erfcinv — Compute inverse complementary error-function values.

erfcinv(X) returns the value Y such that erfc(Y) = X, evaluated element by element for real single or double inputs.

Syntax

Y = erfcinv(X)

Inputs

Returns

Errors

How erfcinv works

• Inputs in the interval [0, 2] return real outputs.
• erfcinv(0) returns Inf, erfcinv(1) returns 0, and erfcinv(2) returns -Inf.
• Inputs outside [0, 2] return NaN.
• NaN values propagate to NaN outputs.
• Logical, integer-class, char, complex, string, and sparse inputs are rejected.

Does RunMat run erfcinv on the GPU?

WGPU and the simple provider implement unary_erfcinv for real dense buffers.

The provider path preserves shape, NaN, endpoint, and single/double dtype behavior.

GPU memory and residency

G = gpuArray([0.5 1.5]);
Y = erfcinv(G)

Expected behavior: Y contains the inverse complementary error-function values and remains GPU-resident through the active provider.

Examples

Invert complementary error-function values

x = [0.25 0.5 1 1.5 1.75];
y = erfcinv(x)

Expected output:

y contains real values satisfying erfc(y) == x

Check endpoint behavior

erfcinv([0 1 2])

Expected output:

[Inf 0 -Inf]

Preserve array shape

X = reshape([0.5 1 1.5 2], [2 2]);
Y = erfcinv(X)

Expected output:

Y is a 2-by-2 numeric array

Use GPU inputs

G = gpuArray([0.5 1.5]);
Y = erfcinv(G)

Expected output:

Y is computed with the same numeric semantics as host inputs

Using erfcinv with coding agents

Open a RunMat example with live inputs, then ask the agent to explain how erfcinv changes the result.

FAQ

Related Math functions

Open-source implementation

Unlike proprietary runtimes, every RunMat function is open-source. Read exactly how erfcinv is executed, line by line, in Rust.

• View the source for erfcinv in Rust on GitHub
• Learn how the RunMat runtime works
• Found a bug? Open an issue with a minimal reproduction.

About RunMat

RunMat is an open-source runtime that executes MATLAB-syntax code blazing on any GPU. It is licensed under the Apache 2.0 license.

• RunMat automatically optimizes your math for GPU execution on Apple, Nvidia, and AMD hardware. No code changes needed. Simulations that took hours now take minutes.
• Start running code in seconds. RunMat runs in the browser, on the desktop, or from the CLI. No license server, no IT ticket.

Getting started · Benchmarks · Pricing