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API · /complexnumber-api

Complex Number API

salutare 4,893 Abbonati

Complex-number maths as an API, computed locally and deterministically. The arithmetic endpoint adds, subtracts, multiplies or divides two complex numbers z₁ = a + bi and z₂ = c + di, returning the result in both rectangular (a + bi) and polar (modulus ∠ angle) form. The properties endpoint describes a single complex number — its modulus |z| = √(a² + b²), its argument in radians and degrees, its conjugate, its negation, its reciprocal and its polar form. The power endpoint applies De Moivre's theorem, zⁿ = rⁿ(cos nθ + i·sin nθ), to raise a complex number to any real power, and for a positive integer n it also returns all n distinct n-th roots, evenly spaced around the complex plane. The imaginary part defaults to zero, so real inputs work too. Everything is computed locally and deterministically, so it is instant and private. Ideal for engineering, signal-processing, electronics, physics and mathematics app developers, AC-circuit and phasor tools, and STEM education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is complex-number arithmetic; for plane-angle unit conversion use an angle API and for vectors a vector API.

#complex-number #math #de-moivre #phasor #imaginary #developer-tools
api.oanor.com/complexnumber-api
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/api/complexnumber-api/openapi.json
/api/complexnumber-api/llms.txt

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API salute

salutare
Tempo di attività
100.00%
Sondaggi del server · 24 ore su 24
Latenza media
88 ms
Sondaggi del server · 24 ore su 24
Abbonati
4,893
attiva
Chiamate totali
32
ultimi 7 giorni
status Pagina di stato completa → · 24 sonde/24h

Prezzi

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Free

Gratis

  • 3,000 chiamate/mese
  • 2 richieste/secondo
  • Tetto rigido (429 sopra la quota, nessuna eccedenza)
  • 26,235 calls/month
  • 2 req/sec
  • Arithmetic + properties + power
  • No credit card
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Starter

€5.00 /mese

  • 40,000 chiamate/mese
  • 5 richieste/secondo
  • Tetto rigido (429 sopra la quota, nessuna eccedenza)
  • 37.55k llamadas/mes
  • 8 req/seg
  • Forma polar, raíces de De Moivre
  • Soporte por correo electrónico
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Pro

€15.00 /mese

  • 250,000 chiamate/mese
  • 15 richieste/secondo
  • Tetto rigido (429 sopra la quota, nessuna eccedenza)
  • 409.5k calls/month
  • 20 req/sec
  • Signal-processing & phasor pipelines
  • Priority support
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Mega

€49.00 /mese

  • 1,514,000 chiamate/mese
  • 40 richieste/secondo
  • Tetto rigido (429 sopra la quota, nessuna eccedenza)
  • 2.09M calls/month
  • 50 req/sec
  • Platform scale
  • Dedicated SLA
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Costruito da

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PremiumApi

Correlato APIs

Altro APIs con tag sovrapposti.

Combinatorics API

Combinatorics maths as an API, computed locally and deterministically with exact arbitrary-precision integers. The factorial endpoint computes n! = 1·2·3···n (with 0! = 1) and returns it exactly as a string together with its digit count, so even very large factorials stay precise. The permutations endpoint counts ordered arrangements: without repetition nPr = n!/(n−r)! arrangements of r items chosen from n, and with repetition n^r, where each of the r positions may be any of the n items. The combinations endpoint counts unordered selections: without repetition the binomial coefficient nCr = n!/(r!·(n−r)!), and with repetition (multisets) C(n+r−1, r), where repeats are allowed. All results are computed with BigInt so they are exact no matter how large, returned as a string with the number of digits and a floating-point approximation when it fits. n and r are non-negative integers up to 100000. Everything is computed locally and deterministically, so it is instant and private. Ideal for probability, statistics, lottery, game-design, cryptography and education app developers, counting and odds tools, and discrete-maths teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is counting combinatorics; for modular arithmetic use a modular API and for descriptive statistics a statistics API.

api.oanor.com/combinatorics-api

Modular Arithmetic API

Modular-arithmetic maths as an API, computed locally and deterministically with exact big-integer arithmetic. The power endpoint computes modular exponentiation, aᵇ mod m, by square-and-multiply, fast and exact even for the huge exponents used in cryptography. The inverse endpoint finds the modular multiplicative inverse a⁻¹ mod m with the extended Euclidean algorithm, returning the inverse when a and m are coprime and reporting the gcd when no inverse exists. The totient endpoint computes Euler's totient φ(n) — the count of integers from 1 to n coprime to n — with the prime factorization it comes from, and an optional Euler-theorem check that a^φ(n) ≡ 1 (mod n) for a coprime base. These are the building blocks of RSA and much of modern cryptography. Inputs are integers and can be passed as strings for very large values. Everything is computed locally and deterministically, so it is instant and private. Ideal for cryptography, security, blockchain and mathematics app developers, RSA and number-theory tools, and computer-science education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is modular arithmetic; for prime factorization and GCD use a number-theory API and for integer sequences a sequences API.

