Finished coding part of TIP#174. Still have tests and docs to do.

1 files changed, 2870 insertions, 0 deletions

diff --git a/generic/tclMathOp.c b/generic/tclMathOp.c
new file mode 100644
index 0000000..8836da5
--- /dev/null
+++ b/generic/tclMathOp.c
@@ -0,0 +1,2870 @@
+/*
+ * tclMathOp.c --
+ *
+ *	This file contains normal command versions of the contents of the
+ *	tcl::mathop namespace.
+ *
+ * Copyright (c) 2006 by Donal K. Fellows.
+ *
+ * See the file "license.terms" for information on usage and redistribution of
+ * this file, and for a DISCLAIMER OF ALL WARRANTIES.
+ *
+ * RCS: @(#) $Id: tclMathOp.c,v 1.1 2006/11/25 17:18:10 dkf Exp $
+ */
+
+#include "tclInt.h"
+#include "tclCompile.h"
+#include "tommath.h"
+#include <math.h>
+#include <float.h>
+
+/*
+ * Hack to determine whether we may expect IEEE floating point. The hack is
+ * formally incorrect in that non-IEEE platforms might have the same precision
+ * and range, but VAX, IBM, and Cray do not; are there any other floating
+ * point units that we might care about?
+ */
+
+#if (FLT_RADIX == 2) && (DBL_MANT_DIG == 53) && (DBL_MAX_EXP == 1024)
+#define IEEE_FLOATING_POINT
+#endif
+
+/*
+ * The stuff below is a bit of a hack so that this file can be used in
+ * environments that include no UNIX.
+ * TODO: Does this serve any purpose anymore?
+ */
+
+#ifdef TCL_GENERIC_ONLY
+#   ifndef NO_FLOAT_H
+#	include <float.h>
+#   else /* NO_FLOAT_H */
+#	ifndef NO_VALUES_H
+#	    include <values.h>
+#	endif /* !NO_VALUES_H */
+#   endif /* !NO_FLOAT_H */
+#endif /* !TCL_GENERIC_ONLY */
+
+/*
+ * Prototypes for helper functions defined in this file:
+ */
+
+static Tcl_Obj *	CombineIntFloat(Tcl_Interp *interp, Tcl_Obj *valuePtr,
+			    int opcode, Tcl_Obj *value2Ptr);
+static Tcl_Obj *	CombineIntOnly(Tcl_Interp *interp, Tcl_Obj *valuePtr,
+			    int opcode, Tcl_Obj *value2Ptr);
+static int		CompareNumbers(Tcl_Interp *interp, Tcl_Obj *numObj1,
+			    Tcl_Obj *numObj2, int *resultPtr);
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * CombineIntFloat --
+ *
+ *	Parses and combines two numbers (either entier() or double())
+ *	according to the specified operation.
+ *
+ * Results:
+ * 	Returns the resulting number object (or NULL on failure).
+ *
+ * Side effects:
+ *	None.
+ *
+ * Notes:
+ *	This code originally extracted from tclExecute.c.
+ *
+ *----------------------------------------------------------------------
+ */
+
+static Tcl_Obj *
+CombineIntFloat(
+    Tcl_Interp *interp,		/* Place to write error messages. */
+    Tcl_Obj *valuePtr,		/* First value to combine. */
+    int opcode,			/* Operation to use to combine the
+				 * values. Must be one of INST_ADD, INST_SUB,
+				 * INST_MULT, INST_DIV or INST_EXPON. */
+    Tcl_Obj *value2Ptr)		/* Second value to combine. */
+{
+    ClientData ptr1, ptr2;
+    int type1, type2;
+    Tcl_Obj *errPtr;
+
+    if ((TclGetNumberFromObj(NULL, valuePtr, &ptr1, &type1) != TCL_OK)
+#ifndef ACCEPT_NAN
+	    || (type1 == TCL_NUMBER_NAN)
+#endif
+	    ) {
+	errPtr = valuePtr;
+	goto illegalOperand;
+    }
+
+#ifdef ACCEPT_NAN
+    if (type1 == TCL_NUMBER_NAN) {
+	/* NaN first argument -> result is also NaN */
+	NEXT_INST_F(1, 1, 0);
+    }
+#endif
+
+    if ((TclGetNumberFromObj(NULL, value2Ptr, &ptr2, &type2) != TCL_OK)
+#ifndef ACCEPT_NAN
+	    || (type2 == TCL_NUMBER_NAN)
+#endif
+	    ) {
+	errPtr = value2Ptr;
+	goto illegalOperand;
+    }
+
+#ifdef ACCEPT_NAN
+    if (type2 == TCL_NUMBER_NAN) {
+	/* NaN second argument -> result is also NaN */
+	return value2Ptr;
+	NEXT_INST_F(1, 2, 1);
+    }
+#endif
+
+    if ((type1 == TCL_NUMBER_DOUBLE) || (type2 == TCL_NUMBER_DOUBLE)) {
+	/*
+	 * At least one of the values is floating-point, so perform floating
+	 * point calculations.
+	 */
+
+	double d1, d2, dResult;
+	Tcl_GetDoubleFromObj(NULL, valuePtr, &d1);
+	Tcl_GetDoubleFromObj(NULL, value2Ptr, &d2);
+
+	switch (opcode) {
+	case INST_ADD:
+	    dResult = d1 + d2;
+	    break;
+	case INST_SUB:
+	    dResult = d1 - d2;
+	    break;
+	case INST_MULT:
+	    dResult = d1 * d2;
+	    break;
+	case INST_DIV:
+#ifndef IEEE_FLOATING_POINT
+	    if (d2 == 0.0) {
+		goto divideByZero;
+	    }
+#endif
+	    /*
+	     * We presume that we are running with zero-divide unmasked if
+	     * we're on an IEEE box. Otherwise, this statement might cause
+	     * demons to fly out our noses.
+	     */
+
+	    dResult = d1 / d2;
+	    break;
+	case INST_EXPON:
+	    if (d1==0.0 && d2<0.0) {
+		goto exponOfZero;
+	    }
+	    dResult = pow(d1, d2);
+	    break;
+	default:
+	    /* Unused, here to silence compiler warning. */
+	    dResult = 0;
+	}
+
+#ifndef ACCEPT_NAN
+	/*
+	 * Check now for IEEE floating-point error.
+	 */
+
+	if (TclIsNaN(dResult)) {
+	    TclExprFloatError(interp, dResult);
+	    return NULL;
+	}
+#endif
+	if (Tcl_IsShared(valuePtr)) {
+	    return Tcl_NewDoubleObj(dResult);
+	}
+	Tcl_SetDoubleObj(valuePtr, dResult);
+	return valuePtr;
+    }
+
+    if ((sizeof(long) >= 2*sizeof(int)) && (opcode == INST_MULT)
+	    && (type1 == TCL_NUMBER_LONG) && (type2 == TCL_NUMBER_LONG)) {
+	long l1 = *((CONST long *)ptr1);
+	long l2 = *((CONST long *)ptr2);
+	if ((l1 <= INT_MAX) && (l1 >= INT_MIN)
+		&& (l2 <= INT_MAX) && (l2 >= INT_MIN)) {
+	    long lResult = l1 * l2;
+
+	    if (Tcl_IsShared(valuePtr)) {
+		return Tcl_NewLongObj(lResult);
+	    }
+	    Tcl_SetLongObj(valuePtr, lResult);
+	    return valuePtr;
+	}
+    }
+
+    if ((sizeof(Tcl_WideInt) >= 2*sizeof(long)) && (opcode == INST_MULT)
+	    && (type1 == TCL_NUMBER_LONG) && (type2 == TCL_NUMBER_LONG)) {
+	Tcl_WideInt w1, w2, wResult;
+	Tcl_GetWideIntFromObj(NULL, valuePtr, &w1);
+	Tcl_GetWideIntFromObj(NULL, value2Ptr, &w2);
+
+	wResult = w1 * w2;
+
+	if (Tcl_IsShared(valuePtr)) {
+	    return Tcl_NewWideIntObj(wResult);
+	}
+	Tcl_SetWideIntObj(valuePtr, wResult);
+	return valuePtr;
+    }
+
+    /* TODO: Attempts to re-use unshared operands on stack */
+    if (opcode == INST_EXPON) {
+	long l1, l2 = 0;
+	int oddExponent = 0, negativeExponent = 0;
+	if (type2 == TCL_NUMBER_LONG) {
+	    l2 = *((CONST long *)ptr2);
+	    if (l2 == 0) {
+		/* Anything to the zero power is 1 */
+		return Tcl_NewIntObj(1);
+	    }
+	}
+	switch (type2) {
+	case TCL_NUMBER_LONG: {
+	    negativeExponent = (l2 < 0);
+	    oddExponent = (int) (l2 & 1);
+	    break;
+	}
+#ifndef NO_WIDE_TYPE
+	case TCL_NUMBER_WIDE: {
+	    Tcl_WideInt w2 = *((CONST Tcl_WideInt *)ptr2);
+	    negativeExponent = (w2 < 0);
+	    oddExponent = (int) (w2 & (Tcl_WideInt)1);
+	    break;
+	}
+#endif
+	case TCL_NUMBER_BIG: {
+	    mp_int big2;
+	    if (Tcl_IsShared(value2Ptr)) {
+		Tcl_GetBignumFromObj(NULL, value2Ptr, &big2);
+	    } else {
+		Tcl_GetBignumAndClearObj(NULL, value2Ptr, &big2);
+	    }
+	    negativeExponent = (mp_cmp_d(&big2, 0) == MP_LT);
+	    mp_mod_2d(&big2, 1, &big2);
+	    oddExponent = !mp_iszero(&big2);
+	    mp_clear(&big2);
+	    break;
+	}
+	}
+
+	if (negativeExponent) {
+	    if (type1 == TCL_NUMBER_LONG) {
+		l1 = *((CONST long *)ptr1);
+		switch (l1) {
+		case 0:
+		    /* zero to a negative power is div by zero error */
+		    goto exponOfZero;
+		case -1:
+		    if (oddExponent) {
+			return Tcl_NewIntObj(-1);
+		    } else {
+			return Tcl_NewIntObj(1);
+		    }
+		case 1:
+		    /* 1 to any power is 1 */
+		    return Tcl_NewIntObj(1);
+		}
+	    }
+	    /*
