Data update
This commit is contained in:
Ingy döt Net
parent
5150844a7d
commit
4bb20c9b71
7735 changed files with 38060 additions and 199180 deletions
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@ -1,54 +0,0 @@
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with Ada.Text_Io;
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with Ada.Strings.Unbounded;
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with Ada.Strings.Fixed;
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procedure Display_Linear is
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subtype Position is Positive;
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type Coefficient is new Integer;
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type Combination is array (Position range <>) of Coefficient;
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function Linear_Combination (Comb : Combination) return String is
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use Ada.Strings.Unbounded;
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use Ada.Strings;
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Accu : Unbounded_String;
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begin
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for Pos in Comb'Range loop
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case Comb (Pos) is
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when Coefficient'First .. -1 =>
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Append (Accu, (if Accu = "" then "-" else " - "));
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when 0 => null;
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when 1 .. Coefficient'Last =>
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Append (Accu, (if Accu /= "" then " + " else ""));
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end case;
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if Comb (Pos) /= 0 then
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declare
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Abs_Coeff : constant Coefficient := abs Comb (Pos);
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Coeff_Image : constant String := Fixed.Trim (Coefficient'Image (Abs_Coeff), Left);
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Exp_Image : constant String := Fixed.Trim (Position'Image (Pos), Left);
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begin
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if Abs_Coeff /= 1 then
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Append (Accu, Coeff_Image & "*");
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end if;
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Append (Accu, "e(" & Exp_Image & ")");
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end;
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end if;
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end loop;
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return (if Accu = "" then "0" else To_String (Accu));
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end Linear_Combination;
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use Ada.Text_Io;
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begin
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Put_Line (Linear_Combination ((1, 2, 3)));
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Put_Line (Linear_Combination ((0, 1, 2, 3)));
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Put_Line (Linear_Combination ((1, 0, 3, 4)));
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Put_Line (Linear_Combination ((1, 2, 0)));
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Put_Line (Linear_Combination ((0, 0, 0)));
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Put_Line (Linear_Combination ((1 => 0)));
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Put_Line (Linear_Combination ((1, 1, 1)));
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Put_Line (Linear_Combination ((-1, -1, -1)));
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Put_Line (Linear_Combination ((-1, -2, 0, -3)));
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Put_Line (Linear_Combination ((1 => -1)));
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end Display_Linear;
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@ -1,11 +1,12 @@
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linearCombination: function [coeffs][
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combo: new []
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loop.with:'i coeffs 'x [
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case [x]
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when? [=0] []
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when? [=1] -> 'combo ++ ~"e(|i+1|)"
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when? [= neg 1] -> 'combo ++ ~"-e(|i+1|)"
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else -> 'combo ++ ~"|x|*e(|i+1|)"
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case x [
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0 -> []
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1 -> 'combo ++ ~"e(|i+1|)"
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neg 1 -> 'combo ++ ~"-e(|i+1|)"
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any -> 'combo ++ ~"|x|*e(|i+1|)"
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]
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]
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join.with: " + " 'combo
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replace 'combo {/\+ -/} "- "
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@ -4,62 +4,62 @@
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int main(int argC, char* argV[])
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{
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int i,zeroCount= 0,firstNonZero = -1;
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double* vector;
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if(argC == 1){
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printf("Usage : %s <Vector component coefficients seperated by single space>",argV[0]);
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}
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else{
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printf("Vector for [");
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for(i=1;i<argC;i++){
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printf("%s,",argV[i]);
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}
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printf("\b] -> ");
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vector = (double*)malloc((argC-1)*sizeof(double));
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for(i=1;i<=argC;i++){
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vector[i-1] = atof(argV[i]);
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if(vector[i-1]==0.0)
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zeroCount++;
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if(vector[i-1]!=0.0 && firstNonZero==-1)
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firstNonZero = i-1;
