[imager.git] / rotate.im

/*
=head1 NAME

  rotate.im - implements image rotations

=head1 SYNOPSIS

  i_img *i_rotate90(i_img *src, int degrees)

=head1 DESCRIPTION

Implements basic 90 degree rotations of an image.

Other rotations will be added as tuits become available.

=cut
*/

#include "imager.h"
#include "imageri.h"
#include <math.h> /* for floor() */

i_img *i_rotate90(i_img *src, int degrees) {
  i_img *targ;
  i_img_dim x, y;

  i_clear_error();

  if (degrees == 180) {
    /* essentially the same as flipxy(..., 2) except that it's not
       done in place */
    targ = i_sametype(src, src->xsize, src->ysize);
    if (src->type == i_direct_type) {
#code src->bits <= 8
      IM_COLOR *vals = mymalloc(src->xsize * sizeof(IM_COLOR));
      for (y = 0; y < src->ysize; ++y) {
	IM_COLOR tmp;
	IM_GLIN(src, 0, src->xsize, y, vals);
	for (x = 0; x < src->xsize/2; ++x) {
	  tmp = vals[x];
	  vals[x] = vals[src->xsize - x - 1];
	  vals[src->xsize - x - 1] = tmp;
	}
	IM_PLIN(targ, 0, src->xsize, src->ysize - y - 1, vals);
      }
      myfree(vals);
#/code
    }
    else {
      i_palidx *vals = mymalloc(src->xsize * sizeof(i_palidx));

      for (y = 0; y < src->ysize; ++y) {
        i_palidx tmp;
        i_gpal(src, 0, src->xsize, y, vals);
        for (x = 0; x < src->xsize/2; ++x) {
          tmp = vals[x];
          vals[x] = vals[src->xsize - x - 1];
          vals[src->xsize - x - 1] = tmp;
        }
        i_ppal(targ, 0, src->xsize, src->ysize - y - 1, vals);
      }
      
      myfree(vals);
    }

    return targ;
  }
  else if (degrees == 270 || degrees == 90) {
    i_img_dim tx, txstart, txinc;
    i_img_dim ty, tystart, tyinc;

    if (degrees == 270) {
      txstart = 0;
      txinc = 1;
      tystart = src->xsize-1;
      tyinc = -1;
    }
    else {
      txstart = src->ysize-1;
      txinc = -1;
      tystart = 0;
      tyinc = 1;
    }
    targ = i_sametype(src, src->ysize, src->xsize);
    if (src->type == i_direct_type) {
#code src->bits <= 8
      IM_COLOR *vals = mymalloc(src->xsize * sizeof(IM_COLOR));

      tx = txstart;
      for (y = 0; y < src->ysize; ++y) {
	IM_GLIN(src, 0, src->xsize, y, vals);
	ty = tystart;
	for (x = 0; x < src->xsize; ++x) {
	  IM_PPIX(targ, tx, ty, vals+x);
	  ty += tyinc;
	}
	tx += txinc;
      }
      myfree(vals);
#/code
    }
    else {
      i_palidx *vals = mymalloc(src->xsize * sizeof(i_palidx));
      
      tx = txstart;
      for (y = 0; y < src->ysize; ++y) {
        i_gpal(src, 0, src->xsize, y, vals);
        ty = tystart;
        for (x = 0; x < src->xsize; ++x) {
          i_ppal(targ, tx, tx+1, ty, vals+x);
          ty += tyinc;
        }
        tx += txinc;
      }
      myfree(vals);
    }
    return targ;
  }
  else {
    i_push_error(0, "i_rotate90() only rotates at 90, 180, or 270 degrees");
    return NULL;
  }
}

