+++

This reverts commit dbafdbeea5ec44865047cbcce23d20d0855093ea.

.gitignore

@@ -1,2 +1,5 @@
 .idea
 cmake-build-debug
+njvm
+njvm.dSYM
+njvm.exe

CMakeLists.txt

@@ -2,11 +2,25 @@ cmake_minimum_required(VERSION 3.0)
 project(ninja LANGUAGES C)
 
 set(CMAKE_C_STANDARD 99)
-set(PROJECT_VERSION 0)
+
-configure_file(
+add_compile_options(-g -Wall -pedantic)
-        ${CMAKE_SOURCE_DIR}/config.h.in
+
-        ${CMAKE_BINARY_DIR}/config.h
+add_executable(njvm njvm.c
-)
+        njvm.h)
-include_directories(${CMAKE_BINARY_DIR})
+
-add_executable(ninja
+# Include directories for njvm executable
-        njvm.c config.h.in)
+target_include_directories(njvm PRIVATE ${CMAKE_CURRENT_SOURCE_DIR}/bigint/build/include)
+
+# Add the library
+add_library(bigint STATIC ${CMAKE_SOURCE_DIR}/bigint/src/bigint.c
+        support.c
+        GC.c
+        heap.c
+        heap.h)
+
+# Include directories for the bigint library
+target_include_directories(bigint PUBLIC ${CMAKE_CURRENT_SOURCE_DIR}/bigint/build/include)
+
+# Link the executable with the library
+target_link_libraries(njvm PRIVATE bigint)
+

GC.c

@@ -0,0 +1,99 @@
+#ifndef GC
+#define GC
+#include <stdlib.h>
+#include <stdio.h>
+#include <string.h>
+#include "stackslot.c"
+#include "stack.c"
+#include "bigint.h"
+#include "instruktion.c"
+#include "record.c"
+#include "SDA.c"
+
+typedef struct {
+    unsigned int freiZeiger;
+    unsigned int size;
+    unsigned char *data;
+} *heapPartRef;
+
+// SDA
+struct sda sda;
+
+// Stack
+struct stack stack;
+#define SIZE 1000;
+
+//Register
+struct stack reg;
+
+
+//heapPartRef primary;
+//heapPartRef secondary;
+//unsigned int heapSize;
+//void initHeap(int size){
+//    heapSize = 2 * sizeof (unsigned int) + size;
+//    if ((primary = malloc(heapSize)) == NULL)  perror("malloc");
+//    if ((secondary = malloc(heapSize)) == NULL)  perror("malloc");
+//}
+//
+//
+//// nimmt obj und copier es in den secondary Speicher
+//void copy(ObjRef obj){
+//    if(obj->brokenHeart == true) return;
+//    obj->brokenHeart = true;
+//    if (IS_PRIMITIVE(obj)){
+//        if(obj->size > secondary->size-secondary->freiZeiger) perror("Heap is to Small");
+//        obj->forward_pointer = memcpy((void *) secondary->data[secondary->freiZeiger], obj, obj->size);
+//        secondary->freiZeiger += obj->size;
+//    } else {
+//        if(sizeof(*obj) + (GET_ELEMENT_COUNT(obj) * sizeof(void *)) > secondary->size-secondary->freiZeiger) perror("Heap is to Small");
+//        GET_ELEMENT_COUNT(obj);
+//        obj->forward_pointer = memcpy((void *) secondary->data[secondary->freiZeiger], obj, sizeof(*obj) + (GET_ELEMENT_COUNT(obj) * sizeof(void *)));
+//        secondary->freiZeiger += sizeof(*obj) + (GET_ELEMENT_COUNT(obj) * sizeof(void *));
+//        for (int i = 0; i < GET_ELEMENT_COUNT(obj); ++i) {
+//            copy(getField(obj,i));
+//        }
+//    }
+//}
+//
+//void runGC(){
+//    int rootSize = *sda.size + *reg.size + *stack.size + 4;
+//    ObjRef* rootObjs = malloc(sizeof(ObjRef) * rootSize);
+//    if(rootObjs == NULL) perror("malloc");
+//    int counter = 0;
+//    //Bip
+//    rootObjs[0] = bip.op1;
+//    rootObjs[counter++] = bip.op2;
+//    rootObjs[counter++] = bip.res;
+//    rootObjs[counter++] = bip.rem;
+//    //SDA
+//    for (int i = 0; i < *sda.size; ++i) {
+//        rootObjs[counter++] = sda.sda[i];
+//    }
+//    //REG
+//    for (int i = 0; i < *reg.size; ++i) {
+//        rootObjs[counter++] = reg.stack[i].u.objRef;
+//    }
+//    //STACK
+//    for (int i = 0; i < *stack.size; ++i) {
+//        rootObjs[counter++] = stack.stack[i].u.objRef;
+//    }
+//
+//    for (int i = 0; i < rootSize; ++i) {
+//        if(rootObjs[i] == NULL) continue;
+//        copy(rootObjs[i]);
+//    }
+//    heapPartRef temp = primary;
+//    primary = secondary;
+//    secondary = temp;
+//
+//}
+//
+//void *alloc(size_t size){
+//    if(primary->size-primary->freiZeiger < size){
+//        runGC();
+//    }
+//    primary->freiZeiger += size;
+//    return (void *) primary->data[primary->freiZeiger - size];
+//}
+#endif

Makefile

@@ -0,0 +1,12 @@
+# Makefile for a simple C program
+build:
+	cd ./bigint; make; cd ..
+	gcc -g -Wall -Ibigint/build/include -o support.o -c support.c
+	gcc -g -Wall -Ibigint/build/include -o njvm.o -c njvm.c
+	gcc -g -Wall -Lbigint/build/lib -o njvm njvm.o support.o -lbigint
+
+run: build
+	./njvm prog.bin
+
+debug: build
+	./njvm --debug prog.bin

Makefile3

@@ -0,0 +1,43 @@
+# Makefile for a simple C program
+
+# Compiler
+CC = gcc
+
+# program to Run
+F = prog.bin
+
+# Compiler flags
+CFLAGS = -g -Wall -Ibigint/build/include
+
+LDFLAGS = -g -Wall -Lbigint/build/lib
+
+# Source file
+SRC = njvm.c 
+
+# Executable name
+TARGET = njvm
+
+njvm.o: 
+	$(CC) $(CFLAGS) -o njvm.o -c njvm.c
+
+support.o:
+	$(CC) $(CFLAGS) -o support.o -c support.c
+
+# Default target
+all: njvm.o support.o
+	$(CC) $(LDFLAGS) -o $(TARGET) njvm.o support.o -lbigint
+# Clean up
+clean:
+	rm -f $(OBJ) $(TARGET)
+
+debug: all
+	./$(TARGET) --debug $(F) 
+
+run: all
+	./$(TARGET) $(F)
+
+nja:	./nja/nja$(V)
+	./nja/nja$(V) $(IN) $(OUT)
+
+njc: ./njc/njc$(V)
+	./njc/njc$(V) $(IN) $(OUT)

