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neila/practice.nb

Created November 21, 2020 14:24
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learning mathematica
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practice.nb
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Frame->{{False, False}, {False, False}},
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FrameTicks->{{Automatic,
Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic,
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GridLines->{None, None},
GridLinesStyle->Directive[
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ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->
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PlotRangeClipping->True,
PlotRangePadding->{{
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}, Open ]],
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AppearanceElements -> {"Extrusion", "Warnings", "Assumptions", "Pods"},
Asynchronous -> All,
Method -> {
"ExtrusionChosen" -> {
"Plot", "Plots", 1, 2, "Input", "Plot[Sin[x]/x, {x, -9.4, 9.4}]"},
"Formats" -> {"cell", "minput", "moutput", "msound", "dataformats"}}},
Typeset`elements$$ = {"Extrusion", "Warnings", "Assumptions", "Pods"},
Typeset`pod1$$ = XMLElement[
"pod", {"error" -> "false", "id" -> "Input", "numsubpods" -> "1",
"position" -> "100", "scanner" -> "Identity", "title" ->
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XMLElement["subpod", {"title" -> ""}, {
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BoxData[
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GridBox[{{
PaneBox[
StyleBox[
TagBox[
GridBox[{{
StyleBox[
"\"plot\"", {
LineIndent -> 0, LineSpacing -> {0.9, 0, 1.5}}],
FractionBox[
RowBox[{"sin", "(", "x", ")"}], "x"]}},
GridBoxBackground -> {"Columns" -> {
GrayLevel[0.949], None}, "Rows" -> {{None}}},
GridBoxItemSize -> {
"Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
ColumnsEqual -> False, RowsEqual -> False,
GridBoxDividers -> {"Columns" -> {
GrayLevel[0.84],
GrayLevel[0.84],
GrayLevel[0.84]}, "Rows" -> {{
GrayLevel[0.84]}},
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GridBoxSpacings -> {
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GridBoxAlignment -> {
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GridBoxItemSize -> {
"Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
ColumnsEqual -> False, RowsEqual -> False,
GridBoxSpacings -> {"Columns" -> {{
AbsoluteThickness[-1]}}, "Rows" -> {{0}}},
AllowScriptLevelChange -> False],
Global`TagBoxWrapper["Separator" -> " | "]],
PolynomialForm[#, TraditionalOrder -> False]& ],
TraditionalForm]], "Output", {
Background -> None,
GraphicsBoxOptions -> {
DefaultBaseStyle -> {FontFamily -> "Times", "Graphics"},
DefaultAxesStyle -> Directive[
GrayLevel[0, 0.35], FontColor -> GrayLevel[0.25], FontOpacity ->
1, "GraphicsAxes"], DefaultFrameStyle -> Directive[
GrayLevel[0, 0.35], FontColor -> GrayLevel[0.25], FontOpacity ->
1, "GraphicsFrame"], DefaultFrameTicksStyle ->
Directive[
FontFamily -> "Times", FontSize -> 10, "GraphicsFrameTicks"],
DefaultTicksStyle ->
Directive[
FontFamily -> "Times", FontSize -> 10, "GraphicsTicks"]},
Graphics3DBoxOptions -> {
DefaultBaseStyle -> {FontFamily -> "Times", "Graphics3D"}}},
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RenderingOptions -> {
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XMLElement[
"pod", {"error" -> "false", "id" -> "Plot", "numsubpods" -> "2",
"position" -> "200", "scanner" -> "Plot", "title" -> "Plots"}, {
XMLElement["subpod", {"title" -> ""}, {
XMLElement["minput", {}, {"Plot[Sin[x]/x, {x, -9.4, 9.4}]"}],
XMLElement["cell", {"compressed" -> True, "string" -> False}, {
Cell[
BoxData[
FormBox[
TagBox[
FormBox[
StyleBox[
DynamicModuleBox[{
CalculateUtilities`GraphicsUtilities`Private`max8874$$ = 0.5,
CalculateUtilities`GraphicsUtilities`Private`min8873$$ = \
-0.5, CalculateUtilities`GraphicsUtilities`Private`more$$ = False,
Typeset`show$$ = True, Typeset`bookmarkList$$ = {},
Typeset`bookmarkMode$$ = "Menu", Typeset`animator$$,
Typeset`animvar$$ = 1, Typeset`name$$ = "\"untitled\"",
Typeset`specs$$ = {{
Hold[
CalculateUtilities`GraphicsUtilities`Private`more$$], {
False, True}}, {{
Hold[
CalculateUtilities`GraphicsUtilities`Private`min8873$$], \
-0.5, "min"}, -1, 1}, {{
Hold[
CalculateUtilities`GraphicsUtilities`Private`max8874$$],
0.5, "max"}, -1, 1}, {
Hold[
Style[
Overlay[{
Dynamic[
RawBoxes[
FEPrivate`FrontEndResource[
"WABitmaps", "PodInfoBackground"]]],
Pane[
Column[{
Grid[{{
Manipulate`Place[1],
Manipulate`Place[2]}}]}],
ImageMargins -> {{20, 30}, {10, 10}}]}, {1, 2}, 2,
Alignment -> {Left, Top}]]],
Manipulate`Dump`ThisIsNotAControl}}, Typeset`size$$ =
Automatic, Typeset`update$$ = 0, Typeset`initDone$$ = False,
Typeset`skipInitDone$$ = False,
CalculateUtilities`GraphicsUtilities`Private`more$2908234$$ =
False, CalculateUtilities`GraphicsUtilities`Private`min8873$\
2908239$$ = 0, CalculateUtilities`GraphicsUtilities`Private`max8874$2908240$$ =
0},
DynamicBox[
Manipulate`ManipulateBoxes[
2, TraditionalForm,
"Variables" :> {
CalculateUtilities`GraphicsUtilities`Private`max8874$$ =
0.5, CalculateUtilities`GraphicsUtilities`Private`min8873$\
$ = -0.5, CalculateUtilities`GraphicsUtilities`Private`more$$ = False},
"ControllerVariables" :> {
Hold[
CalculateUtilities`GraphicsUtilities`Private`more$$,
CalculateUtilities`GraphicsUtilities`Private`more$2908234$\
$, False],
Hold[
CalculateUtilities`GraphicsUtilities`Private`min8873$$,
CalculateUtilities`GraphicsUtilities`Private`min8873$\
2908239$$, 0],
Hold[
CalculateUtilities`GraphicsUtilities`Private`max8874$$,
CalculateUtilities`GraphicsUtilities`Private`max8874$\
2908240$$, 0]}, "OtherVariables" :> {
Typeset`show$$, Typeset`bookmarkList$$,
Typeset`bookmarkMode$$, Typeset`animator$$,
Typeset`animvar$$, Typeset`name$$, Typeset`specs$$,
Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
Typeset`skipInitDone$$}, "Body" :> Quiet[
Function[Null,
CalculateUtilities`GraphicsUtilities`Private`post$2908212[
Plot[
SlotSequence[1], AspectRatio -> If[
TrueQ[
CalculateUtilities`GraphicsUtilities`Private`aspect],
Automatic, 1/GoldenRatio]]], HoldAll][
Global`x^(-1) Sin[Global`x], {Global`x,
If[
NumericQ[
CalculateUtilities`GraphicsUtilities`Private`min8873$$],
(
Piecewise[{{
0. + 10.075511450176283` Tan[1.5040801783846716` #], # <
0}}, 0. +
10.075511450176283` Tan[1.5040801783846716` #]]& )[
CalculateUtilities`GraphicsUtilities`Private`min8873$$], \
-9.42477796076938],
If[
And[
NumericQ[
CalculateUtilities`GraphicsUtilities`Private`min8873$$],
NumericQ[
CalculateUtilities`GraphicsUtilities`Private`max8874$$]], \
(Piecewise[{{
0. + 10.075511450176283` Tan[1.5040801783846716` #], # <
0}}, 0. +
10.075511450176283` Tan[1.5040801783846716` #]]& )[
If[
CalculateUtilities`GraphicsUtilities`Private`min8873$$ ==
CalculateUtilities`GraphicsUtilities`Private`max8874$$,
CalculateUtilities`GraphicsUtilities`Private`min8873$$ +
0.01884955592153876,
CalculateUtilities`GraphicsUtilities`Private`max8874$$]],
9.42477796076938]},
LabelStyle -> {FontFamily -> "Bitstream Charter"},
WorkingPrecision -> MachinePrecision, PlotRange ->
Automatic, LabelStyle -> {}, Ticks -> Automatic,
ImageSize -> {300.}, AxesLabel -> {
RawBoxes[
FormBox["x", TraditionalForm]],
RawBoxes[
FormBox["y", TraditionalForm]]}, AxesLabel -> {
RawBoxes[
FormBox["x", TraditionalForm]], None}]],
"Specifications" :> {{
CalculateUtilities`GraphicsUtilities`Private`more$$, {
False, True}, ControlType -> None}, {{
CalculateUtilities`GraphicsUtilities`Private`min8873$$, \
-0.5, "min"}, -1, 1, ImageSize -> Tiny, ControlPlacement -> 1}, {{
CalculateUtilities`GraphicsUtilities`Private`max8874$$,
0.5, "max"}, -1, 1, ImageSize -> Tiny, ControlPlacement ->
2},
Style[
Overlay[{
Dynamic[
RawBoxes[
FEPrivate`FrontEndResource[
"WABitmaps", "PodInfoBackground"]]],
Pane[
Column[{
Grid[{{
Manipulate`Place[1],
Manipulate`Place[2]}}]}],
