added plot script
This commit is contained in:
parent
3096c57395
commit
86a3496cf3
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<component name="MarkdownNavigator.ProfileManager">
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||||||
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<settings default="" pdf-export="" plain-text-search-scope="!predefined.scope.project.files.name!" />
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</component>
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||||||
87
presentation/plots/.idea/misc.xml
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87
presentation/plots/.idea/misc.xml
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<?xml version="1.0" encoding="UTF-8"?>
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||||||
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<project version="4">
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<component name="MarkdownProjectSettings" wasCopied="true">
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<PreviewSettings splitEditorLayout="SPLIT" splitEditorPreview="PREVIEW" useGrayscaleRendering="false" zoomFactor="1.0" maxImageWidth="0" showGitHubPageIfSynced="false" allowBrowsingInPreview="false" synchronizePreviewPosition="true" highlightPreviewType="NONE" highlightFadeOut="5" highlightOnTyping="true" synchronizeSourcePosition="true" verticallyAlignSourceAndPreviewSyncPosition="true" showSearchHighlightsInPreview="false" showSelectionInPreview="true" openRemoteLinks="true" replaceUnicodeEmoji="false" lastLayoutSetsDefault="false">
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||||||
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<PanelProvider>
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||||||
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<provider providerId="com.vladsch.idea.multimarkdown.editor.swing.html.panel" providerName="Default - Swing" />
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||||||
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</PanelProvider>
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||||||
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</PreviewSettings>
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||||||
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<ParserSettings gitHubSyntaxChange="false" emojiShortcuts="1" emojiImages="0">
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<PegdownExtensions>
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||||||
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<option name="ABBREVIATIONS" value="false" />
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<option name="ANCHORLINKS" value="true" />
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<option name="ASIDE" value="false" />
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<option name="ATXHEADERSPACE" value="true" />
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||||||
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<option name="AUTOLINKS" value="false" />
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||||||
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<option name="DEFINITIONS" value="false" />
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||||||
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<option name="DEFINITION_BREAK_DOUBLE_BLANK_LINE" value="false" />
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||||||
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<option name="FENCED_CODE_BLOCKS" value="true" />
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||||||
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<option name="FOOTNOTES" value="false" />
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||||||
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<option name="HARDWRAPS" value="false" />
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||||||
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<option name="HTML_DEEP_PARSER" value="false" />
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<option name="INSERTED" value="false" />
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<option name="QUOTES" value="false" />
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<option name="RELAXEDHRULES" value="true" />
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<option name="SMARTS" value="false" />
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||||||
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<option name="STRIKETHROUGH" value="true" />
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||||||
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<option name="SUBSCRIPT" value="false" />
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<option name="SUPERSCRIPT" value="false" />
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||||||
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<option name="SUPPRESS_HTML_BLOCKS" value="false" />
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<option name="SUPPRESS_INLINE_HTML" value="false" />
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||||||
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<option name="TABLES" value="true" />
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||||||
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<option name="TASKLISTITEMS" value="true" />
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||||||
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<option name="TOC" value="false" />
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||||||
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<option name="WIKILINKS" value="false" />
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||||||
