/* GIMP - The GNU Image Manipulation Program * Copyright (C) 1995 Spencer Kimball and Peter Mattis * * gimpbrush-transform.c * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 3 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program. If not, see . */ #include "config.h" #include #include "core-types.h" #include "libgimpmath/gimpmath.h" #include "gimpbrush.h" #include "gimpbrush-transform.h" #include "base/temp-buf.h" /* local function prototypes */ static void gimp_brush_transform_matrix (GimpBrush *brush, gdouble scale_x, gdouble scale_y, gdouble angle, GimpMatrix3 *matrix); static void gimp_brush_transform_bounding_box (GimpBrush *brush, const GimpMatrix3 *matrix, gint *x, gint *y, gint *width, gint *height); /* public functions */ void gimp_brush_real_transform_size (GimpBrush *brush, gdouble scale, gdouble aspect_ratio, gdouble angle, gint *width, gint *height) { GimpMatrix3 matrix; gint x, y; if (aspect_ratio < 1.0) gimp_brush_transform_matrix (brush, scale * aspect_ratio, scale, angle, &matrix); else gimp_brush_transform_matrix (brush, scale, scale / aspect_ratio, angle, &matrix); gimp_brush_transform_bounding_box (brush, &matrix, &x, &y, width, height); } /* * Transforms the brush mask with bilinear interpolation. * * Rather than calculating the inverse transform for each point in the * transformed image, this algorithm uses the inverse transformed * corner points of the destination image to work out the starting * position in the source image and the U and V deltas in the source * image space. It then uses a scan-line approach, looping through * rows and colummns in the transformed (destination) image while * walking along the corresponding rows and columns (named U and V) in * the source image. * * The horizontal in destination space (transform result) is reverse * transformed into source image space to get U. The vertical in * destination space (transform result) is reverse transformed into * source image space to get V. * * The strength of this particular algorithm is that calculation work * should depend more upon the final transformed brush size rather * than the input brush size. * * There are no floating point calculations in the inner loop for speed. */ TempBuf * gimp_brush_real_transform_mask (GimpBrush *brush, gdouble scale, gdouble aspect_ratio, gdouble angle) { TempBuf *result; guchar *dest; const guchar *src; GimpMatrix3 matrix; gint src_width; gint src_height; gint dest_width; gint dest_height; gint x, y; gdouble blx, brx, tlx, trx; gdouble bly, bry, tly, try; gdouble src_tl_to_tr_delta_x; gdouble src_tl_to_tr_delta_y; gdouble src_tl_to_bl_delta_x; gdouble src_tl_to_bl_delta_y; gint src_walk_ux; gint src_walk_uy; gint src_walk_vx; gint src_walk_vy; gint src_space_cur_pos_x; gint src_space_cur_pos_y; gint src_space_row_start_x; gint src_space_row_start_y; const guchar *src_walker; const guchar *pixel_next; const guchar *pixel_below; const guchar *pixel_below_next; gint opposite_x, distance_from_true_x; gint opposite_y, distance_from_true_y; gint src_height_times_int_multiple; gint src_width_times_int_multiple; gint src_heightm1_times_int_multiple; gint src_widthm1_times_int_multiple; /* * tl, tr etc are used because it is easier to visualize top left, * top right etc corners of the forward transformed source image * rectangle. */ const gint fraction_bits = 12; const gint int_multiple = pow(2,fraction_bits); /* In inner loop's bilinear calculation, two numbers that were each * previously multiplied by int_multiple are multiplied together. * To get back the right result, the multiplication result