Exemplo n.º 1
0
/*!
 * \brief   pmsCreate()
 *
 * \param[in]    minsize of data chunk that can be supplied by pms
 * \param[in]    smallest bytes of the smallest pre-allocated data chunk.
 * \param[in]    numalloc array with the number of data chunks for each
 *                        size that are in the memory store
 * \param[in]    logfile use for debugging; null otherwise
 * \return  0 if OK, 1 on error
 *
 * <pre>
 * Notes:
 *      (1) This computes the size of the block of memory required
 *          and allocates it.  Each chunk starts on a 32-bit word boundary.
 *          The chunk sizes are in powers of 2, starting at %smallest,
 *          and the number of levels and chunks at each level is
 *          specified by %numalloc.
 *      (2) This is intended to manage the image data for a small number
 *          of relatively large pix.  The system malloc is expected to
 *          handle very large numbers of small chunks efficiently.
 *      (3) Important: set the allocators and call this function
 *          before any pix have been allocated.  Destroy all the pix
 *          in the normal way before calling pmsDestroy().
 *      (4) The pms struct is stored in a static global, so this function
 *          is not thread-safe.  When used, there must be only one thread
 *          per process.
 * </pre>
 */
l_ok
pmsCreate(size_t       minsize,
          size_t       smallest,
          NUMA        *numalloc,
          const char  *logfile)
{
l_int32           nlevels, i, j, nbytes;
l_int32          *alloca;
l_float32         nchunks;
l_uint32         *baseptr, *data;
l_uint32        **firstptr;
size_t           *sizes;
L_PIX_MEM_STORE  *pms;
L_PTRA           *pa;
L_PTRAA          *paa;

    PROCNAME("createPMS");

    if (!numalloc)
        return ERROR_INT("numalloc not defined", procName, 1);
    numaGetSum(numalloc, &nchunks);
    if (nchunks > 1000.0)
        L_WARNING("There are %.0f chunks\n", procName, nchunks);

    if ((pms = (L_PIX_MEM_STORE *)LEPT_CALLOC(1, sizeof(L_PIX_MEM_STORE)))
        == NULL)
        return ERROR_INT("pms not made", procName, 1);
    CustomPMS = pms;

        /* Make sure that minsize and smallest are multiples of 32 bit words */
    if (minsize % 4 != 0)
        minsize -= minsize % 4;
    pms->minsize = minsize;
    nlevels = numaGetCount(numalloc);
    pms->nlevels = nlevels;

    if ((sizes = (size_t *)LEPT_CALLOC(nlevels, sizeof(size_t))) == NULL)
        return ERROR_INT("sizes not made", procName, 1);
    pms->sizes = sizes;
    if (smallest % 4 != 0)
        smallest += 4 - (smallest % 4);
    pms->smallest = smallest;
    for (i = 0; i < nlevels; i++)
        sizes[i] = smallest * (1 << i);
    pms->largest = sizes[nlevels - 1];

    alloca = numaGetIArray(numalloc);
    pms->allocarray = alloca;
    if ((paa = ptraaCreate(nlevels)) == NULL)
        return ERROR_INT("paa not made", procName, 1);
    pms->paa = paa;

    for (i = 0, nbytes = 0; i < nlevels; i++)
        nbytes += alloca[i] * sizes[i];
    pms->nbytes = nbytes;

    if ((baseptr = (l_uint32 *)LEPT_CALLOC(nbytes / 4, sizeof(l_uint32)))
        == NULL)
        return ERROR_INT("calloc fail for baseptr", procName, 1);
    pms->baseptr = baseptr;
    pms->maxptr = baseptr + nbytes / 4;  /* just beyond the memory store */
    if ((firstptr = (l_uint32 **)LEPT_CALLOC(nlevels, sizeof(l_uint32 *)))
        == NULL)
        return ERROR_INT("calloc fail for firstptr", procName, 1);
    pms->firstptr = firstptr;

    data = baseptr;
    for (i = 0; i < nlevels; i++) {
        if ((pa = ptraCreate(alloca[i])) == NULL)
            return ERROR_INT("pa not made", procName, 1);
        ptraaInsertPtra(paa, i, pa);
        firstptr[i] = data;
        for (j = 0; j < alloca[i]; j++) {
            ptraAdd(pa, data);
            data += sizes[i] / 4;
        }
    }

    if (logfile) {
        pms->memused = (l_int32 *)LEPT_CALLOC(nlevels, sizeof(l_int32));
        pms->meminuse = (l_int32 *)LEPT_CALLOC(nlevels, sizeof(l_int32));
        pms->memmax = (l_int32 *)LEPT_CALLOC(nlevels, sizeof(l_int32));
        pms->memempty = (l_int32 *)LEPT_CALLOC(nlevels, sizeof(l_int32));
        pms->logfile = stringNew(logfile);
    }

