Index: trunk/psLib/src/fft/psImageFFT.c
===================================================================
--- trunk/psLib/src/fft/psImageFFT.c	(revision 28667)
+++ trunk/psLib/src/fft/psImageFFT.c	(revision 28998)
@@ -532,2 +532,330 @@
     return out;
 }
+
+void psKernelFFTFree(psKernelFFT *kernel) {
+
+    if (!kernel->fft) return;
+    
+    bool threaded = psThreadPoolSize(); // Are we running threaded?
+
+    FFTW_LOCK;
+    fftwf_free(kernel->fft);
+    FFTW_UNLOCK;
+
+    return;
+}
+
+psKernelFFT *psKernelFFTAlloc(const psKernel *input) {
+
+    psKernelFFT *kernel = psAlloc(sizeof(psKernelFFT));
+    psMemSetDeallocator(kernel, (psFreeFunc)psKernelFFTFree);
+
+    kernel->fft = NULL;
+
+    kernel->xMin = input->xMin;
+    kernel->xMax = input->xMax;
+    kernel->yMin = input->yMin;
+    kernel->yMax = input->yMax;
+
+    kernel->paddedCols = 0;
+    kernel->paddedRows = 0;
+
+    return kernel;
+}
+
+// generate the FFTed kernel image appropriate to be used for convolution of the given input image
+psKernelFFT *psImageConvolveKernelInit(const psImage *in, const psKernel *kernel)
+{
+    PS_ASSERT_IMAGE_NON_NULL(in, NULL);
+    PS_ASSERT_IMAGE_TYPE(in, PS_TYPE_F32, NULL);
+    PS_ASSERT_KERNEL_NON_NULL(kernel, NULL);
+
+    bool threaded = psThreadPoolSize(); // Are we running threaded?
+
+    int numCols = in->numCols, numRows = in->numRows; // Size of image
+    int xMin = kernel->xMin, xMax = kernel->xMax, yMin = kernel->yMin, yMax = kernel->yMax; // Kernel sizes
+
+    // Need to pad the kernel (and later the input image) to protect from wrap-around effects
+    if (xMax - xMin > numCols || yMax - yMin > numRows) {
+        // Cannot pad the image if the kernel is larger.
+        psError(PS_ERR_BAD_PARAMETER_SIZE, true,
+                _("Kernel cannot extend further than input image size (%dx%d vs %dx%d)."),
+                xMax, yMax, numCols, numRows);
+        return NULL;
+    }
+
+    int paddedCols = numCols + PS_MAX(-xMin, xMax); // Number of columns in padded image
+    int paddedRows = numRows + PS_MAX(-yMin, yMax); // Number of rows in padded image
+
+#if CONVOLVE_FFT_BINARY_SIZE
+    // Make the size an integer power of two
+    {
+        int twoCols, twoRows;           // Size that is a factor of two
+        for (twoCols = 1; twoCols <= paddedCols && twoCols < INT_MAX - 1; twoCols <<= 1); // No action
+        for (twoRows = 1; twoRows <= paddedRows && twoRows < INT_MAX - 1; twoRows <<= 1); // No action
+        if (paddedCols > twoCols || paddedRows > twoRows) {
+            psError(PS_ERR_BAD_PARAMETER_SIZE, true, "Unable to scale size (%dx%d) up to factor of two",
+                    paddedCols, paddedRows);
+            return NULL;
+        }
+        paddedCols = twoCols;
+        paddedRows = twoRows;
+    }
+#endif
+
+    int numPadded = paddedCols * paddedRows; // Number of pixels in padded image
+
+    // Create data array containing the padded kernel
+    FFTW_LOCK;
+    psF32 *data = fftwf_malloc(numPadded * PSELEMTYPE_SIZEOF(PS_TYPE_F32)); // Data for FFTW
+    FFTW_UNLOCK;
+
+    // Generate the padded kernel image.  We could generate the padded kernel image using
+    // memcpy, but by going pixel by pixel we can apply the normalisation that corrects for the
+    // FFT renormalisation.  By applying it to the kernel here, we save applying it to the
+    // output image(s).
+
+    // copy kernel into data array
+    psF32 *dataPtr = data;              // Pointer into FFTW data
+    float norm = 1.0 / (float)(paddedRows * paddedCols); // Normalisation to correct for FFT
+
+    int xNegMin = PS_MIN(-1, xMin), xNegMax = PS_MIN(-1, xMax); // Min and max for x when negative
+    int xPosMin = PS_MAX(0, xMin), xPosMax = PS_MAX(0, xMax); // Min and max for x when positive
+    int yNegMin = PS_MIN(-1, yMin), yNegMax = PS_MIN(-1, yMax); // Min and max for x when negative
+    int yPosMin = PS_MAX(0, yMin), yPosMax = PS_MAX(0, yMax); // Min and max for x when positive
+    int blankCols = xNegMin + paddedCols - xPosMax - 1; // Number of columns between kernel extrema
+    int blankRows = (yNegMin + paddedRows - yPosMax - 1) * paddedCols; // Rows between kernel extrema
+    size_t blankColBytes = blankCols * PSELEMTYPE_SIZEOF(PS_TYPE_F32); // Number of bytes in blankCols
+    for (int y = yPosMin; y <= yPosMax; y++) {
+        // y is positive
+        for (int x = xPosMin; x <= xPosMax; x++, dataPtr++) {
+            // x is positive
+            *dataPtr = kernel->kernel[y][x] * norm;
+        }
+        // Columns between kernel extrema
+        memset(dataPtr, 0, blankColBytes);
+        dataPtr += blankCols;
+        for (int x = xNegMin; x <= xNegMax; x++, dataPtr++) {
+            // x is negative
+            *dataPtr = kernel->kernel[y][x] * norm;
+        }
+    }
+    // Rows between kernel extrema
+    memset(dataPtr, 0, blankRows * PSELEMTYPE_SIZEOF(PS_TYPE_F32));
+    dataPtr += blankRows;
+    for (int y = yNegMin; y <= yNegMax; y++) {
+        // y is negative
+        for (int x = xPosMin; x <= xPosMax; x++, dataPtr++) {
+            // x is positive
+            *dataPtr = kernel->kernel[y][x] * norm;
+        }
+        // Columns between kernel extrema
+        memset(dataPtr, 0, blankColBytes);
+        dataPtr += blankCols;
+        for (int x = xNegMin; x <= xNegMax; x++, dataPtr++) {
+            // x is negative
+            *dataPtr = kernel->kernel[y][x] * norm;
+        }
+    }
+
+#if 0
+    {
+        // Use this for inspecting the result of copying the kernel
+        psImage *test = psImageAlloc(paddedCols, paddedRows, PS_TYPE_F32);
+        psFree(test->p_rawDataBuffer);
+        test->p_rawDataBuffer = data;
+        test->data.V[0] = test->p_rawDataBuffer;
+        for (int y = 1; y < paddedRows; y++) {
+            test->data.V[y] = (psPtr)((int8_t *)test->data.V[y - 1] + paddedCols * PSELEMTYPE_SIZEOF(PS_TYPE_F32));
+        }
+        // View image here or write to disk
+        test->p_rawDataBuffer = NULL;
+        psFree(test);
+    }
+#endif
+
+    // Do the forward FFT
+    // Note that the FFT images have different size from the input
+    FFTW_LOCK;
+    fftwf_complex *fft = fftwf_malloc((paddedCols/2 + 1) * paddedRows * sizeof(fftwf_complex)); // FFT
+    FFTW_UNLOCK;
+
+    FFTW_LOCK;
+    fftwf_plan plan = fftwf_plan_dft_r2c_2d(paddedRows, paddedCols, data, fft, FFTW_PLAN_RIGOR);
+    FFTW_UNLOCK;
+
+    fftwf_execute(plan);
+
+    FFTW_LOCK;
+    fftwf_destroy_plan(plan);
+    fftwf_free(data);
+    FFTW_UNLOCK;
+
+    psKernelFFT *output = psKernelFFTAlloc(kernel);
+    output->fft = fft;
+    output->paddedCols = paddedCols;
+    output->paddedRows = paddedRows;
+
+    return output;
+}
+
+psImage *psImageConvolveKernel(psImage *out, const psImage *in, const psImage *mask, psImageMaskType maskVal, const psKernelFFT *kernel)
