doctest failure in src/overview.md:8-29 ```jldoctest; output = false, setup = :(using NFFT, Random; Random.seed!(1)) using NFFT J, N = 8, 16 k = range(-0.4, stop=0.4, length=J) # nodes at which the NFFT is evaluated f = randn(ComplexF64, J) # data to be transformed p = plan_nfft(k, N, reltol=1e-9) # create plan fHat = adjoint(p) * f # calculate adjoint NFFT y = p * fHat # calculate forward NFFT # output 8-element Vector{ComplexF64}: -2.7271960749618147 + 3.8456244592089193im -10.845195849950795 + 28.19548075631714im 14.03623366689872 + 1.6000052060508116im 21.40183412153706 - 11.485663941957627im -13.314941250611934 - 5.0460967285430085im -6.727872247343835 + 13.675812003697747im 4.774802667091787 - 1.3445454002125357im 16.242902197408224 + 4.374305558267848im ``` Subexpression: using NFFT J, N = 8, 16 k = range(-0.4, stop=0.4, length=J) # nodes at which the NFFT is evaluated f = randn(ComplexF64, J) # data to be transformed p = plan_nfft(k, N, reltol=1e-9) # create plan fHat = adjoint(p) * f # calculate adjoint NFFT y = p * fHat # calculate forward NFFT Evaluated output: 8-element Vector{ComplexF64}: -2.7271960750455873 + 3.8456244592301676im -10.845195849921891 + 28.195480756172714im 14.036233667047407 + 1.6000052060038412im 21.401834121576844 - 11.485663942028701im -13.314941250713122 - 5.046096728579447im -6.727872247485432 + 13.67581200372671im 4.774802667002909 - 1.3445454002024853im 16.242902197461216 + 4.3743055582420105im Expected output: 8-element Vector{ComplexF64}: -2.7271960749618147 + 3.8456244592089193im -10.845195849950795 + 28.19548075631714im 14.03623366689872 + 1.6000052060508116im 21.40183412153706 - 11.485663941957627im -13.314941250611934 - 5.0460967285430085im -6.727872247343835 + 13.675812003697747im 4.774802667091787 - 1.3445454002125357im 16.242902197408224 + 4.374305558267848im diff = Warning: Diff output requires color. 8-element Vector{ComplexF64}: -2.7271960749618147 -2.7271960750455873 + 3.8456244592089193im -10.845195849950795 3.8456244592301676im -10.845195849921891 + 28.19548075631714im 14.03623366689872 28.195480756172714im 14.036233667047407 + 1.6000052060508116im 21.40183412153706 1.6000052060038412im 21.401834121576844 - 11.485663941957627im -13.314941250611934 11.485663942028701im -13.314941250713122 - 5.0460967285430085im -6.727872247343835 5.046096728579447im -6.727872247485432 + 13.675812003697747im 4.774802667091787 13.67581200372671im 4.774802667002909 - 1.3445454002125357im 16.242902197408224 1.3445454002024853im 16.242902197461216 + 4.374305558267848im4.3743055582420105im

doctest failure in src/overview.md:33-60 ```jldoctest; output = false, setup = :(using NFFT, Random; Random.seed!(1)) J, N = 16, 32 k = rand(2, J) .- 0.5 f = randn(ComplexF64, J) p = plan_nfft(k, (N,N), reltol=1e-9) fHat = adjoint(p) * f y = p * fHat # output 16-element Vector{ComplexF64}: 720.6895322185169 + 965.5238823656156im -437.3350182871744 + 342.76233801285343im -254.2540698800256 + 443.98830704210474im -22.031291597035764 - 1154.6436407643148im -553.2097750887631 + 870.1410092328575im -502.9985672100639 - 345.1896840480444im -113.39126060229778 - 58.42376028629184im 809.2621963819311 + 440.7093087199319im 328.7372432755839 - 1199.2654551345026im -135.96498544538673 - 1231.1920536412733im -62.366745207758484 - 1112.5395014452238im -1232.9994882937272 - 1753.9813744663502im 670.645665270049 + 1123.1414479604593im -520.606923875403 - 69.30438918655777im -347.30015266563146 - 1573.5948177902806im 654.2300617100433 + 458.56688307993295im ``` Subexpression: J, N = 16, 32 k = rand(2, J) .