feat(binary): add binary/one-hot conversions

packages/binary/src/index.ts

@@ -8,6 +8,7 @@ export * from "./float";
 export * from "./gray";
 export * from "./logic";
 export * from "./mask";
+export * from "./one-hot";
 export * from "./pow";
 export * from "./rotate";
 export * from "./splat";

packages/binary/src/one-hot.ts

@@ -0,0 +1,22 @@
+import type { Range0_31 } from "@thi.ng/api";
+import { clz32 } from "./count";
+
+/**
+ * Converts binary `x` to one-hot format.
+ *
+ * @remarks
+ * Reference: https://en.wikipedia.org/wiki/One-hot
+ *
+ * @param x
+ */
+export const binaryOneHot = (x: Range0_31) => (1 << x) >>> 0;
+
+/**
+ * Converts one-hot `x` into binary, i.e. the position of the hot bit.
+ *
+ * @remarks
+ * Reference: https://en.wikipedia.org/wiki/One-hot
+ *
+ * @param x
+ */
+export const oneHotBinary = (x: number) => 31 - clz32(x);