must be * divided *twice* by 2^fraction_bits, equivalent to bit shift right * by 2 * fraction_bits */ const gint recovery_bits = 2 * fraction_bits; /* * example: suppose fraction_bits = 9 * a 9-bit mask looks like this: 0001 1111 1111 * and is given by: 2^fraction_bits - 1 * demonstration: * 2^0 = 0000 0000 0001 * 2^1 = 0000 0000 0010 * : * 2^8 = 0001 0000 0000 * 2^9 = 0010 0000 0000 * 2^9 - 1 = 0001 1111 1111 */ const guint fraction_bitmask = pow(2, fraction_bits) - 1 ; if (aspect_ratio < 1.0) gimp_brush_transform_matrix (brush, scale * aspect_ratio, scale, angle, &matrix); else gimp_brush_transform_matrix (brush, scale, scale / aspect_ratio, angle, &matrix); if (gimp_matrix3_is_identity (&matrix)) return temp_buf_copy (brush->mask, NULL); src_width = brush->mask->width; src_height = brush->mask->height; gimp_brush_transform_bounding_box (brush, &matrix, &x, &y, &dest_width, &dest_height); gimp_matrix3_translate (&matrix, -x, -y); gimp_matrix3_invert (&matrix); result = temp_buf_new (dest_width, dest_height, 1, 0, 0, NULL); dest = temp_buf_get_data (result); src = temp_buf_get_data (brush->mask); /* prevent disappearance of 1x1 pixel brush at some rotations when scaling < 1 */ /* if (src_width == 1 && src_height == 1 && scale_x < 1 && scale_y < 1 ) { *dest = src[0]; return result; }*/ gimp_matrix3_transform_point (&matrix, 0, 0, &tlx, &tly); gimp_matrix3_transform_point (&matrix, dest_width, 0, &trx, &try); gimp_matrix3_transform_point (&matrix, 0, dest_height, &blx, &bly); gimp_matrix3_transform_point (&matrix, dest_width, dest_height, &brx, &bry); /* in image space, calc U (what was horizontal originally) * note: double precision */ src_tl_to_tr_delta_x = trx - tlx; src_tl_to_tr_delta_y = try - tly; /* in image space, calc V (what was vertical originally) * note: double precision */ src_tl_to_bl_delta_x = blx - tlx; src_tl_to_bl_delta_y = bly - tly; /* speed optimized, note conversion to int precision */ src_walk_ux = (gint) ((src_tl_to_tr_delta_x / dest_width)* int_multiple); src_walk_uy = (gint) ((src_tl_to_tr_delta_y / dest_width)* int_multiple); src_walk_vx = (gint) ((src_tl_to_bl_delta_x / dest_height)* int_multiple); src_walk_vy = (gint) ((src_tl_to_bl_delta_y / dest_height)* int_multiple); /* initialize current position in source space to the start position (tl) * speed optimized, note conversion to int precision */ src_space_cur_pos_x = (gint) (tlx* int_multiple); src_space_cur_pos_y = (gint) (tly* int_multiple); src_space_row_start_x = (gint) (tlx* int_multiple); src_space_row_start_y = (gint) (tly* int_multiple); src_walker = src; src_height_times_int_multiple = src_height << fraction_bits; /* mult by int_multiple */ src_width_times_int_multiple = src_width << fraction_bits; /* mult by int_multiple */ src_heightm1_times_int_multiple = src_height_times_int_multiple - int_multiple; src_widthm1_times_int_multiple = src_width_times_int_multiple - int_multiple; for (y = 0; y < dest_height; y++) { for (x = 0; x < dest_width; x++) { if (src_space_cur_pos_x > src_width_times_int_multiple || src_space_cur_pos_x < 0 || src_space_cur_pos_y > src_height_times_int_multiple || src_space_cur_pos_y < 0) /* no corresponding pixel in source space */ { *dest = 0; } else /* reverse transformed point hits source pixel */ { src_walker = src + (src_space_cur_pos_y>>fraction_bits) * src_width + (src_space_cur_pos_x>>fraction_bits); /* bottom right corner * no pixel below, reuse current pixel instead * no next pixel to the right so reuse current pixel instead */ if (src_space_cur_pos_y > (src_heightm1_times_int_multiple) && src_space_cur_pos_x > (src_widthm1_times_int_multiple) ) { pixel_next = src_walker; pixel_below = src_walker; pixel_below_next = src_walker; } /* bottom edge pixel row, except rightmost corner * no pixel below, reuse current pixel instead */ else if (src_space_cur_pos_y > (src_heightm1_times_int_multiple)) { pixel_next = src_walker + 1; pixel_below = src_walker; pixel_below_next = src_walker + 1; } /* right edge pixel column, except bottom corner * no next pixel to the right so reuse current pixel instead */ else if (src_space_cur_pos_x > (src_widthm1_times_int_multiple)) { pixel_next = src_walker; pixel_below = src_walker + src_width; pixel_below_next = pixel_below; } /* neither on bottom edge nor on right edge */ else { pixel_next = src_walker + 1; pixel_below = src_walker + src_width; pixel_below_next = pixel_below + 1; } distance_from_true_x = src_space_cur_pos_x & fraction_bitmask; distance_from_true_y = src_space_cur_pos_y & fraction_bitmask; opposite_x = int_multiple - distance_from_true_x; opposite_y = int_multiple - distance_from_true_y; *dest = ((src_walker[0] * opposite_x + pixel_next[0] * distance_from_true_x) * opposite_y + (pixel_below[0] * opposite_x + pixel_below_next[0] *distance_from_true_x) * distance_from_true_y ) >> recovery_bits; } src_space_cur_pos_x+=src_walk_ux; src_space_cur_pos_y+=src_walk_uy; dest ++; } /* end for x */ src_space_row_start_x +=src_walk_vx; src_space_row_start_y +=src_walk_vy; src_space_cur_pos_x = src_space_row_start_x; src_space_cur_pos_y = src_space_row_start_y; } /* end for y */ return result; } /* * Transforms the brush pixmap with bilinear interpolation. * * The algorithm used is exactly the same as for the brush mask * (gimp_brush_real_transform_mask) except it accounts for 3 color channels * instead of 1 greyscale channel. * * Rather than calculating the inverse transform for each point in the * transformed image, this algorithm uses the inverse transformed * corner points of the destination image to work out the starting * position in the source image and the U and V deltas in the source * image space. It then uses a scan-line approach, looping through * rows and colummns in the transformed (destination) image while * walking along the corresponding rows and columns (named U and V) in * the source image. * * The horizontal in destination space (transform result) is reverse * transformed into source image space to get U. The vertical in * destination space (transform result) is reverse transformed into * source image space to get V. * * The strength of this particular algorithm is that calculation work * should depend more upon the final transformed brush size rather * than the input brush size. * * There are no floating point calculations in the inner loop for speed. */ TempBuf * gimp_brush_real_transform_pixmap (GimpBrush *brush, gdouble scale, gdouble aspect_ratio, gdouble angle) { TempBuf *result; guchar *dest; const guchar *src; GimpMatrix3 matrix; gint src_width; gint src_height; gint dest_width; gint dest_height; gint x, y; gdouble blx, brx, tlx, trx; gdouble bly, bry, tly, try; gdouble src_tl_to_tr_delta_x; gdouble src_tl_to_tr_delta_y; gdouble src_tl_to_bl_delta_x; gdouble src_tl_to_bl_delta_y; gint src_walk_ux; gint src_walk_uy; gint src_walk_vx; gint src_walk_vy; gint src_space_cur_pos_x; gint src_space_cur_pos_y; gint src_space_row_start_x; gint src_space_row_start_y; const guchar *src_walker; const guchar *pixel_next; const guchar *pixel_below; const guchar *pixel_below_next; gint opposite_x, distance_from_true_x; gint opposite_y, distance_from_true_y; gint