/*
 *  This file is part of RawTherapee.
 *
 *  Copyright (c) 2004-2010 Gabor Horvath <hgabor@rawtherapee.com>
 *
 *  RawTherapee 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.
 *
 *  RawTherapee 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 RawTherapee.  If not, see <http://www.gnu.org/licenses/>.
 */
#include "rtengine.h"
#include "improcfun.h"
#ifdef _OPENMP
#include <omp.h>
#endif
#include "mytime.h"
#include "rt_math.h"
#include "sleef.c"
using namespace std;

namespace rtengine {
#undef CLIPTOC

#define CLIPTOC(a,b,c,d) ((a)>=(b)?((a)<=(c)?(a):(d=true,(c))):(d=true,(b)))
#define RT_PI 3.141592653589

bool ImProcFunctions::transCoord (int W, int H, const std::vector<Coord2D> &src, std::vector<Coord2D> &red,  std::vector<Coord2D> &green, std::vector<Coord2D> &blue, double ascaleDef,
    const LCPMapper *pLCPMap) {

    bool clipped = false;

    red.clear (); green.clear (); blue.clear ();

    if (!needsCA() && !needsDistortion() && !needsRotation() && !needsPerspective() && (!params->lensProf.useDist || pLCPMap==NULL)) {
                for (size_t i=0; i<src.size(); i++) {
                    red.push_back   (Coord2D (src[i].x, src[i].y));
                    green.push_back (Coord2D (src[i].x, src[i].y));
                    blue.push_back  (Coord2D (src[i].x, src[i].y));
                }

        return clipped;
    }

    double oW = W, oH = H;
	double w2 = (double) oW  / 2.0 - 0.5;
	double h2 = (double) oH  / 2.0 - 0.5;
    double maxRadius = sqrt( (double)( oW*oW + oH*oH ) ) / 2;

    // auxiliary variables for distortion correction
    bool needsDist = needsDistortion();  // for performance
	double distAmount = params->distortion.amount;

    // auxiliary variables for rotation
	double cost = cos(params->rotate.degree * RT_PI/180.0);
	double sint = sin(params->rotate.degree * RT_PI/180.0);

    // auxiliary variables for vertical perspective correction
    double vpdeg = params->perspective.vertical / 100.0 * 45.0;
    double vpalpha = (90.0 - vpdeg) / 180.0 * RT_PI;
    double vpteta  = fabs(vpalpha-RT_PI/2)<3e-4 ? 0.0 : acos ((vpdeg>0 ? 1.0 : -1.0) * sqrt((-oW*oW*tan(vpalpha)*tan(vpalpha) + (vpdeg>0 ? 1.0 : -1.0) * oW*tan(vpalpha)*sqrt(16*maxRadius*maxRadius+oW*oW*tan(vpalpha)*tan(vpalpha)))/(maxRadius*maxRadius*8)));
    double vpcospt = (vpdeg>=0 ? 1.0 : -1.0) * cos (vpteta), vptanpt = tan (vpteta);

    // auxiliary variables for horizontal perspective correction
    double hpdeg = params->perspective.horizontal / 100.0 * 45.0;
    double hpalpha = (90.0 - hpdeg) / 180.0 * RT_PI;
    double hpteta  = fabs(hpalpha-RT_PI/2)<3e-4 ? 0.0 : acos ((hpdeg>0 ? 1.0 : -1.0) * sqrt((-oH*oH*tan(hpalpha)*tan(hpalpha) + (hpdeg>0 ? 1.0 : -1.0) * oH*tan(hpalpha)*sqrt(16*maxRadius*maxRadius+oH*oH*tan(hpalpha)*tan(hpalpha)))/(maxRadius*maxRadius*8)));
    double hpcospt = (hpdeg>=0 ? 1.0 : -1.0) * cos (hpteta), hptanpt = tan (hpteta);

	double ascale = ascaleDef>0 ? ascaleDef : (params->commonTrans.autofill ? getTransformAutoFill (oW, oH, pLCPMap) : 1.0);

	for (size_t i=0; i<src.size(); i++) {
        double x_d=src[i].x, y_d=src[i].y;
        if (pLCPMap && params->lensProf.useDist) pLCPMap->correctDistortion(x_d,y_d);  // must be first transform

		y_d = ascale * (y_d - h2);
		x_d = ascale * (x_d - w2);

        if (needsPerspective()) {
            // horizontal perspective transformation
            y_d *= maxRadius / (maxRadius + x_d*hptanpt);
            x_d *= maxRadius * hpcospt / (maxRadius + x_d*hptanpt);

            // vertical perspective transformation
            x_d *= maxRadius / (maxRadius - y_d*vptanpt);
            y_d *= maxRadius * vpcospt / (maxRadius - y_d*vptanpt);
        }

        // rotate
		double Dx = x_d * cost - y_d * sint;
		double Dy = x_d * sint + y_d * cost;

        // distortion correction
        double s = 1;
        if (needsDist) {
            double r = sqrt(Dx*Dx + Dy*Dy) / maxRadius;  // sqrt is slow
            s = 1.0 - distAmount + distAmount * r ;
        }

        // LCP CA is not reflected in preview (and very small), so don't add it here

		red.push_back (Coord2D(Dx*(s+params->cacorrection.red)+w2, Dy*(s+params->cacorrection.red)+h2));
		green.push_back (Coord2D(Dx*s+w2, Dy*s+h2));
		blue.push_back (Coord2D(Dx*(s+params->cacorrection.blue)+w2, Dy*(s+params->cacorrection.blue)+h2));
	}

