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POST
/
quantlib
/
numerical
/
roots
/
find-1d
Find Root of Scalar Function
curl --request POST \
  --url https://finceptbackend.share.zrok.io/quantlib/numerical/roots/find-1d \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "func_name": "x2_minus_4",
  "a": 1,
  "b": 3,
  "method": "brent",
  "tol": 1e-12
}
'
{
  "success": true,
  "data": {
    "root": 2,
    "iterations": 8,
    "converged": true,
    "function_value": 1.3e-15
  }
}

Authorizations

​
X-API-Key
string
header
required

API key for authentication. Get your key at https://finceptbackend.share.zrok.io/auth/register

Body

application/json
​
func_name
enum<string>
required

Built-in function or 'custom_poly' for polynomial

Available options:
sin,
cos,
exp_minus_2,
x2_minus_4,
custom_poly
Example:

"x2_minus_4"

​
a
number
required

Lower bound of search interval

Example:

1

​
b
number
required

Upper bound of search interval (f(a) and f(b) should have opposite signs)

Example:

3

​
method
enum<string>
default:brent

Root-finding method

Available options:
bisect,
brent,
ridder,
secant
Example:

"brent"

​
tol
number
default:1e-12

Convergence tolerance (smaller = more accurate)

Example:

1e-12

​
poly_coeffs
number[]

Polynomial coefficients [a0, a1, a2, ...] for a0 + a1x + a2x^2 + ... (only for custom_poly)

Example:
[-4, 0, 1]

Response

Successful Response

​
success
boolean
Example:

true

​
data
object