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}
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if(zeroCount == argC){
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printf("0");
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}
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else{
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for(i=0;i<argC;i++){
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if(i==firstNonZero && vector[i]==1)
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printf("e%d ",i+1);
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else if(i==firstNonZero && vector[i]==-1)
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printf("- e%d ",i+1);
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else if(i==firstNonZero && vector[i]<0 && fabs(vector[i])-abs(vector[i])>0.0)
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printf("- %lf e%d ",fabs(vector[i]),i+1);
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else if(i==firstNonZero && vector[i]<0 && fabs(vector[i])-abs(vector[i])==0.0)
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printf("- %ld e%d ",labs(vector[i]),i+1);
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else if(i==firstNonZero && vector[i]>0 && fabs(vector[i])-abs(vector[i])>0.0)
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printf("%lf e%d ",vector[i],i+1);
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else if(i==firstNonZero && vector[i]>0 && fabs(vector[i])-abs(vector[i])==0.0)
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printf("%ld e%d ",vector[i],i+1);
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else if(fabs(vector[i])==1.0 && i!=0)
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printf("%c e%d ",(vector[i]==-1)?'-':'+',i+1);
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else if(i!=0 && vector[i]!=0 && fabs(vector[i])-abs(vector[i])>0.0)
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printf("%c %lf e%d ",(vector[i]<0)?'-':'+',fabs(vector[i]),i+1);
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else if(i!=0 && vector[i]!=0 && fabs(vector[i])-abs(vector[i])==0.0)
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printf("%c %ld e%d ",(vector[i]<0)?'-':'+',labs(vector[i]),i+1);
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}
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}
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}
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free(vector);
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return 0;
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int i,zeroCount= 0,firstNonZero = -1;
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double* vector;
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if(argC == 1){
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printf("Usage : %s <Vector component coefficients seperated by single space>",argV[0]);
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}
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else{
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printf("Vector for [");
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for(i=1;i<argC;i++){
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printf("%s,",argV[i]);
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}
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printf("\b] -> ");
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vector = (double*)malloc((argC-1)*sizeof(double));
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for(i=1;i<=argC;i++){
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vector[i-1] = atof(argV[i]);
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if(vector[i-1]==0.0)
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zeroCount++;
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if(vector[i-1]!=0.0 && firstNonZero==-1)
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firstNonZero = i-1;
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}
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if(zeroCount == argC){
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printf("0");
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}
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else{
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for(i=0;i<argC;i++){
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if(i==firstNonZero && vector[i]==1)
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printf("e%d ",i+1);
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else if(i==firstNonZero && vector[i]==-1)
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printf("- e%d ",i+1);
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else if(i==firstNonZero && vector[i]<0 && fabs(vector[i])-abs(vector[i])>0.0)
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printf("- %lf e%d ",fabs(vector[i]),i+1);
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else if(i==firstNonZero && vector[i]<0 && fabs(vector[i])-abs(vector[i])==0.0)
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printf("- %ld e%d ",labs(vector[i]),i+1);
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else if(i==firstNonZero && vector[i]>0 && fabs(vector[i])-abs(vector[i])>0.0)
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printf("%lf e%d ",vector[i],i+1);
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else if(i==firstNonZero && vector[i]>0 && fabs(vector[i])-abs(vector[i])==0.0)
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printf("%ld e%d ",vector[i],i+1);
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else if(fabs(vector[i])==1.0 && i!=0)
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printf("%c e%d ",(vector[i]==-1)?'-':'+',i+1);
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else if(i!=0 && vector[i]!=0 && fabs(vector[i])-abs(vector[i])>0.0)
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printf("%c %lf e%d ",(vector[i]<0)?'-':'+',fabs(vector[i]),i+1);
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else if(i!=0 && vector[i]!=0 && fabs(vector[i])-abs(vector[i])==0.0)
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printf("%c %ld e%d ",(vector[i]<0)?'-':'+',labs(vector[i]),i+1);
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}
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}
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}
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free(vector);
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return 0;
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}
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@ -1,27 +1,25 @@
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scalars[][] = [ [ 1 2 3 ] [ 0 1 2 3 ] [ 1 0 3 4 ] [ 1 2 0 ] [ 0 0 0 ] [ 0 ] [ 1 1 1 ] [ -1 -1 -1 ] [ -1 -2 0 -3 ] [ -1 ] ]
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for n = 1 to len scalars[][]
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str$ = ""
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for m = 1 to len scalars[n][]
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scalar = scalars[n][m]
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func$ lincomb scalars[] .
