mathhook-core 0.2.0

Core mathematical engine for MathHook - expressions, algebra, and solving
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
//! GPU Acceleration for MathHook
//!
//! This module provides GPU acceleration for computationally intensive mathematical operations
//! using WebGPU for cross-platform compatibility and optional CUDA for maximum performance.

use std::sync::{Arc, OnceLock};

/// GPU acceleration backend types
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum GpuBackend {
    /// No GPU acceleration available
    None,
    /// WebGPU-based acceleration (cross-platform)
    WebGpu,
    /// CUDA-based acceleration (NVIDIA only, maximum performance)
    #[cfg(feature = "cuda")]
    Cuda,
}

/// GPU acceleration capabilities and status
#[derive(Debug, Clone)]
pub struct GpuCapabilities {
    /// Available backend
    pub backend: GpuBackend,
    /// Device name
    pub device_name: String,
    /// Available memory in bytes
    pub memory_bytes: u64,
    /// Maximum workgroup size
    pub max_workgroup_size: u32,
    /// Whether double precision is supported
    pub supports_f64: bool,
}

/// GPU operation types that can be accelerated
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum GpuOperation {
    /// Bulk arithmetic operations (addition, multiplication)
    BulkArithmetic,
    /// Matrix operations (multiplication, determinant)
    MatrixOperations,
    /// Polynomial evaluation
    PolynomialEvaluation,
    /// Fourier transforms
    FourierTransform,
    /// Large expression simplification
    ExpressionSimplification,
}

/// GPU acceleration thresholds for different operations
#[derive(Debug, Clone)]
pub struct GpuThresholds {
    /// Minimum elements for bulk arithmetic GPU acceleration
    pub bulk_arithmetic_threshold: usize,
    /// Minimum matrix size for GPU acceleration
    pub matrix_threshold: usize,
    /// Minimum polynomial degree for GPU acceleration
    pub polynomial_threshold: usize,
}

impl Default for GpuThresholds {
    fn default() -> Self {
        Self {
            bulk_arithmetic_threshold: 10000, // 10K elements
            matrix_threshold: 100,            // 100x100 matrices
            polynomial_threshold: 1000,       // Degree 1000 polynomials
        }
    }
}

/// GPU acceleration manager
pub struct GpuAccelerator {
    capabilities: Option<GpuCapabilities>,
    thresholds: GpuThresholds,
    #[cfg(feature = "webgpu")]
    _webgpu_context: Option<WebGpuContext>,
    #[cfg(feature = "cuda")]
    _cuda_context: Option<CudaContext>,
}

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

impl GpuAccelerator {
    /// Create a new GPU accelerator with automatic backend detection
    pub fn new() -> Self {
        let mut accelerator = Self {
            capabilities: None,
            thresholds: GpuThresholds::default(),
            #[cfg(feature = "webgpu")]
            _webgpu_context: None,
            #[cfg(feature = "cuda")]
            _cuda_context: None,
        };

        accelerator.detect_capabilities();
        accelerator
    }

    /// Detect available GPU capabilities
    fn detect_capabilities(&mut self) {
        // Try CUDA first (highest performance)
        #[cfg(feature = "cuda")]
        if let Some(cuda_caps) = self.detect_cuda_capabilities() {
            self.capabilities = Some(cuda_caps);
            return;
        }

        // Try WebGPU (cross-platform)
        #[cfg(feature = "webgpu")]
        if let Some(webgpu_caps) = self.detect_webgpu_capabilities() {
            self.capabilities = Some(webgpu_caps);
            return;
        }

        // No GPU acceleration available
        self.capabilities = Some(GpuCapabilities {
            backend: GpuBackend::None,
            device_name: "CPU Only".to_owned(),
            memory_bytes: 0,
            max_workgroup_size: 1,
            supports_f64: true,
        });
    }

    /// Detect CUDA capabilities
    #[cfg(feature = "cuda")]
    fn detect_cuda_capabilities(&mut self) -> Option<GpuCapabilities> {
        // This would use cudarc to detect CUDA devices
        // For now, return None as placeholder
        None
    }

