Fix special-value handling for math.sum.

Also minor cleanups to the code: fix tabbing, remove
trailing whitespace, and reformat to fit into 80
columns.

Modules/mathmodule.c

@@ -414,6 +414,7 @@ math_sum(PyObject *self, PyObject *seq)
 	PyObject *item, *iter, *sum = NULL;
 	Py_ssize_t i, j, n = 0, m = NUM_PARTIALS;
 	double x, y, t, ps[NUM_PARTIALS], *p = ps;
+	double xsave, special_sum = 0.0, inf_sum = 0.0;
 	volatile double hi, yr, lo;
 
 	iter = PyObject_GetIter(seq);
@@ -438,10 +439,11 @@ math_sum(PyObject *self, PyObject *seq)
 		if (PyErr_Occurred())
 			goto _sum_error;
 
+		xsave = x;
 		for (i = j = 0; j < n; j++) {       /* for y in partials */
 			y = p[j];
 			if (fabs(x) < fabs(y)) {
-					t = x; x = y; y = t;
+				t = x; x = y; y = t;
 			}
 			hi = x + y;
 			yr = hi - x;
@@ -450,54 +452,68 @@ math_sum(PyObject *self, PyObject *seq)
 				p[i++] = lo;
 			x = hi;
 		}
-		
-		n = i;                              /* ps[i:] = [x] */                   
+
+		n = i;                              /* ps[i:] = [x] */
 		if (x != 0.0) {
-			/* If non-finite, reset partials, effectively
-			   adding subsequent items without roundoff
-			   and yielding correct non-finite results,
-			   provided IEEE 754 rules are observed */
-			if (! Py_IS_FINITE(x))
+			if (! Py_IS_FINITE(x)) {
+				/* a nonfinite x could arise either as
+				   a result of intermediate overflow, or
+				   as a result of a nan or inf in the
+				   summands */
+				if (Py_IS_FINITE(xsave)) {
+					PyErr_SetString(PyExc_OverflowError,
+					      "intermediate overflow in sum");
+					goto _sum_error;
+				}
+				if (Py_IS_INFINITY(xsave))
+					inf_sum += xsave;
+				special_sum += xsave;
+				/* reset partials */
 				n = 0;
+			}
 			else if (n >= m && _sum_realloc(&p, n, ps, &m))
 				goto _sum_error;
-			p[n++] = x;
+			else
+				p[n++] = x;
 		}
 	}
 
+	if (special_sum != 0.0) {
+		if (Py_IS_NAN(inf_sum))
+			PyErr_SetString(PyExc_ValueError,
+					"-inf + inf in sum");
+		else
+			sum = PyFloat_FromDouble(special_sum);
+		goto _sum_error;
+	}
+
 	hi = 0.0;
 	if (n > 0) {
 		hi = p[--n];
-		if (Py_IS_FINITE(hi)) {
-			/* sum_exact(ps, hi) from the top, stop when the sum becomes inexact. */
-			while (n > 0) {
-				x = hi;
-				y = p[--n];
-				assert(fabs(y) < fabs(x));
-				hi = x + y;
-				yr = hi - x;
-				lo = y - yr;
-				if (lo != 0.0)
-					break;
-			}
-			/* Make half-even rounding work across multiple partials.  Needed 
-			   so that sum([1e-16, 1, 1e16]) will round-up the last digit to 
-			   two instead of down to zero (the 1e-16 makes the 1 slightly 
-			   closer to two).  With a potential 1 ULP rounding error fixed-up,
-			   math.sum() can guarantee commutativity. */
-			if (n > 0 && ((lo < 0.0 && p[n-1] < 0.0) ||
-			              (lo > 0.0 && p[n-1] > 0.0))) {
-				y = lo * 2.0;
-				x = hi + y;
-				yr = x - hi;
-				if (y == yr)
-					hi = x;
-			}
+		/* sum_exact(ps, hi) from the top, stop when the sum becomes
+		   inexact. */
+		while (n > 0) {
+			x = hi;
+			y = p[--n];
+			assert(fabs(y) < fabs(x));
+			hi = x + y;
+			yr = hi - x;
+			lo = y - yr;
+			if (lo != 0.0)
+				break;
 		}
-		else {  /* raise exception corresponding to a special value */
-			errno = Py_IS_NAN(hi) ? EDOM : ERANGE;
-			if (is_error(hi))
-				goto _sum_error;
+		/* Make half-even rounding work across multiple partials.
+		   Needed so that sum([1e-16, 1, 1e16]) will round-up the last
+		   digit to two instead of down to zero (the 1e-16 makes the 1
+		   slightly closer to two).  With a potential 1 ULP rounding
+		   error fixed-up, math.sum() can guarantee commutativity. */
+		if (n > 0 && ((lo < 0.0 && p[n-1] < 0.0) ||
+			      (lo > 0.0 && p[n-1] > 0.0))) {
+			y = lo * 2.0;
+			x = hi + y;
+			yr = x - hi;
+			if (y == yr)
+				hi = x;
 		}
 	}
 	sum = PyFloat_FromDouble(hi);