CasperSecurity
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| Current File : //bin/X11/X11/X11/xkeystone |
#!/usr/bin/env nickle
/*
* Copyright © 2008 Keith Packard
*
* Permission to use, copy, modify, distribute, and sell this software and its
* documentation for any purpose is hereby granted without fee, provided that
* the above copyright notice appear in all copies and that both that copyright
* notice and this permission notice appear in supporting documentation, and
* that the name of the copyright holders not be used in advertising or
* publicity pertaining to distribution of the software without specific,
* written prior permission. The copyright holders make no representations
* about the suitability of this software for any purpose. It is provided "as
* is" without express or implied warranty.
*
* THE COPYRIGHT HOLDERS DISCLAIM ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
* INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO
* EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY SPECIAL, INDIRECT OR
* CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE,
* DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
* TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE
* OF THIS SOFTWARE.
*/
autoload Process;
autoload Nichrome;
autoload Nichrome::Box;
autoload Nichrome::Label;
autoload Nichrome::Button;
extend namespace Nichrome {
public namespace Quad {
public typedef quad_t;
public typedef widget_t + struct {
point_t[4] p;
real line_width;
real corner_diameter;
rgba_color_t line_color;
rgba_color_t corner_color;
bool down;
bool started;
int active_corner;
void(&quad_t) callback;
} quad_t;
protected void outline (cairo_t cr, &quad_t quad) {
for (int i = 0; i < dim (quad.p); i++) {
arc (cr, quad.p[i].x, quad.p[i].y,
quad.corner_diameter / 2, 0, 2 * pi);
close_path (cr);
}
}
protected void natural (cairo_t cr, &quad_t quad) {
rectangle (cr, 0, 0, 400, 300);
}
void text_at (cairo_t cr, point_t p, string text) {
text_extents_t e = text_extents (cr, text);
p.x = p.x - e.width / 2 - e.x_bearing;
p.y = p.y - e.height / 2 - e.y_bearing;
move_to (cr, p.x, p.y);
show_text (cr, text);
}
protected void draw (cairo_t cr, &quad_t quad) {
if (!quad.started) {
quad.p[2].x = quad.p[1].x = quad.geometry.width;
quad.p[3].y = quad.p[2].y = quad.geometry.height;
quad.started = true;
}
rectangle (cr, 0, 0, quad.geometry.width, quad.geometry.height);
set_source_rgba (cr, 0, 0, 0, .25);
fill (cr);
for (int i = 0; i < dim (quad.p); i++)
line_to (cr, quad.p[i].x, quad.p[i].y);
close_path (cr);
set_line_width (cr, quad.line_width);
set_source_rgba (cr, quad.line_color.red, quad.line_color.green,
quad.line_color.blue, quad.line_color.alpha);
set_line_join (cr, line_join_t.ROUND);
stroke (cr);
set_source_rgba (cr, quad.corner_color.red, quad.corner_color.green,
quad.corner_color.blue, quad.corner_color.alpha);
outline (cr, &quad);
fill (cr);
set_source_rgba (cr, 1, 1, 1, 1);
for (int i = 0; i < dim (quad.p); i++)
text_at (cr, quad.p[i], sprintf ("%d", i));
}
int nearest (&quad_t quad, point_t p) {
real best_dist2 = 0;
int best = 0;
for (int i = 0; i < dim (quad.p); i++) {
real dist2 = ((p.x - quad.p[i].x) ** 2 +
(p.y - quad.p[i].y) ** 2);
if (i == 0 || dist2 < best_dist2) {
best_dist2 = dist2;
best = i;
}
}
return best;
}
protected void button (&quad_t quad, &button_event_t event) {
enum switch (event.type) {
case press:
quad.down = true;
quad.active_corner = nearest (&quad, event);
break;
case release:
quad.down = false;
break;
default:
break;
}
}
protected void motion (&quad_t quad, &motion_event_t motion) {
if (quad.down) {
motion.x = max (0, min (quad.geometry.width, motion.x));
motion.y = max (0, min (quad.geometry.height, motion.y));
quad.p[quad.active_corner].x = motion.x;
quad.p[quad.active_corner].y = motion.y;
quad.callback (&quad);
Widget::reoutline (&quad);
Widget::redraw (&quad);
}
}
protected void configure (&quad_t quad,
rect_t geometry)
{
if (quad.geometry.width > 0 && quad.geometry.height > 0)
{
real x_scale = geometry.width / quad.geometry.width;
real y_scale = geometry.height / quad.geometry.height;
for (int i = 0; i< 4; i++) {
quad.p[i].x *= x_scale;
quad.p[i].y *= y_scale;
}
}
Widget::configure (&quad, geometry);
quad.callback (&quad);
}
protected void init (&quad_t quad,
&nichrome_t nichrome,
void (&quad_t) callback) {
Widget::init (&nichrome, &quad);
quad.outline = outline;
quad.draw = draw;
quad.button = button;
quad.motion = motion;
quad.configure = configure;
quad.natural = natural;
quad.p = (point_t[4]) {
{ x = 0, y = 0 } ...
