Instruction stringlengths 45 106 | input_code stringlengths 1 13.7k | output_code stringlengths 1 13.7k |
|---|---|---|
Can you help me rewrite this code in PHP instead of Fortran, keeping it the same logically? | program VectorProducts
real, dimension(3) :: a, b, c
a = (/ 3, 4, 5 /)
b = (/ 4, 3, 5 /)
c = (/ -5, -12, -13 /)
print *, dot_product(a, b)
print *, cross_product(a, b)
print *, s3_product(a, b, c)
print *, v3_product(a, b, c)
contains
function cross_product(a, b)
real, dimension(3) :: cross_product
real, dimension(3), intent(in) :: a, b
cross_product(1) = a(2)*b(3) - a(3)*b(2)
cross_product(2) = a(3)*b(1) - a(1)*b(3)
cross_product(3) = a(1)*b(2) - b(1)*a(2)
end function cross_product
function s3_product(a, b, c)
real :: s3_product
real, dimension(3), intent(in) :: a, b, c
s3_product = dot_product(a, cross_product(b, c))
end function s3_product
function v3_product(a, b, c)
real, dimension(3) :: v3_product
real, dimension(3), intent(in) :: a, b, c
v3_product = cross_product(a, cross_product(b, c))
end function v3_product
end program VectorProducts
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Convert this Groovy block to PHP, preserving its control flow and logic. | def pairwiseOperation = { x, y, Closure binaryOp ->
assert x && y && x.size() == y.size()
[x, y].transpose().collect(binaryOp)
}
def pwMult = pairwiseOperation.rcurry { it[0] * it[1] }
def dotProduct = { x, y ->
assert x && y && x.size() == y.size()
pwMult(x, y).sum()
}
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Change the programming language of this snippet from Groovy to PHP without modifying what it does. | def pairwiseOperation = { x, y, Closure binaryOp ->
assert x && y && x.size() == y.size()
[x, y].transpose().collect(binaryOp)
}
def pwMult = pairwiseOperation.rcurry { it[0] * it[1] }
def dotProduct = { x, y ->
assert x && y && x.size() == y.size()
pwMult(x, y).sum()
}
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Write the same algorithm in PHP as shown in this Haskell implementation. | import Data.Monoid ((<>))
type Vector a = [a]
type Scalar a = a
a, b, c, d :: Vector Int
a = [3, 4, 5]
b = [4, 3, 5]
c = [-5, -12, -13]
d = [3, 4, 5, 6]
dot
:: (Num t)
=> Vector t -> Vector t -> Scalar t
dot u v
| length u == length v = sum $ zipWith (*) u v
| otherwise = error "Dotted Vectors must be of equal dimension."
cross
:: (Num t)
=> Vector t -> Vector t -> Vector t
cross u v
| length u == 3 && length v == 3 =
[ u !! 1 * v !! 2 - u !! 2 * v !! 1
, u !! 2 * head v - head u * v !! 2
, head u * v !! 1 - u !! 1 * head v
]
| otherwise = error "Crossed Vectors must both be three dimensional."
scalarTriple
:: (Num t)
=> Vector t -> Vector t -> Vector t -> Scalar t
scalarTriple q r s = dot q $ cross r s
vectorTriple
:: (Num t)
=> Vector t -> Vector t -> Vector t -> Vector t
vectorTriple q r s = cross q $ cross r s
main :: IO ()
main =
mapM_
putStrLn
[ "a . b = " <> show (dot a b)
, "a x b = " <> show (cross a b)
, "a . b x c = " <> show (scalarTriple a b c)
, "a x b x c = " <> show (vectorTriple a b c)
, "a . d = " <> show (dot a d)
]
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Transform the following Haskell implementation into PHP, maintaining the same output and logic. | import Data.Monoid ((<>))
type Vector a = [a]
type Scalar a = a
a, b, c, d :: Vector Int
a = [3, 4, 5]
b = [4, 3, 5]
c = [-5, -12, -13]
d = [3, 4, 5, 6]
dot
:: (Num t)
=> Vector t -> Vector t -> Scalar t
dot u v
| length u == length v = sum $ zipWith (*) u v
| otherwise = error "Dotted Vectors must be of equal dimension."
cross
:: (Num t)
=> Vector t -> Vector t -> Vector t
cross u v
| length u == 3 && length v == 3 =
[ u !! 1 * v !! 2 - u !! 2 * v !! 1
, u !! 2 * head v - head u * v !! 2
, head u * v !! 1 - u !! 1 * head v
]
| otherwise = error "Crossed Vectors must both be three dimensional."
scalarTriple
:: (Num t)
=> Vector t -> Vector t -> Vector t -> Scalar t
scalarTriple q r s = dot q $ cross r s
vectorTriple
:: (Num t)
=> Vector t -> Vector t -> Vector t -> Vector t
vectorTriple q r s = cross q $ cross r s
main :: IO ()
main =
mapM_
putStrLn
[ "a . b = " <> show (dot a b)
, "a x b = " <> show (cross a b)
, "a . b x c = " <> show (scalarTriple a b c)
, "a x b x c = " <> show (vectorTriple a b c)
, "a . d = " <> show (dot a d)
]
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Produce a functionally identical PHP code for the snippet given in Icon. |
record Vector3D(x, y, z)
procedure toString (vector)
return "(" || vector.x || ", " || vector.y || ", " || vector.z || ")"
end
procedure dotProduct (a, b)
return a.x * b.x + a.y * b.y + a.z * b.z
end
procedure crossProduct (a, b)
x := a.y * b.z - a.z * b.y
y := a.z * b.x - a.x * b.z
z := a.x * b.y - a.y * b.x
return Vector3D(x, y, z)
end
procedure scalarTriple (a, b, c)
return dotProduct (a, crossProduct (b, c))
end
procedure vectorTriple (a, b, c)
return crossProduct (a, crossProduct (b, c))
end
procedure main ()
a := Vector3D(3, 4, 5)
b := Vector3D(4, 3, 5)
c := Vector3D(-5, -12, -13)
writes ("A.B : " || toString(a) || "." || toString(b) || " = ")
write (dotProduct (a, b))
writes ("AxB : " || toString(a) || "x" || toString(b) || " = ")
write (toString(crossProduct (a, b)))
writes ("A.(BxC) : " || toString(a) || ".(" || toString(b) || "x" || toString(c) || ") = ")
write (scalarTriple (a, b, c))
writes ("Ax(BxC) : " || toString(a) || "x(" || toString(b) || "x" || toString(c) || ") = ")
write (toString(vectorTriple (a, b, c)))
end
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Write the same algorithm in PHP as shown in this Icon implementation. |
record Vector3D(x, y, z)
procedure toString (vector)
return "(" || vector.x || ", " || vector.y || ", " || vector.z || ")"
end
procedure dotProduct (a, b)
return a.x * b.x + a.y * b.y + a.z * b.z
end
procedure crossProduct (a, b)
x := a.y * b.z - a.z * b.y
y := a.z * b.x - a.x * b.z
z := a.x * b.y - a.y * b.x
return Vector3D(x, y, z)
end
procedure scalarTriple (a, b, c)
return dotProduct (a, crossProduct (b, c))
end
procedure vectorTriple (a, b, c)
return crossProduct (a, crossProduct (b, c))
end
procedure main ()
a := Vector3D(3, 4, 5)
b := Vector3D(4, 3, 5)
c := Vector3D(-5, -12, -13)
writes ("A.B : " || toString(a) || "." || toString(b) || " = ")
write (dotProduct (a, b))
writes ("AxB : " || toString(a) || "x" || toString(b) || " = ")
write (toString(crossProduct (a, b)))
writes ("A.(BxC) : " || toString(a) || ".(" || toString(b) || "x" || toString(c) || ") = ")
write (scalarTriple (a, b, c))
writes ("Ax(BxC) : " || toString(a) || "x(" || toString(b) || "x" || toString(c) || ") = ")
write (toString(vectorTriple (a, b, c)))
end
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Change the following J code into PHP without altering its purpose. | cross=: (1&|.@[ * 2&|.@]) - 2&|.@[ * 1&|.@]
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Write a version of this J function in PHP with identical behavior. | cross=: (1&|.@[ * 2&|.@]) - 2&|.@[ * 1&|.@]
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Please provide an equivalent version of this Julia code in PHP. | using LinearAlgebra
const a = [3, 4, 5]
const b = [4, 3, 5]
const c = [-5, -12, -13]
println("Test Vectors:")
@show a b c
println("\nVector Products:")
@show a ⋅ b
@show a × b
@show a ⋅ (b × c)
@show a × (b × c)
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Keep all operations the same but rewrite the snippet in PHP. | using LinearAlgebra
const a = [3, 4, 5]
const b = [4, 3, 5]
const c = [-5, -12, -13]
println("Test Vectors:")
@show a b c
