function Vectors($angle, $size, $option = 0)
{
$width = 400;
$height = 250;
$svg = '<div class="img-question text-center">
<svg width="' . $width . '" height="' . $height . '">';
$paddingX = 50;
$paddingY = 40;
$length = 170;
$Ax = $width - $paddingX - $length;
$Ay = $height - $paddingY;
$Bx = $Ax + $length;
$By = $Ay;
list($Cx, $Cy) = Rotate($Ax, $Ay, $Bx, $By, 120);
$Dx = $Cx + $length;
$Dy = $Cy;
$svg .= DrawText($Ax - 5, $Ay + 30, '$A$', 12);
$svg .= DrawText($Bx - 5, $By + 30, '$B$', 12);
$svg .= DrawText($Cx - 5, $Cy - 10, '$C$', 12);
$svg .= DrawArc($Ax, $Ay, $Bx, $By, $Cx, $Cy, 50);
$svg .= DrawVector($Ax, $Ay, $Bx, $By, 'black', 10, 2, 10);
$svg .= DrawVector($Ax, $Ay, $Cx, $Cy, 'black', 10, 2, 10);
$svg .= DrawText(($Ax + $Bx) / 2, ($Ay + $By) / 2 + 30, '$' . $size . '$', 12);
$svg .= DrawText(($Ax + $Cx) / 2 - 23, ($Ay + $Cy) / 2, '$' . $size . '$', 12);
$svg .= DrawText($Ax + 20, $Ay - 15, '$' . $angle . '°$', 12);
if ($option) {
$svg .= DrawVector($Cx, $Cy, $Bx, $By, 'black', 10, 2, 10);
$svg .= DrawText(($Bx + $Cx) / 2 + 40, ($By + $Cy) / 2 - 10, '$\\overrightarrow{AB}-\\overrightarrow{AC}$', 12, 'black');
}
$svg .= '</svg></div>';
return $svg;
}
function AbsFunctionGraph($x1, $x2, $a, $b, $progress = 0)
{
$bottom = min(abs($x1 + $a), abs($x2 + $a), 0) + ($b < 0 ? $b : 0);
$top = max(abs($x1 + $a), abs($x2 + $a)) + ($b > 0 ? $b : 0);
$left = $x1;
$right = $x2;
$linesx = $top - $bottom + 3;
$linesy = $right - $left + 3;
$unit = 400 / $linesy < 40 ? 40 : 400 / $linesy;
$width = $unit * $linesy;
$height = $unit * $linesx;
$svg = '<div class="img-question text-center">
<svg width="' . $width . '" height="' . $height . '">';
// Origo
$Ox = (1.5 - $left) * $unit;
$Oy = $height - (1.5 - $bottom) * $unit;
if ($unit < 45) {
$fontsize = 10;
} elseif ($unit < 50) {
$fontsize = 11;
} else {
$fontsize = 12;
}
// Guides
for ($i = 0; $i < $linesy; $i++) {
$x = (0.5 + $i) * $unit;
$svg .= DrawLine($x, 0, $x, $height, '#F2F2F2');
$num = $i + $left - 1;
if ($num == 0) {
$svg .= DrawText($Ox + $unit / 3, $Oy + $unit / 2, '$0$', $fontsize);
} else {
$svg .= DrawLine($x, $Oy - 5, $x, $Oy + 5, 'black', 2);
$svg .= DrawText($x, $Oy + $unit / 2, '$' . $num . '$', $fontsize);
}
}
for ($i = 0; $i < $linesx; $i++) {
$y = (0.5 + $i) * $unit;
$svg .= DrawLine(0, $y, $width, $y, '#F2F2F2');
$num = $top - $i + 1;
if ($num != 0) {
$svg .= DrawLine($Ox + 5, $y, $Ox - 5, $y, 'black', 2);
if ($num <= 9 && $num > 0) {
$shift = $unit / 3;
} elseif ($num > -10 || $num > 9) {
$shift = $unit / 2;
} else {
$shift = $unit / 1.7;
}
$svg .= DrawText($Ox - $shift, $y + $unit / 5, '$' . $num . '$', $fontsize);
}
}
// Axes
$svg .= DrawVector($Ox, $height, $Ox, 0, 'black', 10, 2);
$svg .= DrawVector(0, $Oy, $width, $Oy, 'black', 10, 2);
$svg .= DrawText($width - $unit / 2, $Oy - $unit / 3, '$x$', $fontsize * 1.5);
$svg .= DrawText($Ox + $unit / 2, $unit / 3, '$y$', $fontsize * 1.5);