};
quad.line_color = (rgba_color_t) {
red = 1, green = 0, blue = 0, alpha = .5
};
quad.line_width = 10;
quad.corner_color = (rgba_color_t) {
red = 0, green = 0, blue = 1, alpha = 0.75
};
quad.corner_diameter = 20;
quad.down = false;
quad.active_corner = -1;
quad.callback = callback;
quad.started = false;
}
protected *quad_t new (&nichrome_t nichrome, void(&quad_t) callback) {
quad_t quad;
init (&quad, &nichrome, callback);
return &quad;
}
}
}
import Nichrome;
import Nichrome::Box;
import Nichrome::Label;
import Nichrome::Button;
import Nichrome::Quad;
import Cairo;
typedef real[3,3] m_t;
typedef point_t[4] q_t;
/*
* Ok, given an source quad and a dest rectangle, compute
* a transform that maps the rectangle to q. That's easier
* as the rectangle has some nice simple properties. Invert
* the matrix to find the opposite mapping
*
* q0 q1
*
* q3 q2
*
* | m00 m01 m02 |
* | m10 m11 m12 |
* | m20 m21 m22 |
*
* m [ 0 0 1 ] = q[0]
*
* Set m22 to 1, and solve:
*
* | m02 , m12 , 1 | = | q0x, q0y, 1 |
*
* | m00 * w + q0x m10 * w + q0y |
* | ------------- , ------------- , 1 | = | q1x, q1y, 1 |
* | m20 * w + 1 m20 * w + 1 |
* m00*w + q0x = q1x*(m20*w + 1)
* m00 = m20*q1x + (q1x - q0x) / w;
*
* m10*w + q0y = q1y*(m20*w + 1)
* m10 = m20*q1y + (q1y - q0y) / w;
*
* m01*h + q0x = q3x*(m21*h + 1)
* m01 = m21*q3x + (q3x - q0x) / h;
*
* m11*h + q0y = q3y*(m21*h + 1)
* m11 = m21*q3y + (q3y - q0y) / h
*
* m00*w + m01*h + q0x = q2x*(m20*w + m21*h + 1)
*
* m20*q1x*w + q1x - q0x + m21*q3x*h + q3x - q0x + q0x = m20*q2x*w + m21*q2x*h + q2x
*
* m20*q1x*w - m20*q2x*w = m21*q2x*h - m21*q3x*h + q2x - q1x + q0x - q3x + q0x - q0x
*
* m20*(q1x - q2x)*w = m21*(q2x - q3x)*h + q2x - q1x - q3x + q0x
*
*
* m10*w + m11*h + q0y = q2y*(m20*w + m21*h + 1)
*
* m20*q1y*w + q1y - q0y + m21*q3y*h + q3y - q0y + q0y = m20*q2y*w + m21*q2y*h + q2y
*
* m20*q1y*w - m20*q2y*w = m21*q2y*h - m21*q3y*h + q2y - q1y + q0y - q3y + q0y - q0y
*
* m20*(q1y - q2y)*w = m21*(q2y - q3y)*h + q2y - q1y - q3y + q0y
*
*
* m20*(q1x - q2x)*(q1y - q2y)*w = m21*(q2x - q3x)*(q1y - q2y)*h + (q2x - q1x - q3x + q0x)*(q1y - q2y)
*
* m20*(q1y - q2y)*(q1x - q2x)*w = m21*(q2y - q3y)*(q1x - q2x)*h + (q2y - q1y - q3y + q0y)*(q1x - q2x)
*
* 0 = m21*((q2x - q3x)*(q1y - q2y) - (q2y - q3y)*(q1x - q2x))*h + (stuff)
* = m21 * a + b;
*
* m21 = -(stuff) / (other stuff)
*
* m20 = f(m21)
*
* m00 = f(m20)
* m10 = f(m20)
*
* m01 = f(m21)
* m11 = f(m21)
*
* done.
