void
vips__transform_init (VipsTransformation *trn);

int
vips__transform_calc_inverse (VipsTransformation *trn);

int
vips__transform_isidentity (const VipsTransformation *trn);

int
vips__transform_add (const VipsTransformation *in1,
                     const VipsTransformation *in2,
                     VipsTransformation *out);

void
vips__transform_print (const VipsTransformation *trn);

void
vips__transform_forward_point (const VipsTransformation *trn,
                               const double x,
                               const double y,
                               double *ox,
                               double *oy);

void
vips__transform_invert_point (const VipsTransformation *trn,
                              const double x,
                              const double y,
                              double *ox,
                              double *oy);

void
vips__transform_forward_rect (const VipsTransformation *trn,
                              const VipsRect *in,
                              VipsRect *out);

void
vips__transform_invert_rect (const VipsTransformation *trn,
                             const VipsRect *in,
                             VipsRect *out);

void
vips__transform_set_area (VipsTransformation *Param1);

int
vips__affine (VipsImage *in,
              VipsImage *out,
              VipsTransformation *trn);

typedef struct {
	/* Area of input we can use. This can be smaller than the real input

	 * image: we expand the input to add extra pixels for interpolation.

	 */
	VipsRect iarea;

	/* The area of the output we've been asked to generate. left/top can
	 * be negative.
	 */
	VipsRect oarea;

	/* The transform.
	 */
	double a, b, c, d;

	double idx, idy;
	double odx, ody;

	double ia, ib, ic, id;		/* Inverse of matrix abcd */
} VipsTransformation;

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