic-Stability (start on p. 76)
|
|
'
|
|
' INPUT:
|
|
' PtA - First anchor point (required)
|
|
' PtB - Second anchor point (optional, though 2 out of the 4--length, width, height, angle--need to be specified)
|
|
' [note that PtB can be the same as PtA (meaning width would be zero)]
|
|
' [also note that if a different width is additionally specified that's not equal to the distance between PtA and PtB, then the end point will not equal PtB anymore]
|
|
' Pln - Plane of the bent rod/wire, which bends up in the +y direction. The line between PtA and PtB (if specified) must be parallel to the x-axis of this plane
|
|
'
|
|
' ** 2 of the following 4 need to be specified **
|
|
' Len - Length of the rod/wire, which needs to be > 0
|
|
' Wid - Width between the endpoints of the curve [note: if PtB is specified in addition, and distance between PtA and PtB <> width, the end point will be relocated
|
|
' Ht - Height of the bent rod/wire (when negative, curve will bend downward, relative to the input plane, instead)
|
|
' Ang - Inner departure angle or tangent angle (in radians) at the ends of the bent rod/wire. Set up so as width approaches length (thus height approaches zero), angle approaches zero
|
|
'
|
|
' * Following variables only needed for optional calculating of bending force, not for shape of curve.
|
|
' E - Young's modulus (modulus of elasticity) in GPa (=N/m^2) (material-specific. for example, 7075 aluminum is roughly 71.7 GPa)
|
|
' I - Second moment of area (or area moment of inertia) in m^4 (cross-section-specific. for example, a hollow rod
|
|
' would have I = pi * (outer_diameter^4 - inner_diameter^4) / 32
|
|
' Note: E*I is also known as flexural rigidity or bending stiffness
|
|
'
|
|
' OUTPUT:
|
|
' out - only for debugging messages
|
|
' Pts - the list of points that approximate the shape of the elastica
|
|
' Crv - the 3rd-degree curve interpolated from those points (with accurate start & end tangents)
|
|
' L - the length of the rod/wire
|
|
' W - the distance (width) between the endpoints of the rod/wire
|
|
' H - the height of the bent rod/wire
|
|
' A - the tangent angle at the (start) end of the rod/wire
|
|
' F - the force needed to hold the rod/wire in a specific shape (based on the material properties & cross-section) **be sure your units for 'I' match your units for the
|
|
' rest of your inputs (length, width, etc.). Also note that the critical buckling load (force) that makes the rod/wire start to bend can be found at height=0
|
|
'
|
|
' THANKS TO:
|
|
' Mårten Nettelbladt (thegeometryofbending.blogspot.com)
|
|
' Daniel Piker (Kangaroo plugin)
|
|
' David Rutten (Grasshopper guru)
|
|
' Euler & Bernoulli (the O.G.'s)
|
|
'
|
|
' -----------------------------------------------------------------
|
|
|
|
Dim ignoreSelfIntersecting As Boolean = False ' set to True if you don't want to output curves where width < 0, which creates a self-intersecting curve
|
|
|
|
Dim inCt As Integer = 0 ' count the number of required parameters that are receiving data
|
|
Dim length As Double
|
|
Dim width As System.Object = Nothing ' need to set as Nothing so we can check if it has been assigned a value later
|
|
Dim height As Double
|
|
Dim angle As Double
|
|
Dim m As Double
|
|
Dim multiple_m As New List(Of Double)
|
|
Dim AtoB As Line
|
|
Dim flip_H As Boolean = False ' if height is negative, this flag will be set
|
|
Dim flip_A As Boolean = False ' if angle is negative, this flag will be set
|
|
|
|
If Not IsSet("Pln") Then
|
|
Msg("error", "Base plane is not set")
|
|
Return
|
|
End If
|
|
|
|
If Not IsSet("PtA") Then
|
|
Msg("error", "Point A is not set")
|
|
Return
|
|
End If
|
|
|
|
If Math.Round(Pln.DistanceTo(PtA), Defined.ROUNDTO) <> 0 Then
|
|
Msg("error", "Point A is not on the base plane")
|
|
Return
|
|
End If
|
|
|
|
Dim refPlane As Plane = Pln ' create a reference plane = input plane and set the origin of it to PtA in case PtA isn't the origin already
|
|
refPlane.Origin = PtA
|
|
|
|
If IsSet("PtB") Then
|
|
If Math.Round(Pln.DistanceTo(PtB), Defined.ROUNDTO) <> 0 Then
|
|
Msg("error", "Point B is not on the base plane")
|
|
Return
|
|
End If
|
|
|
|
AtoB = New Line(PtA, PtB)
|
|
If AtoB.Length <> 0 And Not AtoB.Direction.IsPerpendicularTo(Pln.YAxis) Then
|
|
Msg("error", "The line between PtA and PtB is not perpendicular to the Y-axis of the specified plane")
|
|
Return
|
|
End If
|
|
|
|
inCt += 1
|
|
If IsSet("Wid") Then Msg("info", "Wid will override the distance between PtA and PtB. If you do not want this to happen, disconnect PtB or Wid.")
|
|
|
|
width = PtA.DistanceTo(PtB) ' get the width (distance) between PtA and PtB
|
|
|
|
Dim refPtB As Point3d
|
|
refPlane.RemapToPlaneSpace(PtB, refPtB)
|
|
If refPtB.X < 0 Then width = -width ' check if PtB is to the left of PtA...if so, width is negative
|
|
End If
|
|
|
|
If IsSet("Len") Then inCt += 1
|
|
If IsSet("Wid") Then inCt += 1
|
|
If IsSet("Ht") Then inCt += 1
|
|
If IsSet("Ang") Then inCt += 1
|
|
If inCt > 2 Then Msg("info", "More parameters set than are required (out of length, width, height, angle). Only using the first two valid ones.")
|
|
|
|
' check for connected/specified inputs. note: only the first two that it comes across will be used
|
|
If IsSet("Len") Then ' if length is specified then...
|
|
If Len <= 0 Then
|
|
Msg("error", "Length cannot be negative or zero")
|
|
Return
|
|
End If
|
|
If IsSet("Wid") Then ' find height & angle based on length and specified width
|
|
If Wid > Len Then
|
|
Msg("error", "Width is greater than length")
|
|
Return
|
|
End If
|
|
If Wid = Len Then ' skip the solver and set the known values
|
|
height = 0
|
|
m = 0
|
|
angle = 0
|
|
width = Wid
|
|
Else
|
|
m = SolveMFromLenWid(Len, Wid)
|
|
height = Cal_H(Len, m) ' L * Sqrt(m) / K(m)
|
|
angle = Cal_A(m) ' Acos(1 - 2 * m)
|
|
width = Wid
|
|
End If
|
|
|
|
Else If width IsNot Nothing Then ' find height & angle based on length and calculated width (distance between PtA and PtB)
|
|
If width > Len Then
|
|
Msg("error", "Width is greater than length")
|
|
Return
|
|
End If
|
|
If width = Len Then ' skip the solver and set the known values
|
|
height = 0
|
|
m = 0
|
|
angle = 0
|
|
Else
|
|
m = SolveMFromLenWid(Len, width)
|
|
height = Cal_H(Len, m) ' L * Sqrt(m) / K(m)
|
|
angle = Cal_A(m) ' Acos(1 - 2 * m)
|
|
End If
|
|
|
|
Else If IsSet("Ht") Then ' find width & angle based on length and height ** possible to return 2 results **
|
|
If Math.Abs(Ht / Len) > Defined.MAX_HL_RATIO Then
|
|
Msg("error", "Height not possible with given length")
|
|
Return
|
|
End If
|
|
If Ht < 0 Then
|
|
Ht = -Ht ' if height is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = True
|
|
flip_H = True
|
|
End If
|
|
If Ht = 0 Then ' skip the solver and set the known values
|
|
width = Len
|
|
angle = 0
|
|
Else
|
|
multiple_m = SolveMFromLenHt(Len, Ht) ' note that it's possible for two values of m to be found if height is close to max height
|
|
If multiple_m.Count = 1 Then ' if there's only one m value returned, calculate the width & angle here. we'll deal with multiple m values later
|
|
m = multiple_m.Item(0)
|
|
width = Cal_W(Len, m) ' L * (2 * E(m) / K(m) - 1)
|
|
angle = Cal_A(m) ' Acos(1 - 2 * m)
|
|
End If
|
|
End If
|
|
height = Ht
|
|
|
|
Else If IsSet("Ang") Then ' find width & height based on length and angle
|
|
If Ang < 0 Then
|
|
Ang = -Ang ' if angle is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = True
|
|
flip_H = True
|
|
End If
|
|
m = Cal_M(Ang) ' (1 - Cos(a)) / 2
|
|
If Ang = 0 Then ' skip the solver and set the known values
|
|
width = Len
|
|
height = 0
|
|
Else
|
|
width = Cal_W(Len, m) ' L * (2 * E(m) / K(m) - 1)
|
|
height = Cal_H(Len, m) ' L * Sqrt(m) / K(m)
|
|
End If
|
|
angle = Ang
|
|
|
|
Else
|
|
Msg("error", "Need to specify one more parameter in addition to length")
|
|
Return
|
|
End If
|
|
length = Len
|
|
|
|
Else If IsSet("Wid") Then ' if width is specified then...
|
|
If IsSet("Ht") Then ' find length & angle based on specified width and height
|
|
If Ht < 0 Then
|
|
Ht = -Ht ' if height is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = True
|
|
flip_H = True
|
|
End If
|
|
If Ht = 0 Then ' skip the solver and set the known values
|
|
length = Wid
|
|
angle = 0
|
|
Else
|
|
m = SolveMFromWidHt(Wid, Ht)
|
|
length = Cal_L(Ht, m) ' h * K(m) / Sqrt(m)
|
|
angle = Cal_A(m) ' Acos(1 - 2 * m)
|
|
End If
|
|
height = Ht
|
|
|
|
Else If IsSet("Ang") Then ' find length & height based on specified width and angle
|
|
If Wid = 0 Then
|
|
Msg("error", "Curve not possible with width = 0 and an angle as inputs")
|
|
Return
|
|
End If
|
|
If Ang < 0 Then
|
|
Ang = -Ang ' if angle is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = True
|
|
flip_H = True
|
|
End If
|
|
m = Cal_M(Ang) ' (1 - Cos(a)) / 2
|
|
If Ang = 0 Then ' skip the solver and set the known values
|
|
length = Wid
|
|
height = 0
|
|
Else
|
|
length = Wid / (2 * EllipticE(m) / EllipticK(m) - 1)
|
|
If length < 0 Then
|
|
Msg("error", "Curve not possible at specified width and angle (calculated length is negative)")
|
|
Return
|
|
End If
|
|
height = Cal_H(length, m) ' L * Sqrt(m) / K(m)
|
|
End If
|
|
angle = Ang
|
|
|
|
Else
|
|
Msg("error", "Need to specify one more parameter in addition to width (Wid)")
|
|
Return
|
|
End If
|
|
width = Wid
|
|
|
|
Else If width IsNot Nothing Then ' if width is determined by PtA and PtB then...
|
|
If IsSet("Ht") Then ' find length & angle based on calculated width and height
|
|
If Ht < 0 Then
|
|
Ht = -Ht ' if height is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = True
|
|
flip_H = True
|
|
End If
|
|
If Ht = 0 Then ' skip the solver and set the known values
|
|
length = width
|
|
angle = 0
|
|
Else
|
|
m = SolveMFromWidHt(width, Ht)
|
|
length = Cal_L(Ht, m) ' h * K(m) / Sqrt(m)
|
|
angle = Cal_A(m) ' Acos(1 - 2 * m)
|
|
End If
|
|
height = Ht
|
|
|
|
Else If IsSet("Ang") Then ' find length & height based on calculated width and angle
|
|
If width = 0 Then
|
|
Msg("error", "Curve not possible with width = 0 and an angle as inputs")
|
|
Return
|
|
End If
|
|
If Ang < 0 Then
|
|
Ang = -Ang ' if angle is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = True
|
|
flip_H = True
|
|
End If
|
|
m = Cal_M(Ang) ' (1 - Cos(a)) / 2
|
|
If Ang = 0 Then ' skip the solver and set the known values
|
|
length = width
|
|
height = 0
|
|
Else
|
|
length = width / (2 * EllipticE(m) / EllipticK(m) - 1)
|
|
If length < 0 Then
|
|
Msg("error", "Curve not possible at specified width and angle (calculated length is negative)")
|
|
Return
|
|
End If
|
|
height = Cal_H(length, m) ' L * Sqrt(m) / K(m)
|
|
End If
|
|
angle = Ang
|
|
|
|
Else
|
|
Msg("error", "Need to specify one more parameter in addition to PtA and PtB")
|
|
Return
|
|
End If
|
|
|
|
Else If IsSet("Ht") Then ' if height is specified then...
