ES-DE/external/lunasvg/3rdparty/plutovg/plutovg-geometry.c

#include "plutovg-private.h"

#include <math.h>

void plutovg_rect_init(plutovg_rect_t* rect, double x, double y, double w, double h)
{
    rect->x = x;
    rect->y = y;
    rect->w = w;
    rect->h = h;
}

void plutovg_rect_init_zero(plutovg_rect_t* rect)
{
    rect->x = 0.0;
    rect->y = 0.0;
    rect->w = 0.0;
    rect->h = 0.0;
}

void plutovg_matrix_init(plutovg_matrix_t* matrix, double m00, double m10, double m01, double m11, double m02, double m12)
{
    matrix->m00 = m00; matrix->m10 = m10;
    matrix->m01 = m01; matrix->m11 = m11;
    matrix->m02 = m02; matrix->m12 = m12;
}

void plutovg_matrix_init_identity(plutovg_matrix_t* matrix)
{
    matrix->m00 = 1.0; matrix->m10 = 0.0;
    matrix->m01 = 0.0; matrix->m11 = 1.0;
    matrix->m02 = 0.0; matrix->m12 = 0.0;
}

void plutovg_matrix_init_translate(plutovg_matrix_t* matrix, double x, double y)
{
    plutovg_matrix_init(matrix, 1.0, 0.0, 0.0, 1.0, x, y);
}

void plutovg_matrix_init_scale(plutovg_matrix_t* matrix, double x, double y)
{
    plutovg_matrix_init(matrix, x, 0.0, 0.0, y, 0.0, 0.0);
}

void plutovg_matrix_init_shear(plutovg_matrix_t* matrix, double x, double y)
{
    plutovg_matrix_init(matrix, 1.0, tan(y), tan(x), 1.0, 0.0, 0.0);
}

void plutovg_matrix_init_rotate(plutovg_matrix_t* matrix, double radians, double x, double y)
{
    double c = cos(radians);
    double s = sin(radians);

    double cx = x * (1 - c) + y * s;
    double cy = y * (1 - c) - x * s;

    plutovg_matrix_init(matrix, c, s, -s, c, cx, cy);
}

void plutovg_matrix_translate(plutovg_matrix_t* matrix, double x, double y)
{
    plutovg_matrix_t m;
    plutovg_matrix_init_translate(&m, x, y);
    plutovg_matrix_multiply(matrix, &m, matrix);
}

void plutovg_matrix_scale(plutovg_matrix_t* matrix, double x, double y)
{
    plutovg_matrix_t m;
    plutovg_matrix_init_scale(&m, x, y);
    plutovg_matrix_multiply(matrix, &m, matrix);
}

void plutovg_matrix_shear(plutovg_matrix_t* matrix, double x, double y)
{
    plutovg_matrix_t m;
    plutovg_matrix_init_shear(&m, x, y);
    plutovg_matrix_multiply(matrix, &m, matrix);
}

void plutovg_matrix_rotate(plutovg_matrix_t* matrix, double radians, double x, double y)
{
    plutovg_matrix_t m;
    plutovg_matrix_init_rotate(&m, radians, x, y);
    plutovg_matrix_multiply(matrix, &m, matrix);
}

void plutovg_matrix_multiply(plutovg_matrix_t* matrix, const plutovg_matrix_t* a, const plutovg_matrix_t* b)
{
    double m00 = a->m00 * b->m00 + a->m10 * b->m01;
    double m10 = a->m00 * b->m10 + a->m10 * b->m11;
    double m01 = a->m01 * b->m00 + a->m11 * b->m01;
    double m11 = a->m01 * b->m10 + a->m11 * b->m11;
    double m02 = a->m02 * b->m00 + a->m12 * b->m01 + b->m02;
    double m12 = a->m02 * b->m10 + a->m12 * b->m11 + b->m12;

    plutovg_matrix_init(matrix, m00, m10, m01, m11, m02, m12);
}

int plutovg_matrix_invert(plutovg_matrix_t* matrix)
{
    double det = (matrix->m00 * matrix->m11 - matrix->m10 * matrix->m01);
    if(det == 0.0)
        return 0;

