+inline wxRealPoint rotated_point (double x, double y, double cos_angle, double sin_angle, const wxRealPoint & p0)
+{
+ return rotated_point (wxRealPoint(x,y), cos_angle, sin_angle, p0);
+}
+
+wxImage wxImage::Rotate(double angle, const wxPoint & centre_of_rotation, bool interpolating, wxPoint * offset_after_rotation) const
+{
+ int i;
+ angle = -angle; // screen coordinates are a mirror image of "real" coordinates
+
+ // Create pointer-based array to accelerate access to wxImage's data
+ unsigned char ** data = new unsigned char * [GetHeight()];
+
+ data[0] = GetData();
+
+ for (i = 1; i < GetHeight(); i++)
+ data[i] = data[i - 1] + (3 * GetWidth());
+
+ // precompute coefficients for rotation formula
+ // (sine and cosine of the angle)
+ const double cos_angle = cos(angle);
+ const double sin_angle = sin(angle);
+
+ // Create new Image to store the result
+ // First, find rectangle that covers the rotated image; to do that,
+ // rotate the four corners
+
+ const wxRealPoint p0(centre_of_rotation.x, centre_of_rotation.y);
+
+ wxRealPoint p1 = rotated_point (0, 0, cos_angle, sin_angle, p0);
+ wxRealPoint p2 = rotated_point (0, GetHeight(), cos_angle, sin_angle, p0);
+ wxRealPoint p3 = rotated_point (GetWidth(), 0, cos_angle, sin_angle, p0);
+ wxRealPoint p4 = rotated_point (GetWidth(), GetHeight(), cos_angle, sin_angle, p0);
+
+ int x1 = (int) floor (wxMin (wxMin(p1.x, p2.x), wxMin(p3.x, p4.x)));
+ int y1 = (int) floor (wxMin (wxMin(p1.y, p2.y), wxMin(p3.y, p4.y)));
+ int x2 = (int) ceil (wxMax (wxMax(p1.x, p2.x), wxMax(p3.x, p4.x)));
+ int y2 = (int) ceil (wxMax (wxMax(p1.y, p2.y), wxMax(p3.y, p4.y)));
+
+ wxImage rotated (x2 - x1 + 1, y2 - y1 + 1);
+
+ if (offset_after_rotation != NULL)
+ {
+ *offset_after_rotation = wxPoint (x1, y1);
+ }
+
+ // GRG: The rotated (destination) image is always accessed
+ // sequentially, so there is no need for a pointer-based
+ // array here (and in fact it would be slower).
+ //
+ unsigned char * dst = rotated.GetData();
+
+ // GRG: if the original image has a mask, use its RGB values
+ // as the blank pixel, else, fall back to default (black).
+ //
+ unsigned char blank_r = 0;
+ unsigned char blank_g = 0;
+ unsigned char blank_b = 0;
+
+ if (HasMask())
+ {
+ blank_r = GetMaskRed();
+ blank_g = GetMaskGreen();
+ blank_b = GetMaskBlue();
+ rotated.SetMaskColour( blank_r, blank_g, blank_b );
+ }
+
+ // Now, for each point of the rotated image, find where it came from, by
+ // performing an inverse rotation (a rotation of -angle) and getting the
+ // pixel at those coordinates
+
+ // GRG: I've taken the (interpolating) test out of the loops, so that
+ // it is done only once, instead of repeating it for each pixel.
+
+ int x;
+ if (interpolating)
+ {
+ for (int y = 0; y < rotated.GetHeight(); y++)
+ {
+ for (x = 0; x < rotated.GetWidth(); x++)
+ {
+ wxRealPoint src = rotated_point (x + x1, y + y1, cos_angle, -sin_angle, p0);
+
+ if (-0.25 < src.x && src.x < GetWidth() - 0.75 &&
+ -0.25 < src.y && src.y < GetHeight() - 0.75)
+ {
+ // interpolate using the 4 enclosing grid-points. Those
+ // points can be obtained using floor and ceiling of the
+ // exact coordinates of the point
+ // C.M. 2000-02-17: when the point is near the border, special care is required.
