Results for “math”

base to the power exponent from + - * / only, exact by squaring for whole exponents, identical in every language.

e to the power x from + - * / only, so TypeScript, Python and Rust return the same double for the same input.

Arctangent in radians from + - * / only (fdlibm's method), so every language returns the same double.

Raise a positive decimal to a fractional power, (1.199)^(31/365), identically in every language.

Divide two integers of any size with an explicit rounding mode, on decimal strings, for exact money sums past 2^53.

Exact fraction arithmetic, always reduced, for rates and ratios that must not drift.

Percentage change from one value to another, in basis points, with an explicit rounding mode.

Natural logarithm from + - * / only, so TypeScript, Python and Rust return the same double for the same input.

Exact integer arithmetic of any size, on decimal strings, for powers and products that overflow 64 bits.

Sine and cosine of an angle in radians from + - * / only, so every language returns the same doubles.

Convert a rate between percent, basis points and a plain ratio exactly, as decimal text or integer basis points.

Clamp an integer to an inclusive range, refusing a range whose bounds are the wrong way round.

Round a float half away from zero to 0-12 decimal places, identically in TypeScript, Python and Rust.

Exact integer square root: the largest whole number whose square does not exceed n.

Integer division with an explicit rounding mode, for money arithmetic that must not drift.

Greatest common divisor and least common multiple of two integers, exactly and without overflow.

Chart layout: the plot area inside margins, legend items wrapped into rows, and greedy label collision avoidance.

Format a float as plain decimal text with fixed or trimmed places and optional grouping, identically in every language.

Year fraction between two dates by ACT/365F, ACT/360, 30/360, 30E/360 or ACT/ACT ISDA, as an exact fraction.

Weighted average of integers, computed exactly and rounded once to stated decimals with an explicit rounding mode.

Selling price from a cost and a target margin or markup in basis points, with explicit rounding.

Packs of tiles, paint, plasterboard or flooring to cover an area, with waste and coats, rounded up to whole packs.

SVG path strings for lines, areas, steps, monotone curves, bars, arcs and pie slices, identical in every language.

Axis geometry as data: tick positions, tick marks, label anchors and gridlines for number, time and category axes.

Field area in square metres, hectares and acres from a boundary polygon of latitude/longitude points.

Body surface area in m² by the Mosteller and the DuBois & DuBois formulas, to 2 decimal places.

Roof pitch in degrees, rafter length and roof slope area from span, rise and length.

Great-circle distance in metres between two latitude/longitude points (haversine), to the millimetre.

Axis ticks: a round step (1, 2 or 5 x 10^k), the ticks on it, and calendar ticks from days to years.

Summarise probe results: sent, received, loss, min/avg/max, p95 and jitter, in whole microseconds.

Ration costing and dry matter intake from each feed's fresh weight, DM % and price per tonne, in exact money.

The minimum and maximum of a series as [min, max], skipping gaps (null), or null when there is no value.

Map data values onto screen positions and back: linear, log, time, band and point scales, and nice domains.

Simple or exponential moving average over a series, one value per full window, rounded to stated decimals.

Monthly and annual recurring revenue from a list of subscriptions, normalising intervals and leaving out trials.

Percentile of a list of numbers by a named method: nearest-rank, or linear interpolation (R-7, Excel PERCENTILE.INC).

Hex colours to RGB and back, and sRGB channels to linear light and back, identically in every language.

Latitude/longitude bounding box that contains every point within a distance of a centre point.

Compare two amounts of one currency, refusing to compare across currencies; min, max and clamp too.

Enterprise gross margin (output less variable costs), in total and per hectare or per head, in exact money.

Axis and label text for charts: tick numbers, SI prefixes (1.2k, 3.4M), percentages, dates and money.

Bin values into histogram bins on round edges, by Sturges' rule, Freedman-Diaconis, or a fixed width.

The colour at a point along a sequential or diverging ramp, mixed in OKLab so steps look even; hex in, hex out.

Stack several series for stacked bars and areas: on zero, normalised to 100%, or diverging around zero.

Concrete for slabs, strip footings, pads and round columns: volume to the litre and an order rounded up to 0.1 m³.

Fuel cost of a trip from distance, fuel economy (UK or US mpg, or L/100km) and price per litre, exactly.

A vehicle's current value from its cost, age and mileage, on retention curves the caller supplies, exactly.

Reorder point: demand over the supplier lead time, rounded up to whole units, plus safety stock.

Perpetual weighted average cost: stock value and cost of sales from a movement ledger, rounding once per issue.