println("\nVector Products:")
@show a ⋅ b
@show a × b
@show a ⋅ (b × c)
@show a × (b × c)
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Transform the following Lua implementation into PHP, maintaining the same output and logic. | Vector = {}
function Vector.new( _x, _y, _z )
return { x=_x, y=_y, z=_z }
end
function Vector.dot( A, B )
return A.x*B.x + A.y*B.y + A.z*B.z
end
function Vector.cross( A, B )
return { x = A.y*B.z - A.z*B.y,
y = A.z*B.x - A.x*B.z,
z = A.x*B.y - A.y*B.x }
end
function Vector.scalar_triple( A, B, C )
return Vector.dot( A, Vector.cross( B, C ) )
end
function Vector.vector_triple( A, B, C )
return Vector.cross( A, Vector.cross( B, C ) )
end
A = Vector.new( 3, 4, 5 )
B = Vector.new( 4, 3, 5 )
C = Vector.new( -5, -12, -13 )
print( Vector.dot( A, B ) )
r = Vector.cross(A, B )
print( r.x, r.y, r.z )
print( Vector.scalar_triple( A, B, C ) )
r = Vector.vector_triple( A, B, C )
print( r.x, r.y, r.z )
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Translate the given Lua code snippet into PHP without altering its behavior. | Vector = {}
function Vector.new( _x, _y, _z )
return { x=_x, y=_y, z=_z }
end
function Vector.dot( A, B )
return A.x*B.x + A.y*B.y + A.z*B.z
end
function Vector.cross( A, B )
return { x = A.y*B.z - A.z*B.y,
y = A.z*B.x - A.x*B.z,
z = A.x*B.y - A.y*B.x }
end
function Vector.scalar_triple( A, B, C )
return Vector.dot( A, Vector.cross( B, C ) )
end
function Vector.vector_triple( A, B, C )
return Vector.cross( A, Vector.cross( B, C ) )
end
A = Vector.new( 3, 4, 5 )
B = Vector.new( 4, 3, 5 )
C = Vector.new( -5, -12, -13 )
print( Vector.dot( A, B ) )
r = Vector.cross(A, B )
print( r.x, r.y, r.z )
print( Vector.scalar_triple( A, B, C ) )
r = Vector.vector_triple( A, B, C )
print( r.x, r.y, r.z )
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Produce a language-to-language conversion: from Mathematica to PHP, same semantics. | a={3,4,5};
b={4,3,5};
c={-5,-12,-13};
a.b
Cross[a,b]
a.Cross[b,c]
Cross[a,Cross[b,c]]
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Can you help me rewrite this code in PHP instead of Mathematica, keeping it the same logically? | a={3,4,5};
b={4,3,5};
c={-5,-12,-13};
a.b
Cross[a,b]
a.Cross[b,c]
Cross[a,Cross[b,c]]
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Rewrite this program in PHP while keeping its functionality equivalent to the MATLAB version. |
dot(a,b)
cross(a,b)
dot(a,cross(b,c))
cross(a,cross(b,c))
cross(a,b)
cross(a,b)
dot(a,cross(b,c))
cross(a,cross(b,c))
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Translate the given MATLAB code snippet into PHP without altering its behavior. |
dot(a,b)
cross(a,b)
dot(a,cross(b,c))
cross(a,cross(b,c))
cross(a,b)
cross(a,b)
dot(a,cross(b,c))
cross(a,cross(b,c))
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Convert this Nim snippet to PHP and keep its semantics consistent. | import strformat, strutils
type Vector3 = array[1..3, float]
proc `$`(a: Vector3): string =
result = "("
for x in a:
result.addSep(", ", 1)
result.add &"{x}"
result.add ')'
proc cross(a, b: Vector3): Vector3 =
result = [a[2]*b[3] - a[3]*b[2], a[3]*b[1] - a[1]*b[3], a[1]*b[2] - a[2]*b[1]]
proc dot(a, b: Vector3): float =
for i in a.low..a.high:
result += a[i] * b[i]
proc scalarTriple(a, b, c: Vector3): float = a.dot(b.cross(c))
proc vectorTriple(a, b, c: Vector3): Vector3 = a.cross(b.cross(c))
let
a = [3.0, 4.0, 5.0]
b = [4.0, 3.0, 5.0]
c = [-5.0, -12.0, -13.0]
echo &"a ⨯ b = {a.cross(b)}"
echo &"a . b = {a.dot(b)}"
echo &"a . (b ⨯ c) = {scalarTriple(a, b, c)}"
echo &"a ⨯ (b ⨯ c) = {vectorTriple(a, b, c)}"
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Produce a language-to-language conversion: from Nim to PHP, same semantics. | import strformat, strutils
type Vector3 = array[1..3, float]
proc `$`(a: Vector3): string =
result = "("
for x in a:
result.addSep(", ", 1)
result.add &"{x}"
result.add ')'
proc cross(a, b: Vector3): Vector3 =
result = [a[2]*b[3] - a[3]*b[2], a[3]*b[1] - a[1]*b[3], a[1]*b[2] - a[2]*b[1]]
proc dot(a, b: Vector3): float =
for i in a.low..a.high:
result += a[i] * b[i]
proc scalarTriple(a, b, c: Vector3): float = a.dot(b.cross(c))
proc vectorTriple(a, b, c: Vector3): Vector3 = a.cross(b.cross(c))
let
a = [3.0, 4.0, 5.0]
b = [4.0, 3.0, 5.0]
c = [-5.0, -12.0, -13.0]
echo &"a ⨯ b = {a.cross(b)}"
echo &"a . b = {a.dot(b)}"
echo &"a . (b ⨯ c) = {scalarTriple(a, b, c)}"
echo &"a ⨯ (b ⨯ c) = {vectorTriple(a, b, c)}"
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Maintain the same structure and functionality when rewriting this code in PHP. | let a = (3.0, 4.0, 5.0)
let b = (4.0, 3.0, 5.0)
let c = (-5.0, -12.0, -13.0)
let string_of_vector (x,y,z) =
Printf.sprintf "(%g, %g, %g)" x y z
let dot (a1, a2, a3) (b1, b2, b3) =
(a1 *. b1) +. (a2 *. b2) +. (a3 *. b3)
let cross (a1, a2, a3) (b1, b2, b3) =
(a2 *. b3 -. a3 *. b2,
a3 *. b1 -. a1 *. b3,
a1 *. b2 -. a2 *. b1)
let scalar_triple a b c =
dot a (cross b c)
let vector_triple a b c =
cross a (cross b c)
let () =
Printf.printf "a: %s\n" (string_of_vector a);
Printf.printf "b: %s\n" (string_of_vector b);
Printf.printf "c: %s\n" (string_of_vector c);
Printf.printf "a . b = %g\n" (dot a b);
Printf.printf "a x b = %s\n" (string_of_vector (cross a b));
Printf.printf "a . (b x c) = %g\n" (scalar_triple a b c);
Printf.printf "a x (b x c) = %s\n" (string_of_vector (vector_triple a b c));
;;
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Please provide an equivalent version of this OCaml code in PHP. | let a = (3.0, 4.0, 5.0)
let b = (4.0, 3.0, 5.0)
let c = (-5.0, -12.0, -13.0)
let string_of_vector (x,y,z) =
Printf.sprintf "(%g, %g, %g)" x y z
let dot (a1, a2, a3) (b1, b2, b3) =
(a1 *. b1) +. (a2 *. b2) +. (a3 *. b3)
let cross (a1, a2, a3) (b1, b2, b3) =
(a2 *. b3 -. a3 *. b2,
a3 *. b1 -. a1 *. b3,
a1 *. b2 -. a2 *. b1)
let scalar_triple a b c =
dot a (cross b c)
let vector_triple a b c =
cross a (cross b c)
let () =
Printf.printf "a: %s\n" (string_of_vector a);
Printf.printf "b: %s\n" (string_of_vector b);
Printf.printf "c: %s\n" (string_of_vector c);
Printf.printf "a . b = %g\n" (dot a b);
Printf.printf "a x b = %s\n" (string_of_vector (cross a b));
Printf.printf "a . (b x c) = %g\n" (scalar_triple a b c);
Printf.printf "a x (b x c) = %s\n" (string_of_vector (vector_triple a b c));
;;
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Ensure the translated PHP code behaves exactly like the original Pascal snippet. | Program VectorProduct (output);
type
Tvector = record
x, y, z: double
end;
function dotProduct(a, b: Tvector): double;
begin
dotProduct := a.x*b.x + a.y*b.y + a.z*b.z;
end;
function crossProduct(a, b: Tvector): Tvector;
begin
crossProduct.x := a.y*b.z - a.z*b.y;
crossProduct.y := a.z*b.x - a.x*b.z;
crossProduct.z := a.x*b.y - a.y*b.x;
end;
function scalarTripleProduct(a, b, c: Tvector): double;
begin
scalarTripleProduct := dotProduct(a, crossProduct(b, c));
end;
function vectorTripleProduct(a, b, c: Tvector): Tvector;
begin
vectorTripleProduct := crossProduct(a, crossProduct(b, c));
end;
procedure printVector(a: Tvector);
begin
writeln(a.x:15:8, a.y:15:8, a.z:15:8);
end;
var
a: Tvector = (x: 3; y: 4; z: 5);
b: Tvector = (x: 4; y: 3; z: 5);
c: Tvector = (x:-5; y:-12; z:-13);
begin
write('a: '); printVector(a);
write('b: '); printVector(b);
write('c: '); printVector(c);
writeln('a . b: ', dotProduct(a,b):15:8);
write('a x b: '); printVector(crossProduct(a,b));
writeln('a . (b x c): ', scalarTripleProduct(a,b,c):15:8);
write('a x (b x c): '); printVector(vectorTripleProduct(a,b,c));
end.
