WASM-only · Native Performance · Zero Server Round-trip
Sciences & Math Playground
Geometric algebra, ODE solvers, thermodynamics, and bioinformatics — running natively in your browser via qualia_core_db_bg.wasm with zero-heap compliance.
0
Compute Ops
0ms
Execution Time
0
Heap Allocations
64-bit
Native Precision
G(3,0,0) Multivector Operations
WASM Native8-component multivector: scalar + 3 vectors + 3 bivectors + pseudoscalar. Zero-heap geometric operations via WASM.
Multivector A
Multivector B
Result
Press Compute to evaluate…
Rotor Visualization (e₁₂ plane)
Grade breakdown
Grade 0
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Grade 1
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Grade 2
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Grade 3
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Rust Implementation Reference
// crates/qualia-core-db/src/modalities/calculus/geometric_algebra.rs
pub struct Multivector3 { pub blades: [f64; 8] } // 1,e1,e2,e3,e12,e13,e23,e123
impl Multivector3 {
pub fn geo_product(&self, b: &Multivector3) -> Multivector3 {
// Grade-aware product table with sign flip from anti-commuting basis
// eᵢeᵢ = +1 (Euclidean metric), eᵢeⱼ = -eⱼeᵢ for i≠j
// SIMD: fused_tensor_contraction.wgsl — 4096 FMA ops per workgroup thread
// Zero-heap: stack-allocated blades array, no Vec/String allocation
}
pub fn rotor_from_bivector(b: &Multivector3, angle: f64) -> Multivector3 {
// Exponential map: e^(Bθ) = cos(θ) + B·sin(θ) for unit bivector B
// Used for 3D rotations without gimbal lock
}
}
Runge-Kutta 4th Order Solver
Phase-space trajectories from RungeKutta4Static — exact match to the Rust kernel.
Phase Space Trajectory
Time Series
Rust Implementation Reference
// crates/qualia-core-db/src/modalities/calculus/ode_solver.rs
pub struct RungeKutta4Static {
// Fixed-size arrays for zero-heap ODE integration
k1: [f64; N],
k2: [f64; N],
k3: [f64; N],
k4: [f64; N],
temp: [f64; N],
}
impl RungeKutta4Static {
pub fn step(&mut self, y: &mut [f64; N], t: f64, h: f64, f: F)
where
F: Fn(f64, &[f64; N], &mut [f64; N]),
{
// Classic RK4: y_{n+1} = y_n + (h/6)(k1 + 2k2 + 2k3 + k4)
// All allocations on stack, no heap usage
f(t, y, &mut self.k1);
// ... k2, k3, k4 computation
}
}
Thermodynamic Monte Carlo
Metropolis-Hastings MCMC for Gibbs free energy minimization — native WASM implementation.
Energy Distribution
Convergence Trace
Sequence Alignment
Smith-Waterman / Needleman-Wunsch alignment — zero-heap WASM implementation.
Alignment Result
Enter sequences and click Align…
Clinical Risk Assessment
Framingham, CHA₂DS₂-VASc, SCORE2 — evidence-based risk calculators via WASM.
Risk Assessment Result
Enter parameters and click Calculate…
Organic Chemistry Analysis
SMILES parsing, molecular properties, drug-likeness — native WASM chemistry engine.
Analysis Result
Enter SMILES and click Analyze…