scirs2-linalg 0.4.2

Linear algebra module for SciRS2 (scirs2-linalg)
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
//! Distributed computation engine for linear algebra operations
//!
//! This module provides the core computation engine that orchestrates
//! distributed linear algebra operations, integrating SIMD acceleration,
//! load balancing, and fault tolerance.

use crate::error::{LinalgError, LinalgResult};
use scirs2_core::ndarray::{Array2, ArrayView2};
use scirs2_core::numeric::Float;
use std::sync::Arc;
use std::time::{Duration, Instant};

use super::communication::DistributedCommunicator;
use super::coordination::DistributedCoordinator;
use super::distribution::LoadBalancer;
use super::matrix::DistributedMatrix;

/// Distributed computation engine
pub struct DistributedComputationEngine {
    /// Communicator for inter-node communication
    communicator: Arc<DistributedCommunicator>,
    /// Coordinator for synchronization
    coordinator: Arc<DistributedCoordinator>,
    /// Load balancer
    load_balancer: Arc<std::sync::Mutex<LoadBalancer>>,
    /// Configuration
    config: super::DistributedConfig,
    /// Performance metrics
    metrics: Arc<std::sync::Mutex<ComputationMetrics>>,
}

impl DistributedComputationEngine {
    /// Create a new distributed computation engine
    pub fn new(config: super::DistributedConfig) -> LinalgResult<Self> {
        let communicator = Arc::new(DistributedCommunicator::new(&_config)?);
        let coordinator = Arc::new(DistributedCoordinator::new(&_config)?);
        let load_balancer = Arc::new(std::sync::Mutex::new(LoadBalancer::new(&_config)?));
        let metrics = Arc::new(std::sync::Mutex::new(ComputationMetrics::new()));
        
        Ok(Self {
            communicator,
            coordinator,
            load_balancer,
            config: config,
            metrics,
        })
    }
    
    /// Execute distributed matrix multiplication with optimization
    pub fn execute_matmul<T>(
        &self,
        a: &DistributedMatrix<T>,
        b: &DistributedMatrix<T>,
    ) -> LinalgResult<DistributedMatrix<T>>
    where
        T: Float + Send + Sync + serde::Serialize + for<'de>, serde::Deserialize<'de> + 'static,
    {
        let start_time = Instant::now();
        
        // Pre-computation optimization
        self.optimize_computation_layout(a, b)?;
        
        // Execute the multiplication
        let result = if self.config.enable_simd {
            self.execute_simd_matmul(a, b)?
        } else {
            a.multiply(b)?
        };
        
        // Post-computation cleanup and metrics
        let elapsed = start_time.elapsed();
        self.record_computation_metrics("matmul", elapsed);
        
        Ok(result)
    }
    
    /// Execute distributed matrix operation with load balancing
    pub fn execute_with_load_balancing<T, F, R>(
        &self,
        operation: F,
        inputs: &[&DistributedMatrix<T>],
    ) -> LinalgResult<R>
    where
        T: Float + Send + Sync + serde::Serialize + for<'de>, serde::Deserialize<'de> + 'static,
        F: Fn(&[&DistributedMatrix<T>]) -> LinalgResult<R> + Send + Sync,
        R: Send + Sync,
    {
        let start_time = Instant::now();
        
        // Check load balance
        let mut load_balancer = self.load_balancer.lock().expect("Operation failed");
        if let Some(plan) = load_balancer.suggest_redistribution() {
            // Implement redistribution if needed
            drop(load_balancer);
            self.implement_redistribution(plan)?;
        } else {
            drop(load_balancer);
        }
        
        // Execute operation
        let result = operation(inputs)?;
        
        // Record performance
        let elapsed = start_time.elapsed();
        let mut load_balancer = self.load_balancer.lock().expect("Operation failed");
        load_balancer.record_workload(self.config.node_rank, elapsed.as_millis() as f64);
        
        Ok(result)
    }
    
    /// Execute computation with fault tolerance
    pub fn execute_with_fault_tolerance<T, F, R>(
        &self,
        operation: F,
        max_retries: usize,
    ) -> LinalgResult<R>
    where
        F: Fn() -> LinalgResult<R> + Send + Sync,
        R: Send + Sync,
    {
        let mut _retries = 0;
        
        loop {
            match operation() {
                Ok(result) => return Ok(result),
                Err(e) => {
                    if _retries >= max_retries {
                        return Err(e);
                    }
                    
                    // Handle potential node failure
                    if let LinalgError::CommunicationError(_) = e {
                        self.handle_communication_failure()?;
                    }
                    
                    _retries += 1;
                    std::thread::sleep(Duration::from_millis(100 * _retries as u64));
                }
            }
        }
    }
    
    /// Execute parallel computation across multiple operations
    pub fn execute_parallel<T, F, R>(
        &self,
        operations: Vec<F>,
    ) -> LinalgResult<Vec<R>>
    where
        F: Fn() -> LinalgResult<R> + Send + Sync + 'static,
        R: Send + Sync + 'static,
        T: Send + Sync + 'static,
    {
        use scirs2_core::parallel_ops::*;
        
        // Execute operations in parallel using scirs2-core parallel operations
        let results: Result<Vec<R>, LinalgError> = 
            parallel_map(&operations, |op| op())
                .into_iter()
                .collect();
        
        results
    }
    
    /// Optimize memory usage for computation
    pub fn optimize_memory_usage<T>(&self, matrices: &[&DistributedMatrix<T>]) -> LinalgResult<()>
    where
        T: Float + Send + Sync,
    {
        // Calculate memory requirements
        let total_memory: usize = matrices
            .iter()
            .map(|m| {
                let (rows, cols) = m.localshape();
                rows * cols * std::mem::size_of::<T>()
            })
            .sum();
        
        // Check against memory limit
        if let Some(limit) = self.config.memory_limit_bytes {
            if total_memory > limit {
                return Err(LinalgError::MemoryError(format!(
                    "Memory usage {} exceeds limit {}",
                    total_memory, limit
                )));
            }
        }
        
        // Implement memory optimization strategies
        self.implement_memory_optimization(total_memory)?;
        
        Ok(())
    }
    
    /// Get computation performance metrics
    pub fn get_metrics(&self) -> ComputationMetrics {
        self.metrics.lock().expect("Operation failed").clone()
    }
    
    /// Reset performance metrics
    pub fn reset_metrics(&self) {
        let mut metrics = self.metrics.lock().expect("Operation failed");
        *metrics = ComputationMetrics::new();
    }
    
    // Private helper methods
    
    fn optimize_computation_layout<T>(
        &self,
        a: &DistributedMatrix<T>,
        b: &DistributedMatrix<T>,
    ) -> LinalgResult<()>
    where
        T: Float,
    {
        // Analyze matrix shapes and distributions for optimization opportunities
        let (m, k) = a.globalshape();
        let (k2, n) = b.globalshape();
        
        // Check if redistribution would be beneficial
        let computation_cost = m * k * n;
        let communication_cost = (m * k + k * n) * self.config.num_nodes;
        
        if communication_cost < computation_cost / 10 {
            // Communication cost is low relative to computation, consider redistribution
            // This is a simplified heuristic - real implementation would be more sophisticated
        }
        
        Ok(())
    }
    
    fn execute_simd_matmul<T>(
        &self,
        a: &DistributedMatrix<T>,
        b: &DistributedMatrix<T>,
    ) -> LinalgResult<DistributedMatrix<T>>
    where
        T: Float + Send + Sync + serde::Serialize + for<'de>, serde::Deserialize<'de> + 'static,
    {
        // Use SIMD-accelerated GEMM for local computations
        a.gemm_simd(b, T::one(), T::zero())
    }
    
    fn implement_redistribution(
        &self_plan: super::distribution::RedistributionPlan,
    ) -> LinalgResult<()> {
        // Implement data redistribution based on the _plan
        // This would involve:
        // 1. Coordinating with other nodes
        // 2. Transferring data
        // 3. Updating local distributions
        
        self.coordinator.barrier()?;
        Ok(())
    }
    
    fn handle_communication_failure(&self) -> LinalgResult<()> {
        // Detect failed nodes
        // Implement recovery strategy
        // Update computation topology
        
        // For now, just synchronize remaining nodes
        self.coordinator.barrier()
    }
    
    fn implement_memory_optimization(&self, totalmemory: usize) -> LinalgResult<()> {
        // Implement _memory optimization strategies:
        // 1. Data compression
        // 2. Out-of-core computation
        // 3. Memory-efficient algorithms
        
        let mut metrics = self.metrics.lock().expect("Operation failed");
        metrics.peak_memory_usage = metrics.peak_memory_usage.max(total_memory);
        
        Ok(())
    }
    
    fn record_computation_metrics(&self, operation: &str, duration: Duration) {
        let mut metrics = self.metrics.lock().expect("Operation failed");
        metrics.operation_count += 1;
        metrics.total_computation_time += duration;
        metrics.operations.insert(operation.to_string(), 
            metrics.operations.get(operation).unwrap_or(&0) + 1);
    }
}

/// Performance metrics for distributed computations
#[derive(Debug, Clone)]
pub struct ComputationMetrics {
    /// Total number of operations performed
    pub operation_count: usize,
    /// Total computation time
    pub total_computation_time: Duration,
    /// Peak memory usage in bytes
    pub peak_memory_usage: usize,
    /// Operations by type
    pub operations: std::collections::HashMap<String, usize>,
    /// Load balancing efficiency
    pub load_balance_efficiency: f64,
    /// Communication overhead ratio
    pub communication_overhead: f64,
    /// SIMD utilization ratio
    pub simd_utilization: f64,
}

impl ComputationMetrics {
    /// Create new metrics tracker
    pub fn new() -> Self {
        Self {
            operation_count: 0,
            total_computation_time: Duration::default(),
            peak_memory_usage: 0,
            operations: std::collections::HashMap::new(),
            load_balance_efficiency: 1.0,
            communication_overhead: 0.0,
            simd_utilization: 0.0,
        }
    }
    
    /// Calculate average operation time
    pub fn avg_operation_time(&self) -> Duration {
        if self.operation_count > 0 {
            self.total_computation_time / self.operation_count as u32
        } else {
            Duration::default()
        }
    }
    
    /// Calculate operations per second
    pub fn operations_per_second(&self) -> f64 {
        if self.total_computation_time.as_secs_f64() > 0.0 {
            self.operation_count as f64 / self.total_computation_time.as_secs_f64()
        } else {
            0.0
        }
    }
    
    /// Get memory efficiency (operations per byte)
    pub fn memory_efficiency(&self) -> f64 {
        if self.peak_memory_usage > 0 {
            self.operation_count as f64 / self.peak_memory_usage as f64
        } else {
            0.0
        }
    }
}

impl Default for ComputationMetrics {
    fn default() -> Self {
        Self::new()
    }
}

/// Computation scheduling strategies
#[derive(Debug, Clone, Copy)]
pub enum SchedulingStrategy {
    /// First-come, first-served
    FCFS,
    /// Shortest job first
    SJF,
    /// Priority-based scheduling
    Priority,
    /// Load-balanced scheduling
    LoadBalanced,
}

/// Computation scheduler for managing distributed operations
pub struct ComputationScheduler {
    /// Scheduling strategy
    strategy: SchedulingStrategy,
    /// Operation queue
    operation_queue: std::sync::Mutex<std::collections::VecDeque<ScheduledOperation>>,
    /// Current node capabilities
    node_capabilities: std::collections::HashMap<usize, f64>,
}

impl ComputationScheduler {
    /// Create a new computation scheduler
    pub fn new(strategy: SchedulingStrategy) -> Self {
        Self {
            strategy,
            operation_queue: std::sync::Mutex::new(std::collections::VecDeque::new()),
            node_capabilities: std::collections::HashMap::new(),
        }
    }
    
    /// Schedule an operation for execution
    pub fn schedule_operation(&self, operation: ScheduledOperation) {
        let mut queue = self.operation_queue.lock().expect("Operation failed");
        
        match self.strategy {
            SchedulingStrategy::FCFS => {
                queue.push_back(operation);
            }
            SchedulingStrategy::SJF => {
                // Insert in order of estimated duration
                let position = queue
                    .iter()
                    .position(|op| op.estimated_duration > operation.estimated_duration)
                    .unwrap_or(queue.len());
                queue.insert(position, operation);
            }
            SchedulingStrategy::Priority => {
                // Insert in order of priority
                let position = queue
                    .iter()
                    .position(|op| op.priority < operation.priority)
                    .unwrap_or(queue.len());
                queue.insert(position, operation);
            }
            SchedulingStrategy::LoadBalanced => {
                // Consider load balancing when scheduling
                queue.push_back(operation);
            }
        }
    }
    
    /// Get next operation to execute
    pub fn next_operation(&self) -> Option<ScheduledOperation> {
        let mut queue = self.operation_queue.lock().expect("Operation failed");
        queue.pop_front()
    }
    
    /// Update node capability
    pub fn update_capability(&mut self, noderank: usize, capability: f64) {
        self.node_capabilities.insert(node_rank, capability);
    }
}

/// A scheduled operation
#[derive(Debug, Clone)]
pub struct ScheduledOperation {
    /// Operation identifier
    pub id: String,
    /// Operation type
    pub operation_type: String,
    /// Estimated duration
    pub estimated_duration: Duration,
    /// Priority level (higher = more important)
    pub priority: i32,
    /// Required memory
    pub memory_requirement: usize,
    /// Target nodes for execution
    pub target_nodes: Vec<usize>,
}

impl ScheduledOperation {
    /// Create a new scheduled operation
    pub fn new(
        id: String,
        operation_type: String,
        estimated_duration: Duration,
        priority: i32,
    ) -> Self {
        Self {
            id,
            operation_type,
            estimated_duration,
            priority,
            memory_requirement: 0,
            target_nodes: Vec::new(),
        }
    }
    
    /// Set memory requirement
    pub fn with_memory_requirement(mut self, bytes: usize) -> Self {
        self.memory_requirement = bytes;
        self
    }
    
    /// Set target nodes
    pub fn with_target_nodes(mut self, nodes: Vec<usize>) -> Self {
        self.target_nodes = nodes;
        self
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    use super::super::{DistributedConfig, DistributionStrategy};
    
    #[test]
    fn test_computation_engine_creation() {
        let config = DistributedConfig::default()
            .with_num_nodes(2)
            .with_node_rank(0);
        
        let engine = DistributedComputationEngine::new(config).expect("Operation failed");
        let metrics = engine.get_metrics();
        
        assert_eq!(metrics.operation_count, 0);
        assert_eq!(metrics.total_computation_time, Duration::default());
    }
    
    #[test]
    fn test_computation_metrics() {
        let mut metrics = ComputationMetrics::new();
        
        metrics.operation_count = 10;
        metrics.total_computation_time = Duration::from_secs(5);
        metrics.peak_memory_usage = 1024;
        
        assert_eq!(metrics.avg_operation_time(), Duration::from_millis(500));
        assert_eq!(metrics.operations_per_second(), 2.0);
        assert!(metrics.memory_efficiency() > 0.0);
    }
    
    #[test]
    fn test_computation_scheduler() {
        let scheduler = ComputationScheduler::new(SchedulingStrategy::SJF);
        
        let op1 = ScheduledOperation::new(
            "op1".to_string(),
            "matmul".to_string(),
            Duration::from_secs(3),
            1,
        );
        
        let op2 = ScheduledOperation::new(
            "op2".to_string(),
            "transpose".to_string(),
            Duration::from_secs(1),
            2,
        );
        
        scheduler.schedule_operation(op1);
        scheduler.schedule_operation(op2);
        
        // With SJF, shorter operation should come first
        let next = scheduler.next_operation().expect("Operation failed");
        assert_eq!(next.id, "op2");
    }
    
    #[test]
    fn test_scheduled_operation_builder() {
        let op = ScheduledOperation::new(
            "test_op".to_string(),
            "matmul".to_string(),
            Duration::from_secs(2),
            5,
        )
        .with_memory_requirement(1024)
        .with_target_nodes(vec![0, 1, 2]);
        
        assert_eq!(op.memory_requirement, 1024);
        assert_eq!(op.target_nodes, vec![0, 1, 2]);
        assert_eq!(op.priority, 5);
    }
}