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</PegdownExtensions>
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||||||
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<ParserOptions>
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||||||
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<option name="ADMONITION_EXT" value="false" />
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||||||
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<option name="ATTRIBUTES_EXT" value="false" />
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||||||
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<option name="COMMONMARK_LISTS" value="true" />
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||||||
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<option name="DUMMY" value="false" />
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||||||
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<option name="EMOJI_SHORTCUTS" value="true" />
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<option name="ENUMERATED_REFERENCES_EXT" value="false" />
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<option name="FLEXMARK_FRONT_MATTER" value="false" />
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<option name="GFM_LOOSE_BLANK_LINE_AFTER_ITEM_PARA" value="false" />
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||||||
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<option name="GFM_TABLE_RENDERING" value="true" />
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<option name="GITBOOK_URL_ENCODING" value="false" />
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<option name="GITHUB_LISTS" value="false" />
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||||||
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<option name="GITHUB_WIKI_LINKS" value="false" />
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||||||
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<option name="GITLAB_EXT" value="false" />
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||||||
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<option name="GITLAB_MATH_EXT" value="false" />
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<option name="GITLAB_MERMAID_EXT" value="false" />
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<option name="HEADER_ID_NON_ASCII_TO_LOWERCASE" value="false" />
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<option name="HEADER_ID_NO_DUPED_DASHES" value="false" />
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<option name="JEKYLL_FRONT_MATTER" value="false" />
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||||||
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<option name="MACROS_EXT" value="false" />
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<option name="NO_TEXT_ATTRIBUTES" value="false" />
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<option name="PARSE_HTML_ANCHOR_ID" value="false" />
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<option name="PLANTUML_FENCED_CODE" value="false" />
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<option name="PUML_FENCED_CODE" value="false" />
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||||||
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<option name="SIM_TOC_BLANK_LINE_SPACER" value="true" />
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</ParserOptions>
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</ParserSettings>
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<HtmlSettings headerTopEnabled="false" headerBottomEnabled="false" bodyTopEnabled="false" bodyBottomEnabled="false" embedUrlContent="false" addPageHeader="true" embedImages="false" embedHttpImages="false" imageUriSerials="false" addDocTypeHtml="true" noParaTags="false" plantUmlConversion="0" mathConversion="0">
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<GeneratorProvider>
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<provider providerId="com.vladsch.idea.multimarkdown.editor.swing.html.generator" providerName="Default Swing HTML Generator" />
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</GeneratorProvider>
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<headerTop />
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<headerBottom />
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<bodyTop />
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<bodyBottom />
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</HtmlSettings>
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<CssSettings previewScheme="UI_SCHEME" cssUri="" isCssUriEnabled="false" isCssUriSerial="true" isCssTextEnabled="false" isDynamicPageWidth="true">
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<StylesheetProvider>
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<provider providerId="com.vladsch.idea.multimarkdown.editor.swing.html.css" providerName="Default Swing Stylesheet" />
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</StylesheetProvider>
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<ScriptProviders />
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<cssText />
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<cssUriHistory />
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</CssSettings>
