Blog post: New conversion from cgroup v1 CPU shares to v2 CPU weight

Signed-off-by: Itamar Holder <iholder@redhat.com>

Author: iholder101

content/en/blog/_posts/2025-10-25-new-cgroup-v1-to-v2-conversion-formula-linear-conversion.png

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+---
+layout: blog
+title: 'New conversion from cgroup v1 CPU shares to v2 CPU weight'
+date: 2025-10-25T05:00:00-08:00
+draft: true
+math: true
+slug: new-cgroup-v1-to-v2-cpu-conversion-formula
+author: >
+   [Itamar Holder](https://github.com/iholder101) (Red Hat)
+---
+
+I'm excited to announce the implementation of an improved conversion formula 
+from cgroup v1 CPU shares to cgroup v2 CPU weight. This enhancement addresses 
+critical issues with CPU priority allocation for Kubernetes workloads when 
+running on systems with cgroup v2.
+
+## Background
+
+Kubernetes was originally designed with cgroup v1 in mind, where CPU shares 
+were defined simply by assigning the container's CPU requests in millicpu 
+form. 
+
+For example, a container requesting 1 CPU (1024m) would get \(cpu.shares = 1024\).
+
+After a while, cgroup v1 was stared being replaced by its successor, 
+cgroup v2. In cgroup v2, the concept of CPU shares (which ranges from 2 to 
+262144, or from \(2^1\) to \(2^18\)) was replaced with CPU weight (which ranges from 
+\([1, 10000]\), or \(10^0\) to \(10^4\).
+
+With the transition to cgroup v2, 
+[KEP-2254](https://github.com/kubernetes/enhancements/tree/master/keps/sig-node/2254-cgroup-v2) 
+introduced a conversion formula to map cgroup v1 CPU shares to cgroup v2 CPU 
+weight. The conversion formula was defined as:
+
+```math
+cpu.weight = (1 + ((cpu.shares - 2) * 9999) / 262142)
+```
+
+This formula linearly maps between \([2^1 - 2^18]\) to \([10^0 - 10^4]\).
+![2025-10-25-new-cgroup-v1-to-v2-conversion-formula-linear-conversion.png](2025-10-25-new-cgroup-v1-to-v2-conversion-formula-linear-conversion.png)
+
+While this approach is simple, the linear mapping imposes a few significant 
+problems and impacts both performance and configuration granularity.
+
+## Problems with Previous Conversion Formula
+
+The current conversion formula creates two major issues:
+
+### 1. Reduced Priority Against Non-Kubernetes Workloads
+
+In cgroup v1, the default CPU shares is `1024`, meaning a container 
+requesting 1 CPU has equal priority with system processes that live outside 
+of Kubernetes' scope.
+However, in cgroup v2, the default CPU weight is `100`, but the current 
+formula converts 1 CPU (1024m) to only `~39` weight - less than 40% of the 
+default.
+
+**Example:**
+- Container requesting 1 CPU (1024m)
+- cgroup v1: `cpu.shares = 1024` (equal to default)
+- cgroup v2 (current): `cpu.weight = 39` (much lower than default 100)
+
+This means that after moving to cgroup v2, Kubernetes (or, OCI) workloads would 
+de-factor reduce their CPU priority against non-Kubernetes processes. The 
+problem can be severe for setups with many system daemons that run 
+outside of Kubernetes' scope and expect Kubernetes workloads to have 
+priority, especially in situations of resource starvation.
+
+### 2. Unmanageable Granularity
+
+The current formula produces very low values for small CPU requests, 
+limiting the ability to create sub-cgroups within containers for 
+fine-grained resource distribution (which will possibly be much easier moving
+forward, see [KEP #5474](https://github.com/kubernetes/enhancements/issues/5474) for more info).
+
+**Example:**
+- Container requesting 100m CPU
+- cgroup v1: `cpu.shares = 102`
+- cgroup v2 (current): `cpu.weight = 4` (too low for sub-cgroup 
+  configuration)
+
+With cgroup v1, requesting 1 CPU which led to 102 CPU shares was manageable 
+in the sense that sub-cgroups could have been created inside the main 
+container, assigning fine-grained CPU priorities for different groups of 
+processes. With cgroup v2 however, having 4 shares is very hard to 