+{
+    PS_ASSERT_IMAGE_NON_NULL(in, NULL);
+    PS_ASSERT_IMAGE_TYPE(in, PS_TYPE_F32, NULL);
+    PS_ASSERT_PTR_NON_NULL(kernel, NULL);
+    PS_ASSERT_PTR_NON_NULL(kernel->fft, NULL);
+    if (mask) {
+        PS_ASSERT_IMAGE_NON_NULL(mask, NULL);
+        PS_ASSERT_IMAGE_TYPE(mask, PS_TYPE_IMAGE_MASK, NULL);
+        PS_ASSERT_IMAGES_SIZE_EQUAL(mask, in, NULL);
+    }
+
+    bool threaded = psThreadPoolSize(); // Are we running threaded?
+
+    int numCols = in->numCols, numRows = in->numRows; // Size of image
+    int xMin = kernel->xMin, xMax = kernel->xMax, yMin = kernel->yMin, yMax = kernel->yMax; // Kernel sizes
+
+    // Need to pad the input image to protect from wrap-around effects
+    if (xMax - xMin > numCols || yMax - yMin > numRows) {
+        // Cannot pad the image if the kernel is larger.
+        psError(PS_ERR_BAD_PARAMETER_SIZE, true, _("Kernel cannot extend further than input image size (%dx%d vs %dx%d)."), xMax, yMax, numCols, numRows);
+        return NULL;
+    }
+
+    int paddedCols = numCols + PS_MAX(-xMin, xMax); // Number of columns in padded image
+    int paddedRows = numRows + PS_MAX(-yMin, yMax); // Number of rows in padded image
+
+#if CONVOLVE_FFT_BINARY_SIZE
+    // Make the size an integer power of two
+    {
+        int twoCols, twoRows;           // Size that is a factor of two
+        for (twoCols = 1; twoCols <= paddedCols && twoCols < INT_MAX - 1; twoCols <<= 1); // No action
+        for (twoRows = 1; twoRows <= paddedRows && twoRows < INT_MAX - 1; twoRows <<= 1); // No action
+        if (paddedCols > twoCols || paddedRows > twoRows) {
+            psError(PS_ERR_BAD_PARAMETER_SIZE, true, "Unable to scale size (%dx%d) up to factor of two",
+                    paddedCols, paddedRows);
+            return NULL;
+        }
+        paddedCols = twoCols;
+        paddedRows = twoRows;
+    }
+#endif
+
+    if (paddedCols != kernel->paddedCols) {
+        psError(PS_ERR_BAD_PARAMETER_SIZE, true, _("Image is inconsistent with allocated kernel"));
+        return NULL;
+    }	
+    if (paddedRows != kernel->paddedRows) {
+        psError(PS_ERR_BAD_PARAMETER_SIZE, true, _("Image is inconsistent with allocated kernel"));
+        return NULL;
+    }	
+
+    int numPadded = paddedCols * paddedRows; // Number of pixels in padded image
+
+    // Create data array containing the padded image
+    FFTW_LOCK;
+    psF32 *data = fftwf_malloc(numPadded * PSELEMTYPE_SIZEOF(PS_TYPE_F32)); // Data for FFTW
+    FFTW_UNLOCK;
+    psF32 *dataPtr = data;              // Pointer into FFTW data
+    psF32 **imageData = in->data.F32;   // Pointer into image data
+
+    // Copy image into data array
+    size_t goodBytes = numCols * PSELEMTYPE_SIZEOF(PS_TYPE_F32); // Number of bytes per image row
+    size_t padBytes = (paddedCols - numCols) * PSELEMTYPE_SIZEOF(PS_TYPE_F32); // Number of bytes to pad
+    for (int y = 0; y < numRows; y++, dataPtr += paddedCols, imageData++) {
+        memcpy(dataPtr, *imageData, goodBytes);
+        memset(dataPtr + numCols, 0, padBytes);
+    }
+    memset(dataPtr, 0, (paddedRows - numRows) * paddedCols * PSELEMTYPE_SIZEOF(PS_TYPE_F32));
+
+#if 0
+    {
+        // Use this for inspecting the result of copying the image
+        psImage *test = psImageAlloc(paddedCols, paddedRows, PS_TYPE_F32);
+        psFree(test->p_rawDataBuffer);
+        test->p_rawDataBuffer = data;
+        test->data.V[0] = test->p_rawDataBuffer;
+        for (int y = 1; y < paddedRows; y++) {
+            test->data.V[y] = (psPtr)((int8_t *)test->data.V[y - 1] +
+                                      paddedCols * PSELEMTYPE_SIZEOF(PS_TYPE_F32));
+        }
+        // View image here
+        test->p_rawDataBuffer = NULL;
+        psFree(test);
+    }
+#endif
+
+    // Mask bad pixels (which may be NANs), lest they infect everything
+    if (mask && maskVal) {
+        for (int y = 0; y < numRows; y++) {
+            for (int x = 0; x < numCols; x++) {
+                if (mask->data.PS_TYPE_IMAGE_MASK_DATA[y][x] & maskVal) {
+                    data[x + paddedCols * y] = 0;
+                }
+            }
+        }
+    }
+
+    // Do the forward FFT
+    // Note that the FFT images have different size from the input
+    FFTW_LOCK;
+    fftwf_complex *fft = fftwf_malloc((paddedCols/2 + 1) * paddedRows * sizeof(fftwf_complex)); // FFT
+    FFTW_UNLOCK;
+
+    int fftCols = paddedCols/2 + 1, fftRows = paddedRows; // Size of FFT images
+    int fftPixels = fftCols * fftRows;  // Number of pixels in FFT image
+
+    FFTW_LOCK;
+    fftwf_plan forward = fftwf_plan_dft_r2c_2d(paddedRows, paddedCols, data, fft, FFTW_PLAN_RIGOR);
+    FFTW_UNLOCK;
+
+    fftwf_execute(forward);
+
+    FFTW_LOCK;
+    fftwf_destroy_plan(forward);
+    FFTW_UNLOCK;
+
+    fftwf_complex *kernelFFT = kernel->fft;
+
+    // Multiply the two transforms
+    for (int i = 0; i < fftPixels; i++) {
+        // (a + bi) * (c + di) = (ac - bd) + (bc + ad)i
+#if !defined(FFTW_NO_Complex) && defined(_Complex_I) && defined(complex) && defined(I)
+        // C99 complex support
+        fft[i] *= kernelFFT[i];
+#else
+        // FFTW's backup complex support
+        float imageReal = fft[i][0], imageImag = fft[i][1];
+        float kernelReal = kernelFFT[i][0], kernelImag = kernelFFT[i][1];
+        fft[i][0] = imageReal * kernelReal - imageImag * kernelImag;
+        fft[i][1] = imageImag * kernelReal + imageReal * kernelImag;
+#endif
+    }
+
+    // Do the backward FFT
+    FFTW_LOCK;
+    fftwf_plan backward = fftwf_plan_dft_c2r_2d(paddedRows, paddedCols, fft, data, FFTW_PLAN_RIGOR);
+    FFTW_UNLOCK;
+
+    fftwf_execute(backward);
+
+    FFTW_LOCK;
+    fftwf_destroy_plan(backward);
+    fftwf_free(fft);
+    FFTW_UNLOCK;
+
+    // Copy into the target, without the padding
+    out = psImageRecycle(out, numCols, numRows, PS_TYPE_F32);
+    psF32 **outData = out->data.F32;    // Pointer into output
+    dataPtr = data;                     // Reset to start
+    for (int y = 0; y < numRows; y++, outData++, dataPtr += paddedCols) {
+        memcpy(*outData, dataPtr, goodBytes);
+    }
+
+    FFTW_LOCK;
+    fftwf_free(data);
+    FFTW_UNLOCK;
+
+    return out;
+}
Index: trunk/psLib/src/fft/psImageFFT.h
===================================================================
--- trunk/psLib/src/fft/psImageFFT.h	(revision 28667)
+++ trunk/psLib/src/fft/psImageFFT.h	(revision 28998)
@@ -15,4 +15,14 @@
 #include "psImage.h"
 #include "psImageConvolve.h"
+
+typedef struct {
+    void *fft;
+    int xMin;                          ///< Most negative x index
+    int yMin;                          ///< Most negative y index
+    int xMax;                          ///< Most positive x index
+    int yMax;                          ///< Most positive y index
+    int paddedCols;
+    int paddedRows;
+} psKernelFFT;
 