// Coordinates for |x|
list($X1A, $Y1A) = $this->Coordinates2($x1, abs($x1), $height, $left, $bottom, $unit);
list($X2A, $Y2A) = $this->Coordinates2(0, 0, $height, $left, $bottom, $unit);
list($X3A, $Y3A) = $this->Coordinates2($x2, abs($x2), $height, $left, $bottom, $unit);
// Coordinates for |x+a|
list($X1B, $Y1B) = $this->Coordinates2($x1, abs($x1 + $a), $height, $left, $bottom, $unit);
list($X2B, $Y2B) = $this->Coordinates2(-$a, 0, $height, $left, $bottom, $unit);
list($X3B, $Y3B) = $this->Coordinates2($x2, abs($x2 + $a), $height, $left, $bottom, $unit);
// Coordinates for |x+a|+b
list($X1C, $Y1C) = $this->Coordinates2($x1, abs($x1 + $a) + $b, $height, $left, $bottom, $unit);
list($X2C, $Y2C) = $this->Coordinates2(-$a, $b, $height, $left, $bottom, $unit);
list($X3C, $Y3C) = $this->Coordinates2($x2, abs($x2 + $a) + $b, $height, $left, $bottom, $unit);
if ($progress == 0) {
// End points for |x|
$svg .= DrawCircle($X1A, $Y1A, 3, 'red', 1, 'red');
$svg .= DrawCircle($X3A, $Y3A, 3, 'red', 1, 'red');
// Lines for |x|
$svg .= DrawLine($X1A, $Y1A, $X2A, $Y2A, 'red', 2);
$svg .= DrawLine($X2A, $Y2A, $X3A, $Y3A, 'red', 2);
} elseif ($progress == 1) {
// End points for |x|
$svg .= DrawCircle($X1A, $Y1A, 3, 'blue', 1, 'blue');
$svg .= DrawCircle($X3A, $Y3A, 3, 'blue', 1, 'blue');
// Lines for |x|
$svg .= DrawPath($X1A, $Y1A, $X2A, $Y2A, $color1 = 'blue', $width = 2, $color2 = 'none', $dasharray2asharray1 = 5, $dasharray2 = 5);
$svg .= DrawPath($X2A, $Y2A, $X3A, $Y3A, $color1 = 'blue', $width = 2, $color2 = 'none', $dasharray2asharray1 = 5, $dasharray2 = 5);
// Vector from old to new
$svg .= DrawVector($X2A, $Y2A, $X2B, $Y2B, 'green', 10, 2, 30);
// End points for |x+a|
$svg .= DrawCircle($X1B, $Y1B, 3, 'red', 1, 'red');
$svg .= DrawCircle($X3B, $Y3B, 3, 'red', 1, 'red');
// Lines for |x+a|
$svg .= DrawLine($X1B, $Y1B, $X2B, $Y2B, 'red', 2);
$svg .= DrawLine($X2B, $Y2B, $X3B, $Y3B, 'red', 2);
} elseif ($progress == 2) {
// End points for |x+a|
$svg .= DrawCircle($X1B, $Y1B, 3, 'blue', 1, 'blue');
$svg .= DrawCircle($X3B, $Y3B, 3, 'blue', 1, 'blue');
// Lines for |x+a|
$svg .= DrawPath($X1B, $Y1B, $X2B, $Y2B, $color1 = 'blue', $width = 2, $color2 = 'none', $dasharray2asharray1 = 5, $dasharray2 = 5);
$svg .= DrawPath($X2B, $Y2B, $X3B, $Y3B, $color1 = 'blue', $width = 2, $color2 = 'none', $dasharray2asharray1 = 5, $dasharray2 = 5);
// Vector from old to new
$svg .= DrawVector($X2B, $Y2B, $X2C, $Y2C, 'green', 10, 2, 30);
// End points for |x+a|+b
$svg .= DrawCircle($X1C, $Y1C, 3, 'red', 1, 'red');
$svg .= DrawCircle($X3C, $Y3C, 3, 'red', 1, 'red');
// Lines for |x+a|+b
$svg .= DrawLine($X1C, $Y1C, $X2C, $Y2C, 'red', 2);
$svg .= DrawLine($X2C, $Y2C, $X3C, $Y3C, 'red', 2);
} else {
// Lines between end points and y axis
if (abs($x1 + $a) > abs($x2 + $a)) {
if (abs($x1 + $a) + $b != 0) {
