Function trigFunction

src/compute-engine/library/trigonometry.ts:614–654

(
  operator: string,
  complexity: number,
  description?: string
)

        if (!shouldNumericize(numericApproximation, x)) return undefined;
        return apply(
          x,
          (x) => sinc(x),
          (x) => bigSinc(x)
        );
      },
    },

    /** FresnelS(x) = ∫₀ˣ sin(πt²/2) dt — odd function, S(∞) = 1/2 */
    FresnelS: {
      description: 'Fresnel sine integral.',
      complexity: 5200,
      broadcastable: true,
      signature: '(number) -> real',
      type: () => 'finite_real',
      evaluate: ([x], { numericApproximation, engine: ce }) => {
        if (!isNumber(x) || x.im !== 0) return undefined;
        // Exact special values, regardless of numericApproximation
        if (x.isSame(0)) return ce.Zero;
        if (x.isInfinity) return x.isPositive ? ce.Half : ce.Half.neg();
        if (!shouldNumericize(numericApproximation, x)) return undefined;
        return apply(
          x,
          (x) => fresnelS(x),
          (x) => bigFresnelS(x)
        );
      },
    },

    /** FresnelC(x) = ∫₀ˣ cos(πt²/2) dt — odd function, C(∞) = 1/2 */
    FresnelC: {
      description: 'Fresnel cosine integral.',
      complexity: 5200,
      broadcastable: true,
      signature: '(number) -> real',
      type: () => 'finite_real',
      evaluate: ([x], { numericApproximation, engine: ce }) => {
        if (!isNumber(x) || x.im !== 0) return undefined;
        // Exact special values, regardless of numericApproximation
        if (x.isSame(0)) return ce.Zero;
        if (x.isInfinity) return x.isPositive ? ce.Half : ce.Half.neg();
        if (!shouldNumericize(numericApproximation, x)) return undefined;
        return apply(
          x,
          (x) => fresnelC(x),