ENH: add StaticAssert to Polynomial - positive number of terms only

ENH: allow construct from UList of coefficients, from C-arrays
     avoid uninitialized values for null constructor

applications/test/Polynomial/PolynomialTest.C

@@ -29,29 +29,30 @@ Description
 
 \*---------------------------------------------------------------------------*/
 
-#include "IFstream.H"
+#include "IStringStream.H"
 #include "Polynomial.H"
 #include "Random.H"
 #include "cpuTime.H"
 
 using namespace Foam;
 
-const int nCoeffs = 8;
-const scalar coeff[] = { 0.11, 0.45, -0.94, 1.58, 2.58, 0.08, 3.15, -4.78 };
+const int PolySize = 8;
+const scalar coeff[] = { 0.11, 0.45, -0.94, 1.58, -2.58, 0.08, 3.15, -4.78 };
+const char* polyDef = "testPoly (0.11 0.45 -0.94 1.58 -2.58 0.08 3.15 -4.78)";
 
 
 scalar polyValue(const scalar x)
 {
     // Hard-coded polynomial 8 coeff (7th order)
     return
-        0.11
-      + 0.45*x
-      - 0.94*sqr(x)
-      + 1.58*pow3(x)
-      - 2.58*pow4(x)
-      + 0.08*pow5(x)
-      + 3.15*pow6(x)
-      - 4.78*x*pow6(x);
+        coeff[0]
+      + coeff[1]*x
+      + coeff[2]*sqr(x)
+      + coeff[3]*pow3(x)
+      + coeff[4]*pow4(x)
+      + coeff[5]*pow5(x)
+      + coeff[6]*pow6(x)
+      + coeff[7]*x*pow6(x);
 }
 
 
@@ -59,14 +60,14 @@ scalar intPolyValue(const scalar x)
 {
     // Hard-coded integrated form of above polynomial
     return
-        0.11*x
-      + 0.45/2.0*sqr(x)
-      - 0.94/3.0*pow3(x)
-      + 1.58/4.0*pow4(x)
-      - 2.58/5.0*pow5(x)
-      + 0.08/6.0*pow6(x)
-      + 3.15/7.0*x*pow6(x)
-      - 4.78/8.0*x*x*pow6(x);
+        coeff[0]*x
+      + coeff[1]/2.0*sqr(x)
+      + coeff[2]/3.0*pow3(x)
+      + coeff[3]/4.0*pow4(x)
+      + coeff[4]/5.0*pow5(x)
+      + coeff[5]/6.0*pow6(x)
+      + coeff[6]/7.0*x*pow6(x)
+      + coeff[7]/8.0*x*x*pow6(x);
 }
 
 
@@ -75,7 +76,7 @@ scalar polyValue1(const scalar x)
     // "normal" evaluation using pow()
     scalar value = coeff[0];
 
-    for (int i=1; i < nCoeffs; ++i)
+    for (int i=1; i < PolySize; ++i)
     {
         value += coeff[i]*pow(x, i);
     }
@@ -84,15 +85,16 @@ scalar polyValue1(const scalar x)
 }
 
 
-// calculation avoiding pow()
 scalar polyValue2(const scalar x)
 {
+    // calculation avoiding pow()
     scalar value = coeff[0];
 
     scalar powX = x;
-    for (int i=1; i < nCoeffs; ++i, powX *= x)
+    for (int i=1; i < PolySize; ++i)
     {
         value += coeff[i] * powX;
+        powX *= x;
     }
 
     return value;
@@ -107,9 +109,10 @@ int main(int argc, char *argv[])
     const label nIters = 1000;
     scalar sum = 0.0;
 
-    IFstream is("polyTestInput");
+    Info<< "null poly = " << (Polynomial<8>()) << nl << endl;
 
-    Polynomial<8> poly("testPoly", is);
+    // Polynomial<8> poly("testPoly", IStringStream(polyDef)());
+    Polynomial<8> poly(coeff);
     Polynomial<9> intPoly(poly.integrate(0.0));
 
     Info<< "poly = " << poly << endl;

applications/test/Polynomial/polyTestInput

@@ -1,11 +0,0 @@
-    testPoly
-    (
-        0.11
-        0.45
-       -0.94
-        1.58
-       -2.58
-        0.08
-        3.15
-       -4.78
-    )