Module datafusion_functions::math::monotonicity

Functions

• acos_order
  Non-increasing on the interval [−1, 1], undefined otherwise.
• acosh_order
  Non-decreasing for x ≥ 1, undefined otherwise.
• asin_order
  Non-decreasing on the interval [−1, 1], undefined otherwise.
• asinh_order
  Non-decreasing for all real numbers.
• atan2_order
  Order depends on the quadrant.
• atan_order
  Non-decreasing for all real numbers.
• atanh_order
  Non-decreasing on the interval [−1, 1], undefined otherwise.
• cbrt_order
  Non-decreasing for all real numbers.
• ceil_order
  Non-decreasing for all real numbers.
• cos_order
  Non-increasing on [0, π] and then non-decreasing on [π, 2π]. This pattern repeats periodically with a period of 2π.
• cosh_order
  Non-decreasing for x ≥ 0 and symmetrically non-increasing for x ≤ 0.
• degrees_order
  Non-decreasing function that converts radians to degrees.
• exp_order
  Non-decreasing for all real numbers.
• floor_order
  Non-decreasing for all real numbers.
• ln_order
  Non-decreasing for x ≥ 0, undefined otherwise.
• log2_order
  Non-decreasing for x ≥ 0, undefined otherwise.
• log10_order
  Non-decreasing for x ≥ 0, undefined otherwise.
• radians_order
  Non-decreasing for all real numbers x.
• sin_order
  Non-decreasing on [0, π] and then non-increasing on [π, 2π]. This pattern repeats periodically with a period of 2π.
• sinh_order
  Non-decreasing for all real numbers.
• sqrt_order
  Non-decreasing for x ≥ 0, undefined otherwise.
• tan_order
  Non-decreasing between vertical asymptotes at x = k * π ± π / 2 for any integer k.
• tanh_order
  Non-decreasing for all real numbers.