function DrawVector($Ax, $Ay, $Bx, $By, $color = 'black', $arrow_width = 5, $width = 1, $angle = 45)
{
$svg = DrawLine($Ax, $Ay, $Bx, $By, $color, $width);
list($C1x, $C1y) = Rotate($Bx, $By, $Ax, $By - ($Ay - $By), $angle);
list($C2x, $C2y) = LinePoint($Bx, $By, $C1x, $C1y, $arrow_width);
$svg .= DrawLine($Bx, $By, $C2x, $C2y, $color, $width);
list($D1x, $D1y) = Rotate($Bx, $By, $Ax, $By - ($Ay - $By), -$angle);
list($D2x, $D2y) = LinePoint($Bx, $By, $D1x, $D1y, $arrow_width);
$svg .= DrawLine($Bx, $By, $D2x, $D2y, $color, $width);
return $svg;
}
function Triangle($sides = [], $nodes = [], $colors = [])
{
$width = 400;
$height = 250;
$paddingX = 50;
$paddingY = 50;
$svg = '<div class="img-question text-center">
<svg width="' . $width . '" height="' . $height . '">';
$Ax = $paddingX;
$Ay = $height - $paddingY;
$Bx = $width - $paddingX;
$By = $height - $paddingY;
list($Cx, $Cy) = Triangle($Ax, $Ay, $Bx, $By, 35, 55);
$svg .= DrawLine($Ax, $Ay, $Bx, $By);
$svg .= DrawLine($Ax, $Ay, $Cx, $Cy);
$svg .= DrawLine($Cx, $Cy, $Bx, $By);
$svg .= DrawText($Ax, $Ay + 25, '$A$', 15);
$svg .= DrawText($Bx, $By + 25, '$B$', 15);
$svg .= DrawText($Cx, $Cy - 10, '$C$', 15);
$svg .= DrawText($Ax + 40, $Ay - 7, '$\\alpha$', 15);
$svg .= DrawText($Bx - 30, $By - 10, '$\\beta$', 15);
$svg .= DrawArc($Ax, $Ay, $Bx, $By, $Cx, $Cy, 65);
$svg .= DrawArc($Bx, $By, $Cx, $Cy, $Ax, $Ay, 55);
list($P1x, $P1y) = LinePoint($Cx, $Cy, $Ax, $Ay, 25);
list($P2x, $P2y) = LinePoint($Cx, $Cy, $Bx, $By, 25);
list($P3x, $P3y) = Translate($P1x, $P1y, 25, $Cx, $Cy, $Bx, $By);
$svg .= DrawLine($P1x, $P1y, $P3x, $P3y);
$svg .= DrawLine($P2x, $P2y, $P3x, $P3y);
foreach ($sides as $key => $side) {
switch ($side) {
case 'AC':
case 'CA':
$svg .= DrawLine($Ax, $Ay, $Cx, $Cy, $colors[$key], 2);
$svg .= DrawText(($Ax + $Cx) / 2 - 20, ($Ay + $Cy) / 2, '$\\textcolor{' . $colors[$key] . '}{' . $nodes[$key] . '}$', 15);
break;
case 'AB':
case 'BA':
$svg .= DrawLine($Ax, $Ay, $Bx, $By, $colors[$key], 2);
$svg .= DrawText(($Ax + $Bx) / 2, ($Ay + $By) / 2 + 25, '$\\textcolor{' . $colors[$key] . '}{' . $nodes[$key] . '}$', 15);
break;
case 'BC':
case 'CB':
$svg .= DrawLine($Bx, $By, $Cx, $Cy, $colors[$key], 2);
$svg .= DrawText(($Bx + $Cx) / 2 + 20, ($By + $Cy) / 2, '$\\textcolor{' . $colors[$key] . '}{' . $nodes[$key] . '}$', 15);
break;
}
}
$svg .= '</svg></div>';
return $svg;
}
function Coordinates3($Px, $Py, $Qx, $Qy, $type = 'node')
{
if ($type == 'center') {
$Cx = ($Px + $Qx) / 2;
$Cy = ($Py + $Qy) / 2;
list($C1x, $C1y) = Rotate($Cx, $Cy, $Px, $Py, 45);
list($Rx, $Ry) = LinePoint($Cx, $Cy, $C1x, $C1y, 0.5);
} else {
$length = Length($Px, $Py, $Qx, $Qy);
list($Rx, $Ry) = LinePoint($Px, $Py, $Qx, $Qy, $length + 0.5);
}
return array($Rx, $Ry);
}
function Bottom($a, $option = 0)
{
$width = 250;
$height = 250;
$centerX = $width / 2;
$centerY = $height / 2;
$radius = 100;
$svg = '<div class="img-question text-center">
<svg width="' . $width . '" height="' . $height . '">';
for ($i = 0; $i < 6; $i++) {
$alfa = $i * 60;
// Rotate point
list($Px, $Py) = Rotate($centerX, $centerY, $centerX + $radius, $centerY, $alfa);
$points[] = [$Px, $Py];
// Draw side
if ($i > 0) {
$svg .= DrawLine($points[$i - 1][0], $points[$i - 1][1], $Px, $Py, 'black', 2);
$side_x = ($points[$i - 1][0] + $Px) / 2;
$side_y = ($points[$i - 1][1] + $Py) / 2;
// Node
list($Ex, $Ey) = LinePoint($centerX, $centerY, $side_x, $side_y, $radius);
$svg .= DrawText($Ex, $Ey + 7, '$' . $a . '$', 12);
}
if ($i == 5) {
$svg .= DrawLine($points[0][0], $points[0][1], $Px, $Py, 'black', 2);
$side_x = ($points[0][0] + $Px) / 2;
$side_y = ($points[0][1] + $Py) / 2;
// Node
list($Ex, $Ey) = LinePoint($centerX, $centerY, $side_x, $side_y, $radius);
$svg .= DrawText($Ex, $Ey + 7, '$' . $a . '$', 12);
}
// Draw edge
$svg .= DrawPath($centerX, $centerY, $Px, $Py, $color1 = 'black', $width = 1, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
if ($option == 1) {
$A = $points[4];
$B = $points[5];
$svg .= DrawLine($A[0], $A[1], $B[0], $B[1], 'blue', 2);
$svg .= DrawLine($A[0], $A[1], $centerX, $centerY, 'blue', 2);
$svg .= DrawLine($B[0], $B[1], $centerX, $centerY, 'blue', 2);
$svg .= DrawPath($centerX, $centerY, ($A[0] + $B[0]) / 2, ($A[1] + $B[1]) / 2, $color1 = 'black', $width = 1, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
$svg .= '</svg></div>';
return $svg;
}
function LabelCoordinates($P, $Q, $type = 'node')
{
if ($type == 'center') {
$C[0] = ($P[0] + $Q[0]) / 2;
$C[1] = ($P[1] + $Q[1]) / 2;
list($C1[0], $C1[1]) = Rotate($C[0], $C[1], $P[0], $P[1], -45);
list($R[0], $R[1]) = LinePoint($C[0], $C[1], $C1[0], $C1[1], 0.7);
} elseif ($type == 'minus') {
$length = Length($P[0], $P[1], $Q[0], $Q[1]);
list($R[0], $R[1]) = LinePoint($P[0], $P[1], $Q[0], $Q[1], $length - 0.7);
} else {
$length = Length($P[0], $P[1], $Q[0], $Q[1]);
list($R[0], $R[1]) = LinePoint($P[0], $P[1], $Q[0], $Q[1], $length + 0.7);
}
return $R;
}
