Tcl Source Code

	     * deleted - We've already deleted a conflicting command
	     */
	    break;
        }

	/* An existing command conflicts. Try to delete it.. */
	cmdPtr = Tcl_GetHashValue(hPtr);
	
	/*
	 * Be careful to preserve
	 * any existing import links so we can restore them down below. That
	 * way, you can redefine a command and its import status will remain
	 * intact.
	 */

................................................................................
	    break;
        }

	/* An existing command conflicts. Try to delete it.. */
	cmdPtr = Tcl_GetHashValue(hPtr);

	/*
	 * [***] This is wrong.  See Tcl Bug a16752c252.  
	 * However, this buggy behavior is kept under particular
	 * circumstances to accommodate deployed binaries of the
	 * "tclcompiler" program. http://sourceforge.net/projects/tclpro/
	 * that crash if the bug is fixed.
	 */

	if (cmdPtr->objProc == TclInvokeStringCommand
................................................................................

	int nelements;
	Tcl_Obj **elements, *copyPtr = TclListObjCopy(NULL, objPtr);
	CmdFrame *eoFramePtr = (CmdFrame *)
		TclStackAlloc(interp, sizeof(CmdFrame));

	eoFramePtr->type = TCL_LOCATION_EVAL_LIST;
	eoFramePtr->level = (iPtr->cmdFramePtr == NULL?  1 
		: iPtr->cmdFramePtr->level + 1);
	eoFramePtr->framePtr = iPtr->framePtr;
	eoFramePtr->nextPtr = iPtr->cmdFramePtr;

	eoFramePtr->nline = 0;
	eoFramePtr->line = NULL;

................................................................................
	    }
	}
	break;
    case TCL_NUMBER_BIG:
	if (Tcl_GetBignumFromObj(interp, objv[1], &big) != TCL_OK) {
	    return TCL_ERROR;
	}
	if (SIGN(&big) == MP_NEG) {
	    mp_clear(&big);
	    goto negarg;
	}
	break;
    default:
	if (Tcl_GetWideIntFromObj(interp, objv[1], &w) != TCL_OK) {
	    return TCL_ERROR;
................................................................................
	}
	Tcl_SetObjResult(interp, Tcl_NewWideIntObj(-w));
	return TCL_OK;
    }
#endif

    if (type == TCL_NUMBER_BIG) {
	/* TODO: const correctness ? */
	if (mp_cmp_d((mp_int *) ptr, 0) == MP_LT) {
	    Tcl_GetBignumFromObj(NULL, objv[1], &big);
	tooLarge:
	    mp_neg(&big, &big);
	    Tcl_SetObjResult(interp, Tcl_NewBignumObj(&big));
	} else {
	unChanged:
	    Tcl_SetObjResult(interp, objv[1]);
................................................................................
	/*
	 * Truncate the bignum; keep only bits in long range.
	 */

	mp_int big;

	Tcl_GetBignumFromObj(NULL, objPtr, &big);
	mp_mod_2d(&big, (int) CHAR_BIT * sizeof(long), &big);
	objPtr = Tcl_NewBignumObj(&big);
	Tcl_IncrRefCount(objPtr);
	TclGetLongFromObj(NULL, objPtr, &iResult);
	Tcl_DecrRefCount(objPtr);
    }
    Tcl_SetObjResult(interp, Tcl_NewLongObj(iResult));
    return TCL_OK;
................................................................................
	/*
	 * Truncate the bignum; keep only bits in wide int range.
	 */

	mp_int big;

	Tcl_GetBignumFromObj(NULL, objPtr, &big);
	mp_mod_2d(&big, (int) CHAR_BIT * sizeof(Tcl_WideInt), &big);
	objPtr = Tcl_NewBignumObj(&big);
	Tcl_IncrRefCount(objPtr);
	Tcl_GetWideIntFromObj(NULL, objPtr, &wResult);
	Tcl_DecrRefCount(objPtr);
    }
    Tcl_SetObjResult(interp, Tcl_NewWideIntObj(wResult));
    return TCL_OK;
................................................................................
	mp_int big;

	if (Tcl_GetBignumFromObj(interp, objv[1], &big) != TCL_OK) {
	    /* TODO: more ::errorInfo here? or in caller? */
	    return TCL_ERROR;
	}

	mp_mod_2d(&big, (int) CHAR_BIT * sizeof(long), &big);
	objPtr = Tcl_NewBignumObj(&big);
	Tcl_IncrRefCount(objPtr);
	TclGetLongFromObj(NULL, objPtr, &i);
	Tcl_DecrRefCount(objPtr);
    }

    /*

	     * deleted - We've already deleted a conflicting command
	     */
	    break;
        }

	/* An existing command conflicts. Try to delete it.. */
	cmdPtr = Tcl_GetHashValue(hPtr);

	/*
	 * Be careful to preserve
	 * any existing import links so we can restore them down below. That
	 * way, you can redefine a command and its import status will remain
	 * intact.
	 */

................................................................................
	    break;
        }

	/* An existing command conflicts. Try to delete it.. */
	cmdPtr = Tcl_GetHashValue(hPtr);

	/*
	 * [***] This is wrong.  See Tcl Bug a16752c252.
	 * However, this buggy behavior is kept under particular
	 * circumstances to accommodate deployed binaries of the
	 * "tclcompiler" program. http://sourceforge.net/projects/tclpro/
	 * that crash if the bug is fixed.
	 */

	if (cmdPtr->objProc == TclInvokeStringCommand
................................................................................

	int nelements;
	Tcl_Obj **elements, *copyPtr = TclListObjCopy(NULL, objPtr);
	CmdFrame *eoFramePtr = (CmdFrame *)
		TclStackAlloc(interp, sizeof(CmdFrame));

	eoFramePtr->type = TCL_LOCATION_EVAL_LIST;
	eoFramePtr->level = (iPtr->cmdFramePtr == NULL?  1
		: iPtr->cmdFramePtr->level + 1);
	eoFramePtr->framePtr = iPtr->framePtr;
	eoFramePtr->nextPtr = iPtr->cmdFramePtr;

	eoFramePtr->nline = 0;
	eoFramePtr->line = NULL;

................................................................................
	    }
	}
	break;
    case TCL_NUMBER_BIG:
	if (Tcl_GetBignumFromObj(interp, objv[1], &big) != TCL_OK) {
	    return TCL_ERROR;
	}
	if (mp_isneg(&big)) {
	    mp_clear(&big);
	    goto negarg;
	}
	break;
    default:
	if (Tcl_GetWideIntFromObj(interp, objv[1], &w) != TCL_OK) {
	    return TCL_ERROR;
................................................................................
	}
	Tcl_SetObjResult(interp, Tcl_NewWideIntObj(-w));
	return TCL_OK;
    }
#endif

    if (type == TCL_NUMBER_BIG) {

	if (mp_cmp_d(ptr, 0) == MP_LT) {
	    Tcl_GetBignumFromObj(NULL, objv[1], &big);
	tooLarge:
	    mp_neg(&big, &big);
	    Tcl_SetObjResult(interp, Tcl_NewBignumObj(&big));
	} else {
	unChanged:
	    Tcl_SetObjResult(interp, objv[1]);
................................................................................
	/*
	 * Truncate the bignum; keep only bits in long range.
	 */

	mp_int big;

	Tcl_GetBignumFromObj(NULL, objPtr, &big);
	mp_mod_2d(&big, CHAR_BIT * sizeof(long), &big);
	objPtr = Tcl_NewBignumObj(&big);
	Tcl_IncrRefCount(objPtr);
	TclGetLongFromObj(NULL, objPtr, &iResult);
	Tcl_DecrRefCount(objPtr);
    }
    Tcl_SetObjResult(interp, Tcl_NewLongObj(iResult));
    return TCL_OK;
................................................................................
	/*
	 * Truncate the bignum; keep only bits in wide int range.
	 */

	mp_int big;

	Tcl_GetBignumFromObj(NULL, objPtr, &big);
	mp_mod_2d(&big, CHAR_BIT * sizeof(Tcl_WideInt), &big);
	objPtr = Tcl_NewBignumObj(&big);
	Tcl_IncrRefCount(objPtr);
	Tcl_GetWideIntFromObj(NULL, objPtr, &wResult);
	Tcl_DecrRefCount(objPtr);
    }
    Tcl_SetObjResult(interp, Tcl_NewWideIntObj(wResult));
    return TCL_OK;
................................................................................
	mp_int big;

	if (Tcl_GetBignumFromObj(interp, objv[1], &big) != TCL_OK) {
	    /* TODO: more ::errorInfo here? or in caller? */
	    return TCL_ERROR;
	}

	mp_mod_2d(&big, CHAR_BIT * sizeof(long), &big);
	objPtr = Tcl_NewBignumObj(&big);
	Tcl_IncrRefCount(objPtr);
	TclGetLongFromObj(NULL, objPtr, &i);
	Tcl_DecrRefCount(objPtr);
    }

    /*

 *  The object is shimmered to bytecode type.
 *
 *----------------------------------------------------------------------
 */

ByteCode *
TclCompileObj(
    Tcl_Interp *interp, 
    Tcl_Obj *objPtr,
    const CmdFrame *invoker,
    int word)
{
    register Interp *iPtr = (Interp *) interp;
    register ByteCode *codePtr;	/* Tcl Internal type of bytecode. */
    Namespace *namespacePtr = iPtr->varFramePtr->nsPtr;
................................................................................
		}
#endif
		{
		    mp_int big2;

		    Tcl_TakeBignumFromObj(NULL, value2Ptr, &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);
			mp_clear(&big1);
			objResultPtr = Tcl_NewBignumObj(&big2);
			TRACE(("%s\n", O2S(objResultPtr)));
			NEXT_INST_F(1, 2, 1);
		    }

		    /*
		     * Arguments are same sign; remainder is first operand.
		     */





		    mp_clear(&big2);

		    TRACE(("%s\n", O2S(valuePtr)));
		    NEXT_INST_F(1, 1, 0);
		}
	    }
#ifndef NO_WIDE_TYPE
	    if (type1 == TCL_NUMBER_WIDE) {
		Tcl_WideInt w1 = *((const Tcl_WideInt *)ptr1);

		if (type2 != TCL_NUMBER_BIG) {
................................................................................
		    NEXT_INST_F(1, 2, 1);
		}
		{
		    mp_int big2;
		    Tcl_TakeBignumFromObj(NULL, value2Ptr, &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);
			mp_clear(&big1);
			objResultPtr = Tcl_NewBignumObj(&big2);
			TRACE(("%s\n", O2S(objResultPtr)));
			NEXT_INST_F(1, 2, 1);
		    }

		    /*
		     * Arguments are same sign; remainder is first operand.
		     */

		    mp_clear(&big2);
		    TRACE(("%s\n", O2S(valuePtr)));
		    NEXT_INST_F(1, 1, 0);
		}
	    }
#endif
	    {
		mp_int big1, big2, bigResult, bigRemainder;

		Tcl_GetBignumFromObj(NULL, valuePtr, &big1);
		Tcl_GetBignumFromObj(NULL, value2Ptr, &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);
		}
................................................................................
	    DECACHE_STACK_INFO();
	    IllegalExprOperandType(interp, pc, value2Ptr);
	    CACHE_STACK_INFO();
	    goto checkForCatch;
	}

	if ((type1 == TCL_NUMBER_BIG) || (type2 == TCL_NUMBER_BIG)) {
	    mp_int big1, big2, bigResult, *First, *Second;
	    int numPos;

	    Tcl_TakeBignumFromObj(NULL, valuePtr, &big1);
	    Tcl_TakeBignumFromObj(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 (*pc) {
	    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);
	    TRACE(("%s %s => ", O2S(valuePtr), O2S(value2Ptr)));
	    if (Tcl_IsShared(valuePtr)) {
................................................................................
		    mp_clear(&big1);
		    mp_clear(&big2);
		    mp_clear(&bigResult);
		    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);
		}

 *  The object is shimmered to bytecode type.
 *
 *----------------------------------------------------------------------
 */

ByteCode *
TclCompileObj(
    Tcl_Interp *interp,
    Tcl_Obj *objPtr,
    const CmdFrame *invoker,
    int word)
{
    register Interp *iPtr = (Interp *) interp;
    register ByteCode *codePtr;	/* Tcl Internal type of bytecode. */
    Namespace *namespacePtr = iPtr->varFramePtr->nsPtr;
................................................................................
		}
#endif
		{
		    mp_int big2;

		    Tcl_TakeBignumFromObj(NULL, value2Ptr, &big2);


		    if ((l1 > 0) ^ mp_isneg(&big2)) {
			/*

			 * Arguments are same sign; remainder is first operand.
			 */





			mp_clear(&big2);

			TRACE(("%s\n", O2S(valuePtr)));
			NEXT_INST_F(1, 1, 0);
		    }

		    /*
		     * Arguments are opposite sign; remainder is sum.
		     */

		    mp_int big1;

		    TclBNInitBignumFromLong(&big1, l1);
		    mp_add(&big2, &big1, &big2);
		    mp_clear(&big1);
		    objResultPtr = Tcl_NewBignumObj(&big2);
		    TRACE(("%s\n", O2S(objResultPtr)));
		    NEXT_INST_F(1, 2, 1);
		}
	    }
#ifndef NO_WIDE_TYPE
	    if (type1 == TCL_NUMBER_WIDE) {
		Tcl_WideInt w1 = *((const Tcl_WideInt *)ptr1);

		if (type2 != TCL_NUMBER_BIG) {
................................................................................
		    NEXT_INST_F(1, 2, 1);
		}
		{
		    mp_int big2;
		    Tcl_TakeBignumFromObj(NULL, value2Ptr, &big2);

		    /* TODO: internals intrusion */
		    if ((w1 > ((Tcl_WideInt) 0)) ^ mp_isneg(&big2)) {
			/*
			 * Arguments are same sign; remainder is first operand.
			 */

			mp_clear(&big2);
			TRACE(("%s\n", O2S(valuePtr)));
			NEXT_INST_F(1, 1, 0);
		    }
		    /*
		     * Arguments are opposite sign; remainder is sum.
		     */

		    mp_int big1;

		    TclBNInitBignumFromWideInt(&big1, w1);
		    mp_add(&big2, &big1, &big2);
		    mp_clear(&big1);
		    objResultPtr = Tcl_NewBignumObj(&big2);
		    TRACE(("%s\n", O2S(objResultPtr)));
		    NEXT_INST_F(1, 2, 1);









		}
	    }
#endif
	    {
		mp_int big1, big2, bigResult, bigRemainder;

		Tcl_GetBignumFromObj(NULL, valuePtr, &big1);
		Tcl_GetBignumFromObj(NULL, value2Ptr, &big2);
		mp_init(&bigResult);
		mp_init(&bigRemainder);
		mp_div(&big1, &big2, &bigResult, &bigRemainder);
		if (!mp_iszero(&bigRemainder)
			&& (mp_isneg(&bigRemainder) != mp_isneg(&big2))) {
		    /*
		     * Convert to Tcl's integer division rules.
		     */

		    mp_sub_d(&bigResult, 1, &bigResult);
		    mp_add(&bigRemainder, &big2, &bigRemainder);
		}
................................................................................
	    DECACHE_STACK_INFO();
	    IllegalExprOperandType(interp, pc, value2Ptr);
	    CACHE_STACK_INFO();
	    goto checkForCatch;
	}

	if ((type1 == TCL_NUMBER_BIG) || (type2 == TCL_NUMBER_BIG)) {
	    mp_int big1, big2, bigResult;


	    Tcl_TakeBignumFromObj(NULL, valuePtr, &big1);
	    Tcl_TakeBignumFromObj(NULL, value2Ptr, &big2);















	    mp_init(&bigResult);

	    switch (*pc) {
	    case INST_BITAND:






























		mp_and(&big1, &big2, &bigResult);

		break;



	    case INST_BITOR:


















		mp_or(&big1, &big2, &bigResult);

		break;

















	    case INST_BITXOR:

















		mp_xor(&big1, &big2, &bigResult);















		break;
	    }

	    mp_clear(&big1);
	    mp_clear(&big2);
	    TRACE(("%s %s => ", O2S(valuePtr), O2S(value2Ptr)));
	    if (Tcl_IsShared(valuePtr)) {
................................................................................
		    mp_clear(&big1);
		    mp_clear(&big2);
		    mp_clear(&bigResult);
		    goto divideByZero;
		}
		mp_init(&bigRemainder);
		mp_div(&big1, &big2, &bigResult, &bigRemainder);

		if (!mp_iszero(&bigRemainder)