    // Clip all points and track if they were any corrections
        for (size_t i=0; i<src.size(); i++) {
            red[i].x = CLIPTOC(red[i].x,0,W-1,clipped);
            red[i].y = CLIPTOC(red[i].y,0,H-1,clipped);
            green[i].x = CLIPTOC(green[i].x,0,W-1,clipped);
            green[i].y = CLIPTOC(green[i].y,0,H-1,clipped);
            blue[i].x = CLIPTOC(blue[i].x,0,W-1,clipped);
            blue[i].y = CLIPTOC(blue[i].y,0,H-1,clipped);
        }

    return clipped;
}

// Transform all corners and critical sidelines of an image
bool ImProcFunctions::transCoord (int W, int H, int x, int y, int w, int h, int& xv, int& yv, int& wv, int& hv, double ascaleDef, const LCPMapper *pLCPMap) {
    const int DivisionsPerBorder=32;

    int x1 = x, y1 = y;
    int x2 = x1 + w - 1;
    int y2 = y1 + h - 1;

    // Build all edge points and half-way points
    std::vector<Coord2D> corners (8);
    corners[0].set (x1, y1);
    corners[1].set (x1, y2);
    corners[2].set (x2, y2);
    corners[3].set (x2, y1);
    corners[4].set ((x1+x2)/2, y1);
    corners[5].set ((x1+x2)/2, y2);
    corners[6].set (x1, (y1+y2)/2);
    corners[7].set (x2, (y1+y2)/2);

    // Add several steps inbetween
    int xstep = (x2-x1)/DivisionsPerBorder;
    if (xstep<1) xstep = 1;
    for (int i=x1+xstep; i<=x2-xstep; i+=xstep) {
        corners.push_back (Coord2D (i, y1));
        corners.push_back (Coord2D (i, y2));
    }
    int ystep = (y2-y1)/DivisionsPerBorder;
    if (ystep<1) ystep = 1;
    for (int i=y1+ystep; i<=y2-ystep; i+=ystep) {
        corners.push_back (Coord2D (x1, i));
        corners.push_back (Coord2D (x2, i));
    }

    std::vector<Coord2D> r, g, b;

    bool clipped = transCoord (W, H, corners, r, g, b, ascaleDef, pLCPMap);

    // Merge all R G Bs into one X/Y pool
    std::vector<Coord2D> transCorners;
    transCorners.insert (transCorners.end(), r.begin(), r.end());
    transCorners.insert (transCorners.end(), g.begin(), g.end());
    transCorners.insert (transCorners.end(), b.begin(), b.end());

    // find the min/max of all coordinates, so the borders
    double x1d = transCorners[0].x;
    for (size_t i=1; i<transCorners.size(); i++)
        if (transCorners[i].x<x1d)
            x1d = transCorners[i].x;
   int x1v = (int)(x1d);

    double y1d = transCorners[0].y;
    for (size_t i=1; i<transCorners.size(); i++)
        if (transCorners[i].y<y1d)
            y1d = transCorners[i].y;
    int y1v = (int)(y1d);

    double x2d = transCorners[0].x;
    for (size_t i=1; i<transCorners.size(); i++)
        if (transCorners[i].x>x2d)
            x2d = transCorners[i].x;
    int x2v = (int)ceil(x2d);

    double y2d = transCorners[0].y;
    for (size_t i=1; i<transCorners.size(); i++)
        if (transCorners[i].y>y2d)
            y2d = transCorners[i].y;
    int y2v = (int)ceil(y2d);

    xv = x1v;
    yv = y1v;
    wv = x2v - x1v + 1;
    hv = y2v - y1v + 1;

    return clipped;
}

void ImProcFunctions::transform (Imagefloat* original, Imagefloat* transformed, int cx, int cy, int sx, int sy, int oW, int oH, int fW, int fH,
    double focalLen, double focalLen35mm, float focusDist, int rawRotationDeg, bool fullImage) {

    LCPMapper *pLCPMap=NULL;
    if (needsLCP() && focalLen>0) {
        LCPProfile *pLCPProf=lcpStore->getProfile(params->lensProf.lcpFile);
        if (pLCPProf) pLCPMap=new LCPMapper(pLCPProf, focalLen, focalLen35mm, focusDist, 0, false, params->lensProf.useDist,
            original->width, original->height, params->coarse, rawRotationDeg);
    }

    if (!(needsCA() || needsDistortion() || needsRotation() || needsPerspective() || needsLCP()) && (needsVignetting() || needsPCVignetting() || needsGradient()))
        transformLuminanceOnly (original, transformed, cx, cy, oW, oH, fW, fH);
    else if (!needsCA() && scale!=1)
        transformPreview (original, transformed, cx, cy, sx, sy, oW, oH, fW, fH, pLCPMap);
    else
        transformHighQuality (original, transformed, cx, cy, sx, sy, oW, oH, fW, fH, pLCPMap, fullImage);

    if (pLCPMap) delete pLCPMap;
}

// helper function
void ImProcFunctions::calcVignettingParams(int oW, int oH, const VignettingParams& vignetting, double &w2, double &h2, double& maxRadius, double &v, double &b, double &mul)
{
	// vignette center is a point with coordinates between -1 and +1
	double x = vignetting.centerX / 100.0;
	double y = vignetting.centerY / 100.0;

	// calculate vignette center in pixels 
	w2 = (double) oW  / 2.0 - 0.5 + x * oW;
	h2 = (double) oH  / 2.0 - 0.5 + y * oH;

	// max vignette radius in pixels
	maxRadius = sqrt( (double)( oW*oW + oH*oH ) ) / 2.;

