32 lines
3.1 KiB
Markdown
32 lines
3.1 KiB
Markdown
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## Built-in mathematical functions
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The following expression field provides support for built-in mathematical functions that you can utilize for various calculations.
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| Function | Description | Example |
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|---------------|---------------------------------------------------------------------|-------------------|
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| `abs(x)` | Absolute value of `x`. | `abs(-7) = 7` |
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| `acos(x)` | Arc cosine of `x`, result in radians. Requires `-1 ≤ x ≤ 1`. | `acos(1) = 0` |
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| `asin(x)` | Arc sine of `x`, result in radians. Requires `-1 ≤ x ≤ 1`. | `asin(0) = 0` |
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| `atan(x)` | Arc tangent of `x`, result in radians. | `atan(0) = 0` |
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| `cbrt(x)` | Cube root of `x`. | `cbrt(8) = 2` |
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| `ceil(x)` | Rounds `x` up to the nearest integer. | `ceil(3.1) = 4` |
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| `cos(x)` | Cosine of `x`, where `x` is in radians. | `cos(0) = 1` |
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| `cosh(x)` | Hyperbolic cosine of `x`. | `cosh(0) = 1` |
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| `cot(x)` | Cotangent of `x` (1 / tan(`x`)), where `x` is in radians. | `cot(0.7854) ≈ 1` |
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| `exp(x)` | Computes `e^x`. | `exp(0) = 1` |
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| `expm1(x)` | Computes `e^x - 1` accurately for small `x`. | `expm1(0) = 0` |
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| `floor(x)` | Rounds `x` down to the nearest integer. | `floor(3.9) = 3` |
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| `ln(x)` | Natural logarithm (base *e*) of `x`. Requires `x > 0`. | `ln(1) = 0` |
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| `log(x)` | Natural logarithm (base *e*) of `x`. Requires `x > 0`. | `log(1) = 0` |
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| `lg(x)` | Natural logarithm (base 10) of `x`. Requires `x > 0`. | `lg(10) = 1` |
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| `log10(x)` | Logarithm base 10 of `x`. Requires `x > 0`. | `log10(100) = 2` |
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| `log2(x)` | Logarithm base 2 of `x`. Requires `x > 0`. | `log2(8) = 3` |
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| `logab(a, b)` | Logarithm of `b` with base `a`. Requires `a > 0`, `b > 0`, `a ≠ 1`. | `logab(2, 8) = 3` |
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| `log1p(x)` | Computes `ln(1 + x)` accurately for small `x`. Requires `x > -1`. | `log1p(0) = 0` |
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| `pow(x, y)` | Raises `x` to the power of `y` (`x^y`). | `pow(2, 3) = 8` |
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| `signum(x)` | Returns the sign of `x`: -1 if `x < 0`, 0 if `x = 0`, 1 if `x > 0`. | `signum(-5) = -1` |
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| `sin(x)` | Sine of `x`, where `x` is in radians. | `sin(0) = 0` |
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| `sinh(x)` | Hyperbolic sine of `x`. | `sinh(0) = 0` |
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| `sqrt(x)` | Square root of `x`. Requires `x ≥ 0`. | `sqrt(4) = 2` |
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| `tan(x)` | Tangent of `x`, where `x` is in radians. | `tan(0) = 0` |
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| `tanh(x)` | Hyperbolic tangent of `x`. | `tanh(0) = 0` |
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