			&& (mp_isneg(&bigRemainder) != mp_isneg(&big2))) {
		    /*
		     * Convert to Tcl's integer division rules.
		     */

		    mp_sub_d(&bigResult, 1, &bigResult);
		    mp_add(&bigRemainder, &big2, &bigRemainder);
		}

	(objPtr)->internalRep.ptrAndLongRep.ptr = (void*) temp; \
	(objPtr)->internalRep.ptrAndLongRep.value = (unsigned long)(-1); \
    } else { \
	if ((bignum).alloc > 0x7fff) { \
	    mp_shrink(&(bignum)); \
	} \
	(objPtr)->internalRep.ptrAndLongRep.ptr = (void*) (bignum).dp; \
	(objPtr)->internalRep.ptrAndLongRep.value = ( ((bignum).sign << 30) \
		| ((bignum).alloc << 15) | ((bignum).used)); \
    }

#define UNPACK_BIGNUM(objPtr, bignum) \
    if ((objPtr)->internalRep.ptrAndLongRep.value == (unsigned long)(-1)) { \
	(bignum) = *((mp_int *) ((objPtr)->internalRep.ptrAndLongRep.ptr)); \
    } else { \
................................................................................
		unsigned long value = 0, numBytes = sizeof(long);
		long scratch;
		unsigned char *bytes = (unsigned char *)&scratch;
		if (mp_to_unsigned_bin_n(&big, bytes, &numBytes) == MP_OKAY) {
		    while (numBytes-- > 0) {
			value = (value << CHAR_BIT) | *bytes++;
		    }
		    if (big.sign) {
			*longPtr = - (long) value;
		    } else {
			*longPtr = (long) value;
		    }
		    return TCL_OK;
		}
	    }
................................................................................
		Tcl_WideInt scratch;
		unsigned char *bytes = (unsigned char *) &scratch;

		if (mp_to_unsigned_bin_n(&big, bytes, &numBytes) == MP_OKAY) {
		    while (numBytes-- > 0) {
			value = (value << CHAR_BIT) | *bytes++;
		    }
		    if (big.sign) {
			*wideIntPtr = - (Tcl_WideInt) value;
		    } else {
			*wideIntPtr = (Tcl_WideInt) value;
		    }
		    return TCL_OK;
		}
	    }
................................................................................
	unsigned char *bytes = (unsigned char *)&scratch;
	if (mp_to_unsigned_bin_n(bignumValue, bytes, &numBytes) != MP_OKAY) {
	    goto tooLargeForLong;
	}
	while (numBytes-- > 0) {
	    value = (value << CHAR_BIT) | *bytes++;
	}
	if (value > (((~(unsigned long)0) >> 1) + bignumValue->sign)) {
	    goto tooLargeForLong;
	}
	if (bignumValue->sign) {
	    TclSetLongObj(objPtr, -(long)value);
	} else {
	    TclSetLongObj(objPtr, (long)value);
	}
	mp_clear(bignumValue);
	return;
    }
................................................................................
	unsigned char *bytes = (unsigned char *)&scratch;
	if (mp_to_unsigned_bin_n(bignumValue, bytes, &numBytes) != MP_OKAY) {
	    goto tooLargeForWide;
	}
	while (numBytes-- > 0) {
	    value = (value << CHAR_BIT) | *bytes++;
	}
	if (value > (((~(Tcl_WideUInt)0) >> 1) + bignumValue->sign)) {
	    goto tooLargeForWide;
	}
	if (bignumValue->sign) {
	    TclSetWideIntObj(objPtr, -(Tcl_WideInt)value);
	} else {
	    TclSetWideIntObj(objPtr, (Tcl_WideInt)value);
	}
	mp_clear(bignumValue);
	return;
    }

	(objPtr)->internalRep.ptrAndLongRep.ptr = (void*) temp; \
	(objPtr)->internalRep.ptrAndLongRep.value = (unsigned long)(-1); \
    } else { \
	if ((bignum).alloc > 0x7fff) { \
	    mp_shrink(&(bignum)); \
	} \
	(objPtr)->internalRep.ptrAndLongRep.ptr = (void*) (bignum).dp; \
	(objPtr)->internalRep.ptrAndLongRep.value = ( (mp_isneg(&bignum) << 30) \
		| ((bignum).alloc << 15) | ((bignum).used)); \
    }

#define UNPACK_BIGNUM(objPtr, bignum) \
    if ((objPtr)->internalRep.ptrAndLongRep.value == (unsigned long)(-1)) { \
	(bignum) = *((mp_int *) ((objPtr)->internalRep.ptrAndLongRep.ptr)); \
    } else { \
................................................................................
		unsigned long value = 0, numBytes = sizeof(long);
		long scratch;
		unsigned char *bytes = (unsigned char *)&scratch;
		if (mp_to_unsigned_bin_n(&big, bytes, &numBytes) == MP_OKAY) {
		    while (numBytes-- > 0) {
			value = (value << CHAR_BIT) | *bytes++;
		    }
		    if (mp_isneg(&big)) {
			*longPtr = - (long) value;
		    } else {
			*longPtr = (long) value;
		    }
		    return TCL_OK;
		}
	    }
................................................................................
		Tcl_WideInt scratch;
		unsigned char *bytes = (unsigned char *) &scratch;

		if (mp_to_unsigned_bin_n(&big, bytes, &numBytes) == MP_OKAY) {
		    while (numBytes-- > 0) {
			value = (value << CHAR_BIT) | *bytes++;
		    }
		    if (mp_isneg(&big)) {
			*wideIntPtr = - (Tcl_WideInt) value;
		    } else {
			*wideIntPtr = (Tcl_WideInt) value;
		    }
		    return TCL_OK;
		}
	    }
................................................................................
	unsigned char *bytes = (unsigned char *)&scratch;
	if (mp_to_unsigned_bin_n(bignumValue, bytes, &numBytes) != MP_OKAY) {
	    goto tooLargeForLong;
	}
	while (numBytes-- > 0) {
	    value = (value << CHAR_BIT) | *bytes++;
	}
	if (value > (((~(unsigned long)0) >> 1) + mp_isneg(bignumValue))) {
	    goto tooLargeForLong;
	}
	if (mp_isneg(bignumValue)) {
	    TclSetLongObj(objPtr, -(long)value);
	} else {
	    TclSetLongObj(objPtr, (long)value);
	}
	mp_clear(bignumValue);
	return;
    }
................................................................................
	unsigned char *bytes = (unsigned char *)&scratch;
	if (mp_to_unsigned_bin_n(bignumValue, bytes, &numBytes) != MP_OKAY) {
	    goto tooLargeForWide;
	}
	while (numBytes-- > 0) {
	    value = (value << CHAR_BIT) | *bytes++;
	}
	if (value > (((~(Tcl_WideUInt)0) >> 1) + mp_isneg(bignumValue))) {
	    goto tooLargeForWide;
	}
	if (mp_isneg(bignumValue)) {
	    TclSetWideIntObj(objPtr, -(Tcl_WideInt)value);
	} else {
	    TclSetWideIntObj(objPtr, (Tcl_WideInt)value);
	}
	mp_clear(bignumValue);
	return;
    }

				/* floor(FP_PRECISION*log(2)/log(5)) */
#define QUICK_MAX		14
				/* floor((FP_PRECISION-1)*log(2)/log(10)) - 1 */
#define BLETCH			0x10
				/* Highest power of two that is greater than
				 * DBL_MAX_10_EXP, divided by 16 */
#define DIGIT_GROUP		8
				/* floor(DIGIT_BIT*log(2)/log(10)) */

/* Union used to dismantle floating point numbers. */

typedef union Double {
    struct {
#ifdef WORDS_BIGENDIAN
	int word0;
................................................................................
		bignumRepPtr);
	mp_add_d(bignumRepPtr, (mp_digit) digit, bignumRepPtr);
    } else {
	/*
	 * More than single digit multiplication. Multiply by the appropriate
	 * small powers of 5, and then shift. Large strings of zeroes are
	 * eaten 256 at a time; this is less efficient than it could be, but
	 * seems implausible. We presume that DIGIT_BIT is at least 27. The
	 * first multiplication, by up to 10**7, is done with a one-DIGIT
	 * multiply (this presumes that DIGIT_BIT >= 24).
	 */

	n = numZeros + 1;
	mp_mul_d(bignumRepPtr, (mp_digit) pow10_wide[n&0x7], bignumRepPtr);
	for (i=3; i<=7; ++i) {
	    if (n & (1 << i)) {
		mp_mul(bignumRepPtr, pow5+i, bignumRepPtr);
................................................................................
/*
 *-----------------------------------------------------------------------------
 *
 * ShouldBankerRoundUpPowD --
 *
 *	Test whether bankers' rounding should round a digit up. Assumption
 *	is made that the denominator of the fraction being tested is
 *	a power of 2**DIGIT_BIT.
 *
 * Results:
 *	Returns 1 iff the fraction is more than 1/2, or if the fraction
 *	is exactly 1/2 and the digit is odd.
 *
 *-----------------------------------------------------------------------------
 */

inline static int
ShouldBankerRoundUpPowD(mp_int* b,
				/* Numerator of the fraction */
			int sd,	/* Denominator is 2**(sd*DIGIT_BIT) */
			int isodd)
				/* 1 if the digit is odd, 0 if even */
{
    int i;
    static const mp_digit topbit = (1<<(MP_DIGIT_BIT-1));
    if (b->used < sd || (b->dp[sd-1] & topbit) == 0) {
	return 0;
................................................................................

inline static int
ShouldBankerRoundUpToNextPowD(mp_int* b,
				/* Numerator of the fraction */
			      mp_int* m,
				/* Numerator of the rounding tolerance */
			      int sd,
				/* Common denominator is 2**(sd*DIGIT_BIT) */
			      int convType,
				/* Conversion type: STEELE defeats
				 * round-to-even (Not sure why one wants to
				 * do this; I copied it from Gay) FIXME */
			      int isodd,
				/* 1 if the integer significand is odd */
			      mp_int* temp)
................................................................................
				/* Work area for the calculation */
{
    int i;

    /*
     * Compare B and S-m -- which is the same as comparing B+m and S --
     * which we do by computing b+m and doing a bitwhack compare against
     * 2**(DIGIT_BIT*sd)
     */
    mp_add(b, m, temp);
    if (temp->used <= sd) {	/* too few digits to be > S */
	return 0;
    }
    if (temp->used > sd+1 || temp->dp[sd] > 1) {
				/* >= 2s */
................................................................................
 *
 * ShorteningBignumConversionPowD --
 *
 *	Converts a double-precision number to the shortest string of
 *	digits that reconverts exactly to the given number, or to
 *	'ilim' digits if that will yield a shorter result. The denominator
 *	in David Gay's conversion algorithm is known to be a power of
 *	2**DIGIT_BIT, and hence the division in the main loop may be replaced
 *	by a digit shift and mask.
 *
 * Results:
 *	Returns the string of significant decimal digits, in newly
 *	allocated memory
 *
 * Side effects:
................................................................................
    MulPow5(&mminus, m5, &mminus);
    if (m2plus > m2minus) {
	mp_init_copy(&mplus, &mminus);
	mp_mul_2d(&mplus, m2plus-m2minus, &mplus);
    }
    mp_init(&temp);

    /* Loop through the digits. Do division and mod by s == 2**(sd*DIGIT_BIT)
     * by mp_digit extraction */

    i = 0;
    for (;;) {
	if (b.used <= sd) {
	    digit = 0;
	} else {
................................................................................
 *-----------------------------------------------------------------------------
 *
 * StrictBignumConversionPowD --
 *
 *	Converts a double-precision number to a fixed-lengt string of
 *	'ilim' digits (or 'ilim1' if log10(d) has been overestimated.)
 *	The denominator in David Gay's conversion algorithm is known to
 *	be a power of 2**DIGIT_BIT, and hence the division in the main
 *	loop may be replaced by a digit shift and mask.
 *
 * Results:
 *	Returns the string of significant decimal digits, in newly
 *	allocated memory.
 *
 * Side effects:
................................................................................
	mp_mul_d(&b, 10, &b);
	ilim = ilim1;
	--k;
    }
    mp_init(&temp);

    /*
     * Loop through the digits. Do division and mod by s == 2**(sd*DIGIT_BIT)
     * by mp_digit extraction
     */

    i = 1;
    for (;;) {
	if (b.used <= sd) {
	    digit = 0;
................................................................................
					     m2plus, m2minus, m5,
					     s2, s5, k, len, ilim, ilim1,
					     decpt, endPtr);
	} else if (s5 == 0) {
	    /*
	     * The denominator is a power of 2, so we can replace division
	     * by digit shifts. First we round up s2 to a multiple of
	     * DIGIT_BIT, and adjust m2 and b2 accordingly. Then we launch
	     * into a version of the comparison that's specialized for
	     * the 'power of mp_digit in the denominator' case.
	     */
	    if (s2 % MP_DIGIT_BIT != 0) {
		int delta = MP_DIGIT_BIT - (s2 % MP_DIGIT_BIT);
		b2 += delta;
		m2plus += delta;
................................................................................
					 s2, s5, k, len, ilim, ilim1,
					 decpt, endPtr);

	} else if (s5 == 0) {
	    /*
	     * The denominator is a power of 2, so we can replace division
	     * by digit shifts. First we round up s2 to a multiple of
	     * DIGIT_BIT, and adjust m2 and b2 accordingly. Then we launch
	     * into a version of the comparison that's specialized for
	     * the 'power of mp_digit in the denominator' case.
	     */
	    if (s2 % MP_DIGIT_BIT != 0) {
		int delta = MP_DIGIT_BIT - (s2 % MP_DIGIT_BIT);
		b2 += delta;
		s2 += delta;
................................................................................
     * We need a 'mantBits'-bit significand.  Determine what shift will
     * give us that.
     */

    bits = mp_count_bits(a);
    if (bits > DBL_MAX_EXP*log2FLT_RADIX) {
	errno = ERANGE;
	if (a->sign == MP_ZPOS) {
	    return HUGE_VAL;
	} else {
	    return -HUGE_VAL;
	}
    }
    shift = mantBits - bits;

    /*
     * If shift > 0, shift the significand left by the requisite number of
     * bits.  If shift == 0, the significand is already exactly 'mantBits'
................................................................................