|
|
If IsSet("Ang") Then ' find length & width based on height and angle
|
|
If Ht < 0 Then
|
|
Ht = -Ht ' if height is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_H = True
|
|
flip_A = True
|
|
End If
|
|
If Ht = 0 Then
|
|
Msg("error", "Height can't = 0 if only height and angle are specified")
|
|
Return
|
|
Else
|
|
If Ang < 0 Then
|
|
Ang = -Ang ' if angle is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = Not flip_A
|
|
flip_H = Not flip_H
|
|
End If
|
|
m = Cal_M(Ang) ' (1 - Cos(a)) / 2
|
|
If Ang = 0 Then
|
|
Msg("error", "Angle can't = 0 if only height and angle are specified")
|
|
Return
|
|
Else
|
|
length = Cal_L(Ht, m) ' h * K(m) / Sqrt(m)
|
|
width = Cal_W(length, m) ' L * (2 * E(m) / K(m) - 1)
|
|
End If
|
|
angle = Ang
|
|
End If
|
|
height = Ht
|
|
|
|
Else
|
|
Msg("error", "Need to specify one more parameter in addition to height")
|
|
Return
|
|
End If
|
|
|
|
Else If IsSet("Ang") Then
|
|
Msg("error", "Need to specify one more parameter in addition to angle")
|
|
Return
|
|
Else
|
|
Msg("error", "Need to specify two of the four parameters: length, width (or PtB), height, and angle")
|
|
Return
|
|
End If
|
|
|
|
If m > Defined.M_MAX Then
|
|
Msg("error", "Form of curve not solvable with current algorithm and given inputs")
|
|
Return
|
|
End If
|
|
|
|
refPlane.Origin = refPlane.PointAt(width / 2, 0, 0) ' adjust the origin of the reference plane so that the curve is centered about the y-axis (start of the curve is at x = -width/2)
|
|
|
|
If multiple_m.Count > 1 Then ' if there is more than one m value returned, calculate the width, angle, and curve for each
|
|
Dim multi_pts As New DataTree(Of Point3d)
|
|
Dim multi_crv As New List(Of Curve)
|
|
Dim tmp_pts As New List(Of Point3d)
|
|
Dim multi_W, multi_A, multi_F As New List(Of Double)
|
|
Dim j As Integer = 0 ' used for creating a new branch (GH_Path) for storing pts which is itself a list of points
|
|
|
|
For Each m_val As Double In multiple_m
|
|
width = Cal_W(length, m_val) 'length * (2 * EllipticE(m_val) / EllipticK(m_val) - 1)
|
|
|
|
If width < 0 And ignoreSelfIntersecting Then
|
|
Msg("warning", "One curve is self-intersecting. To enable these, set ignoreSelfIntersecting to False")
|
|
Continue For
|
|
End If
|
|
|
|
If m_val >= Defined.M_SKETCHY Then Msg("info", "Accuracy of the curve whose width = " & Math.Round(width, 4) & " is not guaranteed")
|
|
|
|
angle = Cal_A(m_val) 'Math.Asin(2 * m_val - 1)
|
|
refPlane.Origin = refPlane.PointAt(width / 2, 0, 0) ' adjust the origin of the reference plane so that the curve is centered about the y-axis (start of the curve is at x = -width/2)
|
|
|
|
tmp_pts = FindBendForm(length, width, m_val, angle, refPlane)
|
|
multi_pts.AddRange(tmp_pts, New GH_Path(j))
|
|
multi_crv.Add(MakeCurve(tmp_pts, angle, refPlane))
|
|
|
|
multi_W.Add(width)
|
|
If flip_A Then angle = -angle
|
|
multi_A.Add(angle)
|
|
|
|
E = E * 10 ^ 9 ' Young's modulus input E is in GPa, so we convert to Pa here (= N/m^2)
|
|
multi_F.Add(EllipticK(m_val) ^ 2 * E * I / length ^ 2) ' from reference {4} pg. 79
|
|
|
|
j += 1
|
|
refPlane.Origin = PtA ' reset the reference plane origin to PtA for the next m_val
|
|
'Print("length=" & length & ", width=" & width & ", height=" & height & ", angle=" & angle & ", m=" & m_val & ", k=" & Math.Sqrt(m_val) & ", w/L=" & width / length & ", h/L=" & height / length & ", w/h=" & width / height)
|
|
Next
|
|
|
|
' assign the outputs
|
|
Pts = multi_pts
|
|
Crv = multi_crv
|
|
L = length
|
|
W = multi_W
|
|
If flip_H Then height = -height
|
|
H = height
|
|
A = multi_A
|
|
F = multi_F
|
|
|
|
Else ' only deal with the single m value
|
|
If m >= Defined.M_SKETCHY Then Msg("info", "Accuracy of the curve at these parameters is not guaranteed")
|
|
|
|
If width < 0 And ignoreSelfIntersecting Then
|
|
Msg("error", "Curve is self-intersecting. To enable these, set ignoreSelfIntersecting to False")
|
|
Return
|
|
End If
|
|
|
|
Pts = FindBendForm(length, width, m, angle, refPlane)
|
|
Crv = MakeCurve(pts, angle, refPlane)
|
|
L = length
|
|
W = width
|
|
If flip_H Then height = -height
|
|
H = height
|
|
If flip_A Then angle = -angle
|
|
A = angle
|
|
|
|
E = E * 10 ^ 9 ' Young's modulus input E is in GPa, so we convert to Pa here (= N/m^2)
|
|
F = EllipticK(m) ^ 2 * E * I / length ^ 2 ' from reference {4} pg. 79. Note: the critical buckling (that makes the rod/wire start to bend) can be found at height=0 (width=length)
|
|
|
|
'height = Math.Sqrt(((2 * Len / 5) ^ 2 - ((Wid - Len / 5) / 2) ^ 2) ' quick approximation discovered by Mårten of 'Geometry of Bending' fame ( http://tiny.cc/it2pbx )
|
|
'width = (Len +/- 2 * Math.Sqrt(4 * Len ^ 2 - 25 * Ht ^ 2)) / 5 ' derived from above
|
|
'length = (2 * Math.Sqrt(15 * Ht ^ 2 + 4 * Wid ^ 2) - Wid) / 3 ' derived from above
|
|
|
|
'Print("length=" & length & ", width=" & width & ", height=" & height & ", angle=" & angle & ", m=" & m & ", k=" & Math.Sqrt(m) & ", w/L=" & width / length & ", h/L=" & height / length & ", w/h=" & width / height)
|
|
End If
|
|
</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2239</X>
|
|
<Y>2912</Y>
|
|
<W>84</W>
|
|
<H>184</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2281</X>
|
|
<Y>3004</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="ParameterData">
|
|
<items count="19">
|
|
<item name="InputCount" type_name="gh_int32" type_code="3">9</item>
|
|
<item name="InputId" index="0" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="InputId" index="1" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="InputId" index="2" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="InputId" index="3" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="InputId" index="4" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="InputId" index="5" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="InputId" index="6" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="InputId" index="7" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="InputId" index="8" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="OutputCount" type_name="gh_int32" type_code="3">8</item>
|
|
<item name="OutputId" index="0" type_name="gh_guid" type_code="9">3ede854e-c753-40eb-84cb-b48008f14fd4</item>
|
|
<item name="OutputId" index="1" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
<item name="OutputId" index="2" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
<item name="OutputId" index="3" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
<item name="OutputId" index="4" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
<item name="OutputId" index="5" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
<item name="OutputId" index="6" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
<item name="OutputId" index="7" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
</items>
|
|
<chunks count="17">
|
|
<chunk name="InputParam" index="0">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable PtA</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">c384ac3f-df4d-453d-a7c5-387e93a60b13</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">PtA</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">PtA</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">e1937b56-b1da-4c12-8bd8-e34ee81746ef</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2241</X>
|
|
<Y>2914</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2255</X>
|
|
<Y>2924</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">
|
|
<!--GH_Point only stores data which exists, test the existence of data fields prior to reading.-->
|
|
<items count="2">
|
|
<item name="Coordinate" type_name="gh_point3d" type_code="51">
|
|
<X>0</X>
|
|
<Y>0</Y>
|
|
<Z>0</Z>
|
|
</item>
|
|
<item name="TypeName" type_name="gh_string" type_code="10">Grasshopper.Kernel.Types.GH_Point</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="1">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable PtB</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">8bddec7a-5cee-4c2d-a042-aa892fd83b36</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">PtB</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">PtB</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">e1937b56-b1da-4c12-8bd8-e34ee81746ef</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2241</X>
|
|
<Y>2934</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2255</X>
|
|
<Y>2944</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="2">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable Pln</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">b3259d85-c916-4d9a-99bf-7e895fca6eec</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Pln</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Pln</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">3897522d-58e9-4d60-b38c-978ddacfedd8</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2241</X>
|
|
<Y>2954</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2255</X>
|
|
<Y>2964</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="TypeName" type_name="gh_string" type_code="10">Grasshopper.Kernel.Types.GH_Plane</item>
|
|
<item name="plane" type_name="gh_plane" type_code="72">
|
|
<Ox>0</Ox>
|
|
<Oy>0</Oy>
|
|
<Oz>0</Oz>
|
|
<Xx>1</Xx>
|
|
<Xy>0</Xy>
|
|
<Xz>0</Xz>
|
|
<Yx>0</Yx>
|
|
<Yy>1</Yy>
|
|
<Yz>0</Yz>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="3">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable Len</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">fb43f351-f380-4f29-8e4f-9fb2010411db</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Len</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Len</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2241</X>
|
|
<Y>2974</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2255</X>
|
|
<Y>2984</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="4">
|
|
<items count="11">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable Wid</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">93dbd769-ff0d-4cae-938b-75d6be10d33d</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Wid</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Wid</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Source" index="0" type_name="gh_guid" type_code="9">5efa96ce-0a9b-4178-9dd5-b7e889d7e5f9</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2241</X>
|
|
<Y>2994</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2255</X>
|
|
<Y>3004</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="5">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable Ht</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">9ce1f865-89f1-4a5b-a1c9-65f77f658109</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Ht</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Ht</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2241</X>
|
|
<Y>3014</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2255</X>
|
|
<Y>3024</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="6">
|
|
<items count="11">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable Ang</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">717409d3-a5de-4c70-987d-4ebacb963883</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Ang</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Ang</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Source" index="0" type_name="gh_guid" type_code="9">f67b69a9-68b4-4391-9b0b-36f79b377ace</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2241</X>
|
|
<Y>3034</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2255</X>
|
|
<Y>3044</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="7">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable E</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">e7404a32-6dcf-4dac-96ec-df9fcf003e19</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">E</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">E</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2241</X>
|
|
<Y>3054</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2255</X>
|
|
<Y>3064</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="8">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable I</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">3b61faa3-6a4f-4d43-96da-0fe1d52fda2b</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">I</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">I</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</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">
|
|
<X>2241</X>
|
|
<Y>3074</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2255</X>
|
|
<Y>3084</Y>
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|
</item>
|
|
</items>
|
|
</chunk>
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|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="0">
|
|
<items count="7">
|
|
<item name="Access" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Print, Reflect and Error streams</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">7de3b2dc-fe4e-43e1-a0a8-4bc81691250c</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">out</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">out</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">
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|
<chunk name="Attributes">
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|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2296</X>
|
|
<Y>2914</Y>
|
|
<W>25</W>
|
|
<H>22</H>
|
|
</item>
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|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2308.5</X>
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|
<Y>2925.25</Y>
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</item>
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|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="1">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter Pts</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">e309227c-8c84-4572-b1a0-62b15cb940a1</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Pts</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Pts</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>2296</X>
|
|
<Y>2936</Y>
|
|
<W>25</W>
|
|
<H>23</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2308.5</X>
|
|
<Y>2947.75</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="2">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter Crv</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">5a25ab62-6c28-4610-a63f-6f176662a312</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Crv</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Crv</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>2296</X>
|
|
<Y>2959</Y>
|
|
<W>25</W>
|
|
<H>22</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2308.5</X>
|
|
<Y>2970.25</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="3">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter L</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">9b38a7ff-5647-4812-906b-0380c8c21268</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">L</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">L</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>2296</X>
|
|
<Y>2981</Y>
|
|
<W>25</W>
|
|
<H>23</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2308.5</X>
|
|
<Y>2992.75</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="4">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter W</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">280df3eb-0705-4e69-a3c9-6590c1a91136</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">W</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">W</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>2296</X>
|
|
<Y>3004</Y>
|
|
<W>25</W>
|
|
<H>22</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2308.5</X>
|
|
<Y>3015.25</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="5">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter H</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">42e4bfc9-2a39-48b3-8134-0710963c7972</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">H</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">H</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>2296</X>
|
|
<Y>3026</Y>
|
|
<W>25</W>
|
|
<H>23</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2308.5</X>
|
|
<Y>3037.75</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="6">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter A</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">dea0908a-7936-4573-864b-36836a562088</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">A</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">A</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>2296</X>
|
|
<Y>3049</Y>
|
|
<W>25</W>
|
|
<H>22</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2308.5</X>
|
|
<Y>3060.25</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="7">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter F</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">720572bc-2bf4-4e70-ae3b-809c1be16c82</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">F</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">F</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>2296</X>
|
|
<Y>3071</Y>
|
|
<W>25</W>
|
|
<H>23</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2308.5</X>
|
|
<Y>3082.75</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="66">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">9c85271f-89fa-4e9f-9f4a-d75802120ccc</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Division</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="4">
|
|
<item name="Description" type_name="gh_string" type_code="10">Mathematical division</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">97ab47f4-b3a2-4564-9661-8a5c3ac8c83b</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Division</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Division</item>
|
|
</items>
|
|
<chunks count="4">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2093</X>
|
|
<Y>3067</Y>
|
|
<W>85</W>
|
|
<H>44</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2124</X>
|
|
<Y>3089</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="param_input" index="0">
|
|
<items count="7">
|
|
<item name="Description" type_name="gh_string" type_code="10">Item to divide (dividend)</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">2db69d8c-38ac-4c96-b360-bef99ba41020</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">A</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">A</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">5efa96ce-0a9b-4178-9dd5-b7e889d7e5f9</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>2095</X>
|
|
<Y>3069</Y>
|
|
<W>14</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2103.5</X>
|
|
<Y>3079</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">Item to divide with (divisor)</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">f262caa8-23c8-4c87-a3e1-aab77ecc8452</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">B</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">B</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>2095</X>
|
|
<Y>3089</Y>
|
|
<W>14</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2103.5</X>
|
|
<Y>3099</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="TypeName" type_name="gh_string" type_code="10">Grasshopper.Kernel.Types.GH_Integer</item>
|
|
<item name="number" type_name="gh_int32" type_code="3">4</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">The result of the Division</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">3d453240-0714-43b0-9db3-0e05947c2bae</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>2139</X>
|
|
<Y>3069</Y>
|
|
<W>37</W>
|
|
<H>40</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2157.5</X>
|
|
<Y>3089</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="67">
|
|
<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>
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<item name="UserText" type_name="gh_string" type_code="10">sqrt(2)/2</item>
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<ARGB>255;255;250;90</ARGB>
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<X>2474</X>
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</chunk>
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<chunk name="param_output" index="1">
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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">Curve sub-domain for each remaining part of the curve after trimming</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">fcd822f6-4443-4c23-82e0-23438c49863d</item>
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<item name="Name" type_name="gh_string" type_code="10">Sub-Domains</item>
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<item name="NickName" type_name="gh_string" type_code="10">Sub-Domains</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>2696</X>
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<X>2732</X>
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<chunk name="param_output" index="2">
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<items count="6">
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<item name="Description" type_name="gh_string" type_code="10">True if the points trimmed the curve, False if the points did not trim the curve</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">75f86ecb-5aac-483f-b6a8-54641851bde3</item>
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<item name="Name" type_name="gh_string" type_code="10">Intersected</item>
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<item name="NickName" type_name="gh_string" type_code="10">Intersected</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>2696</X>