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Ensure the translated PHP code behaves exactly like the original Pascal snippet. | Program VectorProduct (output);
type
Tvector = record
x, y, z: double
end;
function dotProduct(a, b: Tvector): double;
begin
dotProduct := a.x*b.x + a.y*b.y + a.z*b.z;
end;
function crossProduct(a, b: Tvector): Tvector;
begin
crossProduct.x := a.y*b.z - a.z*b.y;
crossProduct.y := a.z*b.x - a.x*b.z;
crossProduct.z := a.x*b.y - a.y*b.x;
end;
function scalarTripleProduct(a, b, c: Tvector): double;
begin
scalarTripleProduct := dotProduct(a, crossProduct(b, c));
end;
function vectorTripleProduct(a, b, c: Tvector): Tvector;
begin
vectorTripleProduct := crossProduct(a, crossProduct(b, c));
end;
procedure printVector(a: Tvector);
begin
writeln(a.x:15:8, a.y:15:8, a.z:15:8);
end;
var
a: Tvector = (x: 3; y: 4; z: 5);
b: Tvector = (x: 4; y: 3; z: 5);
c: Tvector = (x:-5; y:-12; z:-13);
begin
write('a: '); printVector(a);
write('b: '); printVector(b);
write('c: '); printVector(c);
writeln('a . b: ', dotProduct(a,b):15:8);
write('a x b: '); printVector(crossProduct(a,b));
writeln('a . (b x c): ', scalarTripleProduct(a,b,c):15:8);
write('a x (b x c): '); printVector(vectorTripleProduct(a,b,c));
end.
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Ensure the translated PHP code behaves exactly like the original Perl snippet. | package Vector;
use List::Util 'sum';
use List::MoreUtils 'pairwise';
sub new { shift; bless [@_] }
use overload (
'""' => sub { "(@{+shift})" },
'&' => sub { sum pairwise { $a * $b } @{+shift}, @{+shift} },
'^' => sub {
my @a = @{+shift};
my @b = @{+shift};
bless [ $a[1]*$b[2] - $a[2]*$b[1],
$a[2]*$b[0] - $a[0]*$b[2],
$a[0]*$b[1] - $a[1]*$b[0] ]
},
);
package main;
my $a = Vector->new(3, 4, 5);
my $b = Vector->new(4, 3, 5);
my $c = Vector->new(-5, -12, -13);
print "a = $a b = $b c = $c\n";
print "$a . $b = ", $a & $b, "\n";
print "$a x $b = ", $a ^ $b, "\n";
print "$a . ($b x $c) = ", $a & ($b ^ $c), "\n";
print "$a x ($b x $c) = ", $a ^ ($b ^ $c), "\n";
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Keep all operations the same but rewrite the snippet in PHP. | package Vector;
use List::Util 'sum';
use List::MoreUtils 'pairwise';
sub new { shift; bless [@_] }
use overload (
'""' => sub { "(@{+shift})" },
'&' => sub { sum pairwise { $a * $b } @{+shift}, @{+shift} },
'^' => sub {
my @a = @{+shift};
my @b = @{+shift};
bless [ $a[1]*$b[2] - $a[2]*$b[1],
$a[2]*$b[0] - $a[0]*$b[2],
$a[0]*$b[1] - $a[1]*$b[0] ]
},
);
package main;
my $a = Vector->new(3, 4, 5);
my $b = Vector->new(4, 3, 5);
my $c = Vector->new(-5, -12, -13);
print "a = $a b = $b c = $c\n";
print "$a . $b = ", $a & $b, "\n";
print "$a x $b = ", $a ^ $b, "\n";
print "$a . ($b x $c) = ", $a & ($b ^ $c), "\n";
print "$a x ($b x $c) = ", $a ^ ($b ^ $c), "\n";
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Generate a PHP translation of this PowerShell snippet without changing its computational steps. | function dot-product($a,$b) {
$a[0]*$b[0] + $a[1]*$b[1] + $a[2]*$b[2]
}
function cross-product($a,$b) {
$v1 = $a[1]*$b[2] - $a[2]*$b[1]
$v2 = $a[2]*$b[0] - $a[0]*$b[2]
$v3 = $a[0]*$b[1] - $a[1]*$b[0]
@($v1,$v2,$v3)
}
function scalar-triple-product($a,$b,$c) {
dot-product $a (cross-product $b $c)
}
function vector-triple-product($a,$b) {
cross-product $a (cross-product $b $c)
}
$a = @(3, 4, 5)
$b = @(4, 3, 5)
$c = @(-5, -12, -13)
"a.b = $(dot-product $a $b)"
"axb = $(cross-product $a $b)"
"a.(bxc) = $(scalar-triple-product $a $b $c)"
"ax(bxc) = $(vector-triple-product $a $b $c)"
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Generate an equivalent PHP version of this PowerShell code. | function dot-product($a,$b) {
$a[0]*$b[0] + $a[1]*$b[1] + $a[2]*$b[2]
}
function cross-product($a,$b) {
$v1 = $a[1]*$b[2] - $a[2]*$b[1]
$v2 = $a[2]*$b[0] - $a[0]*$b[2]
$v3 = $a[0]*$b[1] - $a[1]*$b[0]
@($v1,$v2,$v3)
}
function scalar-triple-product($a,$b,$c) {
dot-product $a (cross-product $b $c)
}
function vector-triple-product($a,$b) {
cross-product $a (cross-product $b $c)
}
$a = @(3, 4, 5)
$b = @(4, 3, 5)
$c = @(-5, -12, -13)
"a.b = $(dot-product $a $b)"
"axb = $(cross-product $a $b)"
"a.(bxc) = $(scalar-triple-product $a $b $c)"
"ax(bxc) = $(vector-triple-product $a $b $c)"
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Port the provided Racket code into PHP while preserving the original functionality. | #lang racket
(define (dot-product X Y)
(for/sum ([x (in-vector X)] [y (in-vector Y)]) (* x y)))
(define (cross-product X Y)
(define len (vector-length X))
(for/vector ([n len])
(define (ref V i) (vector-ref V (modulo (+ n i) len)))
(- (* (ref X 1) (ref Y 2)) (* (ref X 2) (ref Y 1)))))
(define (scalar-triple-product X Y Z)
(dot-product X (cross-product Y Z)))
(define (vector-triple-product X Y Z)
(cross-product X (cross-product Y Z)))
(define A '#(3 4 5))
(define B '#(4 3 5))
(define C '#(-5 -12 -13))
(printf "A = ~s\n" A)
(printf "B = ~s\n" B)
(printf "C = ~s\n" C)
(newline)
(printf "A . B = ~s\n" (dot-product A B))
(printf "A x B = ~s\n" (cross-product A B))
(printf "A . B x C = ~s\n" (scalar-triple-product A B C))
(printf "A x B x C = ~s\n" (vector-triple-product A B C))
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Can you help me rewrite this code in PHP instead of Racket, keeping it the same logically? | #lang racket
(define (dot-product X Y)
(for/sum ([x (in-vector X)] [y (in-vector Y)]) (* x y)))
(define (cross-product X Y)
(define len (vector-length X))
(for/vector ([n len])
(define (ref V i) (vector-ref V (modulo (+ n i) len)))
(- (* (ref X 1) (ref Y 2)) (* (ref X 2) (ref Y 1)))))
(define (scalar-triple-product X Y Z)
(dot-product X (cross-product Y Z)))
(define (vector-triple-product X Y Z)
(cross-product X (cross-product Y Z)))
(define A '#(3 4 5))
(define B '#(4 3 5))
(define C '#(-5 -12 -13))
(printf "A = ~s\n" A)
(printf "B = ~s\n" B)
(printf "C = ~s\n" C)
(newline)
(printf "A . B = ~s\n" (dot-product A B))
(printf "A x B = ~s\n" (cross-product A B))
(printf "A . B x C = ~s\n" (scalar-triple-product A B C))
(printf "A x B x C = ~s\n" (vector-triple-product A B C))
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Write the same algorithm in PHP as shown in this REXX implementation. | a = .vector~new(3, 4, 5);
b = .vector~new(4, 3, 5);
c = .vector~new(-5, -12, -13);
say a~dot(b)
say a~cross(b)
say a~scalarTriple(b, c)
say a~vectorTriple(b, c)
::class vector
::method init
expose x y z
use arg x, y, z
::attribute x get
::attribute y get
::attribute z get
-- dot product operation
::method dot
expose x y z
use strict arg other
return x * other~x + y * other~y + z * other~z
-- cross product operation
::method cross
expose x y z
use strict arg other
newX = y * other~z - z * other~y
newY = z * other~x - x * other~z
newZ = x * other~y - y * other~x
return self~class~new(newX, newY, newZ)
-- scalar triple product
::method scalarTriple
use strict arg vectorB, vectorC
return self~dot(vectorB~cross(vectorC))
-- vector triple product
::method vectorTriple
use strict arg vectorB, vectorC
return self~cross(vectorB~cross(vectorC))
::method string
expose x y z
return "<"||x", "y", "z">"
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Maintain the same structure and functionality when rewriting this code in PHP. | a = .vector~new(3, 4, 5);
