zyx 0.16.0

Zyx machine learning library
Documentation
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// Copyright (C) 2025 zk4x
// SPDX-License-Identifier: LGPL-3.0-only

//! Constant folding and dead code elimination for kernels.
//!
//! This module provides optimizations that evaluate constant expressions
//! and eliminate dead code from kernel IR:
//!
//! - Constant folding: evaluate expressions with constant operands
//! - Accumulator folding: simplify accumulator chains
//! - Empty loop removal: remove loops with zero iterations
//! - Dead code elimination: remove unused operations
//! - Constant movement: move constants to the beginning of kernels
//! - Power unfolding: unfold constant power operations
//!
//! These optimizations reduce instruction count and improve performance.

use crate::{
    DType, Map, Set,
    dtype::Constant,
    kernel::{BOp, IDX_T, Kernel, MemLayout, MemScope, Op, OpId, UOp},
};
use std::hash::BuildHasherDefault;

impl Kernel {
    /// Fold constant expressions in the kernel IR.
    ///
    /// This method evaluates expressions with constant operands,
    /// reducing instruction count and improving performance.
    ///
    /// It processes all operations in the kernel and replaces
    /// constant expressions with their computed values.
    #[allow(clippy::match_same_arms)]
    pub fn constant_folding(&mut self) {
        #[cfg(feature = "time")]
        let _timer = crate::Timer::new("constant folding");
        let mut op_id = self.head;
        while !op_id.is_null() {
            let next = self.next_op(op_id);
            match *self.at(op_id) {
                Op::Move { .. } | Op::ConstView { .. } | Op::LoadView { .. } | Op::StoreView { .. } | Op::Reduce { .. } => {
                    unreachable!("these ops should be unfolded before constant folding")
                }
                Op::Wmma { .. } | Op::Barrier { .. } | Op::If { .. } | Op::EndIf => {}
                Op::Devectorize { .. }
                | Op::Const(_)
                | Op::Define { .. }
                | Op::Load { .. }
                | Op::Index { .. }
                | Op::Loop { .. }
                | Op::EndLoop => {}
                Op::Vectorize { ref ops } => {
                    // vectorize[devec(v,0), devec(v,1), ..., devec(v,n-1)] → v
                    if let Op::Devectorize { vec, idx: 0 } = self.at(ops[0]) {
                        let vec = *vec;
                        if ops[1..].iter().enumerate().all(
                            |(i, &sub)| matches!(self.at(sub), Op::Devectorize { vec: v, idx } if *v == vec && *idx == i + 1),
                        ) {
                            self.remap(op_id, vec);
                        }
                    }
                }
                Op::Store { dst, x, .. } => {
                    // If we store something that we just loaded, the store is pointless
                    if let Op::Load { src, .. } = *self.at(x) {
                        if src == dst {
                            self.remove_op(op_id);
                        }
                    }
                }
                Op::Cast { x, dtype } => {
                    if let Op::Const(cx) = self.at(x) {
                        self.ops[op_id].op = Op::Const(cx.cast(dtype));
                    }
                    // Cast of Cast: remove intermediate cast
                    if let Op::Cast { x: inner_x, .. } = *self.at(x) {
                        self.ops[op_id].op = Op::Cast { x: inner_x, dtype };
                    }
                    // x + c1 - c1 simplifies to x
                    // Handle: Cast(Sub(Cast(Add(x, c1)), c2)) where c1 == c2 → Cast(x)
                    if let Op::Binary { x: sub_x, y: sub_y, bop: BOp::Sub } = *self.at(x) {
                        let add_x = if let Op::Cast { x: inner_cast_x, .. } = *self.at(sub_x) {
                            inner_cast_x
                        } else {
                            sub_x
                        };
                        if let Op::Binary { x: inner_add_x, y: add_y, bop: BOp::Add } = *self.at(add_x) {
                            if self.constants_equal(add_y, sub_y) {
                                self.ops[op_id].op = Op::Cast { x: inner_add_x, dtype };
                            }
                        }
                    }
                }
                Op::Unary { x, uop } => {
                    if let Op::Const(cx) = self.at(x) {
                        self.ops[op_id].op = Op::Const(cx.unary(uop));
                    }
                }
                Op::Binary { x, y, bop } => match (self.at(x).clone(), self.at(y).clone()) {
                    (Op::Const(cx), Op::Const(cy)) => {
                        self.ops[op_id].op = Op::Const(Constant::binary(cx, cy, bop));
                    }
                    (Op::Const(cx), _) => match bop {
                        BOp::And if cx.dtype() == DType::Bool && cx.is_zero() => self.remap(op_id, x),
                        BOp::And if cx.dtype() == DType::Bool && cx.is_one() => self.remap(op_id, y),
                        BOp::Add if cx.is_zero() => self.remap(op_id, y),
                        BOp::Sub if cx.is_zero() => self.ops[op_id].op = Op::Unary { x: y, uop: UOp::Neg },
                        BOp::Mul | BOp::Div if cx.is_zero() => self.ops[op_id].op = Op::Const(cx),
                        BOp::Mul if cx.is_one() => self.remap(op_id, y),
                        BOp::Mul if cx.is_two() => self.ops[op_id].op = Op::Binary { x: y, y, bop: BOp::Add },
                        BOp::Mul if cx.is_power_of_two() && cx.dtype() == IDX_T => {
                            let c = self.insert_before(op_id, Op::Const(cx.unary(UOp::Log2)));
                            self.ops[op_id].op = Op::Binary { x: y, y: c, bop: BOp::BitShiftLeft };
