Generate and return the Forward Fourier Transform (a.k.a. Fourier Analysis) of a periodic sequence of type complex
or real
of arbitrary kind type parameter.
More...
Generate and return the Forward Fourier Transform (a.k.a. Fourier Analysis) of a periodic sequence of type complex
or real
of arbitrary kind type parameter.
See the documentation of setFFTF for more details.
- Parameters
-
[in] | data | : The input contiguous vector of arbitrary size of,
-
type
complex of kind any supported by the processor (e.g., CK, CK32, CK64, or CK128),
-
type
real of kind any supported by the processor (e.g., RK, RK32, RK64, or RK128),
containing the periodic sequence whose FFT is to be computed.
|
- Returns
fft
: The output vector of the same type, kind, and size as the input data
, containing the FFT result.
Possible calling interfaces ⛓
Generate and return the Forward Fourier Transform (a.k.a. Fourier Analysis) of a periodic sequence of...
This module contains procedures and generic interfaces for computing the Discrete Fourier Transform o...
- Note
- This functional generic interface is simply a more flexible but slower wrapper around the subroutine generic interface setFFTF.
As such, this functional interface can be significantly slower than the corresponding subroutine interface.
- See also
- getFFTF
getFFTR
getFFTI
setFFTF
setFFTR
setFFTI
Example usage ⛓
14 integer(IK) :: lenData
15 type(display_type) :: disp
22 complex(TKG),
allocatable :: data(:)
23 call disp%show(
"lenData = getUnifRand(5, 11)")
27 call disp%show(
"data = 1._TKG + getUnifRand((0._TKG, 0._TKG), (1._TKG, 1._TKG), lenData)")
28 data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
31 call disp%show(
"getFFTI(getFFTF(data))")
33 call disp%show(
"reltol = sqrt(epsilon(1._TKG))")
34 reltol
= sqrt(
epsilon(
1._TKG))
37 call disp%show(
"isClose(data, getFFTI(getFFTF(data)), reltol = reltol)")
39 call disp%show(
"call setAsserted(all(isClose(data, getFFTI(getFFTF(data)), reltol = reltol)))")
47 complex(TKG),
allocatable :: data(:)
48 call disp%show(
"lenData = getUnifRand(5, 11)")
52 call disp%show(
"data = 1._TKG + getUnifRand((0._TKG, 0._TKG), (1._TKG, 1._TKG), lenData)")
53 data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
56 call disp%show(
"getFFTI(getFFTF(data))")
58 call disp%show(
"reltol = sqrt(epsilon(1._TKG))")
59 reltol
= sqrt(
epsilon(
1._TKG))
62 call disp%show(
"isClose(data, getFFTI(getFFTF(data)), reltol = reltol)")
64 call disp%show(
"call setAsserted(all(isClose(data, getFFTI(getFFTF(data)), reltol = reltol)))")
72 complex(TKG),
allocatable :: data(:)
73 call disp%show(
"lenData = getUnifRand(5, 11)")
77 call disp%show(
"data = 1._TKG + getUnifRand((0._TKG, 0._TKG), (1._TKG, 1._TKG), lenData)")
78 data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
81 call disp%show(
"getFFTI(getFFTF(data))")
83 call disp%show(
"reltol = sqrt(epsilon(1._TKG))")
84 reltol
= sqrt(
epsilon(
1._TKG))
87 call disp%show(
"isClose(data, getFFTI(getFFTF(data)), reltol = reltol)")
89 call disp%show(
"call setAsserted(all(isClose(data, getFFTI(getFFTF(data)), reltol = reltol)))")
97 real(TKG),
allocatable :: data(:)
98 call disp%show(
"lenData = getUnifRand(5, 11)")
102 call disp%show(
"data = 1._TKG + getUnifRand(0._TKG, 1._TKG, lenData)")
103 data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
108 call disp%show(
"getFFTF(cmplx(data, kind = TKG))")
110 call disp%show(
"getFFTI(getFFTF(data))")
112 call disp%show(
"getFFTI(getFFTF(cmplx(data, kind = TKG)))")
114 call disp%show(
"reltol = sqrt(epsilon(1._TKG))")
115 reltol
= sqrt(
epsilon(
1._TKG))
118 call disp%show(
"isClose(data, getFFTI(getFFTF(data)), reltol = reltol)")
120 call disp%show(
"call setAsserted(all(isClose(data, getFFTI(getFFTF(data)), reltol = reltol)))")
128 real(TKG),
allocatable :: data(:)
129 call disp%show(
"lenData = getUnifRand(5, 11)")
133 call disp%show(
"data = 1._TKG + getUnifRand(0._TKG, 1._TKG, lenData)")
134 data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
139 call disp%show(
"getFFTF(cmplx(data, kind = TKG))")
141 call disp%show(
"getFFTI(getFFTF(data))")
143 call disp%show(
"getFFTI(getFFTF(cmplx(data, kind = TKG)))")
145 call disp%show(
"reltol = sqrt(epsilon(1._TKG))")
146 reltol
= sqrt(
epsilon(
1._TKG))
149 call disp%show(
"isClose(data, getFFTI(getFFTF(data)), reltol = reltol)")
151 call disp%show(
"call setAsserted(all(isClose(data, getFFTI(getFFTF(data)), reltol = reltol)))")
159 real(TKG),
allocatable :: data(:)
160 call disp%show(
"lenData = getUnifRand(5, 11)")
164 call disp%show(
"data = 1._TKG + getUnifRand(0._TKG, 1._TKG, lenData)")
165 data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
170 call disp%show(
"getFFTF(cmplx(data, kind = TKG))")
172 call disp%show(
"getFFTI(getFFTF(data))")
174 call disp%show(
"getFFTI(getFFTF(cmplx(data, kind = TKG)))")
176 call disp%show(
"reltol = sqrt(epsilon(1._TKG))")
177 reltol
= sqrt(
epsilon(
1._TKG))
180 call disp%show(
"isClose(data, getFFTI(getFFTF(data)), reltol = reltol)")
182 call disp%show(
"call setAsserted(all(isClose(data, getFFTI(getFFTF(data)), reltol = reltol)))")
Generate and return a scalar or a contiguous array of rank 1 of length s1 of randomly uniformly distr...
Verify the input assertion holds and if it does not, print the (optional) input message on stdout and...
Generate and return an object of type stop_type with the user-specified input attributes.
Generate and return the Inverse (normalized) Fourier Transform of a periodic sequence of type complex...
This is a generic method of the derived type display_type with pass attribute.
Generate and return .true. if the two input values are sufficiently close to each other within the sp...
This module contains classes and procedures for computing various statistical quantities related to t...
