GraphingEnums.h

// Copyright (c) Microsoft Corporation. All rights reserved.
// Licensed under the MIT License.

#pragma once

namespace Graphing
{
    enum class LocalizationType
    {
        Unknown,
        DecimalPointAndListComma,
        DecimalPointAndListSemicolon,
        DecimalCommaAndListSemicolon
    };

    enum class EquationParsingMode
    {
        // Solving an equation. At least one equal sign is required
        SolveEquation,

        // Graphing an equation. At least one equal sign is required
        GraphEquation,

        // Not expecting an equation. No equal sign is allowed
        NonEquation,

        // Accept zero or more equal signs
        DoNotCare
    };

    enum class FormatType
    {
        // This format is not very human-readable, but best for machine processing and unit test.
        // The meaning of an expression is precise, there is no need for parentheses, and it's easy to parse.
        // While other serializers may contain little tweaks to make the UI component work as expected, this
        // format doesn't change often because no real UI uses it.
        // Example: Sum[1,Divide[2,x]]
        Formula,

        // Similar to Formula, except the variables are in the format of Var(0), Var(1), ... instead of in their names.
        // Used in serialization only (CasContext.FormatOptions) but not in parsing (CasContext.ParsingOptions)
        // Example: Sum[1,Divide[2,Var(0)]]
        InvariantFormula,

        // Similar to Formula, except the aggregates (grouping parentheses) are silently removed during serialization.
        // The primary usage for this format is in internal test cases.
        // When used in parsing, it's identical to Formula
        // Example: Sum[1,Divide[2,x]]
        FormulaWithoutAggregate,

        // This format is the most human-readable one. Can be used in command line applications or application that accept
        // and displays linear syntax. Also, the RichEdit wrapper returns linear syntax and it should be parsed with Linear format type.
        // Example: 1+2/x
        Linear,

        // This format is similar to linear format, but during serialization it uses ASCII characters only (except for variable
        // named specified by the user) and can round trip back to the linear parser.
        //
        // When used in parsing it's identical to Linear.
        LinearInput,

        // The standard MathML format. Note that the math engine can only parse a subset of the syntax in the MathML specification.
        // Example: <math><mn>1</mn><mo>+</mo><mfrac><mn>2</mn><mi>x</mi></mfrac></math>
        MathML,

        // Same as MathML, except this format type won't generate the root element <math> .
        // Used in serialization only (CasContext.FormatOptions) but not in parsing (CasContext.ParsingOptions)
        // Example: <mn>1</mn><mo>+</mo><mfrac><mn>2</mn><mi>x</mi></mfrac>
        MathMLNoWrapper,

        // This format type is for the RichEdit wrapper to render math in RichEdit.
        //
        // Used in serialization only (CasContext.FormatOptions) but not in parsing (CasContext.ParsingOptions)
        // Example: 1 + \frac{2,x}
        MathRichEdit,

        // This format type is for the RichEdit wrapper to render math in RichEdit.
        // It's same with MathRichEdit format with one exception: fractions are rendered
        // horizontally instead of vertically. This is a better choice if the display area
        // is confined with a small height.
        //
        // Used in serialization only (CasContext.FormatOptions) but not in parsing (CasContext.ParsingOptions)
        // Example: 1 + x/(2 a)
        InlineMathRichEdit,

        // The most compact format. Uses binary data. Like Format, it guarantees round trip between parsing and serialization.
        Binary,

        // Similar to Binary, except variableIds are used instead of variable name.
        InvariantBinary,

        // This is the base-64 encoded Binary format
        Base64,

        // This is the base-64 encoded InvariantBinary format.
        InvariantBase64,

        // Latex format
        // Example: \frac{1}{2}
        Latex
    };

    // Specify on what number field the evaluation should be performed: Real or Complex.
    enum class EvalNumberField
    {
        // This is invalid setting.
        Invalid,

        // Evaluation should be performed on Real number field
        Real,

        // Evaluation should be performed on Complex number field
        Complex
    };

    // Specify the evaluation direction: Expand, Factor or Neutral (neither Expand nor Factor)
    enum class EvalExpandMode
    {
        // Neither Expand nor Factor
        Neutral,

        // To expand during evaluation
        Expand,

        // To factor during evaluation
        Factor
    };

    // Specify the current trigonometry unit mode: Radians, Degrees, Grads. This has effect on these trig operators:
    // Sin Cos Tan Cot Sec Csc
    // ASin ACos ATan ACot ASec ACsc.
    // It has NO effect on hyperbolic trig operators (same behavior as Windows Calc), and any other operators.
    enum class EvalTrigUnitMode
    {
        // Invalid value.
        Invalid,

        // Default trig unit. Period of sin is 2pi
        Radians,

        // Degrees as trig unit. Period of sin is 360 degrees
        Degrees,

        // Grads as trig unit. Period of sin is 400 grads
        Grads
    };

    // Specifies the type of contextual action
    enum class ContextualActionType
    {
        // The input didn't generate any contextual action
        None,