ImageMargins -> {{20, 30}, {10, 10}}]}, {1, 2}, 2,
Alignment -> {Left, Top}]]},
"Options" :> {
ControlPlacement -> Bottom,
FrameMargins -> {{0, 0}, {0, 10}}, Paneled -> False,
AppearanceElements -> {},
LabelStyle -> {
"DialogStyle", FontColor -> GrayLevel[0.25]}},
"DefaultOptions" :> {}], SingleEvaluation -> True],
Initialization :> ({
ReleaseHold[
Hold[
CalculateUtilities`GraphicsUtilities`Private`WACleanTicks[
Pattern[
CalculateUtilities`GraphicsUtilities`Private`ticks,
Blank[]]] :=
Module[{
CalculateUtilities`GraphicsUtilities`Private`res,
CalculateUtilities`GraphicsUtilities`Private`unitformat},
CalculateUtilities`GraphicsUtilities`Private`res =
ReplaceAll[
ReplaceAll[
Part[
DeleteCases[
Replace[
ReplaceAll[
CalculateUtilities`GraphicsUtilities`Private`ticks,
Alternatives[Style, Global`UnitNumberForm,
NumberForm] -> (#& )],
Pattern[CalculateUtilities`GraphicsUtilities`Private`t, {
PatternTest[
BlankSequence[], NumberQ]}] :>
Thread[{CalculateUtilities`GraphicsUtilities`Private`t,
CalculateUtilities`GraphicsUtilities`Private`t}]], {
Blank[], "",
BlankNullSequence[]}], All,
Span[1, 2]], Superscript[
Pattern[CalculateUtilities`GraphicsUtilities`Private`b,
Blank[Integer]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`p,
Blank[Integer]]] :>
CalculateUtilities`GraphicsUtilities`Private`b^
CalculateUtilities`GraphicsUtilities`Private`p], Row[{
Pattern[CalculateUtilities`GraphicsUtilities`Private`a,
BlankSequence[]]}, "\[Times]"] :>
Times[CalculateUtilities`GraphicsUtilities`Private`a]]; If[
MatchQ[
Part[
CalculateUtilities`GraphicsUtilities`Private`res, All, 2],
Condition[
Pattern[
CalculateUtilities`GraphicsUtilities`Private`quants, {
Alternatives[
BlankSequence[Global`ShortQuantity],
BlankSequence[Quantity]]}], Length[
Union[
Map[
Global`UnitObjectPart,
CalculateUtilities`GraphicsUtilities`Private`quants]]] ==
1]], CalculateUtilities`GraphicsUtilities`Private`\
unitformat = Global`ToCDFQuantityFunction[
Part[CalculateUtilities`GraphicsUtilities`Private`res, 1,
2]]; CalculateUtilities`GraphicsUtilities`Private`\
unitformat -> Thread[{
Part[
CalculateUtilities`GraphicsUtilities`Private`res, All, 1],
Global`QuantityPart[
Part[
CalculateUtilities`GraphicsUtilities`Private`res, All, 2],
Global`UnitObjectPart[
Part[
CalculateUtilities`GraphicsUtilities`Private`res, 1,
2]]]}],
CalculateUtilities`GraphicsUtilities`Private`res]];
Options[
CalculateUtilities`GraphicsUtilities`Private`post$2908212]\
= {"ReturnInteractiveTypes" -> False, "Nearest" -> Automatic};
CalculateUtilities`GraphicsUtilities`Private`post$2908212[
Pattern[CalculateUtilities`GraphicsUtilities`Private`g,
Blank[Graphics]],
OptionsPattern[]] := Check[
Module[{
CalculateUtilities`GraphicsUtilities`Private`lines,
CalculateUtilities`GraphicsUtilities`Private`pts,
CalculateUtilities`GraphicsUtilities`Private`gg,
CalculateUtilities`GraphicsUtilities`Private`type,
CalculateUtilities`GraphicsUtilities`Private`b,
CalculateUtilities`GraphicsUtilities`Private`l,
CalculateUtilities`GraphicsUtilities`Private`t,
CalculateUtilities`GraphicsUtilities`Private`r,
CalculateUtilities`GraphicsUtilities`Private`oldepilog,
CalculateUtilities`GraphicsUtilities`Private`range,
CalculateUtilities`GraphicsUtilities`Private`gridlines,
CalculateUtilities`GraphicsUtilities`Private`oldgridlines,
CalculateUtilities`GraphicsUtilities`Private`\
neareststyle = OptionValue["Nearest"]},
CalculateUtilities`GraphicsUtilities`Private`oldepilog =
Replace[
ReplaceAll[Epilog,
Options[CalculateUtilities`GraphicsUtilities`Private`g]],
Epilog -> Sequence[]]; Switch[
ReplaceAll[{Frame, Axes},
Options[
CalculateUtilities`GraphicsUtilities`Private`g]], {True,
Blank[]},
CalculateUtilities`GraphicsUtilities`Private`type =
Frame; {CalculateUtilities`GraphicsUtilities`Private`b,
CalculateUtilities`GraphicsUtilities`Private`l,
CalculateUtilities`GraphicsUtilities`Private`t,
CalculateUtilities`GraphicsUtilities`Private`r} =
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Frame,
ReplaceAll[FrameTicks,
Options[
CalculateUtilities`GraphicsUtilities`Private`g]]], {
Blank[], True},
CalculateUtilities`GraphicsUtilities`Private`type =
Axes; {CalculateUtilities`GraphicsUtilities`Private`b,
CalculateUtilities`GraphicsUtilities`Private`l} =
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Axes,
ReplaceAll[Ticks,
Options[CalculateUtilities`GraphicsUtilities`Private`g]]],
Blank[],
CalculateUtilities`GraphicsUtilities`Private`type = None];
If[
And[
CalculateUtilities`GraphicsUtilities`Private`type ===
Frame,
Or[
Not[
Or[
CalculateUtilities`GraphicsUtilities`Private`t === None,
CalculateUtilities`GraphicsUtilities`Private`b ===
CalculateUtilities`GraphicsUtilities`Private`t]],
Not[
Or[
CalculateUtilities`GraphicsUtilities`Private`r === None,
CalculateUtilities`GraphicsUtilities`Private`l ===
CalculateUtilities`GraphicsUtilities`Private`r]]]],
CalculateUtilities`GraphicsUtilities`Private`type = None];
If[
TrueQ[
OptionValue["ReturnInteractiveTypes"]],
Which[
Or[
CalculateUtilities`GraphicsUtilities`Private`type ===
None, CalculateUtilities`GraphicsUtilities`Private`b ===
None, CalculateUtilities`GraphicsUtilities`Private`l ===
None], {},
FreeQ[CalculateUtilities`GraphicsUtilities`Private`g,
Alternatives[Line, Point]], {}, True, {
"Tooltips", "Coordinates"}], If[
FreeQ[CalculateUtilities`GraphicsUtilities`Private`g,
Alternatives[Line, Point]],
Return[CalculateUtilities`GraphicsUtilities`Private`g]];
CalculateUtilities`GraphicsUtilities`Private`gg =
Normal[CalculateUtilities`GraphicsUtilities`Private`g];
CalculateUtilities`GraphicsUtilities`Private`pts =
Partition[
Flatten[
Cases[
Part[CalculateUtilities`GraphicsUtilities`Private`gg, 1],
Point[
Pattern[CalculateUtilities`GraphicsUtilities`Private`a,
Blank[]]] :>
CalculateUtilities`GraphicsUtilities`Private`a,
Infinity]], 2];
If[Length[
CalculateUtilities`GraphicsUtilities`Private`pts] < 2,
CalculateUtilities`GraphicsUtilities`Private`lines = Cases[
Part[CalculateUtilities`GraphicsUtilities`Private`gg, 1],
Blank[Line], Infinity];
If[CalculateUtilities`GraphicsUtilities`Private`lines === \
{},
Return[CalculateUtilities`GraphicsUtilities`Private`g]];
CalculateUtilities`GraphicsUtilities`Private`pts = Flatten[
Cases[
CalculateUtilities`GraphicsUtilities`Private`lines, Line[
Pattern[CalculateUtilities`GraphicsUtilities`Private`a,
Blank[]]] :>
CalculateUtilities`GraphicsUtilities`Private`a, Infinity],
1]; If[
CalculateUtilities`GraphicsUtilities`Private`neareststyle ===
Automatic, If[
CalculateUtilities`GraphicsUtilities`Private`orderedLines[
CalculateUtilities`GraphicsUtilities`Private`lines],
CalculateUtilities`GraphicsUtilities`Private`neareststyle =
"1D",
CalculateUtilities`GraphicsUtilities`Private`neareststyle =
"2D"]; Null],
If[
CalculateUtilities`GraphicsUtilities`Private`neareststyle ===
Automatic,
CalculateUtilities`GraphicsUtilities`Private`neareststyle =
"2D"]];
CalculateUtilities`GraphicsUtilities`Private`range =
Replace[
ReplaceAll[PlotRange,
Options[CalculateUtilities`GraphicsUtilities`Private`g]],
Except[{{
PatternTest[
Blank[], NumberQ],
PatternTest[
Blank[], NumberQ]}, {
PatternTest[
Blank[], NumberQ],
PatternTest[
Blank[], NumberQ]}}] :> {
Through[
{Min, Max}[
Part[
CalculateUtilities`GraphicsUtilities`Private`pts, All,
1]]],
Through[
{Min, Max}[
Part[
CalculateUtilities`GraphicsUtilities`Private`pts, All,
2]]]}]; CalculateUtilities`GraphicsUtilities`Private`b =
CalculateUtilities`GraphicsUtilities`Private`\
RefineCoordinateFunction[CalculateUtilities`GraphicsUtilities`Private`b,
First[CalculateUtilities`GraphicsUtilities`Private`range],
Part[
CalculateUtilities`GraphicsUtilities`Private`pts, All,
1]]; CalculateUtilities`GraphicsUtilities`Private`l =
CalculateUtilities`GraphicsUtilities`Private`\
RefineCoordinateFunction[CalculateUtilities`GraphicsUtilities`Private`l,
Last[CalculateUtilities`GraphicsUtilities`Private`range],
Part[
CalculateUtilities`GraphicsUtilities`Private`pts, All,
