mathhook_core/calculus/pde/common/
fourier.rs

1//! Fourier coefficient generation utilities
2
3use crate::calculus::pde::registry::PDEError;
4use crate::core::{Expression, Symbol};
5
6/// Creates symbolic Fourier coefficients.
7///
8/// Generates symbolic coefficients A₁, A₂, ..., Aₙ (or custom prefix).
9///
10/// Note: This returns symbolic placeholders. Numerical evaluation requires
11/// symbolic integration of initial/boundary data, which is planned for a future release.
12///
13/// # Arguments
14/// * `prefix` - Coefficient name prefix (e.g., "A", "B", "C")
15/// * `count` - Number of coefficients to generate
16///
17/// # Returns
18/// Vector of symbolic coefficient expressions
19///
20/// # Examples
21/// ```rust
22/// use mathhook_core::calculus::pde::common::create_symbolic_coefficients;
23///
24/// let coeffs = create_symbolic_coefficients("A", 3).unwrap();
25/// assert_eq!(coeffs.len(), 3);
26/// ```
27pub fn create_symbolic_coefficients(
28    prefix: &str,
29    count: usize,
30) -> Result<Vec<Expression>, PDEError> {
31    let coefficients: Vec<_> = (0..count)
32        .map(|i| {
33            let symbol = Symbol::new(format!("{}_{}", prefix, i + 1));
34            Expression::symbol(symbol)
35        })
36        .collect();
37
38    Ok(coefficients)
39}
mathhook_core/calculus/pde/common/fourier.rs

mathhook_core/calculus/pde/common/
fourier.rs
