Comparison of the real and Fourier space implementations. Left: power spectra of a 5° ×5° AM map with 512 × 512 pixels obtained using the real space implementation (blue) and using the Fourier space implementations (orange and green lines for summed and averaged pixel binning, respectively). Compared to the real space implementation, there is a 1.2% and 1.5% loss of power for the Fourier space implementation with summed and averaged pixel binning, respectively. Right: detections obtained on the same field when the computation is undertaken in real space (blue circles) or in Fourier space using either the summed pixel binning (golden circles) or the averaged pixel binning (green circles). The Fourier space implementation with summed pixel binning is very close to the real space implementation in terms of detections. When the binning is performed by averaging the shear values, there are fewer detections, and about 30% of these detections are different from those obtained with the real space implementation.