	    /*
	     * Round to even
	     */

	    mp_div_2d(a, -shift, &b, NULL);
	    if (mp_isodd(&b)) {
		if (b.sign == MP_ZPOS) {
		    mp_add_d(&b, 1, &b);
		} else {
		    mp_sub_d(&b, 1, &b);
		}
	    }
	} else {

	    /*
	     * Ordinary rounding
	     */

	    mp_div_2d(a, -1-shift, &b, NULL);
	    if (b.sign == MP_ZPOS) {
		mp_add_d(&b, 1, &b);
	    } else {
		mp_sub_d(&b, 1, &b);
	    }
	    mp_div_2d(&b, 1, &b, NULL);
	}
    }

    /*
     * Accumulate the result, one mp_digit at a time.
................................................................................

    r = ldexp(r, bits - mantBits);

    /*
     * Return the result with the appropriate sign.
     */

    if (a->sign == MP_ZPOS) {
	return r;
    } else {
	return -r;
    }
}

/*
 *-----------------------------------------------------------------------------
 *
 * TclCeil --
................................................................................
    mp_clear(&b);

    /*
     * Return the result with the appropriate sign.
     */

    *machexp = bits - mantBits + 2;
    return ((a->sign == MP_ZPOS) ? r : -r);
}
 
/*
 *----------------------------------------------------------------------
 *
 * Pow10TimesFrExp --
 *

				/* floor(FP_PRECISION*log(2)/log(5)) */
#define QUICK_MAX		14
				/* floor((FP_PRECISION-1)*log(2)/log(10)) - 1 */
#define BLETCH			0x10
				/* Highest power of two that is greater than
				 * DBL_MAX_10_EXP, divided by 16 */
#define DIGIT_GROUP		8
				/* floor(MP_DIGIT_BIT*log(2)/log(10)) */

/* Union used to dismantle floating point numbers. */

typedef union Double {
    struct {
#ifdef WORDS_BIGENDIAN
	int word0;
................................................................................
		bignumRepPtr);
	mp_add_d(bignumRepPtr, (mp_digit) digit, bignumRepPtr);
    } else {
	/*
	 * More than single digit multiplication. Multiply by the appropriate
	 * small powers of 5, and then shift. Large strings of zeroes are
	 * eaten 256 at a time; this is less efficient than it could be, but
	 * seems implausible. We presume that MP_DIGIT_BIT is at least 27. The
	 * first multiplication, by up to 10**7, is done with a one-DIGIT
	 * multiply (this presumes that MP_DIGIT_BIT >= 24).
	 */

	n = numZeros + 1;
	mp_mul_d(bignumRepPtr, (mp_digit) pow10_wide[n&0x7], bignumRepPtr);
	for (i=3; i<=7; ++i) {
	    if (n & (1 << i)) {
		mp_mul(bignumRepPtr, pow5+i, bignumRepPtr);
................................................................................
/*
 *-----------------------------------------------------------------------------
 *
 * ShouldBankerRoundUpPowD --
 *
 *	Test whether bankers' rounding should round a digit up. Assumption
 *	is made that the denominator of the fraction being tested is
 *	a power of 2**MP_DIGIT_BIT.
 *
 * Results:
 *	Returns 1 iff the fraction is more than 1/2, or if the fraction
 *	is exactly 1/2 and the digit is odd.
 *
 *-----------------------------------------------------------------------------
 */

inline static int
ShouldBankerRoundUpPowD(mp_int* b,
				/* Numerator of the fraction */
			int sd,	/* Denominator is 2**(sd*MP_DIGIT_BIT) */
			int isodd)
				/* 1 if the digit is odd, 0 if even */
{
    int i;
    static const mp_digit topbit = (1<<(MP_DIGIT_BIT-1));
    if (b->used < sd || (b->dp[sd-1] & topbit) == 0) {
	return 0;
................................................................................

inline static int
ShouldBankerRoundUpToNextPowD(mp_int* b,
				/* Numerator of the fraction */
			      mp_int* m,
				/* Numerator of the rounding tolerance */
			      int sd,
				/* Common denominator is 2**(sd*MP_DIGIT_BIT) */
			      int convType,
				/* Conversion type: STEELE defeats
				 * round-to-even (Not sure why one wants to
				 * do this; I copied it from Gay) FIXME */
			      int isodd,
				/* 1 if the integer significand is odd */
			      mp_int* temp)
................................................................................
				/* Work area for the calculation */
{
    int i;

    /*
     * Compare B and S-m -- which is the same as comparing B+m and S --
     * which we do by computing b+m and doing a bitwhack compare against
     * 2**(MP_DIGIT_BIT*sd)
     */
    mp_add(b, m, temp);
    if (temp->used <= sd) {	/* too few digits to be > S */
	return 0;
    }
    if (temp->used > sd+1 || temp->dp[sd] > 1) {
				/* >= 2s */
................................................................................
 *
 * ShorteningBignumConversionPowD --
 *
 *	Converts a double-precision number to the shortest string of
 *	digits that reconverts exactly to the given number, or to
 *	'ilim' digits if that will yield a shorter result. The denominator
 *	in David Gay's conversion algorithm is known to be a power of
 *	2**MP_DIGIT_BIT, and hence the division in the main loop may be replaced
 *	by a digit shift and mask.
 *
 * Results:
 *	Returns the string of significant decimal digits, in newly
 *	allocated memory
 *
 * Side effects:
................................................................................
    MulPow5(&mminus, m5, &mminus);
    if (m2plus > m2minus) {
	mp_init_copy(&mplus, &mminus);
	mp_mul_2d(&mplus, m2plus-m2minus, &mplus);
    }
    mp_init(&temp);

    /* Loop through the digits. Do division and mod by s == 2**(sd*MP_DIGIT_BIT)
     * by mp_digit extraction */

    i = 0;
    for (;;) {
	if (b.used <= sd) {
	    digit = 0;
	} else {
................................................................................
 *-----------------------------------------------------------------------------
 *
 * StrictBignumConversionPowD --
 *
 *	Converts a double-precision number to a fixed-lengt string of
 *	'ilim' digits (or 'ilim1' if log10(d) has been overestimated.)
 *	The denominator in David Gay's conversion algorithm is known to
 *	be a power of 2**MP_DIGIT_BIT, and hence the division in the main
 *	loop may be replaced by a digit shift and mask.
 *
 * Results:
 *	Returns the string of significant decimal digits, in newly
 *	allocated memory.
 *
 * Side effects:
................................................................................
	mp_mul_d(&b, 10, &b);
	ilim = ilim1;
	--k;
    }
    mp_init(&temp);

    /*
     * Loop through the digits. Do division and mod by s == 2**(sd*MP_DIGIT_BIT)
     * by mp_digit extraction
     */

    i = 1;
    for (;;) {
	if (b.used <= sd) {
	    digit = 0;
................................................................................
					     m2plus, m2minus, m5,
					     s2, s5, k, len, ilim, ilim1,
					     decpt, endPtr);
	} else if (s5 == 0) {
	    /*
	     * The denominator is a power of 2, so we can replace division
	     * by digit shifts. First we round up s2 to a multiple of
	     * MP_DIGIT_BIT, and adjust m2 and b2 accordingly. Then we launch
	     * into a version of the comparison that's specialized for
	     * the 'power of mp_digit in the denominator' case.
	     */
	    if (s2 % MP_DIGIT_BIT != 0) {
		int delta = MP_DIGIT_BIT - (s2 % MP_DIGIT_BIT);
		b2 += delta;
		m2plus += delta;
................................................................................
					 s2, s5, k, len, ilim, ilim1,
					 decpt, endPtr);

	} else if (s5 == 0) {
	    /*
	     * The denominator is a power of 2, so we can replace division
	     * by digit shifts. First we round up s2 to a multiple of
	     * MP_DIGIT_BIT, and adjust m2 and b2 accordingly. Then we launch
	     * into a version of the comparison that's specialized for
	     * the 'power of mp_digit in the denominator' case.
	     */
	    if (s2 % MP_DIGIT_BIT != 0) {
		int delta = MP_DIGIT_BIT - (s2 % MP_DIGIT_BIT);
		b2 += delta;
		s2 += delta;
................................................................................
     * We need a 'mantBits'-bit significand.  Determine what shift will
     * give us that.
     */

    bits = mp_count_bits(a);
    if (bits > DBL_MAX_EXP*log2FLT_RADIX) {
	errno = ERANGE;
	if (mp_isneg(a)) {
	    return -HUGE_VAL;
	} else {
	    return HUGE_VAL;
	}
    }
    shift = mantBits - bits;

    /*
     * If shift > 0, shift the significand left by the requisite number of
     * bits.  If shift == 0, the significand is already exactly 'mantBits'
................................................................................

	    /*
	     * Round to even
	     */

	    mp_div_2d(a, -shift, &b, NULL);
	    if (mp_isodd(&b)) {
		if (mp_isneg(&b)) {
		    mp_sub_d(&b, 1, &b);
		} else {
		    mp_add_d(&b, 1, &b);
		}
	    }
	} else {

	    /*
	     * Ordinary rounding
	     */

	    mp_div_2d(a, -1-shift, &b, NULL);
	    if (mp_isneg(&b)) {
		mp_sub_d(&b, 1, &b);
	    } else {
		mp_add_d(&b, 1, &b);
	    }
	    mp_div_2d(&b, 1, &b, NULL);
	}
    }

    /*
     * Accumulate the result, one mp_digit at a time.
................................................................................

    r = ldexp(r, bits - mantBits);

    /*
     * Return the result with the appropriate sign.
     */

    if (mp_isneg(a)) {
	return -r;
    } else {
	return r;
    }
}

/*
 *-----------------------------------------------------------------------------
 *
 * TclCeil --
................................................................................
    mp_clear(&b);

    /*
     * Return the result with the appropriate sign.
     */

    *machexp = bits - mantBits + 2;
    return (mp_isneg(a) ? -r : r);
}
 
/*
 *----------------------------------------------------------------------
 *
 * Pow10TimesFrExp --
 *

	    } else if (useWide) {
		if (Tcl_GetWideIntFromObj(NULL, segment, &w) != TCL_OK) {
		    Tcl_Obj *objPtr;

		    if (Tcl_GetBignumFromObj(interp,segment,&big) != TCL_OK) {
			goto error;
		    }
		    mp_mod_2d(&big, (int) CHAR_BIT*sizeof(Tcl_WideInt), &big);
		    objPtr = Tcl_NewBignumObj(&big);
		    Tcl_IncrRefCount(objPtr);
		    Tcl_GetWideIntFromObj(NULL, objPtr, &w);
		    Tcl_DecrRefCount(objPtr);
		}
		isNegative = (w < (Tcl_WideInt)0);
	    } else if (TclGetLongFromObj(NULL, segment, &l) != TCL_OK) {
		if (Tcl_GetWideIntFromObj(NULL, segment, &w) != TCL_OK) {
		    Tcl_Obj *objPtr;

		    if (Tcl_GetBignumFromObj(interp,segment,&big) != TCL_OK) {
			goto error;
		    }
		    mp_mod_2d(&big, (int) CHAR_BIT * sizeof(long), &big);
		    objPtr = Tcl_NewBignumObj(&big);
		    Tcl_IncrRefCount(objPtr);
		    TclGetLongFromObj(NULL, objPtr, &l);
		    Tcl_DecrRefCount(objPtr);
		} else {
		    l = Tcl_WideAsLong(w);
		}

	    } else if (useWide) {
		if (Tcl_GetWideIntFromObj(NULL, segment, &w) != TCL_OK) {
		    Tcl_Obj *objPtr;

		    if (Tcl_GetBignumFromObj(interp,segment,&big) != TCL_OK) {
			goto error;
		    }
		    mp_mod_2d(&big, CHAR_BIT*sizeof(Tcl_WideInt), &big);
		    objPtr = Tcl_NewBignumObj(&big);
		    Tcl_IncrRefCount(objPtr);
		    Tcl_GetWideIntFromObj(NULL, objPtr, &w);
		    Tcl_DecrRefCount(objPtr);
		}
		isNegative = (w < (Tcl_WideInt)0);
	    } else if (TclGetLongFromObj(NULL, segment, &l) != TCL_OK) {
		if (Tcl_GetWideIntFromObj(NULL, segment, &w) != TCL_OK) {
		    Tcl_Obj *objPtr;

		    if (Tcl_GetBignumFromObj(interp,segment,&big) != TCL_OK) {
			goto error;
		    }
		    mp_mod_2d(&big, CHAR_BIT * sizeof(long), &big);
		    objPtr = Tcl_NewBignumObj(&big);
		    Tcl_IncrRefCount(objPtr);
		    TclGetLongFromObj(NULL, objPtr, &l);
		    Tcl_DecrRefCount(objPtr);
		} else {
		    l = Tcl_WideAsLong(w);
		}

	    return TCL_ERROR;
	}
	if (Tcl_GetBignumFromObj(interp, varPtr[varIndex],
		&bignumValue) != TCL_OK) {
	    return TCL_ERROR;
	}
	if (!Tcl_IsShared(varPtr[varIndex])) {
	    Tcl_SetIntObj(varPtr[varIndex], mp_iseven(&bignumValue));
	} else {
	    SetVarToObj(varIndex, Tcl_NewIntObj(mp_iseven(&bignumValue)));
	}
	mp_clear(&bignumValue);
	break;

    case BIGNUM_RADIXSIZE:
	if (objc != 3) {
	    Tcl_WrongNumArgs(interp, 2, objv, "varIndex");

	    return TCL_ERROR;
	}
	if (Tcl_GetBignumFromObj(interp, varPtr[varIndex],
		&bignumValue) != TCL_OK) {
	    return TCL_ERROR;
	}
	if (!Tcl_IsShared(varPtr[varIndex])) {
	    Tcl_SetIntObj(varPtr[varIndex], !mp_isodd(&bignumValue));
	} else {
	    SetVarToObj(varIndex, Tcl_NewIntObj(!mp_isodd(&bignumValue)));
	}
	mp_clear(&bignumValue);
	break;

    case BIGNUM_RADIXSIZE:
	if (objc != 3) {
	    Tcl_WrongNumArgs(interp, 2, objv, "varIndex");

# tclTomMath.decls --
#
#	This file contains the declarations for the functions in
#	'libtommath' that are contained within the Tcl library.
#	This file is used to generate the 'tclTomMathDecls.h' and
#	'tclStubInit.c' files.
#
# If you edit this file, advance the revision number (and the epoch
# if the new stubs are not backward compatible) in tclTomMathDecls.h
#
# Copyright (c) 2005 by Kevin B. Kenny.  All rights reserved.
#
# See the file "license.terms" for information on usage and redistribution
................................................................................

library tcl

# Define the unsupported generic interfaces.

interface tclTomMath
# hooks {tclTomMathInt}


# Declare each of the functions in the Tcl tommath interface

declare 0 generic {
    int TclBN_epoch(void)
}
declare 1 generic {
    int TclBN_revision(void)
}

declare 2 generic {
    int TclBN_mp_add(mp_int *a, mp_int *b, mp_int *c)
}
declare 3 generic {
    int TclBN_mp_add_d(mp_int *a, mp_digit b, mp_int *c)
}
declare 4 generic {
    int TclBN_mp_and(mp_int *a, mp_int *b, mp_int *c)
}
declare 5 generic {
    void TclBN_mp_clamp(mp_int *a)
}
declare 6 generic {
    void TclBN_mp_clear(mp_int *a)
}
declare 7 generic {
    void TclBN_mp_clear_multi(mp_int *a, ...)
}
declare 8 generic {
    int TclBN_mp_cmp(mp_int *a, mp_int *b)
}
declare 9 generic {
    int TclBN_mp_cmp_d(mp_int *a, mp_digit b)
}
declare 10 generic {
    int TclBN_mp_cmp_mag(mp_int *a, mp_int *b)
}
declare 11 generic {
    int TclBN_mp_copy(mp_int *a, mp_int *b)
}
declare 12 generic {
    int TclBN_mp_count_bits(mp_int *a)
}
declare 13 generic {
    int TclBN_mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r)
}
declare 14 generic {
    int TclBN_mp_div_d(mp_int *a, mp_digit b, mp_int *q, mp_digit *r)
}
declare 15 generic {
    int TclBN_mp_div_2(mp_int *a, mp_int *q)
}
declare 16 generic {
    int TclBN_mp_div_2d(mp_int *a, int b, mp_int *q, mp_int *r)
}
declare 17 generic {
    int TclBN_mp_div_3(mp_int *a, mp_int *q, mp_digit *r)
}
declare 18 generic {
    void TclBN_mp_exch(mp_int *a, mp_int *b)
}
declare 19 generic {
    int TclBN_mp_expt_d(mp_int *a, mp_digit b, mp_int *c)
}
declare 20 generic {
    int TclBN_mp_grow(mp_int *a, int size)
}
declare 21 generic {
    int TclBN_mp_init(mp_int *a)
}
declare 22 generic {
    int TclBN_mp_init_copy(mp_int *a, mp_int *b)
}
declare 23 generic {
    int TclBN_mp_init_multi(mp_int *a, ...)
}
declare 24 generic {
    int TclBN_mp_init_set(mp_int *a, mp_digit b)
}
declare 25 generic {
    int TclBN_mp_init_size(mp_int *a, int size)
}
declare 26 generic {
    int TclBN_mp_lshd(mp_int *a, int shift)
}
declare 27 generic {
    int TclBN_mp_mod(mp_int *a, mp_int *b, mp_int *r)
}
declare 28 generic {
    int TclBN_mp_mod_2d(mp_int *a, int b, mp_int *r)
}
declare 29 generic {
    int TclBN_mp_mul(mp_int *a, mp_int *b, mp_int *p)
}
declare 30 generic {
    int TclBN_mp_mul_d(mp_int *a, mp_digit b, mp_int *p)
}
declare 31 generic {
    int TclBN_mp_mul_2(mp_int *a, mp_int *p)
}
declare 32 generic {
    int TclBN_mp_mul_2d(mp_int *a, int d, mp_int *p)
}
declare 33 generic {
    int TclBN_mp_neg(mp_int *a, mp_int *b)
}
declare 34 generic {
    int TclBN_mp_or(mp_int *a, mp_int *b, mp_int *c)
}
declare 35 generic {
    int TclBN_mp_radix_size(mp_int *a, int radix, int *size)
}
declare 36 generic {
    int TclBN_mp_read_radix(mp_int *a, const char *str, int radix)
}
declare 37 generic {
    void TclBN_mp_rshd(mp_int *a, int shift)
}
declare 38 generic {
    int TclBN_mp_shrink(mp_int *a)
}
declare 39 generic {
    void TclBN_mp_set(mp_int *a, mp_digit b)
}
declare 40 generic {
    int TclBN_mp_sqr(mp_int *a, mp_int *b)
}
declare 41 generic {
    int TclBN_mp_sqrt(mp_int *a, mp_int *b)
}
declare 42 generic {
    int TclBN_mp_sub(mp_int *a, mp_int *b, mp_int *c)
}
declare 43 generic {
    int TclBN_mp_sub_d(mp_int *a, mp_digit b, mp_int *c)
}
declare 44 generic {
    int TclBN_mp_to_unsigned_bin(mp_int *a, unsigned char *b)
}
declare 45 generic {
    int TclBN_mp_to_unsigned_bin_n(mp_int *a, unsigned char *b,
	    unsigned long *outlen)
}
declare 46 generic {
    int TclBN_mp_toradix_n(mp_int *a, char *str, int radix, int maxlen)
}
declare 47 generic {
    int TclBN_mp_unsigned_bin_size(mp_int *a)
}
declare 48 generic {
    int TclBN_mp_xor(mp_int *a, mp_int *b, mp_int *c)
}
declare 49 generic {
    void TclBN_mp_zero(mp_int *a)
}