	// vignette variables with applied strength
	v = 1.0 + vignetting.strength * fabs(vignetting.amount) * 3.0 / 400.0;
	b = 1.0 + vignetting.radius * 7.0 / 100.0;
	mul = (1.0-v) / tanh(b);
}

struct grad_params {
	bool angle_is_zero, transpose, bright_top;
	float ta, yc, xc;
	float ys, ys_inv;
	float scale, botmul, topmul;
	float top_edge_0;
	int h;
};
static void calcGradientParams(int oW, int oH, const GradientParams& gradient, struct grad_params& gp)
{
	int w = oW;
	int h = oH;
	double gradient_stops = gradient.strength;
	double gradient_span = gradient.feather / 100.0;
	double gradient_center_x = gradient.centerX / 200.0 + 0.5;
	double gradient_center_y = gradient.centerY / 200.0 + 0.5;
	double gradient_angle = gradient.degree / 180.0 * M_PI;
	//fprintf(stderr, "%f %f %f %f %f %d %d\n", gradient_stops, gradient_span, gradient_center_x, gradient_center_y, gradient_angle, w, h);

	// make 0.0 <= gradient_angle < 2 * M_PI
	gradient_angle = fmod(gradient_angle, 2 * M_PI);
	if (gradient_angle < 0.0) {
		gradient_angle += 2.0 * M_PI;
	}

	gp.bright_top = false;
	gp.transpose = false;
	gp.angle_is_zero = false;
	gp.h = h;
	double cosgrad = cos(gradient_angle);
	if (fabs(cosgrad) < 0.707) {
		// we transpose to avoid division by zero at 90 degrees
		// (actually we could transpose only for 90 degrees, but this way we avoid
		// division with extremely small numbers
		gp.transpose = true;
		gradient_angle += 0.5 * M_PI;
		cosgrad = cos(gradient_angle);
		double gxc = gradient_center_x;
		gradient_center_x = 1.0 - gradient_center_y;
		gradient_center_y = gxc;
	}
	gradient_angle = fmod(gradient_angle, 2 * M_PI);
	if (gradient_angle > 0.5 * M_PI && gradient_angle < M_PI) {
		gradient_angle += M_PI;
		gp.bright_top = true;
	} else if (gradient_angle >= M_PI && gradient_angle < 1.5 * M_PI) {
		gradient_angle -= M_PI;
		gp.bright_top = true;
	}
	if (fabs(gradient_angle) < 0.001 || fabs(gradient_angle - 2 * M_PI) < 0.001) {
		gradient_angle = 0;
		gp.angle_is_zero = true;
	}
	if (gp.transpose) {
		gp.bright_top = !gp.bright_top;
	}
	if (gp.transpose) {
		int tmp = w;
		w = h;
		h = tmp;
	}
	gp.scale = 1.0 / pow(2, gradient_stops);
	if (gp.bright_top) {
		gp.topmul = 1.0;
		gp.botmul = gp.scale;
	} else {
		gp.topmul = gp.scale;
		gp.botmul = 1.0;
	}
	gp.ta = tan(gradient_angle);
	gp.xc = w * gradient_center_x;
	gp.yc = h * gradient_center_y;
	gp.ys = sqrt((float)h * h + (float)w * w) * (gradient_span / cos(gradient_angle));
	gp.ys_inv = 1.0 / gp.ys;
	gp.top_edge_0 = gp.yc - gp.ys/2.0;
	if (gp.ys < 1.0 / h) {
		gp.ys_inv = 0;
		gp.ys = 0;
	}
}

static float calcGradientFactor(const struct grad_params& gp, int x, int y) {
	if (gp.angle_is_zero) {
		int gy = gp.transpose ? x : y;
		int gx = gp.transpose ? y : x;
		if (gy < gp.top_edge_0) {
			return gp.topmul;
		} else if (gy >= gp.top_edge_0 + gp.ys) {
			return gp.botmul;
		} else {
			float val = ((float)(gy - gp.top_edge_0) * gp.ys_inv);
			if (gp.bright_top) {
				val = 1.0 - val;
			}
			if (gp.scale < 1.0) {
				val = pow(xsinf(val*M_PI/2), 3);
			} else {
				val = 1.0 - pow(xcosf(val*M_PI/2), 3);
			}
			return gp.scale + val * (1.0 - gp.scale);
		}
	} else {
		int gy = gp.transpose ? x : y;
		int gx = gp.transpose ? gp.h - y - 1 : x;
		float top_edge = gp.yc - gp.ys/2.0 - gp.ta * (gx - gp.xc);
		if (gy < top_edge) {
			return gp.topmul;
		} else if (gy >= top_edge + gp.ys) {
			return gp.botmul;
		} else {
			float val = ((float)(gy - top_edge) * gp.ys_inv);

			if (gp.bright_top) {
				val = 1.0 - val;
			}
			if (gp.scale < 1.0) {
				val = pow(xsinf(val*M_PI/2), 3);
			} else {
				val = 1.0 - pow(xcosf(val*M_PI/2), 3);
			}
			return gp.scale + val * (1.0 - gp.scale);
		}
	}
}

struct pcv_params {
	float oe_a, oe_b, oe1_a, oe1_b, oe2_a, oe2_b;
	float ie_mul, ie1_mul, ie2_mul;
	float sepmix, feather;
	int w, h, x1, x2, y1, y2;
	int sep;
	bool is_super_ellipse_mode, is_portrait;
	float scale;
	float fadeout_mul;
};
static void calcPCVignetteParams(int fW, int fH, int oW, int oH, const PCVignetteParams& pcvignette, const CropParams &crop, struct pcv_params& pcv) {

