```ts
export function carveShift(start: number, end: number, span: number, rest: number, least: number): number[][] {
  if (!Number.isInteger(start) || !Number.isInteger(end) || !Number.isInteger(span) || !Number.isInteger(rest) || !Number.isInteger(least)) {
    throw new Error("All arguments must be whole numbers.");
  }
  if (start >= end) {
    throw new Error("Start must precede end.");
  }
  if (span < 1 || rest < 1) {
    throw new Error("Span and rest must be at least 1.");
  }
  if (least < 1 || least > span) {
    throw new Error("Least must be at least 1 and no more than span.");
  }

  const stretches: number[][] = [];
  let current = start;

  while (current < end - span) {
    const stretchEnd = Math.min(current + span, end);
    if (stretchEnd - current >= least) {
      stretches.push([current, stretchEnd]);
      current = stretchEnd + rest;
    } else {
      break;
    }
  }

  return stretches;
}
```