*/
m_t solve (q_t q, real w, real h)
{
real q0x = q[0].x, q0y = q[0].y;
real q1x = q[1].x, q1y = q[1].y;
real q2x = q[2].x, q2y = q[2].y;
real q3x = q[3].x, q3y = q[3].y;
real m00, m01, m02;
real m10, m11, m12;
real m20, m21, m22;
m02 = q0x;
m12 = q0y;
m22 = 1;
real a = ((q2x - q3x)*(q1y - q2y) - (q2y - q3y)*(q1x - q2x)) * h;
real b = (q2x - q1x - q3x + q0x) * (q1y - q2y) - (q2y - q1y - q3y + q0y) * (q1x - q2x);
m21 = - b / a;
if (q1x != q2x)
m20 = (m21 * (q2x - q3x) * h + q2x - q1x - q3x + q0x) / ((q1x - q2x) * w);
else
m20 = (m21 * (q2y - q3y) * h + q2y - q1y - q3y + q0y) / ((q1y - q2y) * w);
m00 = m20 * q1x + (q1x - q0x) / w;
m10 = m20 * q1y + (q1y - q0y) / w;
m01 = m21 * q3x + (q3x - q0x) / h;
m11 = m21 * q3y + (q3y - q0y) / h;
return (m_t) {
{ m00, m01, m02 },
{ m10, m11, m12 },
{ m20, m21, m22 } };
}
m_t
invert (m_t m)
{
real det;
int i, j;
m_t r;
static int[3] a = { 2, 2, 1 };
static int[3] b = { 1, 0, 0 };
det = 0;
for (i = 0; i < 3; i++) {
real p;
int ai = a[i];
int bi = b[i];
p = m[i,0] * (m[ai,2] * m[bi,1] - m[ai,1] * m[bi,2]);
if (i == 1)
p = -p;
det += p;
}
det = 1/det;
for (j = 0; j < 3; j++) {
for (i = 0; i < 3; i++) {
real p;
int ai = a[i];
int aj = a[j];
int bi = b[i];
int bj = b[j];
p = m[ai,aj] * m[bi,bj] - m[ai,bj] * m[bi,aj];
if (((i + j) & 1) != 0)
p = -p;
r[j,i] = det * p;
}
}
return r;
}
m_t
rescale (m_t m, real limit)
{
real max = 0;
for (int j = 0; j < 3; j++)
for (int i = 0; i < 3; i++)
if ((real v = abs (m[j,i])) > max)
max = v;
real scale = limit / max;
for (int j = 0; j < 3; j++)
for (int i = 0; i < 3; i++)
m[j,i] *= scale;
return m;
}
string
m_print (m_t m)
{
return sprintf ("%.8f,%.8f,%.8f,%.8f,%.8f,%.8f,%.8f,%.8f,%.8f",
m[0,0],m[0,1],m[0,2],
m[1,0],m[1,1],m[1,2],
m[2,0],m[2,1],m[2,2]);
/*
return sprintf ("%v,%v,%v,%v,%v,%v,%v,%v,%v",
m[0,0],m[0,1],m[0,2],
m[1,0],m[1,1],m[1,2],
m[2,0],m[2,1],m[2,2]);
*/
}
int
fixed (real x)
{
return floor (x * 65536 + 0.5) & 0xffffffff;
}
m_t
to_fixed(m_t m)
{
m_t r;
for (int i = 0; i < 3; i++)
for (int j = 0; j < 3; j++)
r[i,j] = floor(m[i,j] * 65536 + 0.5) / 65536;
return r;
}
m_t
error(m_t r, m_t f)
{
m_t e;
for (int i = 0; i < 3; i++)
for (int j = 0; j < 3; j++) {
real diff = abs(r[i,j] - f[i,j]);
if (r[i,j] != 0)
e[i,j] = diff / abs(r[i,j]);
else
e[i,j] = 0;
}
return e;
}
void
m_print_fix (m_t m)
{
for (int i = 0; i < 3; i++)
{
printf (" { 0x%08x, 0x%08x, 0x%08x },\n",
fixed (m[i,0]), fixed (m[i,1]), fixed (m[i,2]));
}
}
real[2]
map(m_t m, real x, real y)
{