- 0.5 f = randn(ComplexF64, J) p = plan_nfft(k, (N,N), reltol=1e-9) fHat = adjoint(p) * f y = p * fHat Evaluated output: 16-element Vector{ComplexF64}: 720.689532212049 + 965.5238823533358im -437.3350182902921 + 342.762338015117im -254.254069878534 + 443.98830703906657im -22.0312915976327 - 1154.6436407707447im -553.2097750978457 + 870.1410092469822im -502.9985672117599 - 345.1896840492254im -113.39126060291234 - 58.42376028614015im 809.2621963784362 + 440.7093087192108im 328.7372432777278 - 1199.2654551418188im -135.9649854457414 - 1231.1920536402204im -62.36674520708793 - 1112.5395014565095im -1232.9994883040208 - 1753.9813744814123im 670.6456652742795 + 1123.1414479652183im -520.6069238739642 - 69.30438918637107im -347.30015266643517 - 1573.5948177902885im 654.2300617098213 + 458.5668830808395im Expected output: 16-element Vector{ComplexF64}: 720.6895322185169 + 965.5238823656156im -437.3350182871744 + 342.76233801285343im -254.2540698800256 + 443.98830704210474im -22.031291597035764 - 1154.6436407643148im -553.2097750887631 + 870.1410092328575im -502.9985672100639 - 345.1896840480444im -113.39126060229778 - 58.42376028629184im 809.2621963819311 + 440.7093087199319im 328.7372432755839 - 1199.2654551345026im -135.96498544538673 - 1231.1920536412733im -62.366745207758484 - 1112.5395014452238im -1232.9994882937272 - 1753.9813744663502im 670.645665270049 + 1123.1414479604593im -520.606923875403 - 69.30438918655777im -347.30015266563146 - 1573.5948177902806im 654.2300617100433 + 458.56688307993295im diff = Warning: Diff output requires color. 16-element Vector{ComplexF64}: 720.6895322185169 Vector{ComplexF64}: 720.689532212049 + 965.5238823656156im -437.3350182871744 965.5238823533358im -437.3350182902921 + 342.76233801285343im -254.2540698800256 342.762338015117im -254.254069878534 + 443.98830704210474im -22.031291597035764 443.98830703906657im -22.0312915976327 - 1154.6436407643148im -553.2097750887631 1154.6436407707447im -553.2097750978457 + 870.1410092328575im -502.9985672100639 870.1410092469822im -502.9985672117599 - 345.1896840480444im -113.39126060229778 345.1896840492254im -113.39126060291234 - 58.42376028629184im 809.2621963819311 58.42376028614015im 809.2621963784362 + 440.7093087199319im 328.7372432755839 440.7093087192108im 328.7372432777278 - 1199.2654551345026im -135.96498544538673 1199.2654551418188im -135.9649854457414 - 1231.1920536412733im -62.366745207758484 1231.1920536402204im -62.36674520708793 - 1112.5395014452238im -1232.9994882937272 1112.5395014565095im -1232.9994883040208 - 1753.9813744663502im 670.645665270049 1753.9813744814123im 670.6456652742795 + 1123.1414479604593im -520.606923875403 1123.1414479652183im -520.6069238739642 - 69.30438918655777im -347.30015266563146 69.30438918637107im -347.3001526664

doctest failure in src/overview.md:202-225 ```jldoctest dirtest; output = false p2 = plan_nfft(y, N, dims=2) fHat = p2 * f # output 16×11 Matrix{ComplexF64}: -1.2312-3.45007im 6.43491-4.46477im … -1.88826-2.91321im -0.281379+1.37813im -4.88081-0.889356im -0.94608+2.51003im 1.49572+3.05331im -0.525319-3.37755im 1.43442-0.676892im 8.00332-5.61567im 2.67785+3.48995im -0.324491+3.55733im 1.96454+4.89765im -1.77692-3.68016im 4.09195+1.99918im -2.74732-4.93112im -1.19153-5.33387im … 0.649073+1.72837im -5.85823+2.67833im 1.91555+3.08714im -3.72587+4.33492im -4.4272-1.14999im 5.80954-2.01982im 0.18063+1.87824im -1.83403+5.13397im -4.28511-5.76414im 0.879507-0.137346im 2.06692-4.06805im 1.81543+1.60781im -0.882862+3.75418im -1.04478-4.80547im -1.0337+0.599923im … 5.50257-4.32352im -0.694815+2.00596im -3.01205-4.17965im 8.24652+4.83723im 3.78288+3.9056im -0.710089-4.57289im -1.25317+0.670477im 1.24214+1.29899im -2.48109+2.64126im 4.87461+2.83695im 1.26369-6.68109im -0.535623-0.938771im 1.33986+3.18496im -1.24022-0.748321im -0.733792-4.42309im … -1.23914+5.39389im ``` Subexpression: p2 = plan_nfft(y, N, dims=2) fHat = p2 * f Evaluated output: 16×11 Matrix{ComplexF64}: -1.2312-3.45007im 6.43491-4.46477im … -1.88826-2.91321im -0.281379+1.37813im -4.88081-0.889356im -0.94608+2.51003im 1.49572+3.05331im -0.525319-3.37755im 1.43442-0.676892im 8.00332-5.61567im 2.67785+3.48995im -0.324491+3.55733im 1.96454+4.89765im -1.77692-3.68016im 4.09195+1.99918im -2.74732-4.93112im -1.19153-5.33387im … 0.649073+1.72837im -5.85823+2.67833im 1.91555+3.08714im -3.72587+4.33492im -4.4272-1.14999im 5.80954-2.01982im 0.18063+1.87824im -1.83403+5.13397im -4.28511-5.76414im 0.879507-0.137346im 2.06692-4.06805im 1.81543+1.60781im -0.882862+3.75418im -0.840898-4.7404im -0.876844+0.745518im … 5.3795-4.14843im -0.694815+2.00596im -3.01205-4.17965im 8.24652+4.83723im 3.78288+3.9056im -0.710089-4.57289im -1.25317+0.670477im 1.24214+1.29899im -2.48109+2.64126im 4.87461+2.83695im 1.26369-6.68109im -0.535623-0.938771im 1.33986+3.18496im -1.24022-0.748321im -0.733792-4.42309im … -1.23914+5.39389im Expected output: 16×11 Matrix{ComplexF64}: -1.2312-3.45007im 6.43491-4.46477im … -1.88826-2.91321im -0.281379+1.37813im -4.88081-0.889356im -0.94608+2.51003im 1.49572+3.05331im -0.525319-3.37755im 1.43442-0.676892im 8.00332-5.61567im 2.67785+3.48995im -0.324491+3.55733im 1.96454+4.89765im -1.77692-3.68016im 4.09195+1.99918im -2.74732-4.93112im -1.19153-5.33387im … 0.649073+1.72837im -5.85823+2.67833im 1.91555+3.08714im -3.72587+4.33492im -4.4272-1.14999im 5.80954-2.01982im 0.18063+1.87824im -1.83403+5.13397im -4.28511-5.76414im 0.879507-0.137346im 2.06692-4.06805im 1.81543+1.60781im -0.882862+3.75418im -1.04478-4.80547im -1.0337+0.599923im … 5.50257-4.32352im -0.694815+2.00596im -3.01205-4.17965im 8.24652+4.83723im 3.78288+3.9056im -0.710089-4.57289im -1.25317+0.670477im 1.24214+1.29899im -2.48109+2.64126im 4.87461+2.83695im 1.26369-6.68109im -0.535623-0.938771im 1.33986+3.18496im -1.24022-0.748321im -0.733792-4.42309im … -1.23914+5.39389im diff = Warning: Diff output requires color. 16×11 Matrix{ComplexF64}: -1.2312-3.45007im 6.43491-4.46477im … -1.88826-2.91321im -0.281379+1.37813im -4.88081-0.889356im -0.94608+2.51003im 1.49572+3.05331im -0.525319-3.37755im 1.43442-0.676892im 8.00332-5.61567im 2.67785+3.48995im -0.324491+3.55733im 1.96454+4.89765im -1.77692-3.68016im 4.09195+1.99918im -2.74732-4.93112im -1.19153-5.33387im … 0.649073+1

doctest failure in ~/.julia/packages/NFFTTools/UlGIF/src/Toeplitz.jl:23-75 ```jldoctest; output = false, setup = :(using NFFT, NFFTTools, Random; Random.seed!(1)) julia> Nx = 32; julia> trj = Float32.(rand(2, 1000) .- 0.5); julia> λ = calculateToeplitzKernel((Nx, Nx), trj) 64×64 Matrix{ComplexF32}: -432.209+297.833im 271.68-526.348im … 3044.35+34.6322im 990.057-244.569im -582.825+473.084im 45.7631-87.8965im 1922.01+223.525im 9248.63-452.04im 3649.78+108.941im -402.371-3.37619im 496.815+231.891im 322.646-329.089im -482.346-121.534im 559.756-106.981im 155.183+454.0im 3293.8+194.388im -3361.43+34.1272im … 2672.16-526.853im -936.331+172.246im 4394.11-400.762im -1121.04+160.219im -135.828+169.448im 3509.17+59.0678im 3883.84-501.913im 395.143+158.638im 24.4377-387.153im 5731.3+173.827im 925.902-117.765im 2935.3+346.28im -1414.12-214.701im ⋮ ⋱ 2239.72-295.883im 490.442+524.399im … 2028.84-36.5824im -1108.11+227.146im 24.7403-455.661im -549.699+105.319im 1323.78+110.713im -321.052+117.802im 651.944-443.178im -52.1597+288.0im -326.042-516.516im 3619.1+44.4651im 1180.56+73.3666im -26.1233+155.148im -869.065-405.832im 3555.36+649.527im -198.245-878.042im … 1198.83-317.062im -368.958-177.954im -360.343+406.469im -1478.96-154.512im 4861.29+38.9623im 6082.55-267.478im 2519.09+293.503im 1022.55-185.869im 177.426+414.384im 3650.56-146.597im julia> y = randn(ComplexF32, Nx, Nx); julia> convolveToeplitzKernel!