# internal routines to libtommath - should not be called but must be
# exported to accommodate the "tommath" extension

declare 50 generic {
    void TclBN_reverse(unsigned char *s, int len)
}
declare 51 generic {
    int TclBN_fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs)
}
declare 52 generic {
    int TclBN_fast_s_mp_sqr(mp_int *a, mp_int *b)
}
declare 53 generic {
    int TclBN_mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c)
}
declare 54 generic {
    int TclBN_mp_karatsuba_sqr(mp_int *a, mp_int *b)
}
declare 55 generic {
    int TclBN_mp_toom_mul(mp_int *a, mp_int *b, mp_int *c)
}
declare 56 generic {
    int TclBN_mp_toom_sqr(mp_int *a, mp_int *b)
}
declare 57 generic {
    int TclBN_s_mp_add(mp_int *a, mp_int *b, mp_int *c)
}
declare 58 generic {
    int TclBN_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs)
}
declare 59 generic {
    int TclBN_s_mp_sqr(mp_int *a, mp_int *b)
}
declare 60 generic {
    int TclBN_s_mp_sub(mp_int *a, mp_int *b, mp_int *c)
}
declare 61 {
    int TclBN_mp_init_set_int(mp_int *a, unsigned long i)
}
declare 62 {
    int TclBN_mp_set_int(mp_int *a, unsigned long i)
}
declare 63 {
    int TclBN_mp_cnt_lsb(mp_int *a)
}

# tclTomMath.decls --
#
#	This file contains the declarations for the functions in 'libtommath'
#	that are contained within the Tcl library.  This file is used to
#	generate the 'tclTomMathDecls.h' and 'tclStubInit.c' files.

#
# If you edit this file, advance the revision number (and the epoch
# if the new stubs are not backward compatible) in tclTomMathDecls.h
#
# Copyright (c) 2005 by Kevin B. Kenny.  All rights reserved.
#
# See the file "license.terms" for information on usage and redistribution
................................................................................

library tcl

# Define the unsupported generic interfaces.

interface tclTomMath
# hooks {tclTomMathInt}
scspec EXTERN

# Declare each of the functions in the Tcl tommath interface

declare 0 {
    int TclBN_epoch(void)
}
declare 1 {
    int TclBN_revision(void)
}

declare 2 {
    int TclBN_mp_add(mp_int *a, mp_int *b, mp_int *c)
}
declare 3 {
    int TclBN_mp_add_d(mp_int *a, mp_digit b, mp_int *c)
}
declare 4 {
    int TclBN_mp_and(const mp_int *a, const mp_int *b, mp_int *c)
}
declare 5 {
    void TclBN_mp_clamp(mp_int *a)
}
declare 6 {
    void TclBN_mp_clear(mp_int *a)
}
declare 7 {
    void TclBN_mp_clear_multi(mp_int *a, ...)
}
declare 8 {
    int TclBN_mp_cmp(const mp_int *a, const mp_int *b)
}
declare 9 {
    int TclBN_mp_cmp_d(const mp_int *a, mp_digit b)
}
declare 10 {
    int TclBN_mp_cmp_mag(const mp_int *a, const mp_int *b)
}
declare 11 {
    int TclBN_mp_copy(mp_int *a, mp_int *b)
}
declare 12 {
    int TclBN_mp_count_bits(mp_int *a)
}
declare 13 {
    int TclBN_mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r)
}
declare 14 {
    int TclBN_mp_div_d(mp_int *a, mp_digit b, mp_int *q, mp_digit *r)
}
declare 15 {
    int TclBN_mp_div_2(mp_int *a, mp_int *q)
}
declare 16 {
    int TclBN_mp_div_2d(mp_int *a, int b, mp_int *q, mp_int *r)
}
declare 17 {
    int TclBN_mp_div_3(mp_int *a, mp_int *q, mp_digit *r)
}
declare 18 {
    void TclBN_mp_exch(mp_int *a, mp_int *b)
}
declare 19 {
    int TclBN_mp_expt_d(mp_int *a, mp_digit b, mp_int *c)
}
declare 20 {
    int TclBN_mp_grow(mp_int *a, int size)
}
declare 21 {
    int TclBN_mp_init(mp_int *a)
}
declare 22 {
    int TclBN_mp_init_copy(mp_int *a, mp_int *b)
}
declare 23 {
    int TclBN_mp_init_multi(mp_int *a, ...)
}
declare 24 {
    int TclBN_mp_init_set(mp_int *a, mp_digit b)
}
declare 25 {
    int TclBN_mp_init_size(mp_int *a, int size)
}
declare 26 {
    int TclBN_mp_lshd(mp_int *a, int shift)
}
declare 27 {
    int TclBN_mp_mod(mp_int *a, mp_int *b, mp_int *r)
}
declare 28 {
    int TclBN_mp_mod_2d(mp_int *a, int b, mp_int *r)
}
declare 29 {
    int TclBN_mp_mul(mp_int *a, mp_int *b, mp_int *p)
}
declare 30 {
    int TclBN_mp_mul_d(mp_int *a, mp_digit b, mp_int *p)
}
declare 31 {
    int TclBN_mp_mul_2(mp_int *a, mp_int *p)
}
declare 32 {
    int TclBN_mp_mul_2d(mp_int *a, int d, mp_int *p)
}
declare 33 {
    int TclBN_mp_neg(mp_int *a, mp_int *b)
}
declare 34 {
    int TclBN_mp_or(const mp_int *a, const mp_int *b, mp_int *c)
}
declare 35 {
    int TclBN_mp_radix_size(mp_int *a, int radix, int *size)
}
declare 36 {
    int TclBN_mp_read_radix(mp_int *a, const char *str, int radix)
}
declare 37 {
    void TclBN_mp_rshd(mp_int *a, int shift)
}
declare 38 {
    int TclBN_mp_shrink(mp_int *a)
}
declare 39 {
    void TclBN_mp_set(mp_int *a, mp_digit b)
}
declare 40 {
    int TclBN_mp_sqr(mp_int *a, mp_int *b)
}
declare 41 {
    int TclBN_mp_sqrt(mp_int *a, mp_int *b)
}
declare 42 {
    int TclBN_mp_sub(mp_int *a, mp_int *b, mp_int *c)
}
declare 43 {
    int TclBN_mp_sub_d(mp_int *a, mp_digit b, mp_int *c)
}
declare 44 {
    int TclBN_mp_to_unsigned_bin(mp_int *a, unsigned char *b)
}
declare 45 {
    int TclBN_mp_to_unsigned_bin_n(mp_int *a, unsigned char *b,
	    unsigned long *outlen)
}
declare 46 {
    int TclBN_mp_toradix_n(mp_int *a, char *str, int radix, int maxlen)
}
declare 47 {
    int TclBN_mp_unsigned_bin_size(mp_int *a)
}
declare 48 {
    int TclBN_mp_xor(const mp_int *a, const mp_int *b, mp_int *c)
}
declare 49 {
    void TclBN_mp_zero(mp_int *a)
}

# internal routines to libtommath - should not be called but must be
# exported to accommodate the "tommath" extension

declare 50 {
    void TclBN_reverse(unsigned char *s, int len)
}
declare 51 {
    int TclBN_fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs)
}
declare 52 {
    int TclBN_fast_s_mp_sqr(mp_int *a, mp_int *b)
}
declare 53 {
    int TclBN_mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c)
}
declare 54 {
    int TclBN_mp_karatsuba_sqr(mp_int *a, mp_int *b)
}
declare 55 {
    int TclBN_mp_toom_mul(mp_int *a, mp_int *b, mp_int *c)
}
declare 56 {
    int TclBN_mp_toom_sqr(mp_int *a, mp_int *b)
}
declare 57 {
    int TclBN_s_mp_add(mp_int *a, mp_int *b, mp_int *c)
}
declare 58 {
    int TclBN_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs)
}
declare 59 {
    int TclBN_s_mp_sqr(mp_int *a, mp_int *b)
}
declare 60 {
    int TclBN_s_mp_sub(mp_int *a, mp_int *b, mp_int *c)
}
declare 61 {
    int TclBN_mp_init_set_int(mp_int *a, unsigned long i)
}
declare 62 {
    int TclBN_mp_set_int(mp_int *a, unsigned long i)
}
declare 63 {
    int TclBN_mp_cnt_lsb(mp_int *a)
}

/* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */
typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat);


/* error code to char* string */
/*
char *mp_error_to_string(int code);
*/

/* ---> init and deinit bignum functions <--- */
/* init a bignum */
/*
int mp_init(mp_int *a);
*/

/* free a bignum */
/*
void mp_clear(mp_int *a);
*/

/* init a null terminated series of arguments */
/*
int mp_init_multi(mp_int *mp, ...);
*/

/* clear a null terminated series of arguments */
/*
void mp_clear_multi(mp_int *mp, ...);
*/

................................................................................
/* exchange two ints */
/*
void mp_exch(mp_int *a, mp_int *b);
*/

/* shrink ram required for a bignum */
/*
int mp_shrink(mp_int *a);
*/

/* grow an int to a given size */
/*
int mp_grow(mp_int *a, int size);
*/

/* init to a given number of digits */
/*
int mp_init_size(mp_int *a, int size);
*/

/* ---> Basic Manipulations <--- */
#define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO)
#define mp_iseven(a) (((a)->used == 0 || (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO)
#define mp_isodd(a)  (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO)


/* set to zero */
/*
void mp_zero(mp_int *a);
*/

/* set to a digit */
................................................................................
int mp_prime_is_divisible(mp_int *a, int *result);
*/

/* performs one Fermat test of "a" using base "b".
 * Sets result to 0 if composite or 1 if probable prime
 */
/*
int mp_prime_fermat(mp_int *a, mp_int *b, int *result);
*/

/* performs one Miller-Rabin test of "a" using base "b".
 * Sets result to 0 if composite or 1 if probable prime
 */
/*
int mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result);
*/

/* This gives [for a given bit size] the number of trials required
 * such that Miller-Rabin gives a prob of failure lower than 2^-96
 */
/*
int mp_prime_rabin_miller_trials(int size);
................................................................................
 * t prime bases.  Also performs an initial sieve of trial
 * division.  Determines if "a" is prime with probability
 * of error no more than (1/4)**t.
 *
 * Sets result to 1 if probably prime, 0 otherwise
 */
/*
int mp_prime_is_prime(mp_int *a, int t, int *result);
*/

/* finds the next prime after the number "a" using "t" trials
 * of Miller-Rabin.
 *
 * bbs_style = 1 means the prime must be congruent to 3 mod 4
 */
/*
int mp_prime_next_prime(mp_int *a, int t, int bbs_style);
*/

/* makes a truly random prime of a given size (bytes),
 * call with bbs = 1 if you want it to be congruent to 3 mod 4
 *
 * You have to supply a callback which fills in a buffer with random bytes.  "dat" is a parameter you can
 * have passed to the callback (e.g. a state or something).  This function doesn't use "dat" itself
................................................................................
 */
#define mp_prime_random(a, t, size, bbs, cb, dat) mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat)

/* makes a truly random prime of a given size (bits),
 *
 * Flags are as follows:
 *
 *   LTM_PRIME_BBS      - make prime congruent to 3 mod 4
 *   LTM_PRIME_SAFE     - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS)
 *   LTM_PRIME_2MSB_ON  - make the 2nd highest bit one
 *
 * You have to supply a callback which fills in a buffer with random bytes.  "dat" is a parameter you can
 * have passed to the callback (e.g. a state or something).  This function doesn't use "dat" itself
 * so it can be NULL
 *
 */
/*

/* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */
typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat);


/* error code to char* string */
/*
const char *mp_error_to_string(mp_err code);
*/

/* ---> init and deinit bignum functions <--- */
/* init a bignum */
/*
mp_err mp_init(mp_int *a);
*/

/* free a bignum */
/*
void mp_clear(mp_int *a);
*/

/* init a null terminated series of arguments */
/*
mp_err mp_init_multi(mp_int *mp, ...);
*/

/* clear a null terminated series of arguments */
/*
void mp_clear_multi(mp_int *mp, ...);
*/

................................................................................
/* exchange two ints */
/*
void mp_exch(mp_int *a, mp_int *b);
*/

/* shrink ram required for a bignum */
/*
mp_err mp_shrink(mp_int *a);
*/

/* grow an int to a given size */
/*
mp_err mp_grow(mp_int *a, int size);
*/

/* init to a given number of digits */
/*
mp_err mp_init_size(mp_int *a, int size);
*/

/* ---> Basic Manipulations <--- */
#define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO)
#define mp_iseven(a) (((a)->used == 0 || (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO)
#define mp_isodd(a)  (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO)
#define mp_isneg(a)  (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO)

/* set to zero */
/*
void mp_zero(mp_int *a);
*/

/* set to a digit */
................................................................................
int mp_prime_is_divisible(mp_int *a, int *result);
*/

/* performs one Fermat test of "a" using base "b".
 * Sets result to 0 if composite or 1 if probable prime
 */
/*
mp_err mp_prime_fermat(const mp_int *a, const mp_int *b, mp_bool *result);
*/

/* performs one Miller-Rabin test of "a" using base "b".
 * Sets result to 0 if composite or 1 if probable prime
 */
/*
mp_err mp_prime_miller_rabin(const mp_int *a, const mp_int *b, mp_bool *result);
*/

/* This gives [for a given bit size] the number of trials required
 * such that Miller-Rabin gives a prob of failure lower than 2^-96
 */
/*
int mp_prime_rabin_miller_trials(int size);
................................................................................
 * t prime bases.  Also performs an initial sieve of trial
 * division.  Determines if "a" is prime with probability
 * of error no more than (1/4)**t.
 *
 * Sets result to 1 if probably prime, 0 otherwise
 */
/*
mp_err mp_prime_is_prime(const mp_int *a, int t, mp_bool *result);
*/

/* finds the next prime after the number "a" using "t" trials
 * of Miller-Rabin.
 *
 * bbs_style = 1 means the prime must be congruent to 3 mod 4
 */
/*
mp_err mp_prime_next_prime(mp_int *a, int t, int bbs_style);
*/