list($X1D, $Y1D) = $this->Coordinates2(0, abs($x1 + $a) + $b, $height, $left, $bottom, $unit);
$svg .= DrawPath($X1C, $Y1C, $X1D, $Y1D, $color1 = 'green', $width = 2, $color2 = 'none', $dasharray2asharray1 = 5, $dasharray2 = 5);
}
} else {
if (abs($x2 + $a) + $b != 0) {
list($X3D, $Y3D) = $this->Coordinates2(0, abs($x2 + $a) + $b, $height, $left, $bottom, $unit);
$svg .= DrawPath($X3C, $Y3C, $X3D, $Y3D, $color1 = 'green', $width = 2, $color2 = 'none', $dasharray2asharray1 = 5, $dasharray2 = 5);
}
}
if ($b != 0) {
list($X2D, $Y2D) = $this->Coordinates2(0, $b, $height, $left, $bottom, $unit);
$svg .= DrawPath($X2C, $Y2C, $X2D, $Y2D, $color1 = 'green', $width = 2, $color2 = 'none', $dasharray2asharray1 = 5, $dasharray2 = 5);
}
// End points for |x+a|+b
$svg .= DrawCircle($X1C, $Y1C, 3, 'red', 1, 'red');
$svg .= DrawCircle($X3C, $Y3C, 3, 'red', 1, 'red');
// Lines for |x+a|+b
$svg .= DrawLine($X1C, $Y1C, $X2C, $Y2C, 'red', 2);
$svg .= DrawLine($X2C, $Y2C, $X3C, $Y3C, 'red', 2);
}
$svg .= '</svg></div>';
return $svg;
}
function Vectors($angle, $size, $option = 0)
{
$width = 400;
$height = 250;
$svg = '<div class="img-question text-center">
<svg width="' . $width . '" height="' . $height . '">';
if ($angle == 60) {
$paddingX = 50;
$paddingY = 50;
$length = 170;
$Ax = $paddingX;
$Ay = $height - $paddingY;
$Bx = $Ax + $length;
$By = $Ay;
list($Cx, $Cy) = Rotate($Ax, $Ay, $Bx, $By, 60);
$Dx = $Cx + $length;
$Dy = $Cy;
$svg .= DrawText($Ax - 5, $Ay + 30, '$A$', 12);
$svg .= DrawText($Bx - 5, $By + 30, '$B$', 12);
$svg .= DrawText($Cx - 5, $Cy - 10, '$C$', 12);
$svg .= DrawArc($Ax, $Ay, $Bx, $By, $Cx, $Cy, 70);
$svg .= DrawVector($Ax, $Ay, $Bx, $By, 'black', 10, 2, 30);
$svg .= DrawVector($Ax, $Ay, $Cx, $Cy, 'black', 10, 2, 30);
$svg .= DrawText(($Ax + $Bx) / 2, ($Ay + $By) / 2 + 30, '$' . $size . '$', 12);
$svg .= DrawText(($Ax + $Cx) / 2 - 13, ($Ay + $Cy) / 2, '$' . $size . '$', 12);
if (!$option) {
$svg .= DrawText($Ax + 40, $Ay - 15, '$60°$', 12);
} else {
$svg .= DrawPath($Bx, $By, $Cx, $Cy, 'black', 2, 'none', 2, 2);
if ($option == 2) {
$svg .= DrawPath($Bx, $By, $Dx, $Dy, 'black', 2, 'none', 2, 2);
$svg .= DrawPath($Cx, $Cy, $Dx, $Dy, 'black', 2, 'none', 2, 2);
$svg .= DrawVector($Ax, $Ay, $Dx, $Dy, 'black', 10, 2, 30);
$svg .= DrawText($Dx - 15, $Dy - 10, '$\\overrightarrow{AB}+\\overrightarrow{AC}$', 12, 'black');
} else {
$svg .= DrawText($Ax + 40, $Ay - 15, '$60°$', 12);
}
}
} elseif ($angle == 90) {
$paddingX = 50;
$paddingY = 40;
$length = 170;
$Ax = ($width - $length) / 2;
$Ay = $height - $paddingY;
$Bx = $Ax + $length;
$By = $Ay;
list($Cx, $Cy) = Rotate($Ax, $Ay, $Bx, $By, $angle);
$Dx = $Cx + $length;
$Dy = $Cy;
$svg .= DrawText($Ax - 5, $Ay + 30, '$A$', 12);
$svg .= DrawText($Bx - 5, $By + 30, '$B$', 12);
$svg .= DrawText($Cx - 5, $Cy - 10, '$C$', 12);
$svg .= DrawArc($Ax, $Ay, $Bx, $By, $Cx, $Cy, 60);
$svg .= DrawVector($Ax, $Ay, $Bx, $By, 'black', 10, 2, 30);