        // Solve equation
        SolveEquation,

        // perform comparison
        Compare,

        // Expand the expression
        Expand,

        // Perform a 2D graphing
        Graph2D,

        // Perform a 2D graphing on all items in the list
        ListGraph2D,

        // Perform 2D graphing of the two functions on both side of the equal sign or inequality sign
        GraphBothSides2D,

        // Perform a 3D graphing
        Graph3D,

        // Perform 3D graphing of the two functions on both side of the equal sign or inequality sign
        GraphBothSides3D,

        // Perform 2D inequality graphing
        GraphInequality,

        // Perform assignment
        Assign,

        // Factor the expression
        Factor,

        // Compute the derivate of the expression
        Deriv,

        // Compute the integral of the expression
        IndefiniteIntegral,

        // Perform 2D graph
        Graph2DExpression,

        // Perform 3D graph
        Graph3DExpression,

        // solve the inequality
        SolveInequality,

        // calculate/simplify the expression
        Calculate,

        // round of the number
        Round,

        // floor of the number
        Floor,

        // ceiling of the number
        Ceiling,

        // The bit mask for matrix related contextual action types. if (type & MatrixMask)!=0 then the type is matrix related
        MatrixMask,

        // Compute the determinant of the matrix
        MatrixDeterminant,

        // Compute the inverse of the matrix
        MatrixInverse,

        // Compute the trace of the matrix
        MatrixTrace,

        // Compute the transpose of the matrix
        MatrixTranspose,

        // Compute the size of the matrix
        MatrixSize,

        // Compute the reduce of the matrix
        MatrixReduce,

        // The bit mask for list related contextual action types. if (type & ListMask)!=0 then the type is list related
        ListMask,

        // Sort the list
        ListSort,

        // Compute the mean of the list
        ListMean,

        // Compute the median of the list
        ListMedian,

        // Compute the mode of the list
        ListMode,

        // Compute the LCM (least common multiplier) of the list
        ListLcm,

        // Compute the GCF (greatest common factor) of the list
        ListGcf,

        // Compute the sum of the list elements
        ListSum,

        // Compute the product of the list elements
        ListProduct,

        // Compute the max of the list elements
        ListMax,

        // Compute the min of the list elements
        ListMin,

        // Compute the variance of the list elements
        ListVariance,

        // Compute the standard deviation of the list elements
        ListStdDev,

        // Show complete (verbose) solution
        ShowVerboseSolution,

        // bit mask of action type. Can be used to remove the Informational flag
        TypeMask, // mask to get the type

        // A flag that can be added onto any type. This is informational only that explains what the straight input would do.
        // No action should be performed
        Informational
    };

    enum class MathActionCategoryType
    {
        Unknown,
        Calculate,
        Solve,
        Integrate,
        Differentiate,
        Algebra,
        Matrix,
        List,
        Graph
    };

    enum class StepSequenceType
    {
        None,
        Text,
        Expression,
        NewLine,
        NewStep,
        Conditional,
        Composite,
        Goto,
        Call,
        Return,
        Stop,
        Error,
        GotoTemp
    };

    enum class FormatVerbosityMode
    {
        Verbose,
        Simple
    };

    namespace Renderer
    {
        //   Used to indicate what action should be performed to change the range.
        enum class ChangeRangeAction
        {
            //   Zoom in on all axes by the predefined ratio
            ZoomIn,

            //   Zoom out on all axes by the predefined ratio
            ZoomOut,

            //   Zoom out on X axis only, leave the range of Y (and Z in 3D) unchanged
            WidenX,

            //   Zoom in on X axis only, leave the range of Y (and Z in 3D) unchanged
            ShrinkX,

            //   Zoom out on Y axis only, leave the range of X (and Z in 3D) unchanged
            WidenY,

            //   Zoom in on Y axis only, leave the range of X (and Z in 3D) unchanged
            ShrinkY,

            //   Zoom out on Z axis only, leave the range of X and Y unchanged. Apply to 3D graph only but not 2D graph.
            WidenZ,

            //   Zoom in on Z axis only, leave the range of X and Y unchanged. Apply to 3D graph only but not 2D graph.
            ShrinkZ,

            //   Move the view window of the graph towards the negative X axis.
            MoveNegativeX,

            //   Move the view window of the graph towards the positive X axis.
            MovePositiveX,

            //   Move the view window of the graph towards the negative Y axis.
            MoveNegativeY,

            //   Move the view window of the graph towards the positive Y axis.
            MovePositiveY,

            //   Move the view window of the graph towards the negative Z axis.
            MoveNegativeZ,

            //   Move the view window of the graph towards the positive Z axis.
            MovePositiveZ,

            //   Zoom in on all axes by the predefined ratio. The ratio is smaller than used in ZoomIn result in a smoother motion
            SmoothZoomIn,

            //   Zoom out on all axes by the predefined ratio. The ratio is smaller than used in ZoomIn result in a smoother motion
            SmoothZoomOut,

