Num.abs:
  description: >
    Calculates the absolute value of a number.
  return:
    type: 'Num'
    description: >
      The absolute value of `n`.
  args:
    n:
      type: 'Num'
      description: >
        The number whose absolute value is to be computed.
  example: |
    >> (-3.5).abs()
    = 3.5
    
Num.acos:
  description: >
    Computes the arc cosine of a number.
  return:
    type: 'Num'
    description: >
      The arc cosine of `x` in radians.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the arc cosine is to be calculated.
  example: |
    >> (0.0).acos() // -> (π/2)
    = 1.5708
    
Num.acosh:
  description: >
    Computes the inverse hyperbolic cosine of a number.
  return:
    type: 'Num'
    description: >
      The inverse hyperbolic cosine of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the inverse hyperbolic cosine is to be calculated.
  example: |
    >> (1.0).acosh()
    = 0
    
Num.asin:
  description: >
    Computes the arc sine of a number.
  return:
    type: 'Num'
    description: >
      The arc sine of `x` in radians.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the arc sine is to be calculated.
  example: |
    >> (0.5).asin()  // -> (π/6)
    = 0.5236
    
Num.asinh:
  description: >
    Computes the inverse hyperbolic sine of a number.
  return:
    type: 'Num'
    description: >
      The inverse hyperbolic sine of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the inverse hyperbolic sine is to be calculated.
  example: |
    >> (0.0).asinh()
    = 0
    
Num.atan:
  description: >
    Computes the arc tangent of a number.
  return:
    type: 'Num'
    description: >
      The arc tangent of `x` in radians.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the arc tangent is to be calculated.
  example: |
    >> (1.0).atan() // -> (π/4)
    = 0.7854
    
Num.atan2:
  description: >
    Computes the arc tangent of the quotient of two numbers.
  return:
    type: 'Num'
    description: >
      The arc tangent of `x/y` in radians.
  args:
    x:
      type: 'Num'
      description: >
        The numerator.
    y:
      type: 'Num'
      description: >
        The denominator.
  example: |
    >> Num.atan2(1, 1) // -> (π/4)
    = 0.7854
    
Num.atanh:
  description: >
    Computes the inverse hyperbolic tangent of a number.
  return:
    type: 'Num'
    description: >
      The inverse hyperbolic tangent of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the inverse hyperbolic tangent is to be calculated.
  example: |
    >> (0.5).atanh()
    = 0.5493
    
Num.cbrt:
  description: >
    Computes the cube root of a number.
  return:
    type: 'Num'
    description: >
      The cube root of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the cube root is to be calculated.
  example: |
    >> (27.0).cbrt()
    = 3
    
Num.ceil:
  description: >
    Rounds a number up to the nearest integer.
  return:
    type: 'Num'
    description: >
      The smallest integer greater than or equal to `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number to be rounded up.
  example: |
    >> (3.2).ceil()
    = 4
    
Num.clamped:
  description: >
    Returns the given number clamped between two values so that it is within
    that range.
  return:
    type: 'Num'
    description: >
      The first argument clamped between the other two arguments.
  args:
    x:
      type: 'Num'
      description: >
        The number to clamp.
    low:
      type: 'Num'
      description: >
        The lowest value the result can take.
    high:
      type: 'Num'
      description: >
        The highest value the result can take.
  example: |
    >> (2.5).clamped(5.5, 10.5)
    = 5.5
    
Num.copysign:
  description: >
    Copies the sign of one number to another.
  return:
    type: 'Num'
    description: >
      A number with the magnitude of `x` and the sign of `y`.
  args:
    x:
      type: 'Num'
      description: >
        The number whose magnitude will be copied.
    y:
      type: 'Num'
      description: >
        The number whose sign will be copied.
  example: |
    >> (3.0).copysign(-1)
    = -3
    
Num.cos:
  description: >
    Computes the cosine of a number (angle in radians).
  return:
    type: 'Num'
    description: >
      The cosine of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The angle in radians.
  example: |
    >> (0.0).cos()
    = 1
    
Num.cosh:
  description: >
    Computes the hyperbolic cosine of a number.
  return:
    type: 'Num'
    description: >
      The hyperbolic cosine of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the hyperbolic cosine is to be calculated.
  example: |
    >> (0.0).cosh()
    = 1
    
Num.erf:
  description: >
    Computes the error function of a number.
  return:
    type: 'Num'
    description: >
      The error function of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the error function is to be calculated.
  example: |
    >> (0.0).erf()
    = 0
    
