Android : Maximum allowed width & height of bitmap

Another way of getting the maximum allowed size would be to loop through all EGL10 configurations and keep track of the largest size.

public static int getMaxTextureSize() {
    // Safe minimum default size
    final int IMAGE_MAX_BITMAP_DIMENSION = 2048;

    // Get EGL Display
    EGL10 egl = (EGL10) EGLContext.getEGL();
    EGLDisplay display = egl.eglGetDisplay(EGL10.EGL_DEFAULT_DISPLAY);

    // Initialise
    int[] version = new int[2];
    egl.eglInitialize(display, version);

    // Query total number of configurations
    int[] totalConfigurations = new int[1];
    egl.eglGetConfigs(display, null, 0, totalConfigurations);

    // Query actual list configurations
    EGLConfig[] configurationsList = new EGLConfig[totalConfigurations[0]];
    egl.eglGetConfigs(display, configurationsList, totalConfigurations[0], totalConfigurations);

    int[] textureSize = new int[1];
    int maximumTextureSize = 0;

    // Iterate through all the configurations to located the maximum texture size
    for (int i = 0; i < totalConfigurations[0]; i++) {
        // Only need to check for width since opengl textures are always squared
        egl.eglGetConfigAttrib(display, configurationsList[i], EGL10.EGL_MAX_PBUFFER_WIDTH, textureSize);

        // Keep track of the maximum texture size
        if (maximumTextureSize < textureSize[0])
            maximumTextureSize = textureSize[0];
    }

    // Release
    egl.eglTerminate(display);

    // Return largest texture size found, or default
    return Math.max(maximumTextureSize, IMAGE_MAX_BITMAP_DIMENSION);
}

From my testing, this is pretty reliable and doesn’t require you to create an instance.
Performance-wise, this took 18 milliseconds to execute on my Note 2 and only 4 milliseconds on my G3.