SDA.c

@@ -0,0 +1,28 @@
+//
+// Created by Nils on 03.12.2023
+//
+#ifndef SDA
+#define SDA
+#include <stdio.h>
+#include "stackslot.c"
+struct sda {
+    int *size;
+    ObjRef *sda;
+};
+
+ObjRef getSDA(int i, struct sda s) {
+    return s.sda[i];
+}
+
+void setSDA(int point, ObjRef val, struct sda s) {
+    if (val == NULL) perror("Value is null");
+    s.sda[point] = val;
+}
+
+void printSDA(struct sda s) {
+    for (int i = 0; i < *s.size; i++) {
+        printf("%i\n", *(int *)getSDA(i, s)->data);
+    }
+}
+
+#endif

bigint/Makefile

@@ -0,0 +1,22 @@
+#
+# Makefile for big integer library and test
+#
+
+DIRS = src tst
+
+all: clean
+		for i in $(DIRS) ; do \
+		  $(MAKE) -C $$i install ; \
+		done
+
+clean:
+		for i in $(DIRS) ; do \
+		  $(MAKE) -C $$i clean ; \
+		done
+		rm -rf ./build
+		rm -f *~
+
+dist:		clean
+		(cd .. ; \
+		 tar -cvf bigint.tar bigint ; \
+		 gzip -f bigint.tar)

bigint/README

@@ -0,0 +1,92 @@
+The "bigint" Package
+====================
+
+1. What is it?
+--------------
+
+This package implements a multiple-precision integer arithmetic package,
+i.e., a collection of functions which can calculate with integers having
+arbitrarily many digits. The algorithms are taken from [D. Knuth: The
+Art of Computer Programming, Vol. 2, Seminumerical Algorithms], the
+implementation language is C.
+
+
+2. "Multiple Precision" - how does it work?
+-------------------------------------------
+
+Each integer number is represented as an array of digits. The array
+is large enough to hold the number of digits necessary to represent
+the number. Each digit occupies a single byte, so the number base of
+this representation is 256. Addition, subtraction, and multiplication
+work as we all have learned it: perform the desired operation digit
+by digit, starting from the least significant digit, and observing
+any "carries" from one place to the next higher one. Division is a
+little bit more complicated because there is a certain amount of
+guesswork involved. Knuth gives a formal treatment of this guesswork.
+
+
+3. How do I use it?
+-------------------
+
+Because every big integer may have a differently sized array to hold
+its digits, these structures are dynamically allocated on the heap of
+the C runtime system, and accessed by pointers. If you want to perform
+an arithmetic operation on one or two big integers, you have to load
+the corresponding pointers into a structure called BIP ("Big Integer
+Processor"), and call the arithmetic function. When the function has
+returned, the pointer to the result of the operation can be found in
+another component of the BIP. The following functions are available:
+
+    int bigSgn(void);                        /* sign */
+    int bigCmp(void);                        /* comparison */
+    void bigNeg(void);                       /* negation */
+    void bigAdd(void);                       /* addition */
+    void bigSub(void);                       /* subtraction */
+    void bigMul(void);                       /* multiplication */
+    void bigDiv(void);                       /* division */
+    void bigFromInt(int n);                  /* conversion int --> big */
+    int bigToInt(void);                      /* conversion big --> int */
+    void bigRead(FILE *in);                  /* read a big integer */
+    void bigPrint(FILE *out);                /* print a big integer */
+    void bigDump(FILE *out, BigObjRef bigObjRef);  /* dump a big integer */
+
+Some of these functions accept or return ordinary integers. For the
+exact definition of each function's interface, please see the comments
+in the function's source.
+
+
+4. What else is needed?
+-----------------------
+
+The library tries to detect fatal errors in using its functions (e.g.,
+null pointers to operands) as well as internal errors (which "cannot
+happen"). In either case a user-supplied error routine is called, which
+is supposed to print an error message and then to terminate the program.
+
+The library does not attempt to manage memory. For this purpose, it
+relies on a user-supplied function "void* newPrimObject(int dataSize)",
+which should allocate sufficiently many bytes and return a pointer to
+a created object. In addition, the library needs to access a data field
+- that implements the size-as-needed cocept - within the created object, 
+to actualy manage the data structures that represent the values of the 
+integer number. For this, the following function can be used:
+
+void * getPrimObjectDataPointer(void * obj){
+  ObjRef oo = ((ObjRef)  (obj));
+  return oo->data;
+}
+
+This function must also be a user-supplied function that must be 
+implemented by the program that wants to use this library.
+
+For details about these three user-supplied functions take a look in 
+the file "support.c" in the directory "tst".
+
+
+5. What is in the directory "tst"?
+----------------------------------
+
+Well, you may have guessed it already: these are test cases for the
+library. You can learn how to link against the library by inspecting
+the "Makefile" for the tests, and you can find a simple implementation
+of the support library.

bigint/build/include/bigint.h

@@ -0,0 +1,60 @@
+/*
+ * bigint.h -- big integer library
+ */
+
+
+#ifndef _BIGINT_H_
+#define _BIGINT_H_
+
+
+/* object representation */
+typedef void* BigObjRef;
+
+
+#include <stdio.h>
+
+
+typedef struct {
+  int nd;			/* number of digits; array may be bigger */
+				/* nd = 0 exactly when number = 0 */
+  unsigned char sign;		/* one of BIG_NEGATIVE or BIG_POSITIVE */
+				/* zero always has BIG_POSITIVE here */
+  unsigned char digits[1];	/* the digits proper; number base is 256 */
+				/* LS digit first; MS digit is not zero */
+} Big;
+
+#include "support.h"
+
+
+/* big integer processor registers */
+
+typedef struct {
+  BigObjRef op1;			/* first (or single) operand */
+  BigObjRef op2;			/* second operand (if present) */
+  BigObjRef res;			/* result of operation */
+  BigObjRef rem;			/* remainder in case of division */
+} BIP;
+
+extern BIP bip;			/* registers of the processor */
+
+
+/* big integer processor functions */
+
+int bigSgn(void);			/* sign */
+int bigCmp(void);			/* comparison */
+void bigNeg(void);			/* negation */
+void bigAdd(void);			/* addition */
+void bigSub(void);			/* subtraction */
+void bigMul(void);			/* multiplication */
+void bigDiv(void);			/* division */
+
+void bigFromInt(int n);			/* conversion int --> big */
+int bigToInt(void);			/* conversion big --> int */
+
+void bigRead(FILE *in);			/* read a big integer */
+void bigPrint(FILE *out);		/* print a big integer */
+
+void bigDump(FILE *out, BigObjRef bigObjRef);	/* dump a big integer object */
+
+
+#endif /* _BIGINT_H_ */

bigint/build/include/support.h

@@ -0,0 +1,15 @@
+/*
+ * support.h -- object representation and support functions
+ */
+
+
+#ifndef _SUPPORT_H_
+#define _SUPPORT_H_
+
+/* support functions */
+
+void fatalError(char *msg);		/* print a message and exit */
+void * newPrimObject(int dataSize);	/* create a new primitive object */
+void * getPrimObjectDataPointer(void * primObject);
+
+#endif /* _SUPPORT_H_ */

bigint/src/Makefile

@@ -0,0 +1,26 @@
+#
+# Makefile for big integer library
+#
+
+BUILD = ../build
+
+CC = gcc
+CFLAGS = -g -Wall
+
+all:		support.h bigint.h libbigint.a
+
+install:	all
+		mkdir -p $(BUILD)/include
+		cp support.h $(BUILD)/include
+		cp bigint.h $(BUILD)/include
+		mkdir -p $(BUILD)/lib
+		cp libbigint.a $(BUILD)/lib
+
+libbigint.a:	bigint.o
+		ar -crs libbigint.a bigint.o
+
+bigint.o:	bigint.c bigint.h support.h
+		$(CC) $(CFLAGS) -o bigint.o -c bigint.c
+
+clean:
+		rm -f *~ bigint.o libbigint.a

