path: root/gs/src/gxshade1.c

/* Copyright (C) 1998 Aladdin Enterprises.  All rights reserved.

   This file is part of Aladdin Ghostscript.

   Aladdin Ghostscript is distributed with NO WARRANTY OF ANY KIND.  No author
   or distributor accepts any responsibility for the consequences of using it,
   or for whether it serves any particular purpose or works at all, unless he
   or she says so in writing.  Refer to the Aladdin Ghostscript Free Public
   License (the "License") for full details.

   Every copy of Aladdin Ghostscript must include a copy of the License,
   normally in a plain ASCII text file named PUBLIC.  The License grants you
   the right to copy, modify and redistribute Aladdin Ghostscript, but only
   under certain conditions described in the License.  Among other things, the
   License requires that the copyright notice and this notice be preserved on
   all copies.
 */

/*$Id$ */
/* Rendering for non-mesh shadings */
#include "math_.h"
#include "gx.h"
#include "gserrors.h"
#include "gsmatrix.h"		/* for gscoord.h */
#include "gscoord.h"
#include "gspath.h"
#include "gxcspace.h"
#include "gxdcolor.h"
#include "gxfarith.h"
#include "gxfixed.h"
#include "gxistate.h"
#include "gxpath.h"
#include "gxshade.h"

/* ================ Utilities ================ */

/* Check whether 2 colors fall within the smoothness criterion. */
private bool
shade_colors2_converge(const gs_client_color cc[2],
		       const shading_fill_state_t * pfs)
{
    int ci;

    for (ci = pfs->num_components - 1; ci >= 0; --ci)
	if (fabs(cc[1].paint.values[ci] - cc[0].paint.values[ci]) >
	    pfs->cc_max_error[ci]
	    )
	    return false;
    return true;
}

/* Fill a user space rectangle that is also a device space rectangle. */
private int
shade_fill_device_rectangle(const shading_fill_state_t * pfs,
			    const gs_fixed_point * p0, const gs_fixed_point * p1, gx_device_color * pdevc)
{
    gs_imager_state *pis = pfs->pis;
    fixed xmin, ymin, xmax, ymax;
    int x, y;

    if (p0->x < p1->x)
	xmin = p0->x, xmax = p1->x;
    else
	xmin = p1->x, xmax = p0->x;
    if (p0->y < p1->y)
	ymin = p0->y, ymax = p1->y;
    else
	ymin = p1->y, ymax = p0->y;
/****** CONFINE TO rect ******/
/****** NOT QUITE RIGHT FOR PIXROUND ******/
    xmin -= pis->fill_adjust.x;
    xmax += pis->fill_adjust.x;
    ymin -= pis->fill_adjust.y;
    ymax += pis->fill_adjust.y;
    x = fixed2int_var(xmin);
    y = fixed2int_var(ymin);
    return
	gx_fill_rectangle_device_rop(x, y,
				     fixed2int_var(xmax) - x,
				     fixed2int_var(ymax) - y,
				     pdevc, pfs->dev, pis->log_op);
}

/* ================ Specific shadings ================ */

/* ---------------- Function-based shading ---------------- */

typedef struct Fb_fill_state_s {
    shading_fill_state_common;
    const gs_shading_Fb_t *psh;
    gs_matrix_fixed ptm;	/* parameter space -> device space */
    gs_client_color cc[4];
} Fb_fill_state_t;

private int
Fb_fill_region(Fb_fill_state_t * pfs, floatp x0, floatp y0, floatp x1,
	       floatp y1)
{
    const gs_shading_Fb_t *psh = pfs->psh;
    gs_imager_state *pis = pfs->pis;

  top:if (!shade_colors4_converge(pfs->cc,
				(const shading_fill_state_t *)pfs)
	) {
	/*
	 * The colors don't converge.  Does the region color more than
	 * a single pixel?
	 */
	gs_rect region;