src_height_times_int_multiple; gint src_width_times_int_multiple; gint src_heightm1_times_int_multiple; gint src_widthm1_times_int_multiple; /* * tl, tr etc are used because it is easier to visualize top left, * top right etc corners of the forward transformed source image * rectangle. */ const gint fraction_bits = 12; const gint int_multiple = pow(2,fraction_bits); /* In inner loop's bilinear calculation, two numbers that were each * previously multiplied by int_multiple are multiplied together. * To get back the right result, the multiplication result must be * divided *twice* by 2^fraction_bits, equivalent to bit shift right * by 2 * fraction_bits */ const gint recovery_bits = 2 * fraction_bits; /* * example: suppose fraction_bits = 9 * a 9-bit mask looks like this: 0001 1111 1111 * and is given by: 2^fraction_bits - 1 * demonstration: * 2^0 = 0000 0000 0001 * 2^1 = 0000 0000 0010 * : * 2^8 = 0001 0000 0000 * 2^9 = 0010 0000 0000 * 2^9 - 1 = 0001 1111 1111 */ const guint fraction_bitmask = pow(2, fraction_bits)- 1 ; if (aspect_ratio < 1.0) gimp_brush_transform_matrix (brush, scale * aspect_ratio, scale, angle, &matrix); else gimp_brush_transform_matrix (brush, scale, scale / aspect_ratio, angle, &matrix); if (gimp_matrix3_is_identity (&matrix)) return temp_buf_copy (brush->pixmap, NULL); src_width = brush->pixmap->width; src_height = brush->pixmap->height; gimp_brush_transform_bounding_box (brush, &matrix, &x, &y, &dest_width, &dest_height); gimp_matrix3_translate (&matrix, -x, -y); gimp_matrix3_invert (&matrix); result = temp_buf_new (dest_width, dest_height, 3, 0, 0, NULL); dest = temp_buf_get_data (result); src = temp_buf_get_data (brush->pixmap); gimp_matrix3_transform_point (&matrix, 0, 0, &tlx, &tly); gimp_matrix3_transform_point (&matrix, dest_width, 0, &trx, &try); gimp_matrix3_transform_point (&matrix, 0, dest_height, &blx, &bly); gimp_matrix3_transform_point (&matrix, dest_width, dest_height, &brx, &bry); /* in image space, calc U (what was horizontal originally) * note: double precision */ src_tl_to_tr_delta_x = trx - tlx; src_tl_to_tr_delta_y = try - tly; /* in image space, calc V (what was vertical originally) * note: double precision */ src_tl_to_bl_delta_x = blx - tlx; src_tl_to_bl_delta_y = bly - tly; /* speed optimized, note conversion to int precision */ src_walk_ux = (gint) ((src_tl_to_tr_delta_x / dest_width)* int_multiple); src_walk_uy = (gint) ((src_tl_to_tr_delta_y / dest_width)* int_multiple); src_walk_vx = (gint) ((src_tl_to_bl_delta_x / dest_height)* int_multiple); src_walk_vy = (gint) ((src_tl_to_bl_delta_y / dest_height)* int_multiple); /* initialize current position in source space to the start position (tl) * speed optimized, note conversion to int precision */ src_space_cur_pos_x = (gint) (tlx* int_multiple); src_space_cur_pos_y = (gint) (tly* int_multiple); src_space_row_start_x = (gint) (tlx* int_multiple); src_space_row_start_y = (gint) (tly* int_multiple); src_walker = src; src_height_times_int_multiple = src_height << fraction_bits; /* mult by int_multiple */ src_width_times_int_multiple = src_width << fraction_bits; /* mult by int_multiple */ src_heightm1_times_int_multiple = src_height_times_int_multiple - int_multiple; src_widthm1_times_int_multiple = src_width_times_int_multiple - int_multiple; for (y = 0; y < dest_height; y++) { for (x = 0; x < dest_width; x++) { if (src_space_cur_pos_x > src_width_times_int_multiple || src_space_cur_pos_x < 0 || src_space_cur_pos_y > src_height_times_int_multiple || src_space_cur_pos_y < 0) /* no corresponding pixel in source space */ { dest[0] = 0; dest[1] = 