/* makes a truly random prime of a given size (bytes),
 * call with bbs = 1 if you want it to be congruent to 3 mod 4
 *
 * You have to supply a callback which fills in a buffer with random bytes.  "dat" is a parameter you can
 * have passed to the callback (e.g. a state or something).  This function doesn't use "dat" itself
................................................................................
 */
#define mp_prime_random(a, t, size, bbs, cb, dat) mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat)

/* makes a truly random prime of a given size (bits),
 *
 * Flags are as follows:
 *
 *   MP_PRIME_BBS      - make prime congruent to 3 mod 4
 *   MP_PRIME_SAFE     - make sure (p-1)/2 is prime as well (implies MP_PRIME_BBS)
 *   MP_PRIME_2MSB_ON  - make the 2nd highest bit one
 *
 * You have to supply a callback which fills in a buffer with random bytes.  "dat" is a parameter you can
 * have passed to the callback (e.g. a state or something).  This function doesn't use "dat" itself
 * so it can be NULL
 *
 */
/*

/* unused - no macro */

#define XMALLOC(x) TclBNAlloc(x)
#define XFREE(x) TclBNFree(x)
#define XREALLOC(x,n) TclBNRealloc(x,n)
#define XCALLOC(n,x) TclBNCalloc(n,x)

/* Rename the global symbols in libtommath to avoid linkage conflicts */

#define KARATSUBA_MUL_CUTOFF TclBNKaratsubaMulCutoff
#define KARATSUBA_SQR_CUTOFF TclBNKaratsubaSqrCutoff
#define TOOM_MUL_CUTOFF TclBNToomMulCutoff
#define TOOM_SQR_CUTOFF TclBNToomSqrCutoff

#define bn_reverse TclBN_reverse
#define s_mp_reverse TclBN_reverse
#define fast_s_mp_mul_digs TclBN_fast_s_mp_mul_digs
#define s_mp_mul_digs_fast TclBN_fast_s_mp_mul_digs
#define fast_s_mp_sqr TclBN_fast_s_mp_sqr
#define s_mp_sqr_fast TclBN_fast_s_mp_sqr
#define mp_add TclBN_mp_add
................................................................................
#define TclBN_mp_add_d_TCL_DECLARED
/* 3 */
EXTERN int		TclBN_mp_add_d(mp_int *a, mp_digit b, mp_int *c);
#endif
#ifndef TclBN_mp_and_TCL_DECLARED
#define TclBN_mp_and_TCL_DECLARED
/* 4 */
EXTERN int		TclBN_mp_and(mp_int *a, mp_int *b, mp_int *c);

#endif
#ifndef TclBN_mp_clamp_TCL_DECLARED
#define TclBN_mp_clamp_TCL_DECLARED
/* 5 */
EXTERN void		TclBN_mp_clamp(mp_int *a);
#endif
#ifndef TclBN_mp_clear_TCL_DECLARED
................................................................................
#define TclBN_mp_clear_multi_TCL_DECLARED
/* 7 */
EXTERN void		TclBN_mp_clear_multi(mp_int *a, ...);
#endif
#ifndef TclBN_mp_cmp_TCL_DECLARED
#define TclBN_mp_cmp_TCL_DECLARED
/* 8 */
EXTERN int		TclBN_mp_cmp(mp_int *a, mp_int *b);
#endif
#ifndef TclBN_mp_cmp_d_TCL_DECLARED
#define TclBN_mp_cmp_d_TCL_DECLARED
/* 9 */
EXTERN int		TclBN_mp_cmp_d(mp_int *a, mp_digit b);
#endif
#ifndef TclBN_mp_cmp_mag_TCL_DECLARED
#define TclBN_mp_cmp_mag_TCL_DECLARED
/* 10 */
EXTERN int		TclBN_mp_cmp_mag(mp_int *a, mp_int *b);
#endif
#ifndef TclBN_mp_copy_TCL_DECLARED
#define TclBN_mp_copy_TCL_DECLARED
/* 11 */
EXTERN int		TclBN_mp_copy(mp_int *a, mp_int *b);
#endif
#ifndef TclBN_mp_count_bits_TCL_DECLARED
................................................................................
#define TclBN_mp_neg_TCL_DECLARED
/* 33 */
EXTERN int		TclBN_mp_neg(mp_int *a, mp_int *b);
#endif
#ifndef TclBN_mp_or_TCL_DECLARED
#define TclBN_mp_or_TCL_DECLARED
/* 34 */
EXTERN int		TclBN_mp_or(mp_int *a, mp_int *b, mp_int *c);

#endif
#ifndef TclBN_mp_radix_size_TCL_DECLARED
#define TclBN_mp_radix_size_TCL_DECLARED
/* 35 */
EXTERN int		TclBN_mp_radix_size(mp_int *a, int radix, int *size);
#endif
#ifndef TclBN_mp_read_radix_TCL_DECLARED
................................................................................
#define TclBN_mp_unsigned_bin_size_TCL_DECLARED
/* 47 */
EXTERN int		TclBN_mp_unsigned_bin_size(mp_int *a);
#endif
#ifndef TclBN_mp_xor_TCL_DECLARED
#define TclBN_mp_xor_TCL_DECLARED
/* 48 */
EXTERN int		TclBN_mp_xor(mp_int *a, mp_int *b, mp_int *c);

#endif
#ifndef TclBN_mp_zero_TCL_DECLARED
#define TclBN_mp_zero_TCL_DECLARED
/* 49 */
EXTERN void		TclBN_mp_zero(mp_int *a);
#endif
#ifndef TclBN_reverse_TCL_DECLARED
................................................................................
    int magic;
    struct TclTomMathStubHooks *hooks;

    int (*tclBN_epoch) (void); /* 0 */
    int (*tclBN_revision) (void); /* 1 */
    int (*tclBN_mp_add) (mp_int *a, mp_int *b, mp_int *c); /* 2 */
    int (*tclBN_mp_add_d) (mp_int *a, mp_digit b, mp_int *c); /* 3 */
    int (*tclBN_mp_and) (mp_int *a, mp_int *b, mp_int *c); /* 4 */
    void (*tclBN_mp_clamp) (mp_int *a); /* 5 */
    void (*tclBN_mp_clear) (mp_int *a); /* 6 */
    void (*tclBN_mp_clear_multi) (mp_int *a, ...); /* 7 */
    int (*tclBN_mp_cmp) (mp_int *a, mp_int *b); /* 8 */
    int (*tclBN_mp_cmp_d) (mp_int *a, mp_digit b); /* 9 */
    int (*tclBN_mp_cmp_mag) (mp_int *a, mp_int *b); /* 10 */
    int (*tclBN_mp_copy) (mp_int *a, mp_int *b); /* 11 */
    int (*tclBN_mp_count_bits) (mp_int *a); /* 12 */
    int (*tclBN_mp_div) (mp_int *a, mp_int *b, mp_int *q, mp_int *r); /* 13 */
    int (*tclBN_mp_div_d) (mp_int *a, mp_digit b, mp_int *q, mp_digit *r); /* 14 */
    int (*tclBN_mp_div_2) (mp_int *a, mp_int *q); /* 15 */
    int (*tclBN_mp_div_2d) (mp_int *a, int b, mp_int *q, mp_int *r); /* 16 */
    int (*tclBN_mp_div_3) (mp_int *a, mp_int *q, mp_digit *r); /* 17 */
................................................................................
    int (*tclBN_mp_mod) (mp_int *a, mp_int *b, mp_int *r); /* 27 */
    int (*tclBN_mp_mod_2d) (mp_int *a, int b, mp_int *r); /* 28 */
    int (*tclBN_mp_mul) (mp_int *a, mp_int *b, mp_int *p); /* 29 */
    int (*tclBN_mp_mul_d) (mp_int *a, mp_digit b, mp_int *p); /* 30 */
    int (*tclBN_mp_mul_2) (mp_int *a, mp_int *p); /* 31 */
    int (*tclBN_mp_mul_2d) (mp_int *a, int d, mp_int *p); /* 32 */
    int (*tclBN_mp_neg) (mp_int *a, mp_int *b); /* 33 */
    int (*tclBN_mp_or) (mp_int *a, mp_int *b, mp_int *c); /* 34 */
    int (*tclBN_mp_radix_size) (mp_int *a, int radix, int *size); /* 35 */
    int (*tclBN_mp_read_radix) (mp_int *a, CONST char *str, int radix); /* 36 */
    void (*tclBN_mp_rshd) (mp_int *a, int shift); /* 37 */
    int (*tclBN_mp_shrink) (mp_int *a); /* 38 */
    void (*tclBN_mp_set) (mp_int *a, mp_digit b); /* 39 */
    int (*tclBN_mp_sqr) (mp_int *a, mp_int *b); /* 40 */
    int (*tclBN_mp_sqrt) (mp_int *a, mp_int *b); /* 41 */
    int (*tclBN_mp_sub) (mp_int *a, mp_int *b, mp_int *c); /* 42 */
    int (*tclBN_mp_sub_d) (mp_int *a, mp_digit b, mp_int *c); /* 43 */
    int (*tclBN_mp_to_unsigned_bin) (mp_int *a, unsigned char *b); /* 44 */
    int (*tclBN_mp_to_unsigned_bin_n) (mp_int *a, unsigned char *b, unsigned long *outlen); /* 45 */
    int (*tclBN_mp_toradix_n) (mp_int *a, char *str, int radix, int maxlen); /* 46 */
    int (*tclBN_mp_unsigned_bin_size) (mp_int *a); /* 47 */
    int (*tclBN_mp_xor) (mp_int *a, mp_int *b, mp_int *c); /* 48 */
    void (*tclBN_mp_zero) (mp_int *a); /* 49 */
    void (*tclBN_reverse) (unsigned char *s, int len); /* 50 */
    int (*tclBN_fast_s_mp_mul_digs) (mp_int *a, mp_int *b, mp_int *c, int digs); /* 51 */
    int (*tclBN_fast_s_mp_sqr) (mp_int *a, mp_int *b); /* 52 */
    int (*tclBN_mp_karatsuba_mul) (mp_int *a, mp_int *b, mp_int *c); /* 53 */
    int (*tclBN_mp_karatsuba_sqr) (mp_int *a, mp_int *b); /* 54 */
    int (*tclBN_mp_toom_mul) (mp_int *a, mp_int *b, mp_int *c); /* 55 */

/* unused - no macro */

#define XMALLOC(x) TclBNAlloc(x)
#define XFREE(x) TclBNFree(x)
#define XREALLOC(x,n) TclBNRealloc(x,n)
#define XCALLOC(n,x) TclBNCalloc(n,x)








#define bn_reverse TclBN_reverse
#define s_mp_reverse TclBN_reverse
#define fast_s_mp_mul_digs TclBN_fast_s_mp_mul_digs
#define s_mp_mul_digs_fast TclBN_fast_s_mp_mul_digs
#define fast_s_mp_sqr TclBN_fast_s_mp_sqr
#define s_mp_sqr_fast TclBN_fast_s_mp_sqr
#define mp_add TclBN_mp_add
................................................................................
#define TclBN_mp_add_d_TCL_DECLARED
/* 3 */
EXTERN int		TclBN_mp_add_d(mp_int *a, mp_digit b, mp_int *c);
#endif
#ifndef TclBN_mp_and_TCL_DECLARED
#define TclBN_mp_and_TCL_DECLARED
/* 4 */
EXTERN int		TclBN_mp_and(CONST mp_int *a, CONST mp_int *b,
				mp_int *c);
#endif
#ifndef TclBN_mp_clamp_TCL_DECLARED
#define TclBN_mp_clamp_TCL_DECLARED
/* 5 */
EXTERN void		TclBN_mp_clamp(mp_int *a);
#endif
#ifndef TclBN_mp_clear_TCL_DECLARED
................................................................................
#define TclBN_mp_clear_multi_TCL_DECLARED
/* 7 */
EXTERN void		TclBN_mp_clear_multi(mp_int *a, ...);
#endif
#ifndef TclBN_mp_cmp_TCL_DECLARED
#define TclBN_mp_cmp_TCL_DECLARED
/* 8 */
EXTERN int		TclBN_mp_cmp(CONST mp_int *a, CONST mp_int *b);
#endif
#ifndef TclBN_mp_cmp_d_TCL_DECLARED
#define TclBN_mp_cmp_d_TCL_DECLARED
/* 9 */
EXTERN int		TclBN_mp_cmp_d(CONST mp_int *a, mp_digit b);
#endif
#ifndef TclBN_mp_cmp_mag_TCL_DECLARED
#define TclBN_mp_cmp_mag_TCL_DECLARED
/* 10 */
EXTERN int		TclBN_mp_cmp_mag(CONST mp_int *a, CONST mp_int *b);
#endif
#ifndef TclBN_mp_copy_TCL_DECLARED
#define TclBN_mp_copy_TCL_DECLARED
/* 11 */
EXTERN int		TclBN_mp_copy(mp_int *a, mp_int *b);
#endif
#ifndef TclBN_mp_count_bits_TCL_DECLARED
................................................................................
#define TclBN_mp_neg_TCL_DECLARED
/* 33 */
EXTERN int		TclBN_mp_neg(mp_int *a, mp_int *b);
#endif
#ifndef TclBN_mp_or_TCL_DECLARED
#define TclBN_mp_or_TCL_DECLARED
/* 34 */
EXTERN int		TclBN_mp_or(CONST mp_int *a, CONST mp_int *b,
				mp_int *c);
#endif
#ifndef TclBN_mp_radix_size_TCL_DECLARED
#define TclBN_mp_radix_size_TCL_DECLARED
/* 35 */
EXTERN int		TclBN_mp_radix_size(mp_int *a, int radix, int *size);
#endif
#ifndef TclBN_mp_read_radix_TCL_DECLARED
................................................................................
#define TclBN_mp_unsigned_bin_size_TCL_DECLARED
/* 47 */
EXTERN int		TclBN_mp_unsigned_bin_size(mp_int *a);
#endif
#ifndef TclBN_mp_xor_TCL_DECLARED
#define TclBN_mp_xor_TCL_DECLARED
/* 48 */
EXTERN int		TclBN_mp_xor(CONST mp_int *a, CONST mp_int *b,
				mp_int *c);
#endif
#ifndef TclBN_mp_zero_TCL_DECLARED
#define TclBN_mp_zero_TCL_DECLARED
/* 49 */
EXTERN void		TclBN_mp_zero(mp_int *a);
#endif
#ifndef TclBN_reverse_TCL_DECLARED
................................................................................
    int magic;
    struct TclTomMathStubHooks *hooks;