	// ellipse formula: (x/a)^2 + (y/b)^2 = 1
	double roundness = pcvignette.roundness / 100.0;
	pcv.feather = pcvignette.feather / 100.0;
	if (crop.enabled) {
		pcv.w = (crop.w * oW) / fW;
		pcv.h = (crop.h * oH) / fH;
		pcv.x1 = (crop.x * oW) / fW;
		pcv.y1 = (crop.y * oH) / fH;
		pcv.x2 = pcv.x1+pcv.w;
		pcv.y2 = pcv.y1+pcv.h;
	} else {
		pcv.x1 = 0, pcv.y1 = 0;
		pcv.x2 = oW, pcv.y2 = oH;
		pcv.w = oW;
		pcv.h = oH;
	}
	pcv.fadeout_mul = 1.0 / (0.05 * sqrtf(oW*oW+oH*oH));
	float short_side = (pcv.w < pcv.h) ? pcv.w : pcv.h;
	float long_side =  (pcv.w > pcv.h) ? pcv.w : pcv.h;

	pcv.sep = 2;
	pcv.sepmix = 0;
	pcv.oe_a = sqrt(2.0)*long_side*0.5;
	pcv.oe_b = pcv.oe_a * short_side / long_side;
	pcv.ie_mul = 1.0 / sqrt(2.0);
	pcv.is_super_ellipse_mode = false;
	pcv.is_portrait = (pcv.w < pcv.h);
	if (roundness < 0.5) {
		// make super-ellipse of higher and higher degree
		pcv.is_super_ellipse_mode = true;
		float sepf = 2 + 4*powf(1.0 - 2*roundness, 1.3); // gamma 1.3 used to balance the effect in the 0.0...0.5 roundness range
		pcv.sep = ((int)sepf) & ~0x1;
		pcv.sepmix = (sepf - pcv.sep) * 0.5; // 0.0 to 1.0
		pcv.oe1_a = powf(2.0, 1.0/pcv.sep)*long_side*0.5;
		pcv.oe1_b = pcv.oe1_a * short_side / long_side;
		pcv.ie1_mul = 1.0 / powf(2.0, 1.0/pcv.sep);
		pcv.oe2_a = powf(2.0, 1.0/(pcv.sep+2))*long_side*0.5;
		pcv.oe2_b = pcv.oe2_a * short_side / long_side;
		pcv.ie2_mul = 1.0 / powf(2.0, 1.0/(pcv.sep+2));
	}
	if (roundness > 0.5) {
		// scale from fitted ellipse towards circle
		float rad = sqrtf(pcv.w*pcv.w+pcv.h*pcv.h) / 2.0;
		float diff_a = rad - pcv.oe_a;
		float diff_b = rad - pcv.oe_b;
		pcv.oe_a = pcv.oe_a + diff_a * 2*(roundness - 0.5);
		pcv.oe_b = pcv.oe_b + diff_b * 2*(roundness - 0.5);
	}
	pcv.scale = powf(2, -pcvignette.strength);
	if (pcvignette.strength >= 6.0) {
		pcv.scale = 0.0;
	}
}

static float calcPCVignetteFactor(const struct pcv_params& pcv, int x, int y) {

	float fo = 1.0;
	if (x < pcv.x1 || x > pcv.x2 || y < pcv.y1 || y > pcv.y2) {
		/*
		  The initial plan was to have 1.0 directly outside the crop box (ie no fading), but due to
		  rounding/trunction here and there I didn't succeed matching up exactly on the pixel with
		  the crop box. To hide that mismatch I made a fade.
		 */
		int dist_x = (x < pcv.x1) ? pcv.x1 - x : x - pcv.x2;
		int dist_y = (y < pcv.y1) ? pcv.y1 - y : y - pcv.y2;
		if (dist_x < 0) dist_x = 0;
		if (dist_y < 0) dist_y = 0;
		fo = sqrtf(dist_x*dist_x+dist_y*dist_y) * pcv.fadeout_mul;
		if (fo >= 1.0) {
			return 1.0;
		}
	}
	float val, a, b;
	if (pcv.is_portrait) {
		a = fabs((y-pcv.y1)-pcv.h*0.5);
		b = fabs((x-pcv.x1)-pcv.w*0.5);
	} else {
		a = fabs((x-pcv.x1)-pcv.w*0.5);
		b = fabs((y-pcv.y1)-pcv.h*0.5);
	}
	float angle = xatan2f(b, a);
	float dist = sqrtf(a*a+b*b);
	float dist_oe, dist_ie;
	float2 sincosval;
	if(dist==0.0f) {
		sincosval.y = 1.0f;			// cos
		sincosval.x = 0.0f;			// sin
	} else {
		sincosval.y = a / dist;		// cos
		sincosval.x = b / dist;		// sin
	}
	if (pcv.is_super_ellipse_mode) {
		float dist_oe1 = pcv.oe1_a*pcv.oe1_b / pow_F(pow(pcv.oe1_b*sincosval.y, pcv.sep) + pow(pcv.oe1_a*sincosval.x, pcv.sep), 1.0/pcv.sep);
		float dist_oe2 = pcv.oe2_a*pcv.oe2_b / pow_F(pow(pcv.oe2_b*sincosval.y, pcv.sep+2) + pow(pcv.oe2_a*sincosval.x, pcv.sep+2), 1.0/(pcv.sep+2));
		float dist_ie1 = pcv.ie1_mul * dist_oe1 * (1.0 - pcv.feather);
		float dist_ie2 = pcv.ie2_mul * dist_oe2 * (1.0 - pcv.feather);
		dist_oe = dist_oe1 * (1.0 - pcv.sepmix) + dist_oe2 * pcv.sepmix;
		dist_ie = dist_ie1 * (1.0 - pcv.sepmix) + dist_ie2 * pcv.sepmix;
	} else {
		dist_oe = pcv.oe_a*pcv.oe_b / sqrtf(SQR(pcv.oe_b*sincosval.y) + SQR(pcv.oe_a*sincosval.x));
		dist_ie = pcv.ie_mul * dist_oe * (1.0 - pcv.feather);
	}
	if (dist <= dist_ie) {
		return 1.0;
	}