b = .vector~new(4, 3, 5);
c = .vector~new(-5, -12, -13);
say a~dot(b)
say a~cross(b)
say a~scalarTriple(b, c)
say a~vectorTriple(b, c)
::class vector
::method init
expose x y z
use arg x, y, z
::attribute x get
::attribute y get
::attribute z get
-- dot product operation
::method dot
expose x y z
use strict arg other
return x * other~x + y * other~y + z * other~z
-- cross product operation
::method cross
expose x y z
use strict arg other
newX = y * other~z - z * other~y
newY = z * other~x - x * other~z
newZ = x * other~y - y * other~x
return self~class~new(newX, newY, newZ)
-- scalar triple product
::method scalarTriple
use strict arg vectorB, vectorC
return self~dot(vectorB~cross(vectorC))
-- vector triple product
::method vectorTriple
use strict arg vectorB, vectorC
return self~cross(vectorB~cross(vectorC))
::method string
expose x y z
return "<"||x", "y", "z">"
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Change the programming language of this snippet from Ruby to PHP without modifying what it does. | class Vector
property x, y, z
def initialize(@x : Int64, @y : Int64, @z : Int64) end
def dot_product(other : Vector)
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
end
def cross_product(other : Vector)
Vector.new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
end
def scalar_triple_product(b : Vector, c : Vector)
self.dot_product(b.cross_product(c))
end
def vector_triple_product(b : Vector, c : Vector)
self.cross_product(b.cross_product(c))
end
def to_s
"(
end
end
a = Vector.new(3, 4, 5)
b = Vector.new(4, 3, 5)
c = Vector.new(-5, -12, -13)
puts "a =
puts "b =
puts "c =
puts "a dot b =
puts "a cross b =
puts "a dot (b cross c) =
puts "a cross (b cross c) =
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Preserve the algorithm and functionality while converting the code from Ruby to PHP. | class Vector
property x, y, z
def initialize(@x : Int64, @y : Int64, @z : Int64) end
def dot_product(other : Vector)
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
end
def cross_product(other : Vector)
Vector.new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
end
def scalar_triple_product(b : Vector, c : Vector)
self.dot_product(b.cross_product(c))
end
def vector_triple_product(b : Vector, c : Vector)
self.cross_product(b.cross_product(c))
end
def to_s
"(
end
end
a = Vector.new(3, 4, 5)
b = Vector.new(4, 3, 5)
c = Vector.new(-5, -12, -13)
puts "a =
puts "b =
puts "c =
puts "a dot b =
puts "a cross b =
puts "a dot (b cross c) =
puts "a cross (b cross c) =
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Generate a PHP translation of this Scala snippet without changing its computational steps. |
class Vector3D(val x: Double, val y: Double, val z: Double) {
infix fun dot(v: Vector3D) = x * v.x + y * v.y + z * v.z
infix fun cross(v: Vector3D) =
Vector3D(y * v.z - z * v.y, z * v.x - x * v.z, x * v.y - y * v.x)
fun scalarTriple(v: Vector3D, w: Vector3D) = this dot (v cross w)
fun vectorTriple(v: Vector3D, w: Vector3D) = this cross (v cross w)
override fun toString() = "($x, $y, $z)"
}
fun main(args: Array<String>) {
val a = Vector3D(3.0, 4.0, 5.0)
val b = Vector3D(4.0, 3.0, 5.0)
val c = Vector3D(-5.0, -12.0, -13.0)
println("a = $a")
println("b = $b")
println("c = $c")
println()
println("a . b = ${a dot b}")
println("a x b = ${a cross b}")
println("a . b x c = ${a.scalarTriple(b, c)}")
println("a x b x c = ${a.vectorTriple(b, c)}")
}
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Ensure the translated PHP code behaves exactly like the original Scala snippet. |
class Vector3D(val x: Double, val y: Double, val z: Double) {
infix fun dot(v: Vector3D) = x * v.x + y * v.y + z * v.z
infix fun cross(v: Vector3D) =
Vector3D(y * v.z - z * v.y, z * v.x - x * v.z, x * v.y - y * v.x)
fun scalarTriple(v: Vector3D, w: Vector3D) = this dot (v cross w)
fun vectorTriple(v: Vector3D, w: Vector3D) = this cross (v cross w)
override fun toString() = "($x, $y, $z)"
}
fun main(args: Array<String>) {
val a = Vector3D(3.0, 4.0, 5.0)
val b = Vector3D(4.0, 3.0, 5.0)
val c = Vector3D(-5.0, -12.0, -13.0)
println("a = $a")
println("b = $b")
println("c = $c")
println()
println("a . b = ${a dot b}")
println("a x b = ${a cross b}")
println("a . b x c = ${a.scalarTriple(b, c)}")
println("a x b x c = ${a.vectorTriple(b, c)}")
}
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Port the following code from Swift to PHP with equivalent syntax and logic. | import Foundation
infix operator • : MultiplicationPrecedence
infix operator × : MultiplicationPrecedence
public struct Vector {
public var x = 0.0
public var y = 0.0
public var z = 0.0
public init(x: Double, y: Double, z: Double) {
(self.x, self.y, self.z) = (x, y, z)
}
public static func • (lhs: Vector, rhs: Vector) -> Double {
return lhs.x * rhs.x + lhs.y * rhs.y + lhs.z * rhs.z
}
public static func × (lhs: Vector, rhs: Vector) -> Vector {
return Vector(
x: lhs.y * rhs.z - lhs.z * rhs.y,
y: lhs.z * rhs.x - lhs.x * rhs.z,
z: lhs.x * rhs.y - lhs.y * rhs.x
)
}
}
let a = Vector(x: 3, y: 4, z: 5)
let b = Vector(x: 4, y: 3, z: 5)
let c = Vector(x: -5, y: -12, z: -13)
print("a: \(a)")
print("b: \(b)")
print("c: \(c)")
print()
print("a • b = \(a • b)")
print("a × b = \(a × b)")
print("a • (b × c) = \(a • (b × c))")
print("a × (b × c) = \(a × (b × c))")
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Convert this Swift block to PHP, preserving its control flow and logic. | import Foundation
infix operator • : MultiplicationPrecedence
infix operator × : MultiplicationPrecedence
public struct Vector {
public var x = 0.0
public var y = 0.0
public var z = 0.0
public init(x: Double, y: Double, z: Double) {
(self.x, self.y, self.z) = (x, y, z)
}
public static func • (lhs: Vector, rhs: Vector) -> Double {
return lhs.x * rhs.x + lhs.y * rhs.y + lhs.z * rhs.z
}
public static func × (lhs: Vector, rhs: Vector) -> Vector {
return Vector(
x: lhs.y * rhs.z - lhs.z * rhs.y,
y: lhs.z * rhs.x - lhs.x * rhs.z,
z: lhs.x * rhs.y - lhs.y * rhs.x
)
}
}
let a = Vector(x: 3, y: 4, z: 5)
let b = Vector(x: 4, y: 3, z: 5)
let c = Vector(x: -5, y: -12, z: -13)
print("a: \(a)")
print("b: \(b)")
print("c: \(c)")
print()
print("a • b = \(a • b)")
print("a × b = \(a × b)")
print("a • (b × c) = \(a • (b × c))")
print("a × (b × c) = \(a × (b × c))")
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Ensure the translated PHP code behaves exactly like the original Tcl snippet. | proc dot {A B} {
lassign $A a1 a2 a3
lassign $B b1 b2 b3
expr {$a1*$b1 + $a2*$b2 + $a3*$b3}
}
proc cross {A B} {
lassign $A a1 a2 a3
lassign $B b1 b2 b3
list [expr {$a2*$b3 - $a3*$b2}] \
[expr {$a3*$b1 - $a1*$b3}] \
[expr {$a1*$b2 - $a2*$b1}]
}
proc scalarTriple {A B C} {
dot $A [cross $B $C]
}
proc vectorTriple {A B C} {
cross $A [cross $B $C]
}
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Rewrite the snippet below in PHP so it works the same as the original Tcl code. | proc dot {A B} {
lassign $A a1 a2 a3
lassign $B b1 b2 b3
expr {$a1*$b1 + $a2*$b2 + $a3*$b3}
}
proc cross {A B} {
lassign $A a1 a2 a3
lassign $B b1 b2 b3
list [expr {$a2*$b3 - $a3*$b2}] \
[expr {$a3*$b1 - $a1*$b3}] \
[expr {$a1*$b2 - $a2*$b1}]
}
proc scalarTriple {A B C} {
dot $A [cross $B $C]
}
proc vectorTriple {A B C} {
cross $A [cross $B $C]
}
| <?php
class Vector
{
private $values;