    return 0;
}
Exemplo n.º 2
0
/*!
 *  pixFindNormalizedSquareSum()
 *
 *      Input:  pixs
 *              &hratio (<optional return> ratio of normalized horiz square sum
 *                       to result if the pixel distribution were uniform)
 *              &vratio (<optional return> ratio of normalized vert square sum
 *                       to result if the pixel distribution were uniform)
 *              &fract  (<optional return> ratio of fg pixels to total pixels)
 *      Return: 0 if OK, 1 on error or if there are no fg pixels
 *
 *  Notes:
 *      (1) Let the image have h scanlines and N fg pixels.
 *          If the pixels were uniformly distributed on scanlines,
 *          the sum of squares of fg pixels on each scanline would be
 *          h * (N / h)^2.  However, if the pixels are not uniformly
 *          distributed (e.g., for text), the sum of squares of fg
 *          pixels will be larger.  We return in hratio and vratio the
 *          ratio of these two values.
 *      (2) If there are no fg pixels, hratio and vratio are returned as 0.0.
 */
l_int32
pixFindNormalizedSquareSum(PIX        *pixs,
                           l_float32  *phratio,
                           l_float32  *pvratio,
                           l_float32  *pfract)
{
l_int32    i, w, h, empty;
l_float32  sum, sumsq, uniform, val;
NUMA      *na;
PIX       *pixt;

    PROCNAME("pixFindNormalizedSquareSum");

    if (!pixs || pixGetDepth(pixs) != 1)
        return ERROR_INT("pixs not defined or not 1 bpp", procName, 1);
    pixGetDimensions(pixs, &w, &h, NULL);

    if (!phratio && !pvratio)
        return ERROR_INT("nothing to do", procName, 1);
    if (phratio) *phratio = 0.0;
    if (pvratio) *pvratio = 0.0;

    empty = 0;
    if (phratio) {
        na = pixCountPixelsByRow(pixs, NULL);
        numaGetSum(na, &sum);  /* fg pixels */
        if (pfract) *pfract = sum / (l_float32)(w * h);
        if (sum != 0.0) {
            uniform = sum * sum / h;   /*  h*(sum / h)^2  */
            sumsq = 0.0;
            for (i = 0; i < h; i++) {
                numaGetFValue(na, i, &val);
                sumsq += val * val;
            }
            *phratio = sumsq / uniform;
        } else {
            empty = 1;
        }
        numaDestroy(&na);
    }

    if (pvratio) {
        if (empty == 1) return 1;
        pixt = pixRotateOrth(pixs, 1);
        na = pixCountPixelsByRow(pixt, NULL);
        numaGetSum(na, &sum);
        if (pfract) *pfract = sum / (l_float32)(w * h);
        if (sum != 0.0) {
            uniform = sum * sum / w;
            sumsq = 0.0;
            for (i = 0; i < w; i++) {
                numaGetFValue(na, i, &val);
                sumsq += val * val;
            }
            *pvratio = sumsq / uniform;
        } else {
            empty = 1;
        }
        pixDestroy(&pixt);
        numaDestroy(&na);
    }

    return empty;
}
int main(int    argc,
         char **argv)
{
    l_int32      i, j;
    l_int32      w, h, bw, bh, wpls, rval, gval, bval, same;
    l_uint32     pixel;
    l_uint32    *lines, *datas;
    l_float32    sum1, sum2, ave1, ave2, ave3, ave4, diff1, diff2;
    l_float32    var1, var2, var3;
    BOX         *box1, *box2;
    NUMA        *na, *na1, *na2, *na3, *na4;
    PIX         *pix, *pixs, *pix1, *pix2, *pix3, *pix4, *pix5, *pixg, *pixd;
    PIXA        *pixa;
    static char  mainName[] = "numa2_reg";

    if (argc != 1)
        return ERROR_INT(" Syntax:  numa2_reg", mainName, 1);

    lept_mkdir("lept/numa2");

    /* -------------------------------------------------------------------*
     *                         Numa-windowed stats                        *
     * -------------------------------------------------------------------*/
#if  DO_ALL
    na = numaRead("lyra.5.na");
    numaWindowedStats(na, 5, &na1, &na2, &na3, &na4);
    gplotSimple1(na, GPLOT_PNG, "/tmp/lept/numa2/lyra6", "Original");
    gplotSimple1(na1, GPLOT_PNG, "/tmp/lept/numa2/lyra7", "Mean");
    gplotSimple1(na2, GPLOT_PNG, "/tmp/lept/numa2/lyra8", "Mean Square");
    gplotSimple1(na3, GPLOT_PNG, "/tmp/lept/numa2/lyra9", "Variance");
    gplotSimple1(na4, GPLOT_PNG, "/tmp/lept/numa2/lyra10", "RMS Difference");
    pixa = pixaCreate(5);
    pix1 = pixRead("/tmp/lept/numa2/lyra6.png");
    pix2 = pixRead("/tmp/lept/numa2/lyra7.png");
    pix3 = pixRead("/tmp/lept/numa2/lyra8.png");
    pix4 = pixRead("/tmp/lept/numa2/lyra9.png");
    pix5 = pixRead("/tmp/lept/numa2/lyra10.png");
    pixaAddPix(pixa, pix1, L_INSERT);
    pixaAddPix(pixa, pix2, L_INSERT);
    pixaAddPix(pixa, pix3, L_INSERT);
    pixaAddPix(pixa, pix4, L_INSERT);
    pixaAddPix(pixa, pix5, L_INSERT);
    pixd = pixaDisplayTiledInRows(pixa, 32, 1500, 1.0, 0, 20, 2);
    pixDisplay(pixd, 100, 0);
    pixWrite("/tmp/lept/numa2/window.png", pixd, IFF_PNG);
    pixDestroy(&pixd);
    pixaDestroy(&pixa);
    numaDestroy(&na);
    numaDestroy(&na1);
    numaDestroy(&na2);
    numaDestroy(&na3);
    numaDestroy(&na4);
#endif