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<AnnotatorSettings targetHasSpaces="true" linkCaseMismatch="true" wikiCaseMismatch="true" wikiLinkHasDashes="true" notUnderWikiHome="true" targetNotWikiPageExt="true" notUnderSourceWikiHome="true" targetNameHasAnchor="true" targetPathHasAnchor="true" wikiLinkHasSlash="true" wikiLinkHasSubdir="true" wikiLinkHasOnlyAnchor="true" linkTargetsWikiHasExt="true" linkTargetsWikiHasBadExt="true" notUnderSameRepo="true" targetNotUnderVcs="false" linkNeedsExt="true" linkHasBadExt="true" linkTargetNeedsExt="true" linkTargetHasBadExt="true" wikiLinkNotInWiki="true" imageTargetNotInRaw="true" repoRelativeAcrossVcsRoots="true" multipleWikiTargetsMatch="true" unresolvedLinkReference="true" linkIsIgnored="true" anchorIsIgnored="true" anchorIsUnresolved="true" anchorLineReferenceIsUnresolved="true" anchorLineReferenceFormat="true" anchorHasDuplicates="true" abbreviationDuplicates="true" abbreviationNotUsed="true" attributeIdDuplicateDefinition="true" attributeIdNotUsed="true" footnoteDuplicateDefinition="true" footnoteUnresolved="true" footnoteDuplicates="true" footnoteNotUsed="true" macroDuplicateDefinition="true" macroUnresolved="true" macroDuplicates="true" macroNotUsed="true" referenceDuplicateDefinition="true" referenceUnresolved="true" referenceDuplicates="true" referenceNotUsed="true" referenceUnresolvedNumericId="true" enumRefDuplicateDefinition="true" enumRefUnresolved="true" enumRefDuplicates="true" enumRefNotUsed="true" enumRefLinkUnresolved="true" enumRefLinkDuplicates="true" simTocUpdateNeeded="true" simTocTitleSpaceNeeded="true" />
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<HtmlExportSettings updateOnSave="false" parentDir="" targetDir="" cssDir="css" scriptDir="js" plainHtml="false" imageDir="" copyLinkedImages="false" imageUniquifyType="0" targetPathType="2" targetExt="" useTargetExt="false" noCssNoScripts="false" useElementStyleAttribute="false" linkToExportedHtml="true" exportOnSettingsChange="true" regenerateOnProjectOpen="false" linkFormatType="HTTP_ABSOLUTE" />
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<LinkMapSettings>
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<textMaps />
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</LinkMapSettings>
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</component>
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<component name="ProjectRootManager" version="2" project-jdk-name="Python 2.7.12 (/usr/bin/python2.7)" project-jdk-type="Python SDK" />
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</project>
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8
presentation/plots/.idea/modules.xml
Normal file
8
presentation/plots/.idea/modules.xml
Normal file
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="ProjectModuleManager">
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<modules>
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<module fileurl="file://$PROJECT_DIR$/.idea/plots.iml" filepath="$PROJECT_DIR$/.idea/plots.iml" />
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</modules>
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</component>
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</project>
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12
presentation/plots/.idea/plots.iml
Normal file
12
presentation/plots/.idea/plots.iml
Normal file
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<?xml version="1.0" encoding="UTF-8"?>
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<module type="PYTHON_MODULE" version="4">
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<component name="NewModuleRootManager">
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<content url="file://$MODULE_DIR$" />
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<orderEntry type="inheritedJdk" />
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<orderEntry type="sourceFolder" forTests="false" />
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</component>
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<component name="TestRunnerService">
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<option name="projectConfiguration" value="Nosetests" />
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<option name="PROJECT_TEST_RUNNER" value="Nosetests" />
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</component>
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</module>
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248
presentation/plots/.idea/workspace.xml
Normal file
248
presentation/plots/.idea/workspace.xml
Normal file
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@ -0,0 +1,248 @@
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="ChangeListManager">
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<list default="true" id="7a4972e2-7a88-4336-a24f-0b70ac5a3df4" name="Default" comment="" />
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<option name="EXCLUDED_CONVERTED_TO_IGNORED" value="true" />
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<option name="TRACKING_ENABLED" value="true" />
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<option name="SHOW_DIALOG" value="false" />
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<option name="HIGHLIGHT_CONFLICTS" value="true" />
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<option name="HIGHLIGHT_NON_ACTIVE_CHANGELIST" value="false" />
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<option name="LAST_RESOLUTION" value="IGNORE" />
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</component>
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<component name="CoverageDataManager">
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<SUITE FILE_PATH="coverage/plots$chirp.coverage" NAME="chirp Coverage Results" MODIFIED="1574788500854" SOURCE_PROVIDER="com.intellij.coverage.DefaultCoverageFileProvider" RUNNER="coverage.py" COVERAGE_BY_TEST_ENABLED="true" COVERAGE_TRACING_ENABLED="false" WORKING_DIRECTORY="$PROJECT_DIR$" />
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</component>
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<component name="FileEditorManager">
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<leaf>