2]]; CalculateUtilities`GraphicsUtilities`Private`\
oldgridlines = ReplaceAll[GridLines,
Options[CalculateUtilities`GraphicsUtilities`Private`g]];
CalculateUtilities`GraphicsUtilities`Private`gridlines =
With[{CalculateUtilities`GraphicsUtilities`Private`gray =
GrayLevel[0.7]},
Replace[
CalculateUtilities`GraphicsUtilities`Private`oldgridlines,\
{Pattern[CalculateUtilities`GraphicsUtilities`Private`a, {
Blank[List],
Blank[List]}] :> Dynamic[
Join[CalculateUtilities`GraphicsUtilities`Private`a,
Replace[
MousePosition[{"Graphics", Graphics}, None], {
None -> {{}, {}}, {
Pattern[CalculateUtilities`GraphicsUtilities`Private`x,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`y,
Blank[]]} :> {{{
CalculateUtilities`GraphicsUtilities`Private`x,
CalculateUtilities`GraphicsUtilities`Private`gray}}, {{
CalculateUtilities`GraphicsUtilities`Private`y,
CalculateUtilities`GraphicsUtilities`Private`gray}}}}],
2]], {
Pattern[CalculateUtilities`GraphicsUtilities`Private`a,
Blank[List]], Automatic} :>
With[{CalculateUtilities`GraphicsUtilities`Private`\
divisions = {CalculateUtilities`GraphicsUtilities`Private`a,
FindDivisions[
Last[CalculateUtilities`GraphicsUtilities`Private`range],
7]}},
Dynamic[
Join[
CalculateUtilities`GraphicsUtilities`Private`divisions,
Replace[
MousePosition[{"Graphics", Graphics}, None], {
None -> {{}, {}}, {
Pattern[CalculateUtilities`GraphicsUtilities`Private`x,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`y,
Blank[]]} :> {{{
CalculateUtilities`GraphicsUtilities`Private`x,
CalculateUtilities`GraphicsUtilities`Private`gray}}, {{
CalculateUtilities`GraphicsUtilities`Private`y,
CalculateUtilities`GraphicsUtilities`Private`gray}}}}],
2]]], Blank[] -> Dynamic[
Map[{{#,
CalculateUtilities`GraphicsUtilities`Private`gray}}& ,
MousePosition[{"Graphics", Graphics}, None]]]}]]; If[
Or[
CalculateUtilities`GraphicsUtilities`Private`type ===
None, CalculateUtilities`GraphicsUtilities`Private`b ===
None, CalculateUtilities`GraphicsUtilities`Private`l ===
None],
Show[
CalculateUtilities`GraphicsUtilities`Private`g, GridLines ->
CalculateUtilities`GraphicsUtilities`Private`gridlines,
If[
MatchQ[
CalculateUtilities`GraphicsUtilities`Private`oldgridlines,
Alternatives[None, GridLines]],
Method -> {"GridLinesInFront" -> True},
Apply[Sequence, {}]]],
With[{CalculateUtilities`GraphicsUtilities`Private`nf =
If[CalculateUtilities`GraphicsUtilities`Private`\
neareststyle === "1D",
With[{CalculateUtilities`GraphicsUtilities`Private`n =
Nearest[Part[
CalculateUtilities`GraphicsUtilities`Private`pts, All, 1] ->
CalculateUtilities`GraphicsUtilities`Private`pts]},
CalculateUtilities`GraphicsUtilities`Private`n[
Part[#, 1]]& ],
With[{CalculateUtilities`GraphicsUtilities`Private`n =
Nearest[Transpose[Transpose[
CalculateUtilities`GraphicsUtilities`Private`pts]/Abs[
Apply[
Subtract,
CalculateUtilities`GraphicsUtilities`Private`range, {
1}]]] ->
CalculateUtilities`GraphicsUtilities`Private`pts],
CalculateUtilities`GraphicsUtilities`Private`scale = Abs[
Apply[
Subtract,
CalculateUtilities`GraphicsUtilities`Private`range, {
1}]]}, CalculateUtilities`GraphicsUtilities`Private`n[#/
CalculateUtilities`GraphicsUtilities`Private`scale]& ]],
CalculateUtilities`GraphicsUtilities`Private`left =
CalculateUtilities`GraphicsUtilities`Private`l,
CalculateUtilities`GraphicsUtilities`Private`bottom =
CalculateUtilities`GraphicsUtilities`Private`b},
Show[
CalculateUtilities`GraphicsUtilities`Private`g, GridLines ->
CalculateUtilities`GraphicsUtilities`Private`gridlines,
If[
MatchQ[
CalculateUtilities`GraphicsUtilities`Private`oldgridlines,
Alternatives[None, GridLines]],
Method -> {"GridLinesInFront" -> True},
Apply[Sequence, {}]],
Epilog -> {
CalculateUtilities`GraphicsUtilities`Private`oldepilog,
Dynamic[
DynamicModule[{
CalculateUtilities`GraphicsUtilities`Private`pt =
CalculateUtilities`GraphicsUtilities`Private`nf[
MousePosition[{"Graphics", Graphics}, {0, 0}]],
CalculateUtilities`GraphicsUtilities`Private`scaled =
MousePosition[{"GraphicsScaled", Graphics}, None]},
If[
CalculateUtilities`GraphicsUtilities`Private`scaled ===
None, {}, {
Text[
Style[
Row[{
CalculateUtilities`GraphicsUtilities`Private`bottom[
Part[
CalculateUtilities`GraphicsUtilities`Private`pt, 1, 1]],
CalculateUtilities`GraphicsUtilities`Private`left[
Part[
CalculateUtilities`GraphicsUtilities`Private`pt, 1, 2]]},
","], 12],
Part[
CalculateUtilities`GraphicsUtilities`Private`pt, 1], {
1.5 Sign[Part[
CalculateUtilities`GraphicsUtilities`Private`scaled, 1] -
0.5], 0}, Background -> White],
AbsolutePointSize[7],
Point[CalculateUtilities`GraphicsUtilities`Private`pt],
White,
AbsolutePointSize[5],
Point[
CalculateUtilities`GraphicsUtilities`Private`pt]}]]]}]]]]]\
, CalculateUtilities`GraphicsUtilities`Private`g];
CalculateUtilities`GraphicsUtilities`Private`post$2908212[
Pattern[CalculateUtilities`GraphicsUtilities`Private`g,
Blank[]],
BlankNullSequence[]] :=
CalculateUtilities`GraphicsUtilities`Private`g;
CalculateUtilities`GraphicsUtilities`Private`orderedLines[{
Pattern[CalculateUtilities`GraphicsUtilities`Private`l,
BlankSequence[Line]]}] :=
Module[{
CalculateUtilities`GraphicsUtilities`Private`ordered,
CalculateUtilities`GraphicsUtilities`Private`intervals},
CalculateUtilities`GraphicsUtilities`Private`ordered =
Apply[And,
Map[OrderedQ[
Part[#, 1, All, 1]]& ,
Hold[CalculateUtilities`GraphicsUtilities`Private`l]]]; If[
Not[
TrueQ[
CalculateUtilities`GraphicsUtilities`Private`ordered]],
Return[False]];
CalculateUtilities`GraphicsUtilities`Private`intervals =
Part[{CalculateUtilities`GraphicsUtilities`Private`l},
All, 1, {1, -1}, 1]; Length[
Apply[
Interval,
CalculateUtilities`GraphicsUtilities`Private`intervals]] ===
Length[CalculateUtilities`GraphicsUtilities`Private`\
intervals]];
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Frame,
Alternatives[Automatic, FrameTicks]] = {
Identity, Identity, Identity, Identity};
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Frame, {
Pattern[CalculateUtilities`GraphicsUtilities`Private`b,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`l,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`t,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`r,
Blank[]]}] :=
Map[CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction, {CalculateUtilities`GraphicsUtilities`Private`b,
CalculateUtilities`GraphicsUtilities`Private`l,
CalculateUtilities`GraphicsUtilities`Private`t,
CalculateUtilities`GraphicsUtilities`Private`r}];
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Frame, {{
Pattern[CalculateUtilities`GraphicsUtilities`Private`l,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`r,
Blank[]]}, {
Pattern[CalculateUtilities`GraphicsUtilities`Private`b,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`t,
Blank[]]}}] :=
Map[CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction, {CalculateUtilities`GraphicsUtilities`Private`b,
CalculateUtilities`GraphicsUtilities`Private`l,
CalculateUtilities`GraphicsUtilities`Private`t,
CalculateUtilities`GraphicsUtilities`Private`r}];
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Frame,
Blank[]] = {None, None, None, None};
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Axes,
Alternatives[Automatic, Ticks]] = {Identity, Identity};
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Axes, {
Pattern[CalculateUtilities`GraphicsUtilities`Private`h,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`v,
Blank[]]}] :=
Map[CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction, {CalculateUtilities`GraphicsUtilities`Private`h,
CalculateUtilities`GraphicsUtilities`Private`v}];
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Axes,
Blank[]] = {None, None};
CalculateUtilities`GraphicsUtilities`Private`CDFCleanTicks[
Pattern[
CalculateUtilities`GraphicsUtilities`Private`ticks,
Blank[]]] := ReplaceAll[
ReplaceAll[
Part[
DeleteCases[
ReplaceAll[
CalculateUtilities`GraphicsUtilities`Private`ticks,
