Mathematical functions, constants, and trigonometry
U std/math
Name Type Value
PIf643.141592653589793 EULERf642.718281828459045 TAUf646.283185307179586
Function Signature Description
absF abs(x: f64) -> f64Absolute value (f64) abs_i64F abs_i64(x: i64) -> i64Absolute value (i64) minF min(a: f64, b: f64) -> f64Minimum of two f64 maxF max(a: f64, b: f64) -> f64Maximum of two f64 min_i64F min_i64(a: i64, b: i64) -> i64Minimum of two i64 max_i64F max_i64(a: i64, b: i64) -> i64Maximum of two i64 clampF clamp(x: f64, min_val: f64, max_val: f64) -> f64Clamp to range clamp_i64F clamp_i64(x: i64, min_val: i64, max_val: i64) -> i64Clamp to range (i64)
Function Signature Description
sqrtF sqrt(x: f64) -> f64Square root powF pow(x: f64, y: f64) -> f64Power (x^y)
Function Signature Description
floorF floor(x: f64) -> f64Round down ceilF ceil(x: f64) -> f64Round up roundF round(x: f64) -> f64Round to nearest
Function Signature Description
sinF sin(x: f64) -> f64Sine cosF cos(x: f64) -> f64Cosine tanF tan(x: f64) -> f64Tangent asinF asin(x: f64) -> f64Arc sine acosF acos(x: f64) -> f64Arc cosine atanF atan(x: f64) -> f64Arc tangent atan2F atan2(y: f64, x: f64) -> f64Two-argument arc tangent
Function Signature Description
logF log(x: f64) -> f64Natural logarithm log10F log10(x: f64) -> f64Base-10 logarithm log2F log2(x: f64) -> f64Base-2 logarithm expF exp(x: f64) -> f64Exponential (e^x)
Function Signature Description
deg_to_radF deg_to_rad(degrees: f64) -> f64Degrees to radians rad_to_degF rad_to_deg(radians: f64) -> f64Radians to degrees approx_eqF approx_eq(a: f64, b: f64, epsilon: f64) -> i64Approximate equality check
U std/math
F main() -> i64 {
# Absolute value
x := abs(-42.5) # 42.5
y := abs_i64(-10) # 10
# Min/max
smaller := min(3.5, 7.2) # 3.5
larger := max_i64(10, 20) # 20
# Clamping
val := clamp(15.0, 0.0, 10.0) # 10.0
0
}
U std/math
F main() -> i64 {
# Convert degrees to radians
angle := deg_to_rad(45.0)
# Compute sine and cosine
s := sin(angle)
c := cos(angle)
# Pythagorean identity: sin²(x) + cos²(x) = 1
hyp := sqrt(s * s + c * c) # ~1.0
# Inverse trigonometric functions
radians := asin(0.707)
degrees := rad_to_deg(radians)
0
}
U std/math
F main() -> i64 {
# Exponentiation
squared := pow(5.0, 2.0) # 25.0
cubed := pow(2.0, 3.0) # 8.0
# Square root
root := sqrt(16.0) # 4.0
# Natural logarithm
ln := log(EULER) # ~1.0
# Exponential
result := exp(1.0) # ~2.718 (EULER)
# Other logarithms
log_10 := log10(100.0) # 2.0
log_2 := log2(8.0) # 3.0
0
}
U std/math
F main() -> i64 {
x := 3.7
y := 3.2
a := floor(x) # 3.0
b := ceil(x) # 4.0
c := round(x) # 4.0
d := floor(y) # 3.0
e := ceil(y) # 4.0
f := round(y) # 3.0
0
}
U std/math
F main() -> i64 {
a := 0.1 + 0.2
b := 0.3
# Direct comparison may fail due to floating-point precision
# I a == b { ... }
# Use approximate equality instead
epsilon := 0.0001
I approx_eq(a, b, epsilon) == 1 {
# Values are approximately equal
}
0
}
U std/math
# Calculate Euclidean distance between two points
F distance(x1: f64, y1: f64, x2: f64, y2: f64) -> f64 {
dx := x2 - x1
dy := y2 - y1
sqrt(dx * dx + dy * dy)
}
F main() -> i64 {
dist := distance(0.0, 0.0, 3.0, 4.0) # 5.0
0
}
U std/math
F circle_area(radius: f64) -> f64 {
PI * radius * radius
}
F circle_circumference(radius: f64) -> f64 {
TAU * radius # or 2.0 * PI * radius
}
F main() -> i64 {
r := 5.0
area := circle_area(r)
circ := circle_circumference(r)
0
}