Num.erfc:
  description: >
    Computes the complementary error function of a number.
  return:
    type: 'Num'
    description: >
      The complementary error function of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the complementary error function is to be calculated.
  example: |
    >> (0.0).erfc()
    = 1
    
Num.exp:
  description: >
    Computes the exponential function $e^x$ for a number.
  return:
    type: 'Num'
    description: >
      The value of $e^x$.
  args:
    x:
      type: 'Num'
      description: >
        The exponent.
  example: |
    >> (1.0).exp()
    = 2.7183
    
Num.exp2:
  description: >
    Computes $2^x$ for a number.
  return:
    type: 'Num'
    description: >
      The value of $2^x$.
  args:
    x:
      type: 'Num'
      description: >
        The exponent.
  example: |
    >> (3.0).exp2()
    = 8
    
Num.expm1:
  description: >
    Computes $e^x - 1$ for a number.
  return:
    type: 'Num'
    description: >
      The value of $e^x - 1$.
  args:
    x:
      type: 'Num'
      description: >
        The exponent.
  example: |
    >> (1.0).expm1()
    = 1.7183
    
Num.fdim:
  description: >
    Computes the positive difference between two numbers.
  return:
    type: 'Num'
    description: >
      The positive difference $\max(0, x - y)$.
  args:
    x:
      type: 'Num'
      description: >
        The first number.
    y:
      type: 'Num'
      description: >
        The second number.
  example: |
    fd
    
    >> (5.0).fdim(3)
    = 2
    
Num.floor:
  description: >
    Rounds a number down to the nearest integer.
  return:
    type: 'Num'
    description: >
      The largest integer less than or equal to `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number to be rounded down.
  example: |
    >> (3.7).floor()
    = 3
    
Num.format:
  description: >
    Formats a number as a text with a specified precision.
  return:
    type: 'Text'
    description: >
      A text representation of the number with the specified precision.
  args:
    n:
      type: 'Num'
      description: >
        The number to be formatted.
    precision:
      type: 'Int'
      default: '0'
      description: >
        The number of decimal places. Default is `0`.
  example: |
    >> (3.14159).format(precision=2)
    = "3.14"
    
Num.hypot:
  description: >
    Computes the Euclidean norm, $\sqrt{x^2 + y^2}$, of two numbers.
  return:
    type: 'Num'
    description: >
      The Euclidean norm of `x` and `y`.
  args:
    x:
      type: 'Num'
      description: >
        The first number.
    y:
      type: 'Num'
      description: >
        The second number.
  example: |
    >> Num.hypot(3, 4)
    = 5
    
Num.isfinite:
  description: >
    Checks if a number is finite.
  return:
    type: 'Bool'
    description: >
      `yes` if `n` is finite, `no` otherwise.
  args:
    n:
      type: 'Num'
      description: >
        The number to be checked.
  example: |
    >> (1.0).isfinite()
    = yes
    >> Num.INF.isfinite()
    = no
    
Num.is_between:
  description: >
    Determines if a number is between two numbers (inclusive).
  return:
    type: 'Bool'
    description: >
      `yes` if `low <= x and x <= high`, otherwise `no`
  args:
    x:
      type: 'Num'
      description: >
        The integer to be checked.
    low:
      type: 'Num'
      description: >
        The lower bound to check (inclusive).
    high:
      type: 'Num'
      description: >
        The upper bound to check (inclusive).
  example: |
    >> (7.5).is_between(1, 10)
    = yes
    >> (7.5).is_between(100, 200)
    = no
    >> (7.5).is_between(1, 7.5)
    = yes
    
Num.isinf:
  description: >
    Checks if a number is infinite.
  return:
    type: 'Bool'
    description: >
      `yes` if `n` is infinite, `no` otherwise.
  args:
    n:
      type: 'Num'
      description: >
        The number to be checked.
  example: |
    >> Num.INF.isinf()
    = yes
    >> (1.0).isinf()
    = no
    
Num.j0:
  description: >
    Computes the Bessel function of the first kind of order 0.
  return:
    type: 'Num'
    description: >
      The Bessel function of the first kind of order 0 of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the Bessel function is to be calculated.
  example: |
    >> (0.0).j0()
    = 1
    
Num.j1:
  description: >
    Computes the Bessel function of the first kind of order 1.
  return:
    type: 'Num'
    description: >
      The Bessel function of the first kind of order 1 of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the Bessel function is to be calculated.
  example: |
    >> (0.0).j1()
    = 0
    