$svg .= DrawVector($Ax, $Ay, $Cx, $Cy, 'black', 10, 2, 30);
$svg .= DrawText(($Ax + $Bx) / 2, ($Ay + $By) / 2 + 30, '$' . $size . '$', 12);
$svg .= DrawText(($Ax + $Cx) / 2 - 13, ($Ay + $Cy) / 2, '$' . $size . '$', 12);
if (!$option) {
$svg .= DrawText($Ax + 25, $Ay - 15, '$90°$', 12);
} else {
$svg .= DrawPath($Bx, $By, $Dx, $Dy, 'black', 2, 'none', 2, 2);
$svg .= DrawPath($Cx, $Cy, $Dx, $Dy, 'black', 2, 'none', 2, 2);
if ($option == 2) {
$svg .= DrawVector($Ax, $Ay, $Dx, $Dy, 'black', 10, 2, 30);
$svg .= DrawText($Dx - 15, $Dy - 10, '$\\overrightarrow{AB}+\\overrightarrow{AC}$', 12, 'black');
} else {
$svg .= DrawText($Ax + 25, $Ay - 15, '$90°$', 12);
}
}
} elseif ($angle == 120) {
$paddingX = 50;
$paddingY = 40;
$length = 170;
$Ax = $width - $paddingX - $length;
$Ay = $height - $paddingY;
$Bx = $Ax + $length;
$By = $Ay;
list($Cx, $Cy) = Rotate($Ax, $Ay, $Bx, $By, $angle);
$Dx = $Cx + $length;
$Dy = $Cy;
$svg .= DrawText($Ax - 5, $Ay + 30, '$A$', 12);
$svg .= DrawText($Bx - 5, $By + 30, '$B$', 12);
$svg .= DrawText($Cx - 5, $Cy - 10, '$C$', 12);
$svg .= DrawVector($Ax, $Ay, $Bx, $By, 'black', 10, 2, 30);
$svg .= DrawVector($Ax, $Ay, $Cx, $Cy, 'black', 10, 2, 30);
$svg .= DrawText(($Ax + $Bx) / 2, ($Ay + $By) / 2 + 30, '$' . $size . '$', 12);
$svg .= DrawText(($Ax + $Cx) / 2 - 13, ($Ay + $Cy) / 2, '$' . $size . '$', 12);
if (!$option) {
$svg .= DrawArc($Ax, $Ay, $Bx, $By, $Cx, $Cy, 50);
$svg .= DrawText($Ax + 20, $Ay - 15, '$120°$', 12);
} else {
$svg .= DrawArc($Ax, $Ay, $Bx, $By, $Dx, $Dy, 50);
$svg .= DrawArc($Ax, $Ay, $Bx, $By, $Cx, $Cy, 60);
$svg .= DrawPath($Bx, $By, $Dx, $Dy, 'black', 2, 'none', 2, 2);
$svg .= DrawPath($Cx, $Cy, $Dx, $Dy, 'black', 2, 'none', 2, 2);
$svg .= DrawVector($Ax, $Ay, $Dx, $Dy, 'black', 10, 2, 30);
$svg .= DrawText($Dx - 15, $Dy - 10, '$\\overrightarrow{AB}+\\overrightarrow{AC}$', 12, 'black');
$svg .= DrawText($Ax + 30, $Ay - 10, '$60°$', 12);
}
}
$svg .= '</svg></div>';
return $svg;
}
function Rhombus($Cx, $Cy, $vx, $vy, $mult, $progress = 0)
{
// Calculate coordinates (nodes)
list($Tx, $Ty, $Rx, $Ry, $Px, $Py, $Sx, $Sy) = $this->Coordinates1($Cx, $Cy, $vx, $vy, $mult);
$bottom = min($Py, $Ry, $Sy, $Ty, 0);
$top = max($Py, $Ry, $Sy, $Ty, 0);
$left = min($Px, $Rx, $Sx, $Tx, 0);
$right = max($Px, $Rx, $Sx, $Tx, 0);
// print_r('bottom: '.$bottom.'<br />');
// print_r('top: '.$top.'<br />');
// print_r('left: '.$left.'<br />');
// print_r('right: '.$right.'<br />');
$linesx = $top - $bottom + 3;
$linesy = $right - $left + 3;
$unit = 400 / $linesy < 40 ? 40 : 400 / $linesy;
$width = $unit * $linesy;
$height = $unit * $linesx;
// Calculate coordinates (labels)
list($C2x, $C2y) = $this->Coordinates3($Rx, $Ry, $Tx, $Ty, 'center');
list($T2x, $T2y) = $this->Coordinates3($Cx, $Cy, $Tx, $Ty);
list($R2x, $R2y) = $this->Coordinates3($Cx, $Cy, $Rx, $Ry);
list($S2x, $S2y) = $this->Coordinates3($Cx, $Cy, $Sx, $Sy);