/* linear interpolation */
static i_color interp_i_color(i_color before, i_color after, double pos,
                              int channels) {
  i_color out;
  int ch;

  pos -= floor(pos);
  if (channels == 1 || channels == 3) {
    for (ch = 0; ch < channels; ++ch)
      out.channel[ch] = (1-pos) * before.channel[ch] + pos * after.channel[ch];
  }
  else {
    int total_cover = (1-pos) * before.channel[channels-1]
      + pos * after.channel[channels-1];

    total_cover = I_LIMIT_8(total_cover);
    if (total_cover) {
      double before_alpha = before.channel[channels-1] / 255.0;
      double after_alpha = after.channel[channels-1] / 255.0;
      double total_alpha = before_alpha * (1-pos) + after_alpha * pos;

      for (ch = 0; ch < channels-1; ++ch) {
	int out_level = ((1-pos) * before.channel[ch] * before_alpha + 
			 pos * after.channel[ch] * after_alpha) / total_alpha + 0.5;

	out.channel[ch] = I_LIMIT_8(out_level);
      }
    }

    out.channel[channels-1] = total_cover;
  }

  return out;
}

/* hopefully this will be inlined  (it is with -O3 with gcc 2.95.4) */
/* linear interpolation */
static i_fcolor interp_i_fcolor(i_fcolor before, i_fcolor after, double pos,
                                int channels) {
  i_fcolor out;
  int ch;

  pos -= floor(pos);
  if (channels == 1 || channels == 3) {
    for (ch = 0; ch < channels; ++ch)
      out.channel[ch] = (1-pos) * before.channel[ch] + pos * after.channel[ch];
  }
  else {
    double total_cover = (1-pos) * before.channel[channels-1]
      + pos * after.channel[channels-1];

    total_cover = I_LIMIT_DOUBLE(total_cover);
    if (total_cover) {
      double before_alpha = before.channel[channels-1];
      double after_alpha = after.channel[channels-1];
      double total_alpha = before_alpha * (1-pos) + after_alpha * pos;

      for (ch = 0; ch < channels-1; ++ch) {
	double out_level = ((1-pos) * before.channel[ch] * before_alpha + 
			 pos * after.channel[ch] * after_alpha) / total_alpha;

	out.channel[ch] = I_LIMIT_DOUBLE(out_level);
      }
    }

    out.channel[channels-1] = total_cover;
  }

  return out;
}

i_img *i_matrix_transform_bg(i_img *src, i_img_dim xsize, i_img_dim ysize, const double *matrix,
			     const i_color *backp, const i_fcolor *fbackp) {
  i_img *result = i_sametype(src, xsize, ysize);
  i_img_dim x, y;
  int ch;
  i_img_dim i, j;
  double sx, sy, sz;

  if (src->type == i_direct_type) {
#code src->bits <= 8
    IM_COLOR *vals = mymalloc(xsize * sizeof(IM_COLOR));
    IM_COLOR back;
    i_fsample_t fsamp;

#ifdef IM_EIGHT_BIT
    if (backp) {
      back = *backp;
    }
    else if (fbackp) {
      for (ch = 0; ch < src->channels; ++ch) {
	fsamp = fbackp->channel[ch];
	back.channel[ch] = fsamp < 0 ? 0 : fsamp > 1 ? 255 : fsamp * 255;
      }
    }
#else
#define interp_i_color interp_i_fcolor
    if (fbackp) {
      back = *fbackp;
    }
    else if (backp) {
      for (ch = 0; ch < src->channels; ++ch)
	back.channel[ch] = backp->channel[ch] / 255.0;
    }
#endif
    else {
      for (ch = 0; ch < src->channels; ++ch)
	back.channel[ch] = 0;
    }

    for (y = 0; y < ysize; ++y) {
      for (x = 0; x < xsize; ++x) {
	/* dividing by sz gives us the ability to do perspective 
	   transforms */
	sz = x * matrix[6] + y * matrix[7] + matrix[8];
	if (fabs(sz) > 0.0000001) {
	  sx = (x * matrix[0] + y * matrix[1] + matrix[2]) / sz;
	  sy = (x * matrix[3] + y * matrix[4] + matrix[5]) / sz;
	}
	else {
	  sx = sy = 0;
	}
	
	/* anything outside these ranges is either a broken co-ordinate
	   or outside the source */
	if (fabs(sz) > 0.0000001 
	    && sx >= -1 && sx < src->xsize
	    && sy >= -1 && sy < src->ysize) {
	  