    double inv_det = 1.0 / det;
    double m00 = matrix->m00 * inv_det;
    double m10 = matrix->m10 * inv_det;
    double m01 = matrix->m01 * inv_det;
    double m11 = matrix->m11 * inv_det;
    double m02 = (matrix->m01 * matrix->m12 - matrix->m11 * matrix->m02) * inv_det;
    double m12 = (matrix->m10 * matrix->m02 - matrix->m00 * matrix->m12) * inv_det;

    plutovg_matrix_init(matrix, m11, -m10, -m01, m00, m02, m12);
    return 1;
}

void plutovg_matrix_map(const plutovg_matrix_t* matrix, double x, double y, double* _x, double* _y)
{
    *_x = x * matrix->m00 + y * matrix->m01 + matrix->m02;
    *_y = x * matrix->m10 + y * matrix->m11 + matrix->m12;
}

void plutovg_matrix_map_point(const plutovg_matrix_t* matrix, const plutovg_point_t* src, plutovg_point_t* dst)
{
    plutovg_matrix_map(matrix, src->x, src->y, &dst->x, &dst->y);
}

void plutovg_matrix_map_rect(const plutovg_matrix_t* matrix, const plutovg_rect_t* src, plutovg_rect_t* dst)
{
    plutovg_point_t p[4];
    p[0].x = src->x;
    p[0].y = src->y;
    p[1].x = src->x + src->w;
    p[1].y = src->y;
    p[2].x = src->x + src->w;
    p[2].y = src->y + src->h;
    p[3].x = src->x;
    p[3].y = src->y + src->h;

    plutovg_matrix_map_point(matrix, &p[0], &p[0]);
    plutovg_matrix_map_point(matrix, &p[1], &p[1]);
    plutovg_matrix_map_point(matrix, &p[2], &p[2]);
    plutovg_matrix_map_point(matrix, &p[3], &p[3]);

    double l = p[0].x;
    double t = p[0].y;
    double r = p[0].x;
    double b = p[0].y;

    for(int i = 0;i < 4;i++)
    {
        if(p[i].x < l) l = p[i].x;
        if(p[i].x > r) r = p[i].x;
        if(p[i].y < t) t = p[i].y;
        if(p[i].y > b) b = p[i].y;
    }

    dst->x = l;
    dst->y = t;
    dst->w = r - l;
    dst->h = b - t;
}

plutovg_path_t* plutovg_path_create(void)
{
    plutovg_path_t* path = malloc(sizeof(plutovg_path_t));
    path->ref = 1;
    path->contours = 0;
    path->start.x = 0.0;
    path->start.y = 0.0;
    plutovg_array_init(path->elements);
    plutovg_array_init(path->points);
    return path;
}

plutovg_path_t* plutovg_path_reference(plutovg_path_t* path)
{
    ++path->ref;
    return path;
}

void plutovg_path_destroy(plutovg_path_t* path)
{
    if(path==NULL)
        return;

    if(--path->ref==0)
    {
        free(path->elements.data);
        free(path->points.data);
        free(path);
    }
}

int plutovg_path_get_reference_count(const plutovg_path_t* path)
{
    return path->ref;
}

void plutovg_path_move_to(plutovg_path_t* path, double x, double y)
{
    plutovg_array_ensure(path->elements, 1);
    plutovg_array_ensure(path->points, 1);

    path->elements.data[path->elements.size] = plutovg_path_element_move_to;
    plutovg_point_t* points = path->points.data + path->points.size;
    points[0].x = x;
    points[0].y = y;

    path->elements.size += 1;
    path->points.size += 1;
    path->contours += 1;

    path->start.x = x;
    path->start.y = y;
}

void plutovg_path_line_to(plutovg_path_t* path, double x, double y)
{
    plutovg_array_ensure(path->elements, 1);
    plutovg_array_ensure(path->points, 1);

    path->elements.data[path->elements.size] = plutovg_path_element_line_to;
    plutovg_point_t* points = path->points.data + path->points.size;
    points[0].x = x;
    points[0].y = y;

