XorShift32
binary · 36 views
binary
What It Is
Marsaglia's XorShift (2003) --- three shift-xor operations per step. Fast and passes most tests, but fails binary rank and linear complexity
Interpretation
Standard analysis sees: rich, high-entropy values; high-complexity (noise-like); homoskedastic; high-dimensional / space-filling. The atlas finds no named structure, but the source is distinctively extreme on Zipf–Mandelbrot (8-bit):zipf_r_squared (-2.9z) — beyond what the standard bank predicts for it.
What standard analysis sees
tail heaviness0.26
asymmetry0.50
occupancy0.92
short-range corr0.36
long-range memory0.24
spectral colour0.67
periodicity0.17
complexity0.94
time-irreversibility0.43
volatility clustering0.12
multifractality0.22
dimensionality0.92
nonstationarity0.22
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Zipf–Mandelbrot (8-bit):zipf_r_squared | -2.9z | bank-miss 1.7σ |
Composition
dtypefloat64
range[3.656e-05, 0.9999]
unique values16384 / 16384
mean ± std0.502 ± 0.289
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/XorShift32.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/XorShift32.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/XorShift32.png)
Inflation (Substitution) > barcode
/d_curve/XorShift32.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/XorShift32.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/XorShift32.png)
Ulam Spiral (Sacks) > default
/default/XorShift32.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| glibc LCG | 1.48 | |
| White Noise | 1.55 | cross-domain |
| RANDU | 1.62 |
Which Geometries Light Up
2-adic › 2-adic:multiscale_markov_predictability | rank 294/298 | 0.0269 |
Klein Bottle › Klein Bottle:rank_deficit_max | rank 294/298 | 0.1039 |
Modular Residue › Modular Residue:drift_anomaly | rank 296/298 | 0.0027 |
Predictability › Predictability:cond_entropy_k8 | rank 5/298 | 2.9998 |
Spectral Analysis › Spectral Analysis:phase_coherence | rank 297/298 | 0.0005 |
Symplectic › Symplectic:recurrence_rate | rank 296/298 | 0.0278 |
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