Num.log:
  description: >
    Computes the natural logarithm (base $e$) of a number.
  return:
    type: 'Num'
    description: >
      The natural logarithm of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the natural logarithm is to be calculated.
  example: |
    >> Num.E.log()
    = 1
    
Num.log10:
  description: >
    Computes the base-10 logarithm of a number.
  return:
    type: 'Num'
    description: >
      The base-10 logarithm of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the base-10 logarithm is to be calculated.
  example: |
    >> (100.0).log10()
    = 2
    
Num.log1p:
  description: >
    Computes $\log(1 + x)$ for a number.
  return:
    type: 'Num'
    description: >
      The value of $\log(1 + x)$.
  args:
    x:
      type: 'Num'
      description: >
        The number for which $\log(1 + x)$ is to be calculated.
  example: |
    >> (1.0).log1p()
    = 0.6931
    
Num.log2:
  description: >
    Computes the base-2 logarithm of a number.
  return:
    type: 'Num'
    description: >
      The base-2 logarithm of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the base-2 logarithm is to be calculated.
  example: |
    >> (8.0).log2()
    = 3
    
Num.logb:
  description: >
    Computes the binary exponent (base-2 logarithm) of a number.
  return:
    type: 'Num'
    description: >
      The binary exponent of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the binary exponent is to be calculated.
  example: |
    >> (8.0).logb()
    = 3
    
Num.mix:
  description: >
    Interpolates between two numbers based on a given amount.
  return:
    type: 'Num'
    description: >
      The interpolated number between `x` and `y` based on `amount`.
  args:
    amount:
      type: 'Num'
      description: >
        The interpolation factor (between `0` and `1`).
    x:
      type: 'Num'
      description: >
        The starting number.
    y:
      type: 'Num'
      description: >
        The ending number.
  example: |
    >> (0.5).mix(10, 20)
    = 15
    >> (0.25).mix(10, 20)
    = 12.5
    
Num.near:
  description: >
    Checks if two numbers are approximately equal within specified tolerances. If
    two numbers are within an absolute difference or the ratio between the two is
    small enough, they are considered near each other.
  return:
    type: 'Bool'
    description: >
      `yes` if `x` and `y` are approximately equal within the specified tolerances, `no` otherwise.
  args:
    x:
      type: 'Num'
      description: >
        The first number.
    y:
      type: 'Num'
      description: >
        The second number.
    ratio:
      type: 'Num'
      default: '1e-9'
      description: >
        The relative tolerance. Default is `1e-9`.
    min_epsilon:
      type: 'Num'
      default: '1e-9'
      description: >
        The absolute tolerance. Default is `1e-9`.
  example: |
    >> (1.0).near(1.000000001)
    = yes
    
    >> (100.0).near(110, ratio=0.1)
    = yes
    
    >> (5.0).near(5.1, min_epsilon=0.1)
    = yes
    
Num.nextafter:
  description: >
    Computes the next representable value after a given number towards a specified direction.
  return:
    type: 'Num'
    description: >
      The next representable value after `x` in the direction of `y`.
  args:
    x:
      type: 'Num'
      description: >
        The starting number.
    y:
      type: 'Num'
      description: >
        The direction towards which to find the next representable value.
  example: |
    >> (1.0).nextafter(1.1)
    = 1.0000000000000002
    
Num.parse:
  description: >
    Converts a text representation of a number into a floating-point number.
  return:
    type: 'Num?'
    description: >
      The number represented by the text or `none` if the entire text can't be parsed
      as a number.
  args:
    text:
      type: 'Text'
      description: >
        The text containing the number.
  example: |
    >> Num.parse("3.14")
    = 3.14
    >> Num.parse("1e3")
    = 1000
    
Num.percent:
  description: >
    Convert a number into a percentage text with a percent sign.
  return:
    type: 'Text'
    description: >
      A text representation of the number as a percentage with a percent sign.
  args:
    n:
      type: 'Num'
      description: >
        The number to be converted to a percent.
    precision:
      type: 'Int'
      default: '0'
      description: >
        The number of decimal places. Default is `0`.
  example: |
    >> (0.5).percent()
    = "50%"
    >> (1./3.).percent(2)
    = "33.33%"
    
Num.rint:
  description: >
    Rounds a number to the nearest integer, with ties rounded to the nearest even integer.
  return:
    type: 'Num'
    description: >
      The nearest integer value of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number to be rounded.
  example: |
    >> (3.5).rint()
    = 4
    >> (2.5).rint()
    = 2
    