                        }
                        BOp::Div if cx.is_zero() => self.remap(op_id, x),
                        BOp::Div if cx.is_one() => self.ops[op_id].op = Op::Unary { x: y, uop: UOp::Reciprocal },
                        BOp::Pow if cx.is_one() => self.ops[op_id].op = Op::Const(cx),
                        BOp::Max if cx.is_minimum() => self.remap(op_id, y),
                        BOp::BitShiftLeft | BOp::BitShiftRight if cx.is_zero() => self.remap(op_id, y),
                        _ => {}
                    },
                    (_, Op::Const(cy)) => match bop {
                        BOp::And if cy.dtype() == DType::Bool && cy.is_zero() => self.remap(op_id, y),
                        BOp::And if cy.dtype() == DType::Bool && cy.is_one() => self.remap(op_id, x),
                        BOp::Add | BOp::Sub if cy.is_zero() => self.remap(op_id, x),
                        BOp::Mul if cy.is_zero() => self.ops[op_id].op = Op::Const(cy),
                        BOp::Mul if cy.is_one() => self.remap(op_id, x),
                        BOp::Mul if cy.is_two() => self.ops[op_id].op = Op::Binary { x, y: x, bop: BOp::Add },
                        BOp::Mul if cy.is_power_of_two() && cy.dtype() == IDX_T => {
                            let c = self.insert_before(op_id, Op::Const(cy.unary(UOp::Log2)));
                            self.ops[op_id].op = Op::Binary { x, y: c, bop: BOp::BitShiftLeft };
                        }
                        BOp::Div if cy.is_zero() => panic!("Division by constant zero"),
                        BOp::Div if cy.is_one() => self.remap(op_id, x),
                        BOp::Div if cy.is_power_of_two() && cy.dtype() == IDX_T => {
                            let y = self.insert_before(op_id, Op::Const(cy.unary(UOp::Log2)));
                            self.ops[op_id].op = Op::Binary { x, y, bop: BOp::BitShiftRight };
                        }
                        BOp::Mod if cy.is_zero() && cy.dtype() == IDX_T => {
                            let shift = Constant::binary(cy, Constant::idx(1), BOp::Sub);
                            let y = self.insert_before(op_id, Op::Const(shift));
                            self.ops[op_id].op = Op::Binary { x, y, bop: BOp::BitAnd };
                        }
                        BOp::Mod if cy.is_zero() => panic!("Modulo by constant zero"),
                        // Consecutive modulo by constant, pick smallest constant
                        BOp::Mod if cy.dtype() == IDX_T => {
                            if let Op::Binary { bop, x: xi, y: yi } = self.ops[x].op {
                                if bop == BOp::Mod
                                    && let Op::Const(ciy) = self.ops[yi].op
                                {
                                    if ciy > cy {
                                        self.ops[op_id].op = Op::Binary { x: xi, y, bop: BOp::Mod };
                                    } else {
                                        self.ops[op_id].op = Op::Binary { x: xi, y: yi, bop: BOp::Mod };
                                    }
                                }
                            }
                        }
                        BOp::Pow if cy.is_zero() => self.ops[op_id].op = Op::Const(cy.dtype().one_constant()),
                        BOp::Pow if cy.is_one() => self.remap(op_id, x),
                        BOp::Pow if cy.is_two() => self.ops[op_id].op = Op::Binary { x, y: x, bop: BOp::Mul },
                        BOp::BitShiftLeft if cy.is_zero() => self.remap(op_id, x),
                        BOp::BitShiftRight if cy.is_zero() => self.remap(op_id, x),
                        _ => {}
                    },
                    (x_op, y_op) if x_op == y_op => match bop {
                        BOp::Div => {
                            let dtype = self.dtype(x);
                            self.ops[op_id].op = Op::Const(dtype.one_constant());
                        }
                        BOp::Sub => {
                            let dtype = self.dtype(x);
                            self.ops[op_id].op = Op::Const(dtype.zero_constant());
                        }
                        _ => {}
                    },
                    _ => {}
                },
                Op::Mad { x, y, z } => match (self.at(x).clone(), self.at(y).clone(), self.at(z).clone()) {
                    (Op::Const(cx), Op::Const(cy), Op::Const(cz)) => {
                        let mul = Constant::binary(cx, cy, BOp::Mul);
                        self.ops[op_id].op = Op::Const(Constant::binary(mul, cz, BOp::Add));
                    }
                    (Op::Const(cx), Op::Const(cy), _) => {
                        let mul = Constant::binary(cx, cy, BOp::Mul);
                        let x = self.insert_before(op_id, Op::Const(mul));
                        self.ops[op_id].op = Op::Binary { x, y: z, bop: BOp::Add };
                    }
                    (Op::Const(cx), _, _) if cx.is_zero() => {
                        self.remap(op_id, z);
                    }
                    (Op::Const(cx), _, _) if cx.is_one() => {
                        self.ops[op_id].op = Op::Binary { x: y, y: z, bop: BOp::Add };
                    }
                    (_, Op::Const(cy), _) if cy.is_zero() => {
                        self.remap(op_id, z);
                    }
                    (_, Op::Const(cy), _) if cy.is_one() => {
                        self.ops[op_id].op = Op::Binary { x, y: z, bop: BOp::Add };
                    }
                    (_, _, Op::Const(cz)) if cz.is_zero() => {
                        self.ops[op_id].op = Op::Binary { x, y, bop: BOp::Mul };
                    }
                    _ => {}
                },
            }
            op_id = next;
        }

