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% pdfsetmatrix.w
%
% Copyright 2009 Taco Hoekwater <taco@@luatex.org>
%
% This file is part of LuaTeX.
%
% LuaTeX 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 2 of the License, or (at your
% option) any later version.
%
% LuaTeX 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 Lesser General Public
% License for more details.
%
% You should have received a copy of the GNU General Public License along
% with LuaTeX; if not, see <http://www.gnu.org/licenses/>.
@ @c
#include "ptexlib.h"
@ stack for \.{\\pdfextension setmatrix}
@c
matrix_entry *matrix_stack = NULL;
int matrix_stack_size = 0;
int matrix_stack_used = 0;
@ @c
boolean matrixused(void)
{
return matrix_stack_used > 0;
}
static void matrix_stack_room(void)
{
matrix_entry *new_stack;
if (matrix_stack_used >= matrix_stack_size) {
matrix_stack_size += STACK_INCREMENT;
new_stack = xtalloc((unsigned) matrix_stack_size, matrix_entry);
memcpy((void *) new_stack, (void *) matrix_stack, (unsigned) matrix_stack_used * sizeof(matrix_entry));
xfree(matrix_stack);
matrix_stack = new_stack;
}
}
@ \.{\\pdfextension setmatrix{a b c d}}
|e| := pos.h
|f| := pos.v
|M_top|: current active matrix at the top of the matrix stack
The origin of \.{\\pdfextension setmatrix} is the current point. The annotation
coordinate system is the original page coordinate system. When pdfTeX calculates
annotation rectangles it does not take into account this transformations, it uses
the original coordinate system. To get the corrected values, first we go back to
the origin, perform the transformation and go back:
{\obeylines\obeyspaces\tt
( 1 0 0 ) ( a b 0 ) ( 1 0 0 )
( 0 1 0 ) x ( c d 0 ) x ( 0 1 0 ) x M\_top
( -e -f 1 ) ( 0 0 1 ) ( e f 1 )
( 1 0 0 ) ( a b 0 )
= ( 0 1 0 ) x ( c d 0 ) x M\_top
( e f 1 ) ( -e -f 1 )
( a b 0 )
= ( c d 0 ) x M\_top
( e(1-a)-fc f(1-d)-eb 1 )
}
@c
static void pdfsetmatrix(const char *in, scaledpos pos)
{
/*
Argument of \.{\\pdfextension setmatrix} starts with |str_pool[in]| and ends
before |str_pool[pool_ptr]|.
*/
matrix_entry x, *y, *z;
if (global_shipping_mode == SHIPPING_PAGE) {
if (sscanf((const char *) in, " %lf %lf %lf %lf ", &x.a, &x.b, &x.c, &x.d) != 4) {
formatted_warning("pdf backend","unrecognized format of setmatrix: %s", in);
return;
}
/* calculate this transformation matrix */
x.e = (double) pos.h * (1.0 - x.a) - (double) pos.v * x.c;
x.f = (double) pos.v * (1.0 - x.d) - (double) pos.h * x.b;
matrix_stack_room();
z = &matrix_stack[matrix_stack_used];
if (matrix_stack_used > 0) {
y = &matrix_stack[matrix_stack_used - 1];
z->a = x.a * y->a + x.b * y->c;
z->b = x.a * y->b + x.b * y->d;
z->c = x.c * y->a + x.d * y->c;
z->d = x.c * y->b + x.d * y->d;
z->e = x.e * y->a + x.f * y->c + y->e;
z->f = x.e * y->b + x.f * y->d + y->f;
} else {
z->a = x.a;
z->b = x.b;
z->c = x.c;
z->d = x.d;
z->e = x.e;
z->f = x.f;
}
matrix_stack_used++;
}
}
@ Apply matrix to point (x,y)
{\obeylines\obeyspaces\tt
( a b 0 )
( x y 1 ) x ( c d 0 ) = ( xa+yc+e xb+yd+f 1 )
( e f 1 )
}
If \.{\\pdfextension setmatrix} wasn't used, then return the value unchanged.
@ Return values for matrix tranform functions:
@c
static scaled ret_llx;
static scaled ret_lly;
static scaled ret_urx;
static scaled ret_ury;
scaled getllx(void)
{
return ret_llx;
}
scaled getlly(void)
{
return ret_lly;
}
scaled geturx(void)
{
return ret_urx;
}
scaled getury(void)
{
return ret_ury;
}
@ @c
static int last_llx;
static int last_lly;
static int last_urx;
static int last_ury;
#define DO_ROUND(x) ((x > 0) ? (x + .5) : (x - .5))
#define DO_MIN(a, b) ((a < b) ? a : b)
#define DO_MAX(a, b) ((a > b) ? a : b)
static void do_matrixtransform(scaled x, scaled y, scaled * retx, scaled * rety)
{
matrix_entry *m = &matrix_stack[matrix_stack_used - 1];
double x_old = x;
double y_old = y;
double x_new = x_old * m->a + y_old * m->c + m->e;
double y_new = x_old * m->b + y_old * m->d + m->f;
*retx = (scaled) DO_ROUND(x_new);
*rety = (scaled) DO_ROUND(y_new);
}
void matrixtransformrect(scaled llx, scaled lly, scaled urx, scaled ury)
{
scaled x1, x2, x3, x4, y1, y2, y3, y4;
if (global_shipping_mode == SHIPPING_PAGE && matrix_stack_used > 0) {
last_llx = llx;
last_lly = lly;
last_urx = urx;
last_ury = ury;
do_matrixtransform(llx, lly, &x1, &y1);
do_matrixtransform(llx, ury, &x2, &y2);
do_matrixtransform(urx, lly, &x3, &y3);
do_matrixtransform(urx, ury, &x4, &y4);
ret_llx = DO_MIN(DO_MIN(x1, x2), DO_MIN(x3, x4));
ret_lly = DO_MIN(DO_MIN(y1, y2), DO_MIN(y3, y4));
ret_urx = DO_MAX(DO_MAX(x1, x2), DO_MAX(x3, x4));
ret_ury = DO_MAX(DO_MAX(y1, y2), DO_MAX(y3, y4));
} else {
ret_llx = llx;
ret_lly = lly;
ret_urx = urx;
ret_ury = ury;
}
}
void matrixtransformpoint(scaled x, scaled y)
{
if (global_shipping_mode == SHIPPING_PAGE && matrix_stack_used > 0) {
do_matrixtransform(x, y, &ret_llx, &ret_lly);
} else {
ret_llx = x;
ret_lly = y;
}
}
void matrixrecalculate(scaled urx)
{
matrixtransformrect(last_llx, last_lly, urx, last_ury);
}
@ @c
void pdf_out_setmatrix(PDF pdf, halfword p)
{
scaledpos pos = pdf->posstruct->pos;
int old_setting; /* holds print |selector| */
str_number s;
old_setting = selector;
selector = new_string;
show_token_list(token_link(pdf_setmatrix_data(p)), null, -1);
pdfsetmatrix((char *) cur_string, pos);
tprint(" 0 0 cm");
selector = old_setting;
s = make_string();
pdf_literal(pdf, s, set_origin, false);
flush_str(s);
}
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