Num.round:
  description: >
    Rounds a number to the nearest whole number integer.
  return:
    type: 'Num'
    description: >
      The nearest integer value of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number to be rounded.
  example: |
    >> (2.3).round()
    = 2
    >> (2.7).round()
    = 3
    
Num.scientific:
  description: >
    Formats a number in scientific notation with a specified precision.
  return:
    type: 'Text'
    description: >
      A text representation of the number in scientific notation with the specified precision.
  args:
    n:
      type: 'Num'
      description: >
        The number to be formatted.
    precision:
      type: 'Int'
      default: '0'
      description: >
        The number of decimal places. Default is `0`.
  example: |
    >> (12345.6789).scientific(precision=2)
    = "1.23e+04"
    
Num.significand:
  description: >
    Extracts the significand (or mantissa) of a number.
  return:
    type: 'Num'
    description: >
      The significand of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number from which to extract the significand.
  example: |
    >> (1234.567).significand()
    = 0.1234567
    
Num.sin:
  description: >
    Computes the sine of a number (angle in radians).
  return:
    type: 'Num'
    description: >
      The sine of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The angle in radians.
  example: |
    >> (0.0).sin()
    = 0
    
Num.sinh:
  description: >
    Computes the hyperbolic sine of a number.
  return:
    type: 'Num'
    description: >
      The hyperbolic sine of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the hyperbolic sine is to be calculated.
  example: |
    >> (0.0).sinh()
    = 0
    
Num.sqrt:
  description: >
    Computes the square root of a number.
  return:
    type: 'Num'
    description: >
      The square root of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the square root is to be calculated.
  example: |
    >> (16.0).sqrt()
    = 4
    
Num.tan:
  description: >
    Computes the tangent of a number (angle in radians).
  return:
    type: 'Num'
    description: >
      The tangent of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The angle in radians.
  example: |
    >> (0.0).tan()
    = 0
    
Num.tanh:
  description: >
    Computes the hyperbolic tangent of a number.
  return:
    type: 'Num'
    description: >
      The hyperbolic tangent of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the hyperbolic tangent is to be calculated.
  example: |
    >> (0.0).tanh()
    = 0
    
Num.tgamma:
  description: >
    Computes the gamma function of a number.
  return:
    type: 'Num'
    description: >
      The gamma function of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the gamma function is to be calculated.
  example: |
    >> (1.0).tgamma()
    = 1
    
Num.trunc:
  description: >
    Truncates a number to the nearest integer towards zero.
  return:
    type: 'Num'
    description: >
      The integer part of `x` towards zero.
  args:
    x:
      type: 'Num'
      description: >
        The number to be truncated.
  example: |
    >> (3.7).trunc()
    = 3
    >> (-3.7).trunc()
    = -3
    
Num.y0:
  description: >
    Computes the Bessel function of the second kind of order 0.
  return:
    type: 'Num'
    description: >
      The Bessel function of the second kind of order 0 of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the Bessel function is to be calculated.
  example: |
    >> (1.0).y0()
    = -0.7652
    
Num.y1:
  description: >
    Computes the Bessel function of the second kind of order 1.
  return:
    type: 'Num'
    description: >
      The Bessel function of the second kind of order 1 of `x`.
  args:
    x:
      type: 'Num'
      description: >
        The number for which the Bessel function is to be calculated.
  example: |
    >> (1.0).y1()
    = 0.4401
    

Num.1_PI:
  type: Num
  description: >
    The constant $\frac{1}{\pi}$.
Num.2_PI:
  type: Num
  description: >
    The constant $2 \times \pi$.
Num.2_SQRTPI:
  type: Num
  description: >
    The constant $2 \times \sqrt{\pi}$.
Num.E:
  type: Num
  description: >
    The base of the natural logarithm ($e$).
Num.INF:
  type: Num
  description: >
    Positive infinity.
Num.LN10:
  type: Num
  description: >
    The natural logarithm of 10.
Num.LN2:
  type: Num
  description: >
    The natural logarithm of 2.
Num.LOG2E:
  type: Num
  description: >
    The base 2 logarithm of $e$
Num.PI:
  type: Num
  description: >
    Pi ($\pi$).
Num.PI_2:
  type: Num
  description: >
    $\frac{\pi}{2}$
Num.PI_4:
  type: Num
  description: >
    $\frac{\pi}{4}$
Num.SQRT1_2:
  type: Num
  description: >
    $\sqrt{\frac{1}{2}}$
Num.SQRT2:
  type: Num
  description: >
    $\sqrt{2}$
Num.TAU:
  type: Num
  description: >
    Tau ($2 \times \pi$)