public function setValues(array $values)
{
if (count($values) != 3)
throw new Exception('Values must contain exactly 3 values');
foreach ($values as $value)
if (!is_int($value) && !is_float($value))
throw new Exception('Value "' . $value . '" has an invalid type');
$this->values = $values;
}
public function getValues()
{
if ($this->values == null)
$this->setValues(array (
0,
0,
0
));
return $this->values;
}
public function Vector(array $values)
{
$this->setValues($values);
}
public static function dotProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return ($a[0] * $b[0]) + ($a[1] * $b[1]) + ($a[2] * $b[2]);
}
public static function crossProduct(Vector $va, Vector $vb)
{
$a = $va->getValues();
$b = $vb->getValues();
return new Vector(array (
($a[1] * $b[2]) - ($a[2] * $b[1]),
($a[2] * $b[0]) - ($a[0] * $b[2]),
($a[0] * $b[1]) - ($a[1] * $b[0])
));
}
public static function scalarTripleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::dotProduct($va, self::crossProduct($vb, $vc));
}
public static function vectorTrippleProduct(Vector $va, Vector $vb, Vector $vc)
{
return self::crossProduct($va, self::crossProduct($vb, $vc));
}
}
class Program
{
public function Program()
{
$a = array (
3,
4,
5
);
$b = array (
4,
3,
5
);
$c = array (
-5,
-12,
-13
);
$va = new Vector($a);
$vb = new Vector($b);
$vc = new Vector($c);
$result1 = Vector::dotProduct($va, $vb);
$result2 = Vector::crossProduct($va, $vb)->getValues();
$result3 = Vector::scalarTripleProduct($va, $vb, $vc);
$result4 = Vector::vectorTrippleProduct($va, $vb, $vc)->getValues();
printf("\n");
printf("A = (%0.2f, %0.2f, %0.2f)\n", $a[0], $a[1], $a[2]);
printf("B = (%0.2f, %0.2f, %0.2f)\n", $b[0], $b[1], $b[2]);
printf("C = (%0.2f, %0.2f, %0.2f)\n", $c[0], $c[1], $c[2]);
printf("\n");
printf("A · B = %0.2f\n", $result1);
printf("A × B = (%0.2f, %0.2f, %0.2f)\n", $result2[0], $result2[1], $result2[2]);
printf("A · (B × C) = %0.2f\n", $result3);
printf("A × (B × C) =(%0.2f, %0.2f, %0.2f)\n", $result4[0], $result4[1], $result4[2]);
}
}
new Program();
?>
|
Produce a language-to-language conversion: from C to Rust, same semantics. | #include<stdio.h>
typedef struct{
float i,j,k;
}Vector;
Vector a = {3, 4, 5},b = {4, 3, 5},c = {-5, -12, -13};
float dotProduct(Vector a, Vector b)
{
return a.i*b.i+a.j*b.j+a.k*b.k;
}
Vector crossProduct(Vector a,Vector b)
{
Vector c = {a.j*b.k - a.k*b.j, a.k*b.i - a.i*b.k, a.i*b.j - a.j*b.i};
return c;
}
float scalarTripleProduct(Vector a,Vector b,Vector c)
{
return dotProduct(a,crossProduct(b,c));
}
Vector vectorTripleProduct(Vector a,Vector b,Vector c)
{
return crossProduct(a,crossProduct(b,c));
}
void printVector(Vector a)
{
printf("( %f, %f, %f)",a.i,a.j,a.k);
}
int main()
{
printf("\n a = "); printVector(a);
printf("\n b = "); printVector(b);
printf("\n c = "); printVector(c);
printf("\n a . b = %f",dotProduct(a,b));
printf("\n a x b = "); printVector(crossProduct(a,b));
printf("\n a . (b x c) = %f",scalarTripleProduct(a,b,c));
printf("\n a x (b x c) = "); printVector(vectorTripleProduct(a,b,c));
return 0;
}
| #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
|
Write the same code in Rust as shown below in C++. | #include <iostream>
template< class T >
class D3Vector {
template< class U >
friend std::ostream & operator<<( std::ostream & , const D3Vector<U> & ) ;
public :
D3Vector( T a , T b , T c ) {
x = a ;
y = b ;
z = c ;
}
T dotproduct ( const D3Vector & rhs ) {
T scalar = x * rhs.x + y * rhs.y + z * rhs.z ;
return scalar ;
}
D3Vector crossproduct ( const D3Vector & rhs ) {
T a = y * rhs.z - z * rhs.y ;
T b = z * rhs.x - x * rhs.z ;
T c = x * rhs.y - y * rhs.x ;
D3Vector product( a , b , c ) ;
return product ;
}
D3Vector triplevec( D3Vector & a , D3Vector & b ) {
return crossproduct ( a.crossproduct( b ) ) ;
}
T triplescal( D3Vector & a, D3Vector & b ) {
return dotproduct( a.crossproduct( b ) ) ;
}
private :
T x , y , z ;
} ;
template< class T >
std::ostream & operator<< ( std::ostream & os , const D3Vector<T> & vec ) {
os << "( " << vec.x << " , " << vec.y << " , " << vec.z << " )" ;
return os ;
}
int main( ) {
D3Vector<int> a( 3 , 4 , 5 ) , b ( 4 , 3 , 5 ) , c( -5 , -12 , -13 ) ;
std::cout << "a . b : " << a.dotproduct( b ) << "\n" ;
std::cout << "a x b : " << a.crossproduct( b ) << "\n" ;
std::cout << "a . b x c : " << a.triplescal( b , c ) << "\n" ;
std::cout << "a x b x c : " << a.triplevec( b , c ) << "\n" ;
return 0 ;
}
| #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
|
Port the following code from C# to Rust with equivalent syntax and logic. | using System;
using System.Windows.Media.Media3D;
class VectorProducts
{
static double ScalarTripleProduct(Vector3D a, Vector3D b, Vector3D c)
{
return Vector3D.DotProduct(a, Vector3D.CrossProduct(b, c));
}
static Vector3D VectorTripleProduct(Vector3D a, Vector3D b, Vector3D c)
{
return Vector3D.CrossProduct(a, Vector3D.CrossProduct(b, c));
}
static void Main()
{
var a = new Vector3D(3, 4, 5);
var b = new Vector3D(4, 3, 5);
var c = new Vector3D(-5, -12, -13);
Console.WriteLine(Vector3D.DotProduct(a, b));
Console.WriteLine(Vector3D.CrossProduct(a, b));
Console.WriteLine(ScalarTripleProduct(a, b, c));
Console.WriteLine(VectorTripleProduct(a, b, c));
}
}
| #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
|
Transform the following C# implementation into Rust, maintaining the same output and logic. | using System;
using System.Windows.Media.Media3D;
class VectorProducts
{
static double ScalarTripleProduct(Vector3D a, Vector3D b, Vector3D c)
{
return Vector3D.DotProduct(a, Vector3D.CrossProduct(b, c));
}
static Vector3D VectorTripleProduct(Vector3D a, Vector3D b, Vector3D c)
{
return Vector3D.CrossProduct(a, Vector3D.CrossProduct(b, c));
}
static void Main()
{
var a = new Vector3D(3, 4, 5);
var b = new Vector3D(4, 3, 5);
var c = new Vector3D(-5, -12, -13);
Console.WriteLine(Vector3D.DotProduct(a, b));
Console.WriteLine(Vector3D.CrossProduct(a, b));
Console.WriteLine(ScalarTripleProduct(a, b, c));
Console.WriteLine(VectorTripleProduct(a, b, c));
}
}
| #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
|
Translate this program into Rust but keep the logic exactly as in Go. | package main
import "fmt"
type vector struct {
x, y, z float64
}
var (
a = vector{3, 4, 5}
b = vector{4, 3, 5}
c = vector{-5, -12, -13}
)
func dot(a, b vector) float64 {
return a.x*b.x + a.y*b.y + a.z*b.z
}
func cross(a, b vector) vector {
return vector{a.y*b.z - a.z*b.y, a.z*b.x - a.x*b.z, a.x*b.y - a.y*b.x}
}
func s3(a, b, c vector) float64 {
return dot(a, cross(b, c))
}
func v3(a, b, c vector) vector {
return cross(a, cross(b, c))
}
func main() {
fmt.Println(dot(a, b))
fmt.Println(cross(a, b))
fmt.Println(s3(a, b, c))
fmt.Println(v3(a, b, c))
}
| #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
|
Transform the following Go implementation into Rust, maintaining the same output and logic. | package main
import "fmt"
type vector struct {
x, y, z float64
}
var (
a = vector{3, 4, 5}
b = vector{4, 3, 5}
c = vector{-5, -12, -13}
)
func dot(a, b vector) float64 {
return a.x*b.x + a.y*b.y + a.z*b.z
}
func cross(a, b vector) vector {
return vector{a.y*b.z - a.z*b.y, a.z*b.x - a.x*b.z, a.x*b.y - a.y*b.x}
}
func s3(a, b, c vector) float64 {
return dot(a, cross(b, c))
}
func v3(a, b, c vector) vector {
return cross(a, cross(b, c))