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<X>2732</X>
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</chunk>
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<item name="GUID" type_name="gh_guid" type_code="9">fbac3e32-f100-4292-8692-77240a42fd1a</item>
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<item name="Name" type_name="gh_string" type_code="10">Point</item>
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<chunks count="1">
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<chunk name="Container">
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<items count="8">
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<item name="Description" type_name="gh_string" type_code="10">Contains a collection of three-dimensional points</item>
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<item name="Hidden" type_name="gh_bool" type_code="1">true</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">72ecb537-67d8-4cef-8f39-2f72e8125b26</item>
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<item name="Name" type_name="gh_string" type_code="10">Point</item>
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<item name="NickName" type_name="gh_string" type_code="10">Point</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">0cbeac5f-bb06-499c-a5bd-0cad96bfe260</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>2547</X>
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<X>2572.885</X>
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</item>
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</chunk>
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</chunk>
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<chunk name="Object" index="72">
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<items count="2">
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<item name="GUID" type_name="gh_guid" type_code="9">ccc7b468-e743-4049-891f-299432545898</item>
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<item name="Name" type_name="gh_string" type_code="10">Curve Middle</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="4">
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<item name="Description" type_name="gh_string" type_code="10">Get the point in the middle of a curve</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">70518cdb-7ee0-4314-8da7-706740513e8f</item>
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<item name="Name" type_name="gh_string" type_code="10">Curve Middle</item>
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<item name="NickName" type_name="gh_string" type_code="10">Curve Middle</item>
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</items>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>2627</X>
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<W>116</W>
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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>2677</X>
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</item>
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</items>
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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">Curve for mid-point.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">e232d78f-395c-4808-b966-1c0174b7afea</item>
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<item name="Name" type_name="gh_string" type_code="10">Curve</item>
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<item name="NickName" type_name="gh_string" type_code="10">Curve</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">d72b105e-c560-49a3-88af-d38a5fcc6218</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
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<chunks count="1">
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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>2629</X>
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<W>33</W>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>2647</X>
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</item>
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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">Point in the middle of the curve</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">d5b47c77-5cd0-4170-867f-ca163e32c1cb</item>
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<item name="Name" type_name="gh_string" type_code="10">Midpoint</item>
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<item name="NickName" type_name="gh_string" type_code="10">Midpoint</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>2692</X>
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<W>49</W>
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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>2716.5</X>
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<Y>3358</Y>
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<chunk name="Object" index="73">
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<item name="GUID" type_name="gh_guid" type_code="9">310f9597-267e-4471-a7d7-048725557528</item>
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<item name="Lib" type_name="gh_guid" type_code="9">08bdcae0-d034-48dd-a145-24a9fcf3d3ff</item>
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<item name="Name" type_name="gh_string" type_code="10">GraphMapper+</item>
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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">External Graph mapper
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You can Right click on the Heteromapper's icon and choose "AutoDomain" mode to define Output domain based on input domain interval; otherwise it'll be set to 0-1 in "Normalized" mode.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">20c6552b-b3bb-4a89-94ca-13c4e2e43db9</item>
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<item name="Name" type_name="gh_string" type_code="10">GraphMapper+</item>
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<item name="NickName" type_name="gh_string" type_code="10">GraphMapper+</item>
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</items>
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<chunk name="ValueTable">
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<items count="1">
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<item name="bobo" type_name="gh_bool" type_code="1">false</item>
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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>1801</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>1868</X>
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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">External curve as a graph</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">6c693ab3-3b94-405b-adbc-1512efb9d9a9</item>
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<item name="Name" type_name="gh_string" type_code="10">Curve</item>
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<item name="NickName" type_name="gh_string" type_code="10">Curve</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">888980c4-0dec-45f4-8006-fa5b932a754f</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>1803</X>
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<Y>2726</Y>
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<W>50</W>
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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>1829.5</X>
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<Y>2736</Y>
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<chunk name="param_input" index="1">
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<items count="7">
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<item name="Description" type_name="gh_string" type_code="10">Optional Rectangle boundary. If omitted the curve's would be landed</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">9b3712d5-0c29-4704-b116-357d73c66bd9</item>
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<item name="Name" type_name="gh_string" type_code="10">Boundary</item>
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<item name="NickName" type_name="gh_string" type_code="10">Boundary</item>
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<item name="Optional" type_name="gh_bool" type_code="1">true</item>
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<item name="Source" index="0" type_name="gh_guid" type_code="9">d222d866-05d2-41e8-9567-8cca0e0544d2</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>1803</X>
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<Y>2746</Y>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>1829.5</X>
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<Y>2756</Y>
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<items count="8">
|
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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">List of input numbers</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">0e38d596-b622-4667-b4b9-ae05975994a4</item>
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<item name="Name" type_name="gh_string" type_code="10">Numbers</item>
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<item name="NickName" type_name="gh_string" type_code="10">Numbers</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">bd4aaa1e-5c93-4d92-a13b-51513caaff31</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
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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>1803</X>
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<Y>2766</Y>
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<W>50</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>1829.5</X>
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<Y>2776</Y>
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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">9</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="number" type_name="gh_double" type_code="6">0.1</item>
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<chunk name="Item" index="1">
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<items count="1">
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<item name="number" type_name="gh_double" type_code="6">0.2</item>
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<chunk name="Item" index="2">
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<item name="number" type_name="gh_double" type_code="6">0.3</item>
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<chunk name="Item" index="3">
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<item name="number" type_name="gh_double" type_code="6">0.4</item>
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<chunk name="Item" index="4">
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<item name="number" type_name="gh_double" type_code="6">0.5</item>
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<chunk name="Item" index="5">
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<item name="number" type_name="gh_double" type_code="6">0.6</item>
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<chunk name="Item" index="6">
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<item name="number" type_name="gh_double" type_code="6">0.7</item>
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<chunk name="Item" index="7">
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<item name="number" type_name="gh_double" type_code="6">0.8</item>
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<item name="number" type_name="gh_double" type_code="6">0.9</item>
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<chunk name="param_input" index="3">
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<items count="6">
|
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<item name="Description" type_name="gh_string" type_code="10">(Optional) Input Domain
|
|
if omitted, it would be 0-1 in "Normalize" mode by default
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|
or be the interval of the input list in case of selecting "AutoDomain" mode</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">5bcbd057-e761-453c-8d9b-0c136cd52c8a</item>
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<item name="Name" type_name="gh_string" type_code="10">Input</item>
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<item name="NickName" type_name="gh_string" type_code="10">Input</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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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>1803</X>
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<Y>2786</Y>
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<W>50</W>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>1829.5</X>
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<Y>2796</Y>
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</chunk>
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<chunk name="param_input" index="4">
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<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">(Optional) Output Domain
|
|
if omitted, it would be 0-1 in "Normalize" mode by default
|
|
or be the interval of the input list in case of selecting "AutoDomain" mode</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">cb3c83b1-ea5d-4556-a2cd-947db2b85070</item>
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<item name="Name" type_name="gh_string" type_code="10">Output</item>
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<item name="NickName" type_name="gh_string" type_code="10">Output</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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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>1803</X>
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<Y>2806</Y>
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<W>50</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>1829.5</X>
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<Y>2816</Y>
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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">Output Numbers</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">aa99eb53-f847-4761-874c-b2b7a794afd6</item>
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<item name="Name" type_name="gh_string" type_code="10">Number</item>
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<item name="NickName" type_name="gh_string" type_code="10">Number</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>1883</X>
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<Y>2726</Y>
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<W>45</W>
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<H>100</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>1905.5</X>
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<Y>2776</Y>
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<chunk name="Object" index="74">
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<item name="GUID" type_name="gh_guid" type_code="9">575660b1-8c79-4b8d-9222-7ab4a6ddb359</item>
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<item name="Name" type_name="gh_string" type_code="10">Rectangle 2Pt</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">Create a rectangle from a base plane and two points</item>
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<item name="Hidden" type_name="gh_bool" type_code="1">true</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">854346d9-987e-4342-8d62-d29ccc1a4cd3</item>
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<item name="Name" type_name="gh_string" type_code="10">Rectangle 2Pt</item>
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<item name="NickName" type_name="gh_string" type_code="10">Rectangle 2Pt</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>1934</X>
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<Y>2464</Y>
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<W>129</W>
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<H>84</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>1992</X>
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<Y>2506</Y>
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<chunk name="param_input" index="0">
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<items count="6">
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<item name="Description" type_name="gh_string" type_code="10">Rectangle base plane</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">c5fedded-f2bb-44cc-a6db-545b7f0215de</item>
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<item name="Name" type_name="gh_string" type_code="10">Plane</item>
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|
<item name="NickName" type_name="gh_string" type_code="10">RANGE</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="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>1936</X>
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|
<Y>2466</Y>
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<W>41</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>1958</X>
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<Y>2476</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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<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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<chunks count="1">
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<chunk name="Item" index="0">
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<items count="1">
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|
<item name="plane" type_name="gh_plane" type_code="72">
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|
<Ox>0</Ox>
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|
<Oy>0</Oy>
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|
<Oz>0</Oz>
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|
<Xx>1</Xx>
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|
<Xy>0</Xy>
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|
<Xz>0</Xz>
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|
<Yx>0</Yx>
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|
<Yy>1</Yy>
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|
<Yz>0</Yz>
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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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</chunks>
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</chunk>
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</chunk>
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<chunk name="param_input" index="1">
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<items count="7">
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|
<item name="Description" type_name="gh_string" type_code="10">First corner point.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">2c06c2ff-6848-4d61-8acd-ae78937cb293</item>
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<item name="Name" type_name="gh_string" type_code="10">Point A</item>
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|
<item name="NickName" type_name="gh_string" type_code="10">Point A</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">52cef00d-db8e-4b87-8695-4352608b0e17</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">1</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>1936</X>
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|
<Y>2486</Y>
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<W>41</W>
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<H>20</H>
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|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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|
<X>1958</X>
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|
<Y>2496</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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<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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<chunks count="1">
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<chunk name="Item" index="0">
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<items count="1">
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<item name="Coordinate" type_name="gh_point3d" type_code="51">
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|
<X>0</X>
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<Y>0</Y>
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<Z>0</Z>
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</item>
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</items>
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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_input" index="2">
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|
<items count="7">
|
|
<item name="Description" type_name="gh_string" type_code="10">Second corner point.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">114f8d8e-db76-4e96-86ba-7a143c7ced74</item>
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<item name="Name" type_name="gh_string" type_code="10">Point B</item>
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|
<item name="NickName" type_name="gh_string" type_code="10">Point B</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">011b00fc-5add-41a0-9757-9d38ebdc9d11</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>1936</X>
|
|
<Y>2506</Y>
