Array rational min max

array-rational-min-max · version 1.0.0 · Numbers & math · free, no key needed

Return the reduced numeric minimum and maximum of an array of canonical rationals.

Use when you need to: array rational min max · minimum and maximum of rationals · min and max of an array of fractions.

Supported

• array rational min max
• minimum and maximum of rationals
• min and max of an array of fractions

Not supported

• index of min or max
• floating-point comparison
• sort rationals
• mean of rationals
• decimal string min max
• IEEE-754 arithmetic

Behavior

• Input values is a non-empty array of rational objects with canonical integer-string numerator and denominator.
• Each denominator must be a positive canonical integer; zero and negative denominators are rejected.
• Comparison uses BigInt cross-multiplication: a.numerator * b.denominator versus b.numerator * a.denominator.
• Each of min and max is the first-seen value among numeric equals, independently.
• Outputs are reduced, with the sign only on the numerator; zero is numerator 0 over denominator 1.
• At most 10000 values. Numerator and denominator of each output may have at most 1000 digits excluding sign.

Input

• values (array of object, required): min items 1; max items 10000

Output

• min (object, required)
• max (object, required)

Limits

• max values: 10000
• max digits: 1000
• min values: 1

Example

Request input:

{
  "values": [
    {
      "numerator": "1",
      "denominator": "2"
    },
    {
      "numerator": "2",
      "denominator": "3"
    },
    {
      "numerator": "1",
      "denominator": "4"
    }
  ]
}

Response:

{
  "result": {
    "min": {
      "numerator": "1",
      "denominator": "4"
    },
    "max": {
      "numerator": "2",
      "denominator": "3"
    }
  }
}

How to call it

MCP

Connect https://computefirst.net/mcp (setup), then call execute with:

{
  "id": "array-rational-min-max",
  "version": "1.0.0",
  "input": {
    "values": [
      {
        "numerator": "1",
        "denominator": "2"
      },
      {
        "numerator": "2",
        "denominator": "3"
      },
      {
        "numerator": "1",
        "denominator": "4"
      }
    ]
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/array-rational-min-max/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"values":[{"numerator":"1","denominator":"2"},{"numerator":"2","denominator":"3"},{"numerator":"1","denominator":"4"}]}'

The machine-readable contract is at /v1/tools/array-rational-min-max/versions/1.0.0.

CLI

node cli.mjs run array-rational-min-max 1.0.0 --input input.json --base-url https://computefirst.net

Get the client at /clients/cli/.

Related tools

• Array integer min max: Return the numeric minimum and maximum of canonical integer strings.
• Array rational mean: Return the reduced arithmetic mean of an array of canonical rationals.
• Array rational sum: Sum an array of canonical rationals and return the reduced total.
• Array integer clamp: Clamp an array of canonical integer strings to optional inclusive min and max bounds.
• Rational multiply: Multiply two rational numbers given as numerator/denominator integer strings and return the reduced product.
• Rational subtract: Subtract one rational number from another, given as numerator/denominator integer strings, and return the reduced difference.