Alternatives[Style, NumberForm] -> (#& )], {
Blank[], "",
BlankNullSequence[]}], All,
Span[1, 2]], Superscript[
Pattern[CalculateUtilities`GraphicsUtilities`Private`b,
Blank[Integer]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`p,
Blank[Integer]]] :>
CalculateUtilities`GraphicsUtilities`Private`b^
CalculateUtilities`GraphicsUtilities`Private`p], Row[{
Pattern[CalculateUtilities`GraphicsUtilities`Private`a,
BlankSequence[]]}, "\[Times]"] :>
Times[CalculateUtilities`GraphicsUtilities`Private`a]];
CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction[
Pattern[
CalculateUtilities`GraphicsUtilities`Private`ticks$,
Blank[]]] :=
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[
CalculateUtilities`GraphicsUtilities`Private`WACleanTicks[
CalculateUtilities`GraphicsUtilities`Private`ticks$]];
CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction[None] = None;
CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction[False] = None;
CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction[True] = None;
CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction[Automatic] = Identity;
CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction[All] = Identity;
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[Pattern[CalculateUtilities`GraphicsUtilities`Private`func,
Blank[]] ->
Pattern[
CalculateUtilities`GraphicsUtilities`Private`ticks,
Blank[]]] := Replace[
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[CalculateUtilities`GraphicsUtilities`Private`ticks],
Pattern[CalculateUtilities`GraphicsUtilities`Private`f,
Except[None]] :>
Composition[
CalculateUtilities`GraphicsUtilities`Private`func,
CalculateUtilities`GraphicsUtilities`Private`f]];
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[{}] = None;
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[
Pattern[
CalculateUtilities`GraphicsUtilities`Private`ticks, {
Repeated[{
Blank[Integer],
Blank[String]}]}]] := Which[
Quiet[
MatchQ[
Apply[SameQ,
Map[Part[
DateList[#],
Span[2, All]]& ,
CalculateUtilities`GraphicsUtilities`Private`ticks, {
2}], {1}], {
Repeated[True]}]], DateString,
Apply[And,
StringMatchQ[
Part[
CalculateUtilities`GraphicsUtilities`Private`ticks, All,
2], NumberString]],
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[
Transpose[{
Part[
CalculateUtilities`GraphicsUtilities`Private`ticks, All,
1],
ToExpression[
Part[
CalculateUtilities`GraphicsUtilities`Private`ticks, All,
2]]}]], True, None];
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[
Pattern[
CalculateUtilities`GraphicsUtilities`Private`ticks, {
Repeated[{
PatternTest[
Blank[], NumericQ],
PatternTest[
Blank[], NumericQ]}]}]] := Which[
MatchQ[
Apply[
Equal, CalculateUtilities`GraphicsUtilities`Private`ticks,\
{1}], {
Repeated[True]}], Identity,
MatchQ[
Apply[# == Log[#2]& ,
CalculateUtilities`GraphicsUtilities`Private`ticks, {1}], {
Repeated[True]}], Exp,
TrueQ[
Quiet[
Apply[Equal,
Apply[Divide, Transpose[
Rest[CalculateUtilities`GraphicsUtilities`Private`ticks]] -
Part[CalculateUtilities`GraphicsUtilities`Private`ticks,
1]]]]],
With[{CalculateUtilities`GraphicsUtilities`Private`slope =
Apply[Divide,
Apply[Subtract,
Part[
CalculateUtilities`GraphicsUtilities`Private`ticks, {-1,
1}]]]},
SetPrecision[(# - Part[
CalculateUtilities`GraphicsUtilities`Private`ticks, 1,
1])/CalculateUtilities`GraphicsUtilities`Private`slope +
Part[CalculateUtilities`GraphicsUtilities`Private`ticks,
1, 2], 3]& ], True, None];
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[
Blank[]] = None;
CalculateUtilities`GraphicsUtilities`Private`\
RefineCoordinateFunction[
Pattern[CalculateUtilities`GraphicsUtilities`Private`type,
Blank[]],
BlankNullSequence[]] :=
CalculateUtilities`GraphicsUtilities`Private`type;
CalculateUtilities`GraphicsUtilities`Private`\
RefineCoordinateFunction[Identity, {
Pattern[
CalculateUtilities`GraphicsUtilities`Private`min,
Blank[]],
Pattern[
CalculateUtilities`GraphicsUtilities`Private`max,
Blank[]]},
Blank[]] :=
With[{CalculateUtilities`GraphicsUtilities`Private`nf =
CalculateUtilities`GraphicsUtilities`Private`numberForm,
CalculateUtilities`GraphicsUtilities`Private`acc =
Floor[Max[
Ceiling[
FullSimplify[Log[10,
Max[
Abs[{CalculateUtilities`GraphicsUtilities`Private`min,
CalculateUtilities`GraphicsUtilities`Private`max}]]] -
Log[10, (CalculateUtilities`GraphicsUtilities`Private`max -
CalculateUtilities`GraphicsUtilities`Private`min)/100]]],
3] - RealExponent[
Max[
Abs[{CalculateUtilities`GraphicsUtilities`Private`min,
CalculateUtilities`GraphicsUtilities`Private`max}]]]]},
CalculateUtilities`GraphicsUtilities`Private`nf[#,
CalculateUtilities`GraphicsUtilities`Private`acc]& ];
CalculateUtilities`GraphicsUtilities`Private`\
RefineCoordinateFunction[Exp, {
Pattern[
CalculateUtilities`GraphicsUtilities`Private`min,
Blank[]],
Pattern[
CalculateUtilities`GraphicsUtilities`Private`max,
Blank[]]},
Blank[]] :=
With[{CalculateUtilities`GraphicsUtilities`Private`prec =
Max[
Ceiling[
FullSimplify[Log[10,
Max[
Abs[{CalculateUtilities`GraphicsUtilities`Private`min,
CalculateUtilities`GraphicsUtilities`Private`max}]]] -
Log[10, (CalculateUtilities`GraphicsUtilities`Private`max -
CalculateUtilities`GraphicsUtilities`Private`min)/100]]],
3]}, Quiet[
RawBoxes[
ToBoxes[
NumberForm[
Exp[#],
CalculateUtilities`GraphicsUtilities`Private`prec]]]]& ];
CalculateUtilities`GraphicsUtilities`Private`\
RefineCoordinateFunction[DateString, {
Pattern[
CalculateUtilities`GraphicsUtilities`Private`min,
Blank[]],
Pattern[
CalculateUtilities`GraphicsUtilities`Private`max,
Blank[]]},
Pattern[
CalculateUtilities`GraphicsUtilities`Private`pts,
Blank[]]] :=
Module[{
CalculateUtilities`GraphicsUtilities`Private`dates,
CalculateUtilities`GraphicsUtilities`Private`spec},
CalculateUtilities`GraphicsUtilities`Private`dates =
Map[DateList,
CalculateUtilities`GraphicsUtilities`Private`pts];
CalculateUtilities`GraphicsUtilities`Private`spec = Switch[
Map[Length,
Map[Union,
Transpose[
CalculateUtilities`GraphicsUtilities`Private`dates]]], {
Blank[], 1, 1,
BlankSequence[]}, {"Year"}, {
Blank[],
Blank[], 1,
BlankSequence[]}, {"MonthNameShort", " ", "Year"},
Blank[], {
"DayShort", " ", "MonthNameShort", " ", "Year"}];
If[(CalculateUtilities`GraphicsUtilities`Private`max -
CalculateUtilities`GraphicsUtilities`Private`min)/
31536000 > 25,
CalculateUtilities`GraphicsUtilities`Private`spec = {
"Year"}];
With[{CalculateUtilities`GraphicsUtilities`Private`s =
CalculateUtilities`GraphicsUtilities`Private`spec},
DateString[#,
CalculateUtilities`GraphicsUtilities`Private`s]& ]];
CalculateUtilities`GraphicsUtilities`Private`numberForm =
Function[{
CalculateUtilities`GraphicsUtilities`Private`a,
CalculateUtilities`GraphicsUtilities`Private`acc},
Quiet[
RawBoxes[
ToBoxes[
NumberForm[CalculateUtilities`GraphicsUtilities`Private`a,
Max[1,
Ceiling[
RealExponent[
CalculateUtilities`GraphicsUtilities`Private`a] +
CalculateUtilities`GraphicsUtilities`Private`acc]],
ExponentFunction -> (Null& ),
NumberFormat -> (StringReplace[#, StringExpression[
Pattern[CalculateUtilities`GraphicsUtilities`Private`s,
BlankSequence[]], ".", EndOfString] ->
CalculateUtilities`GraphicsUtilities`Private`s]& )]]]]]]],
ReleaseHold[
Uncompress[
"6:eJztVt9v0zAQbim/f8N/\
gMQzgrIHeEACOhiTBpSkvNeLL6mFawfb2Qb/PPjsJmnWrlJMB2hKH071pfl8991313t0KKO03+\
v19GVrPkhO02t4emjNSM5zWQj67iRXoDWTIr2Ez25aE4PZBU5+APW+q9a8l2pOjD+/\
wvcJTwpODHw1jDPDQE/\
3FMlnLNG1Z6zYkf3JlMuEcPYTHg9fPn0xHO54GIxlTIwBJfTztpD5TBENaQ+\
BrljzlhPxzR8flMdPBecxfC9AJKDvWe9EEWphpCAc8wm+9WIzdRsTM0RQoui50+\
TkOWp7gTaKiWwC8xzfOJusZ22Bicq05+ZOyc0mBfnwr+\
MDGbuYvMcl7c6OwLAwLhh9p2X1z7kb4Pl1W3glj9cTh/\
m94cgbMewI9CqdT1rXyTNSda2LfsHVec2XrQZ59pSp/\
5cOmDarYQzbhgHzQ1vj9dpbhd9pCy9z7PqFuO9a89k7SsB1w6ES3EdJC76IopnywEu0fbo6tw6Pcav\
iO0ZnSAUrnMjGWfaL64/7FXi9KcRYu+kWpCPqGRBBDtZFHbe7LGNmNCOKJBZ4cV2/\
bLKJrEMJuLN97ZmgzA4wT8im5QnNfrpUd2KS2Zc/\
Km4ll1NNhrzvCwMZqI2iv4H1UZZcQScyMJIYL2jqNZjDKqkxUcGyH5QgcU4EQ0j2y37cN/\
9wuRJI1Z5CdSnP4sCV5iQ8iX5Z4AMQmZk1d+\