    /// Detect WebGPU capabilities
    #[cfg(feature = "webgpu")]
    fn detect_webgpu_capabilities(&mut self) -> Option<GpuCapabilities> {
        // This would use wgpu to detect WebGPU devices
        // For now, return None as placeholder
        None
    }

    /// Check if GPU acceleration should be used for an operation
    pub fn should_use_gpu(&self, operation: GpuOperation, size: usize) -> bool {
        let Some(caps) = &self.capabilities else {
            return false;
        };

        if caps.backend == GpuBackend::None {
            return false;
        }

        match operation {
            GpuOperation::BulkArithmetic => size >= self.thresholds.bulk_arithmetic_threshold,
            GpuOperation::MatrixOperations => size >= self.thresholds.matrix_threshold,
            GpuOperation::PolynomialEvaluation => size >= self.thresholds.polynomial_threshold,
            GpuOperation::FourierTransform => size >= 512, // FFT benefits from GPU at smaller sizes
            GpuOperation::ExpressionSimplification => size >= 1000, // Complex expressions
        }
    }

    /// Get GPU capabilities
    pub fn get_capabilities(&self) -> Option<&GpuCapabilities> {
        self.capabilities.as_ref()
    }

    /// Update GPU thresholds based on performance measurements
    pub fn update_thresholds(&mut self, thresholds: GpuThresholds) {
        self.thresholds = thresholds;
    }

    /// Perform GPU-accelerated bulk addition
    pub fn gpu_bulk_add(&self, values: &[f64]) -> Result<f64, GpuError> {
        if !self.should_use_gpu(GpuOperation::BulkArithmetic, values.len()) {
            return Err(GpuError::ThresholdNotMet);
        }

        let backend = self
            .capabilities
            .as_ref()
            .ok_or(GpuError::NoGpuAvailable)?
            .backend;

        match backend {
            #[cfg(feature = "webgpu")]
            GpuBackend::WebGpu => self.webgpu_bulk_add(values),
            #[cfg(feature = "cuda")]
            GpuBackend::Cuda => self.cuda_bulk_add(values),
            GpuBackend::None => Err(GpuError::NoGpuAvailable),
            #[cfg(not(feature = "webgpu"))]
            GpuBackend::WebGpu => Err(GpuError::NotImplemented(
                "WebGPU feature not enabled".to_owned(),
            )),
        }
    }

    /// Perform GPU-accelerated matrix multiplication
    pub fn gpu_matrix_multiply(
        &self,
        a: &[Vec<f64>],
        b: &[Vec<f64>],
    ) -> Result<Vec<Vec<f64>>, GpuError> {
        let size = a.len() * a[0].len() + b.len() * b[0].len();

        if !self.should_use_gpu(GpuOperation::MatrixOperations, size) {
            return Err(GpuError::ThresholdNotMet);
        }

        let backend = self
            .capabilities
            .as_ref()
            .ok_or(GpuError::NoGpuAvailable)?
            .backend;

        match backend {
            #[cfg(feature = "webgpu")]
            GpuBackend::WebGpu => self.webgpu_matrix_multiply(a, b),
            #[cfg(feature = "cuda")]
            GpuBackend::Cuda => self.cuda_matrix_multiply(a, b),
            GpuBackend::None => Err(GpuError::NoGpuAvailable),
            #[cfg(not(feature = "webgpu"))]
            GpuBackend::WebGpu => Err(GpuError::NotImplemented(
                "WebGPU feature not enabled".to_owned(),
            )),
        }
    }

    /// WebGPU bulk addition implementation
    #[cfg(feature = "webgpu")]
    fn webgpu_bulk_add(&self, _values: &[f64]) -> Result<f64, GpuError> {
        Err(GpuError::NotImplemented(
            "WebGPU bulk operations require compute shader integration (planned for 0.2)"
                .to_string(),
        ))
    }

