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-rw-r--r--src/biveval.cpp87
1 files changed, 87 insertions, 0 deletions
diff --git a/src/biveval.cpp b/src/biveval.cpp
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+++ b/src/biveval.cpp
@@ -0,0 +1,87 @@
+/* procedures for evaluating Tseries */
+# include "projects.h"
+# define NEAR_ONE 1.00001
+static double ceval(struct PW_COEF *C, int n, projUV w, projUV w2) {
+ double d=0, dd=0, vd, vdd, tmp, *c;
+ int j;
+
+ for (C += n ; n-- ; --C ) {
+ if ( (j = C->m) != 0) {
+ vd = vdd = 0.;
+ for (c = C->c + --j; j ; --j ) {
+ vd = w2.v * (tmp = vd) - vdd + *c--;
+ vdd = tmp;
+ }
+ d = w2.u * (tmp = d) - dd + w.v * vd - vdd + 0.5 * *c;
+ } else
+ d = w2.u * (tmp = d) - dd;
+ dd = tmp;
+ }
+ if ( (j = C->m) != 0 ) {
+ vd = vdd = 0.;
+ for (c = C->c + --j; j ; --j ) {
+ vd = w2.v * (tmp = vd) - vdd + *c--;
+ vdd = tmp;
+ }
+ return (w.u * d - dd + 0.5 * ( w.v * vd - vdd + 0.5 * *c ));
+ } else
+ return (w.u * d - dd);
+}
+
+projUV /* bivariate Chebyshev polynomial entry point */
+bcheval(projUV in, Tseries *T) {
+ projUV w2, w;
+ projUV out;
+ /* scale to +-1 */
+ w.u = ( in.u + in.u - T->a.u ) * T->b.u;
+ w.v = ( in.v + in.v - T->a.v ) * T->b.v;
+ if (fabs(w.u) > NEAR_ONE || fabs(w.v) > NEAR_ONE) {
+ out.u = out.v = HUGE_VAL;
+ pj_errno = PJD_ERR_TCHEBY_VAL_OUT_OF_RANGE;
+ } else { /* double evaluation */
+ w2.u = w.u + w.u;
+ w2.v = w.v + w.v;
+ out.u = ceval(T->cu, T->mu, w, w2);
+ out.v = ceval(T->cv, T->mv, w, w2);
+ }
+ return out;
+}
+
+projUV /* bivariate power polynomial entry point */
+bpseval(projUV in, Tseries *T) {
+ projUV out;
+ double *c, row;
+ int i, m;
+
+ out.u = out.v = 0.;
+ for (i = T->mu; i >= 0; --i) {
+ row = 0.;
+ if ((m = T->cu[i].m) != 0) {
+ c = T->cu[i].c + m;
+ while (m--)
+ row = *--c + in.v * row;
+ }
+ out.u = row + in.u * out.u;
+ }
+ for (i = T->mv; i >= 0; --i) {
+ row = 0.;
+ if ((m = T->cv[i].m) != 0) {
+ c = T->cv[i].c + m;
+ while (m--)
+ row = *--c + in.v * row;
+ }
+ out.v = row + in.u * out.v;
+ }
+ return out;
+}
+
+projUV /* general entry point selecting evaluation mode */
+biveval(projUV in, Tseries *T) {
+
+ if (T->power) {
+ return bpseval(in, T);
+ } else {
+ return bcheval(in, T);
+ }
+}
+