real[3] in = { x, y, 1 };
real[3] out = { 0 ... };
for (int i = 0; i < 3; i++) {
for (int j = 0; j < 3; j++)
out[i] += m[i,j] * in[j];
}
return (real[2]) { out[0] / out[2], out[1]/ out[2] };
}
real
position_error(m_t r, m_t f, real x, real y)
{
real[2] p_r = map(r, x, y);
real[2] p_f = map(f, x, y);
real error;
error = sqrt((p_r[0] - p_f[0]) ** 2 + (p_r[1] - p_f[1]) ** 2);
printf ("x: %g y: %g error %g\n", x, y, error);
printf ("\treal x: %g y: %g\n", p_r[0], p_r[1]);
printf ("\tfix x: %g y: %g\n", p_f[0], p_f[1]);
return error;
}
real
max_error(m_t r, m_t f) {
real max = 0, max_x = 0, max_y = 0;
for (int x = 0; x <= 2560; x += 2560)
for (int y = 0; y <= 1600; y += 1600) {
real error = position_error(r, f, x, y);
if (error > max) {
max = error;
max_x = x;
max_y = y;
}
}
printf ("max error %g at %d, %d\n", max, max_x, max_y);
real[2] p_r = map(r, max_x ,max_y);
real[2] p_f = map(f, max_x, max_y);
printf ("\tdesired %7.2f, %7.2f actual %7.2f, %7.2f\n",
p_r[0], p_r[1],
p_f[0], p_f[1]);
return max;
}
string
m_row (m_t m, int row)
{
return sprintf ("%10.5f %10.5f %10.5f",
m[row,0],m[row,1],m[row,2]);
}
Cairo::point_t[*] scale(Cairo::point_t[*] p, real w, real h)
{
for (int i = 0; i < dim (p); i++) {
p[i].x *= w;
p[i].y *= h;
}
return p;
}
typedef struct {
string name;
rect_t geometry;
} output_t;
autoload Process;
output_t[*] get_outputs () {
output_t[...] outputs = {};
twixt (file randr = Process::popen (Process::popen_direction.read,
false, "xrandr", "xrandr");
File::close (randr))
{
while (!File::end (randr)) {
string[*] words = String::wordsplit (File::fgets (randr), " ");
if (dim (words) >= 3 && words[1] == "connected") {
int geom = 2;
if (words[geom] == "primary")
geom++;
if (File::sscanf (words[geom], "%dx%d+%d+%d",
&(int width), &(int height),
&(int x), &(int y)) == 4)
{
outputs[dim(outputs)] = (output_t) {
name = words[0],
geometry = {
x = x, y = y, width = width, height = height
}
};
}
}
}
}
return outputs;
}
void main ()
{
m_t m = { { 1, 0, 0 }, { 0, 1, 0 }, { 0, 0, 1 } }, m_i, m_r, m_f, m_e;
bool m_available = true;
output_t[*] outputs = get_outputs ();
output_t target_output;
if (dim (outputs) == 0) {
File::fprintf (stderr, "%s: No enabled outputs\n", argv[0]);
exit (1);
}
if (dim (argv) > 1) {
int i;
for (i = 0; i < dim (outputs); i++)
if (argv[1] == outputs[i].name) {
target_output = outputs[i];
break;
}
if (i == dim (outputs)) {
File::fprintf (stderr, "%s: no enabled output \"%s\"\n",
argv[0], argv[1]);
exit (1);
}
}
else
target_output = outputs[0];
