Fixed Point Representation Error
Quantize a decimal value to signed fixed point and inspect representational error.
DeveloperOpen tool ↗THE FEUTEX TOOLKIT
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Floating Point ULP Spacing
Estimate normal binary floating-point spacing at a specified magnitude.
DeveloperOpen tool ↗Integer Counter Wrap Horizon
Estimate the remaining time before an unsigned fixed-width event counter wraps.
DeveloperOpen tool ↗Hash Table Load Capacity
Plan power-of-two table capacity and unused slots at a chosen maximum load factor.
DeveloperOpen tool ↗Circular Buffer Wrap Plan
Map a monotonic sequence number to a ring slot and estimate fixed storage.
DeveloperOpen tool ↗Bitset Versus ID List Memory
Compare a dense membership bitset with an unsorted fixed-width identifier list.
DeveloperOpen tool ↗Dictionary Encoding Size
Estimate a fixed-width dictionary index and dictionary payload for repeated strings.
DeveloperOpen tool ↗Run Length Encoding Budget
Compare raw values with value-and-count pairs using a measured number of runs.
DeveloperOpen tool ↗Sparse CSR Matrix Memory
Compare compressed sparse row arrays with a dense numerical matrix.
DeveloperOpen tool ↗External Merge Sort IO Plan
Estimate initial sorted runs, merge passes and full-dataset disk traffic.
DeveloperOpen tool ↗Distributed Shuffle Network Volume
Estimate remote bytes when data is uniformly repartitioned across workers.
DeveloperOpen tool ↗Partition Hot Key Skew
Estimate a hot partition load when one key dominates otherwise uniform traffic.
DeveloperOpen tool ↗CPU Instruction Mix CPI
Estimate weighted cycles per instruction for two measured instruction classes.
DeveloperOpen tool ↗Branch Misprediction Cost
Estimate added cycles per instruction from branch frequency and misprediction penalty.
DeveloperOpen tool ↗SIMD Tail Lane Utilization
Count vector iterations and inactive lanes in a final masked vector.
DeveloperOpen tool ↗GPU Kernel Launch Overhead
Estimate wall time attributable to launching many small kernels.
DeveloperOpen tool ↗Memory Stride Cache Line Use
Estimate useful bytes per touched cache line for regularly strided accesses.
DeveloperOpen tool ↗Storage IOPS Throughput and Queue
Translate IOPS and request size to bandwidth and average outstanding requests.
DeveloperOpen tool ↗Structure Cache Line Padding
Compare compact structures with line-rounded slots for avoiding adjacent sharing.
DeveloperOpen tool ↗Binary Search Comparison Bound
Estimate worst-case comparisons and compare with a linear lookup bound.
DeveloperOpen tool ↗Circle Overlap Lens
Calculate the shared lens area and common chord where two circles partially overlap.
GeometryOpen tool ↗Circular Segment Profile
Find a circular segment’s area, chord width and central angle from its radius and height.
GeometryOpen tool ↗Spherical Cap Profile
Measure a sphere cap’s volume, curved surface and base radius from cap height.
GeometryOpen tool ↗Triaxial Ellipsoid Profile
Calculate the volume and three central cross-sections of an ellipsoid with unequal semi-axes.
GeometryOpen tool ↗Platonic Solid Comparison
Compare the volumes of four regular Platonic solids sharing one edge length.
GeometryOpen tool ↗Triangle Incircle and Circumcircle
Find the inscribed and circumscribed circle radii of a triangle from its three side lengths.
GeometryOpen tool ↗Triangle Centroid Coordinates
Locate a triangle’s centroid and measure its first median from three vertex coordinates.
GeometryOpen tool ↗Barycentric Point Location
Express a point as three triangle weights to inspect its location relative to the triangle.
GeometryOpen tool ↗Point Projection onto a Line
Find the perpendicular distance and closest point from a coordinate to an infinite line.
GeometryOpen tool ↗Point Projection onto a Plane
Project a three-dimensional point onto a plane and measure its perpendicular distance.
GeometryOpen tool ↗Vector Cross Product
Calculate a three-dimensional cross product and the parallelogram area spanned by two vectors.
GeometryOpen tool ↗Vector Angle and Projection
Measure the angle between two planar vectors and project the first onto the second.
GeometryOpen tool ↗Ellipse Foci and Eccentricity
Find an ellipse’s focal offset, eccentricity and latus rectum from its major and minor semi-axes.
GeometryOpen tool ↗Hyperbola Foci and Asymptotes
Find focal distance, eccentricity and asymptote slope for a horizontal hyperbola.
GeometryOpen tool ↗Parabola Focus and Directrix
Locate the focus and directrix of a vertical parabola and calculate its focal chord width.
GeometryOpen tool ↗Quadratic Bézier Point and Tangent
Evaluate a point and tangent on a quadratic Bézier curve from three control points.
GeometryOpen tool ↗Catenary Sag and Arc Length
Estimate the sag, total arc length and end slope of a symmetric mathematical catenary.
GeometryOpen tool ↗Cycloid Point and Tangent
Locate a point on a rolling-circle cycloid and evaluate its parametric tangent.
GeometryOpen tool ↗2×2 Matrix Inverse
Invert a nonsingular two-by-two matrix and inspect its determinant.
MathOpen tool ↗Symmetric 2×2 Matrix Spectrum
Calculate the two real eigenvalues and principal-axis angle of a symmetric two-by-two matrix.
MathOpen tool ↗2×2 Singular Values and Conditioning
Find both singular values and the spectral condition number of a nonsingular two-by-two matrix.
MathOpen tool ↗Complex Product and Quotient
Multiply and divide two complex numbers while keeping real and imaginary components separate.
MathOpen tool ↗Newton Root-Finding Step
Perform one Newton root-finding iteration using a supplied function value and derivative.
MathOpen tool ↗Simpson Integration Panel
Integrate three equally spaced measurements using Simpson’s rule and compare a trapezoid estimate.
MathOpen tool ↗Richardson Extrapolation
Extrapolate two numerical estimates to zero step size using a known leading error order.
MathOpen tool ↗Complex Magnitude, Phase and Principal Root
Find magnitude, phase and the principal square root of a complex number.
MathOpen tool ↗Three-Node Polynomial Interpolation
Interpolate a quadratic through three data points and evaluate its value and derivative.
MathOpen tool ↗Centered Derivative Stencil
Estimate first and second derivatives from three equally spaced function measurements.
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