This module contains classes and procedures for reporting and handling errors.
This module contains classes and procedures for input/output (IO) or generic display operations on st...
type(display_type) disp
This is a scalar module variable an object of type display_type for general display.
This module defines the relevant Fortran kind type-parameters frequently used in the ParaMonte librar...
integer, parameter LK
The default logical kind in the ParaMonte library: kind(.true.) in Fortran, kind(....
integer, parameter CKH
The scalar integer constant of intrinsic default kind, representing the highest-precision complex kin...
integer, parameter CKS
The single-precision complex kind in Fortran mode. On most platforms, this is a 32-bit real kind.
integer, parameter IK
The default integer kind in the ParaMonte library: int32 in Fortran, c_int32_t in C-Fortran Interoper...
integer, parameter CKD
The double precision complex kind in Fortran mode. On most platforms, this is a 64-bit real kind.
integer, parameter RKD
The double precision real kind in Fortran mode. On most platforms, this is an 64-bit real kind.
integer, parameter SK
The default character kind in the ParaMonte library: kind("a") in Fortran, c_char in C-Fortran Intero...
integer, parameter RKH
The scalar integer constant of intrinsic default kind, representing the highest-precision real kind t...
integer, parameter RKS
The single-precision real kind in Fortran mode. On most platforms, this is an 32-bit real kind.
This module contains the procedures and interfaces for evaluating the relative or absolute proximity ...
Generate and return an object of type display_type.
Example Unix compile command via Intel ifort
compiler ⛓
3ifort -fpp -standard-semantics -O3 -Wl,-rpath,../../../lib -I../../../inc main.F90 ../../../lib/libparamonte* -o main.exe
Example Windows Batch compile command via Intel ifort
compiler ⛓
2set PATH=..\..\..\lib;%PATH%
3ifort /fpp /standard-semantics /O3 /I:..\..\..\include main.F90 ..\..\..\lib\libparamonte*.lib /exe:main.exe
Example Unix / MinGW compile command via GNU gfortran
compiler ⛓
3gfortran -cpp -ffree-line-length-none -O3 -Wl,-rpath,../../../lib -I../../../inc main.F90 ../../../lib/libparamonte* -o main.exe
Example output ⛓
4data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
6(
+1.50482452,
+0.183970988), (
+1.62449193,
+0.410823226), (
+1.01650548,
+0.297196507E-1), (
+1.41120148,
+0.448471546), (
+1.24040270,
+0.710610628), (
+1.35899663,
+0.313088596), (
+1.83887529,
+0.147309959), (
+1.14844108,
+0.285040140E-1)
8(
+1.50482464,
+0.183970928), (
+1.62449181,
+0.410823256), (
+1.01650536,
+0.297196545E-1), (
+1.41120148,
+0.448471546), (
+1.24040270,
+0.710610628), (
+1.35899651,
+0.313088626), (
+1.83887517,
+0.147309959), (
+1.14844108,
+0.285040438E-1)
9reltol
= sqrt(
epsilon(
1._TKG))
19data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
21(
+1.2876871853731551,
+0.96276312344184101), (
+1.9112587053356338,
+0.50861641828784931), (
+1.1521703936957692,
+0.21326723168428929), (
+1.5593319363391878,
+0.92133314941521405), (
+1.5736393013012990,
+0.36046404076861471), (
+1.7649096757535649,
+0.20125991615059424), (
+1.6511478248962850,
+0.66981936894838989), (
+1.4143579850673640,
+0.68682691287349096), (
+1.4210285900830870,
+0.30522695205507666), (
+1.5798683979405375,
+0.26643291773239774)
23(
+1.2876871853731555,
+0.96276312344184134), (
+1.9112587053356336,
+0.50861641828784920), (
+1.1521703936957692,
+0.21326723168428924), (
+1.5593319363391878,
+0.92133314941521405), (
+1.5736393013012988,
+0.36046404076861482), (
+1.7649096757535654,
+0.20125991615059446), (
+1.6511478248962850,
+0.66981936894839000), (
+1.4143579850673640,
+0.68682691287349096), (
+1.4210285900830872,
+0.30522695205507655), (
+1.5798683979405370,
+0.26643291773239774)
24reltol
= sqrt(
epsilon(
1._TKG))
26+0.14901161193847656E-7
28T, T, T, T, T, T, T, T, T, T
34data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
36(
+1.48653242384318593925747808624971667,
+0.821897995847605863916567201554063852), (
+1.18412769064399562573025788837068150,
+0.922017434698187479938753669731087679), (
+1.64050734740036198140618057407922775,
+0.513090700640538073283250609613769371), (
+1.52037263570319299552120277940985753,
+0.139074947235701415161391136852142459), (
+1.51585671340493005578248668348123914,
+0.761236838352545588281079178765259515), (
+1.09926358789766445668863923262354369,
+0.423612444834393483820473268795699362), (
+1.56955745078379823891678121125040597,
+0.380693549602581167847191830267127358), (
+1.31195310404397084579356659058609930,
+0.419797873100377136658447909052772076), (
+1.73041722228204085423505887502743899,
+0.302193107564157693388089580412008000), (
+1.95577226081875939273723323120693556,
+0.387977865051097261411324968961482337)
38(
+1.48653242384318593925747808624971667,
+0.821897995847605863916567201554063852), (
+1.18412769064399562573025788837068189,
+0.922017434698187479938753669731087679), (
+1.64050734740036198140618057407922795,
+0.513090700640538073283250609613769467), (
+1.52037263570319299552120277940985772,
+0.139074947235701415161391136852142484), (
+1.51585671340493005578248668348123933,
+0.761236838352545588281079178765259419), (
+1.09926358789766445668863923262354388,
+0.423612444834393483820473268795699410), (
+1.56955745078379823891678121125040616,
+0.380693549602581167847191830267127358), (
+1.31195310404397084579356659058609969,
+0.419797873100377136658447909052772028), (
+1.73041722228204085423505887502743899,
+0.302193107564157693388089580412008000), (
+1.95577226081875939273723323120693595,
+0.387977865051097261411324968961482289)
39reltol
= sqrt(
epsilon(
1._TKG))
41+0.138777878078144567552953958511352539E-16
43T, T, T, T, T, T, T, T, T, T
51+1.07149625,
+1.76320672,
+1.67985272,