bigint/src/bigint.c

@@ -0,0 +1,987 @@
+/*
+ * bigint.c -- big integer library
+ */
+
+
+#include <stdio.h>
+#include <ctype.h>
+
+#include "bigint.h"
+
+/**************************************************************/
+
+/* debugging */
+
+
+#define DIV_CHK_01	0
+#define DIV_CHK_02	0
+#define DIV_CHK_03	0
+#define DIV_CHK_04	0
+#define DIV_CHK_05	0
+#define DIV_CHK_06	0
+#define DIV_CHK_07	0
+#define DIV_CHK_08	0
+#define DIV_CHK_09	0
+#define DIV_CHK_10	0
+#define DIV_CHK_11	0
+
+
+/**************************************************************/
+
+/* big integer representation */
+
+
+#define BIG_NEGATIVE		((unsigned char) 0)
+#define BIG_POSITIVE		((unsigned char) 1)
+
+
+#define BIG_PTR(bigObjRef)			((Big *) (getPrimObjectDataPointer(bigObjRef)))
+#define GET_ND(bigObjRef)			(BIG_PTR(bigObjRef)->nd)
+#define SET_ND(bigObjRef, val)		(BIG_PTR(bigObjRef)->nd = (val))
+#define GET_SIGN(bigObjRef)		(BIG_PTR(bigObjRef)->sign)
+#define SET_SIGN(bigObjRef, val)		(BIG_PTR(bigObjRef)->sign = (val))
+#define GET_DIGIT(bigObjRef, i)		(BIG_PTR(bigObjRef)->digits[i])
+#define SET_DIGIT(bigObjRef, i, val)	(BIG_PTR(bigObjRef)->digits[i] = (val))
+
+
+/**************************************************************/
+
+/* global data */
+
+
+/*
+ * registers of the big integer processor
+ */
+BIP bip = {
+  NULL,		/* op1 */
+  NULL,		/* op2 */
+  NULL,		/* res */
+  NULL,		/* rem */
+};
+
+
+/**************************************************************/
+
+
+/*
+ * construct a new big integer object
+ *
+ * number of digits is given by parameter
+ * a reference to a proper object is returned
+ * but no component of the big integer is set
+ *
+ * ATTENTION: All object references stored in
+ * places other than the bip registers may become
+ * invalid as soon as this function is called!
+ */
+static BigObjRef newBig(int nd) {
+  int dataSize;
+  BigObjRef bigObjRef;
+
+  dataSize = sizeof(int) + 1 + nd;
+  bigObjRef = newPrimObject(dataSize);
+  return bigObjRef;
+}
+
+
+/**************************************************************/
+
+/* big integer unsigned arithmetic */
+
+
+/*
+ * exchange bip.op1 and bip.op2
+ */
+static void bigXchg(void) {
+  BigObjRef tmp;
+
+  tmp = bip.op1;
+  bip.op1 = bip.op2;
+  bip.op2 = tmp;
+}
+
+
+/*
+ * big integer unsigned comparison
+ *
+ * operands in bip.op1 and bip.op2
+ * result is < 0, = 0, or > 0 if and only if the
+ * same relation holds for bip.op1 and bip.op2
+ */
+static int bigUcmp(void) {
+  int nd1;
+  int nd2;
+  int diff;
+
+  /* compare sizes */
+  nd1 = GET_ND(bip.op1);
+  nd2 = GET_ND(bip.op2);
+  if (nd1 != nd2) {
+    /* sizes are different: we know the bigger number */
+    return nd1 - nd2;
+  }
+  /* sizes are equal: we must look at the digits */
+  while (nd1--) {
+    diff = (int) GET_DIGIT(bip.op1, nd1) -
+           (int) GET_DIGIT(bip.op2, nd1);
+    if (diff != 0) {
+      return diff;
+    }
+  }
+  /* the numbers are equal */
+  return 0;
+}
+
+
+/*
+ * big integer unsigned addition
+ *
+ * operands in bip.op1 and bip.op2
+ * result in bip.res
+ */
+static void bigUadd(void) {
+  int nd1;
+  int nd2;
+  int i;
+  unsigned short carry;
+  unsigned short aux;
+  int xchgFlag;
+
+  /* make sure op1 has at least as many digits as op2 */
+  nd1 = GET_ND(bip.op1);
+  nd2 = GET_ND(bip.op2);
+  if (nd1 < nd2) {
+    /* exchange operands */
+    bigXchg();
+    i = nd1;
+    nd1 = nd2;
+    nd2 = i;
+    xchgFlag = 1;
+  } else {
+    /* don't exchange operands */
+    xchgFlag = 0;
+  }
+  /* allocate result */
+  bip.res = newBig(nd1 + 1);
+  /* copy op2 to result */
+  for (i = 0; i < nd2; i++) {
+    SET_DIGIT(bip.res, i, GET_DIGIT(bip.op2, i));
+  }
+  /* fill result with 0 up to size of op1 */
+  for (; i < nd1; i++) {
+    SET_DIGIT(bip.res, i, 0);
+  }
+  /* res = op1 + res */
+  carry = 0x00;
+  for (i = 0; i < nd1; i++) {
+    aux = (unsigned short) GET_DIGIT(bip.op1, i) +
+          (unsigned short) GET_DIGIT(bip.res, i) +
+          carry;
+    SET_DIGIT(bip.res, i, aux & 0xFF);
+    carry = aux >> 8;
+  }
+  SET_DIGIT(bip.res, i, carry);
+  /* determine actual size of result */
+  i = nd1 + 1;
+  while (--i >= 0 && GET_DIGIT(bip.res, i) == 0) ;
+  SET_ND(bip.res, i + 1);
+  /* restore operands */
+  if (xchgFlag) {
+    bigXchg();
+  }
+}
+
+
+/*
+ * big integer unsigned subtraction
+ *
+ * operands in bip.op1 and bip.op2
+ * result in bip.res, must not be negative
+ */
+static void bigUsub(void) {
+  int nd1;
+  int nd2;
+  int i;
+  unsigned short carry;
+  unsigned short aux;
+
+  /* op1 must have at least as many digits as op2 */
+  nd1 = GET_ND(bip.op1);
+  nd2 = GET_ND(bip.op2);
+  if (nd1 < nd2) {
+    /* unsigned subtraction would yield negative result */
+    fatalError("internal library error #1 - THIS SHOULD NEVER HAPPEN!");
+  }
+  /* allocate result */
+  bip.res = newBig(nd1);
+  /* copy op2 to result */
+  for (i = 0; i < nd2; i++) {
+    SET_DIGIT(bip.res, i, GET_DIGIT(bip.op2, i));
+  }
+  /* fill result with 0 up to size of op1 */
+  for (; i < nd1; i++) {
+    SET_DIGIT(bip.res, i, 0);
+  }
+  /* res = op1 - res */
+  carry = 0x01;
+  for (i = 0; i < nd1; i++) {
+    aux = (unsigned short) GET_DIGIT(bip.op1, i) -
+          (unsigned short) GET_DIGIT(bip.res, i) +
+          carry + 0xFF;
+    SET_DIGIT(bip.res, i, aux & 0xFF);
+    carry = aux >> 8;
+  }
+  if (carry != 0x01) {
+    /* unsigned subtraction would yield negative result */
+    fatalError("internal library error #2 - THIS SHOULD NEVER HAPPEN!");
+  }
+  /* determine actual size of result */
+  i = nd1;
+  while (--i >= 0 && GET_DIGIT(bip.res, i) == 0) ;
+  SET_ND(bip.res, i + 1);
+}
+
+
+/*
+ * big integer unsigned multiplication
+ *
+ * operands in bip.op1 and bip.op2
+ * result in bip.res
+ */
+static void bigUmul(void) {
+  int nd1;