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<file leaf-file-name="chirp.py" pinned="false" current-in-tab="true">
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<entry file="file://$PROJECT_DIR$/chirp.py">
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<provider selected="true" editor-type-id="text-editor">
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<state relative-caret-position="324">
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<caret line="24" column="30" lean-forward="true" selection-start-line="24" selection-start-column="30" selection-end-line="24" selection-end-column="30" />
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<folding>
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<element signature="e#0#43#0" expanded="true" />
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</folding>
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</state>
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</provider>
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</entry>
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</file>
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<file leaf-file-name="text.py" pinned="false" current-in-tab="false">
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<entry file="file://$USER_HOME$/.local/lib/python2.7/site-packages/matplotlib/text.py">
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<provider selected="true" editor-type-id="text-editor">
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||||||
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<state relative-caret-position="176">
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||||||
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<caret line="190" column="0" lean-forward="false" selection-start-line="190" selection-start-column="0" selection-end-line="190" selection-end-column="0" />
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||||||
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<folding />
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</state>
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</provider>
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</entry>
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</file>
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<file leaf-file-name="spectral.py" pinned="false" current-in-tab="false">
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<entry file="file://$USER_HOME$/.local/lib/python2.7/site-packages/scipy/signal/spectral.py">
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||||||
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<provider selected="true" editor-type-id="text-editor">
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||||||
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<state relative-caret-position="1580">
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||||||
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<caret line="1572" column="0" lean-forward="false" selection-start-line="1572" selection-start-column="0" selection-end-line="1572" selection-end-column="0" />
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<folding />
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||||||
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</state>
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</provider>
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</entry>
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</file>
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<file leaf-file-name="waveforms.py" pinned="false" current-in-tab="false">
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<entry file="file://$USER_HOME$/.local/lib/python2.7/site-packages/scipy/signal/waveforms.py">
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||||||
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<provider selected="true" editor-type-id="text-editor">
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||||||
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<state relative-caret-position="176">
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||||||
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<caret line="443" column="0" lean-forward="false" selection-start-line="443" selection-start-column="0" selection-end-line="443" selection-end-column="0" />
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||||||
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<folding />
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||||||
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</state>
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||||||
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</provider>
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||||||
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</entry>
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</file>
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||||||
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</leaf>
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||||||
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</component>
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||||||
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<component name="IdeDocumentHistory">
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||||||
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<option name="CHANGED_PATHS">
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||||||
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<list>
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||||||
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<option value="$PROJECT_DIR$/chirp.py" />
