float hilbert_9_x[] =
{ 0.0009765625f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.004882813f, 0.004882813f, 0.006835938f, 0.006835938f, 0.006835938f, 0.004882813f, 0.004882813f, 0.006835938f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01074219f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01074219f, 0.01074219f, 0.008789063f, 0.008789063f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01074219f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01074219f, 0.01074219f, 0.008789063f, 0.008789063f, 0.006835938f, 0.004882813f, 0.004882813f, 0.006835938f, 0.006835938f, 0.006835938f, 0.004882813f, 0.004882813f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.004882813f, 0.006835938f, 0.006835938f, 0.004882813f, 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0.05566406f, 0.05761719f, 0.05761719f, 0.05957031f, 0.06152344f, 0.06152344f, 0.05957031f, 0.05957031f, 0.06152344f, 0.06152344f, 0.05957031f, 0.05761719f, 0.05761719f, 0.05566406f, 0.05566406f, 0.05371094f, 0.05175781f, 0.05175781f, 0.05371094f, 0.05371094f, 0.05371094f, 0.05175781f, 0.05175781f, 0.04980469f, 0.04980469f, 0.04785156f, 0.04785156f, 0.04785156f, 0.04980469f, 0.04980469f, 0.04785156f, 0.04589844f, 0.04589844f, 0.04394531f, 0.04394531f, 0.04199219f, 0.04003906f, 0.04003906f, 0.04199219f, 0.04199219f, 0.04003906f, 0.04003906f, 0.04199219f, 0.04394531f, 0.04394531f, 0.04589844f, 0.04589844f, 0.04589844f, 0.04394531f, 0.04394531f, 0.04589844f, 0.04589844f, 0.04589844f, 0.04394531f, 0.04394531f, 0.04199219f, 0.04199219f, 0.04003906f, 0.04003906f, 0.04003906f, 0.04199219f, 0.04199219f, 0.04003906f, 0.03808594f, 0.03613281f, 0.03613281f, 0.03808594f, 0.03808594f, 0.03808594f, 0.03613281f, 0.03613281f, 0.03417969f, 0.03417969f, 0.03222656f, 0.03222656f, 0.03222656f, 0.03417969f, 0.03417969f, 0.03222656f, 0.03222656f, 0.03222656f, 0.03417969f, 0.03417969f, 0.03613281f, 0.03808594f, 0.03808594f, 0.03613281f, 0.03613281f, 0.03808594f, 0.03808594f, 0.03613281f, 0.03417969f, 0.03417969f, 0.03222656f, 0.03222656f, 0.03027344f, 0.02832031f, 0.02832031f, 0.03027344f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02832031f, 0.02636719f, 0.02636719f, 0.02441406f, 0.02441406f, 0.02441406f, 0.02636719f, 0.02636719f, 0.02441406f, 0.02246094f, 0.02246094f, 0.02050781f, 0.02050781f, 0.01855469f, 0.01660156f, 0.01660156f, 0.01855469f, 0.01855469f, 0.01660156f, 0.01660156f, 0.01855469f, 0.02050781f, 0.02050781f, 0.02246094f, 0.02246094f, 0.02246094f, 0.02246094f, 0.02050781f, 0.02050781f, 0.01855469f, 0.01660156f, 0.01660156f, 0.01855469f, 0.01855469f, 0.01660156f, 0.01660156f, 0.01855469f, 0.02050781f, 0.02050781f, 0.02246094f, 0.02246094f, 0.02441406f, 0.02636719f, 0.02636719f, 0.02441406f, 0.02441406f, 0.02441406f, 0.02636719f, 0.02636719f, 0.02832031f, 0.02832031f, 0.03027344f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02832031f, 0.03027344f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02832031f, 0.02636719f, 0.02441406f, 0.02441406f, 0.02636719f, 0.02636719f, 0.02441406f, 0.02441406f, 0.02636719f, 0.02832031f, 0.02832031f, 0.03027344f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02832031f, 0.03027344f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02832031f, 0.02636719f, 0.02636719f, 0.02441406f, 0.02441406f, 0.02441406f, 0.02636719f, 0.02636719f, 0.02441406f, 0.02246094f, 0.02050781f, 0.02050781f, 0.02246094f, 0.02246094f, 0.02246094f, 0.02050781f, 0.02050781f, 0.01855469f, 0.01855469f, 0.01660156f, 0.01660156f, 0.01660156f, 0.01855469f, 0.01855469f, 0.01660156f, 0.01660156f, 0.01660156f, 0.01855469f, 0.01855469f, 0.02050781f, 0.02246094f, 0.02246094f, 0.02050781f, 0.02050781f, 0.02246094f, 0.02246094f, 0.02050781f, 0.01855469f, 0.01855469f, 0.01660156f, 0.01660156f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01074219f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01074219f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01269531f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01074219f, 0.01074219f, 0.008789063f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01074219f, 0.008789063f, 0.006835938f, 0.004882813f, 0.004882813f, 0.006835938f, 0.006835938f, 0.006835938f, 0.004882813f, 0.004882813f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.004882813f, 0.006835938f, 0.006835938f, 0.004882813f, 0.004882813f, 0.006835938f, 