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|
<W>41</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>1958</X>
|
|
<Y>2516</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="PersistentData">
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<chunks count="1">
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<chunk name="Branch" index="0">
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|
<items count="2">
|
|
<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">
|
|
<chunk name="Item" index="0">
|
|
<!--GH_Point only stores data which exists, test the existence of data fields prior to reading.-->
|
|
<items count="1">
|
|
<item name="Coordinate" type_name="gh_point3d" type_code="51">
|
|
<X>1</X>
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|
<Y>1</Y>
|
|
<Z>0</Z>
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|
</item>
|
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</items>
|
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</chunk>
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</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_input" index="3">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Rectangle corner fillet radius</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">a236b107-43f0-4732-ab0f-101a758127ea</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Radius</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Radius</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>1936</X>
|
|
<Y>2526</Y>
|
|
<W>41</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>1958</X>
|
|
<Y>2536</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="number" type_name="gh_double" type_code="6">0</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
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</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="param_output" index="0">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Rectangle defined by P, A and B</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">d222d866-05d2-41e8-9567-8cca0e0544d2</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Rectangle</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Rectangle</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>
|
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</items>
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|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2007</X>
|
|
<Y>2466</Y>
|
|
<W>54</W>
|
|
<H>40</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>2034</X>
|
|
<Y>2486</Y>
|
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</item>
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|
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</chunk>
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<chunk name="param_output" index="1">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Length of rectangle curve</item>
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|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">830470ec-1feb-48e8-bbd9-ef386ee8c7cc</item>
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|
<item name="Name" type_name="gh_string" type_code="10">Length</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Length</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>2007</X>
|
|
<Y>2506</Y>
|
|
<W>54</W>
|
|
<H>40</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2034</X>
|
|
<Y>2526</Y>
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|
</item>
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|
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<chunk name="Object" index="75">
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<items count="2">
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|
<item name="GUID" type_name="gh_guid" type_code="9">b6236720-8d88-4289-93c3-ac4c99f9b97b</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Relay</item>
|
|
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|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="8">
|
|
<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">A wire relay object</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">bd4aaa1e-5c93-4d92-a13b-51513caaff31</item>
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<item name="Name" type_name="gh_string" type_code="10">Relay</item>
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<item name="NickName" type_name="gh_string" type_code="10">Relay</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">8d0d12bd-da23-49cc-b34c-50a33768057a</item>
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|
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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>2819</X>
|
|
<Y>2867</Y>
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|
<W>44</W>
|
|
<H>16</H>
|
|
</item>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>2841</X>
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|
<Y>2875</Y>
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<chunk name="Object" index="76">
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<items count="2">
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<item name="GUID" type_name="gh_guid" type_code="9">e9eb1dcf-92f6-4d4d-84ae-96222d60f56b</item>
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<item name="Name" type_name="gh_string" type_code="10">Move</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">Translate (move) an object along a vector.</item>
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<item name="Hidden" type_name="gh_bool" type_code="1">true</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">f678f333-3b39-4b6c-bd80-2b85058c90ac</item>
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<item name="Name" type_name="gh_string" type_code="10">Move</item>
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<item name="NickName" type_name="gh_string" type_code="10">Move</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>2868</X>
|
|
<Y>2923</Y>
|
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<W>141</W>
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<H>44</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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<item name="Description" type_name="gh_string" type_code="10">Joined curves and individual curves that could not be joined.</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">758b07e1-eba4-4854-bc42-821bfaf9cf50</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Curves</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Curves</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>
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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>3251</X>
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|
<Y>3067</Y>
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<W>41</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">
|
|
<X>3271.5</X>
|
|
<Y>3087</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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</chunks>
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</chunk>
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</chunks>
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</chunk>
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<chunk name="Object" index="87">
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<items count="2">
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<item name="GUID" type_name="gh_guid" type_code="9">079bd9bd-54a0-41d4-98af-db999015f63d</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">VB Script</item>
|
|
</items>
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<chunks count="1">
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<chunk name="Container">
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<items count="10">
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<item name="AdditionalSource" type_name="gh_string" type_code="10"> Private Function IsSet(ByVal param As String) As Boolean ' Check if an input parameter has data
|
|
Dim i As Integer = Component.Params.IndexOfInputParam(param)
|
|
If i > -1 Then
|
|
Return Component.Params.Input.ElementAt(i).DataType > 1 ' input parameter DataType of 1 means it's not receiving input (internal or external)
|
|
Else
|
|
Msg("error", "Input parameter '" & param & "' not found")
|
|
Return False
|
|
End If
|
|
End Function
|
|
|
|
Private Sub Msg(ByVal type As String, ByVal msg As String) ' Output an error, warning, or informational message
|
|
Select Case type
|
|
Case "error"
|
|
Component.AddRuntimeMessage(GH_RuntimeMessageLevel.Error, msg)
|
|
Print("Error: " & msg)
|
|
Case "warning"
|
|
Component.AddRuntimeMessage(GH_RuntimeMessageLevel.Warning, msg)
|
|
Print("Warning: " & msg)
|
|
Case "info"
|
|
Component.AddRuntimeMessage(GH_RuntimeMessageLevel.Remark, msg)
|
|
Print(msg)
|
|
End Select
|
|
End Sub
|
|
|
|
' Solve for the m parameter from length and width (reference {1} equation (34), except b = width and K(k) and E(k) should be K(m) and E(m))
|
|
Private Function SolveMFromLenWid(ByVal L As Double, ByVal w As Double) As Double
|
|
If w = 0 Then
|
|
Return Defined.M_ZERO_W ' for the boundry condition width = 0, bypass the function and return the known m value
|
|
End If
|
|
|
|
Dim n As Integer = 1 ' Iteration counter (quit if >MAXIT)
|
|
Dim lower As Double = 0 ' m must be within this range
|
|
Dim upper As Double = 1
|
|
Dim m As Double
|
|
Dim cwl As Double
|
|
|
|
Do While (upper - lower) > Defined.MAXERR AndAlso (n) < Defined.MAXIT ' Repeat until range narrow enough or MAXIT
|
|
m = (upper + lower) / 2
|
|
cwl = 2 * EllipticE(m) / EllipticK(m) - 1 ' calculate w/L with the test value of m
|
|
If cwl < w / L Then ' compares the calculated w/L with the actual w/L then narrows the range of possible m
|
|
upper = m
|
|
Else
|
|
lower = m
|
|
End If
|
|
n += 1
|
|
Loop
|
|
Return m
|
|
End Function
|
|
|
|
' Solve for the m parameter from length and height (reference {1} equation (33), except K(k) should be K(m) and k = sqrt(m))
|
|
' Note that it's actually possible to find 2 valid values for m (hence 2 width values) at certain height values
|
|
Private Function SolveMFromLenHt(ByVal L As Double, ByVal h As Double) As List(Of Double)
|
|
Dim n As Integer = 1 ' Iteration counter (quit if >MAXIT)
|
|
Dim lower As Double = 0 ' m must be within this range
|
|
Dim upper As Double = 1
|
|
Dim twoWidths As Boolean = h / L >= Defined.DOUBLE_W_HL_RATIO And h / L < Defined.MAX_HL_RATIO ' check to see if h/L is within the range where 2 solutions for the width are possible
|
|
Dim m As Double
|
|
Dim mult_m As New List(Of Double)
|
|
Dim chl As Double
|
|
|
|
If twoWidths Then
|
|
' find the first of two possible solutions for m with the following limits:
|
|
lower = Defined.M_DOUBLE_W ' see constants at bottom of script
|
|
upper = Defined.M_MAXHEIGHT ' see constants at bottom of script
|
|
Do While (upper - lower) > Defined.MAXERR AndAlso (n) < Defined.MAXIT ' Repeat until range narrow enough or MAXIT
|
|
m = (upper + lower) / 2
|
|
chl = Math.Sqrt(m) / EllipticK(m) ' calculate h/L with the test value of m
|
|
If chl > h / L Then ' compares the calculated h/L with the actual h/L then narrows the range of possible m
|
|
upper = m
|
|
Else
|
|
lower = m
|
|
End If
|
|
n += 1
|
|
Loop
|
|
mult_m.Add(m)
|
|
|
|
' then find the second of two possible solutions for m with the following limits:
|
|
lower = Defined.M_MAXHEIGHT ' see constants at bottom of script
|
|
upper = 1
|
|
Do While (upper - lower) > Defined.MAXERR AndAlso (n) < Defined.MAXIT ' Repeat until range narrow enough or MAXIT
|
|
m = (upper + lower) / 2
|
|
chl = Math.Sqrt(m) / EllipticK(m) ' calculate h/L with the test value of m
|
|
If chl < h / L Then ' compares the calculated h/L with the actual h/L then narrows the range of possible m
|
|
upper = m
|
|
Else
|
|
lower = m
|
|
End If
|
|
n += 1
|
|
Loop
|
|
|
|
If m <= Defined.M_MAX Then ' return this m parameter only if it falls within the maximum useful value (above which the curve breaks down)
|
|
mult_m.Add(m)
|
|
End If
|
|
|
|
Else
|
|
' find the one possible solution for the m parameter
|
|
upper = Defined.M_DOUBLE_W ' limit the upper end of the search to the maximum value of m for which only one solution exists
|
|
Do While (upper - lower) > Defined.MAXERR AndAlso (n) < Defined.MAXIT ' Repeat until range narrow enough or MAXIT
|
|
m = (upper + lower) / 2
|
|
chl = Math.Sqrt(m) / EllipticK(m) ' calculate h/L with the test value of m
|
|
If chl > h / L Then ' compares the calculated h/L with the actual h/L then narrows the range of possible m
|
|
upper = m
|
|
Else
|
|
lower = m
|
|
End If
|
|
n += 1
|
|
Loop
|
|
mult_m.Add(m)
|
|
End If
|
|
|
|
Return mult_m
|
|
End Function
|
|
|
|
' Solve for the m parameter from width and height (derived from reference {1} equations (33) and (34) with same notes as above)
|
|
Private Function SolveMFromWidHt(ByVal w As Double, ByVal h As Double) As Double
|
|
Dim n As Integer = 1 ' Iteration counter (quit if >MAXIT)
|
|
Dim lower As Double = 0 ' m must be within this range
|
|
Dim upper As Double = 1
|
|
Dim m As Double
|
|
Dim cwh As Double
|
|
|
|
Do While (upper - lower) > Defined.MAXERR AndAlso (n) < Defined.MAXIT ' Repeat until range narrow enough or MAXIT
|
|
m = (upper + lower) / 2
|
|
cwh = (2 * EllipticE(m) - EllipticK(m)) / Math.Sqrt(m) ' calculate w/h with the test value of m
|
|
If cwh < w / h Then ' compares the calculated w/h with the actual w/h then narrows the range of possible m
|
|
upper = m
|
|
Else
|
|
lower = m
|
|
End If
|
|
n += 1
|
|
Loop
|
|
|
|
Return m
|
|
End Function
|
|
|
|
' Calculate length based on height and an m parameter, derived from reference {1} equation (33), except K(k) should be K(m) and k = sqrt(m)
|
|
Private Function Cal_L(ByVal h As Double, ByVal m As Double) As Double
|
|
Return h * EllipticK(m) / Math.Sqrt(m)
|
|
End Function
|
|
|
|
' Calculate width based on length and an m parameter, derived from reference {1} equation (34), except b = width and K(k) and E(k) should be K(m) and E(m)
|
|
Private Function Cal_W(ByVal L As Double, ByVal m As Double) As Double
|
|
Return L * (2 * EllipticE(m) / EllipticK(m) - 1)
|
|
End Function
|
|
|
|
' Calculate height based on length and an m parameter, from reference {1} equation (33), except K(k) should be K(m) and k = sqrt(m)
|
|
Private Function Cal_H(ByVal L As Double, ByVal m As Double) As Double
|
|
Return L * Math.Sqrt(m) / EllipticK(m)
|
|
End Function
|
|
|
|
' Calculate the unique m parameter based on a start tangent angle, from reference {2}, just above equation (9a), that states k = Sin(angle / 2 + Pi / 4),
|
|
' but as m = k^2 and due to this script's need for an angle rotated 90° versus the one in reference {1}, the following formula is the result
|
|
' New note: verified by reference {4}, pg. 78 at the bottom
|
|
Private Function Cal_M(ByVal a As Double) As Double
|
|
Return (1 - Math.Cos(a)) / 2 ' equal to Sin^2(a/2) too
|
|
End Function
|
|
|
|
' Calculate start tangent angle based on an m parameter, derived from above formula
|
|
Private Function Cal_A(ByVal m As Double) As Double
|
|
Return Math.Acos(1 - 2 * m)
|
|
End Function
|
|
|
|
' This is the heart of this script, taking the found (or specified) length, width, and angle values along with the found m parameter to create
|
|
' a list of points that approximate the shape or form of the elastica. It works by finding the x and y coordinates (which are reversed versus
|
|
' the original equations (12a) and (12b) from reference {2} due to the 90° difference in orientation) based on the tangent angle along the curve.
|
|
' See reference {2} for more details on how they derived it. Note that to simplify things, the algorithm only calculates the points for half of the
|
|
' curve, then mirrors those points along the y-axis.
|
|
Private Function FindBendForm(ByVal L As Double, ByVal w As Double, ByVal m As Double, ByVal ang As Double, ByVal refPln As Plane) As List(Of Point3d)
|
|
L = L / 2 ' because the below algorithm is based on the formulas in reference {2} for only half of the curve
|
|
w = w / 2 ' same
|
|
|
|
If ang = 0 Then ' if angle (and height) = 0, then simply return the start and end points of the straight line
|
|
Dim out As New List(Of Point3d)
|
|
out.Add(refPln.PointAt(w, 0, 0))
|
|
out.Add(refPln.PointAt(-w, 0, 0))
|
|
Return out
|
|
End If
|
|
|
|
Dim x As Double
|
|
Dim y As Double
|
|
Dim halfCurvePts As New List(Of Point3d)
|
|
Dim fullCurvePts As New List(Of Point3d)
|
|
Dim translatedPts As New List(Of Point3d)
|
|
|
|
ang -= Math.PI / 2 ' a hack to allow this algorithm to work, since the original curve in paper {2} was rotated 90°
|
|
Dim angB As Double = ang + (-Math.PI / 2 - ang) / Defined.CURVEDIVS ' angB is the 'lowercase theta' which should be in formula {2}(12b) as the interval
|
|
' start [a typo...see equation(3)]. It's necessary to start angB at ang + [interval] instead of just ang due to integration failing at angB = ang
|
|
halfCurvePts.Add(New Point3d(w, 0, 0)) ' start with this known initial point, as integration will fail when angB = ang
|
|
|
|
' each point {x, y} is calculated from the tangent angle, angB, that occurs at each point (which is why this iterates from ~ang to -pi/2, the known end condition)
|
|
Do While Math.Round(angB, Defined.ROUNDTO) >= Math.Round(-Math.PI / 2, Defined.ROUNDTO)
|
|
y = (Math.Sqrt(2) * Math.Sqrt(Math.Sin(ang) - Math.Sin(angB)) * (w + L)) / (2 * EllipticE(m)) ' note that x and y are swapped vs. (12a) and (12b)
|
|
x = (L / (Math.Sqrt(2) * EllipticK(m))) * Simpson(angB, -Math.PI / 2, 500, ang) ' calculate the Simpson approximation of the integral (function f below)
|
|
' over the interval angB ('lowercase theta') to -pi/2. side note: is 500 too few iterations for the Simson algorithm?
|
|
|
|
If Math.Round(x, Defined.ROUNDTO) = 0 Then x = 0
|
|
halfCurvePts.Add(New Point3d(x, y, 0))
|
|
|
|
angB += (-Math.PI / 2 - ang) / Defined.CURVEDIVS ' onto the next tangent angle
|
|
Loop
|
|
|
|
' After finding the x and y values for half of the curve, add the {-x, y} values for the rest of the curve
|
|
For Each point As Point3d In halfCurvePts
|
|
If Math.Round(point.X, Defined.ROUNDTO) = 0 Then
|
|
If Math.Round(point.Y, Defined.ROUNDTO) = 0 Then
|
|
fullCurvePts.Add(New Point3d(0, 0, 0)) ' special case when width = 0: when x = 0, only duplicate the point when y = 0 too
|
|
End If
|
|
Else
|
|
fullCurvePts.Add(New Point3d(-point.X, point.Y, 0))
|
|
End If
|
|
Next
|
|
halfCurvePts.Reverse
|
|
fullCurvePts.AddRange(halfCurvePts)
|
|
|
|
For Each p As Point3d In fullCurvePts
|
|
translatedPts.Add(refPln.PointAt(p.X, p.Y, p.Z)) ' translate the points from the reference plane to the world plane
|
|
Next
|
|
|
|
Return translatedPts
|
|
End Function
|
|
|
|
' Interpolates the points from FindBendForm to create the Elastica curve. Uses start & end tangents for greater accuracy.
|
|
Private Function MakeCurve(ByVal pts As List(Of Point3d), ByVal ang As Double, ByVal refPln As Plane) As Curve
|
|
If ang <> 0 Then
|
|
Dim ts, te As New Vector3d(refPln.XAxis)
|
|
ts.Rotate(ang, refPln.ZAxis)
|
|
te.Rotate(-ang, refPln.ZAxis)
|
|
Return Curve.CreateInterpolatedCurve(pts, 3, CurveKnotStyle.Chord, ts, te) ' 3rd degree curve with 'Chord' Knot Style
|
|
Else
|
|
Return Curve.CreateInterpolatedCurve(pts, 3) ' if angle (and height) = 0, then simply interpolate the straight line (no start/end tangents)
|
|
End If
|
|
End Function
|
|
|
|
' Implements the Simpson approximation for an integral of function f below
|
|
Public Function Simpson(a As Double, b As Double, n As Integer, theta As Double) As Double 'n should be an even number
|
|
Dim j As Integer, s1 As Double, s2 As Double, h As Double
|
|
h = (b - a) / n
|
|
s1 = 0
|
|
s2 = 0
|
|
For j = 1 To n - 1 Step 2
|
|
s1 = s1 + fn(a + j * h, theta)
|
|
Next j
|
|
For j = 2 To n - 2 Step 2
|
|
s2 = s2 + fn(a + j * h, theta)
|
|
Next j
|
|
Simpson = h / 3 * (fn(a, theta) + 4 * s1 + 2 * s2 + fn(b, theta))
|
|
End Function
|
|
|
|
' Specific calculation for the above integration
|
|
Public Function fn(x As Double, theta As Double) As Double
|
|
fn = Math.Sin(x) / (Math.Sqrt(Math.Sin(theta) - Math.Sin(x))) ' from reference {2} formula (12b)
|
|
End Function
|
|
|
|
|
|
' Return the Complete Elliptic integral of the 1st kind
|
|
' Abramowitz and Stegun p.591, formula 17.3.11
|
|
' Code from http://www.codeproject.com/Articles/566614/Elliptic-integrals
|
|
Public Function EllipticK(ByVal m As Double) As Double
|
|
Dim sum, term, above, below As Double
|
|
sum = 1
|
|
term = 1
|
|
above = 1
|
|
below = 2
|
|
|
|
For i As Integer = 1 To 100
|
|
term *= above / below
|
|
sum += Math.Pow(m, i) * Math.Pow(term, 2)
|
|
above += 2
|
|
below += 2
|
|
Next
|
|
sum *= 0.5 * Math.PI
|
|
Return sum
|
|
End Function
|
|
|
|
|
|
' Return the Complete Elliptic integral of the 2nd kind
|
|
' Abramowitz and Stegun p.591, formula 17.3.12
|
|
' Code from http://www.codeproject.com/Articles/566614/Elliptic-integrals
|
|
Public Function EllipticE(ByVal m As Double) As Double
|
|
Dim sum, term, above, below As Double
|
|
sum = 1
|
|
term = 1
|
|
above = 1
|
|
below = 2
|
|
|
|
For i As Integer = 1 To 100
|
|
term *= above / below
|
|
sum -= Math.Pow(m, i) * Math.Pow(term, 2) / above
|
|
above += 2
|
|
below += 2
|
|
Next
|
|
sum *= 0.5 * Math.PI
|
|
Return sum
|
|
End Function
|
|
|
|
Friend Partial NotInheritable Class Defined
|
|
Private Sub New()
|
|
End Sub
|
|
|
|
' Note: most of these values for m and h/L ratio were found with Wolfram Alpha and either specific intercepts (x=0) or local minima/maxima. They should be constant.