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||||||
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</list>
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||||||
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</option>
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||||||
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</component>
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||||||
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<component name="JsBuildToolGruntFileManager" detection-done="true" sorting="DEFINITION_ORDER" />
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||||||
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<component name="JsBuildToolPackageJson" detection-done="true" sorting="DEFINITION_ORDER" />
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||||||
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<component name="JsGulpfileManager">
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||||||
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<detection-done>true</detection-done>
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||||||
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<sorting>DEFINITION_ORDER</sorting>
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||||||
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</component>
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||||||
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<component name="ProjectFrameBounds" extendedState="4">
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||||||
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<option name="x" value="-1910" />
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||||||
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<option name="y" value="-1056" />
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||||||
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<option name="width" value="1141" />
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||||||
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<option name="height" value="1056" />
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||||||
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</component>
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||||||
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<component name="ProjectView">
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||||||
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<navigator currentView="ProjectPane" proportions="" version="1">
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||||||
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<flattenPackages />
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||||||
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<showMembers />
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||||||
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<showModules />
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||||||
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<showLibraryContents />
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||||||
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<hideEmptyPackages />
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||||||
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<abbreviatePackageNames />
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||||||
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<autoscrollToSource />
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||||||
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<autoscrollFromSource />
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||||||
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<sortByType />
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||||||
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<manualOrder />
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||||||
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<foldersAlwaysOnTop value="true" />
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||||||
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</navigator>
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||||||
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<panes>
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||||||
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<pane id="Scope" />
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||||||
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<pane id="ProjectPane">
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||||||
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<subPane>
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||||||
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<expand>
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||||||
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<path>
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||||||
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<item name="plots" type="b2602c69:ProjectViewProjectNode" />
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||||||
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<item name="plots" type="462c0819:PsiDirectoryNode" />
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||||||
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</path>
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||||||
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</expand>
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||||||
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<select />
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||||||
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</subPane>