        self.verify();
    }

    /// Fold accumulators in the kernel.
    ///
    /// This method eliminates accumulators that are not stored into
    /// in loops, reducing instruction count and improving performance.
    pub(crate) fn fold_accs(&mut self) {
        #[cfg(feature = "time")]
        let _timer = crate::Timer::new("fold_accs");
        // We have to do constant folding before folding accs to guarantee indices are constants
        self.constant_folding();
        // Check if a define exists without a loop that stores into that define
        let mut defines = Map::default();
        let mut loop_level = 0u32;
        let mut op_id = self.head;
        while !op_id.is_null() {
            match *self.at(op_id) {
                Op::Define { scope: MemScope::Register, .. } => {
                    defines.insert(op_id, loop_level);
                }
                Op::Store { dst, .. } => {
                    //println!("Store to {dst}, loop_level={loop_level}");
                    if let Some(level) = defines.get(&dst) {
                        if loop_level > *level {
                            defines.remove(&dst);
                        }
                    }
                }
                Op::Loop { .. } => {
                    loop_level += 1;
                }
                Op::EndLoop => {
                    loop_level -= 1;
                }
                _ => {}
            }
            op_id = self.next_op(op_id);
        }
        //println!("defines: {defines:?}");
        for (define, _) in defines {
            self.fold_acc(define);
        }
    }