+1.74203897,
+1.04487586,
+1.24271965
53+8.54419041,
-0.529943824,
-1.00066113,
-0.517922491E-1,
+0.991510749E-1,
-0.951740503
55(
+8.54418945,
+0.00000000), (
-0.529943883,
-1.00066113), (
-0.517921448E-1,
+0.991510674E-1), (
-0.951740444,
+0.00000000), (
-0.517921448E-1,
-0.991510674E-1), (
-0.529943764,
+1.00066113)
57+1.07149637,
+1.76320684,
+1.67985296,
+1.74203908,
+1.04487610,
+1.24271965
59(
+1.07149625,
+0.00000000), (
+1.76320648,
-0.993410776E-8), (
+1.67985249,
-0.172063785E-7), (
+1.74203897,
+0.135702436E-7), (
+1.04487574,
+0.172063785E-7), (
+1.24271953,
-0.363613561E-8)
60reltol
= sqrt(
epsilon(
1._TKG))
72+1.0524827582568805,
+1.7457841237541529,
+1.3987859471095072,
+1.5114542989253945,
+1.3447511334563305
74+7.0532582615022656,
-0.34692314230629417,
-0.31518024307459669,
-0.54849909280263653,
-0.34287524755454507
76(
+7.0532582615022656,
+0.0000000000000000), (
-0.34692314230629417,
-0.31518024307459669), (
-0.54849909280263653,
-0.34287524755454507), (
-0.54849909280263653,
+0.34287524755454507), (
-0.34692314230629417,
+0.31518024307459669)
78+1.0524827582568808,
+1.7457841237541531,
+1.3987859471095072,
+1.5114542989253945,
+1.3447511334563305
80(
+1.0524827582568808,
+0.0000000000000000), (
+1.7457841237541531,
+0.0000000000000000), (
+1.3987859471095072,
+0.0000000000000000), (
+1.5114542989253945,
+0.0000000000000000), (
+1.3447511334563305,
+0.0000000000000000)
81reltol
= sqrt(
epsilon(
1._TKG))
83+0.14901161193847656E-7
93+1.38805066421846178816331615286867292,
+1.64830129487409695726429697638538548,
+1.56388008047860648120891663695537561,
+1.16670498325146190109845622760785800,
+1.78025095717321329260064906414498362,
+1.06803183634886227618598951719794766
95+8.61521981634470269652162457516022426,
-0.925532722474303831147796784976981722E-1,
-0.315145416266454089678803331950643750,
-0.475476436967465814368153716865315217,
-0.689910767979733788629739013477351951,
+0.849143587395860427424139132777841221
97(
+8.61521981634470269652162457516022426,
+0.00000000000000000000000000000000000), (
-0.925532722474303831147796784976981722E-1,
-0.315145416266454089678803331950643750), (
-0.475476436967465814368153716865315072,
-0.689910767979733788629739013477351951), (
+0.849143587395860427424139132777841028,
-0.240741243048404481631997242823115915E-34), (
-0.475476436967465814368153716865315072,
+0.689910767979733788629739013477351951), (
-0.925532722474303831147796784976981241E-1,
+0.315145416266454089678803331950643799)
99+1.38805066421846178816331615286867312,
+1.64830129487409695726429697638538548,
+1.56388008047860648120891663695537581,
+1.16670498325146190109845622760785800,
+1.78025095717321329260064906414498362,
+1.06803183634886227618598951719794785
101(
+1.38805066421846178816331615286867292,
+0.401235405080674136053328738038526505E-35), (
+1.64830129487409695726429697638538548,
+0.361111864572606722447995864234673872E-34), (
+1.56388008047860648120891663695537561,
-0.802470810161348272106657476077053011E-35), (
+1.16670498325146190109845622760785819,
-0.398354664482285140321949953964150378E-34), (
+1.78025095717321329260064906414498343,
-0.802470810161348272106657476077053011E-35), (
+1.06803183634886227618598951719794766,
+0.157613421433880658689952711141034463E-34)
102reltol
= sqrt(
epsilon(
1._TKG))
104+0.138777878078144567552953958511352539E-16
112data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
114(
+1.23968399,
+0.955482066), (
+1.21911621,
+0.976786733), (
+1.84466374,
+0.265725970), (
+1.95516396,
+0.691450953), (
+1.20274580,
+0.550195575E-1), (
+1.80945778,
+0.789554715), (
+1.87069678,
+0.659685493), (
+1.46079803,
+0.904396713), (
+1.80528784,
+0.579334676), (
+1.95619297,
+0.617053866)
116(
+1.23968399,
+0.955482006), (
+1.21911621,
+0.976786733), (
+1.84466398,
+0.265725911), (
+1.95516396,
+0.691450953), (
+1.20274580,
+0.550196171E-1), (
+1.80945778,
+0.789554656), (
+1.87069690,
+0.659685493), (
+1.46079826,
+0.904396832), (
+1.80528796,
+0.579334676), (
+1.95619321,
+0.617053866)
117reltol
= sqrt(
epsilon(
1._TKG))
121T, T, T, T, T, T, T, T, T, T
127data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
129(
+1.2873016607028103,
+0.16508843215673585), (
+1.8329903926842372,
+0.42587912807969264), (
+1.4258785236640157,
+0.11658408827298850), (
+1.0671722806611512,
+0.25153721181253175), (
+1.9611743157575181,
+0.13371095541660016), (
+1.2602205143843936,
+0.39196299396836742), (
+1.2103157305646870,
+0.72967201218501632), (
+1.5335435270420585,
+0.31672340566433121)
131(
+1.2873016607028105,
+0.16508843215673585), (
+1.8329903926842372,
+0.42587912807969269), (
+1.4258785236640159,
+0.11658408827298855), (
+1.0671722806611514,
+0.25153721181253180), (
+1.9611743157575185,
+0.13371095541660016), (
+1.2602205143843936,
+0.39196299396836748), (
+1.2103157305646872,
+0.72967201218501621), (
+1.5335435270420588,
+0.31672340566433127)
132reltol
= sqrt(
epsilon(
1._TKG))
134+0.14901161193847656E-7
136T, T, T, T, T, T, T, T
142data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
144(
+1.35812246747021005199738823565633052,
+0.816840770106499451999156599833851879), (
+1.92993046880000938469099277619671815,
+0.964103924386550140104247862725691656), (
+1.11164974579160057278786320500580377,
+0.359719380037589930683851567075949264), (
+1.61170160036394081969186063693055235,
+0.123526239446056477126295493858295503), (
+1.14887050029196823243396806303750609,
+0.187081923321911801849171188072151937), (
+1.10941251257399605077430601288917442,
+0.877129891220744738744795492633855708)
146(
+1.35812246747021005199738823565633052,
+0.816840770106499451999156599833851783), (
+1.92993046880000938469099277619671815,
+0.964103924386550140104247862725691656), (
+1.11164974579160057278786320500580358,
+0.359719380037589930683851567075949360), (
