Mathc matrices/c26a5
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c05.c |
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/* ------------------------------------ */
/* Save as : c05.c */
/* ------------------------------------ */
#include "v_a.h"
#include "d.h"
/* --------------------------------- */
int main(void)
{
double xy[10] ={
1, -5,
2, 8,
3, -7,
4, 1,
5, -4 };
double **XY = ca_A_mR(xy,i_mR(R5,C2));
double **A = i_mR(R5,C5);
double **b = i_mR(R5,C1);
double **Ab = i_Abr_Ac_bc_mR(R5,C5,C1);
clrscrn();
printf(" Find the coefficients a, b, c of the curve \n\n");
printf(" y = ax**4 + bx**3 + cx**2 + dx + e \n\n");
printf(" that passes through the points. \n\n");
printf(" x y");
p_mR(XY,S5,P0,C6);
printf(" Using the given points, we obtain this matrix\n\n");
printf(" x**4 x**3 x**2 x**1 x**0 y");
i_A_b_with_XY_mR(XY,A,b);
c_A_b_Ab_mR(A,b,Ab);
p_mR(Ab,S7,P2,C6);
stop();
clrscrn();
printf(" The Gauss Jordan process will reduce this matrix to : \n");
gj_TP_mR(Ab);
p_mR(Ab,S7,P2,C6);
printf("\n The coefficients a, b, c of the curve are : \n\n");
p_eq_poly_mR(Ab);
stop();
clrscrn();
printf(" x y \n");
p_mR(XY,S5,P0,C6);
printf("\n");
printf(" Verify the result : \n\n");
verify_X_mR(Ab,XY[R1][C1]);
verify_X_mR(Ab,XY[R2][C1]);
verify_X_mR(Ab,XY[R3][C1]);
verify_X_mR(Ab,XY[R4][C1]);
verify_X_mR(Ab,XY[R5][C1]);
printf("\n\n\n");
stop();
f_mR(XY);
f_mR(A);
f_mR(b);
f_mR(Ab);
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Exemple de sortie écran :
------------------------------------
Find the coefficients a, b, c of the curve
y = ax**4 + bx**3 + cx**2 + dx + e
that passes through the points.
x y
+1 -5
+2 +8
+3 -7
+4 +1
+5 -4
Using the given points, we obtain this matrix
x**4 x**3 x**2 x**1 x**0 y
+1.00 +1.00 +1.00 +1.00 +1.00 -5.00
+16.00 +8.00 +4.00 +2.00 +1.00 +8.00
+81.00 +27.00 +9.00 +3.00 +1.00 -7.00
+256.00 +64.00 +16.00 +4.00 +1.00 +1.00
+625.00 +125.00 +25.00 +5.00 +1.00 -4.00
Press return to continue.
The Gauss Jordan process will reduce this matrix to :
+1.00 +0.00 +0.00 +0.00 +0.00 -3.63
+0.00 +1.00 +0.00 +0.00 +0.00 +44.75
+0.00 +0.00 +1.00 +0.00 +0.00 -191.88
-0.00 -0.00 -0.00 +1.00 -0.00 +329.75
+0.00 +0.00 +0.00 +0.00 +1.00 -184.00
The coefficients a, b, c of the curve are :
y = -3.625x**4 +44.750x**3 -191.875x**2 +329.750x -184.000
Press return to continue.
x y
+1 -5
+2 +8
+3 -7
+4 +1
+5 -4
Verify the result :
With x = +1.000, y = -5.000
With x = +2.000, y = +8.000
With x = +3.000, y = -7.000
With x = +4.000, y = +1.000
With x = +5.000, y = -4.000
Press return to continue.