Vector norm

vector-norm · version 1.0.0 · Vectors & matrices · free, no key needed

Compute the L1, L2 (Euclidean), or L-infinity (Chebyshev) norm of a finite-number vector.

Use when you need to: vector norm · vector magnitude · euclidean length.

Supported

• vector norm
• vector magnitude
• euclidean length
• L1 norm
• L2 norm
• infinity norm

Not supported

• general p-norms for non-integer or fractional p
• matrix norms (use matrix-frobenius-norm-style tools)

Behavior

• Input vector is an array of 1 to 64 finite JSON numbers, each bounded to at most 1000000 in magnitude.
• Optional input p selects the norm: 1 for the L1 (sum of absolute values) norm, 2 (default) for the Euclidean norm, or the string "inf" for the L-infinity (maximum absolute value) norm.
• The L2 norm uses Math.sqrt over an IEEE-754 double-precision sum of squares; results for irrational magnitudes are rounded to double precision, not exact.
• The result is always non-negative; -0 is normalized to 0.

Input

• vector (array of number, required): min items 1; max items 64
• p (one of 1, 2 or one of "inf", optional)

Output

• result (number, required)

Limits

• max dim: 64
• max abs value: 1000000

Example

Request input:

{
  "vector": [
    3,
    4
  ]
}

Response:

{
  "result": {
    "result": 5
  }
}

How to call it

MCP

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

{
  "id": "vector-norm",
  "version": "1.0.0",
  "input": {
    "vector": [
      3,
      4
    ]
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/vector-norm/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"vector":[3,4]}'

The machine-readable contract is at /v1/tools/vector-norm/versions/1.0.0.

CLI

node cli.mjs run vector-norm 1.0.0 --input input.json --base-url https://computefirst.net

Get the client at /clients/cli/.

Related tools

• Vector distance: Compute the Euclidean, Manhattan, or Chebyshev distance between two equal-length finite-number vectors.
• Vector normalize: Scale a finite-number vector to unit Euclidean length.
• Matrix vector multiply: Multiply an MxN finite-number matrix by a length-N finite-number vector, producing a length-M vector.
• Vector add: Add two equal-length finite-number vectors elementwise.
• Vector angle: Compute the angle in radians between two equal-length finite-number vectors.
• Vector approx equal: Compare two equal-length finite-number vectors for approximate equality within an absolute tolerance.