+  int nd2;
+  int i, j, k;
+  unsigned short carry;
+  unsigned short aux;
+
+  /* get sizes of operands */
+  nd1 = GET_ND(bip.op1);
+  nd2 = GET_ND(bip.op2);
+  /* allocate result */
+  bip.res = newBig(nd1 + nd2);
+  /* reset lower nd1 digits of result */
+  for (i = 0; i < nd1; i++) {
+    SET_DIGIT(bip.res, i, 0);
+  }
+  /* res = op1 * op2 */
+  for (j = 0; j < nd2; j++) {
+    carry = 0x00;
+    for (k = j, i = 0; i < nd1; k++, i++) {
+      aux = (unsigned short) GET_DIGIT(bip.op1, i) *
+            (unsigned short) GET_DIGIT(bip.op2, j) +
+            (unsigned short) GET_DIGIT(bip.res, k) +
+            carry;
+      SET_DIGIT(bip.res, k, aux & 0xFF);
+      carry = aux >> 8;
+    }
+    SET_DIGIT(bip.res, k, carry);
+  }
+  /* determine actual size of result */
+  i = nd1 + nd2;
+  while (--i >= 0 && GET_DIGIT(bip.res, i) == 0) ;
+  SET_ND(bip.res, i + 1);
+}
+
+
+/*
+ * big integer unsigned division by single digit divisor
+ *
+ * dividend in bip.rem, divisor in parameter
+ * quotient in bip.rem, remainder is returned
+ */
+static unsigned char bigUdiv1(unsigned char divisor) {
+  BigObjRef tmp;
+  int nd;
+  int i;
+  unsigned short d, r;
+  unsigned short aux;
+
+  /* get size of dividend */
+  nd = GET_ND(bip.rem);
+  /* check for division by zero */
+  d = (unsigned short) divisor;
+  if (d == 0) {
+    fatalError("internal library error #3 - THIS SHOULD NEVER HAPPEN!");
+  }
+  /* allocate result */
+  tmp = newBig(nd);
+  /* tmp = dividend / divisor, r = dividend % divisor */
+  r = 0;
+  for (i = nd - 1; i >= 0; i--) {
+    aux = (r << 8) | (unsigned short) GET_DIGIT(bip.rem, i);
+    SET_DIGIT(tmp, i, aux / d);
+    r = aux % d;
+  }
+  /* determine actual size of quotient */
+  i = nd;
+  while (--i >= 0 && GET_DIGIT(tmp, i) == 0) ;
+  SET_ND(tmp, i + 1);
+  /* store quotient */
+  bip.rem = tmp;
+  /* return remainder */
+  return (unsigned char) r;
+}
+
+
+/*
+ * big integer unsigned division
+ *
+ * dividend in bip.op1, divisor in bip.op2
+ * quotient in bip.res, remainder in bip.rem
+ */
+static void bigUdiv(void) {
+  BigObjRef tmp;
+  int nd1;
+  int nd2;
+  int nd3;
+  int i, j, k, l;
+  unsigned char r;
+  unsigned short scale;
+  unsigned short carry;
+  unsigned short aux;
+  unsigned short qhat;
+  unsigned short v1, v2;
+  unsigned short uj0, uj1, uj2, two;
+
+  /* get sizes of operands */
+  nd1 = GET_ND(bip.op1);
+  nd2 = GET_ND(bip.op2);
+  /* check for division by zero */
+  if (nd2 == 0) {
+    fatalError("division by zero");
+  }
+  /* check for small dividend */
+  if (bigUcmp() < 0) {
+    /* res = 0 */
+    bip.res = newBig(0);
+    SET_ND(bip.res, 0);
+    /* rem = op1; BUT THIS HAS TO BE A COPY! */
+    bip.rem = newBig(nd1);
+    for (i = 0; i < nd1; i++) {
+      SET_DIGIT(bip.rem, i, GET_DIGIT(bip.op1, i));
+    }
+    SET_ND(bip.rem, nd1);
+    return;
+  }
+  /* check for single digit divisor */
+  if (nd2 == 1) {
+    /* yes - use simple division by single digit divisor */
+    bip.rem = bip.op1;
+    r = bigUdiv1(GET_DIGIT(bip.op2, 0));
+    bip.res = bip.rem;
+    if (r == 0) {
+      bip.rem = newBig(0);
+      SET_ND(bip.rem, 0);
+    } else {
+      bip.rem = newBig(1);
+      SET_ND(bip.rem, 1);
+      SET_DIGIT(bip.rem, 0, r);
+    }
+    return;
+  }
+  /*
+   * now for the general case
+   */
+#if DIV_CHK_01
+  printf("div_chk #01: division, general case\n");
+  printf("             dividend = ");
+  bigDump(stdout, bip.op1);
+  printf("\n");
+  printf("             divisor  = ");
+  bigDump(stdout, bip.op2);
+  printf("\n");
+#endif
+  /* determine scale factor for normalization */
+  scale = (unsigned short) 256 /
+          ((unsigned short) GET_DIGIT(bip.op2, nd2 - 1) + 1);
+#if DIV_CHK_02
+  printf("div_chk #02: scale factor = %02X\n", scale);
+#endif
+  /* normalize dividend, result is in bip.rem */
+  bip.rem = newBig(nd1 + 1);
+  carry = 0x00;
+  for (i = 0; i < nd1; i++) {
+    aux = (unsigned short) GET_DIGIT(bip.op1, i) * scale +
+          carry;
+    SET_DIGIT(bip.rem, i, aux & 0xFF);
+    carry = aux >> 8;
+  }
+  SET_DIGIT(bip.rem, i, carry);
+  SET_ND(bip.rem, nd1 + 1);
+#if DIV_CHK_03
+  printf("div_chk #03: normalized dividend = ");
+  bigDump(stdout, bip.rem);
+  printf("\n");
+#endif
+  /* normalize divisor, result is in bip.res */
+  bip.res = newBig(nd2);
+  carry = 0x00;
+  for (i = 0; i < nd2; i++) {
+    aux = (unsigned short) GET_DIGIT(bip.op2, i) * scale +
+          carry;
+    SET_DIGIT(bip.res, i, aux & 0xFF);
+    carry = aux >> 8;
+  }
+  if (carry != 0x00) {
+    /* overflow in divisor normalization */
+    fatalError("internal library error #4 - THIS SHOULD NEVER HAPPEN!");
+  }
+  SET_ND(bip.res, nd2);
+#if DIV_CHK_04
+  printf("div_chk #04: normalized divisor  = ");
+  bigDump(stdout, bip.res);
+  printf("\n");
+#endif
+  /* allocate quotient */
+  nd3 = nd1 - nd2 + 1;
+  tmp = newBig(nd3);
+  /* extract the two most significand digits of divisor */
+  v1 = (unsigned short) GET_DIGIT(bip.res, nd2 - 1);
+  v2 = (unsigned short) GET_DIGIT(bip.res, nd2 - 2);
+  /* loop on digits of dividend and compute digits of quotient */
+  /* j is index into dividend, k is index into quotient */
+  for (j = nd1, k = nd3 - 1; k >= 0; j--, k--) {
+#if DIV_CHK_05
+    printf("div_chk #05: j = %d, k = %d\n", j, k);
+#endif
+    /* calculate qhat */
+    uj0 = (unsigned short) GET_DIGIT(bip.rem, j);
+    uj1 = (unsigned short) GET_DIGIT(bip.rem, j - 1);
+    uj2 = (unsigned short) GET_DIGIT(bip.rem, j - 2);
+    two = (uj0 << 8) | uj1;
+    if (uj0 == v1) {
+      qhat = (unsigned short) 255;
+#if DIV_CHK_06
+      printf("div_chk #06a: qhat = %02X\n", qhat);
+#endif
+    } else {
+      qhat = two / v1;
+#if DIV_CHK_06
+      printf("div_chk #06b: qhat = %02X\n", qhat);
+#endif
+    }