    int (*tclBN_epoch) (void); /* 0 */
    int (*tclBN_revision) (void); /* 1 */
    int (*tclBN_mp_add) (mp_int *a, mp_int *b, mp_int *c); /* 2 */
    int (*tclBN_mp_add_d) (mp_int *a, mp_digit b, mp_int *c); /* 3 */
    int (*tclBN_mp_and) (CONST mp_int *a, CONST mp_int *b, mp_int *c); /* 4 */
    void (*tclBN_mp_clamp) (mp_int *a); /* 5 */
    void (*tclBN_mp_clear) (mp_int *a); /* 6 */
    void (*tclBN_mp_clear_multi) (mp_int *a, ...); /* 7 */
    int (*tclBN_mp_cmp) (CONST mp_int *a, CONST mp_int *b); /* 8 */
    int (*tclBN_mp_cmp_d) (CONST mp_int *a, mp_digit b); /* 9 */
    int (*tclBN_mp_cmp_mag) (CONST mp_int *a, CONST mp_int *b); /* 10 */
    int (*tclBN_mp_copy) (mp_int *a, mp_int *b); /* 11 */
    int (*tclBN_mp_count_bits) (mp_int *a); /* 12 */
    int (*tclBN_mp_div) (mp_int *a, mp_int *b, mp_int *q, mp_int *r); /* 13 */
    int (*tclBN_mp_div_d) (mp_int *a, mp_digit b, mp_int *q, mp_digit *r); /* 14 */
    int (*tclBN_mp_div_2) (mp_int *a, mp_int *q); /* 15 */
    int (*tclBN_mp_div_2d) (mp_int *a, int b, mp_int *q, mp_int *r); /* 16 */
    int (*tclBN_mp_div_3) (mp_int *a, mp_int *q, mp_digit *r); /* 17 */
................................................................................
    int (*tclBN_mp_mod) (mp_int *a, mp_int *b, mp_int *r); /* 27 */
    int (*tclBN_mp_mod_2d) (mp_int *a, int b, mp_int *r); /* 28 */
    int (*tclBN_mp_mul) (mp_int *a, mp_int *b, mp_int *p); /* 29 */
    int (*tclBN_mp_mul_d) (mp_int *a, mp_digit b, mp_int *p); /* 30 */
    int (*tclBN_mp_mul_2) (mp_int *a, mp_int *p); /* 31 */
    int (*tclBN_mp_mul_2d) (mp_int *a, int d, mp_int *p); /* 32 */
    int (*tclBN_mp_neg) (mp_int *a, mp_int *b); /* 33 */
    int (*tclBN_mp_or) (CONST mp_int *a, CONST mp_int *b, mp_int *c); /* 34 */
    int (*tclBN_mp_radix_size) (mp_int *a, int radix, int *size); /* 35 */
    int (*tclBN_mp_read_radix) (mp_int *a, CONST char *str, int radix); /* 36 */
    void (*tclBN_mp_rshd) (mp_int *a, int shift); /* 37 */
    int (*tclBN_mp_shrink) (mp_int *a); /* 38 */
    void (*tclBN_mp_set) (mp_int *a, mp_digit b); /* 39 */
    int (*tclBN_mp_sqr) (mp_int *a, mp_int *b); /* 40 */
    int (*tclBN_mp_sqrt) (mp_int *a, mp_int *b); /* 41 */
    int (*tclBN_mp_sub) (mp_int *a, mp_int *b, mp_int *c); /* 42 */
    int (*tclBN_mp_sub_d) (mp_int *a, mp_digit b, mp_int *c); /* 43 */
    int (*tclBN_mp_to_unsigned_bin) (mp_int *a, unsigned char *b); /* 44 */
    int (*tclBN_mp_to_unsigned_bin_n) (mp_int *a, unsigned char *b, unsigned long *outlen); /* 45 */
    int (*tclBN_mp_toradix_n) (mp_int *a, char *str, int radix, int maxlen); /* 46 */
    int (*tclBN_mp_unsigned_bin_size) (mp_int *a); /* 47 */
    int (*tclBN_mp_xor) (CONST mp_int *a, CONST mp_int *b, mp_int *c); /* 48 */
    void (*tclBN_mp_zero) (mp_int *a); /* 49 */
    void (*tclBN_reverse) (unsigned char *s, int len); /* 50 */
    int (*tclBN_fast_s_mp_mul_digs) (mp_int *a, mp_int *b, mp_int *c, int digs); /* 51 */
    int (*tclBN_fast_s_mp_sqr) (mp_int *a, mp_int *b); /* 52 */
    int (*tclBN_mp_karatsuba_mul) (mp_int *a, mp_int *b, mp_int *c); /* 53 */
    int (*tclBN_mp_karatsuba_sqr) (mp_int *a, mp_int *b); /* 54 */
    int (*tclBN_mp_toom_mul) (mp_int *a, mp_int *b, mp_int *c); /* 55 */

#include <tommath.h>
#ifdef BN_MP_AND_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis

 *
 * LibTomMath is a library that provides multiple-precision
 * integer arithmetic as well as number theoretic functionality.
 *
 * The library was designed directly after the MPI library by

 * Michael Fromberger but has been written from scratch with
 * additional optimizations in place.
 *

 * The library is free for all purposes without any express
 * guarantee it works.
 *

 * Tom St Denis, [email protected], http://math.libtomcrypt.com
 */


/* AND two ints together */
int
mp_and (mp_int * a, mp_int * b, mp_int * c)

{
  int     res, ix, px;
  mp_int  t, *x;





  if (a->used > b->used) {
    if ((res = mp_init_copy (&t, a)) != MP_OKAY) {
      return res;
    }
    px = b->used;
    x = b;

  } else {
    if ((res = mp_init_copy (&t, b)) != MP_OKAY) {
      return res;

    }
    px = a->used;
    x = a;
  }








  for (ix = 0; ix < px; ix++) {
    t.dp[ix] &= x->dp[ix];
  }


  /* zero digits above the last from the smallest mp_int */
  for (; ix < t.used; ix++) {
    t.dp[ix] = 0;


  }




  mp_clamp (&t);
  mp_exch (c, &t);
  mp_clear (&t);
  return MP_OKAY;
}
#endif

#include <tommath.h>
#ifdef BN_MP_AND_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */


/* two complement and */
mp_err mp_and(const mp_int *a, const mp_int *b, mp_int *c)

{
   int used = MAX(a->used, b->used) + 1, i;
   mp_err err;

   mp_digit ac = 1, bc = 1, cc = 1;
   mp_sign csign = ((a->sign == MP_NEG) && (b->sign == MP_NEG)) ? MP_NEG : MP_ZPOS;


   if (c->alloc < used) {
      if ((err = mp_grow(c, used)) != MP_OKAY) {

         return err;
      }



   }



   for (i = 0; i < used; i++) {
      mp_digit x, y;

      /* convert to two complement if negative */
      if (a->sign == MP_NEG) {
         ac += (i >= a->used) ? MP_MASK : (~a->dp[i] & MP_MASK);




         x = ac & MP_MASK;
         ac >>= MP_DIGIT_BIT;
      } else {


         x = (i >= a->used) ? 0uL : a->dp[i];
      }



      /* convert to two complement if negative */
      if (b->sign == MP_NEG) {
         bc += (i >= b->used) ? MP_MASK : (~b->dp[i] & MP_MASK);
         y = bc & MP_MASK;
         bc >>= MP_DIGIT_BIT;
      } else {
         y = (i >= b->used) ? 0uL : b->dp[i];
      }



      c->dp[i] = x & y;

      /* convert to to sign-magnitude if negative */
      if (csign == MP_NEG) {
         cc += ~c->dp[i] & MP_MASK;
         c->dp[i] = cc & MP_MASK;
         cc >>= MP_DIGIT_BIT;
      }
   }

   c->used = used;
   c->sign = csign;
   mp_clamp(c);


   return MP_OKAY;
}
#endif

#include <tommath.h>
#ifdef BN_MP_CMP_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis
 *
 * LibTomMath is a library that provides multiple-precision
 * integer arithmetic as well as number theoretic functionality.
 *
 * The library was designed directly after the MPI library by
 * Michael Fromberger but has been written from scratch with
 * additional optimizations in place.
 *
 * The library is free for all purposes without any express
 * guarantee it works.
 *
 * Tom St Denis, [email protected], http://math.libtomcrypt.com
 */

/* compare two ints (signed)*/
int
mp_cmp (mp_int * a, mp_int * b)

{
  /* compare based on sign */
  if (a->sign != b->sign) {
     if (a->sign == MP_NEG) {
        return MP_LT;
     } else {
        return MP_GT;
     }
  }
  
  /* compare digits */
  if (a->sign == MP_NEG) {
     /* if negative compare opposite direction */
     return mp_cmp_mag(b, a);
  } else {
     return mp_cmp_mag(a, b);
  }
}
#endif

#include <tommath.h>
#ifdef BN_MP_CMP_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */













/* compare two ints (signed)*/


mp_ord mp_cmp(const mp_int *a, const mp_int *b)
{
   /* compare based on sign */
   if (a->sign != b->sign) {
      if (a->sign == MP_NEG) {
         return MP_LT;
      } else {
         return MP_GT;
      }
   }

   /* compare digits */
   if (a->sign == MP_NEG) {
      /* if negative compare opposite direction */
      return mp_cmp_mag(b, a);
   } else {
      return mp_cmp_mag(a, b);
   }
}
#endif

#include <tommath.h>
#ifdef BN_MP_CMP_D_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis
 *
 * LibTomMath is a library that provides multiple-precision
 * integer arithmetic as well as number theoretic functionality.
 *
 * The library was designed directly after the MPI library by
 * Michael Fromberger but has been written from scratch with
 * additional optimizations in place.
 *
 * The library is free for all purposes without any express
 * guarantee it works.
 *
 * Tom St Denis, [email protected], http://math.libtomcrypt.com
 */

/* compare a digit */
int mp_cmp_d(mp_int * a, mp_digit b)

{
  /* compare based on sign */
  if (a->sign == MP_NEG) {
    return MP_LT;
  }

  /* compare based on magnitude */
  if (a->used > 1) {
    return MP_GT;
  }

  /* compare the only digit of a to b */
  if (a->dp[0] > b) {
    return MP_GT;
  } else if (a->dp[0] < b) {
    return MP_LT;
  } else {
    return MP_EQ;
  }
}
#endif

#include <tommath.h>
#ifdef BN_MP_CMP_D_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */













/* compare a digit */

mp_ord mp_cmp_d(const mp_int *a, mp_digit b)
{
   /* compare based on sign */
   if (a->sign == MP_NEG) {
      return MP_LT;
   }

   /* compare based on magnitude */
   if (a->used > 1) {
      return MP_GT;
   }

   /* compare the only digit of a to b */
   if (a->dp[0] > b) {
      return MP_GT;
   } else if (a->dp[0] < b) {
      return MP_LT;
   } else {
      return MP_EQ;
   }
}
#endif

#include <tommath.h>
#ifdef BN_MP_CMP_MAG_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis
 *
 * LibTomMath is a library that provides multiple-precision
 * integer arithmetic as well as number theoretic functionality.
 *
 * The library was designed directly after the MPI library by
 * Michael Fromberger but has been written from scratch with
 * additional optimizations in place.
 *
 * The library is free for all purposes without any express
 * guarantee it works.
 *
 * Tom St Denis, [email protected], http://math.libtomcrypt.com
 */

/* compare maginitude of two ints (unsigned) */
int mp_cmp_mag (mp_int * a, mp_int * b)

{
  int     n;
  mp_digit *tmpa, *tmpb;

  /* compare based on # of non-zero digits */
  if (a->used > b->used) {
    return MP_GT;
  }
  
  if (a->used < b->used) {
    return MP_LT;
  }

  /* alias for a */
  tmpa = a->dp + (a->used - 1);

  /* alias for b */
  tmpb = b->dp + (a->used - 1);

  /* compare based on digits  */
  for (n = 0; n < a->used; ++n, --tmpa, --tmpb) {
    if (*tmpa > *tmpb) {
      return MP_GT;
    }

    if (*tmpa < *tmpb) {
      return MP_LT;
    }
  }
  return MP_EQ;
}
#endif

#include <tommath.h>
#ifdef BN_MP_CMP_MAG_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */













/* compare maginitude of two ints (unsigned) */

mp_ord mp_cmp_mag(const mp_int *a, const mp_int *b)
{
   int     n;
   const mp_digit *tmpa, *tmpb;

   /* compare based on # of non-zero digits */
   if (a->used > b->used) {
      return MP_GT;
   }

   if (a->used < b->used) {
      return MP_LT;
   }

   /* alias for a */
   tmpa = a->dp + (a->used - 1);

   /* alias for b */
   tmpb = b->dp + (a->used - 1);

   /* compare based on digits  */
   for (n = 0; n < a->used; ++n, --tmpa, --tmpb) {
      if (*tmpa > *tmpb) {
         return MP_GT;
      }

      if (*tmpa < *tmpb) {
         return MP_LT;
      }
   }
   return MP_EQ;
}
#endif

#include <tommath.h>
#ifdef BN_MP_OR_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis

 *
 * LibTomMath is a library that provides multiple-precision
 * integer arithmetic as well as number theoretic functionality.
 *
 * The library was designed directly after the MPI library by

 * Michael Fromberger but has been written from scratch with
 * additional optimizations in place.
 *

 * The library is free for all purposes without any express
 * guarantee it works.
 *

 * Tom St Denis, [email protected], http://math.libtomcrypt.com
 */


/* OR two ints together */
int mp_or (mp_int * a, mp_int * b, mp_int * c)

{

  int     res, ix, px;
  mp_int  t, *x;


  if (a->used > b->used) {
    if ((res = mp_init_copy (&t, a)) != MP_OKAY) {
      return res;



    }
    px = b->used;




    x = b;

  } else {
    if ((res = mp_init_copy (&t, b)) != MP_OKAY) {
      return res;

    }
    px = a->used;
    x = a;
  }


  for (ix = 0; ix < px; ix++) {
    t.dp[ix] |= x->dp[ix];





  }




  mp_clamp (&t);
  mp_exch (c, &t);
  mp_clear (&t);
  return MP_OKAY;
}
#endif

#include <tommath.h>
#ifdef BN_MP_OR_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */


/* two complement or */
mp_err mp_or(const mp_int *a, const mp_int *b, mp_int *c)

{
   int used = MAX(a->used, b->used) + 1, i;
   mp_err err;

   mp_digit ac = 1, bc = 1, cc = 1;
   mp_sign csign = ((a->sign == MP_NEG) || (b->sign == MP_NEG)) ? MP_NEG : MP_ZPOS;


   if (c->alloc < used) {
      if ((err = mp_grow(c, used)) != MP_OKAY) {

         return err;
      }


   }

   for (i = 0; i < used; i++) {
      mp_digit x, y;


      /* convert to two complement if negative */
      if (a->sign == MP_NEG) {
         ac += (i >= a->used) ? MP_MASK : (~a->dp[i] & MP_MASK);
         x = ac & MP_MASK;
         ac >>= MP_DIGIT_BIT;
      } else {
         x = (i >= a->used) ? 0uL : a->dp[i];
      }


      /* convert to two complement if negative */
      if (b->sign == MP_NEG) {
         bc += (i >= b->used) ? MP_MASK : (~b->dp[i] & MP_MASK);
         y = bc & MP_MASK;
         bc >>= MP_DIGIT_BIT;
      } else {


         y = (i >= b->used) ? 0uL : b->dp[i];
      }



      c->dp[i] = x | y;



      /* convert to to sign-magnitude if negative */
      if (csign == MP_NEG) {
         cc += ~c->dp[i] & MP_MASK;
         c->dp[i] = cc & MP_MASK;
         cc >>= MP_DIGIT_BIT;
      }
   }

   c->used = used;
   c->sign = csign;
   mp_clamp(c);


   return MP_OKAY;
}
#endif

#include <tommath.h>
#ifdef BN_MP_XOR_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis

 *
 * LibTomMath is a library that provides multiple-precision
 * integer arithmetic as well as number theoretic functionality.






 *
 * The library was designed directly after the MPI library by
 * Michael Fromberger but has been written from scratch with
 * additional optimizations in place.





 *
 * The library is free for all purposes without any express
 * guarantee it works.


