Math.doc

Utilities for number crunching, including vectors and complex numbers.


!              int
         int = Integer number.
   Computes the factorial of the number.  (Non-integer inputs produce
   "strange" results.)

cabs           complex
         complex = List of two numbers (first real, second imaginary).
   Output real absolute value of a complex number.

cadd           complex complex
         complex = List of two numbers (first real, second imaginary).
   Output complex sum of two complex numbers.

cconj          complex
         complex = List of two numbers (first real, second imaginary).
   Output complex conjugate of a complex number.

cdiv           complex complex
         complex = List of two numbers (first real, second imaginary).
   Output complex quotient of two complex numbers.

cmutl          complex complex
         complex = List of two numbers (first real, second imaginary).
   Output complex product of two complex numbers.

cscale         complex real
         complex = List of two numbers (first real, second imaginary).
         real = Any number.
   Output complex product of a complex number and a real number.

csqrt          complex
         complex = List of two numbers (first real, second imaginary).
   Output complex square root of a complex number.

csub           complex complex
         complex = List of two numbers (first real, second imaginary).
   Output complex difference between two complex numbers.

gcd            int int
         int = Integer number.
   Computes the greatest common divisor of the inputs.  (Non-integer
   inputs produce "strange" results.)

lcm            int int
         int = Integer number.
   Computes the least common multiple of the inputs.  (Non-integer
   inputs produce "strange" results.)

rotate-xy      basis angle
         basis = List of three vectors.
         angle = Number, an angle.
   Output basis rotated angle in the X-Y plane.

rotate-yz      basis angle
         basis = List of three vectors.
         angle = Number, an angle.
   Output basis rotated angle in the Y-Z plane.

rotate-zx      basis angle
         basis = List of three vectors.
         angle = Number, an angle.
   Output basis rotated angle in the Z-X plane.

-v             vector
         vector = List of three numbers.
   Output vector opposite of a vector.

vadd           vector vector
         vector = List of three numbers.
   Output vector sum of two vectors.

vbasis         vector basis
         vector = List of three numbers.
         basis = List of three vectors.
   Change of basis. Output vector expressed in terms of new basis.

vcross         vector vector
         vector = List of three numbers.
   Output vector cross product of two vectors.

vdot           vector vector
         vector = List of three numbers.
   Output scalar dot product of two vectors.

vmag           vector
         vector = List of three numbers.
   Output scalar magnitude of a vector.

vrotate        vector vector angle
         vector = List of three numbers.
         angle = Number, an angle.
   Output first vector rotated toward the second vector, second vector
   must be perpendicular to the first.

vscale         vector scalar
         vector = List of three numbers.
         scalar = Any number.
   Output vector product of a vector and a scalar.

vsub           vector vector
         vector = List of three numbers.
   Output vector difference between two vectors.