Mali GPU User Interface Engine Application Development Guide

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Appendix AMatrix and Vector OperationsThis chapter provides an overview of matrix and vector operations and describes the matrix andvector functions in the MDE library. It contains the following section:• Matrix and vector functions in the MDE library on page A-2.ARM DUI 0527A-02a Copyright © 2010 ARM. All rights reserved. A-1ID070710Non-Confidential - Draft - Beta
Matrix and Vector OperationsA.1 Matrix and vector functions in the MDE libraryThe following matrix functions in the MDE library simplify transformations on matrices:matn determinant()matn identity()matn invert()Returns the determinate for the nxn identity matrix. n is in the range 2 to 4.Returns a nxn identity matrix. n is in the range 2 to 4.Attempts to calculate the inverse of the matrix. n is in the range 2 to 4.mat4 matrix = mat4::scale(2.0f, 2.0f, 2.0f);mat4 invertedMatrix;bool isInvertable = matrix.invert(invertedMatrix);mat4 lookAt()Creates a 4x4 lookAt transform matrix, constructed from the given cameraposition, camera target, and camera up vector.mat4 lookAtMatrix = mat4::lookAt(vec3(100.0f, 100.0f, 100.0f), //cameravec3(0.0f, 0.0f, 0.0f), // targetvec3(0.0f, 1.0f, 0.0f)); // upmatn operator float* ()matn operator=(float* d)Converts a matrix into an array of floats. This enables passing a mat4 as aparameter to a function that expects a float array:mat4 matrix;glUniformMatrix4fv(loc, 4, GL_FALSE, matrix);Returns a reference to the matrix element identified by the index.mat4 matrix;matrix[0] = 2.0f;float matn operator[] (int index)Returns a reference to the matrix element identified by the index.mat4 matrix;matrix[0] = 2.0f;float m[16]Returns an array of floats that contains the entries of the 4x4 matrix.matn operator*If the parameter is a nxn matrix, performs matrix multiplication between thematrix and another nxn matrix. This results in a new nxn matrix. n is in the range2 to 4. For example:mat4 m1, m2;mat4 result = m1*m2;Multiplying a 4x4 perspective projection matrix by the 4x4 matrix returned froma lookAt() call results in a world-view projection matrix.If the parameter is a n-element vector, performs matrix multiplication between thematrix and the vector. This results in a new n-element vector. For example:mat4 matrix;vec4 vector;vec4 result = matrix*vector;ARM DUI 0527A-02a Copyright © 2010 ARM. All rights reserved. A-2ID070710Non-Confidential - Draft - Beta
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MaliGPU User Interface EngineVersio
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ContentsMali GPU User Interface Eng
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List of TablesMali GPU User Interfa
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List of FiguresFigure 4-17 Environm
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PrefaceAbout this bookThis is the M
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PrefaceFeedbackARM welcomes feedbac
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Introduction1.1 About the Mali GPU
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IntroductionProxygetLoader()LoaderA
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Chapter 2Tutorial on the System Cla
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Tutorial on the System Classes2.2 C
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Tutorial on the System ClassesFigur
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Tutorial on the System ClassesDrawi
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Chapter 3Tutorial on Drawing 2D Sha
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Tutorial on Drawing 2D Shapes...con
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Tutorial on Drawing 2D ShapesFor ea
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Tutorial on Drawing 3D Shapes4.1 Dr
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