0; dest[2] = 0; } else /* reverse transformed point hits source pixel */ { src_walker = src + 3 * ( (src_space_cur_pos_y >> fraction_bits) * src_width + (src_space_cur_pos_x >> fraction_bits)); /* bottom right corner * no pixel below, reuse current pixel instead * no next pixel to the right so reuse current pixel instead */ if (src_space_cur_pos_y > (src_heightm1_times_int_multiple) && src_space_cur_pos_x > (src_widthm1_times_int_multiple) ) { pixel_next = src_walker; pixel_below = src_walker; pixel_below_next = src_walker; } /* bottom edge pixel row, except rightmost corner * no pixel below, reuse current pixel instead */ else if (src_space_cur_pos_y > (src_heightm1_times_int_multiple)) { pixel_next = src_walker + 3; pixel_below = src_walker; pixel_below_next = src_walker + 3; } /* right edge pixel column, except bottom corner * no next pixel to the right so reuse current pixel instead */ else if (src_space_cur_pos_x > (src_widthm1_times_int_multiple)) { pixel_next = src_walker; pixel_below = src_walker + src_width * 3; pixel_below_next = pixel_below; } /* neither on bottom edge nor on right edge */ else { pixel_next = src_walker + 3; pixel_below = src_walker + src_width * 3; pixel_below_next = pixel_below + 3; } distance_from_true_x = src_space_cur_pos_x & fraction_bitmask; distance_from_true_y = src_space_cur_pos_y & fraction_bitmask; opposite_x = int_multiple - distance_from_true_x; opposite_y = int_multiple - distance_from_true_y; dest[0] = ((src_walker[0] * opposite_x + pixel_next[0] * distance_from_true_x) * opposite_y + (pixel_below[0] * opposite_x + pixel_below_next[0] *distance_from_true_x) * distance_from_true_y ) >> recovery_bits; dest[1] = ((src_walker[1] * opposite_x + pixel_next[1] * distance_from_true_x) * opposite_y + (pixel_below[1] * opposite_x + pixel_below_next[1] *distance_from_true_x) * distance_from_true_y ) >> recovery_bits; dest[2] = ((src_walker[2] * opposite_x + pixel_next[2] * distance_from_true_x) * opposite_y + (pixel_below[2] * opposite_x + pixel_below_next[2] *distance_from_true_x) * distance_from_true_y ) >> recovery_bits; } src_space_cur_pos_x += src_walk_ux; src_space_cur_pos_y += src_walk_uy; dest += 3; } /* end for x */ src_space_row_start_x +=src_walk_vx; src_space_row_start_y +=src_walk_vy; src_space_cur_pos_x = src_space_row_start_x; src_space_cur_pos_y = src_space_row_start_y; } /* end for y */ return result; } /* private functions */ static void gimp_brush_transform_matrix (GimpBrush *brush, gdouble scale_x, gdouble scale_y, gdouble angle, GimpMatrix3 *matrix) { const gdouble center_x = brush->mask->width / 2; const gdouble center_y = brush->mask->height / 2; gimp_matrix3_identity (matrix); gimp_matrix3_translate (matrix, - center_x, - center_y); gimp_matrix3_rotate (matrix, -2 * G_PI * angle); gimp_matrix3_translate (matrix, center_x, center_y); gimp_matrix3_scale (matrix, scale_x, scale_y); } static void gimp_brush_transform_bounding_box (GimpBrush *brush, const GimpMatrix3 *matrix, gint *x, gint *y, gint *width, gint *height) { const gdouble w = brush->mask->width; const gdouble h = brush->mask->height; gdouble x1, x2, x3, x4; gdouble y1, y2, y3, y4; gimp_matrix3_transform_point (matrix, 0, 0, &x1, &y1); gimp_matrix3_transform_point (matrix, w, 0, &x2, &y2); gimp_matrix3_transform_point (matrix, 0, h, &x3, &y3); gimp_matrix3_transform_point (matrix, w, h, &x4, &y4); *x = floor (MIN (MIN (x1, x2), MIN (x3, x4))); *y = floor (MIN (MIN (y1, y2), MIN (y3, y4))); *width = (gint) (ceil (MAX (MAX (x1, x2), MAX (x3, x4))) - *x); *height = (gint) (ceil (MAX (MAX (y1, y2), MAX (y3, y4))) - *y); }