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||||||
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</pane>
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||||||
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<pane id="Scratches" />
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||||||
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</panes>
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||||||
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</component>
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||||||
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<component name="PropertiesComponent">
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||||||
|
<property name="settings.editor.selected.configurable" value="com.jetbrains.python.configuration.PyActiveSdkModuleConfigurable" />
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||||||
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<property name="last_opened_file_path" value="$USER_HOME$/firedrake/firedrake" />
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||||||
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<property name="WebServerToolWindowFactoryState" value="false" />
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||||||
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</component>
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||||||
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<component name="RunDashboard">
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||||||
|
<option name="ruleStates">
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||||||
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<list>
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||||||
|
<RuleState>
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||||||
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<option name="name" value="ConfigurationTypeDashboardGroupingRule" />
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||||||
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</RuleState>
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||||||
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<RuleState>
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||||||
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<option name="name" value="StatusDashboardGroupingRule" />
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||||||
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</RuleState>
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||||||
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</list>
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||||||
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</option>
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||||||
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</component>
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||||||
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<component name="RunManager" selected="Python.chirp">
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||||||
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<configuration name="chirp" type="PythonConfigurationType" factoryName="Python" temporary="true">
|
||||||
|
<option name="INTERPRETER_OPTIONS" value="" />
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||||||
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<option name="PARENT_ENVS" value="true" />
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||||||
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<envs>
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||||||
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<env name="PYTHONUNBUFFERED" value="1" />
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||||||
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</envs>
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||||||
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<option name="SDK_HOME" value="" />
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||||||
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<option name="WORKING_DIRECTORY" value="$PROJECT_DIR$" />
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||||||
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<option name="IS_MODULE_SDK" value="true" />
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||||||
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<option name="ADD_CONTENT_ROOTS" value="true" />
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||||||
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<option name="ADD_SOURCE_ROOTS" value="true" />
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||||||
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<module name="plots" />
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||||||
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<EXTENSION ID="PythonCoverageRunConfigurationExtension" enabled="false" sample_coverage="true" runner="coverage.py" />
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||||||
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<option name="SCRIPT_NAME" value="$PROJECT_DIR$/chirp.py" />
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||||||
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<option name="PARAMETERS" value="" />
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||||||
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<option name="SHOW_COMMAND_LINE" value="false" />
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||||||
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<option name="EMULATE_TERMINAL" value="false" />
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||||||
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</configuration>