0.006835938f, 0.004882813f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.004882813f, 0.004882813f, 0.006835938f, 0.006835938f, 0.006835938f, 0.004882813f, 0.004882813f, 0.006835938f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01074219f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01074219f, 0.01074219f, 0.008789063f, 0.008789063f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01074219f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01074219f, 0.01074219f, 0.008789063f, 0.008789063f, 0.006835938f, 0.004882813f, 0.004882813f, 0.006835938f, 0.006835938f, 0.006835938f, 0.004882813f, 0.004882813f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.0009765625f };
float hilbert_9_y[] =
{ 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.004882813f, 0.006835938f, 0.006835938f, 0.004882813f, 0.004882813f, 0.006835938f, 0.006835938f, 0.004882813f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.004882813f, 0.004882813f, 0.006835938f, 0.006835938f, 0.006835938f, 0.004882813f, 0.004882813f, 0.006835938f, 0.008789063f, 0.01074219f, 0.01074219f, 0.008789063f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01074219f, 0.01269531f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01074219f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01074219f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01269531f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01660156f, 0.01855469f, 0.01855469f, 0.01660156f, 0.01660156f, 0.01660156f, 0.01855469f, 0.01855469f, 0.02050781f, 0.02050781f, 0.02246094f, 0.02246094f, 0.02246094f, 0.02050781f, 0.02050781f, 0.02246094f, 0.02441406f, 0.02441406f, 0.02636719f, 0.02636719f, 0.02832031f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02832031f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02636719f, 0.02636719f, 0.02441406f, 0.02441406f, 0.02441406f, 0.02441406f, 0.02636719f, 0.02636719f, 0.02832031f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02832031f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02636719f, 0.02636719f, 0.02441406f, 0.02441406f, 0.02246094f, 0.02050781f, 0.02050781f, 0.02246094f, 0.02246094f, 0.02246094f, 0.02050781f, 0.02050781f, 0.01855469f, 0.01855469f, 0.01660156f, 0.01660156f, 0.01660156f, 0.01855469f, 0.01855469f, 0.01660156f, 0.01660156f, 0.01855469f, 0.01855469f, 0.01660156f, 0.01660156f, 0.01660156f, 0.01855469f, 0.01855469f, 0.02050781f, 0.02050781f, 0.02246094f, 0.02246094f, 0.02246094f, 0.02050781f, 0.02050781f, 0.02246094f, 0.02441406f, 0.02441406f, 0.02636719f, 0.02636719f, 0.02832031f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02832031f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02636719f, 0.02636719f, 0.02441406f, 0.02441406f, 0.02441406f, 0.02441406f, 0.02636719f, 0.02636719f, 0.02832031f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02832031f, 0.03027344f, 0.03027344f, 0.02832031f, 0.02636719f, 0.02636719f, 0.02441406f, 0.02441406f, 0.02246094f, 0.02050781f, 0.02050781f, 0.02246094f, 0.02246094f, 0.02246094f, 0.02050781f, 0.02050781f, 0.01855469f, 0.01855469f, 0.01660156f, 0.01660156f, 0.01660156f, 0.01855469f, 0.01855469f, 0.01660156f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01074219f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01074219f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01269531f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01074219f, 0.01074219f, 0.008789063f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01074219f, 0.008789063f, 0.006835938f, 0.004882813f, 0.004882813f, 0.006835938f, 0.006835938f, 0.006835938f, 0.004882813f, 0.004882813f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.004882813f, 0.006835938f, 0.006835938f, 0.004882813f, 0.004882813f, 0.006835938f, 0.006835938f, 0.004882813f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.0009765625f, 0.0009765625f, 0.0009765625f, 0.002929688f, 0.002929688f, 0.004882813f, 0.004882813f, 0.006835938f, 0.006835938f, 0.006835938f, 0.004882813f, 0.004882813f, 0.006835938f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01074219f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01074219f, 0.01074219f, 0.008789063f, 0.008789063f, 0.008789063f, 0.008789063f, 0.01074219f, 0.01074219f, 0.01269531f, 0.01464844f, 0.01464844f, 0.01269531f, 0.01269531f, 0.01464844f, 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