	if (dist >= dist_oe) {
		val = pcv.scale;
	} else {
		val = (dist - dist_ie) / (dist_oe - dist_ie);
		if (pcv.scale < 1.0) {
			val = pow(xcosf(val*M_PI/2), 4);
		} else {
			val = 1 - pow(xsinf(val*M_PI/2), 4);
		}
		val = pcv.scale + val * (1.0 - pcv.scale);
	}
	if (fo < 1.0) {
		val = 1.0 * fo + val * (1.0 - fo);
	}
	return val;
}

void ImProcFunctions::transformLuminanceOnly (Imagefloat* original, Imagefloat* transformed, int cx, int cy, int oW, int oH, int fW, int fH) {
	const bool applyVignetting = needsVignetting();
	const bool applyGradient = needsGradient();
	const bool applyPCVignetting = needsPCVignetting();

	double vig_w2, vig_h2, maxRadius, v, b, mul;
	if (applyVignetting) {
		calcVignettingParams(oW, oH, params->vignetting, vig_w2, vig_h2, maxRadius, v, b, mul);
	}

	struct grad_params gp;
	if (applyGradient) {
		calcGradientParams(oW, oH, params->gradient, gp);
	}

	struct pcv_params pcv;
		if (applyPCVignetting) {
		//fprintf(stderr, "%d %d | %d %d | %d %d | %d %d [%d %d]\n", fW, fH, oW, oH, transformed->width, transformed->height, cx, cy, params->crop.w, params->crop.h);
		calcPCVignetteParams(fW, fH, oW, oH, params->pcvignette, params->crop, pcv);
	}
	bool darkening = (params->vignetting.amount <= 0.0);
	#pragma omp parallel for schedule(dynamic,16) if (multiThread)
	for (int y=0; y<transformed->height; y++) {
		double vig_y_d = (double) (y + cy) - vig_h2 ;
		for (int x=0; x<transformed->width; x++) {
			double factor = 1.0;
			if (applyVignetting) {
				double vig_x_d = (double) (x + cx) - vig_w2 ;
				double r = sqrt(vig_x_d*vig_x_d + vig_y_d*vig_y_d);
				if(darkening)
					factor /= std::max(v + mul * tanh (b*(maxRadius-r) / maxRadius), 0.001);
				else
					factor = v + mul * tanh (b*(maxRadius-r) / maxRadius);
			}
			if (applyGradient) {
				factor *= calcGradientFactor(gp, cx+x, cy+y);
			}
			if (applyPCVignetting) {
				factor *= calcPCVignetteFactor(pcv, cx+x, cy+y);
			}
			transformed->r(y,x) = original->r(y,x) * factor;
			transformed->g(y,x) = original->g(y,x) * factor;
			transformed->b(y,x) = original->b(y,x) * factor;
		}
	}
}

// Transform WITH scaling (opt.) and CA, cubic interpolation
void ImProcFunctions::transformHighQuality (Imagefloat* original, Imagefloat* transformed, int cx, int cy, int sx, int sy, int oW, int oH, int fW, int fH,
    const LCPMapper *pLCPMap, bool fullImage) {

	double w2 = (double) oW  / 2.0 - 0.5;
	double h2 = (double) oH  / 2.0 - 0.5;

	double vig_w2,vig_h2,maxRadius,v,b,mul;
	calcVignettingParams(oW, oH, params->vignetting, vig_w2, vig_h2, maxRadius, v, b, mul);

	struct grad_params gp;
	if (needsGradient()) {
		calcGradientParams(oW, oH, params->gradient, gp);
	}
	struct pcv_params pcv;
	if (needsPCVignetting()) {
		calcPCVignetteParams(fW, fH, oW, oH, params->pcvignette, params->crop, pcv);
	}

    float** chOrig[3];
    chOrig[0] = original->r.ptrs;
    chOrig[1] = original->g.ptrs;
    chOrig[2] = original->b.ptrs;

    float** chTrans[3];
    chTrans[0] = transformed->r.ptrs;
    chTrans[1] = transformed->g.ptrs;
    chTrans[2] = transformed->b.ptrs;

    // auxiliary variables for c/a correction
    double chDist[3];
    chDist[0] = params->cacorrection.red;
    chDist[1] = 0.0;
    chDist[2] = params->cacorrection.blue;

	// auxiliary variables for distortion correction
    bool needsDist = needsDistortion();  // for performance
	double distAmount = params->distortion.amount;

	// auxiliary variables for rotation
	double cost = cos(params->rotate.degree * RT_PI/180.0);
	double sint = sin(params->rotate.degree * RT_PI/180.0);

	// auxiliary variables for vertical perspective correction
    double vpdeg = params->perspective.vertical / 100.0 * 45.0;
    double vpalpha = (90.0 - vpdeg) / 180.0 * RT_PI;
    double vpteta  = fabs(vpalpha-RT_PI/2)<3e-4 ? 0.0 : acos ((vpdeg>0 ? 1.0 : -1.0) * sqrt((-SQR(oW*tan(vpalpha)) + (vpdeg>0 ? 1.0 : -1.0) *
																oW*tan(vpalpha)*sqrt(SQR(4*maxRadius)+SQR(oW*tan(vpalpha))))/(SQR(maxRadius)*8)));
    double vpcospt = (vpdeg>=0 ? 1.0 : -1.0) * cos (vpteta), vptanpt = tan (vpteta);