zA0RXctphNJI9r1UUsTZenzfaY7jeZbtzQHOihJISWJHygd5tCtyn81U1hZQ/\
u1oRuTejWhG5N6NaE/3dNcBHjv9Jv5Pa4dg=="]]}; Typeset`initDone$$ = True),
DynamicModuleValues :> {}, Deinitialization :> None,
UntrackedVariables :> {Typeset`size$$},
SynchronousInitialization -> True,
UnsavedVariables :> {Typeset`initDone$$},
UndoTrackedVariables :> {
Typeset`show$$, Typeset`bookmarkMode$$}], "Manipulate",
Deployed -> True, StripOnInput -> False], TraditionalForm],
Manipulate`InterpretManipulate[1]], TraditionalForm]],
"Output", {
Background -> None,
GraphicsBoxOptions -> {
DefaultBaseStyle -> {FontFamily -> "Times", "Graphics"},
DefaultAxesStyle -> Directive[
GrayLevel[0, 0.35], FontColor -> GrayLevel[0.25], FontOpacity ->
1, "GraphicsAxes"], DefaultFrameStyle -> Directive[
GrayLevel[0, 0.35], FontColor -> GrayLevel[0.25], FontOpacity ->
1, "GraphicsFrame"], DefaultFrameTicksStyle ->
Directive[
FontFamily -> "Times", FontSize -> 10, "GraphicsFrameTicks"],
DefaultTicksStyle ->
Directive[
FontFamily -> "Times", FontSize -> 10, "GraphicsTicks"]},
Graphics3DBoxOptions -> {
DefaultBaseStyle -> {FontFamily -> "Times", "Graphics3D"}}},
NumberPoint -> ".", CellSize -> {550, Automatic},
AutoStyleOptions -> {"HighlightFormattingErrors" -> False},
RenderingOptions -> {
"3DRenderingMethod" -> "BSPTreeOrDepthBuffer"}]}],
XMLElement["dataformats", {}, {"minput"}]}],
XMLElement["subpod", {"title" -> ""}, {
XMLElement["minput", {}, {"Plot[Sin[x]/x, {x, -25, 25}]"}],
XMLElement["cell", {"compressed" -> True, "string" -> False}, {
Cell[
BoxData[
FormBox[
TagBox[
FormBox[
StyleBox[
DynamicModuleBox[{
CalculateUtilities`GraphicsUtilities`Private`max8876$$ = 0.5,
CalculateUtilities`GraphicsUtilities`Private`min8875$$ = \
-0.5, CalculateUtilities`GraphicsUtilities`Private`more$$ = False,
Typeset`show$$ = True, Typeset`bookmarkList$$ = {},
Typeset`bookmarkMode$$ = "Menu", Typeset`animator$$,
Typeset`animvar$$ = 1, Typeset`name$$ = "\"untitled\"",
Typeset`specs$$ = {{
Hold[
CalculateUtilities`GraphicsUtilities`Private`more$$], {
False, True}}, {{
Hold[
CalculateUtilities`GraphicsUtilities`Private`min8875$$], \
-0.5, "min"}, -1, 1}, {{
Hold[
CalculateUtilities`GraphicsUtilities`Private`max8876$$],
0.5, "max"}, -1, 1}, {
Hold[
Style[
Overlay[{
Dynamic[
RawBoxes[
FEPrivate`FrontEndResource[
"WABitmaps", "PodInfoBackground"]]],
Pane[
Column[{
Grid[{{
Manipulate`Place[1],
Manipulate`Place[2]}}]}],
ImageMargins -> {{20, 30}, {10, 10}}]}, {1, 2}, 2,
Alignment -> {Left, Top}]]],
Manipulate`Dump`ThisIsNotAControl}}, Typeset`size$$ =
Automatic, Typeset`update$$ = 0, Typeset`initDone$$ = False,
Typeset`skipInitDone$$ = False,
CalculateUtilities`GraphicsUtilities`Private`more$2908324$$ =
False, CalculateUtilities`GraphicsUtilities`Private`min8875$\
2908325$$ = 0, CalculateUtilities`GraphicsUtilities`Private`max8876$2908326$$ =
0},
DynamicBox[
Manipulate`ManipulateBoxes[
2, TraditionalForm,
"Variables" :> {
CalculateUtilities`GraphicsUtilities`Private`max8876$$ =
0.5, CalculateUtilities`GraphicsUtilities`Private`min8875$\
$ = -0.5, CalculateUtilities`GraphicsUtilities`Private`more$$ = False},
"ControllerVariables" :> {
Hold[
CalculateUtilities`GraphicsUtilities`Private`more$$,
CalculateUtilities`GraphicsUtilities`Private`more$2908324$\
$, False],
Hold[
CalculateUtilities`GraphicsUtilities`Private`min8875$$,
CalculateUtilities`GraphicsUtilities`Private`min8875$\
2908325$$, 0],
Hold[
CalculateUtilities`GraphicsUtilities`Private`max8876$$,
CalculateUtilities`GraphicsUtilities`Private`max8876$\
2908326$$, 0]}, "OtherVariables" :> {
Typeset`show$$, Typeset`bookmarkList$$,
Typeset`bookmarkMode$$, Typeset`animator$$,
Typeset`animvar$$, Typeset`name$$, Typeset`specs$$,
Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
Typeset`skipInitDone$$}, "Body" :> Quiet[
Function[Null,
CalculateUtilities`GraphicsUtilities`Private`post$2908304[
Plot[
SlotSequence[1], AspectRatio -> If[
TrueQ[
CalculateUtilities`GraphicsUtilities`Private`aspect],
Automatic, 1/GoldenRatio]]], HoldAll][
Global`x^(-1) Sin[Global`x], {Global`x,
If[
NumericQ[
CalculateUtilities`GraphicsUtilities`Private`min8875$$],
(
Piecewise[{{
0. + 26.868030533803417` Tan[1.5040801783846716` #], # <
0}}, 0. +
26.868030533803417` Tan[1.5040801783846716` #]]& )[
CalculateUtilities`GraphicsUtilities`Private`min8875$$], \
-25.132741228718345`],
If[
And[
NumericQ[
CalculateUtilities`GraphicsUtilities`Private`min8875$$],
NumericQ[
CalculateUtilities`GraphicsUtilities`Private`max8876$$]], \
(Piecewise[{{
0. + 26.868030533803417` Tan[1.5040801783846716` #], # <
0}}, 0. +
26.868030533803417` Tan[1.5040801783846716` #]]& )[
If[
CalculateUtilities`GraphicsUtilities`Private`min8875$$ ==
CalculateUtilities`GraphicsUtilities`Private`max8876$$,
CalculateUtilities`GraphicsUtilities`Private`min8875$$ +
0.05026548245743669,
CalculateUtilities`GraphicsUtilities`Private`max8876$$]],
25.132741228718345`]},
LabelStyle -> {FontFamily -> "Bitstream Charter"},
WorkingPrecision -> MachinePrecision, PlotRange ->
Automatic, LabelStyle -> {}, Ticks -> Automatic,
ImageSize -> {300.}, AxesLabel -> {
RawBoxes[
FormBox["x", TraditionalForm]],
RawBoxes[
FormBox["y", TraditionalForm]]}, AxesLabel -> {
RawBoxes[
FormBox["x", TraditionalForm]], None}]],
"Specifications" :> {{
CalculateUtilities`GraphicsUtilities`Private`more$$, {
False, True}, ControlType -> None}, {{
CalculateUtilities`GraphicsUtilities`Private`min8875$$, \
-0.5, "min"}, -1, 1, ImageSize -> Tiny, ControlPlacement -> 1}, {{
CalculateUtilities`GraphicsUtilities`Private`max8876$$,
0.5, "max"}, -1, 1, ImageSize -> Tiny, ControlPlacement ->
2},
Style[
Overlay[{
Dynamic[
RawBoxes[
FEPrivate`FrontEndResource[
"WABitmaps", "PodInfoBackground"]]],
Pane[
Column[{
Grid[{{
Manipulate`Place[1],
Manipulate`Place[2]}}]}],
ImageMargins -> {{20, 30}, {10, 10}}]}, {1, 2}, 2,
Alignment -> {Left, Top}]]},
"Options" :> {
ControlPlacement -> Bottom,
FrameMargins -> {{0, 0}, {0, 10}}, Paneled -> False,
AppearanceElements -> {},
LabelStyle -> {
"DialogStyle", FontColor -> GrayLevel[0.25]}},
"DefaultOptions" :> {}], SingleEvaluation -> True],
Initialization :> ({
ReleaseHold[
Hold[
CalculateUtilities`GraphicsUtilities`Private`WACleanTicks[
Pattern[
CalculateUtilities`GraphicsUtilities`Private`ticks,
Blank[]]] :=
Module[{
CalculateUtilities`GraphicsUtilities`Private`res,
CalculateUtilities`GraphicsUtilities`Private`unitformat},
CalculateUtilities`GraphicsUtilities`Private`res =
ReplaceAll[
ReplaceAll[
Part[
DeleteCases[
Replace[
ReplaceAll[
CalculateUtilities`GraphicsUtilities`Private`ticks,
Alternatives[Style, Global`UnitNumberForm,
NumberForm] -> (#& )],
Pattern[CalculateUtilities`GraphicsUtilities`Private`t, {
PatternTest[
BlankSequence[], NumberQ]}] :>
Thread[{CalculateUtilities`GraphicsUtilities`Private`t,
CalculateUtilities`GraphicsUtilities`Private`t}]], {
Blank[], "",
BlankNullSequence[]}], All,
Span[1, 2]], Superscript[
Pattern[CalculateUtilities`GraphicsUtilities`Private`b,
Blank[Integer]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`p,
Blank[Integer]]] :>
CalculateUtilities`GraphicsUtilities`Private`b^
CalculateUtilities`GraphicsUtilities`Private`p], Row[{
Pattern[CalculateUtilities`GraphicsUtilities`Private`a,
BlankSequence[]]}, "\[Times]"] :>
Times[CalculateUtilities`GraphicsUtilities`Private`a]]; If[
MatchQ[
Part[
CalculateUtilities`GraphicsUtilities`Private`res, All, 2],
Condition[
Pattern[
CalculateUtilities`GraphicsUtilities`Private`quants, {
Alternatives[
BlankSequence[Global`ShortQuantity],
BlankSequence[Quantity]]}], Length[
Union[
Map[
Global`UnitObjectPart,
CalculateUtilities`GraphicsUtilities`Private`quants]]] ==
1]], CalculateUtilities`GraphicsUtilities`Private`\
unitformat = Global`ToCDFQuantityFunction[
Part[
CalculateUtilities`GraphicsUtilities`Private`res, 1, 2]];
CalculateUtilities`GraphicsUtilities`Private`unitformat ->
Thread[{
Part[
CalculateUtilities`GraphicsUtilities`Private`res, All, 1],
Global`QuantityPart[
Part[