    /// Fold a single accumulator operation.
    ///
    /// This method simplifies accumulator operations by folding
    /// constant values and eliminating redundant computations.
    pub(crate) fn fold_acc(&mut self, define_id: OpId) {
        //println!("Folding acc {define_id}");
        let Op::Define { len, .. } = self.ops[define_id].op else {
            unreachable!()
        };
        self.remove_op(define_id);
        let mut latest_stores = vec![OpId::NULL; len as usize];

        let mut remaps = Map::default();
        let mut op_id = self.head;
        while !op_id.is_null() {
            let next = self.next_op(op_id);
            match *self.at(op_id) {
                Op::Store { dst, x, index, layout } => {
                    if layout != MemLayout::Scalar {
                        continue;
                    }
                    if dst == define_id {
                        self.remove_op(op_id);
                        // x may have been removed as a previous load. If that was the case, the load was redundant
                        if self.ops.contains_key(x) {
                            let Op::Const(index) = self.ops[index].op else {
                                unreachable!()
                            };
                            let Constant::U32(index) = index else { unreachable!() };
                            latest_stores[index as usize] = x;
                            //println!("Latest stores = {latest_stores:?}");
                        }
                        op_id = next;
                        continue;
                    }
                }
                Op::Load { src, index, .. } if src == define_id => {
                    self.remove_op(op_id);
                    let Op::Const(index) = self.ops[index].op else {
                        unreachable!()
                    };
                    let Constant::U32(index) = index else { unreachable!() };
                    remaps.insert(op_id, latest_stores[index as usize]);
                    op_id = next;
                    continue;
                }
                _ => {}
            }
            self.ops[op_id].op.remap_params(&remaps);
            op_id = next;
        }

        self.verify();
    }

    /// Delete empty loops from the kernel.
    ///
    /// This method removes loops that don't contain any stores,
    /// reducing instruction count and improving performance.
    pub(crate) fn delete_zero_len_loops(&mut self) {
        #[cfg(feature = "time")]
        let _timer = crate::Timer::new("delete_empty_loops");

        let mut dead = Set::default();
        let mut defines_stack: Vec<Set<OpId>> = Vec::new();
        defines_stack.push(Set::default());
        let mut ops_stack: Vec<Set<OpId>> = Vec::new();
        ops_stack.push(Set::default());
        let mut delete_stack: Vec<bool> = Vec::new();
        delete_stack.push(false);

        let mut op_id = self.head;
        while !op_id.is_null() {
            match self.at(op_id) {
                Op::Loop { .. } | Op::If { .. } => {
                    ops_stack.push(Set::default());
                    defines_stack.push(Set::default());
                    delete_stack.push(true);
                    for slice in &mut ops_stack {
                        slice.insert(op_id);
                    }
                }
                Op::Define { ro, .. } => {
                    if !ro {
                        defines_stack.last_mut().unwrap().insert(op_id);
                    }
                }
                Op::Store { dst, .. } => {
                    for (i, defines_set) in defines_stack.iter().enumerate().take(defines_stack.len() - 1) {
                        if defines_set.contains(dst) {
                            for delete_flag in delete_stack.iter_mut().skip(i + 1) {
                                *delete_flag = false;
                            }
                            break;
                        }
                    }
                    for slice in &mut ops_stack {
                        slice.insert(op_id);
                    }
                }
                Op::EndLoop | Op::EndIf => {
                    for slice in &mut ops_stack {
                        slice.insert(op_id);
                    }
                    defines_stack.pop();
                    if let Some(delete_slice) = delete_stack.pop() {
                        if delete_slice {
                            dead.extend(ops_stack.pop().unwrap());
                        } else {
                            ops_stack.pop();
                        }
                    } else {
                        ops_stack.pop();
                    }
                }
                _ => {
                    for slice in &mut ops_stack {
                        slice.insert(op_id);
                    }
                }
            }
            op_id = self.next_op(op_id);
        }
        for op_id in dead {
            self.remove_op(op_id);
        }