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for m to len scalars[]
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scalar = scalars[m]
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m$ = "(" & m & ")"
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if scalar <> 0
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if scalar = 1
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str$ &= "+e" & m
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elif scalar = -1
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str$ &= "-e" & m
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if scalar > 0
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if str$ <> "" : str$ &= "+"
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else
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if scalar > 0
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str$ &= strchar 43 & scalar & "*e" & m
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else
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str$ = scalar & "*e" & m
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.
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str$ &= "-"
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.
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scalar = abs scalar
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if scalar = 1
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str$ &= "e" & m$
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else
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str$ &= scalar & "*e" & m$
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.
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.
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.
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if str$ = ""
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str$ = 0
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.
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if substr str$ 1 1 = "+"
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str$ = substr str$ 2 (len str$ - 1)
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.
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print str$
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if str$ = "" : str$ = 0
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return str$
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.
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scalars[][] = [ [ 1 2 3 ] [ 0 1 2 3 ] [ 1 0 3 4 ] [ 1 2 0 ] [ 0 0 0 ] [ 0 ] [ 1 1 1 ] [ -1 -1 -1 ] [ -1 -2 0 -3 ] [ -1 ] ]
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for i to len scalars[][]
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print lincomb scalars[i][]
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.
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@ -5,16 +5,16 @@
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(or*
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(for/fold (html "") ((a coeffs) (i (in-naturals 1)))
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(unless (zero? a)
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(set! plus (if plus "+" "")))
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(set! plus (if plus "+" "")))
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(string-append html
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(cond
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((= a 1) (format "%a e<sub>%d</sub> " plus i))
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((= a -1) (format "- e<sub>%d</sub> " i))
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((> a 0) (format "%a %d*e<sub>%d</sub> " plus a i))
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((< a 0) (format "- %d*e<sub>%d</sub> " (abs a) i))
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(else ""))))
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(cond
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((= a 1) (format "%a e<sub>%d</sub> " plus i))
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((= a -1) (format "- e<sub>%d</sub> " i))
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((> a 0) (format "%a %d*e<sub>%d</sub> " plus a i))
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((< a 0) (format "- %d*e<sub>%d</sub> " (abs a) i))
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(else ""))))
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"0"))
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(define linears '((1 2 3)
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(0 1 2 3)
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(1 0 3 4)
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@ -1,38 +1,24 @@
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(phixonline)-->
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<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
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<span style="color: #008080;">function</span> <span style="color: #000000;">linear_combination</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">f</span><span style="color: #0000FF;">)</span>
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<span style="color: #004080;">string</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
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<span style="color: #008080;">for</span> <span style="color: #000000;">e</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">f</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">fe</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">f</span><span style="color: #0000FF;">[</span><span style="color: #000000;">e</span><span style="color: #0000FF;">]</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">fe</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">fe</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
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<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">"+"</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">elsif</span> <span style="color: #000000;">fe</span><span style="color: #0000FF;">=-</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
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<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">"-"</span>
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<span style="color: #008080;">elsif</span> <span style="color: #000000;">fe</span><span style="color: #0000FF;">></span><span style="color: #000000;">0</span> <span style="color: #008080;">and</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
