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Math reference

The 23 functions and 3 values of math: signature, effects, phase, cost and tested examples.

Arithmetic and elementary functions. The functions that need a transcendental calculation (math.log, math.exp, math.pow and the trigonometric functions) use the deterministic math kernel, so they give the same numbers on every machine.

Functions#

math.abs#

math.abs(value)

The absolute value.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.
  • Examples: User functions, Lazy operators.

math.acos#

math.acos([value])

A trigonometric function, in radians.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.asin#

math.asin([value])

A trigonometric function, in radians.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.atan#

math.atan([value])

A trigonometric function, in radians.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.avg#

math.avg(...values)

The mean of its arguments.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.ceil#

math.ceil(value)

The smallest whole number that is not less than the value.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.cos#

math.cos(value)

A trigonometric function, in radians.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.exp#

math.exp(value)

e raised to the value.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.floor#

math.floor(value)

The largest whole number that is not more than the value.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.log#

math.log(value)

The natural or base-10 logarithm.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.log10#

math.log10(value)

The natural or base-10 logarithm.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.max#

math.max(...values)

The smallest or largest of its arguments.

math.min#

math.min(...values)

The smallest or largest of its arguments.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.
  • Examples: RSI written out.

math.pow#

math.pow(base, exponent)

base raised to exponent.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.random#

math.random([min], [max], [seed])

A pseudo-random number from min to max. The same seed and the same call site give the same numbers on every run and every machine.

  • Effects: keeps a state for each place it is written (a call site) and advances it when execution reaches the call.
  • Phase: every bar.
  • Cost: one state per call site.
  • Returns: a number.
  • Examples: Seeded random numbers.

math.rem#

math.rem(a, b)

The remainder of a divided by b, with the sign of a.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.round#

math.round(value, [precision])

Rounds to the nearest whole number, or to precision decimals.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.sign#

math.sign(value)

-1, 0 or 1 by the sign of the number.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.
  • Examples: On-balance volume.

math.sin#

math.sin(value)

A trigonometric function, in radians.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.sqrt#

math.sqrt(value)

The square root.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.tan#

math.tan(value)

A trigonometric function, in radians.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.to_degrees#

math.to_degrees([value])

Converts between radians and degrees.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

math.to_radians#

math.to_radians([value])

Converts between radians and degrees.

  • Effects: none: the result depends on the arguments only.
  • Phase: every bar.
  • Cost: a fixed number of operations.
  • Returns: a number.

Values#

  • math.e
  • math.phi
  • math.pi