Record TGenericMatrix2
Unit
Declaration
type TGenericMatrix2 = record
Description
2x2 matrix of floating-point values.
See also
- TGenericMatrix3
- 3x3 matrix of floating-point values.
Overview
Nested Types
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TIndex = 0..1; |
Fields
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var Data: array [TIndex, TIndex] of TGenericScalar; |
Methods
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class operator + (const A, B: TGenericMatrix2): TGenericMatrix2; inline; |
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class operator - (const A, B: TGenericMatrix2): TGenericMatrix2; inline; |
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class operator - (const M: TGenericMatrix2): TGenericMatrix2; inline; |
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class operator * (const V: TGenericMatrix2; const Scalar: TGenericScalar): TGenericMatrix2; inline; |
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class operator * (const Scalar: TGenericScalar; const V: TGenericMatrix2): TGenericMatrix2; inline; |
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class operator * (const M: TGenericMatrix2; const V: TGenericVector2): TGenericVector2; inline; |
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class operator * (const M1, M2: TGenericMatrix2): TGenericMatrix2; |
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function ToString(const LineIndent: string = ''): string; |
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function ToRawString(const LineIndent: String = ''; const FloatFormat: String = '%g'): String; |
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function Determinant: TGenericScalar; |
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function Inverse(ADeterminant: TGenericScalar): TGenericMatrix2; |
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function TryInverse(out MInverse: TGenericMatrix2): boolean; |
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function Transpose: TGenericMatrix2; |
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class function Equals(const M1, M2: TGenericMatrix2): boolean; overload; static; |
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class function Equals(const M1, M2: TGenericMatrix2; const Epsilon: TGenericScalar): boolean; overload; static; |
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class function PerfectlyEquals(const M1, M2: TGenericMatrix2): boolean; static; |
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class function Lerp(const A: TGenericScalar; const M1, M2: TGenericMatrix2): TGenericMatrix2; static; |
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class function Zero: TGenericMatrix2; static; |
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class function Identity: TGenericMatrix2; static; |
Properties
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property Items [const AColumn,ARow: TIndex]: TGenericScalar read GetItems write SetItems; |
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property Rows [const ARow: TIndex]: TGenericVector2 read GetRows write SetRows; |
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property Columns [const AColumn: TIndex]: TGenericVector2 read GetColumns write SetColumns; |
Description
Nested Types
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TIndex = 0..1; |
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This item has no description. | |
Fields
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var Data: array [TIndex, TIndex] of TGenericScalar; |
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This item has no description. | |
Methods
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class operator + (const A, B: TGenericMatrix2): TGenericMatrix2; inline; |
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This item has no description. | |
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class operator - (const A, B: TGenericMatrix2): TGenericMatrix2; inline; |
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This item has no description. | |
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class operator - (const M: TGenericMatrix2): TGenericMatrix2; inline; |
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This item has no description. | |
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class operator * (const V: TGenericMatrix2; const Scalar: TGenericScalar): TGenericMatrix2; inline; |
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This item has no description. | |
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class operator * (const Scalar: TGenericScalar; const V: TGenericMatrix2): TGenericMatrix2; inline; |
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This item has no description. | |
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class operator * (const M: TGenericMatrix2; const V: TGenericVector2): TGenericVector2; inline; |
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This item has no description. | |
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class operator * (const M1, M2: TGenericMatrix2): TGenericMatrix2; |
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Matrix * matrix makes a normal matrix algebraic multiplication (not component-wise multiplication). Note that this is different from vectors, where vector * vector makes a component-wise multiplication. | |
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function ToString(const LineIndent: string = ''): string; |
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This item has no description. | |
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function ToRawString(const LineIndent: String = ''; const FloatFormat: String = '%g'): String; |
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Convert to string using the most precise (not always easily readable by humans) float format. This may use the exponential (scientific) notation to represent the floating-point value, if needed. You can pass, as parameter, the format to use. By default it is '%g', "general number format" with maximum precision documented on https://www.freepascal.org/docs-html/rtl/sysutils/format.html . This is suitable for storing the value in a file, with a best precision possible. | |
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function Determinant: TGenericScalar; |
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This item has no description. | |
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function Inverse(ADeterminant: TGenericScalar): TGenericMatrix2; |
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This does division by ADeterminant internally, so will raise exception from this float division if the matrix is not reversible. Check Math.IsZero(ADeterminant) first to avoid this, or use TryInverse. | |
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function TryInverse(out MInverse: TGenericMatrix2): boolean; |
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Inverse the matrix, or return | |
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function Transpose: TGenericMatrix2; |
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This item has no description. | |
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class function Equals(const M1, M2: TGenericMatrix2): boolean; overload; static; |
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Compare two vectors, with epsilon to tolerate slightly different floats. | |
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class function Equals(const M1, M2: TGenericMatrix2; const Epsilon: TGenericScalar): boolean; overload; static; |
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This item has no description. | |
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class function PerfectlyEquals(const M1, M2: TGenericMatrix2): boolean; static; |
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Compare two vectors using exact comparison (like the "=" operator to compare floats). | |
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class function Lerp(const A: TGenericScalar; const M1, M2: TGenericMatrix2): TGenericMatrix2; static; |
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Linear interpolation between two matrix values. See also
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class function Zero: TGenericMatrix2; static; |
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This item has no description. | |
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class function Identity: TGenericMatrix2; static; |
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This item has no description. | |
Properties
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property Items [const AColumn,ARow: TIndex]: TGenericScalar read GetItems write SetItems; |
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This item has no description. | |
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property Rows [const ARow: TIndex]: TGenericVector2 read GetRows write SetRows; |
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This item has no description. | |
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property Columns [const AColumn: TIndex]: TGenericVector2 read GetColumns write SetColumns; |
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This item has no description. | |
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