CalculateUtilities`GraphicsUtilities`Private`res, All, 2],
Global`UnitObjectPart[
Part[
CalculateUtilities`GraphicsUtilities`Private`res, 1,
2]]]}],
CalculateUtilities`GraphicsUtilities`Private`res]];
Options[
CalculateUtilities`GraphicsUtilities`Private`post$2908304]\
= {"ReturnInteractiveTypes" -> False, "Nearest" -> Automatic};
CalculateUtilities`GraphicsUtilities`Private`post$2908304[
Pattern[CalculateUtilities`GraphicsUtilities`Private`g,
Blank[Graphics]],
OptionsPattern[]] := Check[
Module[{
CalculateUtilities`GraphicsUtilities`Private`lines,
CalculateUtilities`GraphicsUtilities`Private`pts,
CalculateUtilities`GraphicsUtilities`Private`gg,
CalculateUtilities`GraphicsUtilities`Private`type,
CalculateUtilities`GraphicsUtilities`Private`b,
CalculateUtilities`GraphicsUtilities`Private`l,
CalculateUtilities`GraphicsUtilities`Private`t,
CalculateUtilities`GraphicsUtilities`Private`r,
CalculateUtilities`GraphicsUtilities`Private`oldepilog,
CalculateUtilities`GraphicsUtilities`Private`range,
CalculateUtilities`GraphicsUtilities`Private`gridlines,
CalculateUtilities`GraphicsUtilities`Private`oldgridlines,
CalculateUtilities`GraphicsUtilities`Private`\
neareststyle = OptionValue["Nearest"]},
CalculateUtilities`GraphicsUtilities`Private`oldepilog =
Replace[
ReplaceAll[Epilog,
Options[CalculateUtilities`GraphicsUtilities`Private`g]],
Epilog -> Sequence[]]; Switch[
ReplaceAll[{Frame, Axes},
Options[
CalculateUtilities`GraphicsUtilities`Private`g]], {True,
Blank[]},
CalculateUtilities`GraphicsUtilities`Private`type =
Frame; {CalculateUtilities`GraphicsUtilities`Private`b,
CalculateUtilities`GraphicsUtilities`Private`l,
CalculateUtilities`GraphicsUtilities`Private`t,
CalculateUtilities`GraphicsUtilities`Private`r} =
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Frame,
ReplaceAll[FrameTicks,
Options[
CalculateUtilities`GraphicsUtilities`Private`g]]], {
Blank[], True},
CalculateUtilities`GraphicsUtilities`Private`type =
Axes; {CalculateUtilities`GraphicsUtilities`Private`b,
CalculateUtilities`GraphicsUtilities`Private`l} =
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Axes,
ReplaceAll[Ticks,
Options[CalculateUtilities`GraphicsUtilities`Private`g]]],
Blank[],
CalculateUtilities`GraphicsUtilities`Private`type = None];
If[
And[
CalculateUtilities`GraphicsUtilities`Private`type ===
Frame,
Or[
Not[
Or[
CalculateUtilities`GraphicsUtilities`Private`t === None,
CalculateUtilities`GraphicsUtilities`Private`b ===
CalculateUtilities`GraphicsUtilities`Private`t]],
Not[
Or[
CalculateUtilities`GraphicsUtilities`Private`r === None,
CalculateUtilities`GraphicsUtilities`Private`l ===
CalculateUtilities`GraphicsUtilities`Private`r]]]],
CalculateUtilities`GraphicsUtilities`Private`type = None];
If[
TrueQ[
OptionValue["ReturnInteractiveTypes"]],
Which[
Or[
CalculateUtilities`GraphicsUtilities`Private`type ===
None, CalculateUtilities`GraphicsUtilities`Private`b ===
None, CalculateUtilities`GraphicsUtilities`Private`l ===
None], {},
FreeQ[CalculateUtilities`GraphicsUtilities`Private`g,
Alternatives[Line, Point]], {}, True, {
"Tooltips", "Coordinates"}], If[
FreeQ[CalculateUtilities`GraphicsUtilities`Private`g,
Alternatives[Line, Point]],
Return[CalculateUtilities`GraphicsUtilities`Private`g]];
CalculateUtilities`GraphicsUtilities`Private`gg =
Normal[CalculateUtilities`GraphicsUtilities`Private`g];
CalculateUtilities`GraphicsUtilities`Private`pts =
Partition[
Flatten[
Cases[
Part[CalculateUtilities`GraphicsUtilities`Private`gg, 1],
Point[
Pattern[CalculateUtilities`GraphicsUtilities`Private`a,
Blank[]]] :>
CalculateUtilities`GraphicsUtilities`Private`a,
Infinity]], 2];
If[Length[
CalculateUtilities`GraphicsUtilities`Private`pts] < 2,
CalculateUtilities`GraphicsUtilities`Private`lines = Cases[
Part[CalculateUtilities`GraphicsUtilities`Private`gg, 1],
Blank[Line], Infinity];
If[CalculateUtilities`GraphicsUtilities`Private`lines === \
{},
Return[CalculateUtilities`GraphicsUtilities`Private`g]];
CalculateUtilities`GraphicsUtilities`Private`pts = Flatten[
Cases[
CalculateUtilities`GraphicsUtilities`Private`lines, Line[
Pattern[CalculateUtilities`GraphicsUtilities`Private`a,
Blank[]]] :>
CalculateUtilities`GraphicsUtilities`Private`a, Infinity],
1]; If[
CalculateUtilities`GraphicsUtilities`Private`neareststyle ===
Automatic, If[
CalculateUtilities`GraphicsUtilities`Private`orderedLines[
CalculateUtilities`GraphicsUtilities`Private`lines],
CalculateUtilities`GraphicsUtilities`Private`neareststyle =
"1D", CalculateUtilities`GraphicsUtilities`Private`\
neareststyle = "2D"]; Null],
If[
CalculateUtilities`GraphicsUtilities`Private`neareststyle ===
Automatic,
CalculateUtilities`GraphicsUtilities`Private`neareststyle =
"2D"]];
CalculateUtilities`GraphicsUtilities`Private`range =
Replace[
ReplaceAll[PlotRange,
Options[CalculateUtilities`GraphicsUtilities`Private`g]],
Except[{{
PatternTest[
Blank[], NumberQ],
PatternTest[
Blank[], NumberQ]}, {
PatternTest[
Blank[], NumberQ],
PatternTest[
Blank[], NumberQ]}}] :> {
Through[
{Min, Max}[
Part[
CalculateUtilities`GraphicsUtilities`Private`pts, All,
1]]],
Through[
{Min, Max}[
Part[
CalculateUtilities`GraphicsUtilities`Private`pts, All,
2]]]}]; CalculateUtilities`GraphicsUtilities`Private`b =
CalculateUtilities`GraphicsUtilities`Private`\
RefineCoordinateFunction[CalculateUtilities`GraphicsUtilities`Private`b,
First[CalculateUtilities`GraphicsUtilities`Private`range],
Part[
CalculateUtilities`GraphicsUtilities`Private`pts, All,
1]]; CalculateUtilities`GraphicsUtilities`Private`l =
CalculateUtilities`GraphicsUtilities`Private`\
RefineCoordinateFunction[CalculateUtilities`GraphicsUtilities`Private`l,
Last[CalculateUtilities`GraphicsUtilities`Private`range],
Part[
CalculateUtilities`GraphicsUtilities`Private`pts, All,
2]]; CalculateUtilities`GraphicsUtilities`Private`\
oldgridlines = ReplaceAll[GridLines,
Options[CalculateUtilities`GraphicsUtilities`Private`g]];
CalculateUtilities`GraphicsUtilities`Private`gridlines =
With[{CalculateUtilities`GraphicsUtilities`Private`gray =
GrayLevel[0.7]},
Replace[
CalculateUtilities`GraphicsUtilities`Private`oldgridlines,\
{Pattern[CalculateUtilities`GraphicsUtilities`Private`a, {
Blank[List],
Blank[List]}] :> Dynamic[
Join[CalculateUtilities`GraphicsUtilities`Private`a,
Replace[
MousePosition[{"Graphics", Graphics}, None], {
None -> {{}, {}}, {
Pattern[CalculateUtilities`GraphicsUtilities`Private`x,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`y,
Blank[]]} :> {{{
CalculateUtilities`GraphicsUtilities`Private`x,
CalculateUtilities`GraphicsUtilities`Private`gray}}, {{
CalculateUtilities`GraphicsUtilities`Private`y,
CalculateUtilities`GraphicsUtilities`Private`gray}}}}],
2]], {
Pattern[CalculateUtilities`GraphicsUtilities`Private`a,
Blank[List]], Automatic} :>
With[{CalculateUtilities`GraphicsUtilities`Private`\
divisions = {CalculateUtilities`GraphicsUtilities`Private`a,
FindDivisions[
Last[CalculateUtilities`GraphicsUtilities`Private`range],
7]}},
Dynamic[
Join[
CalculateUtilities`GraphicsUtilities`Private`divisions,
Replace[
MousePosition[{"Graphics", Graphics}, None], {
None -> {{}, {}}, {
Pattern[CalculateUtilities`GraphicsUtilities`Private`x,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`y,
Blank[]]} :> {{{
CalculateUtilities`GraphicsUtilities`Private`x,
CalculateUtilities`GraphicsUtilities`Private`gray}}, {{
CalculateUtilities`GraphicsUtilities`Private`y,
CalculateUtilities`GraphicsUtilities`Private`gray}}}}],
2]]], Blank[] -> Dynamic[
Map[{{#,
CalculateUtilities`GraphicsUtilities`Private`gray}}& ,
MousePosition[{"Graphics", Graphics}, None]]]}]]; If[
Or[
CalculateUtilities`GraphicsUtilities`Private`type ===
None, CalculateUtilities`GraphicsUtilities`Private`b ===
None, CalculateUtilities`GraphicsUtilities`Private`l ===
None],
Show[
CalculateUtilities`GraphicsUtilities`Private`g, GridLines ->
CalculateUtilities`GraphicsUtilities`Private`gridlines,
If[
MatchQ[
CalculateUtilities`GraphicsUtilities`Private`oldgridlines,