    /* -------------------------------------------------------------------*
     *                        Extraction on a line                        *
     * -------------------------------------------------------------------*/
#if  DO_ALL
    /* First, make a pretty image */
    w = h = 200;
    pixs = pixCreate(w, h, 32);
    wpls = pixGetWpl(pixs);
    datas = pixGetData(pixs);
    for (i = 0; i < 200; i++) {
        lines = datas + i * wpls;
        for (j = 0; j < 200; j++) {
            rval = (l_int32)((255. * j) / w + (255. * i) / h);
            gval = (l_int32)((255. * 2 * j) / w + (255. * 2 * i) / h) % 255;
            bval = (l_int32)((255. * 4 * j) / w + (255. * 4 * i) / h) % 255;
            composeRGBPixel(rval, gval, bval, &pixel);
            lines[j] = pixel;
        }
    }
    pixg = pixConvertTo8(pixs, 0);  /* and a grayscale version */
    pixWrite("/tmp/lept/numa_pixg.png", pixg, IFF_PNG);
    pixDisplay(pixg, 450, 100);

    na1 = pixExtractOnLine(pixg, 20, 20, 180, 20, 1);
    na2 = pixExtractOnLine(pixg, 40, 30, 40, 170, 1);
    na3 = pixExtractOnLine(pixg, 20, 170, 180, 30, 1);
    na4 = pixExtractOnLine(pixg, 20, 190, 180, 10, 1);
    gplotSimple1(na1, GPLOT_PNG, "/tmp/lept/numa2/ext1", "Horizontal");
    gplotSimple1(na2, GPLOT_PNG, "/tmp/lept/numa2/ext2", "Vertical");
    gplotSimple1(na3, GPLOT_PNG, "/tmp/lept/numa2/ext3",
                 "Slightly more horizontal than vertical");
    gplotSimple1(na4, GPLOT_PNG, "/tmp/lept/numa2/ext4",
                 "Slightly more vertical than horizontal");
    pixa = pixaCreate(4);
    pix1 = pixRead("/tmp/lept/numa2/ext1.png");
    pix2 = pixRead("/tmp/lept/numa2/ext2.png");
    pix3 = pixRead("/tmp/lept/numa2/ext3.png");
    pix4 = pixRead("/tmp/lept/numa2/ext4.png");
    pixaAddPix(pixa, pix1, L_INSERT);
    pixaAddPix(pixa, pix2, L_INSERT);
    pixaAddPix(pixa, pix3, L_INSERT);
    pixaAddPix(pixa, pix4, L_INSERT);
    pixd = pixaDisplayTiledInRows(pixa, 32, 1500, 1.0, 0, 20, 2);
    pixDisplay(pixd, 100, 450);
    pixWrite("/tmp/lept/numa2/extract.png", pixd, IFF_PNG);
    pixDestroy(&pixd);
    pixaDestroy(&pixa);
    pixDestroy(&pixg);
    numaDestroy(&na1);
    numaDestroy(&na2);
    numaDestroy(&na3);
    numaDestroy(&na4);
#endif

    /* -------------------------------------------------------------------*
     *                     Row and column pixel sums                      *
     * -------------------------------------------------------------------*/
#if  DO_ALL
    /* Sum by columns in two halves (left and right) */
    pixs = pixRead("test8.jpg");
    pixGetDimensions(pixs, &w, &h, NULL);
    box1 = boxCreate(0, 0, w / 2, h);
    box2 = boxCreate(w / 2, 0, w - 2 / 2, h);
    na1 = pixAverageByColumn(pixs, box1, L_BLACK_IS_MAX);
    na2 = pixAverageByColumn(pixs, box2, L_BLACK_IS_MAX);
    numaJoin(na1, na2, 0, -1);
    na3 = pixAverageByColumn(pixs, NULL, L_BLACK_IS_MAX);
    numaSimilar(na1, na3, 0.0, &same);
    if (same)
        fprintf(stderr, "Same for columns\n");
    else
        fprintf(stderr, "Error for columns\n");
    pix = pixConvertTo32(pixs);
    pixRenderPlotFromNumaGen(&pix, na3, L_HORIZONTAL_LINE, 3, h / 2, 80, 1,
                             0xff000000);
    pixRenderPlotFromNuma(&pix, na3, L_PLOT_AT_BOT, 3, 80, 0xff000000);
    boxDestroy(&box1);
    boxDestroy(&box2);
    numaDestroy(&na1);
    numaDestroy(&na2);
    numaDestroy(&na3);

    /* Sum by rows in two halves (top and bottom) */
    box1 = boxCreate(0, 0, w, h / 2);
    box2 = boxCreate(0, h / 2, w, h - h / 2);
    na1 = pixAverageByRow(pixs, box1, L_WHITE_IS_MAX);
    na2 = pixAverageByRow(pixs, box2, L_WHITE_IS_MAX);
    numaJoin(na1, na2, 0, -1);
    na3 = pixAverageByRow(pixs, NULL, L_WHITE_IS_MAX);
    numaSimilar(na1, na3, 0.0, &same);
    if (same)
        fprintf(stderr, "Same for rows\n");
    else
        fprintf(stderr, "Error for rows\n");
    pixRenderPlotFromNumaGen(&pix, na3, L_VERTICAL_LINE, 3, w / 2, 80, 1,
                             0x00ff0000);
    pixRenderPlotFromNuma(&pix, na3, L_PLOT_AT_RIGHT, 3, 80, 0x00ff0000);
    pixDisplay(pix, 500, 200);
    boxDestroy(&box1);
    boxDestroy(&box2);
    numaDestroy(&na1);
    numaDestroy(&na2);
    numaDestroy(&na3);
    pixDestroy(&pix);

    /* Average left by rows; right by columns; compare totals */
    box1 = boxCreate(0, 0, w / 2, h);
    box2 = boxCreate(w / 2, 0, w - 2 / 2, h);
    na1 = pixAverageByRow(pixs, box1, L_WHITE_IS_MAX);
    na2 = pixAverageByColumn(pixs, box2, L_WHITE_IS_MAX);
    numaGetSum(na1, &sum1);  /* sum of averages of left box */
    numaGetSum(na2, &sum2);  /* sum of averages of right box */
    ave1 = sum1 / h;
    ave2 = 2.0 * sum2 / w;
    ave3 = 0.5 * (ave1 + ave2);  /* average over both halves */
    fprintf(stderr, "ave1 = %8.4f\n", sum1 / h);
    fprintf(stderr, "ave2 = %8.4f\n", 2.0 * sum2 / w);
    pixAverageInRect(pixs, NULL, &ave4);  /* entire image */
    diff1 = ave4 - ave3;
    diff2 = w * h * ave4 - (0.5 * w * sum1 + h * sum2);
    if (diff1 < 0.001)
        fprintf(stderr, "Average diffs are correct\n");
    else
        fprintf(stderr, "Average diffs are wrong: diff1 = %7.5f\n", diff1);
    if (diff2 < 20)  /* float-to-integer roundoff */
        fprintf(stderr, "Pixel sums are correct\n");
    else
        fprintf(stderr, "Pixel sums are in error: diff = %7.0f\n", diff2);

    /* Variance left and right halves.  Variance doesn't average
     * in a simple way, unlike pixel sums. */
    pixVarianceInRect(pixs, box1, &var1);  /* entire image */
    pixVarianceInRect(pixs, box2, &var2);  /* entire image */
    pixVarianceInRect(pixs, NULL, &var3);  /* entire image */
    fprintf(stderr, "0.5 * (var1 + var2) = %7.3f, var3 = %7.3f\n",
            0.5 * (var1 + var2), var3);
    boxDestroy(&box1);
    boxDestroy(&box2);
    numaDestroy(&na1);
    numaDestroy(&na2);
#endif

    /* -------------------------------------------------------------------*
     *                     Row and column variances                       *
     * -------------------------------------------------------------------*/
#if  DO_ALL

    /* Display variance by rows and columns */
    box1 = boxCreate(415, 0, 130, 425);
    boxGetGeometry(box1, NULL, NULL, &bw, &bh);
    na1 = pixVarianceByRow(pixs, box1);
    na2 = pixVarianceByColumn(pixs, box1);
    pix = pixConvertTo32(pixs);
    pix1 = pixCopy(NULL, pix);
    pixRenderPlotFromNumaGen(&pix, na1, L_VERTICAL_LINE, 3, 415, 100, 1,
                             0xff000000);
    pixRenderPlotFromNumaGen(&pix, na2, L_HORIZONTAL_LINE, 3, bh / 2, 100, 1,
                             0x00ff0000);
    pixRenderPlotFromNuma(&pix1, na1, L_PLOT_AT_LEFT, 3, 60, 0x00ff0000);
    pixRenderPlotFromNuma(&pix1, na1, L_PLOT_AT_MID_VERT, 3, 60, 0x0000ff00);
    pixRenderPlotFromNuma(&pix1, na1, L_PLOT_AT_RIGHT, 3, 60, 0xff000000);
    pixRenderPlotFromNuma(&pix1, na2, L_PLOT_AT_TOP, 3, 60, 0x0000ff00);
    pixRenderPlotFromNuma(&pix1, na2, L_PLOT_AT_MID_HORIZ, 3, 60, 0xff000000);
    pixRenderPlotFromNuma(&pix1, na2, L_PLOT_AT_BOT, 3, 60, 0x00ff0000);
    pixDisplay(pix, 500, 900);
    pixDisplay(pix1, 500, 1000);
    boxDestroy(&box1);
    numaDestroy(&na1);
    numaDestroy(&na2);
    pixDestroy(&pix);
    pixDestroy(&pix1);
    pixDestroy(&pixs);

    /* Again on a different image */
    pix1 = pixRead("boxedpage.jpg");
    pix2 = pixConvertTo8(pix1, 0);
    pixGetDimensions(pix2, &w, &h, NULL);
    na1 = pixVarianceByRow(pix2, NULL);
    pix3 = pixConvertTo32(pix1);
    pixRenderPlotFromNumaGen(&pix3, na1, L_VERTICAL_LINE, 3, 0, 70, 1,
                             0xff000000);
    na2 = pixVarianceByColumn(pix2, NULL);
    pixRenderPlotFromNumaGen(&pix3, na2, L_HORIZONTAL_LINE, 3, bh - 1, 70, 1,
                             0x00ff0000);
    pixDisplay(pix3, 1000, 0);
    numaDestroy(&na1);
    numaDestroy(&na2);
    pixDestroy(&pix3);

    /* Again, with an erosion */
    pix3 = pixErodeGray(pix2, 3, 21);
    pixDisplay(pix3, 1400, 0);
    na1 = pixVarianceByRow(pix3, NULL);
    pix4 = pixConvertTo32(pix1);
    pixRenderPlotFromNumaGen(&pix4, na1, L_VERTICAL_LINE, 3, 30, 70, 1,
                             0xff000000);
    na2 = pixVarianceByColumn(pix3, NULL);
    pixRenderPlotFromNumaGen(&pix4, na2, L_HORIZONTAL_LINE, 3, bh - 1, 70, 1,
                             0x00ff0000);
    pixDisplay(pix4, 1000, 550);
    numaDestroy(&na1);
    numaDestroy(&na2);
    pixDestroy(&pix1);
    pixDestroy(&pix2);
    pixDestroy(&pix3);
    pixDestroy(&pix4);
#endif

    /* -------------------------------------------------------------------*
     *                    Windowed variance along a line                  *
     * -------------------------------------------------------------------*/
#if  DO_ALL
    pix1 = pixRead("boxedpage.jpg");
    pix2 = pixConvertTo8(pix1, 0);
    pixGetDimensions(pix2, &w, &h, NULL);
    pix3 = pixCopy(NULL, pix1);

    /* Plot along horizontal line */
    pixWindowedVarianceOnLine(pix2, L_HORIZONTAL_LINE, h / 2 - 30, 0,
                              w, 5, &na1);
    pixRenderPlotFromNumaGen(&pix1, na1, L_HORIZONTAL_LINE, 3, h / 2 - 30,
                             80, 1, 0xff000000);
    pixRenderPlotFromNuma(&pix3, na1, L_PLOT_AT_TOP, 3, 60, 0x00ff0000);
    pixRenderPlotFromNuma(&pix3, na1, L_PLOT_AT_BOT, 3, 60, 0x0000ff00);

    /* Plot along vertical line */
    pixWindowedVarianceOnLine(pix2, L_VERTICAL_LINE, 0.78 * w, 0,
                              h, 5, &na2);
    pixRenderPlotFromNumaGen(&pix1, na2, L_VERTICAL_LINE, 3, 0.78 * w, 60,
                             1, 0x00ff0000);
    pixRenderPlotFromNuma(&pix3, na2, L_PLOT_AT_LEFT, 3, 60, 0xff000000);
    pixRenderPlotFromNuma(&pix3, na2, L_PLOT_AT_RIGHT, 3, 60, 0x00ff0000);
    pixDisplay(pix1, 1000, 1000);
    pixDisplay(pix3, 1500, 1000);
    pixDestroy(&pix1);
    pixDestroy(&pix2);
    pixDestroy(&pix3);
    numaDestroy(&na1);
    numaDestroy(&na2);
#endif
    return 0;
}
Exemplo n.º 4
0
int main(int    argc,
         char **argv)
{
l_int32      i, j;
l_int32      w, h, bw, bh, wpls, rval, gval, bval, same;
l_uint32     pixel;
l_uint32    *lines, *datas;
l_float32    sum1, sum2, ave1, ave2, ave3, ave4, diff1, diff2;
l_float32    var1, var2, var3;
BOX         *box1, *box2;
NUMA        *na, *na1, *na2, *na3, *na4;
PIX         *pix, *pixs, *pix1, *pix2, *pix3, *pix4, *pix5, *pixg, *pixd;
PIXA        *pixa;
L_REGPARAMS  *rp;

    if (regTestSetup(argc, argv, &rp))
        return 1;

    lept_mkdir("lept/numa2");

    /* -------------------------------------------------------------------*
     *                         Numa-windowed stats                        *
     * -------------------------------------------------------------------*/
    na = numaRead("lyra.5.na");
    numaWindowedStats(na, 5, &na1, &na2, &na3, &na4);
    gplotSimple1(na, GPLOT_PNG, "/tmp/lept/numa2/lyra1", "Original");
    gplotSimple1(na1, GPLOT_PNG, "/tmp/lept/numa2/lyra2", "Mean");
    gplotSimple1(na2, GPLOT_PNG, "/tmp/lept/numa2/lyra3", "Mean Square");
    gplotSimple1(na3, GPLOT_PNG, "/tmp/lept/numa2/lyra4", "Variance");
    gplotSimple1(na4, GPLOT_PNG, "/tmp/lept/numa2/lyra5", "RMS Difference");
    pix1 = pixRead("/tmp/lept/numa2/lyra1.png");
    pix2 = pixRead("/tmp/lept/numa2/lyra2.png");
    pix3 = pixRead("/tmp/lept/numa2/lyra3.png");
    pix4 = pixRead("/tmp/lept/numa2/lyra4.png");
    pix5 = pixRead("/tmp/lept/numa2/lyra5.png");
    regTestWritePixAndCheck(rp, pix1, IFF_PNG);  /* 0 */
    regTestWritePixAndCheck(rp, pix2, IFF_PNG);  /* 1 */
    regTestWritePixAndCheck(rp, pix3, IFF_PNG);  /* 2 */
    regTestWritePixAndCheck(rp, pix4, IFF_PNG);  /* 3 */
    regTestWritePixAndCheck(rp, pix5, IFF_PNG);  /* 4 */
    pixa = pixaCreate(5);
    pixaAddPix(pixa, pix1, L_INSERT);
    pixaAddPix(pixa, pix2, L_INSERT);
    pixaAddPix(pixa, pix3, L_INSERT);
    pixaAddPix(pixa, pix4, L_INSERT);
    pixaAddPix(pixa, pix5, L_INSERT);
    if (rp->display) {
        pixd = pixaDisplayTiledInRows(pixa, 32, 1500, 1.0, 0, 20, 2);
        pixDisplayWithTitle(pixd, 0, 0, NULL, 1);
        pixDestroy(&pixd);
    }
    pixaDestroy(&pixa);
    numaDestroy(&na);
    numaDestroy(&na1);
    numaDestroy(&na2);
    numaDestroy(&na3);
    numaDestroy(&na4);

    /* -------------------------------------------------------------------*
     *                        Extraction on a line                        *
     * -------------------------------------------------------------------*/
        /* First, make a pretty image */
    w = h = 200;
    pixs = pixCreate(w, h, 32);
    wpls = pixGetWpl(pixs);
    datas = pixGetData(pixs);
    for (i = 0; i < 200; i++) {
        lines = datas + i * wpls;
        for (j = 0; j < 200; j++) {
            rval = (l_int32)((255. * j) / w + (255. * i) / h);
            gval = (l_int32)((255. * 2 * j) / w + (255. * 2 * i) / h) % 255;
            bval = (l_int32)((255. * 4 * j) / w + (255. * 4 * i) / h) % 255;
            composeRGBPixel(rval, gval, bval, &pixel);
            lines[j] = pixel;
        }
    }
    pixg = pixConvertTo8(pixs, 0);  /* and a grayscale version */
    regTestWritePixAndCheck(rp, pixg, IFF_PNG);  /* 5 */
    pixDisplayWithTitle(pixg, 0, 300, NULL, rp->display);

    na1 = pixExtractOnLine(pixg, 20, 20, 180, 20, 1);
    na2 = pixExtractOnLine(pixg, 40, 30, 40, 170, 1);
    na3 = pixExtractOnLine(pixg, 20, 170, 180, 30, 1);
    na4 = pixExtractOnLine(pixg, 20, 190, 180, 10, 1);
    gplotSimple1(na1, GPLOT_PNG, "/tmp/lept/numa2/ext1", "Horizontal");
    gplotSimple1(na2, GPLOT_PNG, "/tmp/lept/numa2/ext2", "Vertical");
    gplotSimple1(na3, GPLOT_PNG, "/tmp/lept/numa2/ext3",
                "Slightly more horizontal than vertical");
    gplotSimple1(na4, GPLOT_PNG, "/tmp/lept/numa2/ext4",
                "Slightly more vertical than horizontal");
    pix1 = pixRead("/tmp/lept/numa2/ext1.png");
    pix2 = pixRead("/tmp/lept/numa2/ext2.png");
    pix3 = pixRead("/tmp/lept/numa2/ext3.png");
    pix4 = pixRead("/tmp/lept/numa2/ext4.png");
    regTestWritePixAndCheck(rp, pix1, IFF_PNG);  /* 6 */
    regTestWritePixAndCheck(rp, pix2, IFF_PNG);  /* 7 */
    regTestWritePixAndCheck(rp, pix3, IFF_PNG);  /* 8 */
    regTestWritePixAndCheck(rp, pix4, IFF_PNG);  /* 9 */
    pixa = pixaCreate(4);
    pixaAddPix(pixa, pix1, L_INSERT);
    pixaAddPix(pixa, pix2, L_INSERT);
    pixaAddPix(pixa, pix3, L_INSERT);
    pixaAddPix(pixa, pix4, L_INSERT);
    if (rp->display) {
        pixd = pixaDisplayTiledInRows(pixa, 32, 1500, 1.0, 0, 20, 2);
        pixDisplayWithTitle(pixd, 300, 0, NULL, 1);
        pixDestroy(&pixd);
    }
    pixaDestroy(&pixa);
    pixDestroy(&pixg);
    pixDestroy(&pixs);
    numaDestroy(&na1);
    numaDestroy(&na2);
    numaDestroy(&na3);
    numaDestroy(&na4);

    /* -------------------------------------------------------------------*
     *                     Row and column pixel sums                      *
     * -------------------------------------------------------------------*/
        /* Sum by columns in two halves (left and right) */
    pixs = pixRead("test8.jpg");
    pixGetDimensions(pixs, &w, &h, NULL);
    box1 = boxCreate(0, 0, w / 2, h);
    box2 = boxCreate(w / 2, 0, w - 2 / 2, h);
    na1 = pixAverageByColumn(pixs, box1, L_BLACK_IS_MAX);
    na2 = pixAverageByColumn(pixs, box2, L_BLACK_IS_MAX);
    numaJoin(na1, na2, 0, -1);
    na3 = pixAverageByColumn(pixs, NULL, L_BLACK_IS_MAX);
    numaSimilar(na1, na3, 0.0, &same);  /* for columns */
    regTestCompareValues(rp, 1, same, 0);  /* 10 */
    pix1 = pixConvertTo32(pixs);
    pixRenderPlotFromNumaGen(&pix1, na3, L_HORIZONTAL_LINE, 3, h / 2, 80, 1,
                             0xff000000);
    pixRenderPlotFromNuma(&pix1, na3, L_PLOT_AT_BOT, 3, 80, 0xff000000);
    boxDestroy(&box1);
    boxDestroy(&box2);
    numaDestroy(&na1);
    numaDestroy(&na2);
    numaDestroy(&na3);