	  if (sx != (i_img_dim)sx) {
	    if (sy != (i_img_dim)sy) {
	      IM_COLOR c[2][2]; 
	      IM_COLOR ci2[2];
	      for (i = 0; i < 2; ++i)
		for (j = 0; j < 2; ++j)
		  if (IM_GPIX(src, floor(sx)+i, floor(sy)+j, &c[j][i]))
		    c[j][i] = back;
	      for (j = 0; j < 2; ++j)
		ci2[j] = interp_i_color(c[j][0], c[j][1], sx, src->channels);
	      vals[x] = interp_i_color(ci2[0], ci2[1], sy, src->channels);
	    }
	    else {
	      IM_COLOR ci2[2];
	      for (i = 0; i < 2; ++i)
		if (IM_GPIX(src, floor(sx)+i, sy, ci2+i))
		  ci2[i] = back;
	      vals[x] = interp_i_color(ci2[0], ci2[1], sx, src->channels);
	    }
	  }
	  else {
	    if (sy != (i_img_dim)sy) {
	      IM_COLOR ci2[2];
	      for (i = 0; i < 2; ++i)
		if (IM_GPIX(src, sx, floor(sy)+i, ci2+i))
		  ci2[i] = back;
	      vals[x] = interp_i_color(ci2[0], ci2[1], sy, src->channels);
	    }
	    else {
	      /* all the world's an integer */
	      if (IM_GPIX(src, sx, sy, vals+x))
		vals[x] = back;
	    }
	  }
	}
	else {
	  vals[x] = back;
	}
      }
      IM_PLIN(result, 0, xsize, y, vals);
    }
    myfree(vals);
#undef interp_i_color
#/code
  }
  else {
    /* don't interpolate for a palette based image */
    i_palidx *vals = mymalloc(xsize * sizeof(i_palidx));
    i_palidx back = 0;
    i_color min;
    int minval = 256 * 4;
    i_img_dim ix, iy;
    i_color want_back;
    i_fsample_t fsamp;

    if (backp) {
      want_back = *backp;
    }
    else if (fbackp) {
      for (ch = 0; ch < src->channels; ++ch) {
	fsamp = fbackp->channel[ch];
	want_back.channel[ch] = fsamp < 0 ? 0 : fsamp > 1 ? 255 : fsamp * 255;
      }
    }
    else {
      for (ch = 0; ch < src->channels; ++ch)
	want_back.channel[ch] = 0;
    }
    
    /* find the closest color */
    for (i = 0; i < i_colorcount(src); ++i) {
      i_color temp;
      int tempval;
      i_getcolors(src, i, &temp, 1);
      tempval = 0;
      for (ch = 0; ch < src->channels; ++ch) {
        tempval += abs(want_back.channel[ch] - temp.channel[ch]);
      }
      if (tempval < minval) {
        back = i;
        min = temp;
        minval = tempval;
      }
    }

    for (y = 0; y < ysize; ++y) {
      for (x = 0; x < xsize; ++x) {
        /* dividing by sz gives us the ability to do perspective 
           transforms */
        sz = x * matrix[6] + y * matrix[7] + matrix[8];
        if (abs(sz) > 0.0000001) {
          sx = (x * matrix[0] + y * matrix[1] + matrix[2]) / sz;
          sy = (x * matrix[3] + y * matrix[4] + matrix[5]) / sz;
        }
        else {
          sx = sy = 0;
        }
        
        /* anything outside these ranges is either a broken co-ordinate
           or outside the source */
        if (abs(sz) > 0.0000001 
            && sx >= -0.5 && sx < src->xsize-0.5
            && sy >= -0.5 && sy < src->ysize-0.5) {
          
          /* all the world's an integer */
          ix = (i_img_dim)(sx+0.5);
          iy = (i_img_dim)(sy+0.5);
          if (!i_gpal(src, ix, ix+1, iy, vals+x))
	    vals[i] = back;
        }
        else {
          vals[x] = back;
        }
      }
      i_ppal(result, 0, xsize, y, vals);
    }
    myfree(vals);
  }

  return result;
}

i_img *i_matrix_transform(i_img *src, i_img_dim xsize, i_img_dim ysize, const double *matrix) {
  return i_matrix_transform_bg(src, xsize, ysize, matrix, NULL, NULL);
}

static void
i_matrix_mult(double *dest, const double *left, const double *right) {
  int i, j, k;
  double accum;
  
  for (i = 0; i < 3; ++i) {
    for (j = 0; j < 3; ++j) {
      accum = 0.0;
      for (k = 0; k < 3; ++k) {
        accum += left[3*i+k] * right[3*k+j];
      }
      dest[3*i+j] = accum;
    }
  }
}

i_img *i_rotate_exact_bg(i_img *src, double amount, 
			 const i_color *backp, const i_fcolor *fbackp) {
  double xlate1[9] = { 0 };
  double rotate[9];
  double xlate2[9] = { 0 };
  double temp[9], matrix[9];
  i_img_dim x1, x2, y1, y2, newxsize, newysize;