Alternatives[None, GridLines]],
Method -> {"GridLinesInFront" -> True},
Apply[Sequence, {}]]],
With[{CalculateUtilities`GraphicsUtilities`Private`nf =
If[CalculateUtilities`GraphicsUtilities`Private`\
neareststyle === "1D",
With[{CalculateUtilities`GraphicsUtilities`Private`n =
Nearest[Part[
CalculateUtilities`GraphicsUtilities`Private`pts, All, 1] ->
CalculateUtilities`GraphicsUtilities`Private`pts]},
CalculateUtilities`GraphicsUtilities`Private`n[
Part[#, 1]]& ],
With[{CalculateUtilities`GraphicsUtilities`Private`n =
Nearest[Transpose[Transpose[
CalculateUtilities`GraphicsUtilities`Private`pts]/Abs[
Apply[
Subtract,
CalculateUtilities`GraphicsUtilities`Private`range, {
1}]]] ->
CalculateUtilities`GraphicsUtilities`Private`pts],
CalculateUtilities`GraphicsUtilities`Private`scale = Abs[
Apply[
Subtract,
CalculateUtilities`GraphicsUtilities`Private`range, {
1}]]}, CalculateUtilities`GraphicsUtilities`Private`n[#/
CalculateUtilities`GraphicsUtilities`Private`scale]& ]],
CalculateUtilities`GraphicsUtilities`Private`left =
CalculateUtilities`GraphicsUtilities`Private`l,
CalculateUtilities`GraphicsUtilities`Private`bottom =
CalculateUtilities`GraphicsUtilities`Private`b},
Show[
CalculateUtilities`GraphicsUtilities`Private`g, GridLines ->
CalculateUtilities`GraphicsUtilities`Private`gridlines,
If[
MatchQ[
CalculateUtilities`GraphicsUtilities`Private`oldgridlines,
Alternatives[None, GridLines]],
Method -> {"GridLinesInFront" -> True},
Apply[Sequence, {}]],
Epilog -> {
CalculateUtilities`GraphicsUtilities`Private`oldepilog,
Dynamic[
DynamicModule[{
CalculateUtilities`GraphicsUtilities`Private`pt =
CalculateUtilities`GraphicsUtilities`Private`nf[
MousePosition[{"Graphics", Graphics}, {0, 0}]],
CalculateUtilities`GraphicsUtilities`Private`scaled =
MousePosition[{"GraphicsScaled", Graphics}, None]},
If[
CalculateUtilities`GraphicsUtilities`Private`scaled ===
None, {}, {
Text[
Style[
Row[{
CalculateUtilities`GraphicsUtilities`Private`bottom[
Part[
CalculateUtilities`GraphicsUtilities`Private`pt, 1, 1]],
CalculateUtilities`GraphicsUtilities`Private`left[
Part[
CalculateUtilities`GraphicsUtilities`Private`pt, 1, 2]]},
","], 12],
Part[
CalculateUtilities`GraphicsUtilities`Private`pt, 1], {
1.5 Sign[Part[
CalculateUtilities`GraphicsUtilities`Private`scaled, 1] -
0.5], 0}, Background -> White],
AbsolutePointSize[7],
Point[CalculateUtilities`GraphicsUtilities`Private`pt],
White,
AbsolutePointSize[5],
Point[
CalculateUtilities`GraphicsUtilities`Private`pt]}]]]}]]]]]\
, CalculateUtilities`GraphicsUtilities`Private`g];
CalculateUtilities`GraphicsUtilities`Private`post$2908304[
Pattern[CalculateUtilities`GraphicsUtilities`Private`g,
Blank[]],
BlankNullSequence[]] :=
CalculateUtilities`GraphicsUtilities`Private`g;
CalculateUtilities`GraphicsUtilities`Private`orderedLines[{
Pattern[CalculateUtilities`GraphicsUtilities`Private`l,
BlankSequence[Line]]}] :=
Module[{
CalculateUtilities`GraphicsUtilities`Private`ordered,
CalculateUtilities`GraphicsUtilities`Private`intervals},
CalculateUtilities`GraphicsUtilities`Private`ordered =
Apply[And,
Map[OrderedQ[
Part[#, 1, All, 1]]& ,
Hold[CalculateUtilities`GraphicsUtilities`Private`l]]]; If[
Not[
TrueQ[
CalculateUtilities`GraphicsUtilities`Private`ordered]],
Return[False]];
CalculateUtilities`GraphicsUtilities`Private`intervals =
Part[{CalculateUtilities`GraphicsUtilities`Private`l},
All, 1, {1, -1}, 1]; Length[
Apply[
Interval,
CalculateUtilities`GraphicsUtilities`Private`intervals]] ===
Length[CalculateUtilities`GraphicsUtilities`Private`\
intervals]];
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Frame,
Alternatives[Automatic, FrameTicks]] = {
Identity, Identity, Identity, Identity};
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Frame, {
Pattern[CalculateUtilities`GraphicsUtilities`Private`b,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`l,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`t,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`r,
Blank[]]}] :=
Map[CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction, {CalculateUtilities`GraphicsUtilities`Private`b,
CalculateUtilities`GraphicsUtilities`Private`l,
CalculateUtilities`GraphicsUtilities`Private`t,
CalculateUtilities`GraphicsUtilities`Private`r}];
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Frame, {{
Pattern[CalculateUtilities`GraphicsUtilities`Private`l,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`r,
Blank[]]}, {
Pattern[CalculateUtilities`GraphicsUtilities`Private`b,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`t,
Blank[]]}}] :=
Map[CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction, {CalculateUtilities`GraphicsUtilities`Private`b,
CalculateUtilities`GraphicsUtilities`Private`l,
CalculateUtilities`GraphicsUtilities`Private`t,
CalculateUtilities`GraphicsUtilities`Private`r}];
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Frame,
Blank[]] = {None, None, None, None};
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Axes,
Alternatives[Automatic, Ticks]] = {Identity, Identity};
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Axes, {
Pattern[CalculateUtilities`GraphicsUtilities`Private`h,
Blank[]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`v,
Blank[]]}] :=
Map[CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction, {CalculateUtilities`GraphicsUtilities`Private`h,
CalculateUtilities`GraphicsUtilities`Private`v}];
CalculateUtilities`GraphicsUtilities`Private`\
ScaleCoordinatesToTicks[Axes,
Blank[]] = {None, None};
CalculateUtilities`GraphicsUtilities`Private`CDFCleanTicks[
Pattern[
CalculateUtilities`GraphicsUtilities`Private`ticks,
Blank[]]] := ReplaceAll[
ReplaceAll[
Part[
DeleteCases[
ReplaceAll[
CalculateUtilities`GraphicsUtilities`Private`ticks,
Alternatives[Style, NumberForm] -> (#& )], {
Blank[], "",
BlankNullSequence[]}], All,
Span[1, 2]], Superscript[
Pattern[CalculateUtilities`GraphicsUtilities`Private`b,
Blank[Integer]],
Pattern[CalculateUtilities`GraphicsUtilities`Private`p,
Blank[Integer]]] :>
CalculateUtilities`GraphicsUtilities`Private`b^
CalculateUtilities`GraphicsUtilities`Private`p], Row[{
Pattern[CalculateUtilities`GraphicsUtilities`Private`a,
BlankSequence[]]}, "\[Times]"] :>
Times[CalculateUtilities`GraphicsUtilities`Private`a]];
CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction[
Pattern[
CalculateUtilities`GraphicsUtilities`Private`ticks$,
Blank[]]] :=
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[
CalculateUtilities`GraphicsUtilities`Private`WACleanTicks[
CalculateUtilities`GraphicsUtilities`Private`ticks$]];
CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction[None] = None;
CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction[False] = None;
CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction[True] = None;
CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction[Automatic] = Identity;
CalculateUtilities`GraphicsUtilities`Private`\
TicksToFunction[All] = Identity;
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[Pattern[CalculateUtilities`GraphicsUtilities`Private`func,
Blank[]] ->
Pattern[
CalculateUtilities`GraphicsUtilities`Private`ticks,
Blank[]]] := Replace[
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[CalculateUtilities`GraphicsUtilities`Private`ticks],
Pattern[CalculateUtilities`GraphicsUtilities`Private`f,
Except[None]] :>
Composition[
CalculateUtilities`GraphicsUtilities`Private`func,
CalculateUtilities`GraphicsUtilities`Private`f]];
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[{}] = None;
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[
Pattern[
CalculateUtilities`GraphicsUtilities`Private`ticks, {
Repeated[{
Blank[Integer],
Blank[String]}]}]] := Which[
Quiet[
MatchQ[
Apply[SameQ,
Map[Part[
DateList[#],
Span[2, All]]& ,
CalculateUtilities`GraphicsUtilities`Private`ticks, {
2}], {1}], {
Repeated[True]}]], DateString,
Apply[And,
StringMatchQ[
Part[