+
+ int x1, y1, x2, y2;
+
+ if (0 < src.x && src.x < GetWidth() - 1)
+ {
+ x1 = wxCint(floor(src.x));
+ x2 = wxCint(ceil(src.x));
+ }
+ else // else means that x is near one of the borders (0 or width-1)
+ {
+ x1 = x2 = wxCint (src.x);
+ }
+
+ if (0 < src.y && src.y < GetHeight() - 1)
+ {
+ y1 = wxCint(floor(src.y));
+ y2 = wxCint(ceil(src.y));
+ }
+ else
+ {
+ y1 = y2 = wxCint (src.y);
+ }
+
+ // get four points and the distances (square of the distance,
+ // for efficiency reasons) for the interpolation formula
+
+ // GRG: Do not calculate the points until they are
+ // really needed -- this way we can calculate
+ // just one, instead of four, if d1, d2, d3
+ // or d4 are < gs_Epsilon
+
+ const double d1 = (src.x - x1) * (src.x - x1) + (src.y - y1) * (src.y - y1);
+ const double d2 = (src.x - x2) * (src.x - x2) + (src.y - y1) * (src.y - y1);
+ const double d3 = (src.x - x2) * (src.x - x2) + (src.y - y2) * (src.y - y2);
+ const double d4 = (src.x - x1) * (src.x - x1) + (src.y - y2) * (src.y - y2);
+
+ // Now interpolate as a weighted average of the four surrounding
+ // points, where the weights are the distances to each of those points
+
+ // If the point is exactly at one point of the grid of the source
+ // image, then don't interpolate -- just assign the pixel
+
+ if (d1 < gs_Epsilon) // d1,d2,d3,d4 are positive -- no need for abs()
+ {
+ unsigned char *p = data[y1] + (3 * x1);
+ *(dst++) = *(p++);
+ *(dst++) = *(p++);
+ *(dst++) = *(p++);
+ }
+ else if (d2 < gs_Epsilon)
+ {
+ unsigned char *p = data[y1] + (3 * x2);
+ *(dst++) = *(p++);
+ *(dst++) = *(p++);
+ *(dst++) = *(p++);
+ }
+ else if (d3 < gs_Epsilon)
+ {
+ unsigned char *p = data[y2] + (3 * x2);
+ *(dst++) = *(p++);
+ *(dst++) = *(p++);
+ *(dst++) = *(p++);
+ }
+ else if (d4 < gs_Epsilon)
+ {
+ unsigned char *p = data[y2] + (3 * x1);
+ *(dst++) = *(p++);
+ *(dst++) = *(p++);
+ *(dst++) = *(p++);
+ }
+ else
+ {
+ // weights for the weighted average are proportional to the inverse of the distance
+ unsigned char *v1 = data[y1] + (3 * x1);
+ unsigned char *v2 = data[y1] + (3 * x2);
+ unsigned char *v3 = data[y2] + (3 * x2);
+ unsigned char *v4 = data[y2] + (3 * x1);
+
+ const double w1 = 1/d1, w2 = 1/d2, w3 = 1/d3, w4 = 1/d4;
+
+ // GRG: Unrolled.
+
+ *(dst++) = (unsigned char)
+ ( (w1 * *(v1++) + w2 * *(v2++) +
+ w3 * *(v3++) + w4 * *(v4++)) /
+ (w1 + w2 + w3 + w4) );
+ *(dst++) = (unsigned char)
+ ( (w1 * *(v1++) + w2 * *(v2++) +
+ w3 * *(v3++) + w4 * *(v4++)) /
+ (w1 + w2 + w3 + w4) );
+ *(dst++) = (unsigned char)
+ ( (w1 * *(v1++) + w2 * *(v2++) +
+ w3 * *(v3++) + w4 * *(v4++)) /
+ (w1 + w2 + w3 + w4) );
+ }
+ }
+ else
+ {
+ *(dst++) = blank_r;
+ *(dst++) = blank_g;
+ *(dst++) = blank_b;
+ }
+ }
+ }
+ }
+ else // not interpolating
+ {
+ for (int y = 0; y < rotated.GetHeight(); y++)
+ {
+ for (x = 0; x < rotated.GetWidth(); x++)
+ {
+ wxRealPoint src = rotated_point (x + x1, y + y1, cos_angle, -sin_angle, p0);
+
+ const int xs = wxCint (src.x); // wxCint rounds to the
+ const int ys = wxCint (src.y); // closest integer
+
+ if (0 <= xs && xs < GetWidth() &&
+ 0 <= ys && ys < GetHeight())
+ {
+ unsigned char *p = data[ys] + (3 * xs);
+ *(dst++) = *(p++);
+ *(dst++) = *(p++);
+ *(dst++) = *(p++);
+ }
+ else
+ {
+ *(dst++) = blank_r;
+ *(dst++) = blank_g;
+ *(dst++) = blank_b;
+ }
+ }
+ }
+ }
+
+ delete [] data;
+
+ return rotated;
+}