+1.61170160036394081969186063693055235,
+0.123526239446056477126295493858295467), (
+1.14887050029196823243396806303750590,
+0.187081923321911801849171188072151961), (
+1.10941251257399605077430601288917442,
+0.877129891220744738744795492633855708)
147reltol
= sqrt(
epsilon(
1._TKG))
149+0.138777878078144567552953958511352539E-16
157data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
159+1.81022394,
+1.21831799,
+1.03354335,
+1.82940269,
+1.05461729,
+1.47110808
161+8.41721344,
+0.281454027,
+0.237173304,
+1.25083327,
+0.200672165,
-0.620444298
162getFFTF(
cmplx(data,
kind = TKG))
163(
+8.41721344,
+0.00000000), (
+0.281453997,
+0.237173185), (
+1.25083303,
+0.200672075), (
-0.620444179,
+0.372529030E-7), (
+1.25083303,
-0.200672075), (
+0.281453907,
-0.237173229)
165+1.81022394,
+1.21831799,
+1.03354335,
+1.82940280,
+1.05461729,
+1.47110832
167(
+1.81022394,
-0.124176347E-8), (
+1.21831810,
-0.161429252E-7), (
+1.03354347,
+0.271404872E-7), (
+1.82940269,
+0.159646163E-7), (
+1.05461740,
-0.727227123E-8), (
+1.47110820,
-0.184481426E-7)
168reltol
= sqrt(
epsilon(
1._TKG))
178data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
180+1.6877273227986480,
+1.8662472608576652,
+1.2953250661586628,
+1.5649115742010631,
+1.7123636108150095,
+1.1136053042752727,
+1.7349234753745797
182+10.975103614480901,
+0.44426020247824827,
-0.21585969695614776,
+0.75936783427269705,
-0.16446861862213275,
-0.78413421419612694,
+0.22885008194954778
183getFFTF(
cmplx(data,
kind = TKG))
184(
+10.975103614480901,
+0.0000000000000000), (
+0.44426020247824871,
-0.21585969695614776), (
+0.75936783427269727,
-0.16446861862213266), (
-0.78413421419612817,
+0.22885008194954767), (
-0.78413421419612817,
-0.22885008194954767), (
+0.75936783427269727,
+0.16446861862213266), (
+0.44426020247824871,
+0.21585969695614776)
186+1.6877273227986480,
+1.8662472608576648,
+1.2953250661586633,
+1.5649115742010624,
+1.7123636108150091,
+1.1136053042752729,
+1.7349234753745792
188(
+1.6877273227986480,
+0.0000000000000000), (
+1.8662472608576650,
+0.0000000000000000), (
+1.2953250661586628,
+0.0000000000000000), (
+1.5649115742010624,
+0.0000000000000000), (
+1.7123636108150091,
+0.0000000000000000), (
+1.1136053042752727,
+0.0000000000000000), (
+1.7349234753745795,
+0.0000000000000000)
189reltol
= sqrt(
epsilon(
1._TKG))
191+0.14901161193847656E-7
199data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
201+1.61914537357424413539835045170324887,
+1.20402708834020014294988727873580287,
+1.90942145360377714246287661280087619,
+1.62409948019466998410009696799575611,
+1.58221034057349833894146951951494547,
+1.99102508248787309486122546956044597,
+1.93143463557260312918955517778229040,
+1.68184086290133939654332213391285887
203+13.5432043172482053644467836120062259,
-0.478727262174311003263290604585065892,
+0.619334123677829961373452496206300892,
-0.639500375028637797312611819364972439,
+0.110888172267936142832306353612365940,
+0.552597328175802596177052468961672695,
+0.575307759740177987920095366243472474,
+0.541219289400040127537719911596497104
204getFFTF(
cmplx(data,
kind = TKG))
205(
+13.5432043172482053644467836120062259,
+0.00000000000000000000000000000000000), (
-0.478727262174311003263290604585065892,
+0.619334123677829961373452496206300892), (
-0.639500375028637797312611819364972439,
+0.110888172267936142832306353612365940), (
+0.552597328175802596177052468961672598,
+0.575307759740177987920095366243472570), (
+0.541219289400040127537719911596497104,
+0.00000000000000000000000000000000000), (
+0.552597328175802596177052468961672695,
-0.575307759740177987920095366243472474), (
-0.639500375028637797312611819364972439,
-0.110888172267936142832306353612365940), (
-0.478727262174311003263290604585065796,
-0.619334123677829961373452496206300989)
207+1.61914537357424413539835045170324906,
+1.20402708834020014294988727873580306,
+1.90942145360377714246287661280087619,
+1.62409948019466998410009696799575630,
+1.58221034057349833894146951951494566,
+1.99102508248787309486122546956044597,
+1.93143463557260312918955517778229059,
+1.68184086290133939654332213391285906
209(
+1.61914537357424413539835045170324906,
+0.00000000000000000000000000000000000), (
+1.20402708834020014294988727873580306,
-0.108350606829402246200904653637676773E-34), (
+1.90942145360377714246287661280087619,
+0.00000000000000000000000000000000000), (
+1.62409948019466998410009696799575630,
-0.120200146947999946150939677738811856E-35), (
+1.58221034057349833894146951951494566,
+0.00000000000000000000000000000000000), (
+1.99102508248787309486122546956044597,
+0.132390636219002235431092589185439153E-34), (
+1.93143463557260312918955517778229059,
+0.00000000000000000000000000000000000), (
+1.68184086290133939654332213391285906,
-0.120200146947999946150939677738811856E-35)
210reltol
= sqrt(
epsilon(
1._TKG))
212+0.138777878078144567552953958511352539E-16
214T, T, T, T, T, T, T, T
220data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
222(
+1.52937317,
+0.611593425), (
+1.11563897,
+0.744267941), (
+1.91574693,
+0.109144449E-1), (
+1.23989487,
+0.365248919), (
+1.04607272,
+0.142463207), (
+1.32786751,
+0.175406218), (
+1.17816067,
+0.492155671), (
+1.35010159,
+0.402815759), (
+1.45186448,
+0.958017945), (
+1.07411742,
+0.661279857)
224(
+1.52937305,
+0.611593425), (
+1.11563909,
+0.744267941), (
+1.91574705,
+0.109144691E-1), (
+1.23989499,
+0.365248919), (
+1.04607284,
+0.142463252), (
+1.32786739,
+0.175406113), (
+1.17816091,
+0.492155612), (
+1.35010183,
+0.402815729), (
+1.45186460,
+0.958017945), (
+1.07411754,
+0.661279857)
225reltol
= sqrt(
epsilon(
1._TKG))
229T, T, T, T, T, T, T, T, T, T
235data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
237(
+1.5579835428276509,
+0.60342515664803786), (
+1.8212757199928022,
+0.31297921699278397), (
+1.4809901106723280,
+0.48431340641187104), (
+1.2369247567644677,
+0.35342813029943176), (
+1.5629378795264639,
+0.63421326984553761), (
+1.1300946481767118,
+0.70186982341054427), (
+1.1869067279996601,
+0.94694260100124439), (
+1.7112508772496828,
+0.51933114672504432), (
+1.9118252671646478,
+0.43822712582658963), (
+1.8208118860010849,
+0.74387815112035094)
239(
+1.5579835428276514,
+0.60342515664803797), (
+1.8212757199928025,
+0.31297921699278380), (
+1.4809901106723280,
+0.48431340641187104), (
+1.2369247567644679,
+0.35342813029943165), (
+1.5629378795264639,
+0.63421326984553761), (
+1.1300946481767120,
+0.70186982341054438), (
+1.1869067279996601,
+0.94694260100124450), (
+1.7112508772496833,
+0.51933114672504421), (
+1.9118252671646474,
+0.43822712582658963), (
+1.8208118860010849,
+0.74387815112035094)
240reltol
= sqrt(
epsilon(
1._TKG))
242+0.14901161193847656E-7
244T, T, T, T, T, T, T, T, T, T
250data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
252(
+1.09102632283523799444037602325832972,
+0.817754749272559526016832445401952289), (
+1.43037286084032752834667360975339728,
+0.206249727057588135964548132393017447), (
+1.24650435764316188791599737396385978,
+0.326348681950039759322688366271152057), (
+1.60752618934052214673409811015022407,
+0.719008117390192223588679881651369912), (
+1.05911084007507555531056681073473419,
+0.192042609359491784364551675359272206), (
+1.25009609667148097608596399700856438,
+0.232718957573458947739998687103017485), (
+1.73870330569369192046741196629056863,
+0.554464848270990824464296916735782306), (
+1.64223479300377657756451942402213175,
+0.479708852976604401340702404159327875), (
+1.30693214611148999492110626674076501,
+0.585579536253301620877538449193880373), (
+1.98522002110761335818841218712504626,
+0.612425308075019463504947992696451844), (
+1.41903368352170193348402924198903008,
+0.982280368408265137192280227062103770)
254(
+1.09102632283523799444037602325832934,
+0.817754749272559526016832445401952385), (
+1.43037286084032752834667360975339747,
+0.206249727057588135964548132393017471), (
+1.24650435764316188791599737396385978,
+0.326348681950039759322688366271152105), (
+1.60752618934052214673409811015022426,
+0.719008117390192223588679881651370105), (
+1.05911084007507555531056681073473381,
+0.192042609359491784364551675359272230), (
+1.25009609667148097608596399700856457,
+0.232718957573458947739998687103017485), (
+1.73870330569369192046741196629056901,
+0.554464848270990824464296916735782402), (
+1.64223479300377657756451942402213155,
+0.479708852976604401340702404159327971), (
+1.30693214611148999492110626674076521,
+0.585579536253301620877538449193880470), (
+1.98522002110761335818841218712504626,
+0.612425308075019463504947992696451940), (
+1.41903368352170193348402924198903027,
+0.982280368408265137192280227062103867)
255reltol
= sqrt(
epsilon(
1._TKG))
257+0.138777878078144567552953958511352539E-16
259T, T, T, T, T, T, T, T, T, T, T
265data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
267+1.41285288,
+1.22124147,
+1.76275432,
+1.06383920,
+1.40564048,
+1.01384842,
+1.75190532
269+9.63208199,
+0.423803329,
-0.166937515,
-0.210672021,
+0.575066149,
-0.841874480E-1,
+1.14899611
270getFFTF(
cmplx(data,
kind = TKG))
271(
+9.63208199,
+0.00000000), (
+0.423803091,
-0.166937545), (
-0.210671425,
+0.575066209), (
-0.841867924E-1,
+1.14899600), (
-0.841867924E-1,
-1.14899600), (
-0.210671425,
-0.575066209), (
+0.423803091,
+0.166937545)
273+1.41285288,
+1.22124159,
+1.76275420,
+1.06383920,
+1.40564036,
+1.01384842,
+1.75190556
275(
+1.41285336,
+0.00000000), (
+1.22124135,
+0.00000000), (
+1.76275420,
+0.00000000), (
+1.06383932,
+0.00000000), (
+1.40564048,
+0.00000000), (
+1.01384854,
+0.00000000), (
+1.75190520,
+0.00000000)
276reltol
= sqrt(
epsilon(
1._TKG))
286data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
288+1.9771999813286913,
+1.1125870761256931,
+1.6452455899212712,
+1.4043949461569349,
+1.5484889931314831
290+7.6879165866640733,
+0.33230668963165000,
+0.27299890222408080,
+0.76673497035804195,
+0.48527929246797574
291getFFTF(
cmplx(data,
kind = TKG))
292(
+7.6879165866640733,
+0.0000000000000000), (
+0.33230668963165000,
+0.27299890222408080), (
+0.76673497035804195,
+0.48527929246797574), (
+0.76673497035804195,
-0.48527929246797574), (
+0.33230668963165000,
-0.27299890222408080)
294+1.9771999813286918,
+1.1125870761256931,
+1.6452455899212712,
+1.4043949461569349,
+1.5484889931314834
296(
+1.9771999813286918,
+0.0000000000000000), (
+1.1125870761256931,
+0.0000000000000000), (
+1.6452455899212712,
+0.0000000000000000), (
+1.4043949461569349,
+0.0000000000000000), (
+1.5484889931314834,
+0.0000000000000000)
297reltol
= sqrt(
epsilon(
1._TKG))
299+0.14901161193847656E-7
307data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
309+1.50378782018398580325428367229299325,
+1.40588795441137902718268083824114261,
+1.91132070443048554956477405805852728,
+1.77572813164737960027737790004925900,
+1.09253052179062686754519085146756255,
+1.73166426948215097766866248558681775,
+1.03050499676491728536113515445208611,
+1.05010279905489394894003616692223109
311+11.5015271977658190597941411270706197,
-0.332195936420039693612526619630545242,
-1.16355165940595068116902662483261738,
-0.345507359220790164126434688750057590,
-0.311721293191256455633929256856470267,
+1.15471053320675756503071226128140664,
+0.598079755925185847238251182380264961,
-0.425239111425788048343373654528280478
312getFFTF(
cmplx(data,
kind = TKG))
313(
+11.5015271977658190597941411270706197,
+0.00000000000000000000000000000000000), (
-0.332195936420039693612526619630545194,
-1.16355165940595068116902662483261738), (
-0.345507359220790164126434688750057590,
-0.311721293191256455633929256856470267), (
+1.15471053320675756503071226128140664,