+    while (qhat * v2 > (((two - qhat * v1) << 8) | uj2)) {
+      qhat--;
+#if DIV_CHK_07
+      printf("div_chk #07: qhat decremented, is now %02X\n", qhat);
+#endif
+    }
+    /* multiply and subtract */
+    /* l is index into dividend, i is index into divisor */
+    carry = 0xFF;
+    for (l = j - nd2, i = 0; i < nd2; l++, i++) {
+      aux = (unsigned short) GET_DIGIT(bip.rem, l) -
+            (unsigned short) GET_DIGIT(bip.res, i) * qhat +
+            carry + 0xFE01;
+      SET_DIGIT(bip.rem, l, aux & 0xFF);
+      carry = aux >> 8;
+    }
+    aux = (unsigned short) GET_DIGIT(bip.rem, l) +
+          carry + 0xFE01;
+    SET_DIGIT(bip.rem, l, aux & 0xFF);
+    carry = aux >> 8;
+#if DIV_CHK_08
+    printf("div_chk #08: remainder = ");
+    bigDump(stdout, bip.rem);
+    printf("\n");
+#endif
+    /* test remainder and possibly add back */
+    if (carry != 0xFF) {
+      /* qhat is one too large */
+      qhat--;
+#if DIV_CHK_09
+      printf("div_chk #09: qhat final correction, is now %02X\n", qhat);
+#endif
+      /* add back */
+      /* l is index into dividend, i is index into divisor */
+      carry = 0x00;
+      for (l = j - nd2, i = 0; i < nd2; l++, i++) {
+        aux = (unsigned short) GET_DIGIT(bip.rem, l) +
+              (unsigned short) GET_DIGIT(bip.res, i) +
+              carry;
+        SET_DIGIT(bip.rem, l, aux & 0xFF);
+        carry = aux >> 8;
+      }
+      aux = (unsigned short) GET_DIGIT(bip.rem, l) +
+            carry;
+      SET_DIGIT(bip.rem, l, aux & 0xFF);
+      carry = aux >> 8;
+      if (carry != 0x01) {
+        /* missing carry in add-back sum */
+        fatalError("internal library error #5 - THIS SHOULD NEVER HAPPEN!");
+      }
+#if DIV_CHK_10
+      printf("div_chk #10: remainder = ");
+      bigDump(stdout, bip.rem);
+      printf("\n");
+#endif
+    }
+    /* store quotient digit */
+    SET_DIGIT(tmp, k, qhat);
+#if DIV_CHK_11
+    printf("div_chk #11: quotient digit = %02X\n", qhat);
+#endif
+  }
+  /* finish quotient */
+  i = nd3;
+  while (--i >= 0 && GET_DIGIT(tmp, i) == 0) ;
+  SET_ND(tmp, i + 1);
+  bip.res = tmp;
+  /* finish and unnormalize remainder */
+  i = nd1 + 1;
+  while (--i >= 0 && GET_DIGIT(bip.rem, i) == 0) ;
+  SET_ND(bip.rem, i + 1);
+  r = bigUdiv1(scale);
+  if (r != 0) {
+    /* non-zero remainder in unnormalization */
+    fatalError("internal library error #6 - THIS SHOULD NEVER HAPPEN!");
+  }
+}
+
+
+/**************************************************************/
+
+/* nil reference exception */
+
+
+static void nilRefException(void) {
+  fatalError("big integer library detected illegal nil reference");
+}
+
+
+/**************************************************************/
+
+/* big integer arithmetic */
+
+
+/*
+ * big integer sign
+ *
+ * operand in bip.op1
+ * result is < 0, = 0, or > 0 if and only if
+ * the same relation holds for bip.op1
+ */
+int bigSgn(void) {
+  if (bip.op1 == NULL) {
+    nilRefException();
+  }
+  if (GET_ND(bip.op1) == 0) {
+    return 0;
+  }
+  if (GET_SIGN(bip.op1) == BIG_POSITIVE) {
+    return 1;
+  } else {
+    return -1;
+  }
+}
+
+
+/*
+ * big integer comparison
+ *
+ * operands in bip.op1 and bip.op2
+ * result is < 0, = 0, or > 0 if and only if the
+ * same relation holds for bip.op1 and bip.op2
+ */
+int bigCmp(void) {
+  if (bip.op1 == NULL ||
+      bip.op2 == NULL) {
+    nilRefException();
+  }
+  if (GET_SIGN(bip.op1) == BIG_POSITIVE) {
+    if (GET_SIGN(bip.op2) == BIG_POSITIVE) {
+      /* op1 >= 0 and op2 >= 0 */
+      return bigUcmp();
+    } else {
+      /* op1 >= 0 and op2 < 0 */
+      return 1;
+    }
+  } else {
+    if (GET_SIGN(bip.op2) == BIG_POSITIVE) {
+      /* op1 < 0 and op2 >= 0 */
+      return -1;
+    } else {
+      /* op1 < 0 and op2 < 0 */
+      return -bigUcmp();
+    }
+  }
+}
+
+
+/*
+ * big integer negation
+ *
+ * operand in bip.op1
+ * result in bip.res
+ */
+void bigNeg(void) {
+  int nd;
+  int i;
+
+  if (bip.op1 == NULL) {
+    nilRefException();
+  }
+  /* make copy of operand */
+  nd = GET_ND(bip.op1);
+  bip.res = newBig(nd);
+  for (i = 0; i < nd; i++) {
+    SET_DIGIT(bip.res, i, GET_DIGIT(bip.op1, i));
+  }
+  SET_ND(bip.res, nd);
+  /* store inverted sign */
+  if (GET_SIGN(bip.op1) == BIG_NEGATIVE || nd == 0) {
+    SET_SIGN(bip.res, BIG_POSITIVE);
+  } else {
+    SET_SIGN(bip.res, BIG_NEGATIVE);
+  }
+}
+
+
+/*
+ * big integer addition
+ *
+ * operands in bip.op1 and bip.op2
+ * result in bip.res
+ */
+void bigAdd(void) {
+  if (bip.op1 == NULL ||
+      bip.op2 == NULL) {
+    nilRefException();
+  }
+  if (GET_SIGN(bip.op1) == BIG_POSITIVE) {
+    if (GET_SIGN(bip.op2) == BIG_POSITIVE) {
+      /* op1 >= 0 and op2 >= 0 */
+      bigUadd();
+      SET_SIGN(bip.res, BIG_POSITIVE);
+    } else {
+      /* op1 >= 0 and op2 < 0 */
+      if (bigUcmp() >= 0) {
+        /* |op1| >= |op2| */
+        bigUsub();
+        SET_SIGN(bip.res, BIG_POSITIVE);
+      } else {
+        /* |op1| < |op2| */
+        bigXchg();
+        bigUsub();
+        SET_SIGN(bip.res, BIG_NEGATIVE);
+        bigXchg();
+      }
+    }
+  } else {
+    if (GET_SIGN(bip.op2) == BIG_POSITIVE) {
+      /* op1 < 0 and op2 >= 0 */
+      if (bigUcmp() <= 0) {
+        /* |op1| <= |op2| */
+        bigXchg();
+        bigUsub();
+        SET_SIGN(bip.res, BIG_POSITIVE);
+        bigXchg();
+      } else {
+        /* |op1| > |op2| */
+        bigUsub();
+        SET_SIGN(bip.res, BIG_NEGATIVE);
+      }
+    } else {
+      /* op1 < 0 and op2 < 0 */
+      bigUadd();
+      SET_SIGN(bip.res, BIG_NEGATIVE);
+    }
+  }
+}
+
+
+/*
+ * big integer subtraction
+ *
+ * operands in bip.op1 and bip.op2
+ * result in bip.res
+ */
+void bigSub(void) {
+  if (bip.op1 == NULL ||
+      bip.op2 == NULL) {
+    nilRefException();
+  }