(y, λ) 32×32 Matrix{ComplexF32}: 177.717-52.0493im 10.6059+20.7185im … 746.131+330.005im -311.858+988.219im -1216.83-1295.14im 410.732+751.925im -1082.27+872.968im 1023.97-1556.45im -923.699+478.63im -999.035-525.161im -1694.59-658.558im -521.044+607.005im -342.999+1481.82im -1729.18-2712.81im 56.5212+1394.81im -1187.65-1979.55im 1389.67+970.033im … 2968.93-744.264im -666.533+485.511im -1315.83+409.855im -610.146+132.258im 1159.57+64.6059im -299.169-569.622im 663.802+396.827im -795.112-1464.63im -462.43+2442.77im -1622.72+1701.27im -1047.67+31.5578im -1127.65-936.043im 474.071+797.911im ⋮ ⋱ 327.345+2191.71im -904.635+558.786im -1449.32-276.721im -1047.2-71.362im 363.109+567.346im -1974.0-2348.36im -1540.45+1661.77im 1175.75+1279.75im … 1110.61+653.234im -526.832-435.297im -265.021-2019.08im 68.5607-323.086im -1076.52-2719.16im -477.005+2232.06im -155.59-1275.66im 1143.76-735.966im -380.489+2485.78im 1812.17-261.191im 1685.44-1243.29im 1911.16-1157.72im -991.639-42.8214im 1054.11-1282.41im 66.9358-588.991im … -952.238+1026.35im -417.276-273.367im -946.698+1971.77im -890.339-882.05im ``` Subexpression: λ = calculateToeplitzKernel((Nx, Nx), trj) Evaluated output: 64×64 Matrix{ComplexF32}: -432.217+297.834im 271.685-526.349im … 3044.35+34.632im 990.059-244.569im -582.83+473.084im 45.764-87.8965im 1922.0+223.525im 9248.64-452.04im 3649.78+108.941im -402.37-3.37622im 496.812+231.891im 322.647-329.09im -482.348-121.535im 559.758-106.98im 155.184+454.001im 3293.8+194.388im -3361.44+34.1275im … 2672.17-526.854im -936.332+172.248im 4394.11-400.763im -1121.05+160.218im -135.83+169.448im 3509.17+59.0674im 3883.84-501.914im 395.145+158.639im 24.436-387.153im 5731.3+173.827im 925.903-117.765im 2935.3+346.28im -1414.13-214.701im ⋮ ⋱ 2239.73-295.885im 490.443+524.4im … 2028.84-36.5808im -1108.11+227.146im 24.741-455.661im -549.697+105.32im 1323.79+110.713im -321.055+117.802im 651.943-443.179im -52.162+288.001im -326.04-516.516im 3619.1+44.4653im 1180.55+73.367im -26.1239+155.148im -869.065-405.833im 3555.37+649.529im -198.252-878.045im … 1198.84-317.064im -368.961-177.955im -360.347+406.47im -1478.97-15

doctest failure in ~/.julia/packages/NFFTTools/UlGIF/src/Toeplitz.jl:23-75 ```jldoctest; output = false, setup = :(using NFFT, NFFTTools, Random; Random.seed!(1)) julia> Nx = 32; julia> trj = Float32.(rand(2, 1000) .- 0.5); julia> λ = calculateToeplitzKernel((Nx, Nx), trj) 64×64 Matrix{ComplexF32}: -432.209+297.833im 271.68-526.348im … 3044.35+34.6322im 990.057-244.569im -582.825+473.084im 45.7631-87.8965im 1922.01+223.525im 9248.63-452.04im 3649.78+108.941im -402.371-3.37619im 496.815+231.891im 322.646-329.089im -482.346-121.534im 559.756-106.981im 155.183+454.0im 3293.8+194.388im -3361.43+34.1272im … 2672.16-526.853im -936.331+172.246im 4394.11-400.762im -1121.04+160.219im -135.828+169.448im 3509.17+59.0678im 3883.84-501.913im 395.143+158.638im 24.4377-387.153im 5731.3+173.827im 925.902-117.765im 2935.3+346.28im -1414.12-214.701im ⋮ ⋱ 2239.72-295.883im 490.442+524.399im … 2028.84-36.5824im -1108.11+227.146im 24.7403-455.661im -549.699+105.319im 1323.78+110.713im -321.052+117.802im 651.944-443.178im -52.1597+288.0im -326.042-516.516im 3619.1+44.4651im 1180.56+73.3666im -26.1233+155.148im -869.065-405.832im 3555.36+649.527im -198.245-878.042im … 1198.83-317.062im -368.958-177.954im -360.343+406.469im -1478.96-154.512im 4861.29+38.9623im 6082.55-267.478im 2519.09+293.503im 1022.55-185.869im 177.426+414.384im 3650.56-146.597im julia> y = randn(ComplexF32, Nx, Nx); julia> convolveToeplitzKernel!(y, λ) 32×32 Matrix{ComplexF32}: 177.717-52.0493im 10.6059+20.7185im … 746.131+330.005im -311.858+988.219im -1216.83-1295.14im 410.732+751.925im -1082.27+872.968im 1023.97-1556.45im -923.699+478.63im -999.035-525.161im -1694.59-658.558im -521.044+607.005im -342.999+1481.82im -1729.18-2712.81im 56.5212+1394.81im -1187.65-1979.55im 1389.67+970.033im … 2968.93-744.264im -666.533+485.511im -1315.83+409.855im -610.146+132.258im 1159.57+64.6059im -299.169-569.622im 663.802+396.827im -795.112-1464.63im -462.43+2442.77im -1622.72+1701.27im -1047.67+31.5578im -1127.65-936.043im 474.071+797.911im ⋮ ⋱ 327.345+2191.71im -904.635+558.786im -1449.32-276.721im -1047.2-71.362im 363.109+567.346im -1974.0-2348.36im -1540.45+1661.77im 1175.75+1279.75im … 1110.61+653.234im -526.832-435.297im -265.021-2019.08im 68.5607-323.086im -1076.52-2719.16im -477.005+2232.06im -155.59-1275.66im 1143.76-735.966im -380.489+2485.78im 1812.17-261.191im 1685.44-1243.29im 1911.16-1157.72im -991.639-42.8214im 1054.11-1282.41im 66.9358-588.991im … -952.238+1026.35im -417.276-273.367im -946.698+1971.77im -890.339-882.05im ``` Subexpression: convolveToeplitzKernel!(y, λ) Evaluated output: 32×32 Matrix{ComplexF32}: 178.169-48.6708im 12.9518+21.8056im … 749.91+324.029im -317.004+988.44im -1214.48-1299.27im 410.381+747.909im -1087.78+870.916im 1028.41-1556.78im -920.652+477.518im -1007.2-526.453im -1691.3-663.165im -524.921+600.5im -348.506+1479.8im -1725.2-2714.59im 51.0908+1390.72im -1180.14-1977.12im 1391.15+969.678im … 2966.56-737.661im -666.762+478.188im -1309.84+404.228im -607.705+129.812im 1154.85+65.4264im -301.902-570.698im 661.818+395.093im -786.583-1455.54im -465.185+2436.7im -1623.73+1694.6im -1045.34+28.3081im -1123.31-930.45im 469.764+799.731im ⋮ ⋱ 324.714+2197.86im -909.22+565.227im -1453.51-278.172im -1049.93-74.5577im 360.754+577.881im -1977.2-2348.59im -1542.49+1658.0im 1167.51+1285.3im … 1107.94+651.439im -528.651-435.216im -274.957-2013.84im 63.0088-327.94im -1070.11-2721.88im -480.178+2228.54im -160.381-1271.39im 1143.94-738.803im -390.363+2484.48im 1816.4-261.432im 1683.39-1242.72im 1905.95-1150.32im -990.915-47.4431im 1047

doctest failure in ~/.julia/packages/NFFTTools/UlGIF/src/Toeplitz.jl:178-219 ```jldoctest; output = false, setup = :(using NFFT, NFFTTools, Random; Random.seed!(1)) julia> using FFTW julia> Nx = 32; julia> trj = Float32.(rand(2, 1000) .- 0.5); julia> λ = calculateToeplitzKernel((Nx, Nx), trj); julia> xOS1 = similar(λ); julia> xOS2 = similar(λ); julia> fftplan = plan_fft(xOS1; flags=FFTW.MEASURE); julia> ifftplan = plan_ifft(xOS1; flags=FFTW.MEASURE); julia> y = randn(ComplexF32, Nx, Nx); julia> convolveToeplitzKernel!(y, λ, fftplan, ifftplan, xOS1, xOS2) 32×32 Matrix{ComplexF32}: 177.717-52.0493im 10.6059+20.7185im … 746.131+330.005im -311.858+988.219im -1216.83-1295.14im 410.732+751.925im -1082.27+872.968im 1023.97-1556.45im -923.699+478.63im -999.035-525.161im -1694.59-658.558im -521.044+607.005im -342.999+1481.82im -1729.18-2712.81im 56.5212+1394.81im -1187.65-1979.55im 1389.67+970.033im … 2968.93-744.264im -666.533+485.511im -1315.83+409.855im -610.146+132.258im 1159.57+64.6059im -299.169-569.622im 663.802+396.827im -795.112-1464.63im -462.43+2442.77im -1622.72+1701.27im -1047.67+31.5578im -1127.65-936.043im 474.071+797.911im ⋮ ⋱ 327.345+2191.71im -904.635+558.786im -1449.32-276.721im -1047.2-71.362im 363.109+567.346im -1974.0-2348.36im -1540.45+1661.77im 1175.75+1279.75im … 1110.61+653.234im -526.832-435.297im -265.021-2019.08im 68.5607-323.086im -1076.52-2719.16im -477.005+2232.06im -155.59-1275.66im 1143.76-735.966im -380.489+2485.78im 1812.17-261.191im 1685.44-1243.29im 1911.16-1157.72im -991.639-42.8214im 1054.11-1282.41im 66.9358-588.991im … -952.238+1026.35im -417.276-273.367im -946.698+1971.77im -890.339-882.05im ``` Subexpression: using FFTW Evaluated output: ERROR: ArgumentError: Package FFTW not found in current path. - Run `import Pkg; Pkg.add("FFTW")` to install the FFTW package. Stacktrace: [1] macro expansion @ ./loading.jl:2223 [inlined] [2] macro expansion @ ./lock.jl:273 [inlined] [3] __require(into::Module, mod::Symbol) @ Base ./loading.jl:2198 [4] #invoke_in_world#3 @ ./essentials.jl:1089 [inlined] [5] invoke_in_world @ ./essentials.jl:1086 [inlined] [6] require(into::Module, mod::Symbol) @ Base ./loading.jl:2191 Expected output: diff = Warning: Diff output requires color. ERROR: ArgumentError: Package FFTW not found in current path. - Run `import Pkg; Pkg.add("FFTW")` to install the FFTW package. Stacktrace: [1] macro expansion @ ./loading.jl:2223 [inlined] [2] macro expansion @ ./lock.jl:273 [inlined] [3] __require(into::Module, mod::Symbol) @ Base ./loading.jl:2198 [4] #invoke_in_world#3 @ ./essentials.jl:1089 [inlined] [5] invoke_in_world @ ./essentials.jl:1086 [inlined] [6] require(into::Module, mod::Symbol) @ Base ./loading.jl:2191

doctest failure in ~/.julia/packages/NFFTTools/UlGIF/src/Toeplitz.jl:178-219 ```jldoctest; output = false, setup = :(using NFFT, NFFTTools, Random; Random.seed!(1)) julia> using FFTW julia> Nx = 32; julia> trj = Float32.(rand(2, 1000) .- 0.5); julia> λ = calculateToeplitzKernel((Nx, Nx), trj); julia> xOS1 = similar(λ); julia> xOS2 = similar(λ); julia> fftplan = plan_fft(xOS1; flags=FFTW.MEASURE); julia> ifftplan = plan_ifft(xOS1; flags=FFTW.MEASURE); julia> y = randn(ComplexF32, Nx, Nx); julia> convolveToeplitzKernel!(y, λ, fftplan, ifftplan, xOS1, xOS2) 32×32 Matrix{ComplexF32}: 177.717-52.0493im 10.6059+20.7185im … 746.131+330.005im -311.858+988.219im -1216.83-1295.14im 410.732+751.925im -1082.27+872.968im 1023.97-1556.45im -923.699+478.63im -999.035-525.161im -1694.59-658.558im -521.044+607.005im -342.999+1481.82im -1729.18-2712.81im 56.5212+1394.81im -1187.65-1979.55im 1389.67+970.033im … 2968.93-744.264im -666.533+485.511im -1315.83+409.855im -610.146+132.258im 1159.57+64.6059im -299.169-569.622im 663.802+396.827im -795.112-1464.63im -462.43+2442.77im -1622.72+1701.27im -1047.67+31.5578im -1127.65-936.043im 474.071+797.911im ⋮ ⋱ 327.345+2191.71im -904.635+558.786im -1449.32-276.721im -1047.2-71.362im 363.109+567.346im -1974.0-2348.36im -1540.45+1661.77im 1175.75+1279.75im … 1110.61+653.234im -526.832-435.297im -265.021-2019.08im 68.5607-323.086im -1076.52-2719.16im -477.005+2232.06im -155.59-1275.66im 1143.76-735.966im -380.489+2485.78im 1812.17-261.191im 1685.44-1243.29im 1911.16-1157.72im -991.639-42.8214im 1054.11-1282.41im 66.9358-588.991im … -952.238+1026.35im -417.276-273.367im -946.698+1971.77im -890.339-882.05im ``` Subexpression: fftplan = plan_fft(xOS1; flags=FFTW.MEASURE); Evaluated output: ERROR: UndefVarError: `FFTW` not defined in `Main.var"Main"` Suggestion: check for spelling errors or missing imports. Hint: FFTW is loaded but not imported in the active module Main. Stacktrace: [1] top-level scope @ none:1 Expected output: diff = Warning: Diff output requires color. ERROR: UndefVarError: `FFTW` not defined in `Main.var"Main"` Suggestion: check for spelling errors or missing imports. Hint: FFTW is loaded but not imported in the active module Main. Stacktrace: [1] top-level scope @ none:1