	// auxiliary variables for horizontal perspective correction
    double hpdeg = params->perspective.horizontal / 100.0 * 45.0;
    double hpalpha = (90.0 - hpdeg) / 180.0 * RT_PI;
    double hpteta  = fabs(hpalpha-RT_PI/2)<3e-4 ? 0.0 : acos ((hpdeg>0 ? 1.0 : -1.0) * sqrt((-SQR(oH*tan(hpalpha)) + (hpdeg>0 ? 1.0 : -1.0) *
																oH*tan(hpalpha)*sqrt(SQR(4*maxRadius)+SQR(oH*tan(hpalpha))))/(SQR(maxRadius)*8)));
    double hpcospt = (hpdeg>=0 ? 1.0 : -1.0) * cos (hpteta), hptanpt = tan (hpteta);

	double ascale = params->commonTrans.autofill ? getTransformAutoFill (oW, oH, fullImage ? pLCPMap : NULL) : 1.0;

    // smaller crop images are a problem, so only when processing fully
            bool enableLCPCA   = pLCPMap && params->lensProf.useCA && fullImage && pLCPMap->enableCA; 
    bool enableLCPDist = pLCPMap && params->lensProf.useDist && fullImage;
    if (enableLCPCA) enableLCPDist=false;
            bool enableCA = enableLCPCA || needsCA();

	// main cycle
	bool darkening = (params->vignetting.amount <= 0.0);
	#pragma omp parallel for if (multiThread)
    for (int y=0; y<transformed->height; y++) {
        for (int x=0; x<transformed->width; x++) {
            double x_d=x,y_d=y;
            if (enableLCPDist) pLCPMap->correctDistortion(x_d,y_d);  // must be first transform

            x_d = ascale * (x_d + cx - w2);		// centering x coord & scale
            y_d = ascale * (y_d + cy - h2);		// centering y coord & scale

            double vig_x_d, vig_y_d;
            if (needsVignetting()) {
                vig_x_d = ascale * (x + cx - vig_w2);		// centering x coord & scale
                vig_y_d = ascale * (y + cy - vig_h2);		// centering y coord & scale
            }

            if (needsPerspective()) {
            // horizontal perspective transformation
                y_d *= maxRadius / (maxRadius + x_d*hptanpt);
                x_d *= maxRadius * hpcospt / (maxRadius + x_d*hptanpt);

            // vertical perspective transformation
                x_d *= maxRadius / (maxRadius - y_d*vptanpt);
                y_d *= maxRadius * vpcospt / (maxRadius - y_d*vptanpt);
            }

            // rotate
            double Dxc = x_d * cost - y_d * sint;
            double Dyc = x_d * sint + y_d * cost;

            // distortion correction
            double s = 1;
            if (needsDist) {
                double r = sqrt(Dxc*Dxc + Dyc*Dyc) / maxRadius;  // sqrt is slow
                s = 1.0 - distAmount + distAmount * r ;
            }

            double r2;
            if (needsVignetting()) {
                double vig_Dx = vig_x_d * cost - vig_y_d * sint;
                double vig_Dy = vig_x_d * sint + vig_y_d * cost;
                r2=sqrt(vig_Dx*vig_Dx + vig_Dy*vig_Dy);
            }

            for (int c=0; c < (enableCA ? 3 : 1); c++) {
                double Dx = Dxc * (s + chDist[c]);
                double Dy = Dyc * (s + chDist[c]);

                // de-center
                Dx += w2; Dy += h2;

                // LCP CA
                if (enableLCPCA) pLCPMap->correctCA(Dx,Dy,c);

                // Extract integer and fractions of source screen coordinates
                int xc = (int)Dx; Dx -= (double)xc; xc -= sx;
                int yc = (int)Dy; Dy -= (double)yc; yc -= sy;

                // Convert only valid pixels
                if (yc>=0 && yc<original->height && xc>=0 && xc<original->width) {

                    // multiplier for vignetting correction
                    double vignmul = 1.0;
                    if (needsVignetting())
						if(darkening)
							vignmul /= std::max(v + mul * tanh (b*(maxRadius-s*r2) / maxRadius), 0.001);
						else
							vignmul *= (v + mul * tanh (b*(maxRadius-s*r2) / maxRadius));
                    if (needsGradient()) {
                        vignmul *= calcGradientFactor(gp, cx+x, cy+y);
                    }
                    if (needsPCVignetting()) {
                        vignmul *= calcPCVignetteFactor(pcv, cx+x, cy+y);
                    }

                    if (yc > 0 && yc < original->height-2 && xc > 0 && xc < original->width-2) {
                        // all interpolation pixels inside image
                        if (enableCA)
                            interpolateTransformChannelsCubic (chOrig[c], xc-1, yc-1, Dx, Dy, &(chTrans[c][y][x]), vignmul);
                        else
                            interpolateTransformCubic (original, xc-1, yc-1, Dx, Dy, &(transformed->r(y,x)), &(transformed->g(y,x)), &(transformed->b(y,x)), vignmul);
                    } else { 
                        // edge pixels
                        int y1 = LIM(yc,   0, original->height-1);
                        int y2 = LIM(yc+1, 0, original->height-1);
                        int x1 = LIM(xc,   0, original->width-1);
                        int x2 = LIM(xc+1, 0, original->width-1);