    /// WebGPU matrix multiplication implementation
    #[cfg(feature = "webgpu")]
    fn webgpu_matrix_multiply(
        &self,
        _a: &[Vec<f64>],
        _b: &[Vec<f64>],
    ) -> Result<Vec<Vec<f64>>, GpuError> {
        Err(GpuError::NotImplemented(
            "WebGPU matrix operations require compute shader integration (planned for 0.2)"
                .to_string(),
        ))
    }

    /// CUDA bulk addition implementation
    #[cfg(feature = "cuda")]
    fn cuda_bulk_add(&self, _values: &[f64]) -> Result<f64, GpuError> {
        Err(GpuError::NotImplemented(
            "CUDA acceleration requires cudarc integration (planned for 0.2)".to_string(),
        ))
    }

    /// CUDA matrix multiplication implementation
    #[cfg(feature = "cuda")]
    fn cuda_matrix_multiply(
        &self,
        _a: &[Vec<f64>],
        _b: &[Vec<f64>],
    ) -> Result<Vec<Vec<f64>>, GpuError> {
        Err(GpuError::NotImplemented(
            "CUDA matrix operations require cudarc integration (planned for 0.2)".to_string(),
        ))
    }
}

/// WebGPU context for GPU operations
#[cfg(feature = "webgpu")]
struct WebGpuContext {
    // WebGPU device, queue, etc.
}

/// CUDA context for GPU operations
#[cfg(feature = "cuda")]
struct CudaContext {
    // CUDA context, streams, etc.
}

/// GPU acceleration errors
#[derive(Debug, Clone)]
pub enum GpuError {
    /// No GPU available for acceleration
    NoGpuAvailable,
    /// Operation size doesn't meet GPU threshold
    ThresholdNotMet,
    /// GPU operation failed
    OperationFailed(String),
    /// Feature planned for future release
    NotImplemented(String),
    /// Memory allocation failed
    OutOfMemory,
    /// Invalid input data
    InvalidInput(String),
}

impl std::fmt::Display for GpuError {
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        match self {
            GpuError::NoGpuAvailable => write!(f, "No GPU available for acceleration"),
            GpuError::ThresholdNotMet => write!(f, "Operation size doesn't meet GPU threshold"),
            GpuError::OperationFailed(msg) => write!(f, "GPU operation failed: {}", msg),
            GpuError::NotImplemented(msg) => write!(f, "Not implemented: {}", msg),
            GpuError::OutOfMemory => write!(f, "GPU out of memory"),
            GpuError::InvalidInput(msg) => write!(f, "Invalid input: {}", msg),
        }
    }
}

impl std::error::Error for GpuError {}

/// Global GPU accelerator instance
static GLOBAL_GPU_ACCELERATOR: OnceLock<Arc<std::sync::Mutex<GpuAccelerator>>> = OnceLock::new();

/// Get the global GPU accelerator instance
pub fn get_global_gpu_accelerator() -> &'static Arc<std::sync::Mutex<GpuAccelerator>> {
    GLOBAL_GPU_ACCELERATOR.get_or_init(|| Arc::new(std::sync::Mutex::new(GpuAccelerator::new())))
}

/// Check if GPU acceleration is available
pub fn is_gpu_available() -> bool {
    if let Ok(accelerator) = get_global_gpu_accelerator().lock() {
        if let Some(caps) = accelerator.get_capabilities() {
            return caps.backend != GpuBackend::None;
        }
    }
    false
}

/// Get GPU capabilities information
pub fn get_gpu_capabilities() -> Option<GpuCapabilities> {
    if let Ok(accelerator) = get_global_gpu_accelerator().lock() {
        accelerator.get_capabilities().cloned()
    } else {
        None
    }
}