	region.p.x = x0, region.p.y = y0;
	region.q.x = x1, region.q.y = y1;
	gs_bbox_transform(&region, (const gs_matrix *)&pfs->ptm, &region);
	if (region.q.x - region.p.x >= 1 || region.q.y - region.p.y >= 1)
	    goto recur;
	{
	    /*
	     * More precisely, does the bounding box of the region,
	     * taking fill adjustment into account, span more than 1
	     * pixel center in either X or Y?
	     */
	    fixed ax = pis->fill_adjust.x;
	    int nx =
	    fixed2int_pixround(float2fixed(region.q.x) + ax) -
	    fixed2int_pixround(float2fixed(region.p.x) - ax);
	    fixed ay = pis->fill_adjust.y;
	    int ny =
	    fixed2int_pixround(float2fixed(region.q.y) + ay) -
	    fixed2int_pixround(float2fixed(region.p.y) - ay);

	    if ((nx > 1 && ny != 0) || (ny > 1 && nx != 0))
		goto recur;
	}
	/* We could do the 1-pixel case a lot faster! */
    }
    /* Fill the region with the color. */
    {
	gx_device_color dev_color;
	const gs_color_space *pcs = psh->params.ColorSpace;
	gs_fixed_point pts[4];
	int code;

	if_debug0('|', "[|]... filling region\n");
	(*pcs->type->restrict_color) (&pfs->cc[0], pcs);
	(*pcs->type->remap_color) (&pfs->cc[0], pcs, &dev_color, pis,
				   pfs->dev, gs_color_select_texture);
	gs_point_transform2fixed(&pfs->ptm, x0, y0, &pts[0]);
	gs_point_transform2fixed(&pfs->ptm, x1, y1, &pts[2]);
	if (is_xxyy(&pfs->ptm) || is_xyyx(&pfs->ptm)) {
	    code =
		shade_fill_device_rectangle((const shading_fill_state_t *)pfs,
					    &pts[0], &pts[2], &dev_color);
	} else {
	    gx_path *ppath = gx_path_alloc(pis->memory, "Fb_fill");

	    gs_point_transform2fixed(&pfs->ptm, x1, y0, &pts[1]);
	    gs_point_transform2fixed(&pfs->ptm, x0, y1, &pts[3]);
	    gx_path_add_point(ppath, pts[0].x, pts[0].y);
	    gx_path_add_lines(ppath, pts + 1, 3);
	    code = shade_fill_path((const shading_fill_state_t *)pfs,
				   ppath, &dev_color);
	    gx_path_free(ppath, "Fb_fill");
	}
	return code;
    }

    /*
     * No luck.  Subdivide the region and recur.
     *
     * We should subdivide on the axis that has the largest color
     * discrepancy, but for now we subdivide on the axis with the
     * largest coordinate difference.
     */
  recur:{
	gs_client_color cc[4];
	gs_function_t *pfn = psh->params.Function;
	float v[2];

	if (y1 - y0 > x1 - x0) {
	    /* Subdivide in Y. */
	    float ym = (y0 + y1) * 0.5;

	    if_debug1('|', "[|]dividing at y=%g\n", ym);
	    v[1] = ym;
	    v[0] = x0;
	    gs_function_evaluate(pfn, v, cc[0].paint.values);
	    v[0] = x1;
	    gs_function_evaluate(pfn, v, cc[1].paint.values);
	    cc[2].paint = pfs->cc[2].paint;
	    cc[3].paint = pfs->cc[3].paint;
	    pfs->cc[2].paint = cc[0].paint;
	    pfs->cc[3].paint = cc[1].paint;
	    Fb_fill_region(pfs, x0, y0, x1, ym);
	    y0 = ym;
	} else {
	    /* Subdivide in X. */
	    float xm = (x0 + x1) * 0.5;

	    if_debug1('|', "[|]dividing at x=%g\n", xm);
	    v[0] = xm;
	    v[1] = y0;
	    gs_function_evaluate(pfn, v, cc[0].paint.values);
	    v[1] = y1;
	    gs_function_evaluate(pfn, v, cc[2].paint.values);
	    cc[1].paint = pfs->cc[1].paint;
	    cc[3].paint = pfs->cc[3].paint;
	    pfs->cc[1].paint = cc[0].paint;
	    pfs->cc[3].paint = cc[2].paint;
	    Fb_fill_region(pfs, x0, y0, xm, y1);
	    x0 = xm;
	}
	pfs->cc[0].paint = cc[0].paint;
	pfs->cc[1].paint = cc[1].paint;
	pfs->cc[2].paint = cc[2].paint;
	pfs->cc[3].paint = cc[3].paint;
    }
    goto top;
}