list($P2x, $P2y) = $this->Coordinates3($Cx, $Cy, $Px, $Py);
// Calculate coordinates on canvas (nodes)
list($C3x, $C3y) = $this->Coordinates2($Cx, $Cy, $height, $left, $bottom, $unit);
list($T3x, $T3y) = $this->Coordinates2($Tx, $Ty, $height, $left, $bottom, $unit);
list($R3x, $R3y) = $this->Coordinates2($Rx, $Ry, $height, $left, $bottom, $unit);
list($S3x, $S3y) = $this->Coordinates2($Sx, $Sy, $height, $left, $bottom, $unit);
list($P3x, $P3y) = $this->Coordinates2($Px, $Py, $height, $left, $bottom, $unit);
// Calculate coordinates on canvas (labels)
list($C4x, $C4y) = $this->Coordinates2($C2x, $C2y, $height, $left, $bottom, $unit);
list($T4x, $T4y) = $this->Coordinates2($T2x, $T2y, $height, $left, $bottom, $unit);
list($R4x, $R4y) = $this->Coordinates2($R2x, $R2y, $height, $left, $bottom, $unit);
list($S4x, $S4y) = $this->Coordinates2($S2x, $S2y, $height, $left, $bottom, $unit);
list($P4x, $P4y) = $this->Coordinates2($P2x, $P2y, $height, $left, $bottom, $unit);
// print_r('T('.$Tx.';'.$Ty.')<br />');
// print_r('R('.$Rx.';'.$Ry.')<br />');
// print_r('S('.$Sx.';'.$Sy.')<br />');
// print_r('P('.$Px.';'.$Py.')<br />');
$svg = '<div class="img-question text-center">
<svg width="' . $width . '" height="' . $height . '">';
// Origo
$Ox = (1.5 - $left) * $unit;
$Oy = $height - (1.5 - $bottom) * $unit;
if ($unit < 45) {
$fontsize = 10;
} elseif ($unit < 50) {
$fontsize = 11;
} else {
$fontsize = 12;
}
// Guides
for ($i = 0; $i < $linesy; $i++) {
$x = (0.5 + $i) * $unit;
$svg .= DrawLine($x, 0, $x, $height, '#F2F2F2');
$num = $i + $left - 1;
if ($num == 0) {
$svg .= DrawText($Ox + $unit / 3, $Oy + $unit / 2, '$0$', $fontsize);
} else {
$svg .= DrawLine($x, $Oy - 5, $x, $Oy + 5, 'black', 2);
$svg .= DrawText($x, $Oy + $unit / 2, '$' . $num . '$', $fontsize);
}
}
for ($i = 0; $i < $linesx; $i++) {
$y = (0.5 + $i) * $unit;
$svg .= DrawLine(0, $y, $width, $y, '#F2F2F2');
$num = $top - $i + 1;
if ($num != 0) {
$svg .= DrawLine($Ox + 5, $y, $Ox - 5, $y, 'black', 2);
if ($num <= 9 && $num > 0) {
$shift = $unit / 3;
} elseif ($num > -10 || $num > 9) {
$shift = $unit / 2;
} else {
$shift = $unit / 1.7;
}
$svg .= DrawText($Ox - $shift, $y + $unit / 5, '$' . $num . '$', $fontsize);
}
}
// Axes
$svg .= DrawVector($Ox, $height, $Ox, 0, 'black', 10, 2);
$svg .= DrawVector(0, $Oy, $width, $Oy, 'black', 10, 2);
$svg .= DrawText($width - $unit / 2, $Oy - $unit / 3, '$x$', $fontsize * 1.5);
$svg .= DrawText($Ox + $unit / 2, $unit / 3, '$y$', $fontsize * 1.5);
if ($progress == 0) {
if ($Cy != 0) {
$svg .= DrawPath($Ox, $C3y, $C3x, $C3y, $color1 = 'red', $width = 2, $color2 = 'none', $dasharray2asharray1 = 5, $dasharray2 = 5);
}
if ($Cx != 0) {
$svg .= DrawPath($C3x, $C3y, $C3x, $Oy, $color1 = 'red', $width = 2, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
// Draw point K
$svg .= DrawCircle($C3x, $C3y, 3, 'red', 1, 'red');