        self.verify();
    }

    /// Eliminate dead code from the kernel.
    ///
    /// This method removes unused operations from the kernel,
    /// including operations that are not referenced by any output.
    ///
    /// It uses data flow analysis to determine which operations
    /// are dead and can be safely removed.
    pub fn dead_code_elimination(&mut self) {
        #[cfg(feature = "time")]
        let _timer = crate::Timer::new("dead_code_elimination");

        let mut params = Vec::new();
        let mut visited = Set::default();
        // We go backward from Stores and gather all needed ops, but we can't remove Loop and Define ops
        for (op_id, op) in self.iter_unordered() {
            if matches!(
                op,
                Op::Store { .. }
                    | Op::Define { .. }
                    | Op::Wmma { .. }
                    | Op::Barrier { .. }
                    | Op::If { .. }
                    | Op::EndIf
                    | Op::Loop { .. }
                    | Op::EndLoop
                    | Op::StoreView { .. }
            ) {
                params.push(op_id);
            }
        }
        while let Some(op_id) = params.pop() {
            if visited.insert(op_id) {
                params.extend(self.at(op_id).parameters());
            }
        }
        //self.ops.retain(|op_id| visited.contains(op_id));
        #[allow(clippy::needless_collect)] // REASON - borrowck
        for op_id in self.ops.ids().collect::<Vec<_>>() {
            if !visited.contains(&op_id) {
                self.remove_op(op_id);
            }
        }

        self.verify();
    }

    /// Eliminate common subexpressions from the kernel.
    ///
    /// This method identifies and eliminates duplicate computations
    /// in the kernel by tracking which operations are needed by
    /// stores and removing operations that are not referenced.
    pub fn common_subexpression_elimination(&mut self) {
        #[cfg(feature = "time")]
        let _timer = crate::Timer::new("common_subexpression_elimination");
        let mut stack: Vec<Map<Op, OpId>> = Vec::with_capacity(10);
        stack.push(Map::with_capacity_and_hasher(20, BuildHasherDefault::default()));

        let mut stored_stack: Vec<Set<OpId>> = Vec::with_capacity(10);
        stored_stack.push(Set::with_capacity_and_hasher(10, BuildHasherDefault::default()));

        let mut remaps = Map::with_capacity_and_hasher(10, BuildHasherDefault::default());
        let mut op_id = self.head;
        while !op_id.is_null() {
            match &mut self.ops[op_id].op {
                Op::Barrier { .. } | Op::Define { .. } => {} // skip define and barrier ops, these can not be deduplicated
                Op::If { .. } | Op::Loop { .. } => {
                    stack.push(Map::with_capacity_and_hasher(20, BuildHasherDefault::default()));
                    stored_stack.push(Set::with_capacity_and_hasher(10, BuildHasherDefault::default()));
                }
                Op::EndIf | Op::EndLoop => {
                    stack.pop();
                    stored_stack.pop();
                }
                &mut Op::Store { dst, .. } => {
                    stored_stack.last_mut().unwrap().insert(dst);
                }
                op => {
                    let mut remove_op = false;

                    // For Load ops, check if there's a store to the same src
                    let can_cse = if let Op::Load { src, .. } = op {
                        if stored_stack.iter().rev().any(|x| x.contains(src)) {
                            for x in stored_stack.iter_mut() {
                                x.remove(src);
                            }
                            false
                        } else {
                            true
                        }
                    } else {
                        true
                    };