}
func main() {
fmt.Println(dot(a, b))
fmt.Println(cross(a, b))
fmt.Println(s3(a, b, c))
fmt.Println(v3(a, b, c))
}
| #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
|
Translate the given Rust code snippet into Python without altering its behavior. | #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
| def crossp(a, b):
assert len(a) == len(b) == 3, 'For 3D vectors only'
a1, a2, a3 = a
b1, b2, b3 = b
return (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)
def dotp(a,b):
assert len(a) == len(b), 'Vector sizes must match'
return sum(aterm * bterm for aterm,bterm in zip(a, b))
def scalartriplep(a, b, c):
return dotp(a, crossp(b, c))
def vectortriplep(a, b, c):
return crossp(a, crossp(b, c))
if __name__ == '__main__':
a, b, c = (3, 4, 5), (4, 3, 5), (-5, -12, -13)
print("a = %r; b = %r; c = %r" % (a, b, c))
print("a . b = %r" % dotp(a,b))
print("a x b = %r" % (crossp(a,b),))
print("a . (b x c) = %r" % scalartriplep(a, b, c))
print("a x (b x c) = %r" % (vectortriplep(a, b, c),))
|
Rewrite this program in Python while keeping its functionality equivalent to the Rust version. | #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
| def crossp(a, b):
assert len(a) == len(b) == 3, 'For 3D vectors only'
a1, a2, a3 = a
b1, b2, b3 = b
return (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)
def dotp(a,b):
assert len(a) == len(b), 'Vector sizes must match'
return sum(aterm * bterm for aterm,bterm in zip(a, b))
def scalartriplep(a, b, c):
return dotp(a, crossp(b, c))
def vectortriplep(a, b, c):
return crossp(a, crossp(b, c))
if __name__ == '__main__':
a, b, c = (3, 4, 5), (4, 3, 5), (-5, -12, -13)
print("a = %r; b = %r; c = %r" % (a, b, c))
print("a . b = %r" % dotp(a,b))
print("a x b = %r" % (crossp(a,b),))
print("a . (b x c) = %r" % scalartriplep(a, b, c))
print("a x (b x c) = %r" % (vectortriplep(a, b, c),))
|
Generate an equivalent VB version of this Rust code. | #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
| Option Base 1
Function dot_product(a As Variant, b As Variant) As Variant
dot_product = WorksheetFunction.SumProduct(a, b)
End Function
Function cross_product(a As Variant, b As Variant) As Variant
cross_product = Array(a(2) * b(3) - a(3) * b(2), a(3) * b(1) - a(1) * b(3), a(1) * b(2) - a(2) * b(1))
End Function
Function scalar_triple_product(a As Variant, b As Variant, c As Variant) As Variant
scalar_triple_product = dot_product(a, cross_product(b, c))
End Function
Function vector_triple_product(a As Variant, b As Variant, c As Variant) As Variant
vector_triple_product = cross_product(a, cross_product(b, c))
End Function
Public Sub main()
a = [{3, 4, 5}]
b = [{4, 3, 5}]
c = [{-5, -12, -13}]
Debug.Print " a . b = "; dot_product(a, b)
Debug.Print " a x b = "; "("; Join(cross_product(a, b), ", "); ")"
Debug.Print "a . (b x c) = "; scalar_triple_product(a, b, c)
Debug.Print "a x (b x c) = "; "("; Join(vector_triple_product(a, b, c), ", "); ")"
End Sub
|
Convert the following code from Rust to VB, ensuring the logic remains intact. | #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
| Option Base 1
Function dot_product(a As Variant, b As Variant) As Variant
dot_product = WorksheetFunction.SumProduct(a, b)
End Function
Function cross_product(a As Variant, b As Variant) As Variant
cross_product = Array(a(2) * b(3) - a(3) * b(2), a(3) * b(1) - a(1) * b(3), a(1) * b(2) - a(2) * b(1))
End Function
Function scalar_triple_product(a As Variant, b As Variant, c As Variant) As Variant
scalar_triple_product = dot_product(a, cross_product(b, c))
End Function
Function vector_triple_product(a As Variant, b As Variant, c As Variant) As Variant
vector_triple_product = cross_product(a, cross_product(b, c))
End Function
Public Sub main()
a = [{3, 4, 5}]
b = [{4, 3, 5}]
c = [{-5, -12, -13}]
Debug.Print " a . b = "; dot_product(a, b)
Debug.Print " a x b = "; "("; Join(cross_product(a, b), ", "); ")"
Debug.Print "a . (b x c) = "; scalar_triple_product(a, b, c)
Debug.Print "a x (b x c) = "; "("; Join(vector_triple_product(a, b, c), ", "); ")"
End Sub
|
Convert this C block to Rust, preserving its control flow and logic. | #include<stdio.h>
typedef struct{
float i,j,k;
}Vector;
Vector a = {3, 4, 5},b = {4, 3, 5},c = {-5, -12, -13};
float dotProduct(Vector a, Vector b)
{
return a.i*b.i+a.j*b.j+a.k*b.k;
}
Vector crossProduct(Vector a,Vector b)
{
Vector c = {a.j*b.k - a.k*b.j, a.k*b.i - a.i*b.k, a.i*b.j - a.j*b.i};
return c;
}
float scalarTripleProduct(Vector a,Vector b,Vector c)
{
return dotProduct(a,crossProduct(b,c));
}
Vector vectorTripleProduct(Vector a,Vector b,Vector c)
{
return crossProduct(a,crossProduct(b,c));
}
void printVector(Vector a)
{
printf("( %f, %f, %f)",a.i,a.j,a.k);
}
int main()
{
printf("\n a = "); printVector(a);
printf("\n b = "); printVector(b);
printf("\n c = "); printVector(c);
printf("\n a . b = %f",dotProduct(a,b));
printf("\n a x b = "); printVector(crossProduct(a,b));
printf("\n a . (b x c) = %f",scalarTripleProduct(a,b,c));
printf("\n a x (b x c) = "); printVector(vectorTripleProduct(a,b,c));
return 0;
}
| #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
|
Transform the following C++ implementation into Rust, maintaining the same output and logic. | #include <iostream>
template< class T >
class D3Vector {
template< class U >
friend std::ostream & operator<<( std::ostream & , const D3Vector<U> & ) ;
public :
D3Vector( T a , T b , T c ) {
x = a ;
y = b ;
z = c ;
}
T dotproduct ( const D3Vector & rhs ) {
T scalar = x * rhs.x + y * rhs.y + z * rhs.z ;
return scalar ;
}
D3Vector crossproduct ( const D3Vector & rhs ) {
T a = y * rhs.z - z * rhs.y ;
T b = z * rhs.x - x * rhs.z ;
T c = x * rhs.y - y * rhs.x ;
D3Vector product( a , b , c ) ;
return product ;
}
D3Vector triplevec( D3Vector & a , D3Vector & b ) {
return crossproduct ( a.crossproduct( b ) ) ;
}
T triplescal( D3Vector & a, D3Vector & b ) {
return dotproduct( a.crossproduct( b ) ) ;
}
private :
T x , y , z ;
} ;
template< class T >
std::ostream & operator<< ( std::ostream & os , const D3Vector<T> & vec ) {
os << "( " << vec.x << " , " << vec.y << " , " << vec.z << " )" ;
return os ;
}
int main( ) {
D3Vector<int> a( 3 , 4 , 5 ) , b ( 4 , 3 , 5 ) , c( -5 , -12 , -13 ) ;
std::cout << "a . b : " << a.dotproduct( b ) << "\n" ;
std::cout << "a x b : " << a.crossproduct( b ) << "\n" ;
std::cout << "a . b x c : " << a.triplescal( b , c ) << "\n" ;
std::cout << "a x b x c : " << a.triplevec( b , c ) << "\n" ;
return 0 ;
}
| #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
|
Generate an equivalent Rust version of this Java code. | public class VectorProds{
public static class Vector3D<T extends Number>{
private T a, b, c;
public Vector3D(T a, T b, T c){
this.a = a;
this.b = b;
this.c = c;
}
public double dot(Vector3D<?> vec){
return (a.doubleValue() * vec.a.doubleValue() +
b.doubleValue() * vec.b.doubleValue() +
c.doubleValue() * vec.c.doubleValue());
}
public Vector3D<Double> cross(Vector3D<?> vec){
Double newA = b.doubleValue()*vec.c.doubleValue() - c.doubleValue()*vec.b.doubleValue();
Double newB = c.doubleValue()*vec.a.doubleValue() - a.doubleValue()*vec.c.doubleValue();
Double newC = a.doubleValue()*vec.b.doubleValue() - b.doubleValue()*vec.a.doubleValue();
return new Vector3D<Double>(newA, newB, newC);
}
public double scalTrip(Vector3D<?> vecB, Vector3D<?> vecC){