|
||||||
|
<recent_temporary>
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||||||
|
<list size="1">
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||||||
|
<item index="0" class="java.lang.String" itemvalue="Python.chirp" />
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||||||
|
</list>
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||||||
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</recent_temporary>
|
||||||
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</component>
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||||||
|
<component name="ShelveChangesManager" show_recycled="false">
|
||||||
|
<option name="remove_strategy" value="false" />
|
||||||
|
</component>
|
||||||
|
<component name="TaskManager">
|
||||||
|
<task active="true" id="Default" summary="Default task">
|
||||||
|
<changelist id="7a4972e2-7a88-4336-a24f-0b70ac5a3df4" name="Default" comment="" />
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||||||
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<created>1574774363804</created>
|
||||||
|
<option name="number" value="Default" />
|
||||||
|
<option name="presentableId" value="Default" />
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||||||
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<updated>1574774363804</updated>
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||||||
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</task>
|
||||||
|
<servers />
|
||||||
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</component>
|
||||||
|
<component name="ToolWindowManager">
|
||||||
|
<frame x="-1910" y="-1056" width="1141" height="1056" extended-state="4" />
|
||||||
|
<editor active="true" />
|
||||||
|
<layout>
|
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|
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BIN
presentation/plots/amplitude_modulation.png
Normal file
BIN
presentation/plots/amplitude_modulation.png
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|
After Width: | Height: | Size: 41 KiB |
BIN
presentation/plots/chirp.png
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BIN
presentation/plots/chirp.png
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|
After Width: | Height: | Size: 75 KiB |
193
presentation/plots/chirp.py
Normal file
193
presentation/plots/chirp.py
Normal file
|
|
@ -0,0 +1,193 @@
|
||||||
|
from scipy.signal import chirp, spectrogram
|
||||||
|
import numpy as np
|
||||||
|
import matplotlib.pyplot as plt
|
||||||
|
|
||||||
|
def amp_freq_mod():
|
||||||
|
# amplitude modulation
|
||||||
|
t = np.linspace(0, 20 * np.pi, 1000, endpoint=False)
|
||||||
|
t1 = t[0:200]
|
||||||
|
t2 = t[200:600]
|
||||||
|
t3 = t[600:800]
|
||||||
|
t4 = t[800:]
|
||||||
|
|
||||||
|
plt.figure(1)
|
||||||
|
signal_unmod = np.sin(t)
|
||||||
|
plt.plot(t, signal_unmod)
|
||||||
|
plt.title("Unmodulated signal")
|
||||||
|
plt.xlabel('time')
|
||||||
|
plt.ylabel('Amplitude')
|
||||||
|
plt.tight_layout()
|
||||||
|
plt.savefig('unmodulated.png')
|
||||||
|
plt.show()
|
||||||
|
|
||||||
|
plt.figure(2)
|
||||||
|
signal_ampmod = np.hstack((np.sin(t1), 0.2 * np.sin(t2), np.sin(t3), 0.2 * np.sin(t4)))
|
||||||
|
plt.plot(t, signal_ampmod)
|
||||||
|
plt.title("Amplitude modulation")
|
||||||
|
plt.xlabel('time')
|
||||||
|
plt.ylabel('Amplitude')
|
||||||
|
plt.tight_layout()
|
||||||
|
plt.savefig('amplitude_modulation.png')
|
||||||
|
plt.show()
|
||||||
|
|
||||||
|
# frequency modulation
|
||||||
|
plt.figure(3)
|
||||||
|
signal_ampmod = np.hstack((np.sin(t1), np.sin(0.5*t2), np.sin(t3), np.sin(0.5*t4)))
|
||||||
|
plt.plot(t, signal_ampmod)
|
||||||
|
plt.title("Frequency modulation")
|
||||||
|
plt.xlabel('time')
|
||||||
|
plt.ylabel('Amplitude')
|
||||||
|
plt.tight_layout()
|
||||||
|
plt.savefig('frequency_modulation.png')
|
||||||
|
plt.show()
|
||||||
|
|
||||||
|
def chirps():
|
||||||
|
# chirp example
|
||||||
|
fs = 8000
|
||||||
|
T = 10
|
||||||
|
t = np.linspace(0, T, T*fs, endpoint=False)
|
||||||
|
|
||||||
|
upchirp = chirp(t, f0=0, f1=5, t1=10, method='linear')
|
||||||
|
plt.figure(1)
|
||||||
|
plt.plot(t, upchirp)
|
||||||
|
plt.title("Chirp")
|
||||||
|
plt.xlabel('time')
|
||||||
|
plt.ylabel('Amplitude')
|
||||||
|
plt.tight_layout()
|
||||||
|
plt.savefig('chirp.png')
|
||||||
|
plt.show()
|
||||||
|
|
||||||
|
|
||||||
|
#######################################
|
||||||
|
# LoRa chirps
|
||||||
|
fs = 8000
|
||||||
|
T = 10
|
||||||
|
t = np.linspace(0, T, T*fs, endpoint=False)
|
||||||
|
|
||||||
|
upchirp = chirp(t, f0=250, f1=1750, t1=10, method='linear')
|
||||||
|
|
||||||
|
ff, tt, Sxx = spectrogram(upchirp, fs=fs, noverlap=256, nperseg=512,
|
||||||
|
nfft=2048)
|
||||||
|
|
||||||
|
# Chirp explanation
|
||||||
|
plt.figure(2)
|
||||||
|
plt.yticks([250, 1000, 1750], ['f_start', 'f_center', 'f_end'] )
|
||||||
|
plt.xticks([0,10], [0, 't_symb'])
|
||||||
|
plt.pcolormesh(tt, ff[:513], Sxx[:513])
|
||||||
|
plt.title("Chirp spectrogram")
|
||||||
|
plt.xlabel('time')
|
||||||
|
plt.ylabel('frequency')
|
||||||
|
plt.tight_layout()
|
||||||
|
plt.savefig('chirp_spectrogram.png')
|
||||||
|
plt.show()
|
||||||
|
|
||||||
|
# LoRa upchirp
|
||||||
|
plt.figure(3)
|
||||||
|
plt.yticks([250, 1000, 1750], ['868.1 MHz - 62.5 kHz', '868.1 MHz', '868.1 MHz + 62.5 kHz'] )
|
||||||
|
plt.xticks([0,10], [0, 't_symb'])
|
||||||
|
plt.pcolormesh(tt, ff[:513], Sxx[:513])
|
||||||
|
plt.title("LoRa Up-Chirp")
|
||||||
|
plt.xlabel('time')
|
||||||
|
plt.ylabel('frequency')
|
||||||
|
plt.tight_layout()
|
||||||
|
plt.savefig('lora_upchirp.png')
|
||||||
|
plt.show()
|
||||||
|
|
||||||
|
|
||||||
|
# downchirp
|
||||||
|
downchirp = chirp(t, f0=1750, f1=250, t1=10, method='linear')
|
||||||
|
|