                    // Remap operands BEFORE dedup check so the lookup uses
                    // post-remap OpIds, matching what's already in the map.
                    for param in op.parameters_mut() {
                        if let Some(&new_id) = remaps.get(param) {
                            *param = new_id;
                        }
                    }

                    if can_cse {
                        for loop_level in &stack {
                            if let Some(&old_op_id) = loop_level.get(op) {
                                remaps.insert(op_id, old_op_id);
                                remove_op = true;
                                break;
                            }
                        }
                    }

                    if !remove_op {
                        stack.last_mut().unwrap().insert(op.clone(), op_id);
                    }
                }
            }
            op_id = self.next_op(op_id);
        }

        self.verify();
    }

    /// Move constant operations to the beginning of the kernel.
    ///
    /// This method reorders the kernel so that constant operations
    /// appear before variable operations, which can improve
    /// instruction scheduling and performance.
    pub(crate) fn move_constants_to_beginning(&mut self) {
        #[cfg(feature = "time")]
        let _timer = crate::Timer::new("move_constants_to_beginning");
        let mut start = self.head;
        while let Op::Define { .. } = self.at(start) {
            start = self.next_op(start);
        }

        // Move Op::Const ops right after Op::Define ops
        let mut op_id = start;
        let mut start = self.prev_op(start);
        while !op_id.is_null() {
            let next = self.next_op(op_id);
            if let Op::Const(_) = self.at(op_id) {
                self.move_op_after(op_id, start);
                start = op_id;
            }
            op_id = next;
        }

        // Find position after last Op::Const (skip past all defines and consts)
        let mut start = self.head;
        while let Op::Define { .. } | Op::Const(_) = self.at(start) {
            start = self.next_op(start);
        }

        // Move Op::Index ops right after Op::Const ops
        let mut op_id = start;
        let mut start = self.prev_op(start);
        while !op_id.is_null() {
            let next = self.next_op(op_id);
            if let Op::Index { .. } = self.at(op_id) {
                self.move_op_after(op_id, start);
                start = op_id;
            }
            op_id = next;
        }

        #[cfg(debug_assertions)]
        self.verify();
    }

    fn constants_equal(&self, a: OpId, b: OpId) -> bool {
        let a = self.at(a);
        let b = self.at(b);
        match (a, b) {
            (Op::Const(ca), Op::Const(cb)) => {
                let a_val: Option<i64> = match ca {
                    Constant::U32(x) => Some(*x as i64),
                    Constant::I32(x) => Some(*x as i64),
                    Constant::U64(x) | Constant::I64(x) => Some(i64::from_le_bytes(*x)),
                    _ => None,
                };
                let b_val: Option<i64> = match cb {
                    Constant::U32(x) => Some(*x as i64),
                    Constant::I32(x) => Some(*x as i64),
                    Constant::U64(x) | Constant::I64(x) => Some(i64::from_le_bytes(*x)),
                    _ => None,
                };
                match (a_val, b_val) {
                    (Some(av), Some(bv)) => av == bv,
                    _ => false,
                }
            }
            _ => false,
        }
    }

    /// Unfold power operations using log2 and exp2.
    ///
    /// This method replaces `x^y` with `exp2(y * log2(x))`,
    /// which can be more efficiently compiled by the backend.
    ///
    /// The transformation is based on the mathematical identity:
    /// `x^y = exp2(log2(x) * y)`
    pub(crate) fn unfold_pows(&mut self) {
        let mut op_id = self.head;
        while !op_id.is_null() {
            if let &Op::Binary { x, y, bop } = self.at(op_id) {
                if bop == BOp::Pow {
                    let x = self.insert_before(op_id, Op::Unary { x, uop: UOp::Log2 });
                    let x = self.insert_before(op_id, Op::Binary { x, y, bop: BOp::Mul });
                    self.ops[op_id].op = Op::Unary { x, uop: UOp::Exp2 };
                }
            }
            op_id = self.next_op(op_id);
        }

        self.verify();
    }
}