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+/*
+ * 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;
+ 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);
+ }
+ }
+
+ 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 = 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].x = motion.x;
+ quad.p[quad.active].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.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 = -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;
+}
+
+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]));
+ }
+}
+
+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" &&
+ File::sscanf (words[2], "%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;
+ 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));
+ printf ("fixed:\n");
+ m_print_fix (m_i);
+ }
+ }
+
+ &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], 0),
+ Box::widget_item (label[1], 0),
+ Box::widget_item (label[2], 0),
+ Box::widget_item (&space, 0),
+ Box::widget_item (&quad, 1));
+ Nichrome::set_box (&nichrome, &box);
+ Nichrome::main_loop (&nichrome);
+}
+
+main ();