 /// @addtogroup MathOps Mathematical Operations
@@ -71,6 +81,26 @@
     const psImage *mask,                ///< Corresponding mask
     psImageMaskType maskVal,		///< Value to mask
-    const psKernel *kernel              ///< kernel to colvolve with
+    const psKernel *kernel              ///< kernel to convolve with
+    );
+
+/// Allocate an the psKernelFFT structure
+psKernelFFT *psKernelFFTAlloc(
+    const psKernel *input		///< kernel to convolve with
 );
+
+/// Generate an FFT'ed kernel suitable for convolution with the given image
+psKernelFFT *psImageConvolveKernelInit(
+    const psImage *in,			///< representative image to convolve
+    const psKernel *kernel		///< kernel to convolve with
+    );
+
+/// Convolve the given image with the pre-FFT'ed kernel
+psImage *psImageConvolveKernel(
+    psImage *out,			///< Output image, or NULL
+    const psImage *in,			///< Image to convolve
+    const psImage *mask,		///< Corresponding mask
+    psImageMaskType maskVal,		///< Value to mask
+    const psKernelFFT *kernel		///< kernel to convolve with
+    );
 
 /// @}
Index: trunk/psLib/src/jpeg/psImageJpeg.c
===================================================================
--- trunk/psLib/src/jpeg/psImageJpeg.c	(revision 28667)
+++ trunk/psLib/src/jpeg/psImageJpeg.c	(revision 28998)
@@ -7,4 +7,5 @@
 #include <string.h>
 
