static void split_into(
word r, word g, word b,
int n, byte *inxs
)
{
byte inx;
if ( n >= 9 )
{
inx = takefrom(div9(r), div9(g), div9(b));
b -= gbmrgb_vga[inx].b;
g -= gbmrgb_vga[inx].g;
r -= gbmrgb_vga[inx].r;
*inxs++ = inx;
inx = takefrom(div8(r), div8(g), div8(b));
b -= gbmrgb_vga[inx].b;
g -= gbmrgb_vga[inx].g;
r -= gbmrgb_vga[inx].r;
*inxs++ = inx;
inx = takefrom(div7(r), div7(g), div7(b));
b -= gbmrgb_vga[inx].b;
g -= gbmrgb_vga[inx].g;
r -= gbmrgb_vga[inx].r;
*inxs++ = inx;
}
if ( n >= 6 )
{
inx = takefrom(div6(r), div6(g), div6(b));
b -= gbmrgb_vga[inx].b;
g -= gbmrgb_vga[inx].g;
r -= gbmrgb_vga[inx].r;
*inxs++ = inx;
inx = takefrom(div5(r), div5(g), div5(b));
b -= gbmrgb_vga[inx].b;
g -= gbmrgb_vga[inx].g;
r -= gbmrgb_vga[inx].r;
*inxs++ = inx;
}
if ( n >= 4 )
{
inx = takefrom(div4(r), div4(g), div4(b));
b -= gbmrgb_vga[inx].b;
g -= gbmrgb_vga[inx].g;
r -= gbmrgb_vga[inx].r;
*inxs++ = inx;
}
if ( n >= 3 )
{
inx = takefrom(div3(r), div3(g), div3(b));
b -= gbmrgb_vga[inx].b;
g -= gbmrgb_vga[inx].g;
r -= gbmrgb_vga[inx].r;
*inxs++ = inx;
}
inx = takefrom(div2(r), div2(g), div2(b));
b -= gbmrgb_vga[inx].b;
g -= gbmrgb_vga[inx].g;
r -= gbmrgb_vga[inx].r;
*inxs++ = inx;
*inxs = takefrom(r, g, b);
}
static int
find_roots(double a1, double a2, double a3, double *x1, double *x2, double *x3)
{
double x, t;
double p, q;
q = (a1*a1-3.0*a2) / 9.0;
p = (2.0*a1*a1*a1-9.0*a1*a2+27.0*a3) / 54.0;
t = q*q*q - p*p;
if (t >= 0.0) {
t = acos(p /(q * sqrt(q)));
x = -2.0*sqrt(q)*cos(t / 3.0) - a1/3.0;
} else {
if (p > 0.0) {
t = pow(sqrt(-t)+p, 1.0 / 3.0);
x = -(t + q / t) - a1/3.0;
} else if (p == 0.0) {
x = -a1/3.0;
} else {
t = pow(sqrt(-t)-p, 1.0 / 3.0);
x = (t + q / t) - a1/3.0;
}
}
{
double x_backup = x;
int i = 0;
for (t = root3(a1, a2, a3, x); ABS(t-x) > 5.0e-4;
t = root3(a1, a2, a3, x))
if (++i == 32) {
x = x_backup;
break;
} else
x = t;
}
/*
x = a1;
i = 0;
j = 0;
for (t = root3(a1, a2, a3, x); ABS(t-x) > epsi;
t = root3(a1, a2, a3, x)) {
x = t;
i++;
if (i > 1000) {
x = 0.5 * (x + root3(a1, a2, a3, x));
j++;
if (j == 3)
break;
i = 0;
}
}
*/
*x1 = x;
div3(a1, a2, a3, x, &a1, &a2);
t = a1 * a1 - 4.0 * a2;
if (t < 0) {
printf("***** Two Imaginary Roots in Characteristic Admittance.\n");
controlled_exit(EXIT_FAILURE);
}
t *= 1.0e-18;
t = sqrt(t) * 1.0e9;
if (a1 >= 0.0)
*x2 = t = -0.5 * (a1 + t);
else
*x2 = t = -0.5 * (a1 - t);
*x3 = a2 / t;
/*
*x2 = 0.5 * (-a1 + t);
*x3 = 0.5 * (-a1 - t);
*/
return(1);
}
static int
exp_find_roots(double a1, double a2, double a3, double *ex1, double *ex2, double *ex3)
{
double x, t;
double p, q;
q = (a1*a1-3.0*a2) / 9.0;
p = (2.0*a1*a1*a1-9.0*a1*a2+27.0*a3) / 54.0;
t = q*q*q - p*p;
if (t >= 0.0) {
t = acos(p /(q * sqrt(q)));
x = -2.0*sqrt(q)*cos(t / 3.0) - a1/3.0;
} else {
if (p > 0.0) {
t = pow(sqrt(-t)+p, 1.0 / 3.0);
x = -(t + q / t) - a1/3.0;
} else if (p == 0.0) {
x = -a1/3.0;
} else {
t = pow(sqrt(-t)-p, 1.0 / 3.0);
x = (t + q / t) - a1/3.0;
}
}
{
double ex1;
int i = 0;
ex1 = x;
for (t = root3(a1, a2, a3, x); ABS(t-x) > 5.0e-4;
t = root3(a1, a2, a3, x))
if (++i == 32) {
x = ex1;
break;
} else
x = t;
}
/***
x = a1;
for (t = root3(a1, a2, a3, x); ABS(t-x) > epsi2;
t = root3(a1, a2, a3, x)) {
x = t;
i++;
if (i > 1000) {
x = 0.5 * (x + root3(a1, a2, a3, x));
j++;
if (j == 3)
break;
i = 0;
}
}
***/
*ex1 = x;
div3(a1, a2, a3, x, &a1, &a2);
t = a1 * a1 - 4.0 * a2;
if (t < 0) {
ifImg = 1;
printf("***** Two Imaginary Roots.\n");
*ex3 = 0.5 * sqrt(-t);
*ex2 = -0.5 * a1;
} else {
ifImg = 0;
t *= 1.0e-16;
t = sqrt(t)*1.0e8;
if (a1 >= 0.0)
*ex2 = t = -0.5 * (a1 + t);
else
*ex2 = t = -0.5 * (a1 - t);
*ex3 = a2 / t;
/*
*ex2 = 0.5 * (-a1 + t);
*ex3 = 0.5 * (-a1 - t);
*/
}
return(1);
}
inline void normalized3(vec3 * r, vec3 v) {
scalar l = length3( v );
div3( r, v, l );
}