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
//! Network topology analysis for distributed operations

use std::collections::HashMap;
use std::net::IpAddr;
use std::time::Instant;
use crate::distributed::config::CompressionAlgorithm;

/// Network topology analyzer
#[derive(Debug)]
pub struct NetworkTopologyAnalyzer {
    /// Current topology
    current_topology: NetworkTopology,
    /// Topology history
    topology_history: Vec<TopologySnapshot>,
    /// Analysis algorithms
    analysis_algorithms: HashMap<String, TopologyAnalysisAlgorithm>,
    /// Optimization recommendations
    optimization_recommendations: Vec<TopologyOptimization>,
}

/// Network topology representation
#[derive(Debug, Clone)]
pub struct NetworkTopology {
    /// Nodes in the network
    nodes: HashMap<usize, NetworkNode>,
    /// Connections between nodes
    connections: HashMap<(usize, usize), ConnectionInfo>,
    /// Routing table
    routing_table: HashMap<(usize, usize), Vec<usize>>,
}

/// Information about a network node
#[derive(Debug, Clone)]
pub struct NetworkNode {
    node_id: usize,
    ip_address: IpAddr,
    port: u16,
    capabilities: NodeCapabilities,
    location: Option<GeographicLocation>,
}

/// Capabilities of a network node
#[derive(Debug, Clone)]
pub struct NodeCapabilities {
    max_bandwidth: u64,
    supported_protocols: Vec<CommunicationProtocol>,
    compression_support: Vec<CompressionAlgorithm>,
    encryption_support: bool,
}

/// Communication protocols
#[derive(Debug, Clone, Copy)]
pub enum CommunicationProtocol {
    TCP,
    UDP,
    RDMA,
    InfiniBand,
    Custom,
}

/// Geographic location for topology-aware placement
#[derive(Debug, Clone)]
pub struct GeographicLocation {
    latitude: f64,
    longitude: f64,
    datacenter: Option<String>,
    region: Option<String>,
}

/// Connection information between nodes
#[derive(Debug, Clone)]
pub struct ConnectionInfo {
    bandwidth: u64,
    latency: f64,
    reliability: f64,
    cost: f64,
    protocol: CommunicationProtocol,
}

/// Snapshot of network topology at a point in time
#[derive(Debug, Clone)]
pub struct TopologySnapshot {
    timestamp: Instant,
    topology: NetworkTopology,
    performance_metrics: HashMap<String, f64>,
    detected_issues: Vec<TopologyIssue>,
}

/// Issue detected in network topology
#[derive(Debug, Clone)]
pub struct TopologyIssue {
    issue_type: TopologyIssueType,
    severity: IssueSeverity,
    affected_nodes: Vec<usize>,
    description: String,
    suggested_fixes: Vec<String>,
}

/// Types of topology issues
#[derive(Debug, Clone, Copy)]
pub enum TopologyIssueType {
    Bottleneck,
    SinglePointOfFailure,
    SuboptimalRouting,
    LoadImbalance,
    LatencyHotspot,
    BandwidthConstrain,
}

/// Severity of topology issues
#[derive(Debug, Clone, Copy, PartialEq, Eq, PartialOrd, Ord)]
pub enum IssueSeverity {
    Low,
    Medium,
    High,
    Critical,
}

/// Algorithm for analyzing network topology
#[derive(Debug)]
pub enum TopologyAnalysisAlgorithm {
    ShortestPath,
    MaxFlow,
    CentralityAnalysis,
    CommunityDetection,
    LoadBalanceAnalysis,
    FailureImpactAnalysis,
}

/// Optimization recommendation for topology
#[derive(Debug, Clone)]
pub struct TopologyOptimization {
    optimization_type: OptimizationType,
    expected_improvement: f64,
    implementation_cost: f64,
    risk_level: RiskLevel,
    description: String,
    implementation_steps: Vec<String>,
}

/// Types of topology optimizations
#[derive(Debug, Clone, Copy)]
pub enum OptimizationType {
    AddConnection,
    RemoveConnection,
    RebalanceLoad,
    UpgradeBandwidth,
    RerouteTraffic,
    AddRedundancy,
}

/// Risk level for optimizations
#[derive(Debug, Clone, Copy, PartialEq, Eq, PartialOrd, Ord)]
pub enum RiskLevel {
    Low,
    Medium,
    High,
    VeryHigh,
}

impl NetworkTopologyAnalyzer {
    /// Create a new network topology analyzer
    pub fn new() -> Self {
        Self {
            current_topology: NetworkTopology::new(),
            topology_history: Vec::new(),
            analysis_algorithms: HashMap::new(),
            optimization_recommendations: Vec::new(),
        }
    }