CalculateUtilities`GraphicsUtilities`Private`ticks, All,
2], NumberString]],
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[
Transpose[{
Part[
CalculateUtilities`GraphicsUtilities`Private`ticks, All,
1],
ToExpression[
Part[
CalculateUtilities`GraphicsUtilities`Private`ticks, All,
2]]}]], True, None];
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[
Pattern[
CalculateUtilities`GraphicsUtilities`Private`ticks, {
Repeated[{
PatternTest[
Blank[], NumericQ],
PatternTest[
Blank[], NumericQ]}]}]] := Which[
MatchQ[
Apply[
Equal, CalculateUtilities`GraphicsUtilities`Private`ticks,\
{1}], {
Repeated[True]}], Identity,
MatchQ[
Apply[# == Log[#2]& ,
CalculateUtilities`GraphicsUtilities`Private`ticks, {1}], {
Repeated[True]}], Exp,
TrueQ[
Quiet[
Apply[Equal,
Apply[Divide, Transpose[
Rest[CalculateUtilities`GraphicsUtilities`Private`ticks]] -
Part[CalculateUtilities`GraphicsUtilities`Private`ticks,
1]]]]],
With[{CalculateUtilities`GraphicsUtilities`Private`slope =
Apply[Divide,
Apply[Subtract,
Part[
CalculateUtilities`GraphicsUtilities`Private`ticks, {-1,
1}]]]},
SetPrecision[(# - Part[
CalculateUtilities`GraphicsUtilities`Private`ticks, 1,
1])/CalculateUtilities`GraphicsUtilities`Private`slope +
Part[CalculateUtilities`GraphicsUtilities`Private`ticks,
1, 2], 3]& ], True, None];
CalculateUtilities`GraphicsUtilities`Private`\
iTicksToFunction[
Blank[]] = None;
CalculateUtilities`GraphicsUtilities`Private`\
RefineCoordinateFunction[
Pattern[CalculateUtilities`GraphicsUtilities`Private`type,
Blank[]],
BlankNullSequence[]] :=
CalculateUtilities`GraphicsUtilities`Private`type;
CalculateUtilities`GraphicsUtilities`Private`\
RefineCoordinateFunction[Identity, {
Pattern[
CalculateUtilities`GraphicsUtilities`Private`min,
Blank[]],
Pattern[
CalculateUtilities`GraphicsUtilities`Private`max,
Blank[]]},
Blank[]] :=
With[{CalculateUtilities`GraphicsUtilities`Private`nf =
CalculateUtilities`GraphicsUtilities`Private`numberForm,
CalculateUtilities`GraphicsUtilities`Private`acc =
Floor[Max[
Ceiling[
FullSimplify[Log[10,
Max[
Abs[{CalculateUtilities`GraphicsUtilities`Private`min,
CalculateUtilities`GraphicsUtilities`Private`max}]]] -
Log[10, (CalculateUtilities`GraphicsUtilities`Private`max -
CalculateUtilities`GraphicsUtilities`Private`min)/100]]],
3] - RealExponent[
Max[
Abs[{CalculateUtilities`GraphicsUtilities`Private`min,
CalculateUtilities`GraphicsUtilities`Private`max}]]]]},
CalculateUtilities`GraphicsUtilities`Private`nf[#,
CalculateUtilities`GraphicsUtilities`Private`acc]& ];
CalculateUtilities`GraphicsUtilities`Private`\
RefineCoordinateFunction[Exp, {
Pattern[
CalculateUtilities`GraphicsUtilities`Private`min,
Blank[]],
Pattern[
CalculateUtilities`GraphicsUtilities`Private`max,
Blank[]]},
Blank[]] :=
With[{CalculateUtilities`GraphicsUtilities`Private`prec =
Max[
Ceiling[
FullSimplify[Log[10,
Max[
Abs[{CalculateUtilities`GraphicsUtilities`Private`min,
CalculateUtilities`GraphicsUtilities`Private`max}]]] -
Log[10, (CalculateUtilities`GraphicsUtilities`Private`max -
CalculateUtilities`GraphicsUtilities`Private`min)/100]]],
3]}, Quiet[
RawBoxes[
ToBoxes[
NumberForm[
Exp[#],
CalculateUtilities`GraphicsUtilities`Private`prec]]]]& ];
CalculateUtilities`GraphicsUtilities`Private`\
RefineCoordinateFunction[DateString, {
Pattern[
CalculateUtilities`GraphicsUtilities`Private`min,
Blank[]],
Pattern[
CalculateUtilities`GraphicsUtilities`Private`max,
Blank[]]},
Pattern[
CalculateUtilities`GraphicsUtilities`Private`pts,
Blank[]]] :=
Module[{
CalculateUtilities`GraphicsUtilities`Private`dates,
CalculateUtilities`GraphicsUtilities`Private`spec},
CalculateUtilities`GraphicsUtilities`Private`dates =
Map[DateList,
CalculateUtilities`GraphicsUtilities`Private`pts];
CalculateUtilities`GraphicsUtilities`Private`spec = Switch[
Map[Length,
Map[Union,
Transpose[
CalculateUtilities`GraphicsUtilities`Private`dates]]], {
Blank[], 1, 1,
BlankSequence[]}, {"Year"}, {
Blank[],
Blank[], 1,
BlankSequence[]}, {"MonthNameShort", " ", "Year"},
Blank[], {
"DayShort", " ", "MonthNameShort", " ", "Year"}];
If[(CalculateUtilities`GraphicsUtilities`Private`max -
CalculateUtilities`GraphicsUtilities`Private`min)/
31536000 > 25,
CalculateUtilities`GraphicsUtilities`Private`spec = {
"Year"}];
With[{CalculateUtilities`GraphicsUtilities`Private`s =
CalculateUtilities`GraphicsUtilities`Private`spec},
DateString[#,
CalculateUtilities`GraphicsUtilities`Private`s]& ]];
CalculateUtilities`GraphicsUtilities`Private`numberForm =
Function[{
CalculateUtilities`GraphicsUtilities`Private`a,
CalculateUtilities`GraphicsUtilities`Private`acc},
Quiet[
RawBoxes[
ToBoxes[
NumberForm[CalculateUtilities`GraphicsUtilities`Private`a,
Max[1,
Ceiling[
RealExponent[
CalculateUtilities`GraphicsUtilities`Private`a] +
CalculateUtilities`GraphicsUtilities`Private`acc]],
ExponentFunction -> (Null& ),
NumberFormat -> (StringReplace[#, StringExpression[
Pattern[CalculateUtilities`GraphicsUtilities`Private`s,
BlankSequence[]], ".", EndOfString] ->
CalculateUtilities`GraphicsUtilities`Private`s]& )]]]]]]],
ReleaseHold[
Uncompress[
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Typeset`initDone$$ = True), DynamicModuleValues :> {},
Deinitialization :> None,
UntrackedVariables :> {Typeset`size$$},
SynchronousInitialization -> True,
UnsavedVariables :> {Typeset`initDone$$},
UndoTrackedVariables :> {
Typeset`show$$, Typeset`bookmarkMode$$}], "Manipulate",
Deployed -> True, StripOnInput -> False], TraditionalForm],
Manipulate`InterpretManipulate[1]], TraditionalForm]],
"Output", {
Background -> None,
GraphicsBoxOptions -> {
DefaultBaseStyle -> {FontFamily -> "Times", "Graphics"},
DefaultAxesStyle -> Directive[
GrayLevel[0, 0.35], FontColor -> GrayLevel[0.25], FontOpacity ->
1, "GraphicsAxes"], DefaultFrameStyle -> Directive[
GrayLevel[0, 0.35], FontColor -> GrayLevel[0.25], FontOpacity ->
1, "GraphicsFrame"], DefaultFrameTicksStyle ->
Directive[
FontFamily -> "Times", FontSize -> 10, "GraphicsFrameTicks"],
DefaultTicksStyle ->
Directive[
FontFamily -> "Times", FontSize -> 10, "GraphicsTicks"]},
Graphics3DBoxOptions -> {
DefaultBaseStyle -> {FontFamily -> "Times", "Graphics3D"}}},
NumberPoint -> ".", CellSize -> {550, Automatic},
AutoStyleOptions -> {"HighlightFormattingErrors" -> False},
RenderingOptions -> {
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XMLElement["dataformats", {}, {"minput"}]}]}], Typeset`aux1$$ = {
True, False, {False}, True}, Typeset`aux2$$ = {True, False, {False}, True},
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True, Typeset`queryinfo$$ = {
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"0.6960000000000001", "parsetiming" -> "0.435", "parsetimedout" ->
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"MSPa6561ec3f73a307e7581000063h4d626dha6c7ga", "host" ->
"http://www4b.wolframalpha.com", "server" -> "32", "related" ->
"http://www4b.wolframalpha.com/api/v2/relatedQueries.jsp?id=\
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Typeset`failedpods$$ = {}, Typeset`chosen$$ = {
"Plot", "Plots", 1, 2, "Input", "Plot[Sin[x]/x, {x, -9.4, 9.4}]"},
Typeset`open$$ = False, Typeset`newq$$ = "plot sin(x)/x"},
DynamicBox[ToBoxes[
AlphaIntegration`FormatAlphaResults[
Dynamic[{
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Typeset`chosen$$, Typeset`open$$, Typeset`elements$$, Typeset`q$$,
Typeset`opts$$, Typeset`nonpods$$, Typeset`queryinfo$$,
Typeset`sessioninfo$$, Typeset`showpods$$, Typeset`failedpods$$,
Typeset`newq$$}]], StandardForm],
ImageSizeCache->{254., {49., 17.}},
TrackedSymbols:>{Typeset`showpods$$, Typeset`failedpods$$}],
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WolframAlphaClient`Private`doAsyncUpdates[
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Dynamic[Typeset`failedpods$$]]; Typeset`asyncpods$$ = {};
Typeset`initdone$$ = True],
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DeleteWithContents->True,
Editable->False,
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