|
|
Public Const M_SKETCHY As Double = 0.95 ' value of the m parameter where the curvature near the ends of the curve gets wonky
|
|
Public Const M_MAX As Double = 0.993 ' maximum useful value of the m parameter, above which this algorithm for the form of the curve breaks down
|
|
Public Const M_ZERO_W As Double = 0.826114765984970336 ' value of the m parameter when width = 0
|
|
Public Const M_MAXHEIGHT As Double = 0.701327460663101223 ' value of the m parameter at maximum possible height of the bent rod/wire
|
|
Public Const M_DOUBLE_W As Double = 0.180254422335013983 ' minimum value of the m parameter when two width values are possible for a given height and length
|
|
Public Const DOUBLE_W_HL_RATIO As Double = 0.257342117984635757 ' value of the height/length ratio above which there are two possible width values
|
|
Public Const MAX_HL_RATIO As Double = 0.403140189705650243 ' maximum possible value of the height/length ratio
|
|
|
|
Public Const MAXERR As Double = 0.0000000001 ' error tolerance
|
|
Public Const MAXIT As Integer = 100 ' maximum number of iterations
|
|
Public Const ROUNDTO As Integer = 10 ' number of decimal places to round off to
|
|
Public Const CURVEDIVS As Integer = 50 ' number of sample points for building the curve (or half-curve as it were)
|
|
End Class</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">A VB.NET scriptable component</item>
|
|
<item name="EditorPosition" type_name="gh_drawing_point" type_code="30">
|
|
<X>98</X>
|
|
<Y>86</Y>
|
|
</item>
|
|
<item name="Hidden" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">0ee0d29e-783d-4fcb-832e-e2bc26ea1e1d</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">VB Script</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">VB Script</item>
|
|
<item name="OutParameter" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ReferenceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ScriptSource" type_name="gh_string" type_code="10"> ' -----------------------------------------------------------------
|
|
' Elastic Bending Script by Will McElwain
|
|
' Created February 2014
|
|
'
|
|
' DESCRIPTION:
|
|
' This beast creates the so-called 'elastica curve', the shape a long, thin rod or wire makes when it is bent elastically (i.e. not permanently). In this case, force
|
|
' is assumed to only be applied horizontally (which would be in line with the rod at rest) and both ends are assumed to be pinned or hinged meaning they are free
|
|
' to rotate (as opposed to clamped, when the end tangent angle is fixed, usually horizontally). An interesting finding is that it doesn't matter what the material or
|
|
' cross-sectional area is, as long as they're uniform along the entire length. Everything makes the same shape when bent as long as it doesn't cross the threshold
|
|
' from elastic to plastic (permanent) deformation (I don't bother to find that limit here, but can be found if the yield stress for a material is known).
|
|
'
|
|
' Key to the formulas used in this script are elliptic integrals, specifically K(m), the complete elliptic integral of the first kind, and E(m), the complete elliptic
|
|
' integral of the second kind. There was a lot of confusion over the 'm' and 'k' parameters for these functions, as some people use them interchangeably, but they are
|
|
' not the same. m = k^2 (thus k = Sqrt(m)). I try to use the 'm' parameter exclusively to avoid this confusion. Note that there is a unique 'm' parameter for every
|
|
' configuration/shape of the elastica curve.
|
|
'
|
|
' This script tries to find that unique 'm' parameter based on the inputs. The algorithm starts with a test version of m, evaluates an expression, say 2*E(m)/K(m)-1,
|
|
' then compares the result to what it should be (in this case, a known width/length ratio). Iterate until the correct m is found. Once we have m, we can then calculate
|
|
' all of the other unknowns, then find points that lie on that curve, then interpolate those points for the actual curve. You can also use Wolfram|Alpha as I did to
|
|
' find the m parameter based on the equations in this script (example here: http://tiny.cc/t4tpbx for when say width=45.2 and length=67.1).
|
|
'
|
|
' Other notes:
|
|
' * This script works with negative values for width, which will creat a self-intersecting curve (as it should). The curvature of the elastica starts to break down around
|
|
' m=0.95 (~154°), but this script will continue to work until M_MAX, m=0.993 (~169°). If you wish to ignore self-intersecting curves, set ignoreSelfIntersecting to True
|
|
' * When the only known values are length and height, it is actually possible for certain ratios of height to length to have two valid m values (thus 2 possible widths
|
|
' and angles). This script will return them both.
|
|
' * Only the first two valid parameters (of the required ones) will be used, meaning if all four are connected (length, width or a PtB, height, and angle), this script will
|
|
' only use length and width (or a PtB).
|
|
' * Depending on the magnitude of your inputs (say if they're really small, like if length < 10), you might have to increase the constant ROUNDTO at the bottom
|
|
'
|
|
' REFERENCES:
|
|
' {1} "The elastic rod" by M.E. Pacheco Q. & E. Pina, http://www.scielo.org.mx/pdf/rmfe/v53n2/v53n2a8.pdf
|
|
' {2} "An experiment in nonlinear beam theory" by A. Valiente, http://www.deepdyve.com/lp/doc/I3lwnxdfGz , also here: http://tiny.cc/Valiente_AEiNBT
|
|
' {3} "Snap buckling, writhing and Loop formation In twisted rods" by V.G.A. GOSS, http://myweb.lsbu.ac.uk/~gossga/thesisFinal.pdf
|
|
' {4} "Theory of Elastic Stability" by Stephen Timoshenko, http://www.scribd.com/doc/50402462/Timoshenko-Theory-of-Elastic-Stability (start on p. 76)
|
|
'
|
|
' INPUT:
|
|
' PtA - First anchor point (required)
|
|
' PtB - Second anchor point (optional, though 2 out of the 4--length, width, height, angle--need to be specified)
|
|
' [note that PtB can be the same as PtA (meaning width would be zero)]
|
|
' [also note that if a different width is additionally specified that's not equal to the distance between PtA and PtB, then the end point will not equal PtB anymore]
|
|
' Pln - Plane of the bent rod/wire, which bends up in the +y direction. The line between PtA and PtB (if specified) must be parallel to the x-axis of this plane
|
|
'
|
|
' ** 2 of the following 4 need to be specified **
|
|
' Len - Length of the rod/wire, which needs to be > 0
|
|
' Wid - Width between the endpoints of the curve [note: if PtB is specified in addition, and distance between PtA and PtB <> width, the end point will be relocated
|
|
' Ht - Height of the bent rod/wire (when negative, curve will bend downward, relative to the input plane, instead)
|
|
' Ang - Inner departure angle or tangent angle (in radians) at the ends of the bent rod/wire. Set up so as width approaches length (thus height approaches zero), angle approaches zero
|
|
'
|
|
' * Following variables only needed for optional calculating of bending force, not for shape of curve.
|
|
' E - Young's modulus (modulus of elasticity) in GPa (=N/m^2) (material-specific. for example, 7075 aluminum is roughly 71.7 GPa)
|
|
' I - Second moment of area (or area moment of inertia) in m^4 (cross-section-specific. for example, a hollow rod
|
|
' would have I = pi * (outer_diameter^4 - inner_diameter^4) / 32
|
|
' Note: E*I is also known as flexural rigidity or bending stiffness
|
|
'
|
|
' OUTPUT:
|
|
' out - only for debugging messages
|
|
' Pts - the list of points that approximate the shape of the elastica
|
|
' Crv - the 3rd-degree curve interpolated from those points (with accurate start & end tangents)
|
|
' L - the length of the rod/wire
|
|
' W - the distance (width) between the endpoints of the rod/wire
|
|
' H - the height of the bent rod/wire
|
|
' A - the tangent angle at the (start) end of the rod/wire
|
|
' F - the force needed to hold the rod/wire in a specific shape (based on the material properties & cross-section) **be sure your units for 'I' match your units for the
|
|
' rest of your inputs (length, width, etc.). Also note that the critical buckling load (force) that makes the rod/wire start to bend can be found at height=0
|
|
'
|
|
' THANKS TO:
|
|
' Mårten Nettelbladt (thegeometryofbending.blogspot.com)
|
|
' Daniel Piker (Kangaroo plugin)
|
|
' David Rutten (Grasshopper guru)
|
|
' Euler & Bernoulli (the O.G.'s)
|
|
'
|
|
' -----------------------------------------------------------------
|
|
|
|
Dim ignoreSelfIntersecting As Boolean = False ' set to True if you don't want to output curves where width < 0, which creates a self-intersecting curve
|
|
|
|
Dim inCt As Integer = 0 ' count the number of required parameters that are receiving data
|
|
Dim length As Double
|
|
Dim width As System.Object = Nothing ' need to set as Nothing so we can check if it has been assigned a value later
|
|
Dim height As Double
|
|
Dim angle As Double
|
|
Dim m As Double
|
|
Dim multiple_m As New List(Of Double)
|
|
Dim AtoB As Line
|
|
Dim flip_H As Boolean = False ' if height is negative, this flag will be set
|
|
Dim flip_A As Boolean = False ' if angle is negative, this flag will be set
|
|
|
|
If Not IsSet("Pln") Then
|
|
Msg("error", "Base plane is not set")
|
|
Return
|
|
End If
|
|
|
|
If Not IsSet("PtA") Then
|
|
Msg("error", "Point A is not set")
|
|
Return
|
|
End If
|
|
|
|
If Math.Round(Pln.DistanceTo(PtA), Defined.ROUNDTO) <> 0 Then
|
|
Msg("error", "Point A is not on the base plane")
|
|
Return
|
|
End If
|
|
|
|
Dim refPlane As Plane = Pln ' create a reference plane = input plane and set the origin of it to PtA in case PtA isn't the origin already
|
|
refPlane.Origin = PtA
|
|
|
|
If IsSet("PtB") Then
|
|
If Math.Round(Pln.DistanceTo(PtB), Defined.ROUNDTO) <> 0 Then
|
|
Msg("error", "Point B is not on the base plane")
|
|
Return
|
|
End If
|
|
|
|
AtoB = New Line(PtA, PtB)
|
|
If AtoB.Length <> 0 And Not AtoB.Direction.IsPerpendicularTo(Pln.YAxis) Then
|
|
Msg("error", "The line between PtA and PtB is not perpendicular to the Y-axis of the specified plane")
|
|
Return
|
|
End If
|
|
|
|
inCt += 1
|
|
If IsSet("Wid") Then Msg("info", "Wid will override the distance between PtA and PtB. If you do not want this to happen, disconnect PtB or Wid.")
|
|
|
|
width = PtA.DistanceTo(PtB) ' get the width (distance) between PtA and PtB
|
|
|
|
Dim refPtB As Point3d
|
|
refPlane.RemapToPlaneSpace(PtB, refPtB)
|
|
If refPtB.X < 0 Then width = -width ' check if PtB is to the left of PtA...if so, width is negative
|
|
End If
|
|
|
|
If IsSet("Len") Then inCt += 1
|
|
If IsSet("Wid") Then inCt += 1
|
|
If IsSet("Ht") Then inCt += 1
|
|
If IsSet("Ang") Then inCt += 1
|
|
If inCt > 2 Then Msg("info", "More parameters set than are required (out of length, width, height, angle). Only using the first two valid ones.")
|
|
|
|
' check for connected/specified inputs. note: only the first two that it comes across will be used
|
|
If IsSet("Len") Then ' if length is specified then...
|
|
If Len <= 0 Then
|
|
Msg("error", "Length cannot be negative or zero")
|
|
Return
|
|
End If
|
|
If IsSet("Wid") Then ' find height & angle based on length and specified width
|
|
If Wid > Len Then
|
|
Msg("error", "Width is greater than length")
|
|
Return
|
|
End If
|
|
If Wid = Len Then ' skip the solver and set the known values
|
|
height = 0
|
|
m = 0
|
|
angle = 0
|
|
width = Wid
|
|
Else
|
|
m = SolveMFromLenWid(Len, Wid)
|
|
height = Cal_H(Len, m) ' L * Sqrt(m) / K(m)
|
|
angle = Cal_A(m) ' Acos(1 - 2 * m)
|
|
width = Wid
|
|
End If
|
|
|
|
Else If width IsNot Nothing Then ' find height & angle based on length and calculated width (distance between PtA and PtB)
|
|
If width > Len Then
|
|
Msg("error", "Width is greater than length")
|
|
Return
|
|
End If
|
|
If width = Len Then ' skip the solver and set the known values
|
|
height = 0
|
|
m = 0
|
|
angle = 0
|
|
Else
|
|
m = SolveMFromLenWid(Len, width)
|
|
height = Cal_H(Len, m) ' L * Sqrt(m) / K(m)
|
|
angle = Cal_A(m) ' Acos(1 - 2 * m)
|
|
End If
|
|
|
|
Else If IsSet("Ht") Then ' find width & angle based on length and height ** possible to return 2 results **
|
|
If Math.Abs(Ht / Len) > Defined.MAX_HL_RATIO Then
|
|
Msg("error", "Height not possible with given length")
|
|
Return
|
|
End If
|
|
If Ht < 0 Then
|
|
Ht = -Ht ' if height is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = True
|
|
flip_H = True
|
|
End If
|
|
If Ht = 0 Then ' skip the solver and set the known values
|
|
width = Len
|
|
angle = 0
|
|
Else
|
|
multiple_m = SolveMFromLenHt(Len, Ht) ' note that it's possible for two values of m to be found if height is close to max height
|
|
If multiple_m.Count = 1 Then ' if there's only one m value returned, calculate the width & angle here. we'll deal with multiple m values later
|
|
m = multiple_m.Item(0)
|
|
width = Cal_W(Len, m) ' L * (2 * E(m) / K(m) - 1)
|
|
angle = Cal_A(m) ' Acos(1 - 2 * m)
|
|
End If
|
|
End If
|
|
height = Ht
|
|
|
|
Else If IsSet("Ang") Then ' find width & height based on length and angle
|
|
If Ang < 0 Then
|
|
Ang = -Ang ' if angle is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = True
|
|
flip_H = True
|
|
End If
|
|
m = Cal_M(Ang) ' (1 - Cos(a)) / 2
|
|
If Ang = 0 Then ' skip the solver and set the known values
|
|
width = Len
|
|
height = 0
|
|
Else
|
|
width = Cal_W(Len, m) ' L * (2 * E(m) / K(m) - 1)
|
|
height = Cal_H(Len, m) ' L * Sqrt(m) / K(m)
|
|
End If
|
|
angle = Ang
|
|
|
|
Else
|
|
Msg("error", "Need to specify one more parameter in addition to length")
|
|
Return
|
|
End If
|
|
length = Len
|
|
|
|
Else If IsSet("Wid") Then ' if width is specified then...