  /* first translate the centre of the image to (0,0) */
  xlate1[0] = 1;
  xlate1[2] = src->xsize/2.0;
  xlate1[4] = 1;
  xlate1[5] = src->ysize/2.0;
  xlate1[8] = 1;

  /* rotate around (0.0) */
  rotate[0] = cos(amount);
  rotate[1] = sin(amount);
  rotate[2] = 0;
  rotate[3] = -rotate[1];
  rotate[4] = rotate[0];
  rotate[5] = 0;
  rotate[6] = 0;
  rotate[7] = 0;
  rotate[8] = 1;

  x1 = ceil(fabs(src->xsize * rotate[0] + src->ysize * rotate[1]));
  x2 = ceil(fabs(src->xsize * rotate[0] - src->ysize * rotate[1]));
  y1 = ceil(fabs(src->xsize * rotate[3] + src->ysize * rotate[4]));
  y2 = ceil(fabs(src->xsize * rotate[3] - src->ysize * rotate[4]));
  newxsize = x1 > x2 ? x1 : x2;
  newysize = y1 > y2 ? y1 : y2;
  /* translate the centre back to the center of the image */
  xlate2[0] = 1;
  xlate2[2] = -newxsize/2.0;
  xlate2[4] = 1;
  xlate2[5] = -newysize/2.0;
  xlate2[8] = 1;
  i_matrix_mult(temp, xlate1, rotate);
  i_matrix_mult(matrix, temp, xlate2);

  return i_matrix_transform_bg(src, newxsize, newysize, matrix, backp, fbackp);
}

i_img *i_rotate_exact(i_img *src, double amount) {
  return i_rotate_exact_bg(src, amount, NULL, NULL);
}


/*
=back

=head1 AUTHOR

Tony Cook <tony@develop-help.com>

=head1 SEE ALSO

Imager(3)