+0.598079755925185847238251182380265153), (
-0.425239111425788048343373654528280478,
+0.00000000000000000000000000000000000), (
+1.15471053320675756503071226128140664,
-0.598079755925185847238251182380264961), (
-0.345507359220790164126434688750057590,
+0.311721293191256455633929256856470267), (
-0.332195936420039693612526619630545290,
+1.16355165940595068116902662483261719)
315+1.50378782018398580325428367229299345,
+1.40588795441137902718268083824114242,
+1.91132070443048554956477405805852728,
+1.77572813164737960027737790004925900,
+1.09253052179062686754519085146756275,
+1.73166426948215097766866248558681755,
+1.03050499676491728536113515445208611,
+1.05010279905489394894003616692223109
317(
+1.50378782018398580325428367229299345,
+0.00000000000000000000000000000000000), (
+1.40588795441137902718268083824114242,
-0.274531091399294768388453203420177028E-34), (
+1.91132070443048554956477405805852728,
+0.00000000000000000000000000000000000), (
+1.77572813164737960027737790004925900,
+0.154160469875092527572454582008619071E-34), (
+1.09253052179062686754519085146756275,
+0.00000000000000000000000000000000000), (
+1.73166426948215097766866248558681755,
+0.206951394697514194875541282226054802E-34), (
+1.03050499676491728536113515445208611,
+0.00000000000000000000000000000000000), (
+1.05010279905489394894003616692223109,
-0.865807731733119540595426608144968443E-35)
318reltol
= sqrt(
epsilon(
1._TKG))
320+0.138777878078144567552953958511352539E-16
322T, T, T, T, T, T, T, T
328data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
330(
+1.36101508,
+0.788269222), (
+1.30688977,
+0.332791388), (
+1.71389198,
+0.193755150), (
+1.31971192,
+0.694915354), (
+1.22592103,
+0.227993727), (
+1.30582786,
+0.850414097), (
+1.26622248,
+0.262608409)
332(
+1.36101556,
+0.788269341), (
+1.30688977,
+0.332791239), (
+1.71389186,
+0.193755224), (
+1.31971192,
+0.694915414), (
+1.22592103,
+0.227993876), (
+1.30582774,
+0.850414097), (
+1.26622236,
+0.262608379)
333reltol
= sqrt(
epsilon(
1._TKG))
343data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
345(
+1.5461340038437839,
+0.18773812612390139), (
+1.6842876454069304,
+0.63358258473945994), (
+1.4436233571317494,
+0.33172281381478819), (
+1.6029711214686682,
+0.25789954233520163), (
+1.5406228733155571,
+0.32354055560988515), (
+1.4639702266173042,
+0.90262390325072550E-1), (
+1.4470603430116242,
+0.77196930849858325)
347(
+1.5461340038437834,
+0.18773812612390156), (
+1.6842876454069304,
+0.63358258473945994), (
+1.4436233571317494,
+0.33172281381478830), (
+1.6029711214686677,
+0.25789954233520157), (
+1.5406228733155567,
+0.32354055560988515), (
+1.4639702266173042,
+0.90262390325072633E-1), (
+1.4470603430116242,
+0.77196930849858314)
348reltol
= sqrt(
epsilon(
1._TKG))
350+0.14901161193847656E-7
358data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
360(
+1.64294974422416703843133969876822584,
+0.441438593307731449195871638545195848), (
+1.84338410726523072627904335817738281,
+0.648425942246592719532020936695459654), (
+1.20907998989869295007702562501427352,
+0.519502169668440983389386432802197096), (
+1.29522866356001058630696140098118986,
+0.332864848194502922336705549165352682), (
+1.58767544594666017957722221916576944,
+0.849846048122833698939232153112488511), (
+1.15325812378029330013968422037496184,
+0.591513836826836621960673272511245011), (
+1.03275349016232867124259853329889971,
+0.711478113500873654600039151164568001)
362(
+1.64294974422416703843133969876822584,
+0.441438593307731449195871638545195945), (
+1.84338410726523072627904335817738281,
+0.648425942246592719532020936695459751), (
+1.20907998989869295007702562501427352,
+0.519502169668440983389386432802197096), (
+1.29522866356001058630696140098118967,
+0.332864848194502922336705549165352538), (
+1.58767544594666017957722221916576924,
+0.849846048122833698939232153112488415), (
+1.15325812378029330013968422037496184,
+0.591513836826836621960673272511245011), (
+1.03275349016232867124259853329889952,
+0.711478113500873654600039151164568097)
363reltol
= sqrt(
epsilon(
1._TKG))
365+0.138777878078144567552953958511352539E-16
373data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
375+1.09827006,
+1.94380343,
+1.56084466,
+1.73355579,
+1.46036911,
+1.22790742,
+1.82479024,
+1.06183362,
+1.51450348,
+1.78785431,
+1.18730807
377+16.4010391,
+0.804471970E-1,
-0.552351415,
-0.701294422,
-0.383075833,
-1.08837473,
-0.377865285,
+0.151801109,
-1.57007265,
-0.602615952,
+0.451919526
378getFFTF(
cmplx(data,
kind = TKG))
379(
+16.4010391,
+0.00000000), (
+0.804469585E-1,
-0.552351415), (
-0.701293945,
-0.383075774), (
-1.08837438,
-0.377865106), (
+0.151800871,
-1.57007265), (
-0.602614284,
+0.451919556), (
-0.602614284,
-0.451919556), (
+0.151800871,
+1.57007265), (
-1.08837438,
+0.377865106), (
-0.701293945,
+0.383075774), (
+0.804469585E-1,
+0.552351415)
381+1.09826970,
+1.94380367,
+1.56084406,
+1.73355579,
+1.46036875,
+1.22790802,
+1.82479072,
+1.06183338,
+1.51450336,
+1.78785396,
+1.18730831
383(
+1.09827006,
+0.00000000), (
+1.94380331,
+0.00000000), (
+1.56084430,
+0.00000000), (
+1.73355544,
+0.00000000), (
+1.46036875,
+0.00000000), (
+1.22790778,
+0.00000000), (
+1.82479072,
+0.00000000), (
+1.06183338,
+0.00000000), (
+1.51450336,
+0.00000000), (
+1.78785419,
+0.00000000), (
+1.18730795,
+0.00000000)
384reltol
= sqrt(
epsilon(
1._TKG))
388T, T, T, T, T, T, T, T, T, T, T
394data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
396+1.4819008839638541,
+1.7001441875833683,
+1.5912171888584496,
+1.3411205106844764,
+1.1616507577449191,
+1.8480897518883932,
+1.9207482760795624
398+11.044871556803022,
+0.71925361973188151,
+0.34503844565514524,
-0.86207960732864342,
+0.24393535829113155,
-0.19295669693125994,
-0.28008460151086417
399getFFTF(
cmplx(data,
kind = TKG))
400(