real target_width = target_output.geometry.width;
real target_height = target_output.geometry.height;
real screen_width = 0;
real screen_height = 0;
for (int i = 0; i < dim (outputs); i++)
{
screen_width = max (screen_width,
outputs[i].geometry.x +
outputs[i].geometry.width);
screen_height = max (screen_height,
outputs[i].geometry.y +
outputs[i].geometry.height);
}
&nichrome_t nichrome = Nichrome::new ("Keystone Correction", 400, 350);
(*label_t)[3] label;
&label_t space = Label::new (&nichrome, "");
for (int i = 0; i < 3; i++) {
label[i] = Label::new (&nichrome, "matrix");
label[i]->font = "sans-9";
}
void callback (&quad_t quad) {
real w = quad.geometry.width;
real h = quad.geometry.height;
string[3] text;
try {
m = solve (scale (quad.p, target_width / w, target_height / h),
target_width, target_height);
m_i = invert (m);
m_r = rescale (m_i, 16384);
for (int i = 0; i < 3; i++)
text[i] = m_row (m_i,i);
m_available = true;
} catch divide_by_zero (real a, real b) {
text = (string[3]) { "no solution", "" ... };
m_available = false;
}
for (int i = 0; i < 3; i++)
Label::relabel (label[i], text[i]);
}
&quad_t quad = Quad::new (&nichrome, callback);
void doit_func (&widget_t widget, bool state)
{
if (m_available)
{
Process::system ("xrandr",
"xrandr",
"--fb",
sprintf ("%dx%d", screen_width, screen_height),
"--output",
target_output.name,
"--transform",
m_print (m_r));
}
}
&button_t doit = Button::new (&nichrome, "doit", doit_func);
void show_func (&widget_t widget, bool state)
{
if (m_available)
{
printf ("normal: %s\n", m_print (m));
printf ("inverse: %s\n", m_print (m_i));
printf ("scaled: %s\n", m_print (m_r));
m_f = to_fixed(m_r);
printf ("round: %s\n", m_print(m_f));
printf ("fixed:\n");
m_print_fix (m_i);
m_e = error(m_r, m_f);
printf ("error: %s\n", m_print (m_e));
max_error(m_r, m_f);
}
}
&button_t show = Button::new (&nichrome, "show", show_func);
&button_t quit = Button::new (&nichrome, "quit",
void func (&widget_t w, bool state) {
w.nichrome.running = false;
});
&box_t hbox = Box::new (Box::dir_t.horizontal,
Box::widget_item (&doit, 0),
Box::widget_item (&show, 0),
Box::widget_item (&quit, 0),
Box::glue_item (1));
&box_t box = Box::new (Box::dir_t.vertical,
Box::box_item (&hbox),
Box::widget_item (label[0], 1, 0),
Box::widget_item (label[1], 1, 0),
Box::widget_item (label[2], 1, 0),
Box::widget_item (&space, 1, 0),
Box::widget_item (&quad, 1));
Nichrome::set_box (&nichrome, &box);
Nichrome::main_loop (&nichrome);
}
main ();