ui-ngx/src/assets/help/en_US/math/math-methods_fn.md
The following operators can be used in expressions:
| Operator | Description | Example |
|---|---|---|
+ | Addition or unary plus | 2 + 3 or +3 |
- | Subtraction or unary minus | 5 - 2 or -3 |
* | Multiplication | 4 * 2 |
/ | Division | 10 / 2 |
^ | Exponentiation | 2 ^ 3 |
% | Modulo | 10 % 3 |
Expressions supports implicit multiplication, allowing you to omit the multiplication operator in certain cases. For example, the expression 2cos(yx) is interpreted as 2*cos(y*x). Similarly, 3x is interpreted as 3*x, and xy as x*y. This feature makes writing expressions more concise and natural.
Available constants for calculations:
| Constant | Description | Value |
|---|---|---|
π or pi | The mathematical constant π | 3.141592653589793 |
e | Euler's number | 2.718281828459045 |
φ | The golden ratio | 1.618033988749895 |
The following built-in mathematical functions can be used to perform various calculations:
| Function | Description | Example |
|---|---|---|
abs(x) | Absolute value of x. | abs(-7) = 7 |
acos(x) | Arc cosine of x, result in radians. Requires -1 ≤ x ≤ 1. | acos(1) = 0 |
asin(x) | Arc sine of x, result in radians. Requires -1 ≤ x ≤ 1. | asin(0) = 0 |
atan(x) | Arc tangent of x, result in radians. | atan(0) = 0 |
cbrt(x) | Cube root of x. | cbrt(8) = 2 |
ceil(x) | Rounds x up to the nearest integer. | ceil(3.1) = 4 |
cos(x) | Cosine of x, where x is in radians. | cos(0) = 1 |
cosh(x) | Hyperbolic cosine of x. | cosh(0) = 1 |
cot(x) | Cotangent of x (1 / tan(x)), where x is in radians. | cot(0.7854) ≈ 1 |
exp(x) | Computes e^x. | exp(0) = 1 |
expm1(x) | Computes e^x - 1 accurately for small x. | expm1(0) = 0 |
floor(x) | Rounds x down to the nearest integer. | floor(3.9) = 3 |
ln(x) | Natural logarithm (base e) of x. Requires x > 0. | ln(1) = 0 |
log(x) | Natural logarithm (base e) of x. Requires x > 0. | log(1) = 0 |
lg(x) | Natural logarithm (base 10) of x. Requires x > 0. | lg(10) = 1 |
log10(x) | Logarithm base 10 of x. Requires x > 0. | log10(100) = 2 |
log2(x) | Logarithm base 2 of x. Requires x > 0. | log2(8) = 3 |
logab(a, b) | Logarithm of b with base a. Requires a > 0, b > 0, a ≠ 1. | logab(2, 8) = 3 |
log1p(x) | Computes ln(1 + x) accurately for small x. Requires x > -1. | log1p(0) = 0 |
pow(x, y) | Raises x to the power of y (x^y). | pow(2, 3) = 8 |
signum(x) | Returns the sign of x: -1 if x < 0, 0 if x = 0, 1 if x > 0. | signum(-5) = -1 |
sin(x) | Sine of x, where x is in radians. | sin(0) = 0 |
sinh(x) | Hyperbolic sine of x. | sinh(0) = 0 |
sqrt(x) | Square root of x. Requires x ≥ 0. | sqrt(4) = 2 |
tan(x) | Tangent of x, where x is in radians. | tan(0) = 0 |
tanh(x) | Hyperbolic tangent of x. | tanh(0) = 0 |