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<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"+%d*"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">fe</span><span style="color: #0000FF;">)</span>
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<span style="color: #008080;">else</span>
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<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"%d*"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">fe</span><span style="color: #0000FF;">)</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"e(%d)"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">e</span><span style="color: #0000FF;">)</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">=</span><span style="color: #008000;">""</span> <span style="color: #008080;">then</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"0"</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
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with javascript_semantics
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function linear_combination(sequence f)
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string res = "", fmt
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for i,e in f do
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if e!=0 then
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integer l = length(res)
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if abs(e)=1 then
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res &= iff(e<0?"-":iff(l?"+":""))
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else
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fmt = iff(e>0 and l?"+%d*":"%d*")
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res &= sprintf(fmt,e)
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end if
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res &= sprintf("e(%d)",i)
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end if
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end for
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if res="" then res = "0" end if
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return res
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end function
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<span style="color: #008080;">constant</span> <span style="color: #000000;">tests</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">},</span>
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<span style="color: #0000FF;">{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">},</span>
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<span style="color: #0000FF;">{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">},</span>
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<span style="color: #0000FF;">{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},</span>
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<span style="color: #0000FF;">{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},</span>
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<span style="color: #0000FF;">{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},</span>
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<span style="color: #0000FF;">{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">},</span>
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<span style="color: #0000FF;">{-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">},</span>
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<span style="color: #0000FF;">{-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">3</span><span style="color: #0000FF;">},</span>
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<span style="color: #0000FF;">{-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">}}</span>
|
||||
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #004080;">sequence</span> <span style="color: #000000;">ti</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tests</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
|
||||
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%12s -> %s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ti</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">linear_combination</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ti</span><span style="color: #0000FF;">)})</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
|
||||
<!--
|
||||
constant tests = {{1,2,3},{0,1,2,3},{1,0,3,4},{1,2,0},{0,0,0},
|
||||
{0},{1,1,1},{-1,-1,-1},{-1,-2,0,-3},{-1}}
|
||||
for t in tests do
|
||||
printf(1,"%12v -> %s\n",{t, linear_combination(t)})
|
||||
end for
|
||||
|
|
|
|||
|
|
@ -7,21 +7,21 @@ basisify <- function(v){
|
|||
terms <- c(terms, str_glue("{v[i]}*e({i})"))
|
||||
}
|
||||
}
|
||||
if(length(terms)==0) return(0)
|
||||
if(length(terms)==0) return("0")
|
||||
terms <- str_replace_all(terms, fixed("1*"), "")
|
||||
series <- str_flatten(terms, collapse=" + ")
|
||||
return(str_replace_all(series, fixed("+ -"), "- "))
|
||||
str_replace_all(series, fixed("+ -"), "- ")
|
||||
}
|
||||
|
||||
test_vectors <- list(c(1,2,3),
|
||||
c(0,1,2,3),
|
||||
c(1,0,3,4),
|
||||
c(1,2,0),
|
||||
c(0,0,0),
|
||||
test_vectors <- list(c(1, 2, 3),
|
||||
c(0, 1, 2, 3),
|
||||
c(1, 0, 3, 4),
|
||||
c(1, 2, 0),
|
||||
c(0, 0, 0),
|
||||
0,
|
||||
c(1,1,1),
|
||||
c(-1,-1,-1),
|
||||
c(-1,-2,0,-3),
|
||||
c(1, 1, 1),
|
||||
c(-1, -1, -1),
|
||||
c(-1, -2, 0, -3),
|
||||
-1)
|
||||
|
||||
print(lapply(test_vectors, basisify), quote=FALSE)
|
||||
writeLines(sapply(test_vectors, basisify))
|
||||
|
|
|
|||
|
|
@ -8,18 +8,18 @@ fn linear_combo(c []int) string {
|
|||
}
|
||||
mut op := ''
|
||||
match true {
|
||||
n < 0 && sb.len == 0 {
|
||||
op = "-"
|
||||
}
|
||||
n < 0{
|
||||
op = " - "
|
||||
}
|
||||
n > 0 && sb.len == 0 {
|
||||
op = ""
|
||||
}
|
||||
else{
|
||||
op = " + "
|
||||
}
|
||||
n < 0 && sb.len == 0 {
|
||||
op = "-"
|
||||
}
|
||||
n < 0{
|
||||
op = " - "
|
||||
}
|
||||
n > 0 && sb.len == 0 {
|
||||
op = ""
|
||||
}
|
||||
else{
|
||||
op = " + "
|
||||
}
|
||||
}
|
||||
mut av := n
|
||||
if av < 0 {
|
||||
|
|
@ -50,7 +50,7 @@ fn main() {
|
|||
[-1, -1, -1],
|
||||
[-1, -2, 0, -3],
|
||||
[-1],
|
||||
]
|
||||
]
|
||||
for c in combos {
|
||||
println("${c:-15} -> ${linear_combo(c)}")
|
||||
}
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue