Vector approx equal

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

Compare two equal-length finite-number vectors for approximate equality within an absolute tolerance.

Use when you need to: vector approximate equality · compare vectors within tolerance · floating-point vector equality.

Supported

• vector approximate equality
• compare vectors within tolerance
• floating-point vector equality

Not supported

• vectors of different lengths
• relative (percentage) tolerance
• exact bitwise equality

Behavior

• Inputs a and b are arrays of finite JSON numbers with the same length, from 1 to 64 entries, magnitude bounded to at most 1000000.
• Optional input tolerance (default 1e-9, range 0 to 1) is an absolute per-entry threshold.
• max_absolute_difference is max(|a[i] - b[i]|) across all entries, computed in IEEE-754 double precision.
• equal is true exactly when max_absolute_difference is less than or equal to tolerance.

Input

• a (array of number, required): min items 1; max items 64
• b (array of number, required): min items 1; max items 64
• tolerance (number, optional): min 0; max 1

Output

• equal (boolean, required)
• max_absolute_difference (number, required)

Limits

• max dim: 64
• max abs value: 1000000

Example

Request input:

{
  "a": [
    1,
    2,
    3
  ],
  "b": [
    1,
    2,
    3.5
  ],
  "tolerance": 1
}

Response:

{
  "result": {
    "equal": true,
    "max_absolute_difference": 0.5
  }
}

How to call it

MCP

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

{
  "id": "vector-approx-equal",
  "version": "1.0.0",
  "input": {
    "a": [
      1,
      2,
      3
    ],
    "b": [
      1,
      2,
      3.5
    ],
    "tolerance": 1
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/vector-approx-equal/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"a":[1,2,3],"b":[1,2,3.5],"tolerance":1}'

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

CLI

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

Get the client at /clients/cli/.

Related tools

• 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 dot: Compute the dot (scalar) product of two equal-length finite-number vectors.
• Vector lerp: Linearly interpolate (or extrapolate) between two equal-length finite-number vectors.
• Vector outer product: Compute the outer product of two finite-number vectors, producing a matrix.
• Matrix vector multiply: Multiply an MxN finite-number matrix by a length-N finite-number vector, producing a length-M vector.