 *
 * Tom St Denis, [email protected], http://math.libtomcrypt.com
 */








/* XOR two ints together */
int
mp_xor (mp_int * a, mp_int * b, mp_int * c)
{
  int     res, ix, px;
  mp_int  t, *x;








  if (a->used > b->used) {
    if ((res = mp_init_copy (&t, a)) != MP_OKAY) {
      return res;
    }
    px = b->used;
    x = b;
  } else {
    if ((res = mp_init_copy (&t, b)) != MP_OKAY) {
      return res;

    }
    px = a->used;
    x = a;





  }

  for (ix = 0; ix < px; ix++) {
     t.dp[ix] ^= x->dp[ix];
  }


  mp_clamp (&t);
  mp_exch (c, &t);
  mp_clear (&t);
  return MP_OKAY;
}
#endif

#include <tommath.h>
#ifdef BN_MP_XOR_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */


/* two complement xor */
mp_err mp_xor(const mp_int *a, const mp_int *b, mp_int *c)
{
   int used = MAX(a->used, b->used) + 1, i;
   mp_err err;
   mp_digit ac = 1, bc = 1, cc = 1;
   mp_sign csign = (a->sign != b->sign) ? MP_NEG : MP_ZPOS;




   if (c->alloc < used) {
      if ((err = mp_grow(c, used)) != MP_OKAY) {
         return err;
      }
   }



   for (i = 0; i < used; i++) {
      mp_digit x, y;



      /* convert to two complement if negative */
      if (a->sign == MP_NEG) {
         ac += (i >= a->used) ? MP_MASK : (~a->dp[i] & MP_MASK);
         x = ac & MP_MASK;
         ac >>= MP_DIGIT_BIT;
      } else {
         x = (i >= a->used) ? 0uL : a->dp[i];
      }






      /* convert to two complement if negative */
      if (b->sign == MP_NEG) {
         bc += (i >= b->used) ? MP_MASK : (~b->dp[i] & MP_MASK);
         y = bc & MP_MASK;
         bc >>= MP_DIGIT_BIT;
      } else {
         y = (i >= b->used) ? 0uL : b->dp[i];
      }









      c->dp[i] = x ^ y;



      /* convert to to sign-magnitude if negative */
      if (csign == MP_NEG) {
         cc += ~c->dp[i] & MP_MASK;
         c->dp[i] = cc & MP_MASK;
         cc >>= MP_DIGIT_BIT;
      }
   }



   c->used = used;
   c->sign = csign;
   mp_clamp(c);


   return MP_OKAY;
}
#endif

/* LibTomMath, multiple-precision integer library -- Tom St Denis
 *
 * LibTomMath is a library that provides multiple-precision
 * integer arithmetic as well as number theoretic functionality.
 *
 * The library was designed directly after the MPI library by
 * Michael Fromberger but has been written from scratch with
 * additional optimizations in place.
 *
 * The library is free for all purposes without any express
 * guarantee it works.
 *
 * Tom St Denis, [email protected], http://math.libtomcrypt.com
 */
#ifndef BN_H_
#define BN_H_

#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <ctype.h>
#include <limits.h>

#include <tommath_class.h>

#ifndef MIN
   #define MIN(x,y) ((x)<(y)?(x):(y))
#endif

#ifndef MAX
   #define MAX(x,y) ((x)>(y)?(x):(y))
#endif





#ifdef __cplusplus
extern "C" {

/* C++ compilers don't like assigning void * to mp_digit * */
#define  OPT_CAST(x)  (x *)

................................................................................
   #define DIGIT_BIT     ((int)((CHAR_BIT * sizeof(mp_digit) - 1)))  /* bits per digit */
#endif

#define MP_DIGIT_BIT     DIGIT_BIT
#define MP_MASK          ((((mp_digit)1)<<((mp_digit)DIGIT_BIT))-((mp_digit)1))
#define MP_DIGIT_MAX     MP_MASK

/* equalities */
#define MP_LT        -1   /* less than */
#define MP_EQ         0   /* equal to */
#define MP_GT         1   /* greater than */
























#define MP_ZPOS       0   /* positive integer */
#define MP_NEG        1   /* negative */









#define MP_OKAY       0   /* ok result */

#define MP_MEM        -2  /* out of mem */
#define MP_VAL        -3  /* invalid input */
#define MP_RANGE      MP_VAL



#define MP_YES        1   /* yes response */
#define MP_NO         0   /* no response */


/* Primality generation flags */
#define LTM_PRIME_BBS      0x0001 /* BBS style prime */
#define LTM_PRIME_SAFE     0x0002 /* Safe prime (p-1)/2 == prime */
#define LTM_PRIME_2MSB_ON  0x0008 /* force 2nd MSB to 1 */

typedef int           mp_err;

/* you'll have to tune these... */


extern int KARATSUBA_MUL_CUTOFF,
           KARATSUBA_SQR_CUTOFF,
           TOOM_MUL_CUTOFF,
           TOOM_SQR_CUTOFF;


/* define this to use lower memory usage routines (exptmods mostly) */
/* #define MP_LOW_MEM */

/* default precision */
#ifndef MP_PREC
   #ifndef MP_LOW_MEM
      #define MP_PREC                 32     /* default digits of precision */


   #else
      #define MP_PREC                 8      /* default digits of precision */
   #endif   
#endif

/* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */
#define MP_WARRAY               (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1))

/* the infamous mp_int structure */
typedef struct  {
    int used, alloc, sign;

    mp_digit *dp;
} mp_int;

/* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */
typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat);


#define USED(m)    ((m)->used)
#define DIGIT(m,k) ((m)->dp[(k)])
#define SIGN(m)    ((m)->sign)

/* error code to char* string */
char *mp_error_to_string(int code);

/* ---> init and deinit bignum functions <--- */
/* init a bignum */
int mp_init(mp_int *a);

/* free a bignum */
void mp_clear(mp_int *a);

/* init a null terminated series of arguments */
int mp_init_multi(mp_int *mp, ...);

/* clear a null terminated series of arguments */
void mp_clear_multi(mp_int *mp, ...);

/* exchange two ints */
void mp_exch(mp_int *a, mp_int *b);

/* shrink ram required for a bignum */
int mp_shrink(mp_int *a);

/* grow an int to a given size */
int mp_grow(mp_int *a, int size);

/* init to a given number of digits */
int mp_init_size(mp_int *a, int size);

/* ---> Basic Manipulations <--- */
#define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO)
#define mp_iseven(a) (((a)->used == 0 || (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO)
#define mp_isodd(a)  (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO)


/* set to zero */
void mp_zero(mp_int *a);

/* set to a digit */
void mp_set(mp_int *a, mp_digit b);

................................................................................
/* initialize and set a digit */
int mp_init_set (mp_int * a, mp_digit b);

/* initialize and set 32-bit value */
int mp_init_set_int (mp_int * a, unsigned long b);

/* copy, b = a */
int mp_copy(mp_int *a, mp_int *b);

/* inits and copies, a = b */
int mp_init_copy(mp_int *a, mp_int *b);

/* trim unused digits */
void mp_clamp(mp_int *a);







/* ---> digit manipulation <--- */

/* right shift by "b" digits */
void mp_rshd(mp_int *a, int b);

/* left shift by "b" digits */
int mp_lshd(mp_int *a, int b);

/* c = a / 2**b */
int mp_div_2d(mp_int *a, int b, mp_int *c, mp_int *d);

/* b = a/2 */
int mp_div_2(mp_int *a, mp_int *b);

/* c = a * 2**b */
int mp_mul_2d(mp_int *a, int b, mp_int *c);

/* b = a*2 */
int mp_mul_2(mp_int *a, mp_int *b);

/* c = a mod 2**d */
int mp_mod_2d(mp_int *a, int b, mp_int *c);

/* computes a = 2**b */
int mp_2expt(mp_int *a, int b);

/* Counts the number of lsbs which are zero before the first zero bit */
int mp_cnt_lsb(mp_int *a);

/* I Love Earth! */

/* makes a pseudo-random int of a given size */
int mp_rand(mp_int *a, int digits);

/* ---> binary operations <--- */
/* c = a XOR b  */
int mp_xor(mp_int *a, mp_int *b, mp_int *c);

/* c = a OR b */
int mp_or(mp_int *a, mp_int *b, mp_int *c);

/* c = a AND b */
int mp_and(mp_int *a, mp_int *b, mp_int *c);

/* ---> Basic arithmetic <--- */

/* b = -a */
int mp_neg(mp_int *a, mp_int *b);

/* b = |a| */
int mp_abs(mp_int *a, mp_int *b);

/* compare a to b */
int mp_cmp(mp_int *a, mp_int *b);

/* compare |a| to |b| */
int mp_cmp_mag(mp_int *a, mp_int *b);

/* c = a + b */
int mp_add(mp_int *a, mp_int *b, mp_int *c);

/* c = a - b */
int mp_sub(mp_int *a, mp_int *b, mp_int *c);

/* c = a * b */
int mp_mul(mp_int *a, mp_int *b, mp_int *c);

/* b = a*a  */
int mp_sqr(mp_int *a, mp_int *b);

/* a/b => cb + d == a */
int mp_div(mp_int *a, mp_int *b, mp_int *c, mp_int *d);

/* c = a mod b, 0 <= c < b  */
int mp_mod(mp_int *a, mp_int *b, mp_int *c);

/* ---> single digit functions <--- */

/* compare against a single digit */
int mp_cmp_d(mp_int *a, mp_digit b);

/* c = a + b */
int mp_add_d(mp_int *a, mp_digit b, mp_int *c);




/* c = a - b */
int mp_sub_d(mp_int *a, mp_digit b, mp_int *c);




/* c = a * b */
int mp_mul_d(mp_int *a, mp_digit b, mp_int *c);

/* a/b => cb + d == a */
int mp_div_d(mp_int *a, mp_digit b, mp_int *c, mp_digit *d);

/* a/3 => 3c + d == a */
int mp_div_3(mp_int *a, mp_int *c, mp_digit *d);

/* c = a**b */
int mp_expt_d(mp_int *a, mp_digit b, mp_int *c);

/* c = a mod b, 0 <= c < b  */
int mp_mod_d(mp_int *a, mp_digit b, mp_digit *c);

/* ---> number theory <--- */

/* d = a + b (mod c) */
int mp_addmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d);

/* d = a - b (mod c) */
int mp_submod(mp_int *a, mp_int *b, mp_int *c, mp_int *d);

/* d = a * b (mod c) */
int mp_mulmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d);

/* c = a * a (mod b) */
int mp_sqrmod(mp_int *a, mp_int *b, mp_int *c);

/* c = 1/a (mod b) */
int mp_invmod(mp_int *a, mp_int *b, mp_int *c);

/* c = (a, b) */
int mp_gcd(mp_int *a, mp_int *b, mp_int *c);

/* produces value such that U1*a + U2*b = U3 */
int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3);

/* c = [a, b] or (a*b)/(a, b) */
int mp_lcm(mp_int *a, mp_int *b, mp_int *c);

/* finds one of the b'th root of a, such that |c|**b <= |a|
 *
 * returns error if a < 0 and b is even
 */
int mp_n_root(mp_int *a, mp_digit b, mp_int *c);

/* special sqrt algo */
int mp_sqrt(mp_int *arg, mp_int *ret);

/* is number a square? */
int mp_is_square(mp_int *arg, int *ret);

/* computes the jacobi c = (a | n) (or Legendre if b is prime)  */
int mp_jacobi(mp_int *a, mp_int *n, int *c);

/* used to setup the Barrett reduction for a given modulus b */
int mp_reduce_setup(mp_int *a, mp_int *b);

/* Barrett Reduction, computes a (mod b) with a precomputed value c
 *
 * Assumes that 0 < a <= b*b, note if 0 > a > -(b*b) then you can merely
 * compute the reduction as -1 * mp_reduce(mp_abs(a)) [pseudo code].
 */
int mp_reduce(mp_int *a, mp_int *b, mp_int *c);

/* setups the montgomery reduction */
int mp_montgomery_setup(mp_int *a, mp_digit *mp);

/* computes a = B**n mod b without division or multiplication useful for
 * normalizing numbers in a Montgomery system.
 */
int mp_montgomery_calc_normalization(mp_int *a, mp_int *b);

/* computes x/R == x (mod N) via Montgomery Reduction */
int mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp);

/* returns 1 if a is a valid DR modulus */
int mp_dr_is_modulus(mp_int *a);

/* sets the value of "d" required for mp_dr_reduce */
void mp_dr_setup(mp_int *a, mp_digit *d);

/* reduces a modulo b using the Diminished Radix method */
int mp_dr_reduce(mp_int *a, mp_int *b, mp_digit mp);

/* returns true if a can be reduced with mp_reduce_2k */
int mp_reduce_is_2k(mp_int *a);

/* determines k value for 2k reduction */
int mp_reduce_2k_setup(mp_int *a, mp_digit *d);

/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */
int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d);

/* returns true if a can be reduced with mp_reduce_2k_l */
int mp_reduce_is_2k_l(mp_int *a);

/* determines k value for 2k reduction */
int mp_reduce_2k_setup_l(mp_int *a, mp_int *d);

/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */
int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d);

/* d = a**b (mod c) */
int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d);

/* ---> Primes <--- */

/* number of primes */
#ifdef MP_8BIT
   #define PRIME_SIZE      31
#else
................................................................................
   #define PRIME_SIZE      256
#endif

/* table of first PRIME_SIZE primes */
extern const mp_digit ltm_prime_tab[];

/* result=1 if a is divisible by one of the first PRIME_SIZE primes */
int mp_prime_is_divisible(mp_int *a, int *result);

/* performs one Fermat test of "a" using base "b".
 * Sets result to 0 if composite or 1 if probable prime
 */
int mp_prime_fermat(mp_int *a, mp_int *b, int *result);

/* performs one Miller-Rabin test of "a" using base "b".
 * Sets result to 0 if composite or 1 if probable prime
 */
int mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result);

/* This gives [for a given bit size] the number of trials required
 * such that Miller-Rabin gives a prob of failure lower than 2^-96 
 */
int mp_prime_rabin_miller_trials(int size);











/* performs t rounds of Miller-Rabin on "a" using the first
 * t prime bases.  Also performs an initial sieve of trial
 * division.  Determines if "a" is prime with probability
 * of error no more than (1/4)**t.







 *
 * Sets result to 1 if probably prime, 0 otherwise
 */
int mp_prime_is_prime(mp_int *a, int t, int *result);

/* finds the next prime after the number "a" using "t" trials
 * of Miller-Rabin.
 *
 * bbs_style = 1 means the prime must be congruent to 3 mod 4
 */
int mp_prime_next_prime(mp_int *a, int t, int bbs_style);

/* makes a truly random prime of a given size (bytes),
 * call with bbs = 1 if you want it to be congruent to 3 mod 4 
 *
 * You have to supply a callback which fills in a buffer with random bytes.  "dat" is a parameter you can
 * have passed to the callback (e.g. a state or something).  This function doesn't use "dat" itself
 * so it can be NULL
 *
 * The prime generated will be larger than 2^(8*size).
 */
#define mp_prime_random(a, t, size, bbs, cb, dat) mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat)

/* makes a truly random prime of a given size (bits),
 *
 * Flags are as follows:
 * 
 *   LTM_PRIME_BBS      - make prime congruent to 3 mod 4
 *   LTM_PRIME_SAFE     - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS)
 *   LTM_PRIME_2MSB_ON  - make the 2nd highest bit one
 *
 * You have to supply a callback which fills in a buffer with random bytes.  "dat" is a parameter you can
 * have passed to the callback (e.g. a state or something).  This function doesn't use "dat" itself
 * so it can be NULL
 *
 */
int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat);




/* ---> radix conversion <--- */
int mp_count_bits(mp_int *a);

int mp_unsigned_bin_size(mp_int *a);
int mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c);
int mp_to_unsigned_bin(mp_int *a, unsigned char *b);
int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen);

int mp_signed_bin_size(mp_int *a);
int mp_read_signed_bin(mp_int *a, const unsigned char *b, int c);
int mp_to_signed_bin(mp_int *a,  unsigned char *b);
int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen);

int mp_read_radix(mp_int *a, const char *str, int radix);
int mp_toradix(mp_int *a, char *str, int radix);
int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen);
int mp_radix_size(mp_int *a, int radix, int *size);


int mp_fread(mp_int *a, int radix, FILE *stream);
int mp_fwrite(mp_int *a, int radix, FILE *stream);


#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len))
#define mp_raw_size(mp)           mp_signed_bin_size(mp)
#define mp_toraw(mp, str)         mp_to_signed_bin((mp), (str))
#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len))
#define mp_mag_size(mp)           mp_unsigned_bin_size(mp)
#define mp_tomag(mp, str)         mp_to_unsigned_bin((mp), (str))

/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */












#ifndef BN_H_
#define BN_H_


#include <string.h>
#include <stdlib.h>
#include <ctype.h>
#include <limits.h>



#ifndef MIN
   #define MIN(x,y) ((x)<(y)?(x):(y))
#endif

#ifndef MAX
   #define MAX(x,y) ((x)>(y)?(x):(y))
#endif

#ifndef MP_NO_FILE
#  include <stdio.h>
#endif

#ifdef __cplusplus
extern "C" {

/* C++ compilers don't like assigning void * to mp_digit * */
#define  OPT_CAST(x)  (x *)

................................................................................
   #define DIGIT_BIT     ((int)((CHAR_BIT * sizeof(mp_digit) - 1)))  /* bits per digit */
#endif

#define MP_DIGIT_BIT     DIGIT_BIT
#define MP_MASK          ((((mp_digit)1)<<((mp_digit)DIGIT_BIT))-((mp_digit)1))
#define MP_DIGIT_MAX     MP_MASK

