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//! Stack-based expression evaluator.
//!
//! The [`ExpressionEvaluator`] executes a pre-compiled instruction sequence
//! on a flat stack, producing numeric results from input parameters.
use crate::domain::{EvaluationDomain, PowfExtension};
use crate::error::{EvaluationError, Result};
use crate::function_map::FunctionMap;
use crate::instruction::Instr;
/// A compiled expression ready for numeric evaluation.
///
/// The evaluator holds a sequence of [`Instr`]s and a pre-allocated stack.
/// Call [`evaluate`](ExpressionEvaluator::evaluate) with parameter values
/// to compute the result.
pub struct ExpressionEvaluator<T: EvaluationDomain> {
/// The instruction sequence to execute.
instructions: Vec<Instr>,
/// Number of parameter slots at the start of the stack.
param_count: usize,
/// Number of constant slots (after params).
#[allow(dead_code)]
const_count: usize,
/// Total stack size (params + constants + temporaries + outputs).
stack_size: usize,
/// Indices of result slots in the stack.
result_indices: Vec<usize>,
/// Pre-computed constant values.
constants: Vec<T>,
/// Optional user-defined function registry.
function_map: Option<FunctionMap<T>>,
}
impl<T: EvaluationDomain + PowfExtension> ExpressionEvaluator<T> {
/// Create an evaluator from compiled instruction data.
///
/// This is a low-level constructor used by the compiler. Most users
/// should use [`ExpressionEvaluator::compile`] instead.
#[allow(dead_code)]
pub(crate) fn new(
instructions: Vec<Instr>,
param_count: usize,
const_count: usize,
stack_size: usize,
result_indices: Vec<usize>,
constants: Vec<T>,
) -> Self {
Self {
instructions,
param_count,
const_count,
stack_size,
result_indices,
constants,
function_map: None,
}
}
/// Create an evaluator with a function map for user-defined functions.
#[allow(dead_code)]
pub(crate) fn new_with_functions(
instructions: Vec<Instr>,
param_count: usize,
const_count: usize,
stack_size: usize,
result_indices: Vec<usize>,
constants: Vec<T>,
function_map: FunctionMap<T>,
) -> Self {
Self {
instructions,
param_count,
const_count,
stack_size,
result_indices,
constants,
function_map: Some(function_map),
}
}
/// Return the number of parameters expected by this evaluator.
pub fn param_count(&self) -> usize {
self.param_count
}
/// Evaluate the expression with the given parameter values.
///
/// Returns a vector of result values. The number of results equals
/// `result_indices.len()`.
///
/// # Errors
///
/// Returns [`EvaluationError`] if the number of parameters does not
/// match, or if an arithmetic error occurs (e.g. division by zero).
///
/// # Example
///
/// ```ignore
/// let result = evaluator.evaluate(&[2.0_f64])?;
/// assert_eq!(result.len(), 1);
/// ```
pub fn evaluate(&self, params: &[T]) -> Result<Vec<T>> {
if params.len() != self.param_count {
return Err(EvaluationError::WrongArity {
name: "<expr>".into(),
expected: self.param_count,
got: params.len(),
});
}
let mut stack: Vec<T> = vec![T::zero(); self.stack_size];
// Fill parameters
for (i, p) in params.iter().enumerate() {
stack[i] = p.clone();
}
// Fill constants
for (i, c) in self.constants.iter().enumerate() {
stack[self.param_count + i] = c.clone();
}
// Execute instructions
for instr in &self.instructions {
match instr {
Instr::Add { dst, srcs } => {
let mut sum = stack[srcs[0]].clone();
for idx in &srcs[1..] {
sum = sum.add_ref(&stack[*idx]);
}
stack[*dst] = sum;
}
Instr::Mul { dst, srcs } => {
let mut prod = stack[srcs[0]].clone();
for idx in &srcs[1..] {
prod = prod.mul_ref(&stack[*idx]);
}
stack[*dst] = prod;
}
Instr::Pow { dst, base, exp } => {
stack[*dst] = stack[*base].powi_ref(*exp);
}
Instr::Powf { dst, base, exp } => {
let result = stack[*base].powf_ref(&stack[*exp])?;
stack[*dst] = result;
}
Instr::BuiltinOp { dst, op, src } => {
let name = match op {
crate::instruction::BuiltinOp::Sin => "sin",
crate::instruction::BuiltinOp::Cos => "cos",
crate::instruction::BuiltinOp::Tan => "tan",
crate::instruction::BuiltinOp::Sec => "sec",
crate::instruction::BuiltinOp::Csc => "csc",
crate::instruction::BuiltinOp::Cot => "cot",
crate::instruction::BuiltinOp::Exp => "exp",
crate::instruction::BuiltinOp::Log => "log",
crate::instruction::BuiltinOp::Sqrt => "sqrt",
crate::instruction::BuiltinOp::Abs => "abs",
};
let result = T::resolve_builtin(name, &stack[*src])?;
stack[*dst] = result;
}
Instr::ExternalFun { dst, fn_idx, srcs } => {
let args: Vec<T> = srcs.iter().map(|&i| stack[i].clone()).collect();
let result = self
.function_map
.as_ref()
.and_then(|fm| fm.call_by_index(*fn_idx, &args))
.ok_or_else(|| EvaluationError::FunctionNotFound {
name: format!("external function at index {fn_idx}"),
})?;
stack[*dst] = result;
}
Instr::Copy { dst, src } => {
stack[*dst] = stack[*src].clone();
}
}
}
// Collect results
let results: Vec<T> = self
.result_indices
.iter()
.map(|&i| stack[i].clone())
.collect();
Ok(results)
}
}
/// SIMD batch evaluation support.
#[cfg(feature = "simd")]
impl ExpressionEvaluator<f64> {
/// Compile this evaluator into a [`VectorEvaluator`] for batch SIMD evaluation.
///
/// The resulting evaluator processes multiple input values simultaneously
/// using the best available SIMD width (SSE2/AVX2/AVX-512).
///
/// # Errors
///
/// Returns [`EvaluationError::UnsupportedOperation`] if the expression
/// contains external functions, which are not supported in SIMD mode.
pub fn compile_vector_evaluator(&self) -> Result<crate::simd::VectorEvaluator> {
// Check for unsupported instructions
for instr in &self.instructions {
if let Instr::ExternalFun { .. } = instr {
return Err(EvaluationError::UnsupportedOperation {
message: "external functions not supported in SIMD mode".into(),
});
}
}
Ok(crate::simd::VectorEvaluator::new(
self.instructions.clone(),
self.param_count,
self.const_count,
self.stack_size,
self.result_indices.clone(),
self.constants.clone(),
))
}
}
#[cfg(test)]
mod tests {
use super::*;
fn make_simple_evaluator() -> ExpressionEvaluator<f64> {
// Evaluate: x + 1
// Stack layout: [param(0)=x] [const(0)=1.0] [temp(0)=result]
// Instructions: Add(temp(0), param(0), const(0))
let instructions = vec![Instr::Add {
dst: 2,
srcs: vec![0, 1],
}];
let constants = vec![1.0f64];
ExpressionEvaluator::new(instructions, 1, 1, 3, vec![2], constants)
}
#[test]
fn simple_add() {
let eval = make_simple_evaluator();
assert_eq!(eval.param_count(), 1);
let result = eval.evaluate(&[2.0]).unwrap();
assert!((result[0] - 3.0).abs() < 1e-10);
}
#[test]
fn wrong_param_count() {
let eval = make_simple_evaluator();
assert!(eval.evaluate(&[1.0, 2.0]).is_err());
assert!(eval.evaluate(&[]).is_err());
}
#[test]
fn mul_expression() {
// Evaluate: x * 2
let instructions = vec![Instr::Mul {
dst: 2,
srcs: vec![0, 1],
}];
let constants = vec![2.0f64];
let eval = ExpressionEvaluator::new(instructions, 1, 1, 3, vec![2], constants);
assert!((eval.evaluate(&[3.0]).unwrap()[0] - 6.0).abs() < 1e-10);
}
#[test]
fn pow_expression() {
// Evaluate: x^3
let instructions = vec![Instr::Pow {
dst: 1,
base: 0,
exp: 3,
}];
let eval = ExpressionEvaluator::new(instructions, 1, 0, 2, vec![1], vec![]);
assert!((eval.evaluate(&[2.0]).unwrap()[0] - 8.0).abs() < 1e-10);
}
#[test]
fn builtin_sin() {
// Evaluate: sin(x)
let instructions = vec![Instr::BuiltinOp {
dst: 1,
op: crate::instruction::BuiltinOp::Sin,
src: 0,
}];
let eval = ExpressionEvaluator::new(instructions, 1, 0, 2, vec![1], vec![]);
let result = eval.evaluate(&[std::f64::consts::FRAC_PI_2]).unwrap();
assert!((result[0] - 1.0).abs() < 1e-10);
}
#[test]
fn copy_instruction() {
// Evaluate: x (identity)
let instructions = vec![Instr::Copy { dst: 1, src: 0 }];
let eval = ExpressionEvaluator::new(instructions, 1, 0, 2, vec![1], vec![]);
assert!((eval.evaluate(&[42.0]).unwrap()[0] - 42.0).abs() < 1e-10);
}
}