    path->elements.size += 1;
    path->points.size += 1;
}

void plutovg_path_quad_to(plutovg_path_t* path, double x1, double y1, double x2, double y2)
{
    double x, y;
    plutovg_path_get_current_point(path, &x, &y);

    double cx = 2.0 / 3.0 * x1 + 1.0 / 3.0 * x;
    double cy = 2.0 / 3.0 * y1 + 1.0 / 3.0 * y;
    double cx1 = 2.0 / 3.0 * x1 + 1.0 / 3.0 * x2;
    double cy1 = 2.0 / 3.0 * y1 + 1.0 / 3.0 * y2;
    plutovg_path_cubic_to(path, cx, cy, cx1, cy1, x2, y2);
}

void plutovg_path_cubic_to(plutovg_path_t* path, double x1, double y1, double x2, double y2, double x3, double y3)
{
    plutovg_array_ensure(path->elements, 1);
    plutovg_array_ensure(path->points, 3);

    path->elements.data[path->elements.size] = plutovg_path_element_cubic_to;
    plutovg_point_t* points = path->points.data + path->points.size;
    points[0].x = x1;
    points[0].y = y1;
    points[1].x = x2;
    points[1].y = y2;
    points[2].x = x3;
    points[2].y = y3;

    path->elements.size += 1;
    path->points.size += 3;
}

void plutovg_path_close(plutovg_path_t* path)
{
    if(path->elements.size == 0)
        return;

    if(path->elements.data[path->elements.size - 1] == plutovg_path_element_close)
        return;

    plutovg_array_ensure(path->elements, 1);
    plutovg_array_ensure(path->points, 1);

    path->elements.data[path->elements.size] = plutovg_path_element_close;
    plutovg_point_t* points = path->points.data + path->points.size;
    points[0].x = path->start.x;
    points[0].y = path->start.y;

    path->elements.size += 1;
    path->points.size += 1;
}

static inline void rel_to_abs(const plutovg_path_t* path, double* x, double* y)
{
    double _x, _y;
    plutovg_path_get_current_point(path, &_x, &_y);

    *x += _x;
    *y += _y;
}

void plutovg_path_rel_move_to(plutovg_path_t* path, double x, double y)
{
    rel_to_abs(path, &x, &y);
    plutovg_path_move_to(path, x, y);
}

void plutovg_path_rel_line_to(plutovg_path_t* path, double x, double y)
{
    rel_to_abs(path, &x, &y);
    plutovg_path_line_to(path, x, y);
}

void plutovg_path_rel_quad_to(plutovg_path_t* path, double x1, double y1, double x2, double y2)
{
    rel_to_abs(path, &x1, &y1);
    rel_to_abs(path, &x2, &y2);
    plutovg_path_quad_to(path, x1, y1, x2, y2);
}

void plutovg_path_rel_cubic_to(plutovg_path_t* path, double x1, double y1, double x2, double y2, double x3, double y3)
{
    rel_to_abs(path, &x1, &y1);
    rel_to_abs(path, &x2, &y2);
    rel_to_abs(path, &x3, &y3);
    plutovg_path_cubic_to(path, x1, y1, x2, y2, x3, y3);
}

void plutovg_path_add_rect(plutovg_path_t* path, double x, double y, double w, double h)
{
    plutovg_path_move_to(path, x, y);
    plutovg_path_line_to(path, x + w, y);
    plutovg_path_line_to(path, x + w, y + h);
    plutovg_path_line_to(path, x, y + h);
    plutovg_path_line_to(path, x, y);
    plutovg_path_close(path);
}

#define KAPPA 0.5522847498
void plutovg_path_add_round_rect(plutovg_path_t* path, double x, double y, double w, double h, double rx, double ry)
{
    double right = x + w;
    double bottom = y + h;

    double cpx = rx * KAPPA;
    double cpy = ry * KAPPA;