$svg .= DrawText($C4x, $C4y, '$K$', 15);
} elseif ($progress == 1) {
if ($Ty != 0) {
$svg .= DrawPath($Ox, $T3y, $T3x, $T3y, $color1 = 'red', $width = 2, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
if ($Tx != 0) {
$svg .= DrawPath($T3x, $T3y, $T3x, $Oy, $color1 = 'red', $width = 2, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
// Draw point T
$svg .= DrawCircle($T3x, $T3y, 3, 'red', 1, 'red');
$svg .= DrawText($T4x, $T4y, '$T$', 15);
// Draw point K
$svg .= DrawCircle($C3x, $C3y, 3, 'blue', 1, 'blue');
$svg .= DrawText($C4x, $C4y, '$K$', 15);
} elseif ($progress == 2) {
$svg .= DrawVector($C3x, $C3y, $T3x, $T3y, 'blue', 7, 2, 30);
$svg .= DrawVector($C3x, $C3y, $R3x, $R3y, 'red', 7, 2, 30);
// Draw point R
$svg .= DrawText($R4x, $R4y, '$R$', 15);
// Draw point K
$svg .= DrawText($C4x, $C4y, '$K$', 15);
// Draw point T
$svg .= DrawText($T4x, $T4y, '$T$', 15);
} elseif ($progress == 3) {
$svg .= DrawVector($C3x, $C3y, $T3x, $T3y, 'blue', 7, 2, 30);
$svg .= DrawVector($C3x, $C3y, $R3x, $R3y, 'blue', 7, 2, 30);
$svg .= DrawVector($C3x, $C3y, $P3x, $P3y, 'red', 7, 2, 30);
$svg .= DrawVector($C3x, $C3y, $S3x, $S3y, 'red', 7, 2, 30);
// Draw point K
$svg .= DrawText($C4x, $C4y, '$K$', 15);
// Draw point T
$svg .= DrawText($T4x, $T4y, '$T$', 15);
// Draw point R
$svg .= DrawText($R4x, $R4y, '$R$', 15);
// Draw point S
$svg .= DrawText($S4x, $S4y, '$S$', 15);
// Draw point P
$svg .= DrawText($P4x, $P4y, '$P$', 15);
} else {
$svg .= DrawLine($P3x, $P3y, $T3x, $T3y, 'red', 2);
$svg .= DrawLine($S3x, $S3y, $R3x, $R3y, 'red', 2);
$svg .= DrawLine($T3x, $T3y, $S3x, $S3y, 'red', 2);
$svg .= DrawLine($R3x, $R3y, $P3x, $P3y, 'red', 2);
if ($Py != $Ry && $Py != $Ty && $Py != 0) {
$svg .= DrawPath($Ox, $P3y, $P3x, $P3y, $color1 = 'blue', $width = 2, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
if ($Px != $Rx && $Px != $Tx && $Px != 0) {
$svg .= DrawPath($P3x, $P3y, $P3x, $Oy, $color1 = 'blue', $width = 2, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
if ($Ry != $Py && $Ry != $Sy && $Ry != 0) {
$svg .= DrawPath($Ox, $R3y, $R3x, $R3y, $color1 = 'blue', $width = 2, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
if ($Rx != $Px && $Rx != $Sx && $Rx != 0) {
$svg .= DrawPath($R3x, $R3y, $R3x, $Oy, $color1 = 'blue', $width = 2, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
if ($Sy != $Ry && $Sy != $Ty && $Sy != 0) {
$svg .= DrawPath($Ox, $S3y, $S3x, $S3y, $color1 = 'blue', $width = 2, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
if ($Sx != $Rx && $Sx != $Tx && $Sx != 0) {
$svg .= DrawPath($S3x, $S3y, $S3x, $Oy, $color1 = 'blue', $width = 2, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
if ($Ty != $Py && $Ty != $Sy && $Ty != 0) {
$svg .= DrawPath($Ox, $T3y, $T3x, $T3y, $color1 = 'blue', $width = 2, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
if ($Tx != $Px && $Tx != $Sx && $Tx != 0) {