/* Primality generation flags */
#define LTM_PRIME_BBS      0x0001 /* BBS style prime */
#define LTM_PRIME_SAFE     0x0002 /* Safe prime (p-1)/2 == prime */
#define LTM_PRIME_2MSB_ON  0x0008 /* force 2nd MSB to 1 */

#ifdef MP_USE_ENUMS
typedef enum {
   MP_ZPOS = 0,
   MP_NEG = 1
} mp_sign;
typedef enum {
   MP_LT = -1,
   MP_EQ = 0,
   MP_GT = 1
} mp_ord;
typedef enum {
   MP_NO = 0,
   MP_YES = 1
} mp_bool;
typedef enum {
   MP_OKAY  = 0,
   MP_ERR   = -1,
   MP_MEM   = -2,
   MP_VAL   = -3,
   MP_ITER  = -4
} mp_err;
#else
typedef int mp_sign;
#define MP_ZPOS       0   /* positive integer */
#define MP_NEG        1   /* negative */

typedef int mp_ord;
#define MP_LT        -1   /* less than */
#define MP_EQ         0   /* equal to */
#define MP_GT         1   /* greater than */
typedef int mp_bool;
#define MP_YES        1   /* yes response */
#define MP_NO         0   /* no response */
typedef int mp_err;
#define MP_OKAY       0   /* ok result */
#define MP_ERR        -1  /* unknown error */
#define MP_MEM        -2  /* out of mem */
#define MP_VAL        -3  /* invalid input */
#define MP_RANGE      MP_VAL
#define MP_ITER       -4  /* Max. iterations reached */
#endif



/* tunable cutoffs */









#ifndef MP_FIXED_CUTOFFS
extern int
KARATSUBA_MUL_CUTOFF,
KARATSUBA_SQR_CUTOFF,
TOOM_MUL_CUTOFF,
TOOM_SQR_CUTOFF;
#endif

/* define this to use lower memory usage routines (exptmods mostly) */
/* #define MP_LOW_MEM */

/* default precision */
#ifndef MP_PREC
#   ifndef MP_LOW_MEM
#      define MP_PREC 32        /* default digits of precision */
#   elif defined(MP_8BIT)
#      define MP_PREC 16        /* default digits of precision */
#   else
#      define MP_PREC 8         /* default digits of precision */
#   endif
#endif

/* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */
#define MP_WARRAY               (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1))

/* the infamous mp_int structure */
typedef struct  {
   int used, alloc;
   mp_sign sign;
   mp_digit *dp;
} mp_int;

/* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */
typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat);


#define USED(m)    ((m)->used)
#define DIGIT(m,k) ((m)->dp[(k)])
#define SIGN(m)    ((m)->sign)

/* error code to char* string */
const char *mp_error_to_string(mp_err code);

/* ---> init and deinit bignum functions <--- */
/* init a bignum */
mp_err mp_init(mp_int *a);

/* free a bignum */
void mp_clear(mp_int *a);

/* init a null terminated series of arguments */
mp_err mp_init_multi(mp_int *mp, ...);

/* clear a null terminated series of arguments */
void mp_clear_multi(mp_int *mp, ...);

/* exchange two ints */
void mp_exch(mp_int *a, mp_int *b);

/* shrink ram required for a bignum */
mp_err mp_shrink(mp_int *a);

/* grow an int to a given size */
mp_err mp_grow(mp_int *a, int size);

/* init to a given number of digits */
mp_err mp_init_size(mp_int *a, int size);

/* ---> Basic Manipulations <--- */
#define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO)
#define mp_iseven(a) (((a)->used == 0 || (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO)
#define mp_isodd(a)  (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO)
#define mp_isneg(a)  (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO)

/* set to zero */
void mp_zero(mp_int *a);

/* set to a digit */
void mp_set(mp_int *a, mp_digit b);

................................................................................
/* initialize and set a digit */
int mp_init_set (mp_int * a, mp_digit b);

/* initialize and set 32-bit value */
int mp_init_set_int (mp_int * a, unsigned long b);

/* copy, b = a */
mp_err mp_copy(const mp_int *a, mp_int *b);

/* inits and copies, a = b */
mp_err mp_init_copy(mp_int *a, const mp_int *b);

/* trim unused digits */
void mp_clamp(mp_int *a);

/* import binary data */
mp_err mp_import(mp_int *rop, size_t count, int order, size_t size, int endian, size_t nails, const void *op);

/* export binary data */
mp_err mp_export(void *rop, size_t *countp, int order, size_t size, int endian, size_t nails, const mp_int *op);

/* ---> digit manipulation <--- */

/* right shift by "b" digits */
void mp_rshd(mp_int *a, int b);

/* left shift by "b" digits */
mp_err mp_lshd(mp_int *a, int b);

/* c = a / 2**b, implemented as c = a >> b */
mp_err mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d);

/* b = a/2 */
mp_err mp_div_2(const mp_int *a, mp_int *b);

/* c = a * 2**b, implemented as c = a << b */
mp_err mp_mul_2d(const mp_int *a, int b, mp_int *c);

/* b = a*2 */
mp_err mp_mul_2(const mp_int *a, mp_int *b);

/* c = a mod 2**b */
mp_err mp_mod_2d(const mp_int *a, int b, mp_int *c);

/* computes a = 2**b */
mp_err mp_2expt(mp_int *a, int b);

/* Counts the number of lsbs which are zero before the first zero bit */
int mp_cnt_lsb(const mp_int *a);

/* I Love Earth! */

/* makes a pseudo-random int of a given size */
mp_err mp_rand(mp_int *a, int digits);

/* ---> binary operations <--- */
/* c = a XOR b (two complement) */
mp_err mp_xor(const mp_int *a, const mp_int *b, mp_int *c);

/* c = a OR b (two complement) */
mp_err mp_or(const mp_int *a, const mp_int *b, mp_int *c);

/* c = a AND b (two complement) */
mp_err mp_and(const mp_int *a, const mp_int *b, mp_int *c);

/* ---> Basic arithmetic <--- */

/* b = -a */
mp_err mp_neg(const mp_int *a, mp_int *b);

/* b = |a| */
mp_err mp_abs(const mp_int *a, mp_int *b);

/* compare a to b */
mp_ord mp_cmp(const mp_int *a, const mp_int *b);

/* compare |a| to |b| */
mp_ord mp_cmp_mag(const mp_int *a, const mp_int *b);

/* c = a + b */
mp_err mp_add(const mp_int *a, const mp_int *b, mp_int *c);

/* c = a - b */
mp_err mp_sub(const mp_int *a, const mp_int *b, mp_int *c);

/* c = a * b */
mp_err mp_mul(const mp_int *a, const mp_int *b, mp_int *c);

/* b = a*a  */
mp_err mp_sqr(const mp_int *a, mp_int *b);

/* a/b => cb + d == a */
mp_err mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d);

/* c = a mod b, 0 <= c < b  */
mp_err mp_mod(const mp_int *a, const mp_int *b, mp_int *c);

/* ---> single digit functions <--- */

/* compare against a single digit */
mp_ord mp_cmp_d(const mp_int *a, mp_digit b);

/* c = a + b */
mp_err mp_add_d(const mp_int *a, mp_digit b, mp_int *c);

/* Increment "a" by one like "a++". Changes input! */
mp_err mp_incr(mp_int *a);

/* c = a - b */
mp_err mp_sub_d(const mp_int *a, mp_digit b, mp_int *c);

/* Decrement "a" by one like "a--". Changes input! */
mp_err mp_decr(mp_int *a);

/* c = a * b */
mp_err mp_mul_d(const mp_int *a, mp_digit b, mp_int *c);

/* a/b => cb + d == a */
mp_err mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d);

/* a/3 => 3c + d == a */
mp_err mp_div_3(const mp_int *a, mp_int *c, mp_digit *d);

/* c = a**b */
mp_err mp_expt_d(const mp_int *a, mp_digit b, mp_int *c);

/* c = a mod b, 0 <= c < b  */
mp_err mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c);

/* ---> number theory <--- */

/* d = a + b (mod c) */
mp_err mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d);

/* d = a - b (mod c) */
mp_err mp_submod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d);

/* d = a * b (mod c) */
mp_err mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d);

/* c = a * a (mod b) */
mp_err mp_sqrmod(const mp_int *a, const mp_int *b, mp_int *c);

/* c = 1/a (mod b) */
mp_err mp_invmod(const mp_int *a, const mp_int *b, mp_int *c);

/* c = (a, b) */
mp_err mp_gcd(const mp_int *a, const mp_int *b, mp_int *c);

/* produces value such that U1*a + U2*b = U3 */
mp_err mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3);

/* c = [a, b] or (a*b)/(a, b) */
mp_err mp_lcm(const mp_int *a, const mp_int *b, mp_int *c);

/* finds one of the b'th root of a, such that |c|**b <= |a|
 *
 * returns error if a < 0 and b is even
 */
int mp_n_root(mp_int *a, mp_digit b, mp_int *c);

/* special sqrt algo */
mp_err mp_sqrt(const mp_int *arg, mp_int *ret);

/* is number a square? */
mp_err mp_is_square(const mp_int *arg, mp_bool *ret);

/* computes the jacobi c = (a | n) (or Legendre if b is prime)  */
int mp_jacobi(mp_int *a, mp_int *n, int *c);

/* used to setup the Barrett reduction for a given modulus b */
mp_err mp_reduce_setup(mp_int *a, const mp_int *b);

/* Barrett Reduction, computes a (mod b) with a precomputed value c
 *
 * Assumes that 0 < x <= m*m, note if 0 > x > -(m*m) then you can merely
 * compute the reduction as -1 * mp_reduce(mp_abs(x)) [pseudo code].
 */
mp_err mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu);

/* setups the montgomery reduction */
mp_err mp_montgomery_setup(const mp_int *n, mp_digit *rho);

/* computes a = B**n mod b without division or multiplication useful for
 * normalizing numbers in a Montgomery system.
 */
mp_err mp_montgomery_calc_normalization(mp_int *a, const mp_int *b);

/* computes x/R == x (mod N) via Montgomery Reduction */
mp_err mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho);

/* returns 1 if a is a valid DR modulus */
mp_bool mp_dr_is_modulus(const mp_int *a);

/* sets the value of "d" required for mp_dr_reduce */
void mp_dr_setup(const mp_int *a, mp_digit *d);

/* reduces a modulo n using the Diminished Radix method */
mp_err mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k);

/* returns true if a can be reduced with mp_reduce_2k */
mp_bool mp_reduce_is_2k(const mp_int *a);

/* determines k value for 2k reduction */
mp_err mp_reduce_2k_setup(const mp_int *a, mp_digit *d);

/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */
mp_err mp_reduce_2k(mp_int *a, const mp_int *n, mp_digit d);

/* returns true if a can be reduced with mp_reduce_2k_l */
mp_bool mp_reduce_is_2k_l(const mp_int *a);

/* determines k value for 2k reduction */
mp_err mp_reduce_2k_setup_l(const mp_int *a, mp_int *d);

/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */
mp_err mp_reduce_2k_l(mp_int *a, const mp_int *n, const mp_int *d);

/* Y = G**X (mod P) */
mp_err mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y);

/* ---> Primes <--- */

/* number of primes */
#ifdef MP_8BIT
   #define PRIME_SIZE      31
#else
................................................................................
   #define PRIME_SIZE      256
#endif

/* table of first PRIME_SIZE primes */
extern const mp_digit ltm_prime_tab[];

/* result=1 if a is divisible by one of the first PRIME_SIZE primes */
mp_err mp_prime_is_divisible(mp_int *a, mp_bool *result);

/* performs one Fermat test of "a" using base "b".
 * Sets result to 0 if composite or 1 if probable prime
 */
mp_err mp_prime_fermat(const mp_int *a, const mp_int *b, mp_bool *result);

/* performs one Miller-Rabin test of "a" using base "b".
 * Sets result to 0 if composite or 1 if probable prime
 */
mp_err mp_prime_miller_rabin(const mp_int *a, const mp_int *b, mp_bool *result);

/* This gives [for a given bit size] the number of trials required
 * such that Miller-Rabin gives a prob of failure lower than 2^-96
 */
int mp_prime_rabin_miller_trials(int size);

/* performs one strong Lucas-Selfridge test of "a".
 * Sets result to 0 if composite or 1 if probable prime
 */
mp_err mp_prime_strong_lucas_selfridge(const mp_int *a, mp_bool *result);

/* performs one Frobenius test of "a" as described by Paul Underwood.
 * Sets result to 0 if composite or 1 if probable prime
 */
mp_err mp_prime_frobenius_underwood(const mp_int *N, mp_bool *result);

/* performs t random rounds of Miller-Rabin on "a" additional to
 * bases 2 and 3.  Also performs an initial sieve of trial
 * division.  Determines if "a" is prime with probability
 * of error no more than (1/4)**t.
 * Both a strong Lucas-Selfridge to complete the BPSW test
 * and a separate Frobenius test are available at compile time.
 * With t<0 a deterministic test is run for primes up to
 * 318665857834031151167461. With t<13 (abs(t)-13) additional
 * tests with sequential small primes are run starting at 43.
 * Is Fips 186.4 compliant if called with t as computed by
 * mp_prime_rabin_miller_trials();
 *
 * Sets result to 1 if probably prime, 0 otherwise
 */
mp_err mp_prime_is_prime(const mp_int *a, int t, mp_bool *result);

/* finds the next prime after the number "a" using "t" trials
 * of Miller-Rabin.
 *
 * bbs_style = 1 means the prime must be congruent to 3 mod 4
 */
mp_err mp_prime_next_prime(mp_int *a, int t, int bbs_style);

/* makes a truly random prime of a given size (bytes),
 * call with bbs = 1 if you want it to be congruent to 3 mod 4
 *
 * You have to supply a callback which fills in a buffer with random bytes.  "dat" is a parameter you can
 * have passed to the callback (e.g. a state or something).  This function doesn't use "dat" itself
 * so it can be NULL
 *
 * The prime generated will be larger than 2^(8*size).
 */
#define mp_prime_random(a, t, size, bbs, cb, dat) mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat)

/* makes a truly random prime of a given size (bits),
 *
 * Flags are as follows:
 *
 *   MP_PRIME_BBS      - make prime congruent to 3 mod 4
 *   MP_PRIME_SAFE     - make sure (p-1)/2 is prime as well (implies MP_PRIME_BBS)
 *   MP_PRIME_2MSB_ON  - make the 2nd highest bit one
 *
 * You have to supply a callback which fills in a buffer with random bytes.  "dat" is a parameter you can
 * have passed to the callback (e.g. a state or something).  This function doesn't use "dat" itself
 * so it can be NULL
 *
 */
mp_err mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat);

/* Integer logarithm to integer base */
mp_err mp_ilogb(const mp_int *a, mp_digit base, mp_int *c);

/* ---> radix conversion <--- */
int mp_count_bits(const mp_int *a);

int mp_unsigned_bin_size(const mp_int *a);
mp_err mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c);
mp_err mp_to_unsigned_bin(const mp_int *a, unsigned char *b);
mp_err mp_to_unsigned_bin_n(const mp_int * a, unsigned char *b, unsigned long *outlen);

int mp_signed_bin_size(const mp_int *a);
mp_err mp_read_signed_bin(mp_int *a, const unsigned char *b, int c);
mp_err mp_to_signed_bin(const mp_int *a,  unsigned char *b);
mp_err mp_to_signed_bin_n(const mp_int * a, unsigned char *b, unsigned long *outlen);

mp_err mp_read_radix(mp_int *a, const char *str, int radix);
mp_err mp_toradix(const mp_int *a, char *str, int radix);
mp_err mp_toradix_n(const mp_int * a, char *str, int radix, int maxlen);
mp_err mp_radix_size(const mp_int *a, int radix, int *size);

#ifndef MP_NO_FILE
mp_err mp_fread(mp_int *a, int radix, FILE *stream);
mp_err mp_fwrite(const mp_int *a, int radix, FILE *stream);
#endif

#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len))
#define mp_raw_size(mp)           mp_signed_bin_size(mp)
#define mp_toraw(mp, str)         mp_to_signed_bin((mp), (str))
#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len))
#define mp_mag_size(mp)           mp_unsigned_bin_size(mp)
#define mp_tomag(mp, str)         mp_to_unsigned_bin((mp), (str))