=cut
*/
Commit	Line	Data
faa9b3e7 TC	1	/*
	2	=head1 NAME
	3
999f4294	4	rotate.im - implements image rotations
faa9b3e7 TC	5
	6	=head1 SYNOPSIS
	7
	8	i_img i_rotate90(i_img src, int degrees)
	9
	10	=head1 DESCRIPTION
	11
	12	Implements basic 90 degree rotations of an image.
	13
	14	Other rotations will be added as tuits become available.
	15
	16	=cut
	17	*/
	18
92bda632	19	#include "imager.h"
13c9a303	20	#include "imageri.h"
faa9b3e7 TC	21	#include <math.h> /* for floor() */
	22
	23	i_img i_rotate90(i_img src, int degrees) {
	24	i_img *targ;
8d14daab	25	i_img_dim x, y;
faa9b3e7 TC	26
	27	i_clear_error();
	28
	29	if (degrees == 180) {
	30	/* essentially the same as flipxy(..., 2) except that it's not
	31	done in place */
	32	targ = i_sametype(src, src->xsize, src->ysize);
	33	if (src->type == i_direct_type) {
999f4294 TC	34	#code src->bits <= 8
	35	IM_COLOR vals = mymalloc(src->xsize sizeof(IM_COLOR));
	36	for (y = 0; y < src->ysize; ++y) {
	37	IM_COLOR tmp;
	38	IM_GLIN(src, 0, src->xsize, y, vals);
	39	for (x = 0; x < src->xsize/2; ++x) {
	40	tmp = vals[x];
	41	vals[x] = vals[src->xsize - x - 1];
	42	vals[src->xsize - x - 1] = tmp;
	43	}
	44	IM_PLIN(targ, 0, src->xsize, src->ysize - y - 1, vals);
faa9b3e7	45	}
999f4294 TC	46	myfree(vals);
999f4294 TC	47	#/code
faa9b3e7 TC	48	}
	49	else {
	50	i_palidx vals = mymalloc(src->xsize sizeof(i_palidx));
	51
	52	for (y = 0; y < src->ysize; ++y) {
	53	i_palidx tmp;
	54	i_gpal(src, 0, src->xsize, y, vals);
	55	for (x = 0; x < src->xsize/2; ++x) {
	56	tmp = vals[x];
	57	vals[x] = vals[src->xsize - x - 1];
	58	vals[src->xsize - x - 1] = tmp;
	59	}
	60	i_ppal(targ, 0, src->xsize, src->ysize - y - 1, vals);
	61	}
	62
	63	myfree(vals);
	64	}
	65
	66	return targ;
	67	}
	68	else if (degrees == 270 \|\| degrees == 90) {
8d14daab TC	69	i_img_dim tx, txstart, txinc;
8d14daab TC	70	i_img_dim ty, tystart, tyinc;
faa9b3e7 TC	71
	72	if (degrees == 270) {
	73	txstart = 0;
	74	txinc = 1;
	75	tystart = src->xsize-1;
	76	tyinc = -1;
	77	}
	78	else {
	79	txstart = src->ysize-1;
	80	txinc = -1;
	81	tystart = 0;
	82	tyinc = 1;
	83	}
	84	targ = i_sametype(src, src->ysize, src->xsize);
	85	if (src->type == i_direct_type) {
999f4294 TC	86	#code src->bits <= 8
	87	IM_COLOR vals = mymalloc(src->xsize sizeof(IM_COLOR));
	88
	89	tx = txstart;
	90	for (y = 0; y < src->ysize; ++y) {
	91	IM_GLIN(src, 0, src->xsize, y, vals);
	92	ty = tystart;
	93	for (x = 0; x < src->xsize; ++x) {
	94	IM_PPIX(targ, tx, ty, vals+x);
	95	ty += tyinc;
	96	}
	97	tx += txinc;
faa9b3e7	98	}
999f4294 TC	99	myfree(vals);
999f4294 TC	100	#/code
faa9b3e7 TC	101	}
	102	else {
	103	i_palidx vals = mymalloc(src->xsize sizeof(i_palidx));
	104
	105	tx = txstart;
	106	for (y = 0; y < src->ysize; ++y) {
	107	i_gpal(src, 0, src->xsize, y, vals);
	108	ty = tystart;
	109	for (x = 0; x < src->xsize; ++x) {
	110	i_ppal(targ, tx, tx+1, ty, vals+x);
	111	ty += tyinc;
	112	}
	113	tx += txinc;
	114	}
	115	myfree(vals);
	116	}
	117	return targ;
	118	}
	119	else {
	120	i_push_error(0, "i_rotate90() only rotates at 90, 180, or 270 degrees");
	121	return NULL;
	122	}
	123	}
	124
faa9b3e7 TC	125	/* linear interpolation */
	126	static i_color interp_i_color(i_color before, i_color after, double pos,
	127	int channels) {
	128	i_color out;
	129	int ch;