+	     * Integers with magnitude greater than 1 raise to a negative
+	     * power yield the answer zero (see TIP 123)
+	     */
+	    return Tcl_NewIntObj(0);
+	}
+
+	if (type1 == TCL_NUMBER_LONG) {
+	    l1 = *((CONST long *)ptr1);
+	    switch (l1) {
+	    case 0:
+		/* zero to a positive power is zero */
+		return Tcl_NewIntObj(0);
+	    case 1:
+		/* 1 to any power is 1 */
+		return Tcl_NewIntObj(1);
+	    case -1:
+		if (oddExponent) {
+		    return Tcl_NewIntObj(-1);
+		} else {
+		    return Tcl_NewIntObj(1);
+		}
+	    }
+	}
+	if (type2 == TCL_NUMBER_BIG) {
+	    Tcl_SetObjResult(interp,
+		    Tcl_NewStringObj("exponent too large", -1));
+	    return NULL;
+	}
+	/* TODO: Perform those computations that fit in native types */
+	goto overflow;
+    }
+
+    if ((opcode != INST_MULT)
+	    && (type1 != TCL_NUMBER_BIG) && (type2 != TCL_NUMBER_BIG)) {
+	Tcl_WideInt w1, w2, wResult;
+	Tcl_GetWideIntFromObj(NULL, valuePtr, &w1);
+	Tcl_GetWideIntFromObj(NULL, value2Ptr, &w2);
+
+	switch (opcode) {
+	case INST_ADD:
+	    wResult = w1 + w2;
+#ifndef NO_WIDE_TYPE
+	    if ((type1 == TCL_NUMBER_WIDE) || (type2 == TCL_NUMBER_WIDE))
+#endif
+	    {
+		/* Check for overflow */
+		if (((w1 < 0) && (w2 < 0) && (wResult > 0))
+			|| ((w1 > 0) && (w2 > 0) && (wResult < 0))) {
+		    goto overflow;
+		}
+	    }
+	    break;
+
+	case INST_SUB:
+	    wResult = w1 - w2;
+#ifndef NO_WIDE_TYPE
+	    if ((type1 == TCL_NUMBER_WIDE) || (type2 == TCL_NUMBER_WIDE))
+#endif
+	    {
+		/* Must check for overflow */
+		if (((w1 < 0) && (w2 > 0) && (wResult > 0))
+			|| ((w1 > 0) && (w2 < 0) && (wResult < 0))) {
+		    goto overflow;
+		}
+	    }
+	    break;
+
+	case INST_DIV:
+	    if (w2 == 0) {
+		goto divideByZero;
+	    }
+
+	    /* Need a bignum to represent (LLONG_MIN / -1) */
+	    if ((w1 == LLONG_MIN) && (w2 == -1)) {
+		goto overflow;
+	    }
+	    wResult = w1 / w2;
+
+	    /* Force Tcl's integer division rules */
+	    /* TODO: examine for logic simplification */
+	    if (((wResult < 0) || ((wResult == 0) &&
+		    ((w1 < 0 && w2 > 0) || (w1 > 0 && w2 < 0)))) &&
+		    ((wResult * w2) != w1)) {
+		wResult -= 1;
+	    }
+	    break;
+	default:
+	    /* Unused, here to silence compiler warning. */
+	    wResult = 0;
+	}
+
+	if (Tcl_IsShared(valuePtr)) {
+	    return Tcl_NewWideIntObj(wResult);
+	}
+	Tcl_SetWideIntObj(valuePtr, wResult);
+	return valuePtr;
+    }
+
+  overflow:
+    {
+	mp_int big1, big2, bigResult, bigRemainder;
+	if (Tcl_IsShared(valuePtr)) {
+	    Tcl_GetBignumFromObj(NULL, valuePtr, &big1);
+	} else {
+	    Tcl_GetBignumAndClearObj(NULL, valuePtr, &big1);
+	}
+	if (Tcl_IsShared(value2Ptr)) {
+	    Tcl_GetBignumFromObj(NULL, value2Ptr, &big2);
+	} else {
+	    Tcl_GetBignumAndClearObj(NULL, value2Ptr, &big2);
+	}
+	mp_init(&bigResult);
+	switch (opcode) {
+	case INST_ADD:
+	    mp_add(&big1, &big2, &bigResult);
+	    break;
+	case INST_SUB:
+	    mp_sub(&big1, &big2, &bigResult);
+	    break;
+	case INST_MULT:
+	    mp_mul(&big1, &big2, &bigResult);
+	    break;
+	case INST_DIV:
+	    if (mp_iszero(&big2)) {
+		mp_clear(&big1);
+		mp_clear(&big2);
+		goto divideByZero;
+	    }
+	    mp_init(&bigRemainder);
+	    mp_div(&big1, &big2, &bigResult, &bigRemainder);
+	    /* TODO: internals intrusion */
+	    if (!mp_iszero(&bigRemainder)
+		    && (bigRemainder.sign != big2.sign)) {
+		/* Convert to Tcl's integer division rules */
+		mp_sub_d(&bigResult, 1, &bigResult);
+		mp_add(&bigRemainder, &big2, &bigRemainder);
+	    }
+	    mp_clear(&bigRemainder);
+	    break;
+	case INST_EXPON:
+	    if (big2.used > 1) {
+		Tcl_SetObjResult(interp,
+			Tcl_NewStringObj("exponent too large", -1));
+		mp_clear(&big1);
+		mp_clear(&big2);
+		return NULL;
+	    }
+	    mp_expt_d(&big1, big2.dp[0], &bigResult);
+	    break;
+	}
+	mp_clear(&big1);
+	mp_clear(&big2);
+	if (Tcl_IsShared(valuePtr)) {
+	    return Tcl_NewBignumObj(&bigResult);
+	}
+	Tcl_SetBignumObj(valuePtr, &bigResult);
+	return valuePtr;
+    }
+
+    {
+	const char *description, *operator;
+
+    illegalOperand:
+	switch (opcode) {
+	case INST_ADD:	 operator = "+";  break;
+	case INST_SUB:	 operator = "-";  break;
+	case INST_MULT:	 operator = "*";  break;
+	case INST_DIV:	 operator = "/";  break;
+	case INST_EXPON: operator = "**"; break;
+	default:
+	    operator = "???";
+	}
+
+	if (TclGetNumberFromObj(NULL, errPtr, &ptr1, &type1) != TCL_OK) {
+	    int numBytes;
+	    CONST char *bytes = Tcl_GetStringFromObj(errPtr, &numBytes);
+	    if (numBytes == 0) {
+		description = "empty string";
+	    } else if (TclCheckBadOctal(NULL, bytes)) {
+		description = "invalid octal number";
+	    } else {
+		description = "non-numeric string";
+	    }
+	} else if (type1 == TCL_NUMBER_NAN) {
+	    description = "non-numeric floating-point value";
+	} else if (type1 == TCL_NUMBER_DOUBLE) {
+	    description = "floating-point value";
+	} else {
+	    /* TODO: No caller needs this.  Eliminate? */
+	    description = "(big) integer";
+	}
+
+	Tcl_SetObjResult(interp, Tcl_ObjPrintf(
+		"can't use %s as operand of \"%s\"", description, operator));
+	return NULL;
+    }
+
+  divideByZero:
+    Tcl_SetObjResult(interp, Tcl_NewStringObj("divide by zero", -1));
+    Tcl_SetErrorCode(interp, "ARITH", "DIVZERO", "divide by zero", NULL);
+    return NULL;
+
+  exponOfZero:
+    Tcl_SetObjResult(interp, Tcl_NewStringObj(
+	    "exponentiation of zero by negative power", -1));
+    Tcl_SetErrorCode(interp, "ARITH", "DOMAIN",
+	    "exponentiation of zero by negative power", NULL);
+    return NULL;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * CombineIntOnly --
+ *
+ *	Parses and combines two numbers (must be entier()) according to the
+ *	specified operation.
+ *
+ * Results:
+ * 	Returns the resulting number object (or NULL on failure).
+ *
+ * Side effects:
+ *	None.
+ *
+ * Notes:
+ *	This code originally extracted from tclExecute.c.
+ *
+ *----------------------------------------------------------------------
+ */
+
+static Tcl_Obj *
+CombineIntOnly(
+    Tcl_Interp *interp,		/* Place to write error messages. */
+    Tcl_Obj *valuePtr,		/* First value to combine. */
+    int opcode,			/* Operation to use to combine the
+				 * values. Must be one of INST_BITAND,
+				 * INST_BITOR or INST_BITXOR. */
+    Tcl_Obj *value2Ptr)		/* Second value to combine. */
+{
+    ClientData ptr1, ptr2;
+    int type1, type2;
+    Tcl_Obj *errPtr;
+
+    if ((TclGetNumberFromObj(NULL, valuePtr, &ptr1, &type1) != TCL_OK)
+	    || (type1 == TCL_NUMBER_NAN) || (type1 == TCL_NUMBER_DOUBLE)) {
+	errPtr = valuePtr;
+	goto illegalOperand;
+    }
+    if ((TclGetNumberFromObj(NULL, value2Ptr, &ptr2, &type2) != TCL_OK)
+	    || (type2 == TCL_NUMBER_NAN) || (type2 == TCL_NUMBER_DOUBLE)) {
+	errPtr = value2Ptr;
+	goto illegalOperand;
+    }
+
+    if ((type1 == TCL_NUMBER_BIG) || (type2 == TCL_NUMBER_BIG)) {
+	mp_int big1, big2, bigResult;
+	mp_int *First, *Second;
+	int numPos;
+
+	if (Tcl_IsShared(valuePtr)) {
+	    Tcl_GetBignumFromObj(NULL, valuePtr, &big1);
+	} else {
+	    Tcl_GetBignumAndClearObj(NULL, valuePtr, &big1);
+	}
+	if (Tcl_IsShared(value2Ptr)) {
+	    Tcl_GetBignumFromObj(NULL, value2Ptr, &big2);
+	} else {
+	    Tcl_GetBignumAndClearObj(NULL, value2Ptr, &big2);
+	}
+
+	/*
+	 * Count how many positive arguments we have. If only one of the
+	 * arguments is negative, store it in 'Second'.