return this.dot(vecB.cross(vecC));
}
public Vector3D<Double> vecTrip(Vector3D<?> vecB, Vector3D<?> vecC){
return this.cross(vecB.cross(vecC));
}
@Override
public String toString(){
return "<" + a.toString() + ", " + b.toString() + ", " + c.toString() + ">";
}
}
public static void main(String[] args){
Vector3D<Integer> a = new Vector3D<Integer>(3, 4, 5);
Vector3D<Integer> b = new Vector3D<Integer>(4, 3, 5);
Vector3D<Integer> c = new Vector3D<Integer>(-5, -12, -13);
System.out.println(a.dot(b));
System.out.println(a.cross(b));
System.out.println(a.scalTrip(b, c));
System.out.println(a.vecTrip(b, c));
}
}
| #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
|
Write a version of this Java function in Rust with identical behavior. | public class VectorProds{
public static class Vector3D<T extends Number>{
private T a, b, c;
public Vector3D(T a, T b, T c){
this.a = a;
this.b = b;
this.c = c;
}
public double dot(Vector3D<?> vec){
return (a.doubleValue() * vec.a.doubleValue() +
b.doubleValue() * vec.b.doubleValue() +
c.doubleValue() * vec.c.doubleValue());
}
public Vector3D<Double> cross(Vector3D<?> vec){
Double newA = b.doubleValue()*vec.c.doubleValue() - c.doubleValue()*vec.b.doubleValue();
Double newB = c.doubleValue()*vec.a.doubleValue() - a.doubleValue()*vec.c.doubleValue();
Double newC = a.doubleValue()*vec.b.doubleValue() - b.doubleValue()*vec.a.doubleValue();
return new Vector3D<Double>(newA, newB, newC);
}
public double scalTrip(Vector3D<?> vecB, Vector3D<?> vecC){
return this.dot(vecB.cross(vecC));
}
public Vector3D<Double> vecTrip(Vector3D<?> vecB, Vector3D<?> vecC){
return this.cross(vecB.cross(vecC));
}
@Override
public String toString(){
return "<" + a.toString() + ", " + b.toString() + ", " + c.toString() + ">";
}
}
public static void main(String[] args){
Vector3D<Integer> a = new Vector3D<Integer>(3, 4, 5);
Vector3D<Integer> b = new Vector3D<Integer>(4, 3, 5);
Vector3D<Integer> c = new Vector3D<Integer>(-5, -12, -13);
System.out.println(a.dot(b));
System.out.println(a.cross(b));
System.out.println(a.scalTrip(b, c));
System.out.println(a.vecTrip(b, c));
}
}
| #[derive(Debug)]
struct Vector {
x: f64,
y: f64,
z: f64,
}
impl Vector {
fn new(x: f64, y: f64, z: f64) -> Self {
Vector {
x: x,
y: y,
z: z,
}
}
fn dot_product(&self, other: &Vector) -> f64 {
(self.x * other.x) + (self.y * other.y) + (self.z * other.z)
}
fn cross_product(&self, other: &Vector) -> Vector {
Vector::new(self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x)
}
fn scalar_triple_product(&self, b: &Vector, c: &Vector) -> f64 {
self.dot_product(&b.cross_product(&c))
}
fn vector_triple_product(&self, b: &Vector, c: &Vector) -> Vector {
self.cross_product(&b.cross_product(&c))
}
}
fn main(){
let a = Vector::new(3.0, 4.0, 5.0);
let b = Vector::new(4.0, 3.0, 5.0);
let c = Vector::new(-5.0, -12.0, -13.0);
println!("a . b = {}", a.dot_product(&b));
println!("a x b = {:?}", a.cross_product(&b));
println!("a . (b x c) = {}", a.scalar_triple_product(&b, &c));
println!("a x (b x c) = {:?}", a.vector_triple_product(&b, &c));
}
|
Translate the given Ada code snippet into C# without altering its behavior. | with Ada.Text_IO; use Ada.Text_IO;
procedure Goodbye_World is
begin
Put_Line (Standard_Error, "Goodbye, World!");
end Goodbye_World;
| static class StdErr
{
static void Main(string[] args)
{
Console.Error.WriteLine("Goodbye, World!");
}
}
|
Change the programming language of this snippet from Ada to C without modifying what it does. | with Ada.Text_IO; use Ada.Text_IO;
procedure Goodbye_World is
begin
Put_Line (Standard_Error, "Goodbye, World!");
end Goodbye_World;
| #include <stdio.h>
int main()
{
fprintf(stderr, "Goodbye, ");
fputs("World!\n", stderr);
return 0;
}
|
Write the same algorithm in C++ as shown in this Ada implementation. | with Ada.Text_IO; use Ada.Text_IO;
procedure Goodbye_World is
begin
Put_Line (Standard_Error, "Goodbye, World!");
end Goodbye_World;
| #include <iostream>
int main() {
std::cerr << "Goodbye, World!\n";
}
|
Rewrite the snippet below in Go so it works the same as the original Ada code. | with Ada.Text_IO; use Ada.Text_IO;
procedure Goodbye_World is
begin
Put_Line (Standard_Error, "Goodbye, World!");
end Goodbye_World;
| package main
func main() { println("Goodbye, World!") }
|
Translate this program into Java but keep the logic exactly as in Ada. | with Ada.Text_IO; use Ada.Text_IO;
procedure Goodbye_World is
begin
Put_Line (Standard_Error, "Goodbye, World!");
end Goodbye_World;
| public class Err{
public static void main(String[] args){
System.err.println("Goodbye, World!");
}
}
|
Write the same algorithm in Python as shown in this Ada implementation. | with Ada.Text_IO; use Ada.Text_IO;
procedure Goodbye_World is
begin
Put_Line (Standard_Error, "Goodbye, World!");
end Goodbye_World;
| import sys
print >> sys.stderr, "Goodbye, World!"
|
Convert the following code from Ada to VB, ensuring the logic remains intact. | with Ada.Text_IO; use Ada.Text_IO;
procedure Goodbye_World is
begin
Put_Line (Standard_Error, "Goodbye, World!");
end Goodbye_World;
| Sub StandardError()
Debug.Print "Goodbye World!"
End Sub
|
Rewrite this program in C while keeping its functionality equivalent to the AutoHotKey version. |
FileAppend, Goodbye`, World!, stderr
| #include <stdio.h>
int main()
{
fprintf(stderr, "Goodbye, ");
fputs("World!\n", stderr);
return 0;
}
|
Rewrite the snippet below in C# so it works the same as the original AutoHotKey code. |
FileAppend, Goodbye`, World!, stderr
| static class StdErr
{
static void Main(string[] args)
{
Console.Error.WriteLine("Goodbye, World!");
}
}
|
Generate a C++ translation of this AutoHotKey snippet without changing its computational steps. |
FileAppend, Goodbye`, World!, stderr
| #include <iostream>
int main() {
std::cerr << "Goodbye, World!\n";
}
|
Write the same code in Java as shown below in AutoHotKey. |
FileAppend, Goodbye`, World!, stderr
| public class Err{
public static void main(String[] args){
System.err.println("Goodbye, World!");
}
}
|
Transform the following AWK implementation into C, maintaining the same output and logic. | BEGIN {
print "Goodbye, World!"| "cat 1>&2"
}
| #include <stdio.h>
int main()
{
fprintf(stderr, "Goodbye, ");
fputs("World!\n", stderr);
return 0;
}
|
Maintain the same structure and functionality when rewriting this code in C#. | BEGIN {
print "Goodbye, World!"| "cat 1>&2"
}
| static class StdErr
{
static void Main(string[] args)
{
Console.Error.WriteLine("Goodbye, World!");
}
}
|
Maintain the same structure and functionality when rewriting this code in C++. | BEGIN {
print "Goodbye, World!"| "cat 1>&2"
}
| #include <iostream>
int main() {
std::cerr << "Goodbye, World!\n";
}
|
Can you help me rewrite this code in Java instead of AWK, keeping it the same logically? | BEGIN {
print "Goodbye, World!"| "cat 1>&2"
}
| public class Err{
public static void main(String[] args){
System.err.println("Goodbye, World!");
}
}
|
Keep all operations the same but rewrite the snippet in Python. | BEGIN {
print "Goodbye, World!"| "cat 1>&2"
}
| import sys
print >> sys.stderr, "Goodbye, World!"
|
Generate a VB translation of this AWK snippet without changing its computational steps. | BEGIN {
print "Goodbye, World!"| "cat 1>&2"
}
| Sub StandardError()
Debug.Print "Goodbye World!"
