From 50378b823676072ebe39afc0095c90df3b0c44af Mon Sep 17 00:00:00 2001 From: Benjamin Berg Date: Thu, 28 Nov 2019 15:50:20 +0100 Subject: [PATCH 050/181] assembling: Use fixed point for image assembly Using floating point causes architecture dependent results due to accuracy/rounding differences. It is not hard to switch to fixed point, and while this does cause quite different rounding errors, the difference is small. Fixes: #200 --- libfprint/fpi-assembling.c | 32 +++++++++++++++++++++----------- tests/vfs5011/capture.png | Bin 65243 -> 65213 bytes 2 files changed, 21 insertions(+), 11 deletions(-) diff --git a/libfprint/fpi-assembling.c b/libfprint/fpi-assembling.c index 75291c0..fef08f0 100644 --- a/libfprint/fpi-assembling.c +++ b/libfprint/fpi-assembling.c @@ -385,8 +385,10 @@ median_filter (int *data, int size, int filtersize) static void interpolate_lines (struct fpi_line_asmbl_ctx *ctx, - GSList *line1, float y1, GSList *line2, - float y2, unsigned char *output, float yi, int size) + GSList *line1, gint32 y1_f, + GSList *line2, gint32 y2_f, + unsigned char *output, gint32 yi_f, + int size) { int i; unsigned char p1, p2; @@ -396,10 +398,12 @@ interpolate_lines (struct fpi_line_asmbl_ctx *ctx, for (i = 0; i < size; i++) { + gint unscaled; p1 = ctx->get_pixel (ctx, line1, i); p2 = ctx->get_pixel (ctx, line2, i); - output[i] = (float) p1 - + (yi - y1) / (y2 - y1) * (p2 - p1); + + unscaled = (yi_f - y1_f) * p2 + (y2_f - yi_f) * p1; + output[i] = (unscaled) / (y2_f - y1_f); } } @@ -424,7 +428,13 @@ fpi_assemble_lines (struct fpi_line_asmbl_ctx *ctx, /* Number of output lines per distance between two scanners */ int i; GSList *row1, *row2; - float y = 0.0; + /* The y coordinate is tracked as a 16.16 fixed point number. All + * variables postfixed with _f follow this format here and in + * interpolate_lines. + * We could also use floating point here, but using fixed point means + * we get consistent results across architectures. + */ + gint32 y_f = 0; int line_ind = 0; int *offsets = g_new0 (int, num_lines / 2); unsigned char *output = g_malloc0 (ctx->line_width * ctx->max_height); @@ -476,21 +486,21 @@ fpi_assemble_lines (struct fpi_line_asmbl_ctx *ctx, int offset = offsets[i / 2]; if (offset > 0) { - float ynext = y + (float) ctx->resolution / offset; - while (line_ind < ynext) + gint32 ynext_f = y_f + (ctx->resolution << 16) / offset; + while ((line_ind << 16) < ynext_f) { if (line_ind > ctx->max_height - 1) goto out; interpolate_lines (ctx, - row1, y, + row1, y_f, g_slist_next (row1), - ynext, + ynext_f, output + line_ind * ctx->line_width, - line_ind, + line_ind << 16, ctx->line_width); line_ind++; } - y = ynext; + y_f = ynext_f; } } out: diff --git a/tests/vfs5011/capture.png 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