    plutovg_path_move_to(path, x, y+ry);
    plutovg_path_cubic_to(path, x, y+ry-cpy, x+rx-cpx, y, x+rx, y);
    plutovg_path_line_to(path, right-rx, y);
    plutovg_path_cubic_to(path, right-rx+cpx, y, right, y+ry-cpy, right, y+ry);
    plutovg_path_line_to(path, right, bottom-ry);
    plutovg_path_cubic_to(path, right, bottom-ry+cpy, right-rx+cpx, bottom, right-rx, bottom);
    plutovg_path_line_to(path, x+rx, bottom);
    plutovg_path_cubic_to(path, x+rx-cpx, bottom, x, bottom-ry+cpy, x, bottom-ry);
    plutovg_path_line_to(path, x, y+ry);
    plutovg_path_close(path);
}

void plutovg_path_add_ellipse(plutovg_path_t* path, double cx, double cy, double rx, double ry)
{
    double left = cx - rx;
    double top = cy - ry;
    double right = cx + rx;
    double bottom = cy + ry;

    double cpx = rx * KAPPA;
    double cpy = ry * KAPPA;

    plutovg_path_move_to(path, cx, top);
    plutovg_path_cubic_to(path, cx+cpx, top, right, cy-cpy, right, cy);
    plutovg_path_cubic_to(path, right, cy+cpy, cx+cpx, bottom, cx, bottom);
    plutovg_path_cubic_to(path, cx-cpx, bottom, left, cy+cpy, left, cy);
    plutovg_path_cubic_to(path, left, cy-cpy, cx-cpx, top, cx, top);
    plutovg_path_close(path);
}

void plutovg_path_add_circle(plutovg_path_t* path, double cx, double cy, double r)
{
    plutovg_path_add_ellipse(path, cx, cy, r, r);
}

void plutovg_path_add_path(plutovg_path_t* path, const plutovg_path_t* source, const plutovg_matrix_t* matrix)
{
    plutovg_array_ensure(path->elements, source->elements.size);
    plutovg_array_ensure(path->points, source->points.size);

    plutovg_point_t* points = path->points.data + path->points.size;
    const plutovg_point_t* data = source->points.data;
    const plutovg_point_t* end = data + source->points.size;
    while(data < end)
    {
        if(matrix)
            plutovg_matrix_map_point(matrix, data, points);
        else
            memcpy(points, data, sizeof(plutovg_point_t));

        points += 1;
        data += 1;
    }

    plutovg_path_element_t* elements = path->elements.data + path->elements.size;
    memcpy(elements, source->elements.data, (size_t)source->elements.size * sizeof(plutovg_path_element_t));

    path->elements.size += source->elements.size;
    path->points.size += source->points.size;
    path->contours += source->contours;
    path->start = source->start;
}

void plutovg_path_transform(plutovg_path_t* path, const plutovg_matrix_t* matrix)
{
    plutovg_point_t* points = path->points.data;
    plutovg_point_t* end = points + path->points.size;
    while(points < end)
    {
        plutovg_matrix_map_point(matrix, points, points);
        points += 1;
    }
}

void plutovg_path_get_current_point(const plutovg_path_t* path, double* x, double* y)
{
    *x = 0.0;
    *y = 0.0;

    if(path->points.size == 0)
        return;

    *x = path->points.data[path->points.size - 1].x;
    *y = path->points.data[path->points.size - 1].y;
}

int plutovg_path_get_element_count(const plutovg_path_t* path)
{
    return path->elements.size;
}

plutovg_path_element_t* plutovg_path_get_elements(const plutovg_path_t* path)
{
    return path->elements.data;
}

int plutovg_path_get_point_count(const plutovg_path_t* path)
{
    return path->points.size;
}

plutovg_point_t* plutovg_path_get_points(const plutovg_path_t* path)
{
    return path->points.data;
}

void plutovg_path_clear(plutovg_path_t* path)
{
    path->elements.size = 0;
    path->points.size = 0;
    path->contours = 0;
    path->start.x = 0.0;
    path->start.y = 0.0;
}

int plutovg_path_empty(const plutovg_path_t* path)
{
    return path->elements.size == 0;
}

plutovg_path_t* plutovg_path_clone(const plutovg_path_t* path)
{
    plutovg_path_t* result = plutovg_path_create();
    plutovg_array_ensure(result->elements, path->elements.size);
    plutovg_array_ensure(result->points, path->points.size);