int
gs_shading_Fb_fill_rectangle(const gs_shading_t * psh0, const gs_rect * rect,
			     gx_device * dev, gs_imager_state * pis)
{
    const gs_shading_Fb_t *psh = (const gs_shading_Fb_t *)psh0;
    gs_matrix save_ctm;
    int xi, yi, code;
    float x[2], y[2];
    Fb_fill_state_t state;

    shade_init_fill_state((shading_fill_state_t *) & state, psh0, dev, pis);
    state.psh = psh;
/****** HACK ******/
    gs_currentmatrix((gs_state *) pis, &save_ctm);
    gs_concat((gs_state *) pis, &psh->params.Matrix);
    state.ptm = pis->ctm;
    /* Compute the parameter X and Y ranges. */
    {
	gs_rect pbox;

	gs_bbox_transform_inverse(rect, &psh->params.Matrix, &pbox);
	x[0] = max(pbox.p.x, psh->params.Domain[0]);
	x[1] = min(pbox.q.x, psh->params.Domain[1]);
	y[0] = max(pbox.p.y, psh->params.Domain[2]);
	y[1] = min(pbox.q.y, psh->params.Domain[3]);
    }
    for (xi = 0; xi < 2; ++xi)
	for (yi = 0; yi < 2; ++yi) {
	    float v[2];

	    v[0] = x[xi], v[1] = y[yi];
	    gs_function_evaluate(psh->params.Function, v,
				 state.cc[yi * 2 + xi].paint.values);
	}
    code = Fb_fill_region(&state, x[0], y[0], x[1], y[1]);
/****** HACK ******/
    gs_setmatrix((gs_state *) pis, &save_ctm);
    return code;
}

/* ---------------- Axial shading ---------------- */

typedef struct A_fill_state_s {
    shading_fill_state_common;
    const gs_shading_A_t *psh;
    gs_rect rect;
    gs_client_color cc[2];
    gs_point delta;
    double length, dd;
} A_fill_state_t;

/* Note t0 and t1 vary over [0..1], not the Domain. */
private int
A_fill_region(A_fill_state_t * pfs, floatp t0, floatp t1)
{
    const gs_shading_A_t *psh = pfs->psh;

  top:if (!shade_colors2_converge(pfs->cc,
				(const shading_fill_state_t *)pfs)
	) {
	/*
	 * The colors don't converge.  Is the stripe less than 1 pixel wide?
	 */
	if (pfs->length * (t1 - t0) > 1)
	    goto recur;
	/* We could do the 1-pixel case a lot faster! */
    }
    /* Fill the region with the color. */
    {
	gx_device_color dev_color;
	const gs_color_space *pcs = psh->params.ColorSpace;
	gs_imager_state *pis = pfs->pis;
	double
	       x0 = psh->params.Coords[0] + pfs->delta.x * t0, y0 = psh->params.Coords[1] + pfs->delta.y * t0;
	double
	       x1 = psh->params.Coords[0] + pfs->delta.x * t1, y1 = psh->params.Coords[1] + pfs->delta.y * t1;
	gs_fixed_point pts[4];
	int code;

	(*pcs->type->restrict_color) (&pfs->cc[0], pcs);
	(*pcs->type->remap_color) (&pfs->cc[0], pcs, &dev_color, pis,
				   pfs->dev, gs_color_select_texture);
	if (x0 == x1) {
	    /* Stripe is horizontal. */
	    x0 = pfs->rect.p.x;
	    x1 = pfs->rect.q.x;
	} else if (y0 == y1) {
	    /* Stripe is vertical. */
	    y0 = pfs->rect.p.y;
	    y1 = pfs->rect.q.y;
	} else {
	    /*
	     * Stripe is neither horizontal nor vertical.
	     * Extend it to the edges of the rectangle.
	     */
	    gx_path *ppath = gx_path_alloc(pis->memory, "A_fill");