|
|
If IsSet("Ht") Then ' find length & angle based on specified width and height
|
|
If Ht < 0 Then
|
|
Ht = -Ht ' if height is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = True
|
|
flip_H = True
|
|
End If
|
|
If Ht = 0 Then ' skip the solver and set the known values
|
|
length = Wid
|
|
angle = 0
|
|
Else
|
|
m = SolveMFromWidHt(Wid, Ht)
|
|
length = Cal_L(Ht, m) ' h * K(m) / Sqrt(m)
|
|
angle = Cal_A(m) ' Acos(1 - 2 * m)
|
|
End If
|
|
height = Ht
|
|
|
|
Else If IsSet("Ang") Then ' find length & height based on specified width and angle
|
|
If Wid = 0 Then
|
|
Msg("error", "Curve not possible with width = 0 and an angle as inputs")
|
|
Return
|
|
End If
|
|
If Ang < 0 Then
|
|
Ang = -Ang ' if angle is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = True
|
|
flip_H = True
|
|
End If
|
|
m = Cal_M(Ang) ' (1 - Cos(a)) / 2
|
|
If Ang = 0 Then ' skip the solver and set the known values
|
|
length = Wid
|
|
height = 0
|
|
Else
|
|
length = Wid / (2 * EllipticE(m) / EllipticK(m) - 1)
|
|
If length < 0 Then
|
|
Msg("error", "Curve not possible at specified width and angle (calculated length is negative)")
|
|
Return
|
|
End If
|
|
height = Cal_H(length, m) ' L * Sqrt(m) / K(m)
|
|
End If
|
|
angle = Ang
|
|
|
|
Else
|
|
Msg("error", "Need to specify one more parameter in addition to width (Wid)")
|
|
Return
|
|
End If
|
|
width = Wid
|
|
|
|
Else If width IsNot Nothing Then ' if width is determined by PtA and PtB then...
|
|
If IsSet("Ht") Then ' find length & angle based on calculated width and height
|
|
If Ht < 0 Then
|
|
Ht = -Ht ' if height is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = True
|
|
flip_H = True
|
|
End If
|
|
If Ht = 0 Then ' skip the solver and set the known values
|
|
length = width
|
|
angle = 0
|
|
Else
|
|
m = SolveMFromWidHt(width, Ht)
|
|
length = Cal_L(Ht, m) ' h * K(m) / Sqrt(m)
|
|
angle = Cal_A(m) ' Acos(1 - 2 * m)
|
|
End If
|
|
height = Ht
|
|
|
|
Else If IsSet("Ang") Then ' find length & height based on calculated width and angle
|
|
If width = 0 Then
|
|
Msg("error", "Curve not possible with width = 0 and an angle as inputs")
|
|
Return
|
|
End If
|
|
If Ang < 0 Then
|
|
Ang = -Ang ' if angle is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = True
|
|
flip_H = True
|
|
End If
|
|
m = Cal_M(Ang) ' (1 - Cos(a)) / 2
|
|
If Ang = 0 Then ' skip the solver and set the known values
|
|
length = width
|
|
height = 0
|
|
Else
|
|
length = width / (2 * EllipticE(m) / EllipticK(m) - 1)
|
|
If length < 0 Then
|
|
Msg("error", "Curve not possible at specified width and angle (calculated length is negative)")
|
|
Return
|
|
End If
|
|
height = Cal_H(length, m) ' L * Sqrt(m) / K(m)
|
|
End If
|
|
angle = Ang
|
|
|
|
Else
|
|
Msg("error", "Need to specify one more parameter in addition to PtA and PtB")
|
|
Return
|
|
End If
|
|
|
|
Else If IsSet("Ht") Then ' if height is specified then...
|
|
If IsSet("Ang") Then ' find length & width based on height and angle
|
|
If Ht < 0 Then
|
|
Ht = -Ht ' if height is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_H = True
|
|
flip_A = True
|
|
End If
|
|
If Ht = 0 Then
|
|
Msg("error", "Height can't = 0 if only height and angle are specified")
|
|
Return
|
|
Else
|
|
If Ang < 0 Then
|
|
Ang = -Ang ' if angle is negative, set it to positive (for the calculations) but flip the reference plane about its x-axis
|
|
refPlane.Transform(Transform.Mirror(New Plane(refPlane.Origin, refPlane.XAxis, refPlane.ZAxis)))
|
|
flip_A = Not flip_A
|
|
flip_H = Not flip_H
|
|
End If
|
|
m = Cal_M(Ang) ' (1 - Cos(a)) / 2
|
|
If Ang = 0 Then
|
|
Msg("error", "Angle can't = 0 if only height and angle are specified")
|
|
Return
|
|
Else
|
|
length = Cal_L(Ht, m) ' h * K(m) / Sqrt(m)
|
|
width = Cal_W(length, m) ' L * (2 * E(m) / K(m) - 1)
|
|
End If
|
|
angle = Ang
|
|
End If
|
|
height = Ht
|
|
|
|
Else
|
|
Msg("error", "Need to specify one more parameter in addition to height")
|
|
Return
|
|
End If
|
|
|
|
Else If IsSet("Ang") Then
|
|
Msg("error", "Need to specify one more parameter in addition to angle")
|
|
Return
|
|
Else
|
|
Msg("error", "Need to specify two of the four parameters: length, width (or PtB), height, and angle")
|
|
Return
|
|
End If
|
|
|
|
If m > Defined.M_MAX Then
|
|
Msg("error", "Form of curve not solvable with current algorithm and given inputs")
|
|
Return
|
|
End If
|
|
|
|
refPlane.Origin = refPlane.PointAt(width / 2, 0, 0) ' adjust the origin of the reference plane so that the curve is centered about the y-axis (start of the curve is at x = -width/2)
|
|
|
|
If multiple_m.Count > 1 Then ' if there is more than one m value returned, calculate the width, angle, and curve for each
|
|
Dim multi_pts As New DataTree(Of Point3d)
|
|
Dim multi_crv As New List(Of Curve)
|
|
Dim tmp_pts As New List(Of Point3d)
|
|
Dim multi_W, multi_A, multi_F As New List(Of Double)
|
|
Dim j As Integer = 0 ' used for creating a new branch (GH_Path) for storing pts which is itself a list of points
|
|
|
|
For Each m_val As Double In multiple_m
|
|
width = Cal_W(length, m_val) 'length * (2 * EllipticE(m_val) / EllipticK(m_val) - 1)
|
|
|
|
If width < 0 And ignoreSelfIntersecting Then
|
|
Msg("warning", "One curve is self-intersecting. To enable these, set ignoreSelfIntersecting to False")
|
|
Continue For
|
|
End If
|
|
|
|
If m_val >= Defined.M_SKETCHY Then Msg("info", "Accuracy of the curve whose width = " & Math.Round(width, 4) & " is not guaranteed")
|
|
|
|
angle = Cal_A(m_val) 'Math.Asin(2 * m_val - 1)
|
|
refPlane.Origin = refPlane.PointAt(width / 2, 0, 0) ' adjust the origin of the reference plane so that the curve is centered about the y-axis (start of the curve is at x = -width/2)
|
|
|
|
tmp_pts = FindBendForm(length, width, m_val, angle, refPlane)
|
|
multi_pts.AddRange(tmp_pts, New GH_Path(j))
|
|
multi_crv.Add(MakeCurve(tmp_pts, angle, refPlane))
|
|
|
|
multi_W.Add(width)
|
|
If flip_A Then angle = -angle
|
|
multi_A.Add(angle)
|
|
|
|
E = E * 10 ^ 9 ' Young's modulus input E is in GPa, so we convert to Pa here (= N/m^2)
|
|
multi_F.Add(EllipticK(m_val) ^ 2 * E * I / length ^ 2) ' from reference {4} pg. 79
|
|
|
|
j += 1
|
|
refPlane.Origin = PtA ' reset the reference plane origin to PtA for the next m_val
|
|
'Print("length=" & length & ", width=" & width & ", height=" & height & ", angle=" & angle & ", m=" & m_val & ", k=" & Math.Sqrt(m_val) & ", w/L=" & width / length & ", h/L=" & height / length & ", w/h=" & width / height)
|
|
Next
|
|
|
|
' assign the outputs
|
|
Pts = multi_pts
|
|
Crv = multi_crv
|
|
L = length
|
|
W = multi_W
|
|
If flip_H Then height = -height
|
|
H = height
|
|
A = multi_A
|
|
F = multi_F
|
|
|
|
Else ' only deal with the single m value
|
|
If m >= Defined.M_SKETCHY Then Msg("info", "Accuracy of the curve at these parameters is not guaranteed")
|
|
|
|
If width < 0 And ignoreSelfIntersecting Then
|
|
Msg("error", "Curve is self-intersecting. To enable these, set ignoreSelfIntersecting to False")
|
|
Return
|
|
End If
|
|
|
|
Pts = FindBendForm(length, width, m, angle, refPlane)
|
|
Crv = MakeCurve(pts, angle, refPlane)
|
|
L = length
|
|
W = width
|
|
If flip_H Then height = -height
|
|
H = height
|
|
If flip_A Then angle = -angle
|
|
A = angle
|
|
|
|
E = E * 10 ^ 9 ' Young's modulus input E is in GPa, so we convert to Pa here (= N/m^2)
|
|
F = EllipticK(m) ^ 2 * E * I / length ^ 2 ' from reference {4} pg. 79. Note: the critical buckling (that makes the rod/wire start to bend) can be found at height=0 (width=length)
|
|
|
|
'height = Math.Sqrt(((2 * Len / 5) ^ 2 - ((Wid - Len / 5) / 2) ^ 2) ' quick approximation discovered by Mårten of 'Geometry of Bending' fame ( http://tiny.cc/it2pbx )
|
|
'width = (Len +/- 2 * Math.Sqrt(4 * Len ^ 2 - 25 * Ht ^ 2)) / 5 ' derived from above
|
|
'length = (2 * Math.Sqrt(15 * Ht ^ 2 + 4 * Wid ^ 2) - Wid) / 3 ' derived from above
|
|
|
|
'Print("length=" & length & ", width=" & width & ", height=" & height & ", angle=" & angle & ", m=" & m & ", k=" & Math.Sqrt(m) & ", w/L=" & width / length & ", h/L=" & height / length & ", w/h=" & width / height)
|
|
End If
|
|
</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<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>2318</X>
|
|
<Y>3341</Y>
|
|
<W>84</W>
|
|
<H>184</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2360</X>
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|
<Y>3433</Y>
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|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="ParameterData">
|
|
<items count="19">
|
|
<item name="InputCount" type_name="gh_int32" type_code="3">9</item>
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<item name="InputId" index="0" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
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<item name="InputId" index="1" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
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|
<item name="InputId" index="2" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
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<item name="InputId" index="3" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
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<item name="InputId" index="4" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
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<item name="InputId" index="5" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="InputId" index="6" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="InputId" index="7" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="InputId" index="8" type_name="gh_guid" type_code="9">84fa917c-1ed8-4db3-8be1-7bdc4a6495a2</item>
|
|
<item name="OutputCount" type_name="gh_int32" type_code="3">8</item>
|
|
<item name="OutputId" index="0" type_name="gh_guid" type_code="9">3ede854e-c753-40eb-84cb-b48008f14fd4</item>
|
|
<item name="OutputId" index="1" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
<item name="OutputId" index="2" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
<item name="OutputId" index="3" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
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<item name="OutputId" index="4" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
<item name="OutputId" index="5" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
<item name="OutputId" index="6" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
<item name="OutputId" index="7" type_name="gh_guid" type_code="9">8ec86459-bf01-4409-baee-174d0d2b13d0</item>
|
|
</items>
|
|
<chunks count="17">
|
|
<chunk name="InputParam" index="0">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable PtA</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">e0b340a6-33e3-4438-bc60-5fea5b18f4fa</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">PtA</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">PtA</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">e1937b56-b1da-4c12-8bd8-e34ee81746ef</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2320</X>
|
|
<Y>3343</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2334</X>
|
|
<Y>3353</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">
|
|
<!--GH_Point only stores data which exists, test the existence of data fields prior to reading.-->
|
|
<items count="2">
|
|
<item name="Coordinate" type_name="gh_point3d" type_code="51">
|
|
<X>0</X>
|
|
<Y>0</Y>
|
|
<Z>0</Z>
|
|
</item>
|
|
<item name="TypeName" type_name="gh_string" type_code="10">Grasshopper.Kernel.Types.GH_Point</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="1">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable PtB</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">a74e4c29-c138-4cd0-b6ec-cd627a642509</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">PtB</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">PtB</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">e1937b56-b1da-4c12-8bd8-e34ee81746ef</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2320</X>
|
|
<Y>3363</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2334</X>
|
|
<Y>3373</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="2">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable Pln</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">f4a02e94-d4ad-4590-84da-4f3345f5db67</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Pln</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Pln</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">3897522d-58e9-4d60-b38c-978ddacfedd8</item>
|
|
</items>
|
|
<chunks count="2">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2320</X>
|
|
<Y>3383</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2334</X>
|
|
<Y>3393</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="TypeName" type_name="gh_string" type_code="10">Grasshopper.Kernel.Types.GH_Plane</item>
|
|
<item name="plane" type_name="gh_plane" type_code="72">
|
|
<Ox>0</Ox>
|
|
<Oy>0</Oy>
|
|
<Oz>0</Oz>
|
|
<Xx>1</Xx>
|
|
<Xy>0</Xy>
|
|
<Xz>0</Xz>
|
|
<Yx>0</Yx>
|
|
<Yy>1</Yy>
|
|
<Yz>0</Yz>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="3">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable Len</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">e8ad0a50-2a34-4c5c-abc5-fbeb62b12cf3</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Len</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Len</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2320</X>
|
|
<Y>3403</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2334</X>
|
|
<Y>3413</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="4">
|
|
<items count="11">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable Wid</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">3d51ade1-9c1d-448d-ae91-7266d9eeadc1</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Wid</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Wid</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Source" index="0" type_name="gh_guid" type_code="9">0c529f4b-39cf-4343-8565-04e4988cf6c0</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2320</X>
|
|
<Y>3423</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2334</X>
|
|
<Y>3433</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="5">
|
|
<items count="11">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable Ht</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">42b3091b-80e1-471c-a7f5-f1248e8297a0</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Ht</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Ht</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Source" index="0" type_name="gh_guid" type_code="9">e0ec9007-74c8-4451-9373-9d9815942542</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2320</X>
|
|
<Y>3443</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2334</X>
|
|
<Y>3453</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="6">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable Ang</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">8c2cb104-2fdb-463a-9d03-caa3dc8e6828</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Ang</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Ang</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2320</X>
|
|
<Y>3463</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2334</X>
|
|
<Y>3473</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="7">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable E</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">f1b789aa-353e-4333-a570-95733cae4b39</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">E</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">E</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2320</X>
|
|
<Y>3483</Y>
|
|
<W>25</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>2334</X>
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<Y>3493</Y>
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</item>
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</items>
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|
</chunk>
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|
</chunks>
|
|
</chunk>
|
|
<chunk name="InputParam" index="8">
|
|
<items count="10">
|
|
<item name="AllowTreeAccess" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Script Variable I</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">c95788d2-4a1a-44bf-a2f3-e275b3a140ea</item>
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|
<item name="Name" type_name="gh_string" type_code="10">I</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">I</item>
|
|
<item name="Optional" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="ScriptParamAccess" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="ShowTypeHints" type_name="gh_bool" type_code="1">true</item>
|
|
<item name="SourceCount" type_name="gh_int32" type_code="3">0</item>
|
|
<item name="TypeHintID" type_name="gh_guid" type_code="9">8e991e99-5fb8-41e1-928d-1bba8fb9f7d7</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">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2320</X>
|
|
<Y>3503</Y>
|
|
<W>25</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2334</X>
|
|
<Y>3513</Y>
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|
</item>
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|
</items>
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|
</chunk>
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|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="0">
|
|
<items count="7">
|
|
<item name="Access" type_name="gh_int32" type_code="3">1</item>
|
|
<item name="Description" type_name="gh_string" type_code="10">Print, Reflect and Error streams</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">fa2597fb-ad52-4ad7-9f68-56f0ba98f216</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">out</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">out</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">
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|
<chunk name="Attributes">
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|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2375</X>
|
|
<Y>3343</Y>
|
|
<W>25</W>
|
|
<H>22</H>
|
|
</item>
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|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2387.5</X>
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|
<Y>3354.25</Y>
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</item>
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</items>
|
|
</chunk>
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|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="1">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter Pts</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">4fecf712-f978-4ff9-b599-c7123ce298cb</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Pts</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Pts</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>2375</X>
|
|
<Y>3365</Y>
|
|
<W>25</W>
|
|
<H>23</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2387.5</X>
|
|
<Y>3376.75</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="2">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter Crv</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">85964c8e-57ef-45e8-8254-561b34e4791d</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Crv</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Crv</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>2375</X>
|
|
<Y>3388</Y>
|
|
<W>25</W>
|
|
<H>22</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2387.5</X>
|
|
<Y>3399.25</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="3">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter L</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">ac6ba150-f790-44ec-a438-7c12be8544ee</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">L</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">L</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>2375</X>
|
|
<Y>3410</Y>
|
|
<W>25</W>
|
|
<H>23</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2387.5</X>
|
|
<Y>3421.75</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="4">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter W</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">685d261b-2e57-4de3-88c1-b53a7e4828c6</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">W</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">W</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>2375</X>
|
|
<Y>3433</Y>
|
|
<W>25</W>
|
|
<H>22</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2387.5</X>
|
|
<Y>3444.25</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="5">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter H</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">99095cd4-3684-4b3e-bea7-c8ffb6520772</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">H</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">H</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>2375</X>
|
|
<Y>3455</Y>
|
|
<W>25</W>
|
|
<H>23</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2387.5</X>
|
|
<Y>3466.75</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="6">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter A</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">b9e6ad28-add8-420b-948a-b9279ad8639a</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">A</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">A</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>2375</X>
|
|
<Y>3478</Y>
|
|
<W>25</W>
|
|
<H>22</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2387.5</X>
|
|
<Y>3489.25</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="OutputParam" index="7">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Output parameter F</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">e30242aa-438c-437f-ad33-e353fcbc48a9</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">F</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">F</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>2375</X>
|
|
<Y>3500</Y>
|
|
<W>25</W>
|
|
<H>23</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2387.5</X>
|
|
<Y>3511.75</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="88">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">9c85271f-89fa-4e9f-9f4a-d75802120ccc</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Division</item>
|
|
</items>
|
|
<chunks count="1">
|
|
<chunk name="Container">
|
|
<items count="4">
|
|
<item name="Description" type_name="gh_string" type_code="10">Mathematical division</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">ba901ef1-d5bb-488c-bed2-4d5efcaf066a</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">Division</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">Division</item>
|
|
</items>
|
|
<chunks count="4">
|
|
<chunk name="Attributes">
|
|
<items count="2">
|
|
<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
|
|
<X>2134</X>
|
|
<Y>3523</Y>
|
|
<W>85</W>
|
|
<H>44</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2165</X>
|
|
<Y>3545</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
<chunk name="param_input" index="0">
|
|
<items count="7">
|
|
