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180 | with Ada.Text_Io; use Ada.Text_IO ;
with Ada.Long_Float_Text_IO ; use Ada.Long_Float_Text_IO ;
with Ada.Integer_Text_Io; use Ada.Integer_Text_Io;
with Interfaces.C; use Interfaces.C ;
with Interfaces.C.Strings;
with gsl ;
with gsl.rng ;
with gsl.randist ;
with gsl.statistics ;
with gsl.rstat ;
with gsl.sort_double ;
procedure statistics is
-- rand(Float64,64)
random_values : constant gsl.Long_Float_array :=
(0.6839381853605606, 0.9969779599687887, 0.6494799416396935, 0.6738563793810768,
0.4466766434069719, 0.5468592763191233, 0.5005775319913994, 0.24104970185527097,
0.721870773818154, 0.24420878862651374, 0.3210445173795178, 0.8172867136455346,
0.39704768557558456, 0.10609804690837332, 0.3945131035759507, 0.5839216839010354,
0.9104335733318845, 0.31634769072179325, 0.5895070365220522, 0.27132384222531336,
0.6988626948612783, 0.18059903196885874, 0.08336299160749083, 0.32020647353421194,
0.40297612787898773, 0.7235828674700184, 0.8347223450852815, 0.29785908898899704,
0.1181012910541206, 0.5461417721567989, 0.634215657292513, 0.2878742359492805,
0.9977499192830578, 0.809157181797072, 0.593448576909427, 0.04982609704658092,
0.7342102740376639, 0.8609372491744139, 0.7498670011359, 0.2184094951012312,
0.061617757003315066, 0.03667014848542027, 0.04614381563591252, 0.7195117811325236,
0.18691528314341987, 0.482672855180976, 0.6921117159031446, 0.8998497561326896,
0.11872098633853478, 0.5785075636309084, 0.5321582005125715, 0.6658189583772859,
0.9527903919192431, 0.5568841478976171, 0.6443321406578448, 0.9598618957298377,
0.5886627917010728, 0.8577310882535446, 0.4337618388364225, 0.043704531558826365,
0.04944233237964346, 0.21555069639611824, 0.14851620562404466, 0.4600302846819925);
-- julia> maximum(r)
--0.9977499192830578
--julia> minimum(r)
--0.03667014848542027
--julia> mean(r)
--0.4919858846187607
--julia> std(r)
--0.2840111098108367
--julia> var(r)
--0.08066231049598314
--julia> skewness(r)
-- -0.034201534655284256
--julia> kurtosis(r)
-- -1.1146180363311742
procedure Test is
vals : gsl.double_array(1..5);
vals2 : gsl.double_array := (17.2, 18.1, 16.5, 18.3, 12.6) ;
begin
for i in vals'range
loop
vals(i) := double(i) ;
end loop ;
Put( "Mean "); Put( Long_Float(gsl.statistics.mean(vals)) ); New_Line;
Put( "Variance "); Put( Long_Float(gsl.statistics.variance(vals)) ); New_Line;
Put( "Sd "); Put( Long_Float(gsl.statistics.sd(vals)) ); New_Line;
Put("Predefined values");New_Line;
Put( "Mean "); Put( Long_Float(gsl.statistics.mean(vals2)) , aft => 2 , exp => 0 ); New_Line;
Put( "Variance "); Put( Long_Float(gsl.statistics.variance(vals2)) , aft => 2 , exp => 0 ); New_Line;
Put( "Sd "); Put( Long_Float(gsl.statistics.sd(vals2)) , aft => 2 , exp => 0 ); New_Line;
Put( "Skew "); Put( Long_Float(gsl.statistics.skew(vals2)) , aft => 2 , exp => 0 ); New_Line;
Put( "Kurtosis "); Put( Long_Float(gsl.statistics.kurtosis(vals2)) , aft => 2 , exp => 0 ); New_Line;
Put( "Tss "); Put( Long_Float(gsl.statistics.tss(vals2)) , aft => 2 , exp => 0 ); New_Line;
Put( "Max "); Put( Long_Float(gsl.statistics.max(vals2) ) , aft => 2 , exp => 0 ); New_Line;
Put( "Min "); Put( Long_Float(gsl.statistics.min(vals2)) , aft => 2 , exp => 0 ); New_Line;
Put("Random Numbers from Julia");New_Line;
Put( "Max "); Put( Long_Float(gsl.statistics.max(random_values) ) , aft => 2 , exp => 0 ); New_Line;
Put( "Min "); Put( Long_Float(gsl.statistics.min(random_values)) , aft => 2 , exp => 0 ); New_Line;
Put( "Mean "); Put( Long_Float(gsl.statistics.mean(random_values)) , aft => 2 , exp => 0 ); New_Line;
Put( "Variance "); Put( Long_Float(gsl.statistics.variance(random_values)) , aft => 2 , exp => 0 ); New_Line;