+#include <kapa.h>
 #include "psMemory.h"
 #include "psImage.h"
@@ -134,4 +135,144 @@
     return psImageJpegColormapSet (map, "greyscale");
 }
+
+// XXX need to fix library references for this (psLib does not depend on libkapa)
+# if (0)
+// XXX Add colormap bar with scale (min -> max)
+// XXX Add option to plot the source overlay (pass in bDrawBuffer populated with points?)
+// XXX need to update bDraw APIs to pass in/out structure and avoid the local static 
+bool psImageJpegNew(const psImageJpegColormap *map, const psImage *image, const char *filename,
+                 float min, float max)
+{
+    PS_ASSERT_PTR_NON_NULL(map, false);
+    PS_ASSERT_IMAGE_NON_NULL(image, false);
+    PS_ASSERT_IMAGE_TYPE(image, PS_TYPE_F32, false);
+    PS_ASSERT_VECTOR_NON_NULL(map->red, false);
+    PS_ASSERT_VECTOR_NON_NULL(map->green, false);
+    PS_ASSERT_VECTOR_NON_NULL(map->blue, false);
+    PS_ASSERT_PTR_NON_NULL(filename, false);
+    PS_ASSERT_INT_POSITIVE(strlen(filename), false);
+    PS_ASSERT_FLOAT_REAL(min, false);
+    PS_ASSERT_FLOAT_REAL(max, false);
+
+    float zero, scale;
+    struct jpeg_compress_struct cinfo;
+    struct jpeg_error_mgr jerr;
+
+    long pixel;
+    JSAMPLE *jpegLine;   // Points to data for current line
+    JSAMPROW jpegLineList[1];  // pointer to JSAMPLE row[s]
+    JSAMPLE *jpegImage;
+    JSAMPLE *outPix;
+
+    /* JPEG init calls */
+    cinfo.err = jpeg_std_error (&jerr);
+    jpeg_create_compress (&cinfo);
+
+    /* open file, prep for jpeg */
+    FILE *f = fopen(filename, "w");
+    if (!f) {
+	psError(PS_ERR_IO, true, "failed to open %s for output\n", filename);
+	return false;
+    }
+    jpeg_stdio_dest(&cinfo, f);
+
+    /* set up color jpeg buffers */
+    int quality = 75;
+    cinfo.image_width = image->numCols; // image width and height, in pixels
+    cinfo.image_height = image->numRows;
+    cinfo.input_components = 3;
+    cinfo.in_color_space = JCS_RGB;
+    jpeg_set_defaults (&cinfo);
+    jpeg_set_quality (&cinfo, quality, true); // limit to baseline-JPEG values
+    jpeg_start_compress (&cinfo, true);
+
+    psU8 *Rpix = map->red->data.U8;
+    psU8 *Gpix = map->green->data.U8;
+    psU8 *Bpix = map->blue->data.U8;
+
+    if (max == min) {
+	zero = min - 0.1;
+	scale = 256.0/0.2;
+    } else {
+	zero = min;
+	scale = 256.0/(max - min);
+    }
+
+    int dx = image->numCols;
+    int dy = image->numRows;
+
+    // output image buffer and line buffer
+    jpegLine = psAlloc (3*dx*sizeof(JSAMPLE));
+    jpegImage = psAlloc (3*dx*dy*sizeof(JSAMPLE));
+
+    // first copy the image data into the output buffer 
+    for (int j = 0; j < dy; j++) {
+	psF32 *row = image->data.F32[j];
+
+	outPix = jpegLine;
+	for (int i = 0; i < dx; i++, outPix += 3) {
+	    if (isfinite(row[i])) {
+		pixel = PS_JPEG_SCALEVALUE(row[i],zero,scale);
+		outPix[0] = Rpix[pixel];
+		outPix[1] = Gpix[pixel];
+		outPix[2] = Bpix[pixel];
+	    } else {
+		// XXX NAN value should be set per-color map
+		outPix[0] = 0x00;
+		outPix[1] = 0xff;
+		outPix[2] = 0x00;
+	    }
+	}
+	memcpy (&jpegImage[j*3*dx], jpegLine, 3*dx);
+    }
+
+    bDrawBuffer *bdbuf = bDrawBufferCreate(dx, dy);
+    bDrawSetBuffer(bdbuf);
+    bDrawColor red = KapaColorByName("red");
+    bDrawSetStyle (red, 1, 0);
+    bDrawCircle(40.0, 20.0, 3.0);
+
+    {
+	int Npalette;
+	png_color *palette = KapaPNGPalette (&Npalette);
+	bDrawColor white = KapaColorByName ("white");
+	for (int j = 0; j < dy; j++) {
+	    for (int i = 0; i < dx; i++) {
+		bDrawColor color = bdbuf[0].pixels[j][i];
+		if (color == white) continue;
+		jpegImage[j*3*dx + 3*i + 0] = palette[color].red;
+		jpegImage[j*3*dx + 3*i + 1] = palette[color].green;
+		jpegImage[j*3*dx + 3*i + 2] = palette[color].blue;
+	    }
+	}
+    }
+    bDrawBufferFree (bdbuf);
+
+    // write out the image buffer
+    for (int j = 0; j < image->numRows; j++) {
+	jpegLineList[0] = &jpegImage[j*3*dx];
+	if (jpeg_write_scanlines(&cinfo, jpegLineList, 1) == 0) {
+	    psError(PS_ERR_IO, true, "Unable to write line %d to JPEG", j);
+	    psFree(jpegLine);
+	    psFree(jpegImage);
+	    fclose(f);
+	    return false;
+	}
+    }
+
+    jpeg_finish_compress(&cinfo);
+    if (fclose(f) == EOF) {
+	psError(PS_ERR_IO, true, "Failed to close %s", filename);
+	psFree(jpegLine);
+	psFree(jpegImage);
+	return false;
+    }
+    jpeg_destroy_compress(&cinfo);
+
+    psFree(jpegLine);
+    psFree(jpegImage);
+    return true;
+}
+# endif
 
 bool psImageJpeg(const psImageJpegColormap *map, const psImage *image, const char *filename,
Index: trunk/psLib/src/math/psMinimizeLMM.c
===================================================================
--- trunk/psLib/src/math/psMinimizeLMM.c	(revision 28667)
+++ trunk/psLib/src/math/psMinimizeLMM.c	(revision 28998)
@@ -441,4 +441,7 @@
     }
 
+    // number of degrees of freedom for this fit
+    int nDOF = dy->n - params->n;
+
     // calculate initial alpha and beta, set chisq (min->value)
     min->value = psMinLM_SetABX(alpha, beta, params, paramMask, x, y, dy, func);
@@ -456,12 +459,14 @@
     }
 
-    // iterate until the tolerance is reached, or give up
-    while ((min->iter < min->maxIter) && ((min->lastDelta > min->tol) || !isfinite(min->lastDelta))) {
+    // iterate until: (a) nIter = min->iter or (b) (chisq / ndof) < maxChisq and deltaChisq < minTol (but don't stop unless Chisq is finite)
+    bool done = (min->iter >= min->maxIter);
+    while (!done) {
         psTrace("psLib.math", 5, "Iteration number %d.  (max iterations is %d).\n", min->iter, min->maxIter);
-        psTrace("psLib.math", 5, "Last delta is %f.  Min->tol is %f.\n", min->lastDelta, min->tol);
+        psTrace("psLib.math", 5, "Last delta is %f.  stop if < %f, accept if < %f\n", min->lastDelta, min->minTol, min->maxTol);
 
         // set a new guess for Alpha, Beta, Params
         if (!psMinLM_GuessABP(Alpha, Beta, Params, alpha, beta, params, paramMask, checkLimits, lambda, &dLinear)) {
             min->iter ++;
+	    if (min->iter >=  min->maxIter) break;
             lambda *= 10.0;
             continue;
@@ -482,4 +487,5 @@
         if (isnan(Chisq)) {
             min->iter ++;
+	    if (min->iter >= min->maxIter) break;
             lambda *= 10.0;
             continue;
@@ -492,9 +498,7 @@
         psF32 rho = (min->value - Chisq) / dLinear;
 
-        psTrace("psLib.math", 5, "last chisq: %f, new chisq %f, delta: %f, dLinear: %f, rho: %f, lambda: %f\n", min->value,
-                Chisq, min->lastDelta, dLinear, rho, lambda);
-
-        psTrace("psLib.math.dLinear", 5, "last chisq: %f, new chisq %f, delta: %f, dLinear: %f, rho: %f, lambda: %f\n", min->value,
-                Chisq, min->lastDelta, dLinear, rho, lambda);
+        psTrace("psLib.math", 5, "last chisq: %f, new chisq %f, delta: %f, dLinear: %f, rho: %f, lambda: %f, nDOF: %d\n", min->value, Chisq, min->lastDelta, dLinear, rho, lambda, nDOF);
+
+        psTrace("psLib.math.dLinear", 5, "last chisq: %f, new chisq %f, delta: %f, dLinear: %f, rho: %f, lambda: %f\n", min->value, Chisq, min->lastDelta, dLinear, rho, lambda);
 
         // dump some useful info if trace is defined
@@ -506,5 +510,5 @@
         /* rho is positive if the new chisq is smaller; allow for some insignificant change (slight negative rho) */
         if (rho >= -1e-6) {
-            min->lastDelta = (min->value - Chisq) / (dy->n - params->n);
+            min->lastDelta = (min->value - Chisq) / nDOF;
             min->value = Chisq;
             alpha  = psImageCopy(alpha, Alpha, PS_TYPE_F32);
@@ -516,4 +520,12 @@
         }
         min->iter++;
+
+	done = (min->iter >= min->maxIter);
+	
+	// check for convergence:
+	float chisqDOF = Chisq / nDOF;
+	if (!isfinite(min->maxChisqDOF) || ((chisqDOF < min->maxChisqDOF) && isfinite(min->lastDelta))) {
+	    done |= (min->lastDelta < min->minTol);
+	}
     }
     psTrace("psLib.math", 5, "chisq: %f, last delta: %f, Niter: %d\n", min->value, min->lastDelta, min->iter);
@@ -549,10 +561,12 @@
         psFree(dy);
     }
-    if (min->iter == min->maxIter) {
-        psTrace("psLib.math", 3, "---- end (false) ----\n");
-        return(false);
-    }
-    psTrace("psLib.math", 3, "---- end (true) ----\n");
-    return(true);
+
+    // if the last improvement was at least as good as maxTol, accept the fit:
+    if (min->lastDelta <= min->maxTol) {
+	psTrace("psLib.math", 6, "---- end (true) ----\n");
+        return(true);
+    }
+    psTrace("psLib.math", 6, "---- end (false) ----\n");
+    return(false);
 }
 
@@ -588,6 +602,5 @@
 }
 
-psMinimization *psMinimizationAlloc(int maxIter,
-                                    float tol)
+psMinimization *psMinimizationAlloc(int maxIter, float minTol, float maxTol)
 {
     PS_ASSERT_INT_NONNEGATIVE(maxIter, NULL);
@@ -595,9 +608,13 @@
     psMinimization *min = psAlloc(sizeof(psMinimization));
     psMemSetDeallocator(min, (psFreeFunc)minimizationFree);
+
     P_PSMINIMIZATION_SET_MAXITER(min,maxIter);
-    P_PSMINIMIZATION_SET_TOL(min,tol);
+    P_PSMINIMIZATION_SET_MIN_TOL(min,minTol);
+    P_PSMINIMIZATION_SET_MAX_TOL(min,maxTol);
+
     min->value = 0.0;
     min->iter = 0;
     min->lastDelta = NAN;
+    min->maxChisqDOF = NAN;
 
     return(min);
Index: trunk/psLib/src/math/psMinimizeLMM.h
===================================================================
--- trunk/psLib/src/math/psMinimizeLMM.h	(revision 28667)
+++ trunk/psLib/src/math/psMinimizeLMM.h	(revision 28998)
@@ -33,6 +33,7 @@
 #define PS_MAX_LMM_ITERATIONS 100
 #define PS_MAX_MINIMIZE_ITERATIONS 100
-#define P_PSMINIMIZATION_SET_MAXITER(m,val) *(int*)&m->maxIter = val
-        #define P_PSMINIMIZATION_SET_TOL(m,val) *(float*)&m->tol = val
+#define P_PSMINIMIZATION_SET_MAXITER(m,val) { *(int*)&m->maxIter  = val; }
+#define P_PSMINIMIZATION_SET_MIN_TOL(m,val) { *(float*)&m->minTol = val; }
+#define P_PSMINIMIZATION_SET_MAX_TOL(m,val) { *(float*)&m->maxTol = val; }
 
                 typedef enum {
@@ -75,9 +76,11 @@
 typedef struct
 {
-    const int maxIter;                 ///< Convergence limit
-    const float tol;                   ///< Error Tolerance
+    const int maxIter;			///< Convergence limit
+    const float minTol;			///< Convergence Tolerance (stop if we reach this value)
+    const float maxTol;			///< Max Tolerance (accept fit if last improvement was this good)
     float value;                       ///< Value of function at minimum
     int iter;                          ///< Number of iterations to date
     float lastDelta;                   ///< The last difference for the fit
+    float maxChisqDOF;		       ///< for Chisq minimization, require that we reach here before checking tolerance
 }
 psMinimization;
@@ -102,5 +105,6 @@
 psMinimization *psMinimizationAlloc(
     int maxIter,                       ///< Number of minimization iterations to perform.
-    float tol                          ///< Requested error tolerance
+    float minTol,		       ///< stop if tolerance is less than this
+    float maxTol		       ///< accept fit if tolerance is less than this
 ) PS_ATTR_MALLOC;
 
Index: trunk/psLib/src/math/psMinimizePowell.c
===================================================================
--- trunk/psLib/src/math/psMinimizePowell.c	(revision 28667)
+++ trunk/psLib/src/math/psMinimizePowell.c	(revision 28998)
@@ -457,5 +457,5 @@
 
         mul = bracket->data.F32[1];
-        if ((fabs(a-b) < min->tol) && (fabs(b-c) < min->tol)) {
+        if ((fabs(a-b) < min->minTol) && (fabs(b-c) < min->minTol)) {
             PS_VECTOR_ADD_MULTIPLE(params, paramMask, line, params, mul);
             min->value = func(params, coords);
@@ -524,5 +524,5 @@
     psTrace("psLib.math", 4, "---- psMinimizePowell() begin ----\n");
     psTrace("psLib.math", 6, "min->maxIter is %d\n", min->maxIter);
-    psTrace("psLib.math", 6, "min->tol is %f\n", min->tol);
+    psTrace("psLib.math", 6, "min->minTol is %f\n", min->minTol);
 
     if (paramMask == NULL) {
@@ -573,6 +573,8 @@
         for (i=0;i<numDims;i++) {
             if (myParamMask->data.PS_TYPE_VECTOR_MASK_DATA[i] == 0) {
+
                 P_PSMINIMIZATION_SET_MAXITER((&dummyMin),PS_MINIMIZE_POWELL_LINEMIN_MAX_ITERATIONS);
-                *(float*)&dummyMin.tol = PS_MINIMIZE_POWELL_LINEMIN_ERROR_TOLERANCE;
+		P_PSMINIMIZATION_SET_MIN_TOL((&dummyMin),PS_MINIMIZE_POWELL_LINEMIN_ERROR_TOLERANCE);
+
                 mul = LineMin(&dummyMin, Q, ((psVector *) v->data[i]),
                               myParamMask, coords, func);
@@ -677,5 +679,5 @@
 
         // 8: Go to step 3 until the change is less than some tolerance.
-        if (fabs(baseFuncVal - currFuncVal) <= min->tol) {
+        if (fabs(baseFuncVal - currFuncVal) <= min->minTol) {
             psFree(v);
             psFree(pQP);
Index: trunk/psLib/src/math/psStats.c
===================================================================
--- trunk/psLib/src/math/psStats.c	(revision 28667)
+++ trunk/psLib/src/math/psStats.c	(revision 28998)
@@ -1211,5 +1211,5 @@
 
         // Fit a Gaussian to the data.
-        psMinimization *minimizer = psMinimizationAlloc(100, 0.01); // The minimizer information
+        psMinimization *minimizer = psMinimizationAlloc(100, 0.01, 1.0); // The minimizer information
         psVector *params = psVectorAlloc(2, PS_TYPE_F32); // Parameters for the Gaussian
         // Initial guess for the mean (index 0) and var (index 1).
Index: trunk/psLib/test/math/Makefile.am
===================================================================
--- trunk/psLib/test/math/Makefile.am	(revision 28667)
+++ trunk/psLib/test/math/Makefile.am	(revision 28998)
@@ -49,5 +49,6 @@
 	tap_psMinimizePowell \
 	tap_psSpline1D \
-	tap_psPolynomialMD
+	tap_psPolynomialMD \
+	tap_psPolynomialMD_sampleDark
 