+11.044871556803022,
+0.0000000000000000), (
+0.71925361973188151,
+0.34503844565514513), (
-0.86207960732864208,
+0.24393535829113144), (
-0.19295669693126050,
-0.28008460151086401), (
-0.19295669693126050,
+0.28008460151086401), (
-0.86207960732864208,
-0.24393535829113144), (
+0.71925361973188151,
-0.34503844565514513)
402+1.4819008839638537,
+1.7001441875833683,
+1.5912171888584499,
+1.3411205106844759,
+1.1616507577449182,
+1.8480897518883934,
+1.9207482760795624
404(
+1.4819008839638539,
+0.0000000000000000), (
+1.7001441875833683,
+0.0000000000000000), (
+1.5912171888584494,
+0.0000000000000000), (
+1.3411205106844761,
+0.0000000000000000), (
+1.1616507577449191,
+0.0000000000000000), (
+1.8480897518883928,
+0.0000000000000000), (
+1.9207482760795624,
+0.0000000000000000)
405reltol
= sqrt(
epsilon(
1._TKG))
407+0.14901161193847656E-7
415data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
417+1.29652883795269382248986026196638047,
+1.51408256786813238831622765311911293,
+1.15833658555863191984873501639751566,
+1.49578943242343641015870213694515006,
+1.47612605706554453449077216742969664,
+1.42371606782959479027324972854606710,
+1.39415276331144604964466337211749074
419+9.75873231200947991522221033652141283,
-0.142380193674461442197634654982471309,
+0.156429348873713767907951535193333792,
+0.175995539588620471718340621195495321,
-0.216693310111245530595503229129635583,
-0.375130569084470608417300217591399549,
-0.278687999557315208259567907633228986
420getFFTF(
cmplx(data,
kind = TKG))
421(
+9.75873231200947991522221033652141283,
+0.00000000000000000000000000000000000), (
-0.142380193674461442197634654982470924,
+0.156429348873713767907951535193333792), (
+0.175995539588620471718340621195495513,
-0.216693310111245530595503229129635535), (
-0.375130569084470608417300217591399356,
-0.278687999557315208259567907633228938), (
-0.375130569084470608417300217591399356,
+0.278687999557315208259567907633228938), (
+0.175995539588620471718340621195495513,
+0.216693310111245530595503229129635535), (
-0.142380193674461442197634654982470924,
-0.156429348873713767907951535193333792)
423+1.29652883795269382248986026196638009,
+1.51408256786813238831622765311911254,
+1.15833658555863191984873501639751547,
+1.49578943242343641015870213694515006,
+1.47612605706554453449077216742969645,
+1.42371606782959479027324972854606691,
+1.39415276331144604964466337211749036
425(
+1.29652883795269382248986026196638028,
+0.00000000000000000000000000000000000), (
+1.51408256786813238831622765311911293,
+0.00000000000000000000000000000000000), (
+1.15833658555863191984873501639751547,
+0.00000000000000000000000000000000000), (
+1.49578943242343641015870213694514967,
+0.00000000000000000000000000000000000), (
+1.47612605706554453449077216742969645,
+0.00000000000000000000000000000000000), (
+1.42371606782959479027324972854606691,
+0.00000000000000000000000000000000000), (
+1.39415276331144604964466337211749055,
+0.00000000000000000000000000000000000)
426reltol
= sqrt(
epsilon(
1._TKG))
428+0.138777878078144567552953958511352539E-16
436data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
438(
+1.84127951,
+0.312046468), (
+1.61808658,
+0.195453227), (
+1.78725553,
+0.869305968), (
+1.94271827,
+0.816134095), (
+1.97408986,
+0.976683080)
440(
+1.84127927,
+0.312046379), (
+1.61808670,
+0.195453286), (
+1.78725564,
+0.869306087), (
+1.94271839,
+0.816134155), (
+1.97408986,
+0.976683140)
441reltol
= sqrt(
epsilon(
1._TKG))
451data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
453(
+1.7596382562032997,
+0.69812149496674825), (
+1.0243392729070080,
+0.72065185068512394), (
+1.6158880993398164,
+0.71924619251023003), (
+1.3174256042059684,
+0.91848281455658598E-1), (
+1.6477429927493774,
+0.30492738173010037), (
+1.0734050771531951,
+0.62906641826615417), (
+1.3057953934721858,
+0.98041281815040737), (
+1.8593169191734686,
+0.47942545706314466)
455(
+1.7596382562032995,
+0.69812149496674814), (
+1.0243392729070080,
+0.72065185068512394), (
+1.6158880993398164,
+0.71924619251022981), (
+1.3174256042059684,
+0.91848281455658487E-1), (
+1.6477429927493772,
+0.30492738173010026), (
+1.0734050771531951,
+0.62906641826615417), (
+1.3057953934721858,
+0.98041281815040726), (
+1.8593169191734686,
+0.47942545706314466)
456reltol
= sqrt(
epsilon(
1._TKG))
458+0.14901161193847656E-7
460T, T, T, T, T, T, T, T
466data = 1._TKG + getUnifRand((
0._TKG,
0._TKG), (
1._TKG,
1._TKG), lenData)
468(
+1.44040461200878120915042350190060879,
+0.924607714851226801448614270567289011), (
+1.74361935003476398229178067231922682,
+0.294821015817620662276946100442257440), (
+1.98210726252160574667286997692192449,
+0.191582787265808034546885688851576128), (
+1.17109916915748884656303247360408785,
+0.236530774363450737315745495666113231), (
+1.03074561670585863346333366635338972,
+0.118771869672068773697547866049543301)
470(
+1.44040461200878120915042350190060860,
+0.924607714851226801448614270567289107), (
+1.74361935003476398229178067231922682,
+0.294821015817620662276946100442257440), (
+1.98210726252160574667286997692192449,
+0.191582787265808034546885688851576128), (
+1.17109916915748884656303247360408804,
+0.236530774363450737315745495666113231), (
+1.03074561670585863346333366635338953,
+0.118771869672068773697547866049543301)
471reltol
= sqrt(
epsilon(
1._TKG))
473+0.138777878078144567552953958511352539E-16
481data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
483+1.42326653,
+1.27218866,
+1.98083615,
+1.87721300,
+1.74493527
485+8.29843998,
-0.765618563,
+0.388700604,
+0.174564362,
+0.376424938
486getFFTF(
cmplx(data,
kind = TKG))
487(
+8.29843998,
+0.00000000), (
-0.765618563,
+0.388700604), (
+0.174564362,
+0.376424938), (
+0.174564362,
-0.376424938), (
-0.765618563,
-0.388700604)
489+1.42326629,
+1.27218878,
+1.98083627,