<item name="Description" type_name="gh_string" type_code="10">Item to divide (dividend)</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">9ccc7383-23f3-43af-8052-b389131cec7e</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">A</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">A</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">0c529f4b-39cf-4343-8565-04e4988cf6c0</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>2136</X>
|
|
<Y>3525</Y>
|
|
<W>14</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2144.5</X>
|
|
<Y>3535</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">Item to divide with (divisor)</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">8ea54c3d-a3c0-4996-af5a-57b158fd7368</item>
|
|
<item name="Name" type_name="gh_string" type_code="10">B</item>
|
|
<item name="NickName" type_name="gh_string" type_code="10">B</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>2136</X>
|
|
<Y>3545</Y>
|
|
<W>14</W>
|
|
<H>20</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2144.5</X>
|
|
<Y>3555</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="TypeName" type_name="gh_string" type_code="10">Grasshopper.Kernel.Types.GH_Integer</item>
|
|
<item name="number" type_name="gh_int32" type_code="3">2</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">The result of the Division</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">e0ec9007-74c8-4451-9373-9d9815942542</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>2180</X>
|
|
<Y>3525</Y>
|
|
<W>37</W>
|
|
<H>40</H>
|
|
</item>
|
|
<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
|
|
<X>2198.5</X>
|
|
<Y>3545</Y>
|
|
</item>
|
|
</items>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
</chunks>
|
|
</chunk>
|
|
<chunk name="Object" index="89">
|
|
<items count="2">
|
|
<item name="GUID" type_name="gh_guid" type_code="9">59e0b89a-e487-49f8-bab8-b5bab16be14c</item>
|
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>3295</X>
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<item name="GUID" type_name="gh_guid" type_code="9">8073a420-6bec-49e3-9b18-367f6fd76ac3</item>
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<item name="Name" type_name="gh_string" type_code="10">Join Curves</item>
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<chunk name="Container">
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<item name="Description" type_name="gh_string" type_code="10">Join as many curves as possible</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">078c6506-4f72-4372-8f91-5deb76a93fe4</item>
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<item name="Name" type_name="gh_string" type_code="10">Join Curves</item>
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<item name="NickName" type_name="gh_string" type_code="10">Join Curves</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>3288</X>
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<X>3351</X>
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<item name="Access" type_name="gh_int32" type_code="3">1</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">79539ab7-4342-4290-89a8-1f3fbba43c0c</item>
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<item name="Name" type_name="gh_string" type_code="10">Curves</item>
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<item name="NickName" type_name="gh_string" type_code="10">Curves</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">1f0edef8-f630-4c9b-ab05-943f35e216fe</item>
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<item name="Source" index="1" type_name="gh_guid" type_code="9">9a89200f-f4c2-4c65-a052-afed86b461c2</item>
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<item name="SourceCount" type_name="gh_int32" type_code="3">2</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>3290</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>3314.5</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">Preserve direction of input curves</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">d3760e74-bd51-457f-9c51-ff5cdb2bec85</item>
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<item name="Name" type_name="gh_string" type_code="10">Preserve</item>
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<item name="NickName" type_name="gh_string" type_code="10">Preserve</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>3290</X>
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<X>3314.5</X>
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<item name="boolean" type_name="gh_bool" type_code="1">false</item>
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<chunk name="param_output" index="0">
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<item name="Access" type_name="gh_int32" type_code="3">1</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">e7274196-c69b-461c-966a-aaa3b6bc4020</item>
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<item name="NickName" type_name="gh_string" type_code="10">Curves</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>3366</X>
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<W>41</W>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>3386.5</X>
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<item name="GUID" type_name="gh_guid" type_code="9">3581f42a-9592-4549-bd6b-1c0fc39d067b</item>
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<item name="Name" type_name="gh_string" type_code="10">Construct Point</item>
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<chunk name="Container">
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<item name="Description" type_name="gh_string" type_code="10">Construct a point from {xyz} coordinates.</item>
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<item name="Hidden" type_name="gh_bool" type_code="1">true</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">b8db0342-47bb-44ee-8a08-130ef408e66f</item>
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<item name="Name" type_name="gh_string" type_code="10">Construct Point</item>
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<item name="NickName" type_name="gh_string" type_code="10">Construct Point</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>1688</X>
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<X>1770</X>
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<chunk name="param_input" index="0">
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<item name="Description" type_name="gh_string" type_code="10">{x} coordinate</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">01cd14f3-2c1e-4279-935e-f0b00af0c9f8</item>
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<item name="Name" type_name="gh_string" type_code="10">X coordinate</item>
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<item name="NickName" type_name="gh_string" type_code="10">X coordinate</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">0ab31ee5-a662-42db-a9f0-ca0831013edc</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>1690</X>
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<W>65</W>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>1724</X>
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<item name="number" type_name="gh_double" type_code="6">0</item>
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<item name="Description" type_name="gh_string" type_code="10">{y} coordinate</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">63868fb4-9bf2-4e3f-963b-29443ca99af1</item>
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<item name="Name" type_name="gh_string" type_code="10">Y coordinate</item>
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<item name="NickName" type_name="gh_string" type_code="10">Y coordinate</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">0ab31ee5-a662-42db-a9f0-ca0831013edc</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>1690</X>
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<Y>2551</Y>
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<W>65</W>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>1724</X>
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<item name="number" type_name="gh_double" type_code="6">0</item>
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<chunk name="param_input" index="2">
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<item name="Description" type_name="gh_string" type_code="10">{z} coordinate</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">d4325105-b09e-4ce7-b978-59a6855e5c0d</item>
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<item name="Name" type_name="gh_string" type_code="10">Z coordinate</item>
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<item name="NickName" type_name="gh_string" type_code="10">Z coordinate</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>1690</X>
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<Y>2571</Y>
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<W>65</W>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>1724</X>
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<Y>2581</Y>
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<item name="number" type_name="gh_double" type_code="6">0</item>
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<item name="Description" type_name="gh_string" type_code="10">Point coordinate</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">011b00fc-5add-41a0-9757-9d38ebdc9d11</item>
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<item name="Name" type_name="gh_string" type_code="10">Point</item>
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<item name="NickName" type_name="gh_string" type_code="10">Point</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>1785</X>
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<W>33</W>
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<X>1801.5</X>
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<item name="GUID" type_name="gh_guid" type_code="9">57da07bd-ecab-415d-9d86-af36d7073abc</item>
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<item name="Name" type_name="gh_string" type_code="10">Number Slider</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">6ecfa3d1-7e96-49b0-9f64-5a35c882f968</item>
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<item name="NickName" type_name="gh_string" type_code="10">Number Slider</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>1338</X>
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<X>1338.134</X>
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<chunk name="Slider">
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<item name="Interval" type_name="gh_int32" type_code="3">0</item>
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<item name="Max" type_name="gh_double" type_code="6">2</item>
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<item name="Min" type_name="gh_double" type_code="6">0</item>
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<item name="SnapCount" type_name="gh_int32" type_code="3">0</item>
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<item name="Value" type_name="gh_double" type_code="6">1.256412</item>
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<item name="GUID" type_name="gh_guid" type_code="9">eeafc956-268e-461d-8e73-ee05c6f72c01</item>
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<item name="Name" type_name="gh_string" type_code="10">Stream Filter</item>
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<item name="Description" type_name="gh_string" type_code="10">Filters a collection of input streams</item>
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<item name="number" type_name="gh_int32" type_code="3">10</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<X>2756</X>
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<X>2775</X>
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<chunk name="Container">
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">d182f473-7281-4969-9552-b4c7eeb99315</item>
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<X>2827</X>
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<item name="NickName" type_name="gh_string" type_code="10">X coordinate</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">6b4e3bee-632c-48c2-b1ff-6409e6bd940b</item>
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<X>2829</X>
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<X>2863</X>
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<chunk name="param_input" index="1">
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<item name="Description" type_name="gh_string" type_code="10">{y} coordinate</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">4712f5ee-0d95-456c-849d-a3ea0090476d</item>
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<item name="Name" type_name="gh_string" type_code="10">Y coordinate</item>
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<item name="NickName" type_name="gh_string" type_code="10">Y coordinate</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">d61f0e54-a368-4744-9900-999ee664a002</item>
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<X>2829</X>
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<X>2863</X>
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<item name="Description" type_name="gh_string" type_code="10">{z} coordinate</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">b0c8bbef-3b86-4cab-817c-42b668b68cc4</item>
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<item name="NickName" type_name="gh_string" type_code="10">Z coordinate</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>2829</X>
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<X>2863</X>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<X>2940.5</X>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">0974ed3a-cf56-4777-994e-616c5436f465</item>
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<X>2985</X>
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<W>128</W>
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<X>3052</X>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">5379013a-34f1-4ad7-92e4-b5fe055722ff</item>
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<item name="NickName" type_name="gh_string" type_code="10">Vertices</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<X>2987</X>
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<W>50</W>
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<X>3013.5</X>
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<item name="Description" type_name="gh_string" type_code="10">Curve degree</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">c542417b-2adc-4ac4-9888-a0240e431bf7</item>
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<item name="Name" type_name="gh_string" type_code="10">Degree</item>
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<item name="NickName" type_name="gh_string" type_code="10">Degree</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<X>2987</X>
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<X>3013.5</X>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">83ec7924-a6ec-4d49-bc94-f9cd25dcd48f</item>
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<item name="NickName" type_name="gh_string" type_code="10">Periodic</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>2987</X>
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<X>3013.5</X>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">2df1e4de-b4a9-49a5-bd1e-d2e545096824</item>
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<item name="Name" type_name="gh_string" type_code="10">Flip</item>
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<item name="NickName" type_name="gh_string" type_code="10">Flip</item>
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<chunk name="param_input" index="5">
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<item name="Description" type_name="gh_string" type_code="10">Join the mirror cut curves</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">76c6073f-e5c8-45e1-9f4a-1c08ca966c8d</item>
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<item name="Name" type_name="gh_string" type_code="10">Join</item>
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<item name="NickName" type_name="gh_string" type_code="10">Join</item>
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<X>4845</X>
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<Y>234</Y>
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<item name="Description" type_name="gh_string" type_code="10">Keep the curve and mirror it normally if it is mirror cut into non-existence</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">e0909465-6595-400c-a10c-7f83a50dd4c1</item>
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<item name="Name" type_name="gh_string" type_code="10">Keep</item>
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<item name="NickName" type_name="gh_string" type_code="10">Keep</item>
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<X>4845</X>
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<X>4888</X>
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<chunk name="param_input" index="7">
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<items count="6">
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<item name="Description" type_name="gh_string" type_code="10">Determines how the mirror cut curves are connected
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0 = Linear
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1 = Tangency
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2 = Curvature
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3 = Meet Ends</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">6d0ebce5-38b2-4d13-9a4c-bec59d394b73</item>
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<item name="Name" type_name="gh_string" type_code="10">Connection Type</item>
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<item name="NickName" type_name="gh_string" type_code="10">Connection Type</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<X>4845</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>4888</X>
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<chunk name="param_input" index="8">
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<items count="6">
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<item name="Description" type_name="gh_string" type_code="10">Bulge factor for the mirror cut curve connections (-B = Negative Bulge, 0.0 = No Bulge, +B = Positive Bulge)</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">76871e12-a380-4bfc-a766-7fbc0b21876e</item>
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<item name="Name" type_name="gh_string" type_code="10">Bulge</item>
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<item name="NickName" type_name="gh_string" type_code="10">Bulge</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<X>4845</X>
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<Y>294</Y>
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<X>4888</X>
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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 mirror cut curves</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">92f661f6-4319-4861-ad6a-a59b608327fc</item>
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<item name="Name" type_name="gh_string" type_code="10">Mirror Cut</item>
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<item name="NickName" type_name="gh_string" type_code="10">Mirror Cut</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</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>4958</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>4991</X>
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<Y>152</Y>
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<chunk name="param_output" index="1">
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<items count="6">
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<item name="Description" type_name="gh_string" type_code="10">The splitting index (only if Join is false)
|
|
|
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To split the mirror cut curve set at the mirror use this as the index input on Grasshopper's Split List component.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">2930bdfc-a558-40f6-9dcb-da855adbb036</item>
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<item name="Name" type_name="gh_string" type_code="10">Split Index</item>
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<item name="NickName" type_name="gh_string" type_code="10">Split Index</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>4958</X>
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<Y>170</Y>
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<W>66</W>
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<H>36</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>4991</X>
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<Y>188</Y>
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<chunk name="param_output" index="2">
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<items count="6">
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|
<item name="Description" type_name="gh_string" type_code="10">The plane at the reach distance</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">e8b32b49-9ae0-4958-b375-30f99fc9a1e5</item>
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<item name="Name" type_name="gh_string" type_code="10">Reach Plane</item>
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<item name="NickName" type_name="gh_string" type_code="10">Reach Plane</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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<chunk name="Attributes">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>4958</X>
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<Y>206</Y>
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<W>66</W>
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<H>36</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>4991</X>
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<Y>224</Y>
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<chunk name="param_output" index="3">
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<items count="6">
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<item name="Description" type_name="gh_string" type_code="10">The plane at the offset distance</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">dcdbf4e7-5dfc-4e6d-8716-a19152e42ade</item>
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<item name="Name" type_name="gh_string" type_code="10">Offset Plane</item>
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<item name="NickName" type_name="gh_string" type_code="10">Offset Plane</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>4958</X>
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<Y>242</Y>
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<W>66</W>