	130
	131	pos -= floor(pos);
13c9a303 TC	132	if (channels == 1 \|\| channels == 3) {
	133	for (ch = 0; ch < channels; ++ch)
	134	out.channel[ch] = (1-pos) * before.channel[ch] + pos * after.channel[ch];
	135	}
	136	else {
	137	int total_cover = (1-pos) * before.channel[channels-1]
	138	+ pos * after.channel[channels-1];
	139
	140	total_cover = I_LIMIT_8(total_cover);
	141	if (total_cover) {
	142	double before_alpha = before.channel[channels-1] / 255.0;
	143	double after_alpha = after.channel[channels-1] / 255.0;
	144	double total_alpha = before_alpha * (1-pos) + after_alpha * pos;
	145
	146	for (ch = 0; ch < channels-1; ++ch) {
	147	int out_level = ((1-pos) * before.channel[ch] * before_alpha +
ef74691a	148	pos * after.channel[ch] * after_alpha) / total_alpha + 0.5;
13c9a303 TC	149
	150	out.channel[ch] = I_LIMIT_8(out_level);
	151	}
	152	}
	153
	154	out.channel[channels-1] = total_cover;
	155	}
faa9b3e7 TC	156
	157	return out;
	158	}
	159
	160	/* hopefully this will be inlined (it is with -O3 with gcc 2.95.4) */
	161	/* linear interpolation */
	162	static i_fcolor interp_i_fcolor(i_fcolor before, i_fcolor after, double pos,
	163	int channels) {
	164	i_fcolor out;
	165	int ch;
	166
	167	pos -= floor(pos);
13c9a303 TC	168	if (channels == 1 \|\| channels == 3) {
	169	for (ch = 0; ch < channels; ++ch)
	170	out.channel[ch] = (1-pos) * before.channel[ch] + pos * after.channel[ch];
	171	}
	172	else {
	173	double total_cover = (1-pos) * before.channel[channels-1]
	174	+ pos * after.channel[channels-1];
	175
	176	total_cover = I_LIMIT_DOUBLE(total_cover);
	177	if (total_cover) {
	178	double before_alpha = before.channel[channels-1];
	179	double after_alpha = after.channel[channels-1];
	180	double total_alpha = before_alpha * (1-pos) + after_alpha * pos;
	181
	182	for (ch = 0; ch < channels-1; ++ch) {
	183	double out_level = ((1-pos) * before.channel[ch] * before_alpha +
	184	pos * after.channel[ch] * after_alpha) / total_alpha;
	185
	186	out.channel[ch] = I_LIMIT_DOUBLE(out_level);
	187	}
	188	}
	189
	190	out.channel[channels-1] = total_cover;
	191	}
faa9b3e7 TC	192
	193	return out;
	194	}
	195
8d14daab	196	i_img i_matrix_transform_bg(i_img src, i_img_dim xsize, i_img_dim ysize, const double *matrix,
97ac0a96	197	const i_color backp, const i_fcolor fbackp) {
faa9b3e7	198	i_img *result = i_sametype(src, xsize, ysize);
8d14daab	199	i_img_dim x, y;
faa9b3e7	200	int ch;
8d14daab	201	i_img_dim i, j;
faa9b3e7	202	double sx, sy, sz;
faa9b3e7 TC	203
faa9b3e7 TC	204	if (src->type == i_direct_type) {
999f4294 TC	205	#code src->bits <= 8
	206	IM_COLOR vals = mymalloc(xsize sizeof(IM_COLOR));
	207	IM_COLOR back;
	208	i_fsample_t fsamp;
faa9b3e7	209
999f4294 TC	210	#ifdef IM_EIGHT_BIT
	211	if (backp) {
	212	back = *backp;
	213	}
	214	else if (fbackp) {
	215	for (ch = 0; ch < src->channels; ++ch) {
	216	fsamp = fbackp->channel[ch];
	217	back.channel[ch] = fsamp < 0 ? 0 : fsamp > 1 ? 255 : fsamp * 255;
faa9b3e7	218	}
faa9b3e7	219	}
999f4294 TC	220	#else
	221	#define interp_i_color interp_i_fcolor
	222	if (fbackp) {
	223	back = *fbackp;
	224	}
	225	else if (backp) {
	226	for (ch = 0; ch < src->channels; ++ch)
	227	back.channel[ch] = backp->channel[ch] / 255.0;
	228	}
	229	#endif
faa9b3e7	230	else {
999f4294 TC	231	for (ch = 0; ch < src->channels; ++ch)