Economic batch quantity: the EOQ for a batch made at a finite production rate, in whole units.

Explode a multi-level bill of materials into exact total quantities per component, with scrap and cycle checks.

Whole units to start for a required good output at a process yield, and the scrap that allows for.

Convert an amount to another currency at a supplied exact rate, with an explicit rounding mode.

How fast an SLO's error budget is burning: the error rate as a multiple of the rate the SLO allows, in thousandths.

How much of an SLO's error budget is allowed, used and left, from good and bad event counts or seconds.

Aggregate a metric series into fixed time buckets (count, min, max, avg, sum, last), empty buckets included.

Count HTTP status codes by class (1xx to 5xx) and give the server error and client error rates in basis points.

Population or sample standard deviation of a list of numbers, two-pass, rounded to stated decimals.

Rate a call from a rate deck: longest-prefix destination match, billing increments, connection fee and minimum charge.

Growing degree days (thermal time) from daily min/max temperatures, a base and an optional upper cap.

Seed rate in kg/ha from target plants per m², thousand-grain weight and expected establishment.

Shift an ISO date by a whole number of days, forwards or backwards, with exact calendar arithmetic.

Economic order quantity (Harris/Wilson): the order size that minimises ordering plus holding cost, in whole units.

Stock turnover ratio, days inventory outstanding and days of cover for a period, computed exactly.

Snap a price to a price point: charm pricing (.99, .95), nearest 5p or 10p, rounding up, down or to nearest.

Counts for a todo list's header or footer: total, active, done, overdue, due today, percent done and "3 items left".

AER (annual equivalent rate) from a gross nominal rate and how often interest is paid, to two decimal places.

Round a duration in minutes to a billing increment such as 6 or 15 minutes, up, down or to nearest.

Capacity against routed load per work centre over a period, with efficiency, utilisation and overload flags.

Mid-cycle plan change: credit for unused time on the old plan and charge for the rest of the period on the new one.

Pay for the time worked in a period split into multiplier bands: basic, time and a half after 40 hours, double time.

eGFR in mL/min/1.73 m² by the race-free CKD-EPI 2021 creatinine equation, from creatinine in µmol/L or mg/dL.

Compound annual growth rate between two values over a whole or fractional number of years, in basis points.

Adult body mass index (kg/m², 1 decimal place) and its NICE/WHO weight category.

Premium from a base rate times factor-table lookups, loadings and discounts, within minimum and maximum premiums.

Early settlement figure and rebate on UK regulated consumer credit, per the Early Settlement Regulations 2004.

Apportion a service charge across units by lease fraction, floor area or fixed percentage, exact to the penny.

Loss ratio, expense ratio and combined ratio in basis points, from earned premium, incurred claims and expenses.

Current yield and yield to maturity of a fixed-coupon bond from its clean price, as Excel's YIELD defines it.

Consumer-credit APR from drawdowns and repayments, by the FCA CONC App 1.2.6 equation, to one decimal place.

Level repayment for a loan (annuity formula), computed exactly and rounded once, the way you choose.

Sprayer tank mix: tank fills, and product and water per full and part tank, for an area, water volume and dose.

Time-weighted return from valuations taken at each external cash flow, geometrically linked exactly.

Interest accrued day by day on a changing balance under a day-count convention, summed exactly and rounded once.

Salary for part of a pay period and for part-time hours, by calendar days or working days, rounded once.

Money-weighted return (XIRR) of dated cash flows on Excel's actual/365 convention, solved exactly in fixed point.

Loan-to-value ratio in basis points, and the band it falls in from a band table you supply.

Add, subtract and negate monetary amounts, refusing to mix currencies.

Grade point average on a 4.0 scale from letter grades and credit hours, weighted by credits and rounded once.

Weighted percentage across coursework and exam components, exact as a fraction, then rounded once.

Spell out a whole number in British English words, with "and" the way a cheque writes it.

A currency-tagged monetary amount held in integer minor units.

Apply a rate expressed in basis points to a monetary amount, with an explicit rounding mode.

Write a money amount in words for a cheque: "one thousand two hundred and thirty-four pounds and fifty-six pence".

Tuition fee instalment schedule from a total, shares and due dates, exact to the penny.

Render a monetary amount as text, using the currency's real minor-unit precision.

Profit on a sale with both the margin and the markup, so the two are never confused.

Calculate a complete invoice: line nets, VAT per line, totals and a VAT summary grouped by rate.

Units consumed between two meter reads, counting the meter rolling over past all nines once.

Complete line chart geometry as data: plot area, number or date axes, gridlines, series paths, colours, legend.