api.oanor.com/modular-api

Interpolation API

Interpolation maths as an API, computed locally and deterministically. The linear endpoint interpolates between two points, y = y0 + (y1 − y0)·(x − x0)/(x1 − x0), returning the value at a target x (or, given a target y, solving the x that produces it), the parameter t and whether the point lies outside the segment. The table endpoint does piecewise-linear interpolation within a table of (x, y) points supplied as comma-separated lists — it sorts the points, finds the two that bracket your query and interpolates between them, extending the nearest segment and flagging the result when you query outside the data range, ideal for calibration curves and lookup tables. The bilinear endpoint interpolates on a rectangular grid from four corner values, interpolating along x at each y-edge and then along y. Everything is computed locally and deterministically, so it is instant and private, and unlike regression it passes exactly through the supplied points. Ideal for engineering, data-visualisation, gaming, mapping and scientific-computing app developers, lookup-table and calibration tools, and numerical-methods education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is interpolation; for least-squares regression and correlation use a statistics API.

api.oanor.com/interpolation-api

Triangle Solver API

Triangle-solving maths as an API, computed locally and deterministically. The solve endpoint solves any triangle from three values — three sides (SSS), two sides and the included angle (SAS), two angles and a side (ASA/AAS), or the ambiguous two-sides-and-a-non-included-angle case (SSA) — using the law of cosines and the law of sines, and returns all three sides and angles, the perimeter, the Heron area and whether the triangle is acute, right or obtuse and equilateral, isosceles or scalene; for an ambiguous SSA input it also returns the second valid triangle. The right endpoint is a dedicated right-triangle solver from any two of the two legs, the hypotenuse and an acute angle, applying Pythagoras and basic trigonometry. The points endpoint builds a triangle from three cartesian vertices, giving the side lengths, the interior angles, the shoelace area and the centroid. Angles are in degrees. Everything is computed locally and deterministically, so it is instant and private. Ideal for education, CAD, surveying, game-development and engineering app developers, geometry and trigonometry tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This solves triangles; for areas and volumes of general shapes use a geometry API and for polygon point-set operations a polygon API.

api.oanor.com/triangle-api

Domande frequenti

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Come ottengo una chiave API per Complex Number API?
Registrati gratuitamente su oanor.com, genera una chiave API dalla dashboard sviluppatore e chiama Complex Number API con l'header x-oanor-key. Nessuna carta di credito richiesta per il piano gratuito.
Qual è il limite di velocità di Complex Number API?
Il piano gratuito consente 1 richiesta al secondo. I piani a pagamento arrivano fino a 50 richieste al secondo nel piano Mega. I limiti rigorosi restituiscono HTTP 429 oltre la quota — nessuna spesa imprevista.
Quanto costa Complex Number API?
Complex Number API ha un piano gratuito con 100 chiamate / mese. I piani a pagamento partono da €5.00 / mese con quote più alte e limiti di velocità più rapidi.
Posso cancellare l'abbonamento in qualsiasi momento?
Sì. I piani sono fatturati mensilmente e puoi cancellare in qualsiasi momento dalla dashboard di fatturazione. Nessun contratto a lungo termine e nessuna penale di cancellazione.
Complex Number API è conforme al GDPR?
Tutte le richieste a Complex Number API passano attraverso il nostro gateway in UE. La tua chiave upstream non lascia mai il nostro server e nessun dato personale viene condiviso con il fornitore upstream oltre alla richiesta inviata.

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Frammenti di codice

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curl https://api.oanor.com/complexnumber-api/SOME_PATH \
  -H "x-oanor-key: oanor_test_..."
const res = await fetch("https://api.oanor.com/complexnumber-api/SOME_PATH", {
  headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();
$ch = curl_init("https://api.oanor.com/complexnumber-api/SOME_PATH");
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
$response = curl_exec($ch);
import requests
r = requests.get(
    "https://api.oanor.com/complexnumber-api/SOME_PATH",
    headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())

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