+  if (GET_SIGN(bip.op1) == BIG_POSITIVE) {
+    if (GET_SIGN(bip.op2) == BIG_POSITIVE) {
+      /* op1 >= 0 and op2 >= 0 */
+      if (bigUcmp() >= 0) {
+        /* |op1| >= |op2| */
+        bigUsub();
+        SET_SIGN(bip.res, BIG_POSITIVE);
+      } else {
+        /* |op1| < |op2| */
+        bigXchg();
+        bigUsub();
+        SET_SIGN(bip.res, BIG_NEGATIVE);
+        bigXchg();
+      }
+    } else {
+      /* op1 >= 0 and op2 < 0 */
+      bigUadd();
+      SET_SIGN(bip.res, BIG_POSITIVE);
+    }
+  } else {
+    if (GET_SIGN(bip.op2) == BIG_POSITIVE) {
+      /* op1 < 0 and op2 >= 0 */
+      bigUadd();
+      SET_SIGN(bip.res, BIG_NEGATIVE);
+    } else {
+      /* op1 < 0 and op2 < 0 */
+      if (bigUcmp() <= 0) {
+        /* |op1| <= |op2| */
+        bigXchg();
+        bigUsub();
+        SET_SIGN(bip.res, BIG_POSITIVE);
+        bigXchg();
+      } else {
+        /* |op1| > |op2| */
+        bigUsub();
+        SET_SIGN(bip.res, BIG_NEGATIVE);
+      }
+    }
+  }
+}
+
+
+/*
+ * big integer multiplication
+ *
+ * operands in bip.op1 and bip.op2
+ * result in bip.res
+ */
+void bigMul(void) {
+  if (bip.op1 == NULL ||
+      bip.op2 == NULL) {
+    nilRefException();
+  }
+  bigUmul();
+  if (GET_SIGN(bip.op1) == GET_SIGN(bip.op2) || GET_ND(bip.res) == 0) {
+    SET_SIGN(bip.res, BIG_POSITIVE);
+  } else {
+    SET_SIGN(bip.res, BIG_NEGATIVE);
+  }
+}
+
+
+/*
+ * big integer division, truncating towards zero
+ *
+ * dividend in bip.op1, divisor in bip.op2
+ * quotient in bip.res, remainder in bip.rem
+ */
+void bigDiv(void) {
+  if (bip.op1 == NULL ||
+      bip.op2 == NULL) {
+    nilRefException();
+  }
+  bigUdiv();
+  if (GET_SIGN(bip.op1) == GET_SIGN(bip.op2) || GET_ND(bip.res) == 0) {
+    SET_SIGN(bip.res, BIG_POSITIVE);
+  } else {
+    SET_SIGN(bip.res, BIG_NEGATIVE);
+  }
+  if (GET_SIGN(bip.op1) == BIG_POSITIVE || GET_ND(bip.rem) == 0) {
+    SET_SIGN(bip.rem, BIG_POSITIVE);
+  } else {
+    SET_SIGN(bip.rem, BIG_NEGATIVE);
+  }
+}
+
+
+/**************************************************************/
+
+/* big integer conversions */
+
+
+/*
+ * conversion int --> big
+ *
+ * operand in parameter
+ * result in bip.res
+ */
+void bigFromInt(int n) {
+  int i;
+
+  bip.res = newBig(sizeof(int));
+  if (n < 0) {
+    n = -n;
+    SET_SIGN(bip.res, BIG_NEGATIVE);
+  } else {
+    SET_SIGN(bip.res, BIG_POSITIVE);
+  }
+  for (i = 0; i < sizeof(int); i++) {
+    SET_DIGIT(bip.res, i, n & 0xFF);
+    n >>= 8;
+  }
+  while (--i >= 0 && GET_DIGIT(bip.res, i) == 0) ;
+  SET_ND(bip.res, i + 1);
+}
+
+
+/*
+ * conversion big --> int
+ *
+ * operand in bip.op1
+ * result is returned
+ */
+int bigToInt(void) {
+  int nd;
+  int i;
+  int res;
+
+  if (bip.op1 == NULL) {
+    nilRefException();
+  }
+  nd = GET_ND(bip.op1);
+  if (nd > 4 ||
+      (nd == 4 && GET_DIGIT(bip.op1, 3) >= 0x80)) {
+    fatalError("big integer too big for conversion to int");
+  }
+  res = 0;
+  for (i = nd - 1; i >= 0; i--) {
+    res <<= 8;
+    res |= (unsigned int) GET_DIGIT(bip.op1, i);
+  }
+  if (GET_SIGN(bip.op1) == BIG_NEGATIVE) {
+    res = -res;
+  }
+  return res;
+}
+
+
+/**************************************************************/
+
+/* big integer I/O */
+
+
+/*
+ * read a big integer
+ *
+ * stream to read from in parameter
+ * result in bip.res
+ */
+void bigRead(FILE *in) {
+  int c;
+  int positive;
+
+  c = fgetc(in);
+  while (isspace(c)) {
+    c = fgetc(in);
+  }
+  if (c == '-') {
+    positive = 0;
+    c = fgetc(in);
+  } else {
+    positive = 1;
+    if (c == '+') {
+      c = fgetc(in);
+    }
+  }
+  if (!isdigit(c)) {
+    fatalError("no digits in input");
+  }
+  bigFromInt(10);
+  bip.rem = bip.res;
+  bigFromInt(0);
+  while (isdigit(c)) {
+    bip.op1 = bip.res;
+    bip.op2 = bip.rem;
+    bigUmul();
+    bip.op1 = bip.res;
+    bigFromInt(c - '0');
+    bip.op2 = bip.res;
+    bigUadd();
+    c = fgetc(in);
+  }
+  ungetc(c, in);
+  if (positive || GET_ND(bip.res) == 0) {
+    SET_SIGN(bip.res, BIG_POSITIVE);
+  } else {
+    SET_SIGN(bip.res, BIG_NEGATIVE);
+  }
+}
+
+
+/*
+ * print a big integer
+ *
+ * stream to write to in parameter
+ * number to print in bip.op1
+ */
+void bigPrint(FILE *out) {
+  int nd;
+  unsigned char r;
+  int skipZero;
+
+  if (bip.op1 == NULL) {
+    nilRefException();
+  }
+  nd = GET_ND(bip.op1);
+  if (nd == 0) {
+    fprintf(out, "0");
+    return;
+  }
+  if (GET_SIGN(bip.op1) == BIG_NEGATIVE) {
+    fprintf(out, "-");
+  }
+  /* number of digits in base 10 = number of digits
+     in base 256 * log10(256), and log10(256) < 2.5  */
+  nd = 2 * nd + nd / 2;
+  bip.rem = bip.op1;
+  bigFromInt(10);
+  bip.op2 = bip.res;
+  bigFromInt(1);
+  while (nd != 0) {
+    bip.op1 = bip.res;
+    bigUmul();
+    nd--;
+  }
+  bip.op1 = bip.rem;
+  bip.op2 = bip.res;
+  skipZero = 1;
+  do {
+    bigUdiv();
+    if (GET_ND(bip.res) == 0) {
+      if (!skipZero) {
+        fprintf(out, "0");
+      }
+    } else {
+      if (GET_ND(bip.res) != 1) {
+        fatalError("internal library error #7 - THIS SHOULD NEVER HAPPEN!");
+      }
+      fprintf(out, "%c", GET_DIGIT(bip.res, 0) + '0');
+      skipZero = 0;
+    }
+    bip.op1 = bip.rem;
+    bip.rem = bip.op2;
+    r = bigUdiv1(10);
+    bip.op2 = bip.rem;
+  } while (r == 0);
+}
+
+
+/**************************************************************/
+
+/* debugging */
+
+
+/*
+ * dump a big integer object
+ */
+void bigDump(FILE *out, BigObjRef bigObjRef) {
+  int nd;
+  unsigned char sign;
+  int i;
+
+  if (bigObjRef == NULL) {
+    nilRefException();
+  }
+  nd = GET_ND(bigObjRef);
+  sign = GET_SIGN(bigObjRef);
+  fprintf(out, "[%d %c", nd, sign == BIG_POSITIVE ? '+' : '-');
+  for (i = 0; i < nd; i++) {
+    fprintf(out, " %02X", GET_DIGIT(bigObjRef, i));
+  }
+  fprintf(out, "]");
+}

