divide

divide(x1: array, x2: array, /) → array

Calculates the division for each element x1_i of the input array x1 with the respective element x2_i of the input array x2.

Note

If one or both of the input arrays have integer data types, the result is implementation-dependent, as type promotion between data type “kinds” (e.g., integer versus floating-point) is unspecified.

Specification-compliant libraries may choose to raise an error or return an array containing the element-wise results. If an array is returned, the array must have a floating-point data type.

Special cases

For floating-point operands,

  • If either x1_i or x2_i is NaN, the result is NaN.

  • If x1_i is either +infinity or -infinity and x2_i is either +infinity or -infinity, the result is NaN.

  • If x1_i is either +0 or -0 and x2_i is either +0 or -0, the result is NaN.

  • If x1_i is +0 and x2_i is greater than 0, the result is +0.

  • If x1_i is -0 and x2_i is greater than 0, the result is -0.

  • If x1_i is +0 and x2_i is less than 0, the result is -0.

  • If x1_i is -0 and x2_i is less than 0, the result is +0.

  • If x1_i is greater than 0 and x2_i is +0, the result is +infinity.

  • If x1_i is greater than 0 and x2_i is -0, the result is -infinity.

  • If x1_i is less than 0 and x2_i is +0, the result is -infinity.

  • If x1_i is less than 0 and x2_i is -0, the result is +infinity.

  • If x1_i is +infinity and x2_i is a positive (i.e., greater than 0) finite number, the result is +infinity.

  • If x1_i is +infinity and x2_i is a negative (i.e., less than 0) finite number, the result is -infinity.

  • If x1_i is -infinity and x2_i is a positive (i.e., greater than 0) finite number, the result is -infinity.

  • If x1_i is -infinity and x2_i is a negative (i.e., less than 0) finite number, the result is +infinity.

  • If x1_i is a positive (i.e., greater than 0) finite number and x2_i is +infinity, the result is +0.

  • If x1_i is a positive (i.e., greater than 0) finite number and x2_i is -infinity, the result is -0.

  • If x1_i is a negative (i.e., less than 0) finite number and x2_i is +infinity, the result is -0.

  • If x1_i is a negative (i.e., less than 0) finite number and x2_i is -infinity, the result is +0.

  • If x1_i and x2_i have the same mathematical sign and are both nonzero finite numbers, the result has a positive mathematical sign.

  • If x1_i and x2_i have different mathematical signs and are both nonzero finite numbers, the result has a negative mathematical sign.

  • In the remaining cases, where neither -infinity, +0, -0, nor NaN is involved, the quotient must be computed and rounded to the nearest representable value according to IEEE 754-2019 and a supported rounding mode. If the magnitude is too large to represent, the operation overflows and the result is an infinity of appropriate mathematical sign. If the magnitude is too small to represent, the operation underflows and the result is a zero of appropriate mathematical sign.

Parameters:

  • x1 (array) – dividend input array. Should have a numeric data type.

  • x2 (array) – divisor input array. Must be compatible with x1 (see Broadcasting). Should have a numeric data type.

Returns:

out (array) – an array containing the element-wise results. The returned array must have a floating-point data type determined by Type Promotion Rules.