                        if (enableCA) {
                            chTrans[c][y][x] = vignmul * (chOrig[c][y1][x1]*(1.0-Dx)*(1.0-Dy) + chOrig[c][y1][x2]*Dx*(1.0-Dy) + chOrig[c][y2][x1]*(1.0-Dx)*Dy + chOrig[c][y2][x2]*Dx*Dy);
                        } else {
                            transformed->r(y,x) = vignmul*(original->r(y1,x1)*(1.0-Dx)*(1.0-Dy) + original->r(y1,x2)*Dx*(1.0-Dy) + original->r(y2,x1)*(1.0-Dx)*Dy + original->r(y2,x2)*Dx*Dy);
                            transformed->g(y,x) = vignmul*(original->g(y1,x1)*(1.0-Dx)*(1.0-Dy) + original->g(y1,x2)*Dx*(1.0-Dy) + original->g(y2,x1)*(1.0-Dx)*Dy + original->g(y2,x2)*Dx*Dy);
                            transformed->b(y,x) = vignmul*(original->b(y1,x1)*(1.0-Dx)*(1.0-Dy) + original->b(y1,x2)*Dx*(1.0-Dy) + original->b(y2,x1)*(1.0-Dx)*Dy + original->b(y2,x2)*Dx*Dy);
                        }
                    }
                }
                else {
                    if (enableCA) {
                        // not valid (source pixel x,y not inside source image, etc.)
                        chTrans[c][y][x] = 0;
                    } else {
                        transformed->r(y,x) = 0;
                        transformed->g(y,x) = 0;
                        transformed->b(y,x) = 0;
                    }
                }
            }
        }
    }
}

// Transform WITH scaling, WITHOUT CA, simple (and fast) interpolation. Used for preview
void ImProcFunctions::transformPreview (Imagefloat* original, Imagefloat* transformed, int cx, int cy, int sx, int sy, int oW, int oH, int fW, int fH, const LCPMapper *pLCPMap) {

	double w2 = (double) oW  / 2.0 - 0.5;
	double h2 = (double) oH  / 2.0 - 0.5;

	double vig_w2, vig_h2, maxRadius, v, b, mul;
	calcVignettingParams(oW, oH, params->vignetting, vig_w2, vig_h2, maxRadius, v, b, mul);

    struct grad_params gp;
    if (needsGradient()) {
        calcGradientParams(oW, oH, params->gradient, gp);
    }
    struct pcv_params pcv;
    if (needsPCVignetting()) {
        calcPCVignetteParams(fW, fH, oW, oH, params->pcvignette, params->crop, pcv);
    }

	// auxiliary variables for distortion correction
    bool needsDist = needsDistortion();  // for performance
	double distAmount = params->distortion.amount;

	// auxiliary variables for rotation
	double cost = cos(params->rotate.degree * RT_PI/180.0);
	double sint = sin(params->rotate.degree * RT_PI/180.0);

	// auxiliary variables for vertical perspective correction
    double vpdeg = params->perspective.vertical / 100.0 * 45.0;
    double vpalpha = (90 - vpdeg) / 180.0 * RT_PI;
    double vpteta  = fabs(vpalpha-RT_PI/2)<3e-4 ? 0.0 : acos ((vpdeg>0 ? 1.0 : -1.0) * sqrt((-oW*oW*tan(vpalpha)*tan(vpalpha) + (vpdeg>0 ? 1.0 : -1.0) * oW*tan(vpalpha)*sqrt(16*maxRadius*maxRadius+oW*oW*tan(vpalpha)*tan(vpalpha)))/(maxRadius*maxRadius*8)));
    double vpcospt = (vpdeg>=0 ? 1.0 : -1.0) * cos (vpteta), vptanpt = tan (vpteta);

	// auxiliary variables for horizontal perspective correction
    double hpdeg = params->perspective.horizontal / 100.0 * 45.0;
    double hpalpha = (90 - hpdeg) / 180.0 * RT_PI;
    double hpteta  = fabs(hpalpha-RT_PI/2)<3e-4 ? 0.0 : acos ((hpdeg>0 ? 1.0 : -1.0) * sqrt((-oH*oH*tan(hpalpha)*tan(hpalpha) + (hpdeg>0 ? 1.0 : -1.0) * oH*tan(hpalpha)*sqrt(16*maxRadius*maxRadius+oH*oH*tan(hpalpha)*tan(hpalpha)))/(maxRadius*maxRadius*8)));
    double hpcospt = (hpdeg>=0 ? 1.0 : -1.0) * cos (hpteta), hptanpt = tan (hpteta);

	double ascale = params->commonTrans.autofill ? getTransformAutoFill (oW, oH, pLCPMap) : 1.0;

   	bool darkening = (params->vignetting.amount <= 0.0);

    // main cycle
	#pragma omp parallel for if (multiThread)
    for (int y=0; y<transformed->height; y++) {
        for (int x=0; x<transformed->width; x++) {
            double x_d=x,y_d=y;
            if (pLCPMap && params->lensProf.useDist) pLCPMap->correctDistortion(x_d,y_d);  // must be first transform

            y_d = ascale * (y_d + cy - h2);		// centering y coord & scale
            x_d = ascale * (x_d + cx - w2);		// centering x coord & scale

            double vig_x_d, vig_y_d;
            if (needsVignetting()) {
                vig_x_d = ascale * (x + cx - vig_w2);		// centering x coord & scale
                vig_y_d = ascale * (y + cy - vig_h2);		// centering y coord & scale
            }

            if (needsPerspective()) {
            // horizontal perspective transformation
                y_d *= maxRadius / (maxRadius + x_d*hptanpt);
                x_d *= maxRadius * hpcospt / (maxRadius + x_d*hptanpt);

            // vertical perspective transformation
                x_d *= maxRadius / (maxRadius - y_d*vptanpt);
                y_d *= maxRadius * vpcospt / (maxRadius - y_d*vptanpt);
            }

			// rotate
            double Dx = x_d * cost - y_d * sint;
            double Dy = x_d * sint + y_d * cost;