bigint/src/bigint.h

@@ -0,0 +1,60 @@
+/*
+ * bigint.h -- big integer library
+ */
+
+
+#ifndef _BIGINT_H_
+#define _BIGINT_H_
+
+
+/* object representation */
+typedef void* BigObjRef;
+
+
+#include <stdio.h>
+
+
+typedef struct {
+  int nd;			/* number of digits; array may be bigger */
+				/* nd = 0 exactly when number = 0 */
+  unsigned char sign;		/* one of BIG_NEGATIVE or BIG_POSITIVE */
+				/* zero always has BIG_POSITIVE here */
+  unsigned char digits[1];	/* the digits proper; number base is 256 */
+				/* LS digit first; MS digit is not zero */
+} Big;
+
+#include "support.h"
+
+
+/* big integer processor registers */
+
+typedef struct {
+  BigObjRef op1;			/* first (or single) operand */
+  BigObjRef op2;			/* second operand (if present) */
+  BigObjRef res;			/* result of operation */
+  BigObjRef rem;			/* remainder in case of division */
+} BIP;
+
+extern BIP bip;			/* registers of the processor */
+
+
+/* big integer processor functions */
+
+int bigSgn(void);			/* sign */
+int bigCmp(void);			/* comparison */
+void bigNeg(void);			/* negation */
+void bigAdd(void);			/* addition */
+void bigSub(void);			/* subtraction */
+void bigMul(void);			/* multiplication */
+void bigDiv(void);			/* division */
+
+void bigFromInt(int n);			/* conversion int --> big */
+int bigToInt(void);			/* conversion big --> int */
+
+void bigRead(FILE *in);			/* read a big integer */
+void bigPrint(FILE *out);		/* print a big integer */
+
+void bigDump(FILE *out, BigObjRef bigObjRef);	/* dump a big integer object */
+
+
+#endif /* _BIGINT_H_ */

bigint/src/support.h

@@ -0,0 +1,15 @@
+/*
+ * support.h -- object representation and support functions
+ */
+
+
+#ifndef _SUPPORT_H_
+#define _SUPPORT_H_
+
+/* support functions */
+
+void fatalError(char *msg);		/* print a message and exit */
+void * newPrimObject(int dataSize);	/* create a new primitive object */
+void * getPrimObjectDataPointer(void * primObject);
+
+#endif /* _SUPPORT_H_ */

bigint/tst/Makefile

@@ -0,0 +1,28 @@
+#
+# Makefile for big integer test
+#
+
+BUILD = ../build
+
+CC = gcc
+CFLAGS = -g -Wall -I$(BUILD)/include
+LDFLAGS = -g -Wall -L$(BUILD)/lib
+LDLIBS = -lbigint
+
+all:		testbip
+
+install:	all
+		mkdir -p $(BUILD)/bin
+		cp testbip $(BUILD)/bin
+
+testbip:	testbip.o support.o
+		$(CC) $(LDFLAGS) -o testbip testbip.o support.o $(LDLIBS)
+
+testbip.o:	testbip.c
+		$(CC) $(CFLAGS) -o testbip.o -c testbip.c
+
+support.o:	support.c
+		$(CC) $(CFLAGS) -o support.o -c support.c
+
+clean:
+		rm -f *~ testbip.o support.o testbip

bigint/tst/support.c

@@ -0,0 +1,55 @@
+/*
+ * support.c -- support functions for big integer library
+ */
+
+
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "support.h"
+
+typedef struct {
+      unsigned int size;                /* byte count of payload data */
+        unsigned char data[1];  /* payload data, size as needed */
+} *ObjRef;
+
+
+/*
+ * This routine is called in case a fatal error has occurred.
+ * It should print the error message and terminate the program.
+ */
+void fatalError(char *msg) {
+  printf("Fatal error: %s\n", msg);
+  exit(1);
+}
+
+
+/*
+ * This function is called whenever a new primitive object with
+ * a certain amount of internal memory is needed. It should return
+ * an object reference to a regular object, which contains a freely
+ * usable memory area of at least the requested size (measured in
+ * bytes). The memory area need not be initialized in any way.
+ *
+ * Note that this function may move all objects in memory at will
+ * (due to, e.g., garbage collection), as long as the pointers in
+ * the global "bip" structure point to the correct objects when
+ * the function returns.
+ */
+void * newPrimObject(int dataSize) {
+  ObjRef bigObjRef;
+  int size = sizeof(unsigned int) + dataSize * sizeof(unsigned char);
+  bigObjRef = malloc(size);
+  bigObjRef->size = size;
+  if (bigObjRef == NULL) {
+    fatalError("newPrimObject() got no memory");
+  }
+  bigObjRef->size = size;
+  return bigObjRef;
+}
+
+void * getPrimObjectDataPointer(void * obj){
+    ObjRef oo = ((ObjRef)  (obj));
+    return oo->data;
+}
+

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-					<Add directory="C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug"/>
-					<Add directory="C:/Program Files (x86)/JetBrains/CLion 2023.1.5/bin/mingw/bin/../lib/gcc/x86_64-w64-mingw32/11.2.0/include"/>
-					<Add directory="C:/Program Files (x86)/JetBrains/CLion 2023.1.5/bin/mingw/bin/../lib/gcc/x86_64-w64-mingw32/11.2.0/../../../../include"/>
-					<Add directory="C:/Program Files (x86)/JetBrains/CLion 2023.1.5/bin/mingw/bin/../lib/gcc/x86_64-w64-mingw32/11.2.0/include-fixed"/>
-					<Add directory="C:/Program Files (x86)/JetBrains/CLion 2023.1.5/bin/mingw/bin/../lib/gcc/x86_64-w64-mingw32/11.2.0/../../../../x86_64-w64-mingw32/include"/>
-				</Compiler>
-				<MakeCommands>
-					<Build command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 ninja"/>
-					<CompileFile command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 &quot;$file&quot;"/>
-					<Clean command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 clean"/>
-					<DistClean command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 clean"/>
-				</MakeCommands>
-			</Target>
-			<Target title="ninja/fast">
-				<Option output="C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/ninja.exe" prefix_auto="0" extension_auto="0"/>
-				<Option working_dir="C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug"/>
-				<Option object_output="./"/>
-				<Option type="1"/>
-				<Option compiler="gcc"/>
-				<Compiler>
-					<Add directory="C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug"/>
-					<Add directory="C:/Program Files (x86)/JetBrains/CLion 2023.1.5/bin/mingw/bin/../lib/gcc/x86_64-w64-mingw32/11.2.0/include"/>
-					<Add directory="C:/Program Files (x86)/JetBrains/CLion 2023.1.5/bin/mingw/bin/../lib/gcc/x86_64-w64-mingw32/11.2.0/../../../../include"/>
-					<Add directory="C:/Program Files (x86)/JetBrains/CLion 2023.1.5/bin/mingw/bin/../lib/gcc/x86_64-w64-mingw32/11.2.0/include-fixed"/>
-					<Add directory="C:/Program Files (x86)/JetBrains/CLion 2023.1.5/bin/mingw/bin/../lib/gcc/x86_64-w64-mingw32/11.2.0/../../../../x86_64-w64-mingw32/include"/>
-				</Compiler>
-				<MakeCommands>
-					<Build command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 ninja/fast"/>
-					<CompileFile command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 &quot;$file&quot;"/>
-					<Clean command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 clean"/>
-					<DistClean command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 clean"/>
-				</MakeCommands>
-			</Target>
-			<Target title="edit_cache">
-				<Option working_dir="C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug"/>
-				<Option type="4"/>
-				<MakeCommands>
-					<Build command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 edit_cache"/>
-					<CompileFile command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 &quot;$file&quot;"/>
-					<Clean command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 clean"/>
-					<DistClean command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 clean"/>
-				</MakeCommands>
-			</Target>
-			<Target title="rebuild_cache">
-				<Option working_dir="C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug"/>
-				<Option type="4"/>
-				<MakeCommands>
-					<Build command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 rebuild_cache"/>
-					<CompileFile command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 &quot;$file&quot;"/>
-					<Clean command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 clean"/>
-					<DistClean command="C:/PROGRA~2/JETBRA~1/CLION2~1.5/bin/mingw/bin/mingw32-make.exe -f &quot;C:/Users/Nilss/CLionProjects/ninja/cmake-build-debug/Makefile&quot;  VERBOSE=1 clean"/>
-				</MakeCommands>
-			</Target>
-		</Build>
-		<Unit filename="C:/Users/Nilss/CLionProjects/ninja/config.h.in">
-			<Option target="ninja"/>
-		</Unit>
-		<Unit filename="C:/Users/Nilss/CLionProjects/ninja/njvm.c">
-			<Option target="ninja"/>
-		</Unit>
-		<Unit filename="C:/Users/Nilss/CLionProjects/ninja/CMakeLists.txt">
-			<Option virtualFolder="CMake Files\"/>
-		</Unit>
-		<Unit filename="C:/Users/Nilss/CLionProjects/ninja/config.h.in">
-			<Option virtualFolder="CMake Files\"/>
-		</Unit>
-	</Project>
-</CodeBlocks_project_file>