||||||
|
ff, tt, Sxx = spectrogram(downchirp, fs=fs, noverlap=256, nperseg=512,
|
||||||
|
nfft=2048)
|
||||||
|
|
||||||
|
|
||||||
|
plt.figure(4)
|
||||||
|
plt.yticks([250, 1000, 1750], ['868.1 MHz - 62.5 kHz', '868.1 MHz', '868.1 MHz + 62.5 kHz'] )
|
||||||
|
plt.xticks([0,10], [0, 't_symb'])
|
||||||
|
plt.pcolormesh(tt, ff[:513], Sxx[:513])
|
||||||
|
plt.title("LoRa Down-Chirp")
|
||||||
|
plt.xlabel('time')
|
||||||
|
plt.ylabel('frequency')
|
||||||
|
plt.tight_layout()
|
||||||
|
plt.savefig('lora_downchirp.png')
|
||||||
|
plt.show()
|
||||||
|
|
||||||
|
def symbol():
|
||||||
|
# symbol example
|
||||||
|
fs = 8000
|
||||||
|
T = 10
|
||||||
|
t = np.linspace(0, T, T*fs, endpoint=False)
|
||||||
|
|
||||||
|
fracs = [0.7, 0.7, 0.99, 0.9, 0.8, 0.5]
|
||||||
|
for i in range(0,6):
|
||||||
|
frac = fracs[i]
|
||||||
|
t_jump = T * (1 - frac)
|
||||||
|
|
||||||
|
# 250, 500, 750, 1000, 1250, 1500, 1750
|
||||||
|
t1 = (frac)*T
|
||||||
|
|
||||||
|
symbol_p1 = chirp(t[0:int(frac*len(t))], f0=250, f1=1750, t1=T, method='linear')
|
||||||
|
symbol_p2 = chirp(t[int(frac*len(t)):], f0=250, f1=1750, t1=T, method='linear')
|
||||||
|
symbol = np.hstack((symbol_p2, symbol_p1))
|
||||||
|
ff, tt, Sxx = spectrogram(symbol, fs=fs, noverlap=256, nperseg=512,
|
||||||
|
nfft=2048)
|
||||||
|
|
||||||
|
#chirp = np.hstack((upchirp, upchirp))
|
||||||
|
#ff, tt, Sxx = spectrogram(chirp, fs=fs, noverlap=256, nperseg=512,
|
||||||
|
# nfft=2048)
|
||||||
|
|
||||||
|
plt.figure(5)
|
||||||
|
plt.yticks([250, 1000, 1750], ['868.1 MHz - 62.5 kHz', '868.1 MHz', '868.1 MHz + 62.5 kHz'] )
|
||||||
|
plt.pcolormesh(tt, ff[:513], Sxx[:513])
|
||||||
|
if i > 0:
|
||||||
|
plt.xticks([0, t_jump], [0, 't_jump'])
|
||||||
|
plt.plot([t_jump, t_jump], [0, 2000.0], 'r')
|
||||||
|
else:
|
||||||
|
plt.xticks([0, t_jump], [0, 't_jump'])
|
||||||
|
plt.gca().tick_params(axis='x', colors='white')
|
||||||
|
plt.title("LoRa Symbol")
|
||||||
|
plt.xlabel('time')
|
||||||
|
plt.ylabel('frequency')
|
||||||
|
plt.tight_layout()
|
||||||
|
plt.savefig('lora_symbols_{}.png'.format(i))
|
||||||
|
plt.show()
|
||||||
|
|
||||||
|
|
||||||
|
def spreading_factor():
|
||||||
|
fs = 8000
|
||||||
|
T = 400
|
||||||
|
t = np.linspace(0, T, T * fs, endpoint=False)
|
||||||
|
|
||||||
|
chirps = np.array([0])
|
||||||
|
for i in range(3,-1,-1):
|
||||||
|
t_final = len(t)/2**i
|
||||||
|
chirp1 = chirp(t[0:t_final], f0=250, f1=1750, t1=T/2**i, method='linear')
|
||||||
|
|
||||||
|
chirps = np.hstack((chirps, chirp1))
|
||||||
|
|
||||||
|
ff, tt, Sxx = spectrogram(chirps, fs=fs, noverlap=256, nperseg=512,
|
||||||
|
nfft=2048)
|
||||||
|
|
||||||
|
plt.figure(5)
|
||||||
|
plt.yticks([250, 1000, 1750], ['868.1 MHz - 62.5 kHz', '868.1 MHz', '868.1 MHz + 62.5 kHz'])
|
||||||
|
plt.pcolormesh(tt, ff[:513], Sxx[:513])
|
||||||
|
|
||||||
|
plt.title("LoRa Spreading Factors")
|
||||||
|
plt.xlabel('time')
|
||||||
|
plt.ylabel('frequency')
|
||||||
|
plt.xticks([], [])
|
||||||
|
plt.gca().set_aspect(0.28)
|
||||||
|
|
||||||
|
for i in range(0,4):
|
||||||
|
plt.text(tt[int(2.0**i/2.0**3 * len(tt)-1)], 1800.0, 'SF = {}'.format(i + 7), color='white', horizontalalignment='right')
|
||||||
|
|
||||||
|
plt.tight_layout()
|
||||||
|
plt.savefig('lora_spreading_factors.png', dpi=400.0)
|
||||||
|
plt.show()
|
||||||
|
pass
|
||||||
|
|
||||||
|
|
||||||
|
#symbol()
|
||||||
|
spreading_factor()
|
||||||
|
|
||||||
|
plt.show()
|
||||||
BIN
presentation/plots/chirp_spectrogram.png
Normal file
BIN
presentation/plots/chirp_spectrogram.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 31 KiB |
BIN
presentation/plots/frequency_modulation.png
Normal file
BIN
presentation/plots/frequency_modulation.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 46 KiB |
BIN
presentation/plots/lora_downchirp.png
Normal file
BIN
presentation/plots/lora_downchirp.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 36 KiB |
BIN
presentation/plots/lora_spreading_factors.png
Normal file
BIN
presentation/plots/lora_spreading_factors.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 203 KiB |
BIN
presentation/plots/lora_symbols_0.png
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BIN
presentation/plots/lora_symbols_0.png
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presentation/plots/lora_symbols_1.png
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presentation/plots/lora_symbols_1.png
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presentation/plots/lora_symbols_2.png
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presentation/plots/lora_symbols_2.png
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presentation/plots/lora_symbols_3.png
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presentation/plots/lora_symbols_3.png
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presentation/plots/lora_symbols_4.png
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presentation/plots/lora_symbols_4.png
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presentation/plots/lora_symbols_5.png
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presentation/plots/lora_symbols_5.png
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presentation/plots/lora_symbols_6.png
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presentation/plots/lora_symbols_6.png
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presentation/plots/lora_upchirp.png
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presentation/plots/lora_upchirp.png
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presentation/plots/unmodulated.png
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presentation/plots/unmodulated.png
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Reference in New Issue
Block a user