$svg .= DrawPath($T3x, $T3y, $T3x, $Oy, $color1 = 'blue', $width = 2, $color2 = 'none', $dasharray1 = 5, $dasharray2 = 5);
}
// Draw point T
$svg .= DrawText($T4x, $T4y, '$T$', 15);
// Draw point R
$svg .= DrawText($R4x, $R4y, '$R$', 15);
// Draw point S
$svg .= DrawText($S4x, $S4y, '$S$', 15);
// Draw point P
$svg .= DrawText($P4x, $P4y, '$P$', 15);
}
$svg .= '</svg></div>';
return $svg;
}
function Graph($A, $B, $axis, $progress = 0)
{
list($C, $r, $P1, $P2) = $this->Solution($A, $B, $axis);
$bottom = min(0, $C[1] - $r);
$top = max(0, $C[1] + $r);
$left = min(0, $C[0] - $r);
$right = max(0, $C[0] + $r);
// print_r('bottom: '.$bottom.'<br />');
// print_r('top: '.$top.'<br />');
// print_r('left: '.$left.'<br />');
// print_r('right: '.$right.'<br />');
$linesx = $top - $bottom + 3;
$linesy = $right - $left + 3;
$unit = 500 / $linesy;
$width = $unit * $linesy;
$height = $unit * $linesx;
// print_r('width: '.$width.', height: '.$height.'<br />');
$svg = '<div class="img-question text-center">
<svg width="' . $width . '" height="' . $height . '">';
// Origo
$OO = $this->CanvasCoordinates([0, 0], $height, $left, $bottom, $unit);
if ($unit < 35) {
$fontsize_axis = 0;
// Hide text if coordinate system is too big
$axis_width = 1;
} elseif ($unit < 45) {
$fontsize_axis = 10;
$axis_width = 2;
} elseif ($unit < 50) {
$fontsize_axis = 11;
$axis_width = 2;
} else {
$fontsize_axis = 12;
$axis_width = 2;
}
$fontsize_label = round($fontsize_axis * 1.2);
// Guides
for ($i = 0; $i < $linesy; $i++) {
$x = (0.5 + $i) * $unit;
$svg .= DrawLine($x, 0, $x, $height, '#F2F2F2');
$num = $i + $left - 1;
if ($num == 0) {
$svg .= DrawText($OO[0] + $unit / 3, $OO[1] + $unit / 2, '$0$', $fontsize_axis);
} else {
$svg .= DrawLine($x, $OO[1] - 5, $x, $OO[1] + 5, 'black', $axis_width);
$svg .= DrawText($x, $OO[1] + $unit / 2, '$' . $num . '$', $fontsize_axis);
}
}
for ($i = 0; $i < $linesx; $i++) {
$y = (0.5 + $i) * $unit;
$svg .= DrawLine(0, $y, $width, $y, '#F2F2F2');
$num = $top - $i + 1;
if ($num != 0) {
$svg .= DrawLine($OO[0] + 5, $y, $OO[0] - 5, $y, 'black', $axis_width);
if ($num <= 9 && $num > 0) {
$shift = $unit / 3;
} elseif ($num > -10 || $num > 9) {
$shift = $unit / 2;
} else {
$shift = $unit / 1.7;
}
$svg .= DrawText($OO[0] - $shift, $y + $unit / 5, '$' . $num . '$', $fontsize_axis);
}
}
// Axes
$svg .= DrawVector($OO[0], $height, $OO[0], 0, 'black', 10, $axis_width);
$svg .= DrawVector(0, $OO[1], $width, $OO[1], 'black', 10, $axis_width);
$svg .= DrawText($width - $unit / 2, $OO[1] - $unit / 3, '$x$', $fontsize_label);
$svg .= DrawText($OO[0] + $unit / 2, $unit / 3, '$y$', $fontsize_label);
// Calculate canvas coordinates for nodes
$CC = $this->CanvasCoordinates($C, $height, $left, $bottom, $unit);
$AA = $this->CanvasCoordinates($A, $height, $left, $bottom, $unit);
$BB = $this->CanvasCoordinates($B, $height, $left, $bottom, $unit);
