//! Verification helper functions for mathematical reasoning

/// Check if an assertion is always false
pub(in crate::proving) fn is_always_false(_assertion: &str) -> bool {
    // Placeholder for detecting always-false assertions
    false
}

/// Check if an assertion is always true
pub(in crate::proving) fn is_always_true(_assertion: &str) -> bool {
    // Placeholder for detecting always-true assertions
    false
}

/// Find counterexample to conditional property
pub(in crate::proving) fn find_conditional_counterexample(_antecedent: &str, _consequent: &str) -> Option<String> {
    // Placeholder for finding counterexamples to conditionals
    None
}

/// Find counterexample to universal quantification
pub(in crate::proving) fn find_universal_counterexample(_assertion: &str) -> Option<String> {
    // Placeholder for finding counterexamples to universal quantifications
    None
}

/// Find witness for existential quantification
pub(in crate::proving) fn find_existential_witness(_assertion: &str) -> Option<String> {
    // Placeholder for finding witnesses to existential quantifications
    None
}

/// Evaluate a mathematical expression to a number
pub(in crate::proving) fn evaluate_expression(expr: &str) -> Option<f64> {
    expr.parse::<f64>().ok().or_else(|| try_binary_operation(expr))
}

fn try_binary_operation(expr: &str) -> Option<f64> {
    try_operation(expr, '+', |a, b| a + b)
        .or_else(|| try_operation(expr, '-', |a, b| a - b))
        .or_else(|| try_operation(expr, '*', |a, b| a * b))
}

fn try_operation<F>(expr: &str, op: char, compute: F) -> Option<f64>
where
    F: Fn(f64, f64) -> f64,
{
    if !expr.contains(op) {
        return None;
    }

    let parts: Vec<&str> = expr.split(op).collect();
    if parts.len() != 2 {
        return None;
    }

    let left = evaluate_expression(parts[0].trim())?;
    let right = evaluate_expression(parts[1].trim())?;
    Some(compute(left, right))
}