+	 */
+
+	if (mp_cmp_d(&big1, 0) != MP_LT) {
+	    numPos = 1 + (mp_cmp_d(&big2, 0) != MP_LT);
+	    First  = &big1;
+	    Second = &big2;
+	} else {
+	    First  = &big2;
+	    Second = &big1;
+	    numPos = (mp_cmp_d(First, 0) != MP_LT);
+	}
+	mp_init(&bigResult);
+
+	switch (opcode) {
+	case INST_BITAND:
+	    switch (numPos) {
+	    case 2:
+		/* Both arguments positive, base case */
+		mp_and(First, Second, &bigResult);
+		break;
+	    case 1:
+		/* First is positive; Second negative
+		 * P & N = P & ~~N = P&~(-N-1) = P & (P ^ (-N-1)) */
+		mp_neg(Second, Second);
+		mp_sub_d(Second, 1, Second);
+		mp_xor(First, Second, &bigResult);
+		mp_and(First, &bigResult, &bigResult);
+		break;
+	    case 0:
+		/* Both arguments negative
+		 * a & b = ~ (~a | ~b) = -(-a-1|-b-1)-1 */
+		mp_neg(First, First);
+		mp_sub_d(First, 1, First);
+		mp_neg(Second, Second);
+		mp_sub_d(Second, 1, Second);
+		mp_or(First, Second, &bigResult);
+		mp_neg(&bigResult, &bigResult);
+		mp_sub_d(&bigResult, 1, &bigResult);
+		break;
+	    }
+	    break;
+
+	case INST_BITOR:
+	    switch (numPos) {
+	    case 2:
+		/* Both arguments positive, base case */
+		mp_or(First, Second, &bigResult);
+		break;
+	    case 1:
+		/* First is positive; Second negative
+		 * N|P = ~(~N&~P) = ~((-N-1)&~P) = -((-N-1)&((-N-1)^P))-1 */
+		mp_neg(Second, Second);
+		mp_sub_d(Second, 1, Second);
+		mp_xor(First, Second, &bigResult);
+		mp_and(Second, &bigResult, &bigResult);
+		mp_neg(&bigResult, &bigResult);
+		mp_sub_d(&bigResult, 1, &bigResult);
+		break;
+	    case 0:
+		/* Both arguments negative
+		 * a | b = ~ (~a & ~b) = -(-a-1&-b-1)-1 */
+		mp_neg(First, First);
+		mp_sub_d(First, 1, First);
+		mp_neg(Second, Second);
+		mp_sub_d(Second, 1, Second);
+		mp_and(First, Second, &bigResult);
+		mp_neg(&bigResult, &bigResult);
+		mp_sub_d(&bigResult, 1, &bigResult);
+		break;
+	    }
+	    break;
+
+	case INST_BITXOR:
+	    switch (numPos) {
+	    case 2:
+		/* Both arguments positive, base case */
+		mp_xor(First, Second, &bigResult);
+		break;
+	    case 1:
+		/* First is positive; Second negative
+		 * P^N = ~(P^~N) = -(P^(-N-1))-1 */
+		mp_neg(Second, Second);
+		mp_sub_d(Second, 1, Second);
+		mp_xor(First, Second, &bigResult);
+		mp_neg(&bigResult, &bigResult);
+		mp_sub_d(&bigResult, 1, &bigResult);
+		break;
+	    case 0:
+		/* Both arguments negative
+		 * a ^ b = (~a ^ ~b) = (-a-1^-b-1) */
+		mp_neg(First, First);
+		mp_sub_d(First, 1, First);
+		mp_neg(Second, Second);
+		mp_sub_d(Second, 1, Second);
+		mp_xor(First, Second, &bigResult);
+		break;
+	    }
+	    break;
+	}
+
+	mp_clear(&big1);
+	mp_clear(&big2);
+	if (Tcl_IsShared(valuePtr)) {
+	    return Tcl_NewBignumObj(&bigResult);
+	}
+	Tcl_SetBignumObj(valuePtr, &bigResult);
+	return valuePtr;
+    }
+#ifndef NO_WIDE_TYPE
+    else if ((type1 == TCL_NUMBER_WIDE) || (type2 == TCL_NUMBER_WIDE)) {
+	Tcl_WideInt wResult, w1, w2;
+	Tcl_GetWideIntFromObj(NULL, valuePtr, &w1);
+	Tcl_GetWideIntFromObj(NULL, value2Ptr, &w2);
+
+	switch (opcode) {
+	case INST_BITAND:
+	    wResult = w1 & w2;
+	    break;
+	case INST_BITOR:
+	    wResult = w1 | w2;
+	    break;
+	case INST_BITXOR:
+	    wResult = w1 ^ w2;
+	    break;
+	default:
+	    /* Unused, here to silence compiler warning. */
+	    wResult = 0;
+	}
+
+	if (Tcl_IsShared(valuePtr)) {
+	    return Tcl_NewWideIntObj(wResult);
+	}
+	Tcl_SetWideIntObj(valuePtr, wResult);
+	return valuePtr;
+    }
+#endif
+    else {
+	long lResult, l1 = *((const long *)ptr1);
+	long l2 = *((const long *)ptr2);
+
+	switch (opcode) {
+	case INST_BITAND:
+	    lResult = l1 & l2;
+	    break;
+	case INST_BITOR:
+	    lResult = l1 | l2;
+	    break;
+	case INST_BITXOR:
+	    lResult = l1 ^ l2;
+	    break;
+	default:
+	    /* Unused, here to silence compiler warning. */
+	    lResult = 0;
+	}
+
+	if (Tcl_IsShared(valuePtr)) {
+	    return Tcl_NewLongObj(lResult);
+	}
+	TclSetLongObj(valuePtr, lResult);
+	return valuePtr;
+    }
+
+    {
+	const char *description, *operator;
+
+    illegalOperand:
+	switch (opcode) {
+	case INST_BITAND: operator = "&";  break;
+	case INST_BITOR:  operator = "|";  break;
+	case INST_BITXOR: operator = "^";  break;
+	default:
+	    operator = "???";
+	}
+
+	if (TclGetNumberFromObj(NULL, errPtr, &ptr1, &type1) != TCL_OK) {
+	    int numBytes;
+	    CONST char *bytes = Tcl_GetStringFromObj(errPtr, &numBytes);
+	    if (numBytes == 0) {
+		description = "empty string";
+	    } else if (TclCheckBadOctal(NULL, bytes)) {
+		description = "invalid octal number";
+	    } else {
+		description = "non-numeric string";
+	    }
+	} else if (type1 == TCL_NUMBER_NAN) {
+	    description = "non-numeric floating-point value";
+	} else if (type1 == TCL_NUMBER_DOUBLE) {
+	    description = "floating-point value";
+	} else {
+	    /* TODO: No caller needs this.  Eliminate? */
+	    description = "(big) integer";
+	}
+
+	Tcl_SetObjResult(interp, Tcl_ObjPrintf(
+		"can't use %s as operand of \"%s\"", description, operator));
+	return NULL;
+    }
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * CompareNumbers --
+ *
+ *	Parses and compares two numbers (may be either entier() or double()).
+ *
+ * Results:
+ * 	TCL_OK if the numbers parse correctly, TCL_ERROR if one is not numeric
+ * 	at all, and TCL_BREAK if one or the other is "NaN". The resultPtr
+ * 	argument is used to update a variable with how the numbers relate to
+ * 	each other in the TCL_OK case.
+ *
+ * Side effects:
+ *	None.
+ *
+ * Notes:
+ *	This code originally extracted from tclExecute.c.
+ *
+ *----------------------------------------------------------------------
+ */
+
+static int
+CompareNumbers(
+    Tcl_Interp *interp,		/* Where to write error messages if any. */
+    Tcl_Obj *numObj1,		/* First number to compare. */
+    Tcl_Obj *numObj2,		/* Second number to compare. */
+    int *resultPtr)		/* Pointer to a variable to write the outcome
+				 * of the comparison into. Must not be
+				 * NULL. */
+{
+    ClientData ptr1, ptr2;
+    int type1, type2;
+    double d1, d2, tmp;
+    long l1, l2;
+    mp_int big1, big2;
+#ifndef NO_WIDE_TYPE
+    Tcl_WideInt w1, w2;
+#endif
+
+    if (TclGetNumberFromObj(interp, numObj1, &ptr1, &type1) != TCL_OK) {
+	return TCL_ERROR;
+    }
+    if (TclGetNumberFromObj(interp, numObj2, &ptr2, &type2) != TCL_OK) {
+	return TCL_ERROR;
+    }
+
+    /*
+     * Selected special cases. NaNs are not equal to *everything*, otherwise
+     * objects are equal to themselves.
+     */
+
+    if (type1 == TCL_NUMBER_NAN) {
+	/* NaN first arg: NaN != to everything, other compares are false */
+	return TCL_BREAK;
+    }
+    if (numObj1 == numObj2) {
+	*resultPtr = MP_EQ;
+	return TCL_OK;
+    }
+    if (type2 == TCL_NUMBER_NAN) {
+	/* NaN 2nd arg: NaN != to everything, other compares are false */
+	return TCL_BREAK;
+    }
+
+    /*
+     * Big switch to pick apart the type rules and choose how to compare the
+     * two numbers. Also handles a few special cases along the way.
+     */
+
+    switch (type1) {
+    case TCL_NUMBER_LONG:
+	l1 = *((CONST long *)ptr1);
+	switch (type2) {
+	case TCL_NUMBER_LONG:
+	    l2 = *((CONST long *)ptr2);
+	    goto longCompare;
+#ifndef NO_WIDE_TYPE
+	case TCL_NUMBER_WIDE:
+	    w2 = *((CONST Tcl_WideInt *)ptr2);
+	    w1 = (Tcl_WideInt)l1;
+	    goto wideCompare;
+#endif
+	case TCL_NUMBER_DOUBLE:
+	    d2 = *((CONST double *)ptr2);
+	    d1 = (double) l1;
+
+	    /*
+	     * If the double has a fractional part, or if the long can be
+	     * converted to double without loss of precision, then compare as
+	     * doubles.
+	     */
+
+	    if ((DBL_MANT_DIG > CHAR_BIT*sizeof(long))
+		    || (l1 == (long) d1) || (modf(d2, &tmp) != 0.0)) {
+		goto doubleCompare;
+	    }
+
+	    /*
+	     * Otherwise, to make comparision based on full precision, need to
+	     * convert the double to a suitably sized integer.
+	     *
+	     * Need this to get comparsions like
+	     *	    expr 20000000000000003 < 20000000000000004.0
+	     * right. Converting the first argument to double will yield two
+	     * double values that are equivalent within double precision.
+	     * Converting the double to an integer gets done exactly, then
+	     * integer comparison can tell the difference.
+	     */
+
+	    if (d2 < (double)LONG_MIN) {
+		*resultPtr = MP_GT;
+		return TCL_OK;
+	    }
+	    if (d2 > (double)LONG_MAX) {
+		*resultPtr = MP_LT;
+		return TCL_OK;
+	    }
+	    l2 = (long) d2;
+	    goto longCompare;
+	case TCL_NUMBER_BIG:
+	    if (Tcl_IsShared(numObj2)) {
+		Tcl_GetBignumFromObj(NULL, numObj2, &big2);
+	    } else {
+		Tcl_GetBignumAndClearObj(NULL, numObj2, &big2);
+	    }
+	    if (mp_cmp_d(&big2, 0) == MP_LT) {
+		*resultPtr = MP_GT;
+	    } else {
+		*resultPtr = MP_LT;
+	    }
+	    mp_clear(&big2);
+	}
+	return TCL_OK;
+
+#ifndef NO_WIDE_TYPE
+    case TCL_NUMBER_WIDE:
+	w1 = *((CONST Tcl_WideInt *)ptr1);
+	switch (type2) {
+	case TCL_NUMBER_WIDE:
+	    w2 = *((CONST Tcl_WideInt *)ptr2);
+	    goto wideCompare;
+	case TCL_NUMBER_LONG:
+	    l2 = *((CONST long *)ptr2);
+	    w2 = (Tcl_WideInt)l2;
+	    goto wideCompare;
+	case TCL_NUMBER_DOUBLE:
+	    d2 = *((CONST double *)ptr2);
+	    d1 = (double) w1;
+	    if ((DBL_MANT_DIG > CHAR_BIT*sizeof(Tcl_WideInt))
+		    || (w1 == (Tcl_WideInt) d1) || (modf(d2, &tmp) != 0.0)) {
+		goto doubleCompare;
+	    }
+	    if (d2 < (double)LLONG_MIN) {
+		*resultPtr = MP_GT;
+		return TCL_OK;
+	    }
+	    if (d2 > (double)LLONG_MAX) {
+		*resultPtr = MP_LT;
+		return TCL_OK;
+	    }
+	    w2 = (Tcl_WideInt) d2;
+	    goto wideCompare;
+	case TCL_NUMBER_BIG:
+	    if (Tcl_IsShared(numObj2)) {
+		Tcl_GetBignumFromObj(NULL, numObj2, &big2);
+	    } else {
+		Tcl_GetBignumAndClearObj(NULL, numObj2, &big2);
+	    }
+	    if (mp_cmp_d(&big2, 0) == MP_LT) {
+		*resultPtr = MP_GT;
+	    } else {
+		*resultPtr = MP_LT;
+	    }
+	    mp_clear(&big2);
+	}
+	return TCL_OK;
+#endif
+
+    case TCL_NUMBER_DOUBLE:
+	d1 = *((CONST double *)ptr1);
+	switch (type2) {
+	case TCL_NUMBER_DOUBLE:
+	    d2 = *((CONST double *)ptr2);
+	    goto doubleCompare;
+	case TCL_NUMBER_LONG:
+	    l2 = *((CONST long *)ptr2);
+	    d2 = (double) l2;
+
+	    if ((DBL_MANT_DIG > CHAR_BIT*sizeof(long))
+		    || (l2 == (long) d2) || (modf(d1, &tmp) != 0.0)) {
+		goto doubleCompare;
+	    }
+	    if (d1 < (double)LONG_MIN) {
+		*resultPtr = MP_LT;
+		return TCL_OK;
+	    }
+	    if (d1 > (double)LONG_MAX) {
+		*resultPtr = MP_GT;
+		return TCL_OK;
+	    }
+	    l1 = (long) d1;
+	    goto longCompare;
+#ifndef NO_WIDE_TYPE
+	case TCL_NUMBER_WIDE:
+	    w2 = *((CONST Tcl_WideInt *)ptr2);
+	    d2 = (double) w2;
+	    if ((DBL_MANT_DIG > CHAR_BIT*sizeof(Tcl_WideInt))
+		    || (w2 == (Tcl_WideInt) d2) || (modf(d1, &tmp) != 0.0)) {
+		goto doubleCompare;
+	    }
+	    if (d1 < (double)LLONG_MIN) {
+		*resultPtr = MP_LT;
+		return TCL_OK;
+	    }
+	    if (d1 > (double)LLONG_MAX) {
+		*resultPtr = MP_GT;
+		return TCL_OK;
+	    }
+	    w1 = (Tcl_WideInt) d1;
+	    goto wideCompare;
+#endif
+	case TCL_NUMBER_BIG:
+	    if (TclIsInfinite(d1)) {
+		*resultPtr = (d1 > 0.0) ? MP_GT : MP_LT;
+		return TCL_OK;
+	    }
+	    if (Tcl_IsShared(numObj2)) {
+		Tcl_GetBignumFromObj(NULL, numObj2, &big2);
+	    } else {
+		Tcl_GetBignumAndClearObj(NULL, numObj2, &big2);
+	    }
+	    if ((d1 < (double)LONG_MAX) && (d1 > (double)LONG_MIN)) {
+		if (mp_cmp_d(&big2, 0) == MP_LT) {
+		    *resultPtr = MP_GT;
+		} else {
+		    *resultPtr = MP_LT;
+		}
+		mp_clear(&big2);
+		return TCL_OK;
+	    }
+	    if ((DBL_MANT_DIG > CHAR_BIT*sizeof(long))
+		    && (modf(d1, &tmp) != 0.0)) {
+		d2 = TclBignumToDouble(&big2);
+		mp_clear(&big2);
+		goto doubleCompare;
+	    }
+	    Tcl_InitBignumFromDouble(NULL, d1, &big1);
+	    goto bigCompare;
+	}
+	return TCL_OK;
+
+    case TCL_NUMBER_BIG:
+	if (Tcl_IsShared(numObj1)) {
+	    Tcl_GetBignumFromObj(NULL, numObj1, &big1);
+	} else {
+	    Tcl_GetBignumAndClearObj(NULL, numObj1, &big1);
+	}
+	switch (type2) {
+#ifndef NO_WIDE_TYPE
+	case TCL_NUMBER_WIDE:
+#endif
+	case TCL_NUMBER_LONG:
+	    *resultPtr = mp_cmp_d(&big1, 0);
+	    mp_clear(&big1);
+	    return TCL_OK;
+	case TCL_NUMBER_DOUBLE:
+	    d2 = *((CONST double *)ptr2);
+	    if (TclIsInfinite(d2)) {
+		*resultPtr = (d2 > 0.0) ? MP_LT : MP_GT;
+		mp_clear(&big1);
+		return TCL_OK;
+	    }
+	    if ((d2 < (double)LONG_MAX) && (d2 > (double)LONG_MIN)) {
+		*resultPtr = mp_cmp_d(&big1, 0);
+		mp_clear(&big1);
+		return TCL_OK;
+	    }
+	    if ((DBL_MANT_DIG > CHAR_BIT*sizeof(long))
+		    && (modf(d2, &tmp) != 0.0)) {
+		d1 = TclBignumToDouble(&big1);
+		mp_clear(&big1);
+		goto doubleCompare;
+	    }
+	    Tcl_InitBignumFromDouble(NULL, d2, &big2);
+	    goto bigCompare;
+	case TCL_NUMBER_BIG:
+	    if (Tcl_IsShared(numObj2)) {
+		Tcl_GetBignumFromObj(NULL, numObj2, &big2);
+	    } else {
+		Tcl_GetBignumAndClearObj(NULL, numObj2, &big2);
+	    }
+	    goto bigCompare;
+	}
+    }
+
+    /*
+     * Should really be impossible to get here
+     */
+
+    return TCL_OK;
+
+    /*
+     * The real core comparison rules.
+     */
+
+  longCompare:
+    *resultPtr = (l1 < l2) ? MP_LT : ((l1 > l2) ? MP_GT : MP_EQ);
+    return TCL_OK;
+#ifndef NO_WIDE_TYPE
+  wideCompare:
+    *resultPtr = (w1 < w2) ? MP_LT : ((w1 > w2) ? MP_GT : MP_EQ);
+    return TCL_OK;
+#endif
+  doubleCompare:
+    *resultPtr = (d1 < d2) ? MP_LT : ((d1 > d2) ? MP_GT : MP_EQ);
+    return TCL_OK;
+  bigCompare:
+    *resultPtr = mp_cmp(&big1, &big2);
+    mp_clear(&big1);
+    mp_clear(&big2);
+    return TCL_OK;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclInvertOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::~" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclInvertOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    ClientData val;
+    int type;
+
+    if (objc != 2) {
+	Tcl_WrongNumArgs(interp, 1, objv, "number");
+	return TCL_ERROR;
+    }
+    if (TclGetNumberFromObj(interp, objv[1], &val, &type) != TCL_OK) {
+	return TCL_ERROR;
+    }
+    switch (type) {
+    case TCL_NUMBER_LONG: {
+	long l = *((const long *) val);
+
+	Tcl_SetLongObj(Tcl_GetObjResult(interp), ~l);
+	return TCL_OK;
+    }
+#ifndef NO_WIDE_TYPE
+    case TCL_NUMBER_WIDE: {
+	Tcl_WideInt w = *((const Tcl_WideInt *) val);
+
+	Tcl_SetWideIntObj(Tcl_GetObjResult(interp), ~w);
+	return TCL_OK;
+    }
+#endif
+    default: {
+	mp_int big;
+
+	if (Tcl_IsShared(objv[1])) {
+	    Tcl_GetBignumFromObj(NULL, objv[1], &big);
+	} else {
+	    Tcl_GetBignumAndClearObj(NULL, objv[1], &big);
+	}
+	/* ~a = - a - 1 */
+	mp_neg(&big, &big);
+	mp_sub_d(&big, 1, &big);
+	if (Tcl_IsShared(objv[1])) {
+	    Tcl_SetObjResult(interp, Tcl_NewBignumObj(&big));
+	} else {
+	    Tcl_SetBignumObj(objv[1], &big);
+	    Tcl_SetObjResult(interp, objv[1]);
+	}
+	return TCL_OK;
+    }
+    }
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclNotOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::!" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclNotOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    int b;
+
+    if (objc != 2) {
+	Tcl_WrongNumArgs(interp, 1, objv, "boolean");
+	return TCL_ERROR;
+    }
+    if (Tcl_GetBooleanFromObj(interp, objv[1], &b) != TCL_OK) {
+	return TCL_ERROR;
+    }
+    Tcl_SetBooleanObj(Tcl_GetObjResult(interp), !b);
+    return TCL_OK;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclAddOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::+" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclAddOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    if (objc < 2) {
+	Tcl_SetIntObj(Tcl_GetObjResult(interp), 0);
+	return TCL_OK;
+    } else if (objc == 2) {
+	Tcl_SetObjResult(interp, objv[1]);
+	return TCL_OK;
+    } else if (objc == 3) {
+	/*
+	 * This is a special case of the version with the loop that allows for
+	 * better memory management of objects in some cases.
+	 */
+
+	Tcl_Obj *resPtr = CombineIntFloat(interp, objv[1], INST_ADD, objv[2]);
+	if (resPtr == NULL) {
+	    return TCL_ERROR;
+	}
+	Tcl_SetObjResult(interp, resPtr);
+	return TCL_OK;
+    } else {
+	Tcl_Obj *sumPtr = objv[1];
+	int i;
+
+	Tcl_IncrRefCount(sumPtr);
+	for (i=2 ; i<objc ; i++) {
+	    Tcl_Obj *resPtr = CombineIntFloat(interp, sumPtr, INST_ADD,
+		    objv[i]);
+
+	    if (resPtr == NULL) {
+		TclDecrRefCount(sumPtr);
+		return TCL_ERROR;
+	    }
+	    Tcl_IncrRefCount(resPtr);
+	    TclDecrRefCount(sumPtr);
+	    sumPtr = resPtr;
+	}
+	Tcl_SetObjResult(interp, sumPtr);
+	Tcl_DecrRefCount(sumPtr);	/* Public form since we know we won't
+					 * be freeing this object now. */
+	return TCL_OK;
+    }
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclMulOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::*" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclMulOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    if (objc < 2) {
+	Tcl_SetIntObj(Tcl_GetObjResult(interp), 1);
+	return TCL_OK;
+    } else if (objc == 2) {
+	Tcl_SetObjResult(interp, objv[1]);
+	return TCL_OK;
+    } else if (objc == 3) {
+	/*
+	 * This is a special case of the version with the loop that allows for
+	 * better memory management of objects in some cases.
+	 */
+
+	Tcl_Obj *resPtr = CombineIntFloat(interp, objv[1],INST_MULT,objv[2]);
+	if (resPtr == NULL) {
+	    return TCL_ERROR;
+	}
+	Tcl_SetObjResult(interp, resPtr);
+	return TCL_OK;
+    } else {
+	Tcl_Obj *prodPtr = objv[1];
+	int i;
+
+	Tcl_IncrRefCount(prodPtr);
+	for (i=2 ; i<objc ; i++) {
+	    Tcl_Obj *resPtr = CombineIntFloat(interp, prodPtr, INST_MULT,
+		    objv[i]);
+
+	    if (resPtr == NULL) {
+		TclDecrRefCount(prodPtr);
+		return TCL_ERROR;
+	    }
+	    Tcl_IncrRefCount(resPtr);
+	    TclDecrRefCount(prodPtr);
+	    prodPtr = resPtr;
+	}
+	Tcl_SetObjResult(interp, prodPtr);
+	Tcl_DecrRefCount(prodPtr);	/* Public form since we know we won't
+					 * be freeing this object now. */
+	return TCL_OK;
+    }
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclAndOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::&" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclAndOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    if (objc < 2) {
+	Tcl_SetIntObj(Tcl_GetObjResult(interp), -1);
+	return TCL_OK;
+    } else if (objc == 2) {
+	Tcl_SetObjResult(interp, objv[1]);
+	return TCL_OK;
+    } else if (objc == 3) {
+	/*
+	 * This is a special case of the version with the loop that allows for
+	 * better memory management of objects in some cases.
+	 */
+
+	Tcl_Obj *resPtr = CombineIntOnly(interp, objv[1],INST_BITAND,objv[2]);
+	if (resPtr == NULL) {
+	    return TCL_ERROR;
+	}
+	Tcl_SetObjResult(interp, resPtr);
+	return TCL_OK;
+    } else {
+	Tcl_Obj *accumPtr = objv[1];
+	int i;
+
+	Tcl_IncrRefCount(accumPtr);
+	for (i=2 ; i<objc ; i++) {
+	    Tcl_Obj *resPtr = CombineIntOnly(interp, accumPtr, INST_BITAND,
+		    objv[i]);
+
+	    if (resPtr == NULL) {
+		TclDecrRefCount(accumPtr);
+		return TCL_ERROR;
+	    }
+	    Tcl_IncrRefCount(resPtr);
+	    TclDecrRefCount(accumPtr);
+	    accumPtr = resPtr;
+	}
+	Tcl_SetObjResult(interp, accumPtr);
+	Tcl_DecrRefCount(accumPtr);	/* Public form since we know we won't
+					 * be freeing this object now. */
+	return TCL_OK;
+    }
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclOrOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::|" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclOrOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    if (objc < 2) {
+	Tcl_SetIntObj(Tcl_GetObjResult(interp), 0);
+	return TCL_OK;
+    } else if (objc == 2) {
+	Tcl_SetObjResult(interp, objv[1]);
+	return TCL_OK;
+    } else if (objc == 3) {
+	/*
+	 * This is a special case of the version with the loop that allows for
+	 * better memory management of objects in some cases.
+	 */
+
+	Tcl_Obj *resPtr = CombineIntOnly(interp, objv[1],INST_BITOR,objv[2]);
+	if (resPtr == NULL) {
+	    return TCL_ERROR;
+	}
+	Tcl_SetObjResult(interp, resPtr);
+	return TCL_OK;
+    } else {
+	Tcl_Obj *accumPtr = objv[1];
+	int i;
+
+	Tcl_IncrRefCount(accumPtr);
+	for (i=2 ; i<objc ; i++) {
+	    Tcl_Obj *resPtr = CombineIntOnly(interp, accumPtr, INST_BITOR,
+		    objv[i]);
+
+	    if (resPtr == NULL) {
+		TclDecrRefCount(accumPtr);
+		return TCL_ERROR;
+	    }
+	    Tcl_IncrRefCount(resPtr);
+	    TclDecrRefCount(accumPtr);
+	    accumPtr = resPtr;
+	}
+	Tcl_SetObjResult(interp, accumPtr);
+	Tcl_DecrRefCount(accumPtr);	/* Public form since we know we won't
+					 * be freeing this object now. */
+	return TCL_OK;
+    }
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclXorOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::^" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclXorOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    if (objc < 2) {
+	Tcl_SetIntObj(Tcl_GetObjResult(interp), 0);
+	return TCL_OK;
+    } else if (objc == 2) {
+	Tcl_SetObjResult(interp, objv[1]);
+	return TCL_OK;
+    } else if (objc == 3) {
+	/*
+	 * This is a special case of the version with the loop that allows for
+	 * better memory management of objects in some cases.
+	 */
+
+	Tcl_Obj *resPtr = CombineIntOnly(interp, objv[1],INST_BITXOR,objv[2]);
+	if (resPtr == NULL) {
+	    return TCL_ERROR;
+	}
+	Tcl_SetObjResult(interp, resPtr);
+	return TCL_OK;
+    } else {
+	Tcl_Obj *accumPtr = objv[1];
+	int i;
+
+	Tcl_IncrRefCount(accumPtr);
+	for (i=2 ; i<objc ; i++) {
+	    Tcl_Obj *resPtr = CombineIntOnly(interp, accumPtr, INST_BITXOR,
+		    objv[i]);
+
+	    if (resPtr == NULL) {
+		TclDecrRefCount(accumPtr);
+		return TCL_ERROR;
+	    }
+	    Tcl_IncrRefCount(resPtr);
+	    TclDecrRefCount(accumPtr);
+	    accumPtr = resPtr;
+	}
+	Tcl_SetObjResult(interp, accumPtr);
+	Tcl_DecrRefCount(accumPtr);	/* Public form since we know we won't
+					 * be freeing this object now. */
+	return TCL_OK;
+    }
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclPowOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::**" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclPowOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    if (objc < 2) {
+	Tcl_SetIntObj(Tcl_GetObjResult(interp), 1);
+	return TCL_OK;
+    } else if (objc == 2) {
+	Tcl_SetObjResult(interp, objv[1]);
+	return TCL_OK;
+    } else if (objc == 3) {
+	/*
+	 * This is a special case of the version with the loop that allows for
+	 * better memory management of objects in some cases.
+	 */
+
+	Tcl_Obj *resPtr = CombineIntFloat(interp, objv[1],INST_EXPON,objv[2]);
+	if (resPtr == NULL) {
+	    return TCL_ERROR;
+	}
+	Tcl_SetObjResult(interp, resPtr);
+	return TCL_OK;
+    } else {
+	Tcl_Obj *powPtr = objv[objc-1];
+	int i;
+
+	Tcl_IncrRefCount(powPtr);
+	for (i=objc-2 ; i>=1 ; i--) {
+	    Tcl_Obj *resPtr = CombineIntFloat(interp, objv[i], INST_EXPON,
+		    powPtr);
+
+	    if (resPtr == NULL) {
+		TclDecrRefCount(powPtr);
+		return TCL_ERROR;
+	    }
+	    Tcl_IncrRefCount(resPtr);
+	    TclDecrRefCount(powPtr);
+	    powPtr = resPtr;
+	}
+	Tcl_SetObjResult(interp, powPtr);
+	Tcl_DecrRefCount(powPtr);	/* Public form since we know we won't
+					 * be freeing this object now. */
+	return TCL_OK;
+    }
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclMinusOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::-" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclMinusOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    if (objc < 2) {
+	Tcl_WrongNumArgs(interp, 1, objv, "value ?value ...?");
+	return TCL_ERROR;
+    } else if (objc == 2) {
+	/*
+	 * Only a single argument, so we compute the negation.
+	 */
+
+	Tcl_Obj *zeroPtr = Tcl_NewIntObj(0);
+	Tcl_Obj *resPtr;
+
+	Tcl_IncrRefCount(zeroPtr);
+	resPtr = CombineIntFloat(interp, zeroPtr, INST_SUB, objv[1]);
+	if (resPtr == NULL) {
+	    TclDecrRefCount(zeroPtr);
+	    return TCL_ERROR;
+	}
+	Tcl_SetObjResult(interp, resPtr);
+	TclDecrRefCount(zeroPtr);
+	return TCL_OK;
+    } else if (objc == 3) {
+	/*
+	 * This is a special case of the version with the loop that allows for
+	 * better memory management of objects in some cases.
+	 */
+
+	Tcl_Obj *resPtr = CombineIntFloat(interp, objv[1], INST_SUB, objv[2]);
+	if (resPtr == NULL) {
+	    return TCL_ERROR;
+	}
+	Tcl_SetObjResult(interp, resPtr);
+	return TCL_OK;
+    } else {
+	Tcl_Obj *diffPtr = objv[1];
+	int i;
+
+	Tcl_IncrRefCount(diffPtr);
+	for (i=2 ; i<objc ; i++) {
+	    Tcl_Obj *resPtr = CombineIntFloat(interp, diffPtr, INST_SUB,
+		    objv[i]);
+
+	    if (resPtr == NULL) {
+		TclDecrRefCount(diffPtr);
+		return TCL_ERROR;
+	    }
+	    Tcl_IncrRefCount(resPtr);
+	    TclDecrRefCount(diffPtr);
+	    diffPtr = resPtr;
+	}
+	Tcl_SetObjResult(interp, diffPtr);
+	Tcl_DecrRefCount(diffPtr);	/* Public form since we know we won't
+					 * be freeing this object now. */
+	return TCL_OK;
+    }
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclDivOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::/" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclDivOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    if (objc < 2) {
+	Tcl_WrongNumArgs(interp, 1, objv, "value ?value ...?");
+	return TCL_ERROR;
+    } else if (objc == 2) {
+	/*
+	 * Only a single argument, so we compute the reciprocal.
+	 */
+
+	Tcl_Obj *onePtr = Tcl_NewDoubleObj(1.0);
+	Tcl_Obj *resPtr;
+
+	Tcl_IncrRefCount(onePtr);
+	resPtr = CombineIntFloat(interp, onePtr, INST_DIV, objv[1]);
+	if (resPtr == NULL) {
+	    TclDecrRefCount(onePtr);
+	    return TCL_ERROR;
+	}
+	Tcl_SetObjResult(interp, resPtr);
+	TclDecrRefCount(onePtr);
+	return TCL_OK;
+    } else if (objc == 3) {
+	/*
+	 * This is a special case of the version with the loop that allows for
+	 * better memory management of objects in some cases.
+	 */
+
+	Tcl_Obj *resPtr = CombineIntFloat(interp, objv[1], INST_DIV, objv[2]);
+	if (resPtr == NULL) {
+	    return TCL_ERROR;
+	}
+	Tcl_SetObjResult(interp, resPtr);
+	return TCL_OK;
+    } else {
+	Tcl_Obj *numeratorPtr = objv[1];
+	int i;
+
+	Tcl_IncrRefCount(numeratorPtr);
+	for (i=2 ; i<objc ; i++) {
+	    Tcl_Obj *resPtr = CombineIntFloat(interp, numeratorPtr, INST_DIV,
+		    objv[i]);
+
+	    if (resPtr == NULL) {
+		TclDecrRefCount(numeratorPtr);
+		return TCL_ERROR;
+	    }
+	    Tcl_IncrRefCount(resPtr);
+	    TclDecrRefCount(numeratorPtr);
+	    numeratorPtr = resPtr;
+	}
+	Tcl_SetObjResult(interp, numeratorPtr);
+	Tcl_DecrRefCount(numeratorPtr);	/* Public form since we know we won't
+					 * be freeing this object now. */
+	return TCL_OK;
+    }
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclLshiftOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::<<" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclLshiftOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    ClientData ptr1, ptr2;
+    int invalid, shift, type1, type2, idx;
+    const char *description;
+    long l1;
+
+    if (objc != 3) {
+	Tcl_WrongNumArgs(interp, 1, objv, "value value");
+	return TCL_ERROR;
+    }
+
+    if ((TclGetNumberFromObj(NULL, objv[1], &ptr1, &type1) != TCL_OK)
+	    || (type1 == TCL_NUMBER_DOUBLE) || (type1 == TCL_NUMBER_NAN)) {
+	idx = 1;
+	goto illegalOperand;
+    }
+    if ((TclGetNumberFromObj(NULL, objv[2], &ptr2, &type2) != TCL_OK)
+	    || (type2 == TCL_NUMBER_DOUBLE) || (type2 == TCL_NUMBER_NAN)) {
+	idx = 2;
+	goto illegalOperand;
+    }
+
+    /* reject negative shift argument */
+    switch (type2) {
+    case TCL_NUMBER_LONG:
+	invalid = (*((const long *)ptr2) < (long)0);
+	break;
+#ifndef NO_WIDE_TYPE
+    case TCL_NUMBER_WIDE:
+	invalid = (*((const Tcl_WideInt *)ptr2) < (Tcl_WideInt)0);
+	break;
+#endif
+    case TCL_NUMBER_BIG:
+	/* TODO: const correctness ? */
+	invalid = (mp_cmp_d((mp_int *)ptr2, 0) == MP_LT);
+	break;
+    default:
+	/* Unused, here to silence compiler warning */
+	invalid = 0;
+    }
+    if (invalid) {
+	Tcl_SetObjResult(interp,
+		Tcl_NewStringObj("negative shift argument", -1));
+	return TCL_ERROR;
+    }
+
+    /* Zero shifted any number of bits is still zero */
+    if ((type1 == TCL_NUMBER_LONG) && (*((const long *)ptr1) == (long)0)) {
+	Tcl_SetObjResult(interp, Tcl_NewIntObj(0));
+	return TCL_OK;
+    }
+
+    /* Large left shifts create integer overflow */
+    if (Tcl_GetIntFromObj(NULL, objv[2], &shift) != TCL_OK) {
+	/*
+	 * Technically, we could hold the value (1 << (INT_MAX+1)) in an
+	 * mp_int, but since we're using mp_mul_2d() to do the work, and it
+	 * takes only an int argument, that's a good place to draw the line.
+	 */
+
+	Tcl_SetObjResult(interp, Tcl_NewStringObj(
+		"integer value too large to represent", -1));
+	return TCL_ERROR;
+    }
+
+    /* Handle shifts within the native long range */
+    if ((type1 == TCL_NUMBER_LONG) && ((size_t)shift < CHAR_BIT*sizeof(long))
+	    && (l1 = *((CONST long *)ptr1)) &&
+	    !(((l1>0) ? l1 : ~l1) & -(1L<<(CHAR_BIT*sizeof(long)-1-shift)))) {
+	Tcl_SetObjResult(interp, Tcl_NewLongObj(l1<<shift));
+	return TCL_OK;
+    }
+
+    /* Handle shifts within the native wide range */
+    if ((type1 != TCL_NUMBER_BIG)
+	    && ((size_t)shift < CHAR_BIT*sizeof(Tcl_WideInt))) {
+	Tcl_WideInt w;
+
+	Tcl_GetWideIntFromObj(NULL, objv[1], &w);
+	if (!(((w>0) ? w : ~w) & -(((Tcl_WideInt)1)
+		<< (CHAR_BIT*sizeof(Tcl_WideInt)-1-shift)))) {
+	    Tcl_SetObjResult(interp, Tcl_NewWideIntObj(w<<shift));
+	    return TCL_OK;
+	}
+    }
+
+    {
+	mp_int big, bigResult;
+
+	if (Tcl_IsShared(objv[1])) {
+	    Tcl_GetBignumFromObj(NULL, objv[1], &big);
+	} else {
+	    Tcl_GetBignumAndClearObj(NULL, objv[1], &big);
+	}
+
+	mp_init(&bigResult);
+	mp_mul_2d(&big, shift, &bigResult);
+	mp_clear(&big);
+
+	if (!Tcl_IsShared(objv[1])) {
+	    Tcl_SetBignumObj(objv[1], &bigResult);
+	    Tcl_SetObjResult(interp, objv[1]);
+	} else {
+	    Tcl_SetObjResult(interp, Tcl_NewBignumObj(&bigResult));
+	}
+    }
+    return TCL_OK;
+
+  illegalOperand:
+    if (TclGetNumberFromObj(NULL, objv[idx], &ptr1, &type1) != TCL_OK) {
+	int numBytes;
+	const char *bytes = Tcl_GetStringFromObj(objv[idx], &numBytes);
+	if (numBytes == 0) {
+	    description = "empty string";
+	} else if (TclCheckBadOctal(NULL, bytes)) {
+	    description = "invalid octal number";
+	} else {
+	    description = "non-numeric string";
+	}
+    } else if (type1 == TCL_NUMBER_NAN) {
+	description = "non-numeric floating-point value";
+    } else {
+	description = "floating-point value";
+    }
+
+    Tcl_SetObjResult(interp,
+	    Tcl_ObjPrintf("can't use %s as operand of \"<<\"", description));
+    return TCL_ERROR;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclRshiftOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::>>" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclRshiftOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    ClientData ptr1, ptr2;
+    int invalid, shift, type1, type2, idx;
+    const char *description;
+    long l1;
+
+    if (objc != 3) {
+	Tcl_WrongNumArgs(interp, 1, objv, "value value");
+	return TCL_ERROR;
+    }
+
+    if ((TclGetNumberFromObj(NULL, objv[1], &ptr1, &type1) != TCL_OK)
+	    || (type1 == TCL_NUMBER_DOUBLE) || (type1 == TCL_NUMBER_NAN)) {
+	idx = 1;
+	goto illegalOperand;
+    }
+    if ((TclGetNumberFromObj(NULL, objv[2], &ptr2, &type2) != TCL_OK)
+	    || (type2 == TCL_NUMBER_DOUBLE) || (type2 == TCL_NUMBER_NAN)) {
+	idx = 2;
+	goto illegalOperand;
+    }
+
+    /* reject negative shift argument */
+    switch (type2) {
+    case TCL_NUMBER_LONG:
+	invalid = (*((const long *)ptr2) < (long)0);
+	break;
+#ifndef NO_WIDE_TYPE
+    case TCL_NUMBER_WIDE:
+	invalid = (*((const Tcl_WideInt *)ptr2) < (Tcl_WideInt)0);
+	break;
+#endif
+    case TCL_NUMBER_BIG:
+	/* TODO: const correctness ? */
+	invalid = (mp_cmp_d((mp_int *)ptr2, 0) == MP_LT);
+	break;
+    default:
+	/* Unused, here to silence compiler warning */
+	invalid = 0;
+    }
+    if (invalid) {
+	Tcl_SetObjResult(interp,
+		Tcl_NewStringObj("negative shift argument", -1));
+	return TCL_ERROR;
+    }
+
+    /* Zero shifted any number of bits is still zero */
+    if ((type1 == TCL_NUMBER_LONG) && (*((const long *)ptr1) == (long)0)) {
+	Tcl_SetObjResult(interp, Tcl_NewIntObj(0));
+	return TCL_OK;
+    }
+
+    /* Quickly force large right shifts to 0 or -1 */
+    if ((type2 != TCL_NUMBER_LONG)
+	    || (*((const long *)ptr2) > INT_MAX)) {
+	/*
+	 * Again, technically, the value to be shifted could be an mp_int so
+	 * huge that a right shift by (INT_MAX+1) bits could not take us to
+	 * the result of 0 or -1, but since we're using mp_div_2d to do the
+	 * work, and it takes only an int argument, we draw the line there.
+	 */
+
+	int zero;
+
+	switch (type1) {
+	case TCL_NUMBER_LONG:
+	    zero = (*((const long *)ptr1) > (long)0);
+	    break;
+#ifndef NO_WIDE_TYPE
+	case TCL_NUMBER_WIDE:
+	    zero = (*((const Tcl_WideInt *)ptr1) > (Tcl_WideInt)0);
+	    break;
+#endif
+	case TCL_NUMBER_BIG:
+	    /* TODO: const correctness ? */
+	    zero = (mp_cmp_d((mp_int *)ptr1, 0) == MP_GT);
+	    break;
+	default:
+	    /* Unused, here to silence compiler warning. */
+	    zero = 0;
+	}
+	Tcl_SetObjResult(interp, Tcl_NewIntObj(zero ? 0 : -1));
+	return TCL_OK;
+    }
+
+    shift = (int)(*((const long *)ptr2));
+    /* Handle shifts within the native long range */
+    if (type1 == TCL_NUMBER_LONG) {
+	l1 = *((const long *)ptr1);
+	if ((size_t)shift >= CHAR_BIT*sizeof(long)) {
+	    Tcl_SetObjResult(interp, Tcl_NewIntObj(l1 >= (long)0 ? 0 : -1));
+	} else {
+	    Tcl_SetObjResult(interp, Tcl_NewIntObj(l1 >> shift));
+	}
+	return TCL_OK;
+    }
+
+#ifndef NO_WIDE_TYPE
+    /* Handle shifts within the native wide range */
+    if (type1 == TCL_NUMBER_WIDE) {
+	Tcl_WideInt w = *((const Tcl_WideInt *)ptr1);
+	if ((size_t)shift >= CHAR_BIT*sizeof(Tcl_WideInt)) {
+	    Tcl_SetObjResult(interp,
+		    Tcl_NewIntObj(w >= (Tcl_WideInt)0 ? 0 : -1));
+	} else {
+	    Tcl_SetObjResult(interp, Tcl_NewWideIntObj(w >> shift));
+	}
+	return TCL_OK;
+    }
+#endif
+
+    {
+	mp_int big, bigResult, bigRemainder;
+
+	if (Tcl_IsShared(objv[1])) {
+	    Tcl_GetBignumFromObj(NULL, objv[1], &big);
+	} else {
+	    Tcl_GetBignumAndClearObj(NULL, objv[1], &big);
+	}
+
+	mp_init(&bigResult);
+	mp_init(&bigRemainder);
+	mp_div_2d(&big, shift, &bigResult, &bigRemainder);
+	if (mp_cmp_d(&bigRemainder, 0) == MP_LT) {
+	    /* Convert to Tcl's integer division rules */
+	    mp_sub_d(&bigResult, 1, &bigResult);
+	}
+	mp_clear(&bigRemainder);
+	mp_clear(&big);
+
+	if (!Tcl_IsShared(objv[1])) {
+	    Tcl_SetBignumObj(objv[1], &bigResult);
+	    Tcl_SetObjResult(interp, objv[1]);
+	} else {
+	    Tcl_SetObjResult(interp, Tcl_NewBignumObj(&bigResult));
+	}
+    }
+    return TCL_OK;
+
+  illegalOperand:
+    if (TclGetNumberFromObj(NULL, objv[idx], &ptr1, &type1) != TCL_OK) {
+	int numBytes;
+	const char *bytes = Tcl_GetStringFromObj(objv[idx], &numBytes);
+	if (numBytes == 0) {
+	    description = "empty string";
+	} else if (TclCheckBadOctal(NULL, bytes)) {
+	    description = "invalid octal number";
+	} else {
+	    description = "non-numeric string";
+	}
+    } else if (type1 == TCL_NUMBER_NAN) {
+	description = "non-numeric floating-point value";
+    } else {
+	description = "floating-point value";
+    }
+
+    Tcl_SetObjResult(interp,
+	    Tcl_ObjPrintf("can't use %s as operand of \">>\"", description));
+    return TCL_ERROR;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclModOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::%" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclModOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    Tcl_Obj *argObj;
+    ClientData ptr1, ptr2;
+    int type1, type2;
+    long l1, l2 = 0;
+    const char *description;
+
+    if (objc != 3) {
+	Tcl_WrongNumArgs(interp, 1, objv, "value value");
+	return TCL_ERROR;
+    }
+
+    if ((TclGetNumberFromObj(NULL, objv[1], &ptr1, &type1) != TCL_OK)
+	    || (type1 == TCL_NUMBER_DOUBLE) || (type1 == TCL_NUMBER_NAN)) {
+	argObj = objv[1];
+	goto badArg;
+    }
+    if ((TclGetNumberFromObj(NULL, objv[2], &ptr2, &type2) != TCL_OK)
+	    || (type2 == TCL_NUMBER_DOUBLE) || (type2 == TCL_NUMBER_NAN)) {
+	argObj = objv[2];
+	goto badArg;
+    }
+
+    if (type2 == TCL_NUMBER_LONG) {
+	l2 = *((CONST long *)ptr2);
+	if (l2 == 0) {
+	    Tcl_SetObjResult(interp, Tcl_NewStringObj("divide by zero", -1));
+	    Tcl_SetErrorCode(interp, "ARITH", "DIVZERO", "divide by zero",
+		    NULL);
+	    return TCL_ERROR;
+	}
+	if ((l2 == 1) || (l2 == -1)) {
+	    Tcl_SetIntObj(Tcl_GetObjResult(interp), 0);
+	    return TCL_OK;
+	}
+    }
+    if (type1 == TCL_NUMBER_LONG) {
+	l1 = *((CONST long *)ptr1);
+	if (l1 == 0) {
+	    Tcl_SetIntObj(Tcl_GetObjResult(interp), 0);
+	    return TCL_OK;
+	}
+	if (type2 == TCL_NUMBER_LONG) {
+	    /* Both operands are long; do native calculation */
+	    long lRemainder, lQuotient = l1 / l2;
+
+	    /* Force Tcl's integer division rules */
+	    /* TODO: examine for logic simplification */
+	    if (((lQuotient < 0) || ((lQuotient == 0) &&
+		    ((l1 < 0 && l2 > 0) || (l1 > 0 && l2 < 0)))) &&
+		    ((lQuotient * l2) != l1)) {
+		lQuotient -= 1;
+	    }
+	    lRemainder = l1 - l2*lQuotient;
+	    Tcl_SetLongObj(Tcl_GetObjResult(interp), lRemainder);
+	    return TCL_OK;
+	}
+	/*
+	 * First operand fits in long; second does not, so the second has
+	 * greater magnitude than first. No need to divide to determine the
+	 * remainder.
+	 */
+#ifndef NO_WIDE_TYPE
+	if (type2 == TCL_NUMBER_WIDE) {
+	    Tcl_WideInt w2 = *((CONST Tcl_WideInt *)ptr2);
+
+	    if ((l1 > 0) ^ (w2 > (Tcl_WideInt)0)) {
+		/* Arguments are opposite sign; remainder is sum */
+		Tcl_SetObjResult(interp,
+			Tcl_NewWideIntObj(w2+(Tcl_WideInt)l1));
+		return TCL_OK;
+	    }
+	    /* Arguments are same sign; remainder is first operand */
+	    Tcl_SetObjResult(interp, objv[1]);
+	    return TCL_OK;
+	}
+#endif
+	{
+	    mp_int big2;
+	    if (Tcl_IsShared(objv[2])) {
+		Tcl_GetBignumFromObj(NULL, objv[2], &big2);
+	    } else {
+		Tcl_GetBignumAndClearObj(NULL, objv[2], &big2);
+	    }
+
+	    /* TODO: internals intrusion */
+	    if ((l1 > 0) ^ (big2.sign == MP_ZPOS)) {
+		/* Arguments are opposite sign; remainder is sum */
+		mp_int big1;
+		TclBNInitBignumFromLong(&big1, l1);
+		mp_add(&big2, &big1, &big2);
+		Tcl_SetObjResult(interp, Tcl_NewBignumObj(&big2));
+	    } else {
+		/* Arguments are same sign; remainder is first operand */
+		Tcl_SetObjResult(interp, objv[1]);
+		/* TODO: free big2? */
+	    }
+	}
+	return TCL_OK;
+    }
+#ifndef NO_WIDE_TYPE
+    if (type1 == TCL_NUMBER_WIDE) {
+	Tcl_WideInt w1 = *((CONST Tcl_WideInt *)ptr1);
+	if (type2 != TCL_NUMBER_BIG) {
+	    Tcl_WideInt w2, wQuotient, wRemainder;
+
+	    Tcl_GetWideIntFromObj(NULL, objv[2], &w2);
+	    wQuotient = w1 / w2;
+
+	    /* Force Tcl's integer division rules */
+	    /* TODO: examine for logic simplification */
+	    if (((wQuotient < ((Tcl_WideInt) 0))
+		    || ((wQuotient == ((Tcl_WideInt) 0)) && (
+			(w1 < ((Tcl_WideInt) 0) && w2 > ((Tcl_WideInt) 0))
+		    || (w1 > ((Tcl_WideInt) 0) && w2 < ((Tcl_WideInt) 0)))
+		    )) && ((wQuotient * w2) != w1)) {
+		wQuotient -= (Tcl_WideInt) 1;
+	    }
+	    wRemainder = w1 - w2*wQuotient;
+	    Tcl_SetObjResult(interp, Tcl_NewWideIntObj(wRemainder));
+	} else {
+	    mp_int big2;
+	    if (Tcl_IsShared(objv[2])) {
+		Tcl_GetBignumFromObj(NULL, objv[2], &big2);
+	    } else {
+		Tcl_GetBignumAndClearObj(NULL, objv[2], &big2);
+	    }
+
+	    /* TODO: internals intrusion */
+	    if ((w1 > ((Tcl_WideInt) 0)) ^ (big2.sign == MP_ZPOS)) {
+		/* Arguments are opposite sign; remainder is sum */
+		mp_int big1;
+		TclBNInitBignumFromWideInt(&big1, w1);
+		mp_add(&big2, &big1, &big2);
+		Tcl_SetObjResult(interp, Tcl_NewBignumObj(&big2));
+	    } else {
+		/* Arguments are same sign; remainder is first operand */
+		Tcl_SetObjResult(interp, objv[1]);
+	    }
+	}
+	return TCL_OK;
+    }
+#endif
+    {
+	mp_int big1, big2, bigResult, bigRemainder;
+
+	Tcl_GetBignumFromObj(NULL, objv[1], &big1);
+	Tcl_GetBignumFromObj(NULL, objv[2], &big2);
+	mp_init(&bigResult);
+	mp_init(&bigRemainder);
+	mp_div(&big1, &big2, &bigResult, &bigRemainder);
+	if (!mp_iszero(&bigRemainder) && (bigRemainder.sign != big2.sign)) {
+	    /* Convert to Tcl's integer division rules */
+	    mp_sub_d(&bigResult, 1, &bigResult);
+	    mp_add(&bigRemainder, &big2, &bigRemainder);
+	}
+	mp_copy(&bigRemainder, &bigResult);
+	mp_clear(&bigRemainder);
+	mp_clear(&big1);
+	mp_clear(&big2);
+	if (Tcl_IsShared(objv[1])) {
+	    Tcl_SetObjResult(interp, Tcl_NewBignumObj(&bigResult));
+	} else {
+	    Tcl_SetBignumObj(objv[1], &bigResult);
+	    Tcl_SetObjResult(interp, objv[1]);
+	}
+	return TCL_OK;
+    }
+
+  badArg:
+    if (TclGetNumberFromObj(NULL, argObj, &ptr1, &type1) != TCL_OK) {
+	int numBytes;
+	CONST char *bytes = Tcl_GetStringFromObj(argObj, &numBytes);
+	if (numBytes == 0) {
+	    description = "empty string";
+	} else if (TclCheckBadOctal(NULL, bytes)) {
+	    description = "invalid octal number";
+	} else {
+	    description = "non-numeric string";
+	}
+    } else if (type1 == TCL_NUMBER_NAN) {
+	description = "non-numeric floating-point value";
+    } else {
+	description = "floating-point value";
+    }
+
+    Tcl_SetObjResult(interp, Tcl_ObjPrintf(
+	    "can't use %s as operand of \"%%\"", description));
+    return TCL_ERROR;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclNeqOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::!=" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclNeqOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    int result = 1, cmp, len1, len2;
+    const char *str1, *str2;
+
+    if (objc != 3) {
+	Tcl_WrongNumArgs(interp, 1, objv, "value value");
+	return TCL_ERROR;
+    }
+
+    switch (CompareNumbers(NULL, objv[1], objv[2], &cmp)) {
+    case TCL_ERROR:
+	/*
+	 * Got a string
+	 */
+	str1 = Tcl_GetStringFromObj(objv[1], &len1);
+	str2 = Tcl_GetStringFromObj(objv[2], &len2);
+	if (len1 == len2 && !strcmp(str1, str2)) {
+	    result = 0;
+	}
+    case TCL_BREAK:			/* Deliberate fallthrough */
+	break;
+    case TCL_OK:
+	/*
+	 * Got proper numbers
+	 */
+	if (cmp != MP_EQ) {
+	    result = 0;
+	}
+    }
+    Tcl_SetBooleanObj(Tcl_GetObjResult(interp), result);
+    return TCL_OK;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclStrneqOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::ne" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclStrneqOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    const char *s1, *s2;
+    int s1len, s2len;
+
+    if (objc != 3) {
+	Tcl_WrongNumArgs(interp, 1, objv, "value value");
+	return TCL_ERROR;
+    }
+
+    s1 = Tcl_GetStringFromObj(objv[1], &s1len);
+    s2 = Tcl_GetStringFromObj(objv[2], &s2len);
+    if (s1len == s2len && !strcmp(s1, s2)) {
+	Tcl_SetBooleanObj(Tcl_GetObjResult(interp), 0);
+    } else {
+	Tcl_SetBooleanObj(Tcl_GetObjResult(interp), 1);
+    }
+    return TCL_OK;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclInOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::in" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclInOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    const char *s1, *s2;
+    int s1len, s2len, i, len;
+    Tcl_Obj **listObj;
+
+    if (objc != 3) {
+	Tcl_WrongNumArgs(interp, 1, objv, "value list");
+	return TCL_ERROR;
+    }
+
+    if (Tcl_ListObjGetElements(interp, objv[2], &len, &listObj) != TCL_OK) {
+	return TCL_ERROR;
+    }
+    s1 = Tcl_GetStringFromObj(objv[1], &s1len);
+    for (i=0 ; i<len ; i++) {
+	s2 = Tcl_GetStringFromObj(listObj[i], &s2len);
+	if (s1len == s2len && !strcmp(s1, s2)) {
+	    Tcl_SetBooleanObj(Tcl_GetObjResult(interp), 1);
+	    return TCL_OK;
+	}
+    }
+    Tcl_SetBooleanObj(Tcl_GetObjResult(interp), 0);
+    return TCL_OK;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclNiOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::ni" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclNiOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    const char *s1, *s2;
+    int s1len, s2len, i, len;
+    Tcl_Obj **listObj;
+
+    if (objc != 3) {
+	Tcl_WrongNumArgs(interp, 1, objv, "value list");
+	return TCL_ERROR;
+    }
+
+    if (Tcl_ListObjGetElements(interp, objv[2], &len, &listObj) != TCL_OK) {
+	return TCL_ERROR;
+    }
+    s1 = Tcl_GetStringFromObj(objv[1], &s1len);
+    for (i=0 ; i<len ; i++) {
+	s2 = Tcl_GetStringFromObj(listObj[i], &s2len);
+	if (s1len == s2len && !strcmp(s1, s2)) {
+	    Tcl_SetBooleanObj(Tcl_GetObjResult(interp), 0);
+	    return TCL_OK;
+	}
+    }
+    Tcl_SetBooleanObj(Tcl_GetObjResult(interp), 1);
+    return TCL_OK;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclLessOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::<" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclLessOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    int result = 1;
+
+    if (objc > 2) {
+	int i, cmp, len1, len2;
+	const char *str1, *str2;
+
+	for (i=1 ; i<objc-1 ; i++) {
+	    switch (CompareNumbers(NULL, objv[i], objv[i+1], &cmp)) {
+	    case TCL_ERROR:
+		/*
+		 * Got a string
+		 */
+		str1 = Tcl_GetStringFromObj(objv[i], &len1);
+		str2 = Tcl_GetStringFromObj(objv[i+1], &len2);
+		if (TclpUtfNcmp2(str1, str2,
+			(size_t) ((len1 < len2) ? len1 : len2)) >= 0) {
+		    result = 0;
+		    i = objc;
+		}
+		continue;
+	    case TCL_OK:
+		/*
+		 * Got proper numbers
+		 */
+		if (cmp != MP_LT) {
+		    result = 0;
+		    i = objc;
+		}
+		continue;
+	    case TCL_BREAK:
+		/*
+		 * Got a NaN (which is different from everything, including
+		 * itself)
+		 */
+		result = 0;
+		i = objc;
+		continue;
+	    }
+	}
+    }
+    Tcl_SetBooleanObj(Tcl_GetObjResult(interp), result);
+    return TCL_OK;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclLeqOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::<=" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclLeqOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    int result = 1;
+
+    if (objc > 2) {
+	int i, cmp, len1, len2;
+	const char *str1, *str2;
+
+	for (i=1 ; i<objc-1 ; i++) {
+	    switch (CompareNumbers(NULL, objv[i], objv[i+1], &cmp)) {
+	    case TCL_ERROR:
+		/*
+		 * Got a string
+		 */
+		str1 = Tcl_GetStringFromObj(objv[i], &len1);
+		str2 = Tcl_GetStringFromObj(objv[i+1], &len2);
+		if (TclpUtfNcmp2(str1, str2,
+			(size_t) ((len1 < len2) ? len1 : len2)) > 0) {
+		    result = 0;
+		    i = objc;
+		}
+		continue;
+	    case TCL_OK:
+		/*
+		 * Got proper numbers
+		 */
+		if (cmp == MP_GT) {
+		    result = 0;
+		    i = objc;
+		}
+		continue;
+	    case TCL_BREAK:
+		/*
+		 * Got a NaN (which is different from everything, including
+		 * itself)
+		 */
+		result = 0;
+		i = objc;
+		continue;
+	    }
+	}
+    }
+    Tcl_SetBooleanObj(Tcl_GetObjResult(interp), result);
+    return TCL_OK;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclGreaterOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::>" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclGreaterOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    int result = 1;
+
+    if (objc > 2) {
+	int i, cmp, len1, len2;
+	const char *str1, *str2;
+
+	for (i=1 ; i<objc-1 ; i++) {
+	    switch (CompareNumbers(NULL, objv[i], objv[i+1], &cmp)) {
+	    case TCL_ERROR:
+		/*
+		 * Got a string
+		 */
+		str1 = Tcl_GetStringFromObj(objv[i], &len1);
+		str2 = Tcl_GetStringFromObj(objv[i+1], &len2);
+		if (TclpUtfNcmp2(str1, str2,
+			(size_t) ((len1 < len2) ? len1 : len2)) <= 0) {
+		    result = 0;
+		    i = objc;
+		}
+		continue;
+	    case TCL_OK:
+		/*
+		 * Got proper numbers
+		 */
+		if (cmp != MP_GT) {
+		    result = 0;
+		    i = objc;
+		}
+		continue;
+	    case TCL_BREAK:
+		/*
+		 * Got a NaN (which is different from everything, including
+		 * itself)
+		 */
+		result = 0;
+		i = objc;
+		continue;
+	    }
+	}
+    }
+    Tcl_SetBooleanObj(Tcl_GetObjResult(interp), result);
+    return TCL_OK;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclGeqOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::>=" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclGeqOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    int result = 1;
+
+    if (objc > 2) {
+	int i, cmp, len1, len2;
+	const char *str1, *str2;
+
+	for (i=1 ; i<objc-1 ; i++) {
+	    switch (CompareNumbers(NULL, objv[i], objv[i+1], &cmp)) {
+	    case TCL_ERROR:
+		/*
+		 * Got a string
+		 */
+		str1 = Tcl_GetStringFromObj(objv[i], &len1);
+		str2 = Tcl_GetStringFromObj(objv[i+1], &len2);
+		if (TclpUtfNcmp2(str1, str2,
+			(size_t) ((len1 < len2) ? len1 : len2)) < 0) {
+		    result = 0;
+		    i = objc;
+		}
+		continue;
+	    case TCL_OK:
+		/*
+		 * Got proper numbers
+		 */
+		if (cmp == MP_LT) {
+		    result = 0;
+		    i = objc;
+		}
+		continue;
+	    case TCL_BREAK:
+		/*
+		 * Got a NaN (which is different from everything, including
+		 * itself)
+		 */
+		result = 0;
+		i = objc;
+		continue;
+	    }
+	}
+    }
+    Tcl_SetBooleanObj(Tcl_GetObjResult(interp), result);
+    return TCL_OK;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclEqOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::==" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclEqOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    int result = 1;
+
+    if (objc > 2) {
+	int i, cmp, len1, len2;
+	const char *str1, *str2;
+
+	for (i=1 ; i<objc-1 ; i++) {
+	    switch (CompareNumbers(NULL, objv[i], objv[i+1], &cmp)) {
+	    case TCL_ERROR:
+		/*
+		 * Got a string
+		 */
+		str1 = Tcl_GetStringFromObj(objv[i], &len1);
+		str2 = Tcl_GetStringFromObj(objv[i+1], &len2);
+		if (len1 != len2 || strcmp(str1, str2)) {
+		    result = 0;
+		    i = objc;
+		}
+		continue;
+	    case TCL_OK:
+		/*
+		 * Got proper numbers
+		 */
+		if (cmp != MP_EQ) {
+		    result = 0;
+		    i = objc;
+		}
+		continue;
+	    case TCL_BREAK:
+		/*
+		 * Got a NaN (which is different from everything, including
+		 * itself)
+		 */
+		result = 0;
+		i = objc;
+		continue;
+	    }
+	}
+    }
+    Tcl_SetBooleanObj(Tcl_GetObjResult(interp), result);
+    return TCL_OK;
+}
+
+/*
+ *----------------------------------------------------------------------
+ *
+ * TclStreqOpCmd --
+ *
+ *	This procedure is invoked to process the "::tcl::mathop::eq" Tcl
+ *	command. See the user documentation for details on what it does.
+ *
+ * Results:
+ *	A standard Tcl result.
+ *
+ * Side effects:
+ *	See the user documentation.
+ *
+ *----------------------------------------------------------------------
+ */
+
+int
+TclStreqOpCmd(
+    ClientData clientData,
+    Tcl_Interp *interp,
+    int objc,
+    Tcl_Obj *const objv[])
+{
+    int result = 1;
+
+    if (objc > 2) {
+	int i, len1, len2;
+	const char *str1, *str2;
+
+	for (i=1 ; i<objc-1 ; i++) {
+	    str1 = Tcl_GetStringFromObj(objv[i], &len1);
+	    str2 = Tcl_GetStringFromObj(objv[i+1], &len2);
+	    if (len1 != len2 || strcmp(str1, str2)) {
+		result = 0;
+		break;
+	    }
+	}
+    }
+    Tcl_SetBooleanObj(Tcl_GetObjResult(interp), result);
+    return TCL_OK;
+}
+
+/*
+ * Local Variables:
+ * mode: c
+ * c-basic-offset: 4
+ * fill-column: 78
+ * End:
+ */