	    /*
	     * Figuring out how far to extend the stripe is hard,
	     * since one or both of x0/y0 and x1/y1 may lie outside
	     * the rectangle but part of the stripe may lie inside.
	     * For now, we do something simple and ****** WRONG ******.
	     */
	    double dist = max(pfs->rect.q.x - pfs->rect.p.x,
			      pfs->rect.q.y - pfs->rect.p.y);
	    double denom = hypot(pfs->delta.x, pfs->delta.y);
	    double dx = dist * pfs->delta.y / denom, dy = -dist * pfs->delta.x / denom;

	    if_debug6('|', "[|]p0=(%g,%g), p1=(%g,%g), dxy=(%g,%g)\n",
		      x0, y0, x1, y1, dx, dy);
	    gs_point_transform2fixed(&pis->ctm, x0 - dx, y0 - dy, &pts[0]);
	    gs_point_transform2fixed(&pis->ctm, x0 + dx, y0 + dy, &pts[1]);
	    gs_point_transform2fixed(&pis->ctm, x1 + dx, y1 + dy, &pts[2]);
	    gs_point_transform2fixed(&pis->ctm, x1 - dx, y1 - dy, &pts[3]);
	    gx_path_add_point(ppath, pts[0].x, pts[0].y);
	    gx_path_add_lines(ppath, pts + 1, 3);
	    code = shade_fill_path((const shading_fill_state_t *)pfs,
				   ppath, &dev_color);
	    gx_path_free(ppath, "A_fill");
	}
	/* Stripe is horizontal or vertical. */
	gs_point_transform2fixed(&pis->ctm, x0, y0, &pts[0]);
	gs_point_transform2fixed(&pis->ctm, x1, y1, &pts[1]);
	return
	    shade_fill_device_rectangle((const shading_fill_state_t *)pfs,
					&pts[0], &pts[1], &dev_color);
    }

    /*
     * No luck.  Subdivide the interval and recur.
     */
  recur:{
	gs_client_color ccm, cc1;
	gs_function_t *pfn = psh->params.Function;
	float tm = (t0 + t1) * 0.5;
	float dm = tm * pfs->dd + psh->params.Domain[0];

	cc1.paint = pfs->cc[1].paint;
	gs_function_evaluate(pfn, &dm, ccm.paint.values);
	pfs->cc[1].paint = ccm.paint;
	A_fill_region(pfs, t0, tm);
	pfs->cc[0].paint = ccm.paint;
	pfs->cc[1].paint = cc1.paint;
	t0 = tm;
	goto top;
    }
    return 0;
}

int
gs_shading_A_fill_rectangle(const gs_shading_t * psh0, const gs_rect * rect,
			    gx_device * dev, gs_imager_state * pis)
{
    const gs_shading_A_t *const psh = (const gs_shading_A_t *)psh0;
    A_fill_state_t state;
    float d0 = psh->params.Domain[0], d1 = psh->params.Domain[1], dd = d1 - d0;
    float t[2];
    gs_point dist;
    int i;

    shade_init_fill_state((shading_fill_state_t *) & state, psh0, dev, pis);
    state.psh = psh;
    state.rect = *rect;
    /* Compute the parameter range. */
    t[0] = d0;
    t[1] = d1;
/****** INTERSECT Domain WITH rect ******/
    for (i = 0; i < 2; ++i)
	gs_function_evaluate(psh->params.Function, &t[i],
			     state.cc[i].paint.values);
    state.delta.x = psh->params.Coords[2] - psh->params.Coords[0];
    state.delta.y = psh->params.Coords[3] - psh->params.Coords[1];
    gs_distance_transform(state.delta.x, state.delta.y, &ctm_only(pis),
			  &dist);
    state.length = hypot(dist.x, dist.y);	/* device space line length */
    state.dd = dd;
/****** DOESN'T HANDLE Extend ******/
    return A_fill_region(&state, (t[0] - d0) / dd, (t[1] - d0) / dd);
}

/* ---------------- Radial shading ---------------- */

typedef struct R_fill_state_s {
    shading_fill_state_common;
    const gs_shading_R_t *psh;
    gs_rect rect;
    gs_client_color cc[2];
    gs_point delta;
    double dr, width, dd;
} R_fill_state_t;