Put( "Sd "); Put( Long_Float(gsl.statistics.sd(random_values)) , aft => 2 , exp => 0 ); New_Line;
Put( "Skew "); Put( Long_Float(gsl.statistics.skew(random_values)) , aft => 2 , exp => 0 ); New_Line;
Put( "Kurtosis "); Put( Long_Float(gsl.statistics.kurtosis(random_values)) , aft => 2 , exp => 0 ); New_Line;
Put( "Tss "); Put( Long_Float(gsl.statistics.tss(random_values)) , aft => 2 , exp => 0 ); New_Line;
end Test ;
procedure TestRunning is
ws : access gsl.rstat.gsl_rstat_workspace := gsl.rstat.alloc ;
status : Int ;
begin
for i in random_values'Range
loop
Status := gsl.rstat.add(random_values(i),ws);
end loop;
Put( "Count "); Put(Integer(gsl.rstat.n(ws))); New_Line;
Put( "Max "); Put( Long_Float(gsl.rstat.max(ws)) ); New_Line;
Put( "Min "); Put( Long_Float(gsl.rstat.min(ws)) ); New_Line;
Put( "Mean "); Put( Long_Float(gsl.rstat.mean(ws)) ); New_Line;
Put( "Variance "); Put( Long_Float(gsl.rstat.variance(ws)) ); New_Line;
Put( "Sd "); Put( Long_Float(gsl.rstat.sd(ws)) ); New_Line;
Put( "Skew "); Put( Long_Float(gsl.rstat.skew(ws)) ); New_Line;
Put( "Kurtosis "); Put( Long_Float(gsl.rstat.kurtosis(ws)) ); New_Line;
Put( "RMS "); Put(Long_Float(gsl.rstat.rms(ws))); New_Line;
gsl.rstat.free(ws);
end TestRunning;
procedure TestQuantile is
def : access constant gsl.rng.gsl_rng_type := gsl.rng.default ;
rng : access gsl.rng.gsl_rng := gsl.rng.alloc(def) ;
ws_25 : access gsl.rstat.gsl_rstat_quantile_workspace;
ws_5 : access gsl.rstat.gsl_rstat_quantile_workspace;
ws_75 : access gsl.rstat.gsl_rstat_quantile_workspace;
ran : double ;
N : constant := 10_000;
ranvals : gsl.double_array(1..N);
Status : Int ;
qval : double ;
begin
Ada.Long_Float_Text_IO.Default_aft := 4;
Put_Line("Quantile estimate test");
ws_25 := gsl.rstat.quantile_alloc(0.25);
ws_5 := gsl.rstat.quantile_alloc(0.5);
ws_75 := gsl.rstat.quantile_alloc(0.75);
for i in 1..N
loop
ran := gsl.randist.rayleigh(rng,1.0);
Status := gsl.rstat.quantile_add(ran,ws_25);
Status := gsl.rstat.quantile_add(ran,ws_5);
Status := gsl.rstat.quantile_add(ran,ws_75);
ranvals(i) := ran;
end loop;
qval := gsl.rstat.quantile_get(ws_25);
Put("Quantile 0.25 estimate "); Put(Long_Float(qval)); New_Line;
qval := gsl.rstat.quantile_get(ws_5);
Put("Quantile 0.5 estimate "); Put(Long_Float(qval)); New_Line;
qval := gsl.rstat.quantile_get(ws_75);
Put("Quantile 0.75 estimate "); Put(Long_Float(qval)); New_Line;
gsl.rstat.quantile_free(ws_25);
gsl.rstat.quantile_free(ws_5);
gsl.rstat.quantile_free(ws_75);
gsl.sort_double.sort(ranvals) ;
Put_Line("From sorted data");
Put("Median "); Put(Long_Float(gsl.statistics.median_from_sorted_data(ranvals))); New_Line;
Put("Quantile 0.25 "); Put(Long_Float(gsl.statistics.quantile_from_sorted_data(ranvals,0.25))); New_Line;
Put("Quantile 0.5 "); Put(Long_Float(gsl.statistics.quantile_from_sorted_data(ranvals,0.5))); New_Line;
Put("Quantile 0.75 "); Put(Long_Float(gsl.statistics.quantile_from_sorted_data(ranvals,0.75))); New_Line;
Put_Line("Estimators");
declare
ws_13 : double := gsl.statistics.quantile_from_sorted_data(ranvals,0.3333) ;
ws_5 : double := gsl.statistics.quantile_from_sorted_data(ranvals,0.5) ;
ws_23 : double := gsl.statistics.quantile_from_sorted_data(ranvals,0.6666) ;
begin
Put("Computed Gastwirth estimate ");
Put(Long_Float(0.3 * ws_13 + 0.4 * ws_5 + 0.3 * ws_23));
New_Line ;
Put("Library result ");
Put(Long_Float(gsl.statistics.gastwirth_from_sorted_data(ranvals)));
New_Line;
end ;
end TestQuantile;
begin
Ada.Long_Float_Text_IO.Default_exp := 0;
Ada.Long_Float_Text_IO.Default_aft := 2;
Test;
TestRunning;
TestQuantile;
end statistics ;
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