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<H>36</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>4991</X>
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<Y>260</Y>
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</chunk>
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<chunk name="param_output" index="4">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">True if the curve was intersected by the mirror cut, False if the curve was not intersected by the mirror cut</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">308874a3-735e-4350-901b-90ca30ecd1de</item>
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<item name="Name" type_name="gh_string" type_code="10">Intersected</item>
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<item name="NickName" type_name="gh_string" type_code="10">Intersected</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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<items count="2">
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>4958</X>
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<Y>278</Y>
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<W>66</W>
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<H>36</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>4991</X>
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<Y>296</Y>
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<item name="GUID" type_name="gh_guid" type_code="9">eeafc956-268e-461d-8e73-ee05c6f72c01</item>
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<item name="Name" type_name="gh_string" type_code="10">Stream Filter</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">Filters a collection of input streams</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">979151a5-e3ce-4c44-9a9c-741915882b6c</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="Access" type_name="gh_int32" type_code="3">1</item>
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<item name="Access" type_name="gh_int32" type_code="3">1</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<item name="NickName" type_name="gh_string" type_code="10">Domain</item>
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<item name="Interval" type_name="gh_interval1d" type_code="60">
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<A>0</A>
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<item name="Description" type_name="gh_string" type_code="10">Number of steps</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">ba3e4a9e-2404-446f-962a-97139f98e4b7</item>
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<X>2756</X>
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<X>2775</X>
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<X>2827</X>
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<item name="NickName" type_name="gh_string" type_code="10">X coordinate</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<X>2829</X>
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<X>2863</X>
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<X>2940.5</X>
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<X>1721</X>
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<X>1755</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="number" type_name="gh_double" type_code="6">0</item>
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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">{z} coordinate</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">dc14faec-3816-48f7-8bec-01b61461e515</item>
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<item name="Name" type_name="gh_string" type_code="10">Z coordinate</item>
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<item name="NickName" type_name="gh_string" type_code="10">Z coordinate</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>1721</X>
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<X>1755</X>
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<item name="number" type_name="gh_double" type_code="6">0</item>
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<chunk name="param_output" index="0">
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<item name="Description" type_name="gh_string" type_code="10">Point coordinate</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">52cef00d-db8e-4b87-8695-4352608b0e17</item>
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<item name="NickName" type_name="gh_string" type_code="10">Point</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>1816</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>1832.5</X>
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<Y>2428</Y>
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<item name="Name" type_name="gh_string" type_code="10">Negative</item>
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<chunk name="Container">
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<item name="Description" type_name="gh_string" type_code="10">Compute the negative of a value.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">11c7c257-c908-4206-9a1d-5059940eed56</item>
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<item name="Name" type_name="gh_string" type_code="10">Negative</item>
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<item name="NickName" type_name="gh_string" type_code="10">Negative</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>1543</X>
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<W>103</W>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>1592</X>
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<item name="Description" type_name="gh_string" type_code="10">Input value</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">d98f3160-63ff-4c9a-8c96-659cb0c79021</item>
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<item name="Name" type_name="gh_string" type_code="10">Value</item>
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<item name="NickName" type_name="gh_string" type_code="10">Value</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">0ab31ee5-a662-42db-a9f0-ca0831013edc</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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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>1545</X>
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<W>32</W>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>1562.5</X>
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<chunk name="param_output" index="0">
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<item name="Description" type_name="gh_string" type_code="10">Output value</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">702f8b2a-7fe5-4fe0-95f5-e1e3b7b65a76</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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<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>1607</X>
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<Y>2380</Y>
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<W>37</W>
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<H>24</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>1625.5</X>
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<Y>2392</Y>
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<item name="GUID" type_name="gh_guid" type_code="9">9c85271f-89fa-4e9f-9f4a-d75802120ccc</item>
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<item name="Name" type_name="gh_string" type_code="10">Division</item>
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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">Mathematical division</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">17f06759-76ca-440f-9361-122e859fb639</item>
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<item name="Name" type_name="gh_string" type_code="10">Division</item>
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<item name="NickName" type_name="gh_string" type_code="10">Division</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>1580</X>
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<Y>2425</Y>
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<W>85</W>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>1611</X>
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<chunk name="param_input" index="0">
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<item name="Description" type_name="gh_string" type_code="10">Item to divide (dividend)</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">9eb6948a-524d-48d3-931b-70dae41b990b</item>
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<item name="Name" type_name="gh_string" type_code="10">A</item>
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<item name="NickName" type_name="gh_string" type_code="10">A</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">702f8b2a-7fe5-4fe0-95f5-e1e3b7b65a76</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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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>1582</X>
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<Y>2427</Y>
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<W>14</W>
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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>1590.5</X>
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<Y>2437</Y>
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<chunk name="param_input" index="1">
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<item name="Description" type_name="gh_string" type_code="10">Item to divide with (divisor)</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">a142ff64-f606-402f-9b39-d1aeba3a8cbb</item>
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<item name="Name" type_name="gh_string" type_code="10">B</item>
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<item name="NickName" type_name="gh_string" type_code="10">B</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>1582</X>
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<Y>2447</Y>
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<W>14</W>
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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>1590.5</X>
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<Y>2457</Y>
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<item name="Count" type_name="gh_int32" type_code="3">1</item>
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<item name="TypeName" type_name="gh_string" type_code="10">Grasshopper.Kernel.Types.GH_Integer</item>
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<item name="number" type_name="gh_int32" type_code="3">8</item>
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<item name="Description" type_name="gh_string" type_code="10">The result of the Division</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">de6684ff-cc29-4ae0-853f-5570ee53910b</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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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>1626</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>1644.5</X>
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<Y>2447</Y>
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<item name="GUID" type_name="gh_guid" type_code="9">4c619bc9-39fd-4717-82a6-1e07ea237bbe</item>
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<item name="Name" type_name="gh_string" type_code="10">Line SDL</item>
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<item name="Description" type_name="gh_string" type_code="10">Create a line segment defined by start point, tangent and length.}</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">ca01df76-d9f4-4d9e-87c7-b1466531ad49</item>
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<item name="Name" type_name="gh_string" type_code="10">Line SDL</item>
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<item name="NickName" type_name="gh_string" type_code="10">Line SDL</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>148</X>
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<X>212</X>
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<chunk name="param_input" index="0">
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<item name="Description" type_name="gh_string" type_code="10">Line start point</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">6a012364-bb07-413c-a3d4-824e66511676</item>
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|
<item name="Name" type_name="gh_string" type_code="10">Start</item>
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|
<item name="NickName" type_name="gh_string" type_code="10">Start</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>150</X>
|
|
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>175</X>
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|
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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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<chunks count="1">
|
|
<chunk name="Item" index="0">
|
|
<!--GH_Point only stores data which exists, test the existence of data fields prior to reading.-->
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|
<items count="1">
|
|
<item name="Coordinate" type_name="gh_point3d" type_code="51">
|
|
<X>0</X>
|
|
<Y>0</Y>
|
|
<Z>0</Z>
|
|
</item>
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|
|
<chunk name="param_input" index="1">
|
|
<items count="6">
|
|
<item name="Description" type_name="gh_string" type_code="10">Line tangent (direction)</item>
|
|
<item name="InstanceGuid" type_name="gh_guid" type_code="9">a44ad05a-9bef-4077-9d18-0e598cc797c3</item>
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<item name="NickName" type_name="gh_string" type_code="10">Curve</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">fbac77a5-b15a-4a25-8bf0-69012470613a</item>
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<chunk name="param_output" index="0">
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<item name="Description" type_name="gh_string" type_code="10">Curve start point</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">5bbd66c6-f0aa-4f51-b7b6-163f2869cce4</item>
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<item name="Name" type_name="gh_string" type_code="10">Start</item>
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<item name="NickName" type_name="gh_string" type_code="10">Start</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<X>4497</X>
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<X>4513</X>
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<chunk name="param_output" index="1">
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<item name="Description" type_name="gh_string" type_code="10">Curve end point</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">0e7077e5-3137-4f94-9928-79aba3425b59</item>
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<item name="Name" type_name="gh_string" type_code="10">End</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<X>4497</X>
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<X>4513</X>
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<chunk name="Container">
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<item name="Description" type_name="gh_string" type_code="10">Contains a collection of three-dimensional points</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">648dc240-68d2-4025-a475-8c2773894934</item>
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<item name="NickName" type_name="gh_string" type_code="10">Point</item>
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<item name="Optional" type_name="gh_bool" type_code="1">false</item>
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<X>4539</X>
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<X>4564.096</X>
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<item name="Name" type_name="gh_string" type_code="10">Point</item>
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<chunk name="Container">
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<item name="Description" type_name="gh_string" type_code="10">Contains a collection of three-dimensional points</item>
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<item name="Hidden" type_name="gh_bool" type_code="1">true</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">10638caf-83c2-49b3-a612-433a2d1cfa62</item>
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<item name="Name" type_name="gh_string" type_code="10">Point</item>
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<item name="NickName" type_name="gh_string" type_code="10">Point</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">5bbd66c6-f0aa-4f51-b7b6-163f2869cce4</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>4541</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>4566.583</X>
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<item name="GUID" type_name="gh_guid" type_code="9">9abae6b7-fa1d-448c-9209-4a8155345841</item>
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<item name="Name" type_name="gh_string" type_code="10">Deconstruct</item>
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<item name="Description" type_name="gh_string" type_code="10">Deconstruct a point into its component parts.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">7d32bbcf-4f64-4002-bdb5-ec26998a4af6</item>
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<item name="Name" type_name="gh_string" type_code="10">Deconstruct</item>
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<item name="NickName" type_name="gh_string" type_code="10">Deconstruct</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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<X>-140</X>
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<W>135</W>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>-93</X>
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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">Input point</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">fcc1c6ca-739e-45f7-bc7e-0a5fafea5768</item>
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<item name="Name" type_name="gh_string" type_code="10">Point</item>
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<item name="NickName" type_name="gh_string" type_code="10">Point</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">648dc240-68d2-4025-a475-8c2773894934</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>-138</X>
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<W>30</W>
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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>-121.5</X>
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<Y>550</Y>
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<item name="Description" type_name="gh_string" type_code="10">Point {x} component</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">2e1ddc4d-d964-4b70-b9be-e97ff55297f5</item>
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<item name="Name" type_name="gh_string" type_code="10">X component</item>
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<item name="NickName" type_name="gh_string" type_code="10">X component</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>-78</X>
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<X>-42.5</X>
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<item name="Description" type_name="gh_string" type_code="10">Point {y} component</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">ad763f35-9995-4d27-a8de-004b14f42559</item>
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<item name="Name" type_name="gh_string" type_code="10">Y component</item>
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<item name="NickName" type_name="gh_string" type_code="10">Y component</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>-78</X>
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<Y>540</Y>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>-42.5</X>
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<item name="Description" type_name="gh_string" type_code="10">Point {z} component</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">c95bc646-d409-47eb-8f3d-b746faca558e</item>
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<item name="Name" type_name="gh_string" type_code="10">Z component</item>
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<item name="NickName" type_name="gh_string" type_code="10">Z component</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>-78</X>
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<item name="Pivot" type_name="gh_drawing_pointf" type_code="31">
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<X>-42.5</X>
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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">18559b17-1184-43fc-a05d-819cfb3bf74a</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">0</item>
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<item name="Source" index="0" type_name="gh_guid" type_code="9">ad763f35-9995-4d27-a8de-004b14f42559</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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<X>8</X>
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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>8.196205</X>
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<Y>361.7971</Y>
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<chunk name="PanelProperties">
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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 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">fe502a6c-31bc-4089-821d-05de68d7fe76</item>
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<item name="Lib" type_name="gh_guid" type_code="9">1c9de8a1-315f-4c56-af06-8f69fee80a7a</item>
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<item name="Name" type_name="gh_string" type_code="10">Curve Length At</item>
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<item name="Description" type_name="gh_string" type_code="10">Get the length along a curve from its start to a point on the curve (or optionally to a parameter on the curve), if point is not on the curve it will be pulled to it.</item>
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<item name="InstanceGuid" type_name="gh_guid" type_code="9">d86c92c6-3d1d-45e9-ac8b-f0d3279ebc9c</item>
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<item name="Name" type_name="gh_string" type_code="10">Curve Length At</item>
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<item name="NickName" type_name="gh_string" type_code="10">Curve Length At</item>
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<item name="Bounds" type_name="gh_drawing_rectanglef" type_code="35">
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You can Right Click on the component's icon and choose "ForAll" option to have center point of a group of geometries.
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