	232	back.channel[ch] = 0;
	233	}
faa9b3e7	234
999f4294 TC	235	for (y = 0; y < ysize; ++y) {
	236	for (x = 0; x < xsize; ++x) {
	237	/* dividing by sz gives us the ability to do perspective
	238	transforms */
	239	sz = x * matrix[6] + y * matrix[7] + matrix[8];
	240	if (fabs(sz) > 0.0000001) {
	241	sx = (x * matrix[0] + y * matrix[1] + matrix[2]) / sz;
	242	sy = (x * matrix[3] + y * matrix[4] + matrix[5]) / sz;
	243	}
	244	else {
	245	sx = sy = 0;
	246	}
	247
	248	/* anything outside these ranges is either a broken co-ordinate
	249	or outside the source */
	250	if (fabs(sz) > 0.0000001
	251	&& sx >= -1 && sx < src->xsize
	252	&& sy >= -1 && sy < src->ysize) {
	253
	254	if (sx != (i_img_dim)sx) {
	255	if (sy != (i_img_dim)sy) {
	256	IM_COLOR c[2][2];
	257	IM_COLOR ci2[2];
	258	for (i = 0; i < 2; ++i)
	259	for (j = 0; j < 2; ++j)
	260	if (IM_GPIX(src, floor(sx)+i, floor(sy)+j, &c[j][i]))
	261	c[j][i] = back;
	262	for (j = 0; j < 2; ++j)
	263	ci2[j] = interp_i_color(c[j][0], c[j][1], sx, src->channels);
	264	vals[x] = interp_i_color(ci2[0], ci2[1], sy, src->channels);
	265	}
	266	else {
	267	IM_COLOR ci2[2];
	268	for (i = 0; i < 2; ++i)
	269	if (IM_GPIX(src, floor(sx)+i, sy, ci2+i))
	270	ci2[i] = back;
	271	vals[x] = interp_i_color(ci2[0], ci2[1], sx, src->channels);
	272	}
	273	}
	274	else {
	275	if (sy != (i_img_dim)sy) {
	276	IM_COLOR ci2[2];
	277	for (i = 0; i < 2; ++i)
	278	if (IM_GPIX(src, sx, floor(sy)+i, ci2+i))
	279	ci2[i] = back;
	280	vals[x] = interp_i_color(ci2[0], ci2[1], sy, src->channels);
	281	}
	282	else {
	283	/* all the world's an integer */
	284	if (IM_GPIX(src, sx, sy, vals+x))
	285	vals[x] = back;
	286	}
	287	}
	288	}
	289	else {
	290	vals[x] = back;
	291	}
faa9b3e7	292	}
999f4294	293	IM_PLIN(result, 0, xsize, y, vals);
faa9b3e7	294	}
999f4294 TC	295	myfree(vals);
	296	#undef interp_i_color
	297	#/code
faa9b3e7 TC	298	}
	299	else {
	300	/* don't interpolate for a palette based image */
	301	i_palidx vals = mymalloc(xsize sizeof(i_palidx));
0d3b936e	302	i_palidx back = 0;
faa9b3e7	303	i_color min;
0d3b936e	304	int minval = 256 * 4;
8d14daab	305	i_img_dim ix, iy;
0d3b936e TC	306	i_color want_back;
0d3b936e TC	307	i_fsample_t fsamp;
faa9b3e7	308
0d3b936e TC	309	if (backp) {
	310	want_back = *backp;
	311	}
	312	else if (fbackp) {
	313	for (ch = 0; ch < src->channels; ++ch) {
	314	fsamp = fbackp->channel[ch];
	315	want_back.channel[ch] = fsamp < 0 ? 0 : fsamp > 1 ? 255 : fsamp * 255;
	316	}
	317	}
	318	else {
	319	for (ch = 0; ch < src->channels; ++ch)
	320	want_back.channel[ch] = 0;
	321	}
	322
	323	/* find the closest color */
	324	for (i = 0; i < i_colorcount(src); ++i) {
faa9b3e7 TC	325	i_color temp;
	326	int tempval;
	327	i_getcolors(src, i, &temp, 1);
	328	tempval = 0;
	329	for (ch = 0; ch < src->channels; ++ch) {
0d3b936e	330	tempval += abs(want_back.channel[ch] - temp.channel[ch]);
faa9b3e7 TC	331	}
faa9b3e7 TC	332	if (tempval < minval) {
0d3b936e	333	back = i;
faa9b3e7 TC	334	min = temp;
	335	minval = tempval;
	336	}
	337	}
	338
	339	for (y = 0; y < ysize; ++y) {
	340	for (x = 0; x < xsize; ++x) {
	341	/* dividing by sz gives us the ability to do perspective
	342	transforms */
	343	sz = x * matrix[6] + y * matrix[7] + matrix[8];
	344	if (abs(sz) > 0.0000001) {