            // distortion correction
            double s = 1;
            if (needsDist) {
                double r = sqrt(Dx*Dx + Dy*Dy) / maxRadius;  // sqrt is slow
                s = 1.0 - distAmount + distAmount * r ;
	        Dx *= s;
            Dy *= s;
            }

            double r2;
            if (needsVignetting()) {  
            double vig_Dx = vig_x_d * cost - vig_y_d * sint;
            double vig_Dy = vig_x_d * sint + vig_y_d * cost;
                r2=sqrt(vig_Dx*vig_Dx + vig_Dy*vig_Dy);
            }

            // de-center
            Dx += w2; Dy += h2;

            // Extract integer and fractions of source screen coordinates
            int xc = (int)Dx; Dx -= (double)xc; xc -= sx;
            int yc = (int)Dy; Dy -= (double)yc; yc -= sy;

            // Convert only valid pixels
            if (yc>=0 && yc<original->height && xc>=0 && xc<original->width) {

                // multiplier for vignetting correction
                double vignmul = 1.0;
                if (needsVignetting())
					if(darkening)
						vignmul /= std::max(v + mul * tanh (b*(maxRadius-s*r2) / maxRadius), 0.001);
					else
						vignmul = v + mul * tanh (b*(maxRadius-s*r2) / maxRadius);
                if (needsGradient())
                    vignmul *= calcGradientFactor(gp, cx+x, cy+y);
                if (needsPCVignetting())
                    vignmul *= calcPCVignetteFactor(pcv, cx+x, cy+y);

                if (yc < original->height-1 && xc < original->width-1) {  
                    // all interpolation pixels inside image
                    transformed->r(y,x) = vignmul*(original->r(yc,xc)*(1.0-Dx)*(1.0-Dy) + original->r(yc,xc+1)*Dx*(1.0-Dy) + original->r(yc+1,xc)*(1.0-Dx)*Dy + original->r(yc+1,xc+1)*Dx*Dy);
                    transformed->g(y,x) = vignmul*(original->g(yc,xc)*(1.0-Dx)*(1.0-Dy) + original->g(yc,xc+1)*Dx*(1.0-Dy) + original->g(yc+1,xc)*(1.0-Dx)*Dy + original->g(yc+1,xc+1)*Dx*Dy);
                    transformed->b(y,x) = vignmul*(original->b(yc,xc)*(1.0-Dx)*(1.0-Dy) + original->b(yc,xc+1)*Dx*(1.0-Dy) + original->b(yc+1,xc)*(1.0-Dx)*Dy + original->b(yc+1,xc+1)*Dx*Dy);
                }
                else { 
                    // edge pixels
                	int y1 = LIM(yc,   0, original->height-1);
                	int y2 = LIM(yc+1, 0, original->height-1);
                	int x1 = LIM(xc,   0, original->width-1);
                	int x2 = LIM(xc+1, 0, original->width-1);
                    transformed->r(y,x) = vignmul*(original->r(y1,x1)*(1.0-Dx)*(1.0-Dy) + original->r(y1,x2)*Dx*(1.0-Dy) + original->r(y2,x1)*(1.0-Dx)*Dy + original->r(y2,x2)*Dx*Dy);
                    transformed->g(y,x) = vignmul*(original->g(y1,x1)*(1.0-Dx)*(1.0-Dy) + original->g(y1,x2)*Dx*(1.0-Dy) + original->g(y2,x1)*(1.0-Dx)*Dy + original->g(y2,x2)*Dx*Dy);
                    transformed->b(y,x) = vignmul*(original->b(y1,x1)*(1.0-Dx)*(1.0-Dy) + original->b(y1,x2)*Dx*(1.0-Dy) + original->b(y2,x1)*(1.0-Dx)*Dy + original->b(y2,x2)*Dx*Dy);
                }
            }
            else {
                // not valid (source pixel x,y not inside source image, etc.)
                transformed->r(y,x) = 0;
                transformed->g(y,x) = 0;
                transformed->b(y,x) = 0;
            }
        }
    }
}

double ImProcFunctions::getTransformAutoFill (int oW, int oH, const LCPMapper *pLCPMap) {
    if (!needsCA() && !needsDistortion() && !needsRotation() && !needsPerspective() && (!params->lensProf.useDist || pLCPMap==NULL))
        return 1;

	double scaleU = 2, scaleL = 0.001;  // upper and lower border, iterate inbetween

	do {
		double scale = (scaleU + scaleL) * 0.5;

        int orx, ory, orw, orh;
        bool clipped = transCoord (oW, oH, 0, 0, oW, oH, orx, ory, orw, orh, scale, pLCPMap);

        if (clipped)
        	scaleU = scale;
        else
        	scaleL = scale;
	} while (scaleU - scaleL > 0.001);

	return scaleL;
}

bool ImProcFunctions::needsCA () {
	return fabs (params->cacorrection.red) > 1e-15 || fabs (params->cacorrection.blue) > 1e-15;
}

bool ImProcFunctions::needsDistortion () {
	return fabs (params->distortion.amount) > 1e-15;
}

bool ImProcFunctions::needsRotation	() {
	return fabs (params->rotate.degree) > 1e-15;
}

bool ImProcFunctions::needsPerspective () {
	return params->perspective.horizontal || params->perspective.vertical;
}

bool ImProcFunctions::needsGradient () {
	return params->gradient.enabled && fabs(params->gradient.strength) > 1e-15;
}

bool ImProcFunctions::needsPCVignetting () {
	return params->pcvignette.enabled && fabs(params->pcvignette.strength) > 1e-15;
}

bool ImProcFunctions::needsVignetting () {
	return params->vignetting.amount;
}

bool ImProcFunctions::needsLCP () {
	return params->lensProf.lcpFile.length()>0;
}

bool ImProcFunctions::needsTransform () {
	return needsCA () || needsDistortion () || needsRotation () || needsPerspective () || needsGradient () || needsPCVignetting () || needsVignetting () || needsLCP();
}


}