First and second forms of a complex multiply instruction are provided for operating on first and second operand vectors comprising multiple data elements including at least one real data element for representing the real part of a complex number and at least one imaginary element for representing an imaginary part of the complex number. One of the first and second forms of the instruction targets at least one real element of the destination vector and the other targets at least one imaginary element. By executing one of each instruction, complex multiplications of the form (a+ib)*(c+id) can be calculated using relatively few instructions and with only two vector register read ports, enabling DSP algorithms such as FFTs to be calculated more efficiently using relatively low power hardware implementations.
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