	345	sx = (x * matrix[0] + y * matrix[1] + matrix[2]) / sz;
	346	sy = (x * matrix[3] + y * matrix[4] + matrix[5]) / sz;
	347	}
e4bf9335 TC	348	else {
	349	sx = sy = 0;
	350	}
faa9b3e7 TC	351
	352	/* anything outside these ranges is either a broken co-ordinate
	353	or outside the source */
	354	if (abs(sz) > 0.0000001
	355	&& sx >= -0.5 && sx < src->xsize-0.5
	356	&& sy >= -0.5 && sy < src->ysize-0.5) {
	357
	358	/* all the world's an integer */
8d14daab TC	359	ix = (i_img_dim)(sx+0.5);
8d14daab TC	360	iy = (i_img_dim)(sy+0.5);
0d3b936e TC	361	if (!i_gpal(src, ix, ix+1, iy, vals+x))
0d3b936e TC	362	vals[i] = back;
faa9b3e7 TC	363	}
faa9b3e7 TC	364	else {
0d3b936e	365	vals[x] = back;
faa9b3e7 TC	366	}
	367	}
	368	i_ppal(result, 0, xsize, y, vals);
	369	}
	370	myfree(vals);
	371	}
	372
	373	return result;
	374	}
	375
8d14daab	376	i_img i_matrix_transform(i_img src, i_img_dim xsize, i_img_dim ysize, const double *matrix) {
0d3b936e TC	377	return i_matrix_transform_bg(src, xsize, ysize, matrix, NULL, NULL);
	378	}
	379
35891892	380	static void
97ac0a96	381	i_matrix_mult(double dest, const double left, const double *right) {
faa9b3e7 TC	382	int i, j, k;
	383	double accum;
	384
	385	for (i = 0; i < 3; ++i) {
	386	for (j = 0; j < 3; ++j) {
	387	accum = 0.0;
	388	for (k = 0; k < 3; ++k) {
	389	accum += left[3i+k] right[3*k+j];
	390	}
	391	dest[3*i+j] = accum;
	392	}
	393	}
	394	}
	395
0d3b936e	396	i_img i_rotate_exact_bg(i_img src, double amount,
97ac0a96	397	const i_color backp, const i_fcolor fbackp) {
faa9b3e7 TC	398	double xlate1[9] = { 0 };
	399	double rotate[9];
	400	double xlate2[9] = { 0 };
	401	double temp[9], matrix[9];
8d14daab	402	i_img_dim x1, x2, y1, y2, newxsize, newysize;
faa9b3e7 TC	403
	404	/* first translate the centre of the image to (0,0) */
	405	xlate1[0] = 1;
	406	xlate1[2] = src->xsize/2.0;
	407	xlate1[4] = 1;
	408	xlate1[5] = src->ysize/2.0;
	409	xlate1[8] = 1;
	410
	411	/* rotate around (0.0) */
	412	rotate[0] = cos(amount);
	413	rotate[1] = sin(amount);
	414	rotate[2] = 0;
	415	rotate[3] = -rotate[1];
	416	rotate[4] = rotate[0];
	417	rotate[5] = 0;
	418	rotate[6] = 0;
	419	rotate[7] = 0;
	420	rotate[8] = 1;
	421
ef74691a TC	422	x1 = ceil(fabs(src->xsize * rotate[0] + src->ysize * rotate[1]));
	423	x2 = ceil(fabs(src->xsize * rotate[0] - src->ysize * rotate[1]));
	424	y1 = ceil(fabs(src->xsize * rotate[3] + src->ysize * rotate[4]));
	425	y2 = ceil(fabs(src->xsize * rotate[3] - src->ysize * rotate[4]));
faa9b3e7 TC	426	newxsize = x1 > x2 ? x1 : x2;
	427	newysize = y1 > y2 ? y1 : y2;
	428	/* translate the centre back to the center of the image */
	429	xlate2[0] = 1;
13c9a303	430	xlate2[2] = -newxsize/2.0;
faa9b3e7	431	xlate2[4] = 1;
13c9a303	432	xlate2[5] = -newysize/2.0;
faa9b3e7 TC	433	xlate2[8] = 1;
	434	i_matrix_mult(temp, xlate1, rotate);
	435	i_matrix_mult(matrix, temp, xlate2);
	436
0d3b936e	437	return i_matrix_transform_bg(src, newxsize, newysize, matrix, backp, fbackp);
faa9b3e7	438	}
b8c2033e	439
0d3b936e TC	440	i_img i_rotate_exact(i_img src, double amount) {
	441	return i_rotate_exact_bg(src, amount, NULL, NULL);
	442	}
	443
	444
b8c2033e AMH	445	/*
	446	=back
	447
	448	=head1 AUTHOR
	449
	450	Tony Cook <tony@develop-help.com>
	451
	452	=head1 SEE ALSO
	453
	454	Imager(3)
	455
	456	=cut
	457	*/