        /* Sum by rows in two halves (top and bottom) */
    box1 = boxCreate(0, 0, w, h / 2);
    box2 = boxCreate(0, h / 2, w, h - h / 2);
    na1 = pixAverageByRow(pixs, box1, L_WHITE_IS_MAX);
    na2 = pixAverageByRow(pixs, box2, L_WHITE_IS_MAX);
    numaJoin(na1, na2, 0, -1);
    na3 = pixAverageByRow(pixs, NULL, L_WHITE_IS_MAX);
    numaSimilar(na1, na3, 0.0, &same);  /* for rows */
    regTestCompareValues(rp, 1, same, 0);  /* 11 */
    pixRenderPlotFromNumaGen(&pix1, na3, L_VERTICAL_LINE, 3, w / 2, 80, 1,
                             0x00ff0000);
    pixRenderPlotFromNuma(&pix1, na3, L_PLOT_AT_RIGHT, 3, 80, 0x00ff0000);
    regTestWritePixAndCheck(rp, pix1, IFF_PNG);  /* 12 */
    pixDisplayWithTitle(pix1, 0, 600, NULL, rp->display);
    pixDestroy(&pix1);
    boxDestroy(&box1);
    boxDestroy(&box2);
    numaDestroy(&na1);
    numaDestroy(&na2);
    numaDestroy(&na3);

        /* Average left by rows; right by columns; compare totals */
    box1 = boxCreate(0, 0, w / 2, h);
    box2 = boxCreate(w / 2, 0, w - 2 / 2, h);
    na1 = pixAverageByRow(pixs, box1, L_WHITE_IS_MAX);
    na2 = pixAverageByColumn(pixs, box2, L_WHITE_IS_MAX);
    numaGetSum(na1, &sum1);  /* sum of averages of left box */
    numaGetSum(na2, &sum2);  /* sum of averages of right box */
    ave1 = sum1 / h;
    ave2 = 2.0 * sum2 / w;
    ave3 = 0.5 * (ave1 + ave2);  /* average over both halves */
    regTestCompareValues(rp, 189.59, ave1, 0.01);  /* 13 */
    regTestCompareValues(rp, 207.89, ave2, 0.01);  /* 14 */

    if (rp->display) {
        fprintf(stderr, "ave1 = %8.4f\n", sum1 / h);
        fprintf(stderr, "ave2 = %8.4f\n", 2.0 * sum2 / w);
    }
    pixAverageInRect(pixs, NULL, &ave4);  /* entire image */
    diff1 = ave4 - ave3;
    diff2 = w * h * ave4 - (0.5 * w * sum1 + h * sum2);
    regTestCompareValues(rp, 0.0, diff1, 0.001);  /* 15 */
    regTestCompareValues(rp, 10.0, diff2, 10.0);  /* 16 */

        /* Variance left and right halves.  Variance doesn't average
         * in a simple way, unlike pixel sums. */
    pixVarianceInRect(pixs, box1, &var1);  /* entire image */
    pixVarianceInRect(pixs, box2, &var2);  /* entire image */
    pixVarianceInRect(pixs, NULL, &var3);  /* entire image */
    regTestCompareValues(rp, 82.06, 0.5 * (var1 + var2), 0.01);  /* 17 */
    regTestCompareValues(rp, 82.66, var3, 0.01);  /* 18 */
    boxDestroy(&box1);
    boxDestroy(&box2);
    numaDestroy(&na1);
    numaDestroy(&na2);

    /* -------------------------------------------------------------------*
     *                     Row and column variances                       *
     * -------------------------------------------------------------------*/
        /* Display variance by rows and columns */
    box1 = boxCreate(415, 0, 130, 425);
    boxGetGeometry(box1, NULL, NULL, &bw, &bh);
    na1 = pixVarianceByRow(pixs, box1);
    na2 = pixVarianceByColumn(pixs, box1);
    pix1 = pixConvertTo32(pixs);
    pix2 = pixCopy(NULL, pix1);
    pixRenderPlotFromNumaGen(&pix1, na1, L_VERTICAL_LINE, 3, 415, 100, 1,
                             0xff000000);
    pixRenderPlotFromNumaGen(&pix1, na2, L_HORIZONTAL_LINE, 3, bh / 2, 100, 1,
                          0x00ff0000);
    pixRenderPlotFromNuma(&pix2, na1, L_PLOT_AT_LEFT, 3, 60, 0x00ff0000);
    pixRenderPlotFromNuma(&pix2, na1, L_PLOT_AT_MID_VERT, 3, 60, 0x0000ff00);
    pixRenderPlotFromNuma(&pix2, na1, L_PLOT_AT_RIGHT, 3, 60, 0xff000000);
    pixRenderPlotFromNuma(&pix2, na2, L_PLOT_AT_TOP, 3, 60, 0x0000ff00);
    pixRenderPlotFromNuma(&pix2, na2, L_PLOT_AT_MID_HORIZ, 3, 60, 0xff000000);
    pixRenderPlotFromNuma(&pix2, na2, L_PLOT_AT_BOT, 3, 60, 0x00ff0000);
    regTestWritePixAndCheck(rp, pix1, IFF_PNG);  /* 19 */
    regTestWritePixAndCheck(rp, pix2, IFF_PNG);  /* 20 */
    pixa = pixaCreate(2);
    pixaAddPix(pixa, pix1, L_INSERT);
    pixaAddPix(pixa, pix2, L_INSERT);
    if (rp->display) {
        pixd = pixaDisplayTiledInRows(pixa, 32, 1500, 1.0, 0, 20, 2);
        pixDisplayWithTitle(pixd, 400, 600, NULL, 1);
        pixDestroy(&pixd);
    }
    pixaDestroy(&pixa);
    boxDestroy(&box1);
    numaDestroy(&na1);
    numaDestroy(&na2);
    pixDestroy(&pixs);

