```/* nag_lookback_fls_greeks (s30bbc) Example Program.
*
* Copyright 2017 Numerical Algorithms Group.
*
* Mark 26.1, 2017.
*/
#include <stdio.h>
#include <math.h>
#include <string.h>
#include <nag.h>
#include <nag_stdlib.h>
#include <nags.h>

int main(void)
{
/* Integer scalar and array declarations */
Integer exit_status = 0;
Integer i, j, m, n;
NagError fail;
Nag_CallPut putnum;
/* Double scalar and array declarations */
double q, r, s, sigma;
double *charm = 0, *colour = 0, *crho = 0, *delta = 0, *gamma = 0;
double *p = 0, *rho = 0, *sm = 0, *speed = 0, *t = 0, *theta = 0;
double *vanna = 0, *vega = 0, *vomma = 0, *zomma = 0;
/* Character scalar and array declarations */
char put[8 + 1];
Nag_OrderType order;

INIT_FAIL(fail);

printf("nag_lookback_fls_greeks (s30bbc) Example Program Results\n");
printf("Floating-Strike Lookback\n\n");
/* Skip heading in data file */
scanf("%*[^\n] ");
scanf("%8s%*[^\n] ", put);
/*
* nag_enum_name_to_value (x04nac).
* Converts NAG enum member name to value
*/
putnum = (Nag_CallPut) nag_enum_name_to_value(put);
/* Read sigma, r, jvol */
scanf("%lf%lf%lf%lf%*[^\n] ", &s, &sigma, &r, &q);
scanf("%" NAG_IFMT "%" NAG_IFMT "%*[^\n] ", &m, &n);
#ifdef NAG_COLUMN_MAJOR
#define CHARM(I, J)  charm[(J-1)*m + I-1]
#define COLOUR(I, J) colour[(J-1)*m + I-1]
#define CRHO(I, J)   crho[(J-1)*m + I-1]
#define DELTA(I, J)  delta[(J-1)*m + I-1]
#define GAMMA(I, J)  gamma[(J-1)*m + I-1]
#define P(I, J)      p[(J-1)*m + I-1]
#define RHO(I, J)    rho[(J-1)*m + I-1]
#define SPEED(I, J)  speed[(J-1)*m + I-1]
#define THETA(I, J)  theta[(J-1)*m + I-1]
#define VANNA(I, J)  vanna[(J-1)*m + I-1]
#define VEGA(I, J)   vega[(J-1)*m + I-1]
#define VOMMA(I, J)  vomma[(J-1)*m + I-1]
#define ZOMMA(I, J)  zomma[(J-1)*m + I-1]
order = Nag_ColMajor;
#else
#define CHARM(I, J)  charm[(I-1)*n + J-1]
#define COLOUR(I, J) colour[(I-1)*n + J-1]
#define CRHO(I, J)   crho[(I-1)*n + J-1]
#define DELTA(I, J)  delta[(I-1)*n + J-1]
#define GAMMA(I, J)  gamma[(I-1)*n + J-1]
#define P(I, J)      p[(I-1)*n + J-1]
#define RHO(I, J)    rho[(I-1)*n + J-1]
#define SPEED(I, J)  speed[(I-1)*n + J-1]
#define THETA(I, J)  theta[(I-1)*n + J-1]
#define VANNA(I, J)  vanna[(I-1)*n + J-1]
#define VEGA(I, J)   vega[(I-1)*n + J-1]
#define VOMMA(I, J)  vomma[(I-1)*n + J-1]
#define ZOMMA(I, J)  zomma[(I-1)*n + J-1]
order = Nag_RowMajor;
#endif
if (!(charm = NAG_ALLOC(m * n, double)) ||
!(colour = NAG_ALLOC(m * n, double)) ||
!(crho = NAG_ALLOC(m * n, double)) ||
!(delta = NAG_ALLOC(m * n, double)) ||
!(gamma = NAG_ALLOC(m * n, double)) ||
!(p = NAG_ALLOC(m * n, double)) ||
!(rho = NAG_ALLOC(m * n, double)) ||
!(sm = NAG_ALLOC(m, double)) ||
!(speed = NAG_ALLOC(m * n, double)) ||
!(t = NAG_ALLOC(n, double)) ||
!(theta = NAG_ALLOC(m * n, double)) ||
!(vanna = NAG_ALLOC(m * n, double)) ||
!(vega = NAG_ALLOC(m * n, double)) ||
!(vomma = NAG_ALLOC(m * n, double)) ||
!(zomma = NAG_ALLOC(m * n, double)))
{
printf("Allocation failure\n");
exit_status = -1;
goto END;
}
/* Read array of min/max prices, SM */
for (i = 0; i < m; i++)
scanf("%lf ", &sm[i]);
scanf("%*[^\n] ");
/* Read array of times to expiry */
for (i = 0; i < n; i++)
scanf("%lf ", &t[i]);
scanf("%*[^\n] ");
/*
* nag_lookback_fls_greeks (s30bbc)
* Floating-strike lookback option pricing formula with Greeks
*/
nag_lookback_fls_greeks(order, putnum, m, n, sm, s, t, sigma, r, q, p,
delta, gamma, vega, theta, rho, crho, vanna, charm,
speed, colour, zomma, vomma, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_lookback_fls_greeks (s30bbc).\n%s\n",
fail.message);
exit_status = 1;
goto END;
}
if (putnum == Nag_Call)
printf("European Call :\n\n");
else if (putnum == Nag_Put)
printf("European Put :\n\n");
printf("%s%8.4f\n", "  Spot       = ", s);
printf("%s%8.4f\n", "  Volatility = ", sigma);
printf("%s%8.4f\n", "  Rate       = ", r);
printf("%s%8.4f\n", "  Dividend   = ", q);
printf("\n");
for (j = 1; j <= n; j++) {
printf("\n");
printf("  Time to Expiry :    %8.4f\n", t[j - 1]);
printf("   Strike     Price     Delta     Gamma      Vega   "
"  Theta       Rho      CRho\n");
for (i = 1; i <= m; i++)
printf("%9.4f %9.4f %9.4f %9.4f %9.4f %9.4f %9.4f %9.4f\n",
sm[i - 1], P(i, j), DELTA(i, j), GAMMA(i, j), VEGA(i, j),
THETA(i, j), RHO(i, j), CRHO(i, j));
printf("                        Vanna     Charm     Speed    "
"Colour     Zomma     Vomma\n");
for (i = 1; i <= m; i++)
printf("%29.4f %9.4f %9.4f %9.4f %9.4f %9.4f\n", VANNA(i, j),
CHARM(i, j), SPEED(i, j), COLOUR(i, j), ZOMMA(i, j),
VOMMA(i, j));
}

END:
NAG_FREE(charm);
NAG_FREE(colour);
NAG_FREE(crho);
NAG_FREE(delta);
NAG_FREE(gamma);
NAG_FREE(p);
NAG_FREE(rho);
NAG_FREE(sm);
NAG_FREE(speed);
NAG_FREE(t);
NAG_FREE(theta);
NAG_FREE(vanna);
NAG_FREE(vega);
NAG_FREE(vomma);
NAG_FREE(zomma);

return exit_status;
}
```