    /// Update current topology
    pub fn update_topology(&mut self, topology: NetworkTopology) {
        // Save current topology to history
        let snapshot = TopologySnapshot {
            timestamp: Instant::now(),
            topology: self.current_topology.clone(),
            performance_metrics: HashMap::new(),
            detected_issues: Vec::new(),
        };
        self.topology_history.push(snapshot);

        // Update current topology
        self.current_topology = topology;

        // Analyze the new topology
        self.analyze_topology();
    }

    /// Analyze current topology
    fn analyze_topology(&mut self) {
        // Detect issues in the topology
        let issues = self.detect_topology_issues();

        // Generate optimization recommendations
        self.optimization_recommendations = self.generate_optimizations(&issues);

        // Update the latest snapshot with detected issues
        if let Some(latest_snapshot) = self.topology_history.last_mut() {
            latest_snapshot.detected_issues = issues;
        }
    }

    /// Detect issues in the current topology
    fn detect_topology_issues(&self) -> Vec<TopologyIssue> {
        let mut issues = Vec::new();

        // Check for bottlenecks
        issues.extend(self.detect_bottlenecks());

        // Check for single points of failure
        issues.extend(self.detect_single_points_of_failure());

        // Check for load imbalances
        issues.extend(self.detect_load_imbalances());

        issues
    }

    /// Detect network bottlenecks
    fn detect_bottlenecks(&self) -> Vec<TopologyIssue> {
        let mut bottlenecks = Vec::new();

        for ((source, dest), connection) in &self.current_topology.connections {
            // Check if bandwidth utilization is high
            if connection.bandwidth < 1000000 { // Less than 1 Gbps
                bottlenecks.push(TopologyIssue {
                    issue_type: TopologyIssueType::Bottleneck,
                    severity: IssueSeverity::Medium,
                    affected_nodes: vec![*source, *dest],
                    description: format!("Low bandwidth connection between nodes {} and {}", source, dest),
                    suggested_fixes: vec!["Upgrade connection bandwidth".to_string()],
                });
            }
        }

        bottlenecks
    }

    /// Detect single points of failure
    fn detect_single_points_of_failure(&self) -> Vec<TopologyIssue> {
        let mut spofs = Vec::new();

        // Check each node's connectivity
        for (&node_id, _node) in &self.current_topology.nodes {
            let connections_count = self.current_topology.connections.iter()
                .filter(|((source, dest), _)| *source == node_id || *dest == node_id)
                .count();

            if connections_count < 2 {
                spofs.push(TopologyIssue {
                    issue_type: TopologyIssueType::SinglePointOfFailure,
                    severity: IssueSeverity::High,
                    affected_nodes: vec![node_id],
                    description: format!("Node {} has insufficient redundant connections", node_id),
                    suggested_fixes: vec!["Add redundant connections".to_string()],
                });
            }
        }

        spofs
    }

    /// Detect load imbalances
    fn detect_load_imbalances(&self) -> Vec<TopologyIssue> {
        let mut imbalances = Vec::new();

        // Simplified load balance check based on connection count
        let node_connection_counts: HashMap<usize, usize> = self.current_topology.nodes.keys()
            .map(|&node_id| {
                let count = self.current_topology.connections.iter()
                    .filter(|((source, dest), _)| *source == node_id || *dest == node_id)
                    .count();
                (node_id, count)
            })
            .collect();

        if let (Some(max_connections), Some(min_connections)) = (
            node_connection_counts.values().max(),
            node_connection_counts.values().min()
        ) {
            let imbalance_ratio = *max_connections as f64 / (*min_connections as f64).max(1.0);

            if imbalance_ratio > 2.0 {
                imbalances.push(TopologyIssue {
                    issue_type: TopologyIssueType::LoadImbalance,
                    severity: IssueSeverity::Medium,
                    affected_nodes: self.current_topology.nodes.keys().copied().collect(),
                    description: "Significant load imbalance detected across nodes".to_string(),
                    suggested_fixes: vec!["Rebalance connections across nodes".to_string()],
                });
            }
        }

        imbalances
    }

    /// Generate optimization recommendations
    fn generate_optimizations(&self, issues: &[TopologyIssue]) -> Vec<TopologyOptimization> {
        let mut optimizations = Vec::new();

        for issue in issues {
            match issue.issue_type {
                TopologyIssueType::Bottleneck => {
                    optimizations.push(TopologyOptimization {
                        optimization_type: OptimizationType::UpgradeBandwidth,
                        expected_improvement: 0.5,
                        implementation_cost: 1000.0,
                        risk_level: RiskLevel::Low,
                        description: "Upgrade bandwidth to resolve bottleneck".to_string(),
                        implementation_steps: vec![
                            "Identify specific connection to upgrade".to_string(),
                            "Schedule maintenance window".to_string(),
                            "Upgrade hardware/configuration".to_string(),
                        ],
                    });
                }
                TopologyIssueType::SinglePointOfFailure => {
                    optimizations.push(TopologyOptimization {
                        optimization_type: OptimizationType::AddRedundancy,
                        expected_improvement: 0.8,
                        implementation_cost: 2000.0,
                        risk_level: RiskLevel::Medium,
                        description: "Add redundant connections to eliminate single point of failure".to_string(),
                        implementation_steps: vec![
                            "Design redundant topology".to_string(),
                            "Provision additional hardware".to_string(),
                            "Configure failover mechanisms".to_string(),
                        ],
                    });
                }
                TopologyIssueType::LoadImbalance => {
                    optimizations.push(TopologyOptimization {
                        optimization_type: OptimizationType::RebalanceLoad,
                        expected_improvement: 0.3,
                        implementation_cost: 500.0,
                        risk_level: RiskLevel::Low,
                        description: "Rebalance load distribution across nodes".to_string(),
                        implementation_steps: vec![
                            "Analyze current load patterns".to_string(),
                            "Redistribute connections".to_string(),
                            "Monitor performance improvements".to_string(),
                        ],
                    });
                }
                _ => {} // Handle other issue types as needed
            }
        }

        optimizations
    }

    /// Get current topology
    pub fn get_current_topology(&self) -> &NetworkTopology {
        &self.current_topology
    }

    /// Get topology history
    pub fn get_topology_history(&self) -> &[TopologySnapshot] {
        &self.topology_history
    }

    /// Get optimization recommendations
    pub fn get_optimization_recommendations(&self) -> &[TopologyOptimization] {
        &self.optimization_recommendations
    }

    /// Calculate shortest path between nodes
    pub fn shortest_path(&self, source: usize, destination: usize) -> Option<Vec<usize>> {
        // Simplified shortest path implementation
        if let Some(path) = self.current_topology.routing_table.get(&(source, destination)) {
            Some(path.clone())
        } else {
            None
        }
    }

    /// Calculate network centrality metrics
    pub fn calculate_centrality(&self) -> HashMap<usize, f64> {
        let mut centrality = HashMap::new();

        for &node_id in self.current_topology.nodes.keys() {
            let degree = self.current_topology.connections.iter()
                .filter(|((source, dest), _)| *source == node_id || *dest == node_id)
                .count();

            centrality.insert(node_id, degree as f64);
        }

        centrality
    }
}

impl NetworkTopology {
    /// Create a new empty network topology
    pub fn new() -> Self {
        Self {
            nodes: HashMap::new(),
            connections: HashMap::new(),
            routing_table: HashMap::new(),
        }
    }

    /// Add a node to the topology
    pub fn add_node(&mut self, node: NetworkNode) {
        self.nodes.insert(node.node_id, node);
    }

    /// Add a connection between nodes
    pub fn add_connection(&mut self, source: usize, destination: usize, connection: ConnectionInfo) {
        self.connections.insert((source, destination), connection);
    }

    /// Remove a node from the topology
    pub fn remove_node(&mut self, node_id: usize) {
        self.nodes.remove(&node_id);

        // Remove all connections involving this node
        self.connections.retain(|(source, dest), _| *source != node_id && *dest != node_id);

        // Update routing table
        self.routing_table.retain(|(source, dest), _| *source != node_id && *dest != node_id);
    }

    /// Get node information
    pub fn get_node(&self, node_id: usize) -> Option<&NetworkNode> {
        self.nodes.get(&node_id)
    }

    /// Get connection information
    pub fn get_connection(&self, source: usize, destination: usize) -> Option<&ConnectionInfo> {
        self.connections.get(&(source, destination))
    }

    /// Get all nodes
    pub fn get_nodes(&self) -> &HashMap<usize, NetworkNode> {
        &self.nodes
    }

    /// Get all connections
    pub fn get_connections(&self) -> &HashMap<(usize, usize), ConnectionInfo> {
        &self.connections
    }
}