Vector lerp

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

Linearly interpolate (or extrapolate) between two equal-length finite-number vectors.

Use when you need to: vector linear interpolation · lerp between two vectors · vector extrapolation.

Supported

• vector linear interpolation
• lerp between two vectors
• vector extrapolation

Not supported

• vectors of different lengths
• spherical (slerp) interpolation
• non-linear interpolation curves

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.
• Input t is a finite number with magnitude at most 1000; t is not clamped to [0, 1], so values outside that range extrapolate.
• The result is result[i] = a[i] + t * (b[i] - a[i]), computed in IEEE-754 double precision. t=0 returns a; t=1 returns b.
• A result entry of -0 is normalized to 0.

Input

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

Output

• result (array of number, required)

Limits

• max dim: 64
• max abs value: 1000000
• max abs t: 1000

Example

Request input:

{
  "a": [
    0,
    0
  ],
  "b": [
    10,
    20
  ],
  "t": 0.5
}

Response:

{
  "result": {
    "result": [
      5,
      10
    ]
  }
}

How to call it

MCP

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

{
  "id": "vector-lerp",
  "version": "1.0.0",
  "input": {
    "a": [
      0,
      0
    ],
    "b": [
      10,
      20
    ],
    "t": 0.5
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/vector-lerp/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"a":[0,0],"b":[10,20],"t":0.5}'

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

CLI

node cli.mjs run vector-lerp 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 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.
• Vector approx equal: Compare two equal-length finite-number vectors for approximate equality within an absolute tolerance.