/* Note t0 and t1 vary over [0..1], not the Domain. */
private int
R_fill_region(R_fill_state_t * pfs, floatp t0, floatp t1)
{
    const gs_shading_R_t *psh = pfs->psh;

  top:if (!shade_colors2_converge(pfs->cc,
				(const shading_fill_state_t *)pfs)
	) {
	/*
	 * The colors don't converge.  Is the annulus less than 1 pixel wide?
	 */
	if (pfs->width * (t1 - t0) > 1)
	    goto recur;
	/* We could do the 1-pixel case a lot faster! */
    }
    /* Fill the region with the color. */
    {
	gx_device_color dev_color;
	const gs_color_space *pcs = psh->params.ColorSpace;
	gs_imager_state *pis = pfs->pis;
	double
	       x0 = psh->params.Coords[0] + pfs->delta.x * t0, y0 = psh->params.Coords[1] + pfs->delta.y * t0,
	       r0 = psh->params.Coords[2] + pfs->dr * t0;
	double
	       x1 = psh->params.Coords[0] + pfs->delta.x * t1, y1 = psh->params.Coords[1] + pfs->delta.y * t1,
	       r1 = psh->params.Coords[2] + pfs->dr * t1;
	gx_path *ppath = gx_path_alloc(pis->memory, "R_fill");
	int code;

	(*pcs->type->restrict_color) (&pfs->cc[0], pcs);
	(*pcs->type->remap_color) (&pfs->cc[0], pcs, &dev_color, pis,
				   pfs->dev, gs_color_select_texture);
	if ((code = gs_imager_arc_add(ppath, pis, false, x0, y0, r0,
				      0.0, 360.0, false)) >= 0 &&
	    (code = gs_imager_arc_add(ppath, pis, true, x1, y1, r1,
				      0.0, 360.0, false)) >= 0
	    ) {
	    code = shade_fill_path((const shading_fill_state_t *)pfs,
				   ppath, &dev_color);
	}
	gx_path_free(ppath, "R_fill");
	return code;
    }

    /*
     * No luck.  Subdivide the interval and recur.
     */
  recur:{
	gs_client_color ccm, cc1;
	gs_function_t *pfn = psh->params.Function;
	float tm = (t0 + t1) * 0.5;
	float dm = tm * pfs->dd + psh->params.Domain[0];

	cc1.paint = pfs->cc[1].paint;
	gs_function_evaluate(pfn, &dm, ccm.paint.values);
	pfs->cc[1].paint = ccm.paint;
	R_fill_region(pfs, t0, tm);
	pfs->cc[0].paint = ccm.paint;
	pfs->cc[1].paint = cc1.paint;
	t0 = tm;
	goto top;
    }
    return 0;
}

int
gs_shading_R_fill_rectangle(const gs_shading_t * psh0, const gs_rect * rect,
			    gx_device * dev, gs_imager_state * pis)
{
    const gs_shading_R_t *const psh = (const gs_shading_R_t *)psh0;
    R_fill_state_t state;
    float d0 = psh->params.Domain[0], d1 = psh->params.Domain[1], dd = d1 - d0;
    float t[2];
    int i;

    shade_init_fill_state((shading_fill_state_t *) & state, psh0, dev, pis);
    state.psh = psh;
    state.rect = *rect;
    /* Compute the parameter range. */
    t[0] = d0;
    t[1] = d1;
/****** INTERSECT Domain WITH rect ******/
    for (i = 0; i < 2; ++i)
	gs_function_evaluate(psh->params.Function, &t[i],
			     state.cc[i].paint.values);
    state.delta.x = psh->params.Coords[3] - psh->params.Coords[0];
    state.delta.y = psh->params.Coords[4] - psh->params.Coords[1];
    state.dr = psh->params.Coords[5] - psh->params.Coords[2];
    /*
     * Compute the annulus width in its thickest direction.  This is
     * only used for a conservative check, so it can be pretty crude
     * (and it is!).
     */
    state.width =
	(fabs(pis->ctm.xx) + fabs(pis->ctm.xy) + fabs(pis->ctm.yx) +
	 fabs(pis->ctm.yy)) * fabs(state.dr);
    state.dd = dd;
/****** DOESN'T HANDLE Extend ******/
    return R_fill_region(&state, (t[0] - d0) / dd, (t[1] - d0) / dd);
}