    memcpy(result->elements.data, path->elements.data, (size_t)path->elements.size * sizeof(plutovg_path_element_t));
    memcpy(result->points.data, path->points.data, (size_t)path->points.size * sizeof(plutovg_point_t));

    result->elements.size = path->elements.size;
    result->points.size = path->points.size;
    result->contours = path->contours;
    result->start = path->start;
    return result;
}

typedef struct {
    double x1; double y1;
    double x2; double y2;
    double x3; double y3;
    double x4; double y4;
} bezier_t;

static inline void split(const bezier_t* b, bezier_t* first, bezier_t* second)
{
    double c = (b->x2 + b->x3) * 0.5;
    first->x2 = (b->x1 + b->x2) * 0.5;
    second->x3 = (b->x3 + b->x4) * 0.5;
    first->x1 = b->x1;
    second->x4 = b->x4;
    first->x3 = (first->x2 + c) * 0.5;
    second->x2 = (second->x3 + c) * 0.5;
    first->x4 = second->x1 = (first->x3 + second->x2) * 0.5;

    c = (b->y2 + b->y3) * 0.5;
    first->y2 = (b->y1 + b->y2) * 0.5;
    second->y3 = (b->y3 + b->y4) * 0.5;
    first->y1 = b->y1;
    second->y4 = b->y4;
    first->y3 = (first->y2 + c) * 0.5;
    second->y2 = (second->y3 + c) * 0.5;
    first->y4 = second->y1 = (first->y3 + second->y2) * 0.5;
}

static void flatten(plutovg_path_t* path, const plutovg_point_t* p0, const plutovg_point_t* p1, const plutovg_point_t* p2, const plutovg_point_t* p3)
{
    bezier_t beziers[32];
    beziers[0].x1 = p0->x;
    beziers[0].y1 = p0->y;
    beziers[0].x2 = p1->x;
    beziers[0].y2 = p1->y;
    beziers[0].x3 = p2->x;
    beziers[0].y3 = p2->y;
    beziers[0].x4 = p3->x;
    beziers[0].y4 = p3->y;

    const double threshold = 0.25;

    bezier_t* b = beziers;
    while(b >= beziers)
    {
        double y4y1 = b->y4 - b->y1;
        double x4x1 = b->x4 - b->x1;
        double l = fabs(x4x1) + fabs(y4y1);
        double d;
        if(l > 1.0)
        {
            d = fabs((x4x1)*(b->y1 - b->y2) - (y4y1)*(b->x1 - b->x2)) + fabs((x4x1)*(b->y1 - b->y3) - (y4y1)*(b->x1 - b->x3));
        }
        else
        {
            d = fabs(b->x1 - b->x2) + fabs(b->y1 - b->y2) + fabs(b->x1 - b->x3) + fabs(b->y1 - b->y3);
            l = 1.0;
        }

        if(d < threshold*l || b == beziers + 31)
        {
            plutovg_path_line_to(path, b->x4, b->y4);
            --b;
        }
        else
        {
            split(b, b+1, b);
            ++b;
        }
    }
}

plutovg_path_t* plutovg_path_clone_flat(const plutovg_path_t* path)
{
    plutovg_path_t* result = plutovg_path_create();
    plutovg_array_ensure(result->elements, path->elements.size);
    plutovg_array_ensure(result->points, path->points.size);
    plutovg_point_t* points = path->points.data;

    for(int i = 0;i < path->elements.size;i++)
    {
        switch(path->elements.data[i])
        {
        case plutovg_path_element_move_to:
            plutovg_path_move_to(result, points[0].x, points[0].y);
            points += 1;
            break;
        case plutovg_path_element_line_to:
            plutovg_path_line_to(result, points[0].x, points[0].y);
            points += 1;
            break;
        case plutovg_path_element_close:
            plutovg_path_line_to(result, points[0].x, points[0].y);
            points += 1;
            break;
        case plutovg_path_element_cubic_to:
        {
            plutovg_point_t p0;
            plutovg_path_get_current_point(result, &p0.x, &p0.y);
            flatten(result, &p0, points, points + 1, points + 2);
            points += 3;
            break;
        }
        }
    }

    return result;
}