doctest failure in ~/.julia/packages/NFFTTools/UlGIF/src/Toeplitz.jl:178-219 ```jldoctest; output = false, setup = :(using NFFT, NFFTTools, Random; Random.seed!(1)) julia> using FFTW julia> Nx = 32; julia> trj = Float32.(rand(2, 1000) .- 0.5); julia> λ = calculateToeplitzKernel((Nx, Nx), trj); julia> xOS1 = similar(λ); julia> xOS2 = similar(λ); julia> fftplan = plan_fft(xOS1; flags=FFTW.MEASURE); julia> ifftplan = plan_ifft(xOS1; flags=FFTW.MEASURE); julia> y = randn(ComplexF32, Nx, Nx); julia> convolveToeplitzKernel!(y, λ, fftplan, ifftplan, xOS1, xOS2) 32×32 Matrix{ComplexF32}: 177.717-52.0493im 10.6059+20.7185im … 746.131+330.005im -311.858+988.219im -1216.83-1295.14im 410.732+751.925im -1082.27+872.968im 1023.97-1556.45im -923.699+478.63im -999.035-525.161im -1694.59-658.558im -521.044+607.005im -342.999+1481.82im -1729.18-2712.81im 56.5212+1394.81im -1187.65-1979.55im 1389.67+970.033im … 2968.93-744.264im -666.533+485.511im -1315.83+409.855im -610.146+132.258im 1159.57+64.6059im -299.169-569.622im 663.802+396.827im -795.112-1464.63im -462.43+2442.77im -1622.72+1701.27im -1047.67+31.5578im -1127.65-936.043im 474.071+797.911im ⋮ ⋱ 327.345+2191.71im -904.635+558.786im -1449.32-276.721im -1047.2-71.362im 363.109+567.346im -1974.0-2348.36im -1540.45+1661.77im 1175.75+1279.75im … 1110.61+653.234im -526.832-435.297im -265.021-2019.08im 68.5607-323.086im -1076.52-2719.16im -477.005+2232.06im -155.59-1275.66im 1143.76-735.966im -380.489+2485.78im 1812.17-261.191im 1685.44-1243.29im 1911.16-1157.72im -991.639-42.8214im 1054.11-1282.41im 66.9358-588.991im … -952.238+1026.35im -417.276-273.367im -946.698+1971.77im -890.339-882.05im ``` Subexpression: ifftplan = plan_ifft(xOS1; flags=FFTW.MEASURE); Evaluated output: ERROR: UndefVarError: `FFTW` not defined in `Main.var"Main"` Suggestion: check for spelling errors or missing imports. Hint: FFTW is loaded but not imported in the active module Main. Stacktrace: [1] top-level scope @ none:1 Expected output: diff = Warning: Diff output requires color. ERROR: UndefVarError: `FFTW` not defined in `Main.var"Main"` Suggestion: check for spelling errors or missing imports. Hint: FFTW is loaded but not imported in the active module Main. Stacktrace: [1] top-level scope @ none:1

doctest failure in ~/.julia/packages/NFFTTools/UlGIF/src/Toeplitz.jl:178-219 ```jldoctest; output = false, setup = :(using NFFT, NFFTTools, Random; Random.seed!(1)) julia> using FFTW julia> Nx = 32; julia> trj = Float32.(rand(2, 1000) .- 0.5); julia> λ = calculateToeplitzKernel((Nx, Nx), trj); julia> xOS1 = similar(λ); julia> xOS2 = similar(λ); julia> fftplan = plan_fft(xOS1; flags=FFTW.MEASURE); julia> ifftplan = plan_ifft(xOS1; flags=FFTW.MEASURE); julia> y = randn(ComplexF32, Nx, Nx); julia> convolveToeplitzKernel!(y, λ, fftplan, ifftplan, xOS1, xOS2) 32×32 Matrix{ComplexF32}: 177.717-52.0493im 10.6059+20.7185im … 746.131+330.005im -311.858+988.219im -1216.83-1295.14im 410.732+751.925im -1082.27+872.968im 1023.97-1556.45im -923.699+478.63im -999.035-525.161im -1694.59-658.558im -521.044+607.005im -342.999+1481.82im -1729.18-2712.81im 56.5212+1394.81im -1187.65-1979.55im 1389.67+970.033im … 2968.93-744.264im -666.533+485.511im -1315.83+409.855im -610.146+132.258im 1159.57+64.6059im -299.169-569.622im 663.802+396.827im -795.112-1464.63im -462.43+2442.77im -1622.72+1701.27im -1047.67+31.5578im -1127.65-936.043im 474.071+797.911im ⋮ ⋱ 327.345+2191.71im -904.635+558.786im -1449.32-276.721im -1047.2-71.362im 363.109+567.346im -1974.0-2348.36im -1540.45+1661.77im 1175.75+1279.75im … 1110.61+653.234im -526.832-435.297im -265.021-2019.08im 68.5607-323.086im -1076.52-2719.16im -477.005+2232.06im -155.59-1275.66im 1143.76-735.966im -380.489+2485.78im 1812.17-261.191im 1685.44-1243.29im 1911.16-1157.72im -991.639-42.8214im 1054.11-1282.41im 66.9358-588.991im … -952.238+1026.35im -417.276-273.367im -946.698+1971.77im -890.339-882.05im ``` Subexpression: convolveToeplitzKernel!