# Math constants and limits VCL features

Features that support various math constants and limits.

## Variables

- math.1_PI — The value of the reciprocal of
`math.PI`

(1/Pi). - math.2_PI — The value of two times the reciprocal of
`math.PI`

(2/Pi). - math.2_SQRTPI — The value of two times the reciprocal of the square root of
`math.PI`

(2/sqrt(Pi)). - math.2PI — The value of
`math.PI`

multiplied by two (Tau). - math.E — The value of the base of natural logarithms (e).
- math.FLOAT_DIG — Number of decimal digits that can be stored without loss in the
`FLOAT`

type. - math.FLOAT_EPSILON — Minimum positive difference from 1.0 for the
`FLOAT`

type. - math.FLOAT_MANT_DIG — Number of hexadecimal digits stored for the significand in the
`FLOAT`

type. - math.FLOAT_MAX_10_EXP — Maximum value in base 10 of the exponent part of the
`FLOAT`

type. - math.FLOAT_MAX_EXP — Maximum value in base 2 of the exponent part of the
`FLOAT`

type. - math.FLOAT_MAX — Maximum finite value for the
`FLOAT`

type. - math.FLOAT_MIN_10_EXP — Minimum value in base 10 of the exponent part of the
`FLOAT`

type. - math.FLOAT_MIN_EXP — Minimum value in base 2 of the exponent part of the
`FLOAT`

type. - math.FLOAT_MIN — Minimum finite value for the
`FLOAT`

type. - math.INTEGER_BIT — Number of bits in the
`INTEGER`

type. - math.INTEGER_MAX — Maximum value for the
`INTEGER`

type. - math.INTEGER_MIN — Minimum value for the
`INTEGER`

type. - math.LN10 — The value of the natural logarithm of 10 (log_e 10).
- math.LN2 — The value of the natural logarithm of 2 (log_e 2).
- math.LOG10E — The value of the logarithm to base 10 of
`math.E`

(log_10 e). - math.LOG2E — The value of the logarithm to base 2 of
`math.E`

(log_2 e). - math.NAN — A value that is "not a number." When converted to a STRING value, this is rendered as
`NaN`

. - math.NEG_HUGE_VAL — Negative overflow value.
- math.NEG_INFINITY — A value representing negative infinity (−∞).
- math.PHI — The golden ratio (Φ).
- math.PI_2 — The value of
`math.PI`

divided by two (Pi/2). - math.PI_4 — The value of
`math.PI`

divided by four (Pi/4). - math.PI — The value of the ratio of a circle’s circumference to its diameter (Pi).
- math.POS_HUGE_VAL — Positive overflow value.
- math.POS_INFINITY — A value representing positive infinity (+∞).
- math.SQRT1_2 — The value of the reciprocal of the square root of two (1/sqrt(2)).
- math.SQRT2 — The value of the square root of two (sqrt(2)).
- math.TAU — The value of
`math.PI`

multiplied by two (Tau).