 #	tap_psRandom
Index: trunk/psLib/test/math/data/polyMD.dat
===================================================================
--- trunk/psLib/test/math/data/polyMD.dat	(revision 28998)
+++ trunk/psLib/test/math/data/polyMD.dat	(revision 28998)
@@ -0,0 +1,5000 @@
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+300 -82.2717417622 300 -24681.5225287 2030591.84778 12035.9211757 
Index: trunk/psLib/test/math/data/polyMD.pro
===================================================================
--- trunk/psLib/test/math/data/polyMD.pro	(revision 28998)
+++ trunk/psLib/test/math/data/polyMD.pro	(revision 28998)
@@ -0,0 +1,64 @@
+
+list times
+0.0
+10.0
+30.0
+100.0
+300.0
+end
+
+macro mkfake
+
+ delete -q exptime
+
+ create n 0 1000
+ for i 0 $times:n
+   set tmp = $times:$i + zero(n)
+   concat tmp exptime
+ end
+
+ set temp = -85 + 15*rnd(exptime); 
+
+ $D0 = 1000.0
+ $D1 = 5.0
+ $D2 = 0.025
+ $D3 = 0.005
+
+ set f = $D0 + $D1*exptime + $D2*exptime*temp + $D3*exptime*temp^2; 
+
+ set f0 = $D0 + $D2*temp + $D3*temp^2; 
+ set f1 = $D0 + $D1*exptime + $D2*exptime*temp
+ set f2 = $D0 + $D1*exptime + $D3*exptime*temp^2; 
+
+ set ord1 = exptime
+ set ord2 = exptime * temp
+ set ord3 = exptime * temp^2
+
+ write polyMD.dat exptime temp ord1 ord2 ord3 f
+end
+
+macro test.fit2d 
+  fit2d exptime temp f 3
+end
+
+macro test.fit3d 
+  fit3d ord1 ord2 ord3 f 1
+end
+
+macro testfit
+ $N = 100
+ create x 0 $N
+ set y = $N*rnd(x)
+ set z = $N*rnd(x)
+ set f = 10 + 2*x - 3*y +5*z
+ fit3d x y z f 1 -v
+end
+
+macro testfit2
+ $N = 100
+ create x 0 $N
+ set y = $N*rnd(x)
+ set z = $N*rnd(x)
+ set f = 10 + 2*x - 0.1*x^2 + 0.3*x*y - 3*y + 5*z - 20*z^2
+ fit3d x y z f 2 -v
+end
Index: trunk/psLib/test/math/tap_psPolynomialMD_sampleDark.c
===================================================================
--- trunk/psLib/test/math/tap_psPolynomialMD_sampleDark.c	(revision 28998)
+++ trunk/psLib/test/math/tap_psPolynomialMD_sampleDark.c	(revision 28998)
@@ -0,0 +1,107 @@
+#include <stdio.h>
+#include <pslib.h>
+#include "tap.h"
+#include "pstap.h"
+
+#define TOL 1.0e-4
+
+int main(int argc, char *argv[])
+{
+    plan_tests(13);
+    {
+        psMemId id = psMemGetId();
+
+	FILE *f = fopen ("data/polyMD.dat", "r");
+	ok (f, "open datafile");
+	skip_start (!f, 10, "skipping tests using polyMD.dat");
+
+	psVector *exptime = psVectorAllocEmpty (100, PS_TYPE_F32);
+	psVector *temp    = psVectorAllocEmpty (100, PS_TYPE_F32);
+	psVector *ord1    = psVectorAllocEmpty (100, PS_TYPE_F32);
+	psVector *ord2    = psVectorAllocEmpty (100, PS_TYPE_F32);
+	psVector *ord3    = psVectorAllocEmpty (100, PS_TYPE_F32);
+	psVector *flux    = psVectorAllocEmpty (100, PS_TYPE_F32);
+
+	float Exptime, Temp, Ord1, Ord2, Ord3, Flux;
+
+	// load data: exptime temp ord1 ord2 ord3 f
+	for (int i = 0; true; i++) {
+	    int status = fscanf (f, "%f %f %f %f %f %f", &Exptime, &Temp, &Ord1, &Ord2, &Ord3, &Flux);
+	    if (status != 6) break;
+	    psVectorAppend(exptime, Exptime);
+	    psVectorAppend(temp,    Temp);
+	    psVectorAppend(ord1,    Ord1);
+	    psVectorAppend(ord2,    Ord2);
+	    psVectorAppend(ord3,    Ord3);
+	    psVectorAppend(flux,    Flux);
+	    psAssert (i < exptime->nalloc, "error reading data");
+	}
+	ok (exptime->n == 5000, "read %d elements", exptime->n);
+
+	// fit f to ord1, ord2, ord3 (1st order only)
+        {
+	    psArray *ordinates = psArrayAlloc(exptime->n);
+	    psVector *values = psVectorAlloc(exptime->n, PS_TYPE_F32);
+
+	    for (int i = 0; i < exptime->n; i++) {
+		values->data.F32[i] = flux->data.F32[i];
+		psVector *ord = psVectorAlloc(3, PS_TYPE_F32);
+		ord->data.F32[0] = ord1->data.F32[i];
+		ord->data.F32[1] = ord2->data.F32[i];
+		ord->data.F32[2] = ord3->data.F32[i];
+		ordinates->data[i] = ord;
+	    }
+
+	    int XORDER = 1;
+	    int YORDER = 1;
+	    int ZORDER = 1;
+
+	    psVector *orders = psVectorAlloc(3, PS_TYPE_S32);
+	    orders->data.S32[0] = XORDER;
+	    orders->data.S32[1] = YORDER;
+	    orders->data.S32[2] = ZORDER;
+
+            psPolynomialMD *poly = psPolynomialMDAlloc(orders);
+            bool polyOK = psPolynomialMDFit(poly, values, NULL, NULL, 0, ordinates);
+            ok(polyOK, "Fit polynomial");
+            skip_start(!polyOK, 4, "Skipping coefficient checks since fit failed.");
+            is_double_tol(poly->coeff->data.F64[0], 1000.0, TOL, "Coefficient %d", 0);
+	    is_double_tol(poly->coeff->data.F64[1], 5.0,    TOL, "Coefficient %d", 1);
+	    is_double_tol(poly->coeff->data.F64[2], 0.025,  TOL, "Coefficient %d", 2);
+	    is_double_tol(poly->coeff->data.F64[3], 0.005,  TOL, "Coefficient %d", 3);
+            skip_end();
+            psFree(poly);
+	    psFree(orders);
+	    psFree(values);
+	    psFree(ordinates);
+        }
+
+	// fit f to exptime (1st order) and temp (2nd order)
+	// f = D0 + D1*exptime + D2*exptime*temp + D3*exptime*temp^2
+        {
+            psPolynomial2D *poly = psPolynomial2DAlloc(PS_POLYNOMIAL_ORD, 1, 2);
+	    poly->coeffMask[0][1] = 1; // x^0 y^1
+	    poly->coeffMask[0][2] = 1; // x^0 y^2
+	    
+	    bool polyOK = psVectorFitPolynomial2D(poly, NULL, 0, flux, NULL, exptime, temp);
+            ok(polyOK, "Fit polynomial");
+
+            skip_start(!polyOK, 4, "Skipping coefficient checks since fit failed.");
+            is_double_tol(poly->coeff[0][0], 1000.0, TOL, "Coefficient %d %d", 0, 0);
+	    is_double_tol(poly->coeff[1][0], 5.0,    TOL, "Coefficient %d %d", 1, 0);
+	    is_double_tol(poly->coeff[1][1], 0.025,  TOL, "Coefficient %d %d", 1, 1);
+	    is_double_tol(poly->coeff[1][2], 0.005,  TOL, "Coefficient %d %d", 1, 2);
+            skip_end();
+            psFree(poly);
+        }
+	psFree(exptime);
+	psFree(temp);
+	psFree(ord1);
+	psFree(ord2);
+	psFree(ord3);
+	psFree(flux);
+        ok(!psMemCheckLeaks (id, NULL, NULL, false), "no memory leaks");
+	skip_end();
+    }
+    exit(EXIT_SUCCESS);
+}