(y, λ, fftplan, ifftplan, xOS1, xOS2) Evaluated output: ERROR: UndefVarError: `fftplan` not defined in `Main.var"Main"` Suggestion: check for spelling errors or missing imports. Stacktrace: [1] top-level scope @ none:1 Expected output: 32×32 Matrix{ComplexF32}: 177.717-52.0493im 10.6059+20.7185im … 746.131+330.005im -311.858+988.219im -1216.83-1295.14im 410.732+751.925im -1082.27+872.968im 1023.97-1556.45im -923.699+478.63im -999.035-525.161im -1694.59-658.558im -521.044+607.005im -342.999+1481.82im -1729.18-2712.81im 56.5212+1394.81im -1187.65-1979.55im 1389.67+970.033im … 2968.93-744.264im -666.533+485.511im -1315.83+409.855im -610.146+132.258im 1159.57+64.6059im -299.169-569.622im 663.802+396.827im -795.112-1464.63im -462.43+2442.77im -1622.72+1701.27im -1047.67+31.5578im -1127.65-936.043im 474.071+797.911im ⋮ ⋱ 327.345+2191.71im -904.635+558.786im -1449.32-276.721im -1047.2-71.362im 363.109+567.346im -1974.0-2348.36im -1540.45+1661.77im 1175.75+1279.75im … 1110.61+653.234im -526.832-435.297im -265.021-2019.08im 68.5607-323.086im -1076.52-2719.16im -477.005+2232.06im -155.59-1275.66im 1143.76-735.966im -380.489+2485.78im 1812.17-261.191im 1685.44-1243.29im 1911.16-1157.72im -991.639-42.8214im 1054.11-1282.41im 66.9358-588.991im … -952.238+1026.35im -417.276-273.367im -946.698+1971.77im -890.339-882.05im diff = Warning: Diff output requires color. 32×32 Matrix{ComplexF32}: 177.717-52.0493im 10.6059+20.7185im … 746.131+330.005im -311.858+988.219im -1216.83-1295.14im 410.732+751.925im -1082.27+872.968im 1023.97-1556.45im -923.699+478.63im -999.035-525.161im -1694.59-658.558im -521.044+607.005im -342.999+1481.82im -1729.18-2712.81im 56.5212+1394.81im -1187.65-1979.55im 1389.67+970.033im … 2968.93-744.264im -666.533+485.511im -1315.83+409.855im -610.146+132.258im 1159.57+64.6059im -299.169-569.622im 663.802+396.827im -795.112-1464.63im -462.43+2442.77im -1622.72+1701.27im -1047.67+31.5578im

doctest failure in ~/.julia/packages/NFFTTools/UlGIF/src/Toeplitz.jl:99-118 ```jldoctest; output = false, setup = :(using NFFT, NFFTTools, Random; Random.seed!(1)) julia> using FFTW julia> Nx = 32; julia> trj = Float32.(rand(2, 1000) .- 0.5); julia> p = plan_nfft(trj, (2Nx,2Nx)) NFFTPlan with 1000 sampling points for an input array of size(64, 64) and an output array of size(1000,) with dims 1:2 julia> fftplan = plan_fft(zeros(ComplexF32, (2Nx,2Nx)); flags=FFTW.MEASURE); julia> λ = Array{ComplexF32}(undef, 2Nx, 2Nx); julia> calculateToeplitzKernel!(λ, p, trj, fftplan); julia> y = randn(ComplexF32, Nx, Nx); julia> convolveToeplitzKernel!(y, λ); ``` Subexpression: using FFTW Evaluated output: ERROR: ArgumentError: Package FFTW not found in current path. - Run `import Pkg; Pkg.add("FFTW")` to install the FFTW package. Stacktrace: [1] macro expansion @ ./loading.jl:2223 [inlined] [2] macro expansion @ ./lock.jl:273 [inlined] [3] __require(into::Module, mod::Symbol) @ Base ./loading.jl:2198 [4] #invoke_in_world#3 @ ./essentials.jl:1089 [inlined] [5] invoke_in_world @ ./essentials.jl:1086 [inlined] [6] require(into::Module, mod::Symbol) @ Base ./loading.jl:2191 Expected output: diff = Warning: Diff output requires color. ERROR: ArgumentError: Package FFTW not found in current path. - Run `import Pkg; Pkg.add("FFTW")` to install the FFTW package. Stacktrace: [1] macro expansion @ ./loading.jl:2223 [inlined] [2] macro expansion @ ./lock.jl:273 [inlined] [3] __require(into::Module, mod::Symbol) @ Base ./loading.jl:2198 [4] #invoke_in_world#3 @ ./essentials.jl:1089 [inlined] [5] invoke_in_world @ ./essentials.jl:1086 [inlined] [6] require(into::Module, mod::Symbol) @ Base ./loading.jl:2191

Process completed with exit code 1.

Process completed with exit code 1.

Process completed with exit code 1.

Process completed with exit code 1.