$PP1 = $this->CanvasCoordinates($P1, $height, $left, $bottom, $unit);
$PP2 = $this->CanvasCoordinates($P2, $height, $left, $bottom, $unit);
// print_r('C('.$CC[0].';'.$CC[1].')<br />');
// print_r('A('.$AA[0].';'.$AA[1].')<br />');
// print_r('B('.$BB[0].';'.$BB[1].')<br />');
// Calculate coordinates (labels)
$Clabel = $this->LabelCoordinates($A, $B, 'center');
$Alabel = $this->LabelCoordinates($B, $A);
$Blabel = $this->LabelCoordinates($A, $B);
$P1label = $this->LabelCoordinates($C, $P1, 'minus');
$P2label = $this->LabelCoordinates($C, $P2, 'minus');
// Calculate canvas coordinates for labels
$CClabel = $this->CanvasCoordinates($Clabel, $height, $left, $bottom, $unit);
$AAlabel = $this->CanvasCoordinates($Alabel, $height, $left, $bottom, $unit);
$BBlabel = $this->CanvasCoordinates($Blabel, $height, $left, $bottom, $unit);
$PP1label = $this->CanvasCoordinates($P1label, $height, $left, $bottom, $unit);
$PP2label = $this->CanvasCoordinates($P2label, $height, $left, $bottom, $unit);
if ($progress == 1) {
// Draw points
$svg .= DrawCircle($AA[0], $AA[1], 3, 'red', 1, 'red');
$svg .= DrawCircle($BB[0], $BB[1], 3, 'red', 1, 'red');
// Draw labels
$svg .= DrawText($AAlabel[0], $AAlabel[1], '$A$', $fontsize_label);
$svg .= DrawText($BBlabel[0], $BBlabel[1], '$B$', $fontsize_label);
} elseif ($progress == 2) {
// AB
$svg .= DrawLine($AA[0], $AA[1], $BB[0], $BB[1], 'blue', 2);
// Draw points
$svg .= DrawCircle($AA[0], $AA[1], 3, 'red', 1, 'red');
$svg .= DrawCircle($BB[0], $BB[1], 3, 'red', 1, 'red');
$svg .= DrawCircle($CC[0], $CC[1], 3, 'red', 1, 'red');
// Draw labels
$svg .= DrawText($AAlabel[0], $AAlabel[1], '$A$', $fontsize_label);
$svg .= DrawText($BBlabel[0], $BBlabel[1], '$B$', $fontsize_label);
$svg .= DrawText($CClabel[0], $CClabel[1], '$C$', $fontsize_label);
} elseif ($progress == 3) {
// Circle
$svg .= DrawCircle($CC[0], $CC[1], $r * $unit, 'blue', 2);
// Draw points
$svg .= DrawCircle($AA[0], $AA[1], 3, 'red', 1, 'red');
$svg .= DrawCircle($BB[0], $BB[1], 3, 'red', 1, 'red');
$svg .= DrawCircle($CC[0], $CC[1], 3, 'red', 1, 'red');
// Draw labels
$svg .= DrawText($AAlabel[0], $AAlabel[1], '$A$', $fontsize_label);
$svg .= DrawText($BBlabel[0], $BBlabel[1], '$B$', $fontsize_label);
$svg .= DrawText($CClabel[0], $CClabel[1], '$C$', $fontsize_label);
} elseif ($progress == 4) {
// Axes
if ($axis == 'x') {
$svg .= DrawLine(0, $OO[1], $width, $OO[1], 'limegreen', 2);
} else {
$svg .= DrawLine($OO[0], $height, $OO[0], 0, 'limegreen', 2);
}
// Circle
$svg .= DrawCircle($CC[0], $CC[1], $r * $unit, 'blue', 2);
// Draw points
$svg .= DrawCircle($PP1[0], $PP1[1], 3, 'red', 1, 'red');
$svg .= DrawCircle($PP2[0], $PP2[1], 3, 'red', 1, 'red');
// Draw labels
$svg .= DrawText($PP1label[0], $PP1label[1], '$P_1$', $fontsize_label);
$svg .= DrawText($PP2label[0], $PP2label[1], '$P_2$', $fontsize_label);
}
$svg .= '</svg></div>';
return $svg;
}
