uCalc API Version: 2.1.3-preview.2 Released: 6/17/2026

Warning

uCalc API Preview Release Notice:The documentation describes the intended behavior of the API. The current preview build contains incomplete features, unoptimized performance, and is subject to breaking changes.

Math

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Remarks

These functions are mainly derived from the C++ math () standard library.

📐 Trigonometric Functions

Function	Description
`Cos(x)`	Computes the cosine of x (radians).
`Sin(x)`	Computes the sine of x (radians).
`Tan(x)`	Computes the tangent of x (radians).
`Acos(x)`	Computes the arc‑cosine of x, returning an angle in radians.
`Asin(x)`	Computes the arc‑sine of x, returning an angle in radians.
`Atan(x)`	Computes the arc‑tangent of x, returning an angle in radians.
`Atan2(x, y)`	Computes the arc‑tangent of x/y using quadrant information.

🌡️ Hyperbolic Functions

Function	Description
`Cosh(x)`	Hyperbolic cosine of x.
`Sinh(x)`	Hyperbolic sine of x.
`Tanh(x)`	Hyperbolic tangent of x.
`Acosh(x)`	Inverse hyperbolic cosine.
`Asinh(x)`	Inverse hyperbolic sine.
`Atanh(x)`	Inverse hyperbolic tangent.

📈 Exponential & Logarithmic Functions

Function	Description
`Exp(x)`	Computes (e^x).
`Frexp(x, y As Int Ptr)`	Splits x into mantissa and exponent.
`Ldexp(x, y As Int)`	Computes x × 2^y.
`Log(x)`	Natural logarithm of x.
`Log10(x)`	Base‑10 logarithm of x.
`Modf(x, y As Double Ptr)`	Splits x into fractional and integer parts.
`Exp2(x)`	Computes (2^x).
`Expm1(x)`	Computes (e^x - 1) with high precision for small x.
`Ilogb(x)`	Extracts exponent of x as an integer.
`Log1p(x)`	Computes (\log(1 + x)) accurately for small x.
`Log2(x)`	Base‑2 logarithm of x.
`Logb(x)`	Extracts exponent in floating‑point representation.
`Scalbn(x, y As Int)`	Scales x by (2^y).
`Scalbln(x, y As Int)`	Long‑integer version of `Scalbn`.

🔢 Power Functions

Function	Description
`Pow(x, y As Int)`	Raises x to integer power y.
`Pow(x, y)`	Raises x to floating‑point power y.
`Sqr(x)`	Square of x.
`Sqrt(x)`	Square root of x.
`Cbrt(x)`	Cube root of x.
`Hypot(x, y)`	Computes (\sqrt{x^{2 + y}2}) without overflow.

🧮 Error & Gamma Functions

Function	Description
`Erf(x)`	Error function.
`Erfc(x)`	Complementary error function.
`Tgamma(x)`	Gamma function.
`Lgamma(x)`	Natural log of the gamma function.

🔄 Rounding & Remainder

Function	Description
`Ceil(x)`	Rounds x upward to nearest integer.
`Floor(x)`	Rounds x downward to nearest integer.
`Fmod(x, y)`	Floating‑point remainder of x / y.
`Trunc(x)`	Truncates fractional part of x.
`Frac(x)`	Returns fractional part of x.
`Round(x)`	Rounds x to nearest integer.
`Lround(x)`	Rounds to nearest integer (returns Int).
`Llround(x)`	Rounds to nearest integer (returns Int64).
`Rint(x)`	Rounds using current rounding mode.
`Lrint(x)`	Same as `Rint`, returns Int.
`Llrint(x)`	Same as `Rint`, returns Int64.
`Nearbyint(x)`	Rounds using current mode without raising exceptions.
`Remainder(x, y)`	IEEE remainder of x / y.
`Remquo(x, y, z As Int Ptr)`	Remainder plus low bits of quotient.

⚙️ Floating‑Point Manipulation

Function	Description
`Copysign(x, y)`	Returns x with the sign of y.
`Nextafter(x, y)`	Next representable value of x toward y.
`Nexttoward(x, y)`	Extended‑precision version of `Nextafter`.

➕ Max, Min, Difference

Function	Description
`Fdim(x, y)`	Positive difference: max(x − y, 0).
`Fmax(x, y)`	Floating‑point max.
`Fmin(x, y)`	Floating‑point min.
`Min(x …)`	Minimum of a variadic list.
`Max(x …)`	Maximum of a variadic list.

🔍 Other

Function	Description
`Abs(x)`	Absolute value (generic).
`Fabs(x)`	Floating‑point absolute value.

🎲 Random Functions

Function	Description
`RandomSeed(x As Int)`	Sets the random seed.
`RandomNumber(x = 0, y = 1000)`	Returns integer in range ([x, y]).
`Rand(MinX, MaxX)`	Returns integer in range using `RandomNumber`.
`Rand()`	Returns last random number normalized to ([0,1]).
`RandFromSameSeed(x)`	Seeds with x and returns a random value.
`Rand(x)`	Overloaded: positive → new random, zero → last, negative → deterministic from seed.

♾️ Infinity & Classification

Function	Description
`Fpclassify(x)`	Classifies floating‑point value (zero, normal, subnormal, etc.).
`Isfinite(x)`	True if x is finite.
`IsInf(x)`	True if x is infinite.
`IsNaN(x)`	True if x is NaN.
`IsNormal(x)`	True if x is a normal floating‑point value.
`SignBit(x)`	True if sign bit of x is set.

🔢 Complex Number Operations

Function	Description
`Real(x)`	Real part of complex number.
`Imag(x)`	Imaginary part.
`Abs(x)`	Magnitude of complex number.
`Arg(x)`	Phase angle.
`Norm(x)`	Squared magnitude.
`Conj(x)`	Complex conjugate.
`Polar(x)`	Constructs complex number from magnitude/angle.
`Proj(x)`	Complex projection onto Riemann sphere.

Function	Description
`Cos(x)`	Complex cosine.
`Cosh(x)`	Complex hyperbolic cosine.
`Exp(x)`	Complex exponential.
`Log(x)`	Complex natural log.
`Log10(x)`	Complex base‑10 log.
`Pow(x, y)`	Complex power.
`Sin(x)`	Complex sine.
`Sinh(x)`	Complex hyperbolic sine.
`Sqrt(x)`	Complex square root.
`Tan(x)`	Complex tangent.
`Tanh(x)`	Complex hyperbolic tangent.
`Acos(x)`	Complex arc‑cosine.
`Acosh(x)`	Complex inverse hyperbolic cosine.
`Asin(x)`	Complex arc‑sine.
`Asinh(x)`	Complex inverse hyperbolic sine.
`Atan(x)`	Complex arc‑tangent.
`Atanh(x)`	Complex inverse hyperbolic tangent.