End Sub
|
Produce a language-to-language conversion: from AWK to Go, same semantics. | BEGIN {
print "Goodbye, World!"| "cat 1>&2"
}
| package main
func main() { println("Goodbye, World!") }
|
Change the following BBC_Basic code into C without altering its purpose. | STD_ERROR_HANDLE = -12
SYS "GetStdHandle", STD_ERROR_HANDLE TO @hfile%(1)
PRINT #13, "Goodbye, World!"
QUIT
| #include <stdio.h>
int main()
{
fprintf(stderr, "Goodbye, ");
fputs("World!\n", stderr);
return 0;
}
|
Generate an equivalent C# version of this BBC_Basic code. | STD_ERROR_HANDLE = -12
SYS "GetStdHandle", STD_ERROR_HANDLE TO @hfile%(1)
PRINT #13, "Goodbye, World!"
QUIT
| static class StdErr
{
static void Main(string[] args)
{
Console.Error.WriteLine("Goodbye, World!");
}
}
|
Write the same code in C++ as shown below in BBC_Basic. | STD_ERROR_HANDLE = -12
SYS "GetStdHandle", STD_ERROR_HANDLE TO @hfile%(1)
PRINT #13, "Goodbye, World!"
QUIT
| #include <iostream>
int main() {
std::cerr << "Goodbye, World!\n";
}
|
Keep all operations the same but rewrite the snippet in Java. | STD_ERROR_HANDLE = -12
SYS "GetStdHandle", STD_ERROR_HANDLE TO @hfile%(1)
PRINT #13, "Goodbye, World!"
QUIT
| public class Err{
public static void main(String[] args){
System.err.println("Goodbye, World!");
}
}
|
Convert this BBC_Basic snippet to Python and keep its semantics consistent. | STD_ERROR_HANDLE = -12
SYS "GetStdHandle", STD_ERROR_HANDLE TO @hfile%(1)
PRINT #13, "Goodbye, World!"
QUIT
| import sys
print >> sys.stderr, "Goodbye, World!"
|
Maintain the same structure and functionality when rewriting this code in VB. | STD_ERROR_HANDLE = -12
SYS "GetStdHandle", STD_ERROR_HANDLE TO @hfile%(1)
PRINT #13, "Goodbye, World!"
QUIT
| Sub StandardError()
Debug.Print "Goodbye World!"
End Sub
|
Port the provided BBC_Basic code into Go while preserving the original functionality. | STD_ERROR_HANDLE = -12
SYS "GetStdHandle", STD_ERROR_HANDLE TO @hfile%(1)
PRINT #13, "Goodbye, World!"
QUIT
| package main
func main() { println("Goodbye, World!") }
|
Generate a C translation of this Common_Lisp snippet without changing its computational steps. | (binding [*out* *err*]
(println "Goodbye, world!"))
| #include <stdio.h>
int main()
{
fprintf(stderr, "Goodbye, ");
fputs("World!\n", stderr);
return 0;
}
|
Generate a C# translation of this Common_Lisp snippet without changing its computational steps. | (binding [*out* *err*]
(println "Goodbye, world!"))
| static class StdErr
{
static void Main(string[] args)
{
Console.Error.WriteLine("Goodbye, World!");
}
}
|
Translate the given Common_Lisp code snippet into C++ without altering its behavior. | (binding [*out* *err*]
(println "Goodbye, world!"))
| #include <iostream>
int main() {
std::cerr << "Goodbye, World!\n";
}
|
Write the same code in Java as shown below in Common_Lisp. | (binding [*out* *err*]
(println "Goodbye, world!"))
| public class Err{
public static void main(String[] args){
System.err.println("Goodbye, World!");
}
}
|
Translate this program into Python but keep the logic exactly as in Common_Lisp. | (binding [*out* *err*]
(println "Goodbye, world!"))
| import sys
print >> sys.stderr, "Goodbye, World!"
|
Produce a functionally identical VB code for the snippet given in Common_Lisp. | (binding [*out* *err*]
(println "Goodbye, world!"))
| Sub StandardError()
Debug.Print "Goodbye World!"
End Sub
|
Write a version of this Common_Lisp function in Go with identical behavior. | (binding [*out* *err*]
(println "Goodbye, world!"))
| package main
func main() { println("Goodbye, World!") }
|
Please provide an equivalent version of this D code in C. | import std.stdio;
void main () {
stderr.writeln("Goodbye, World!");
}
| #include <stdio.h>
int main()
{
fprintf(stderr, "Goodbye, ");
fputs("World!\n", stderr);
return 0;
}
|
Ensure the translated C# code behaves exactly like the original D snippet. | import std.stdio;
void main () {
stderr.writeln("Goodbye, World!");
}
| static class StdErr
{
static void Main(string[] args)
{
Console.Error.WriteLine("Goodbye, World!");
}
}
|
Change the programming language of this snippet from D to C++ without modifying what it does. | import std.stdio;
void main () {
stderr.writeln("Goodbye, World!");
}
| #include <iostream>
int main() {
std::cerr << "Goodbye, World!\n";
}
|
Ensure the translated Java code behaves exactly like the original D snippet. | import std.stdio;
void main () {
stderr.writeln("Goodbye, World!");
}
| public class Err{
public static void main(String[] args){
System.err.println("Goodbye, World!");
}
}
|
Port the following code from D to Python with equivalent syntax and logic. | import std.stdio;
void main () {
stderr.writeln("Goodbye, World!");
}
| import sys
print >> sys.stderr, "Goodbye, World!"
|
Please provide an equivalent version of this D code in VB. | import std.stdio;
void main () {
stderr.writeln("Goodbye, World!");
}
| Sub StandardError()
Debug.Print "Goodbye World!"
End Sub
|
Write the same code in Go as shown below in D. | import std.stdio;
void main () {
stderr.writeln("Goodbye, World!");
}
| package main
func main() { println("Goodbye, World!") }
|
Convert the following code from Delphi to C, ensuring the logic remains intact. | program Project1;
begin
WriteLn(ErrOutput, 'Goodbye, World!');
end.
| #include <stdio.h>
int main()
{
fprintf(stderr, "Goodbye, ");
fputs("World!\n", stderr);
return 0;
}
|
Please provide an equivalent version of this Delphi code in C#. | program Project1;
begin
WriteLn(ErrOutput, 'Goodbye, World!');
end.
| static class StdErr
{
static void Main(string[] args)
{
Console.Error.WriteLine("Goodbye, World!");
}
}
|
Please provide an equivalent version of this Delphi code in C++. | program Project1;
begin
WriteLn(ErrOutput, 'Goodbye, World!');
end.
| #include <iostream>
int main() {
std::cerr << "Goodbye, World!\n";
}
|
Convert the following code from Delphi to Java, ensuring the logic remains intact. | program Project1;
begin
WriteLn(ErrOutput, 'Goodbye, World!');
end.
| public class Err{
public static void main(String[] args){
System.err.println("Goodbye, World!");
}
}
|
Convert this Delphi block to Python, preserving its control flow and logic. | program Project1;
begin
WriteLn(ErrOutput, 'Goodbye, World!');
end.
| import sys
print >> sys.stderr, "Goodbye, World!"
|
Port the provided Delphi code into VB while preserving the original functionality. | program Project1;
begin
WriteLn(ErrOutput, 'Goodbye, World!');
end.
| Sub StandardError()
Debug.Print "Goodbye World!"
End Sub
|
Generate an equivalent Go version of this Delphi code. | program Project1;
begin
WriteLn(ErrOutput, 'Goodbye, World!');
end.
| package main
func main() { println("Goodbye, World!") }
|
Rewrite this program in C while keeping its functionality equivalent to the Elixir version. | IO.puts :stderr, "Goodbye, World!"
| #include <stdio.h>
int main()
{
fprintf(stderr, "Goodbye, ");
fputs("World!\n", stderr);
return 0;
}
|
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