+1.87721312,
+1.74493539
491(
+1.42326629,
+0.00000000), (
+1.27218878,
+0.00000000), (
+1.98083627,
+0.00000000), (
+1.87721312,
+0.00000000), (
+1.74493539,
+0.00000000)
492reltol
= sqrt(
epsilon(
1._TKG))
502data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
504+1.0546952647132146,
+1.4044371849577799,
+1.5515966496795492,
+1.9130698622650300,
+1.0551799218662694
506+6.9789788834818438,
-0.98821533762774960,
-0.11969477247006430,
+0.13546405766986536,
-0.54906972279678690
507getFFTF(
cmplx(data,
kind = TKG))
508(
+6.9789788834818438,
+0.0000000000000000), (
-0.98821533762774960,
-0.11969477247006430), (
+0.13546405766986536,
-0.54906972279678690), (
+0.13546405766986536,
+0.54906972279678690), (
-0.98821533762774960,
+0.11969477247006430)
510+1.0546952647132153,
+1.4044371849577804,
+1.5515966496795492,
+1.9130698622650302,
+1.0551799218662696
512(
+1.0546952647132153,
+0.0000000000000000), (
+1.4044371849577804,
+0.0000000000000000), (
+1.5515966496795492,
+0.0000000000000000), (
+1.9130698622650302,
+0.0000000000000000), (
+1.0551799218662696,
+0.0000000000000000)
513reltol
= sqrt(
epsilon(
1._TKG))
515+0.14901161193847656E-7
523data = 1._TKG + getUnifRand(
0._TKG,
1._TKG, lenData)
525+1.13798357243188471846978881380190435,
+1.57301668421122624776416989289771849,
+1.86297648605203739394217199992518790,
+1.43427768626068571356495805849810268,
+1.81683762880228069712830452872656057,
+1.11277395615051322656763231718767288,
+1.84098308896093961002361837047410652,
+1.28378089494844782387123241415030410,
+1.70947089778060736340053612454012680,
+1.07182750620217080530061216447087480,
+1.34464716545860504646283515901534593
527+16.1885755672593986464958598436879043,
-0.500344291825488479311256373915709878,
-0.768425345856134642689407295519436115,
-0.544673109503414530059883590109138357,
-0.749242208834071458131838049017545070,
-0.113099956449841141053883871320766927,
+0.867434232074922876019039269148341461E-2,
-0.293643136530606628403668185220356949,
-0.532950228647081767638067569456027322E-1,
-0.383617640944982592835399425367504039,
+1.77704792952563765231174798914096997
528getFFTF(
cmplx(data,
kind = TKG))
529(
+16.1885755672593986464958598436879043,
+0.00000000000000000000000000000000000), (
-0.500344291825488479311256373915710648,
-0.768425345856134642689407295519436212), (
-0.544673109503414530059883590109137587,
-0.749242208834071458131838049017544877), (
-0.113099956449841141053883871320767890,
+0.867434232074922876019039269148312572E-2), (
-0.293643136530606628403668185220356372,
-0.532950228647081767638067569456023470E-1), (
-0.383617640944982592835399425367506350,
+1.77704792952563765231174798914096958), (
-0.383617640944982592835399425367506350,
-1.77704792952563765231174798914096958), (
-0.293643136530606628403668185220356372,
+0.532950228647081767638067569456023470E-1), (
-0.113099956449841141053883871320767890,
-0.867434232074922876019039269148312572E-2), (
-0.544673109503414530059883590109137587,
+0.749242208834071458131838049017544877), (
-0.500344291825488479311256373915710648,
+0.768425345856134642689407295519436212)
531+1.13798357243188471846978881380190454,
+1.57301668421122624776416989289771811,
+1.86297648605203739394217199992518848,
+1.43427768626068571356495805849810211,
+1.81683762880228069712830452872656115,
+1.11277395615051322656763231718767192,
+1.84098308896093961002361837047410614,
+1.28378089494844782387123241415030430,
+1.70947089778060736340053612454012642,
+1.07182750620217080530061216447087480,
+1.34464716545860504646283515901534574
533(
+1.13798357243188471846978881380190435,
+0.00000000000000000000000000000000000), (
+1.57301668421122624776416989289771869,
+0.00000000000000000000000000000000000), (
+1.86297648605203739394217199992518809,
+0.00000000000000000000000000000000000), (
+1.43427768626068571356495805849810249,
+0.00000000000000000000000000000000000), (
+1.81683762880228069712830452872656096,
+0.00000000000000000000000000000000000), (
+1.11277395615051322656763231718767249,
+0.00000000000000000000000000000000000), (
+1.84098308896093961002361837047410614,
+0.00000000000000000000000000000000000), (
+1.28378089494844782387123241415030449,
+0.00000000000000000000000000000000000), (
+1.70947089778060736340053612454012680,
+0.00000000000000000000000000000000000), (
+1.07182750620217080530061216447087480,
+0.00000000000000000000000000000000000), (
+1.34464716545860504646283515901534612,
+0.00000000000000000000000000000000000)
534reltol
= sqrt(
epsilon(
1._TKG))
536+0.138777878078144567552953958511352539E-16
538T, T, T, T, T, T, T, T, T, T, T
- Test:
- test_pm_fftpack
Final Remarks ⛓
If you believe this algorithm or its documentation can be improved, we appreciate your contribution and help to edit this page's documentation and source file on GitHub.
For details on the naming abbreviations, see this page.
For details on the naming conventions, see this page.
This software is distributed under the MIT license with additional terms outlined below.
-
If you use any parts or concepts from this library to any extent, please acknowledge the usage by citing the relevant publications of the ParaMonte library.
-
If you regenerate any parts/ideas from this library in a programming environment other than those currently supported by this ParaMonte library (i.e., other than C, C++, Fortran, MATLAB, Python, R), please also ask the end users to cite this original ParaMonte library.
This software is available to the public under a highly permissive license.
Help us justify its continued development and maintenance by acknowledging its benefit to society, distributing it, and contributing to it.
- Copyright
- Computational Data Science Lab
- Author:
- Fatemeh Bagheri, Tuesday 11:34 PM, August 10, 2021, Dallas, TX
Definition at line 746 of file pm_fftpack.F90.