            //   Zoom in on all axes by the predefined ratio
            PinchZoomIn,

            //   Zoom out on all axes by the predefined ratio
            PinchZoomOut
        };

        enum class LineStyle
        {
            Solid,
            Dot,
            Dash,
            DashDot,
            DashDotDot
        };
    }

    namespace Analyzer
    {
        // Graph Analyzer Messages
        enum GraphAnalyzerMessage
        {
            // "No data"
            GraphAnalyzerMessage_None = 0,

            // "No zeros"
            GraphAnalyzerMessage_NoZeros = 1,

            // "No y-intercept"
            GraphAnalyzerMessage_NoYIntercept = 2,

            // "No minima"
            GraphAnalyzerMessage_NoMinima = 3,

            // "No maxima"
            GraphAnalyzerMessage_NoMaxima = 4,

            // "No inflection points"
            GraphAnalyzerMessage_NoInflectionPoints = 5,

            // "No vertical asymptotes"
            GraphAnalyzerMessage_NoVerticalAsymptotes = 6,

            // "No horizontal asymptotes"
            GraphAnalyzerMessage_NoHorizontalAsymptotes = 7,

            // "No oblique asymptotes"
            GraphAnalyzerMessage_NoObliqueAsymptotes = 8,

            // "Not able to calculate"
            GraphAnalyzerMessage_NotAbleToCalculate = 9,

            // "Not able to mark all graph features"
            GraphAnalyzerMessage_NotAbleToMarkAllGraphFeatures = 10,

            // These features are too complex for {APPLICATION_NAME} to calculate
            GraphAnalyzerMessage_TheseFeaturesAreTooComplexToCalculate = 11,

            // "This feature is too complex for {APPLICATION_NAME} to calculate"
            GraphAnalyzerMessage_ThisFeatureIsTooComplexToCalculate = 12
        };

        // define which data should be filled into result object
        enum AnalysisType
        {
            // fill domain data
            AnalysisType_Domain = 0,

            // fill range data
            AnalysisType_Range = 1,

            // fill parity data
            AnalysisType_Parity = 2,

            // fill zeros
            AnalysisType_Zeros = 3,

            // fill interception with y axis
            AnalysisType_YIntercept = 4,

            // fill minima
            AnalysisType_Minima = 5,

            // fill maxima
            AnalysisType_Maxima = 6,

            // fill inflection points
            AnalysisType_InflectionPoints = 7,

            // fill vertical asymptotes
            AnalysisType_VerticalAsymptotes = 8,

            // fill horizontal asymptotes
            AnalysisType_HorizontalAsymptotes = 9,

            // fill oblique asymptotes
            AnalysisType_ObliqueAsymptotes = 10,

            // fill monotonicity
            AnalysisType_Monotonicity = 11,

            // fill period
            AnalysisType_Period = 12
        };

        // define which additional data should be calculated
        enum class PerformAnalysisType
        {
            // Calculate nothing
            // PerformAnalysisType_None = 0x0,

            // Calculate domain data
            PerformAnalysisType_Domain = 0x01,

            // Calculate range data
            PerformAnalysisType_Range = 0x02,

            // Calculate parity data
            PerformAnalysisType_Parity = 0x04,

            // Calculate zeros and interception with y axis
            PerformAnalysisType_InterceptionPointsWithXAndYAxis = 0x08,

            // Calculate Extrema and inflection points
            PerformAnalysisType_CriticalPoints = 0x10,

            // Calculate asymptotes
            PerformAnalysisType_Asymptotes = 0x20,

            // Calculate monotonicity
            PerformAnalysisType_Monotonicity = 0x40,

            // Calculate period
            PerformAnalysisType_Period = 0x80,

            // Calculate all additional data
            PerformAnalysisType_All = 0xFF
        };

        // function parity for function analysis
        enum class FunctionParityType
        {
            // parity not calculated or not possible to calculate
            FunctionParityType_Unknown = 0,

            // parity is odd
            FunctionParityType_Odd = 1,

            // parity is even
            FunctionParityType_Even = 2,

            // function is not odd nor even
            FunctionParityType_None = 3
        };

        // monotonicity direction for function analysis
        enum class FunctionMonotonicityType
        {
            // unknown or not calculated
            FunctionMonotonicityType_Unknown = 0,

            // ascending monotonicity on interval
            FunctionMonotonicityType_Ascending = 1,

            // descending monotonicity on interval
            FunctionMonotonicityType_Descending = 2,

            // constant monotonicity on interval
            FunctionMonotonicityType_Constant = 3
        };

        // asymptote description for function analysis
        enum class AsymptoteType
        {
            // unknown or not calculated
            AsymptoteType_Unknown = 0,

            // when x goes to positive infinity
            AsymptoteType_PositiveInfinity = 1,

            // when x goes to negative infinity
            AsymptoteType_NegativeInfinity = 2,

            // when x goes to positive or negative infinity
            AsymptoteType_AnyInfinity = 3
        };

        // function periodicity for function analysis
        enum class FunctionPeriodicityType
        {
            // periodicity not calculated or not possible to calculate
            FunctionPeriodicityType_Unknown = 0,

            // parity is odd
            FunctionPeriodicityType_Periodic = 1,

            // parity is even
            FunctionPeriodicityType_NotPeriodic = 2
        };

    }
}