        /* Again on a different image */
    pix1 = pixRead("boxedpage.jpg");
    pix2 = pixConvertTo8(pix1, 0);
    pixGetDimensions(pix2, &w, &h, NULL);
    na1 = pixVarianceByRow(pix2, NULL);
    pix3 = pixConvertTo32(pix1);
    pixRenderPlotFromNumaGen(&pix3, na1, L_VERTICAL_LINE, 3, 0, 70, 1,
                             0xff000000);
    na2 = pixVarianceByColumn(pix2, NULL);
    pixRenderPlotFromNumaGen(&pix3, na2, L_HORIZONTAL_LINE, 3, bh - 1, 70, 1,
                             0x00ff0000);
    regTestWritePixAndCheck(rp, pix3, IFF_PNG);  /* 21 */
    numaDestroy(&na1);
    numaDestroy(&na2);

        /* Again, with an erosion */
    pix4 = pixErodeGray(pix2, 3, 21);
    na1 = pixVarianceByRow(pix4, NULL);
    pix5 = pixConvertTo32(pix1);
    pixRenderPlotFromNumaGen(&pix5, na1, L_VERTICAL_LINE, 3, 30, 70, 1,
                             0xff000000);
    na2 = pixVarianceByColumn(pix4, NULL);
    pixRenderPlotFromNumaGen(&pix5, na2, L_HORIZONTAL_LINE, 3, bh - 1, 70, 1,
                             0x00ff0000);
    regTestWritePixAndCheck(rp, pix5, IFF_PNG);  /* 22 */
    pixa = pixaCreate(2);
    pixaAddPix(pixa, pix3, L_INSERT);
    pixaAddPix(pixa, pix5, L_INSERT);
    if (rp->display) {
        pixd = pixaDisplayTiledInRows(pixa, 32, 1500, 1.0, 0, 20, 2);
        pixDisplayWithTitle(pixd, 800, 600, NULL, 1);
        pixDestroy(&pixd);
    }
    pixaDestroy(&pixa);
    pixDestroy(&pix1);
    pixDestroy(&pix2);
    pixDestroy(&pix4);
    numaDestroy(&na1);
    numaDestroy(&na2);

    /* -------------------------------------------------------------------*
     *                    Windowed variance along a line                  *
     * -------------------------------------------------------------------*/
    pix1 = pixRead("boxedpage.jpg");
    pix2 = pixConvertTo8(pix1, 0);
    pixGetDimensions(pix2, &w, &h, NULL);
    pix3 = pixCopy(NULL, pix1);

        /* Plot along horizontal line */
    pixWindowedVarianceOnLine(pix2, L_HORIZONTAL_LINE, h / 2 - 30, 0,
                              w, 5, &na1);
    pixRenderPlotFromNumaGen(&pix1, na1, L_HORIZONTAL_LINE, 3, h / 2 - 30,
                             80, 1, 0xff000000);
    pixRenderPlotFromNuma(&pix3, na1, L_PLOT_AT_TOP, 3, 60, 0x00ff0000);
    pixRenderPlotFromNuma(&pix3, na1, L_PLOT_AT_BOT, 3, 60, 0x0000ff00);

        /* Plot along vertical line */
    pixWindowedVarianceOnLine(pix2, L_VERTICAL_LINE, 0.78 * w, 0,
                              h, 5, &na2);
    pixRenderPlotFromNumaGen(&pix1, na2, L_VERTICAL_LINE, 3, 0.78 * w, 60,
                             1, 0x00ff0000);
    pixRenderPlotFromNuma(&pix3, na2, L_PLOT_AT_LEFT, 3, 60, 0xff000000);
    pixRenderPlotFromNuma(&pix3, na2, L_PLOT_AT_RIGHT, 3, 60, 0x00ff0000);
    regTestWritePixAndCheck(rp, pix1, IFF_PNG);  /* 23 */
    regTestWritePixAndCheck(rp, pix3, IFF_PNG);  /* 24 */
    pixa = pixaCreate(2);
    pixaAddPix(pixa, pix1, L_INSERT);
    pixaAddPix(pixa, pix3, L_INSERT);
    if (rp->display) {
        pixd = pixaDisplayTiledInRows(pixa, 32, 1500, 1.0, 0, 20, 2);
        pixDisplayWithTitle(pixd, 1200, 600, NULL, 1);
        pixDestroy(&pixd);
    }
    pixaDestroy(&pixa);
    pixDestroy(&pix2);
    numaDestroy(&na1);
    numaDestroy(&na2);

    return regTestCleanup(rp);;
}