+distribute between sub-cgroups since it's not granular enough.
+
+With plans to allow [writable cgroups for unprivileged containers](https://github.com/kubernetes/enhancements/issues/5474),
+this becomes even 
+more relevant.
+
+## New Conversion Formula
+
+### Description
+The new formula is more complicated, but does a much better job mapping 
+between cgroup v1 CPU shares and cgroup v2 CPU weight:
+
+```math
+cpu.weight = \lceil 10^{(L^2/612 + 125L/612 - 7/34)} \rceil, where: L = log₂(cpu.shares)
+```
+
+The idea is that this is a quadratic function to cross the following values:
+- (2, 1): The minimum values for both ranges.
+- (1024, 100): The default values for both ranges.
+- (262144, 10000): The maximum values for both ranges.
+
+Visually, the new function looks as follows:
+![2025-10-25-new-cgroup-v1-to-v2-conversion-formula-new-conversion.png](2025-10-25-new-cgroup-v1-to-v2-conversion-formula-new-conversion.png)
+
+And if we zoom in to the important part:
+![2025-10-25-new-cgroup-v1-to-v2-conversion-formula-new-conversion-zoom.png](2025-10-25-new-cgroup-v1-to-v2-conversion-formula-new-conversion-zoom.png)
+
+The new formula is "close to linear", yet it is sophistically designed to 
+map the ranges in a clever way so the three important points above would 
+cross.
+
+### How It Solves the Problems
+
+1. **Better Priority Alignment:**
+- Container requesting 1 CPU (1024m) will now get a `cpu.weight = 102`. This 
+  value is close to cgroup v2's default 100.
+- This restores the intended priority relationship between Kubernetes 
+  workloads and system processes.
+
+2. **Improved Granularity:**
+- Container requesting 100m CPU will get `cpu.weight = 17`, (see 
+  [here](https://go.dev/play/p/sLlAfCg54Eg)).
+- Enables better fine-grained resource distribution within containers.
+
+## Adoption and integration
+
+This change was implemented as an OCI-level implementation.
+In other words, this is not implemented Kubernetes itself, therefore the 
+adoption of the new conversion formula depends solely on the OCI runtime 
+adoption.
+
+For example:
+* runc: The new formula is enabled from version [1.3.2](https://github.com/opencontainers/runc/releases/tag/v1.3.2).
+* crun: The new formula is enabled from version [1.23](https://github.com/containers/crun/releases/tag/1.23).
+
+### Impact on Existing Deployments
+
+**Important:** Some consumers may be affected if they assume the older linear conversion formula.
+Applications or monitoring tools that directly calculate expected CPU weight values based on the
+previous formula may need updates to account for the new quadratic conversion.
+This is particularly relevant for:
+
+- Custom resource management tools that predict CPU weight values.
+- Monitoring systems that validate or expect specific weight values.
+- Applications that programmatically set or verify CPU weight values.
+
+We recommend testing the new conversion formula in non-production environments before
+upgrading OCI runtimes to ensure compatibility with existing tooling.
+
+## Where Can I Learn More?
+
+For those interested in this enhancement:
+
+- [Kubernetes GitHub Issue #131216](https://github.com/kubernetes/kubernetes/issues/131216) - Detailed technical 
+analysis and examples, including discussions and reasoning for choosing the 
+above formula.
+- [KEP-2254: cgroup v2](https://github.com/kubernetes/enhancements/tree/master/keps/sig-node/2254-cgroup-v2) - 
+Original cgroup v2 implementation in Kubernetes.
+- [Kubernetes cgroup documentation](https://kubernetes.io/docs/concepts/configuration/manage-resources-containers/) - 
+Current resource management guidance.
+
+## How Do I Get Involved?
+
+For those interested in getting involved with Kubernetes node-level 
+features, join the [Kubernetes Node Special Interest Group](https://github.com/kubernetes/community/tree/master/sig-node).
+We always welcome new contributors and diverse perspectives on resource management 
+challenges.