Talk:Absolute difference

arm neon instruction

Is it worth noting that the ARM CPU has a absolute difference instruction. http://infocenter.arm.com/help/topic/com.arm.doc.dui0491c/BABEDJFB.html

Expressions used as absolute differences and their squares

Latest comment: 11 months ago1 comment1 person in discussion

There are expressions used as absolute differences and their squares.

  • (u1 + u2)(v1 + v2)(u1 + v1)(u2 + v2) – (u1 + u2 + v1 + v2)(u1u2v1 + u1u2v2 + u1v1v2 + u2v1v2) = (u1v2 – u2v1)2
  • √(u1 + u2)(v1 + v2)(u1 + v1)(u2 + v2) – (u1 + u2 + v1 + v2)(u1u2v1 + u1u2v2 + u1v1v2 + u2v1v2) = |u1v2 – u2v1|
  • (E1 + E2)(R1 + R2)(E1 + R1)(E2 + R2) – (E1 + E2 + R1 + R2)(E1E2R1 + E1E2R2 + E1R1R2 + E2R1R2) = (E1R2 – E2R1)2
  • √(E1 + E2)(R1 + R2)(E1 + R1)(E2 + R2) – (E1 + E2 + R1 + R2)(E1E2R1 + E1E2R2 + E1R1R2 + E2R1R2) = |E1R2 – E2R1|
  • (x1 + x2)(y1 + y2)(x1 + y1)(x2 + y2) – (x1 + x2 + y1 + y2)(x1x2y1 + x1x2y2 + x1y1y2 + x2y1y2) = (x1y2 – x2y1)2
  • √(x1 + x2)(y1 + y2)(x1 + y1)(x2 + y2) – (x1 + x2 + y1 + y2)(x1x2y1 + x1x2y2 + x1y1y2 + x2y1y2) = |x1y2 – x2y1|
  • (m + n)(p + q)(m + p)(n + q) – (m + n + p + q)(mnp + mnq + mpq + npq) = (mq – np)2
  • √(m + n)(p + q)(m + p)(n + q) – (m + n + p + q)(mnp + mnq + mpq + npq) = |mq – np|

172.56.35.162 (talk) 13:08, 16 September 2025 (UTC)Reply

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