/// Perform GPU-accelerated bulk addition if available, fallback to CPU
pub fn gpu_or_cpu_bulk_add(values: &[f64]) -> f64 {
    if let Ok(accelerator) = get_global_gpu_accelerator().lock() {
        match accelerator.gpu_bulk_add(values) {
            Ok(result) => return result,
            Err(GpuError::ThresholdNotMet) => {
                // Expected - use CPU for small operations
            }
            Err(e) => {
                eprintln!("GPU operation failed, falling back to CPU: {}", e);
            }
        }
    }

    // CPU fallback
    values.iter().sum()
}

/// Perform GPU-accelerated matrix multiplication if available, fallback to CPU
pub fn gpu_or_cpu_matrix_multiply(a: &[Vec<f64>], b: &[Vec<f64>]) -> Vec<Vec<f64>> {
    if let Ok(accelerator) = get_global_gpu_accelerator().lock() {
        match accelerator.gpu_matrix_multiply(a, b) {
            Ok(result) => return result,
            Err(GpuError::ThresholdNotMet) => {
                // Expected - use CPU for small matrices
            }
            Err(e) => {
                eprintln!("GPU matrix operation failed, falling back to CPU: {}", e);
            }
        }
    }

    // CPU fallback - basic matrix multiplication
    cpu_matrix_multiply(a, b)
}

/// CPU fallback for matrix multiplication
fn cpu_matrix_multiply(a: &[Vec<f64>], b: &[Vec<f64>]) -> Vec<Vec<f64>> {
    let rows_a = a.len();
    let cols_a = a[0].len();
    let cols_b = b[0].len();

    let mut result = vec![vec![0.0; cols_b]; rows_a];

    for i in 0..rows_a {
        for j in 0..cols_b {
            for (k, a_elem) in a[i].iter().enumerate().take(cols_a) {
                result[i][j] += a_elem * b[k][j];
            }
        }
    }

    result
}

/// GPU acceleration statistics
#[derive(Debug, Clone, Default)]
pub struct GpuStatistics {
    /// Number of GPU operations performed
    pub gpu_operations: u64,
    /// Number of CPU fallbacks
    pub cpu_fallbacks: u64,
    /// Total GPU computation time
    pub gpu_time_ms: f64,
    /// Total CPU fallback time
    pub cpu_time_ms: f64,
    /// GPU memory usage in bytes
    pub gpu_memory_used: u64,
}

/// Get GPU acceleration statistics
pub fn get_gpu_statistics() -> GpuStatistics {
    // Placeholder - would track actual statistics
    GpuStatistics::default()
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn test_gpu_accelerator_creation() {
        let accelerator = GpuAccelerator::new();
        assert!(accelerator.get_capabilities().is_some());
    }

    #[test]
    fn test_gpu_threshold_logic() {
        let accelerator = GpuAccelerator::new();

        // Small operations should not use GPU
        assert!(!accelerator.should_use_gpu(GpuOperation::BulkArithmetic, 100));

        // Large operations should use GPU (if available)
        let should_use = accelerator.should_use_gpu(GpuOperation::BulkArithmetic, 20000);
        // Result depends on whether GPU is available
        let _ = should_use;
    }

    #[test]
    fn test_cpu_fallback() {
        let values = vec![1.0, 2.0, 3.0, 4.0, 5.0];
        let result = gpu_or_cpu_bulk_add(&values);
        assert_eq!(result, 15.0);
    }

    #[test]
    fn test_matrix_multiplication_fallback() {
        let a = vec![vec![1.0, 2.0], vec![3.0, 4.0]];
        let b = vec![vec![5.0, 6.0], vec![7.0, 8.0]];

        let result = gpu_or_cpu_matrix_multiply(&a, &b);

        // Expected result: [[19, 22], [43, 50]]
        assert_eq!(result[0][0], 19.0);
        assert_eq!(result[0][1], 22.0);
        assert_eq!(result[1][0], 43.0);
        assert_eq!(result[1][1], 50.0);
    }

    #[test]
    fn test_global_gpu_accelerator() {
        let caps = get_gpu_capabilities();
        assert!(caps.is_some());

        let available = is_gpu_available();
        // Should not panic
        let _ = available;
    }
}