code.c

@@ -0,0 +1,38 @@
+#ifndef CODE
+
+#define CODE
+
+#include "instruktion.c"
+
+unsigned int code1[] = {
+  (PUSHC << 24) | IMMEDIATE(3),
+  (PUSHC << 24) | IMMEDIATE(4),
+  (ADD << 24),
+  (PUSHC << 24) | IMMEDIATE(10),
+  (PUSHC << 24) | IMMEDIATE(6),
+  (SUB << 24),
+  (MUL << 24),
+  (WRINT << 24),
+  (PUSHC << 24) | IMMEDIATE(10),
+  (WRCHR << 24),
+  (HALT)
+};
+unsigned int code2[] = {
+  (PUSHC << 24) | IMMEDIATE(SIGN_EXTEND(-2)),
+  (RDINT << 24),
+  (MUL << 24),
+  (PUSHC << 24) | IMMEDIATE(3),
+  (ADD << 24),
+  (WRINT << 24),
+  (PUSHC << 24) | IMMEDIATE('\n'),
+  (WRCHR << 24),
+  (HALT << 24)
+};
+unsigned int code3[] = {
+  (RDCHR << 24),
+  (WRINT << 24),
+  (PUSHC << 24) | IMMEDIATE('\n'),
+  (WRCHR << 24),
+  (HALT << 24)
+};
+#endif

codeReader.c

@@ -0,0 +1,37 @@
+#ifndef CODEREADER
+#define CODEREADER
+
+#include "consts.c"
+#include <stdio.h>
+#include <stdlib.h>
+#include "program.c"
+
+unsigned int fromFile(char *path, struct program program) {
+    unsigned int countInstructions;
+    unsigned int staticVars;
+    FILE *fptr;
+    fptr = fopen(path, "r");
+    if (fptr == NULL) {
+        printf("Error: cannot open code file %s", path);
+        exit(EXIT_FAILURE);
+    }
+    unsigned int buffer[4];
+    fread(buffer, 4, 4, fptr);
+    // Check file type
+    if (buffer[0] != 0x46424A4E) {
+        printf("Error: wrong file type");
+        exit(EXIT_FAILURE);
+    }
+    if (buffer[1] != VERSION) {
+        printf("Error: wrong version");
+        exit(EXIT_FAILURE);
+    }
+    countInstructions = buffer[2];
+    staticVars = buffer[3];
+    unsigned int instBuffer[countInstructions];
+    fread(instBuffer, 4, countInstructions, fptr);
+    copyToProgram(instBuffer, countInstructions, program);
+    return staticVars;
+}
+
+#endif /* ifdef CODEREADER */

compile_flags.txt

@@ -0,0 +1,3 @@
+-Ibigint/build/include
+-Lbigint/build/lib
+-lbigint

config.h.in

@@ -1 +0,0 @@
-#define PROJECT_VERSION @PROJECT_VERSION@

consts.c

@@ -0,0 +1,7 @@
+#ifndef CONSTS
+#define CONSTS
+#define VERSION 8
+
+#endif /* ifndef CONSTS
+#define CONSTS
+#define VERSION 2; */

debugMenu.c

@@ -0,0 +1,55 @@
+#ifndef DEBUGMENU
+#define DEBUGMENU
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include "stack.c"
+#include "stack.c"
+
+void inspect(struct stack s, int fp){
+  //todo Does not work dont know why
+  char input[20];
+  char ref[20];
+  char refStr[20];
+  printf("DEBUG [inspect]: stack, datam object?");
+  fgets(input,20,stdin);
+  if (input[0] == 's') printStack(s, fp);
+  if (input[0] == 'd'){/* todo */ }
+  if (input[0] == 'o'){
+    scanf("%19s",ref);
+    ObjRefContainer container;
+    for (int i = 0; i<= container.size; i++) {
+      sprintf(refStr, "%p", (void *)&container.refs[i]);
+      if(strcmp(ref, refStr) == 0) printf("Adress exists\n");
+      else printf("Adress doeas not exist\n");
+      printf("%s",refStr);
+    }
+  }
+}
+void list(void){
+  //todo
+}
+void breakpoint(int *bp){
+    printf("BREAKPOINT: ");
+    char input[20];
+    fgets(input,20,stdin);
+    *bp = atoi(input);
+}
+
+void debugMenu(int fp, struct stack stack, int* debug, int point, int* bp){
+  char input[20];
+  while (true) {
+    printf("DEBUG(%i): inspect, list, breakpoint, run, step, quit?",point);
+    fgets(input, 20, stdin);
+    printf("%s",input);
+    if(input[0] == 'i') {inspect(stack,fp);}
+    if(input[0] == 'l') list();
+    if(input[0] == 'b') breakpoint(bp);
+    if(input[0] == 's') break;
+    if(input[0] == 'r') {*debug = 0; break;};
+    if(input[0] == 'q') exit(0);
+    strcpy(input, "");
+  }
+}
+
+#endif /* ifndef DEBUGMENU */

factor.nj

@@ -0,0 +1,794 @@
+//
+// factor.nj -- factorize the numbers 10^n+1, n = 1..30
+//
+
+//--------------------------------------------------------------
+
+// handle list of factors
+
+type List = record {
+  Integer value;
+  List next;
+};
+
+List addToList(Integer value, List next) {
+  local List newList;
+  newList = new(List);
+  newList.value = value;
+  newList.next = next;
+  return newList;
+}
+
+List sortList(List list) {
+  local List result;
+  local List element;
+  local List p;
+  result = nil;
+  while (list != nil) {
+    element = list;
+    list = list.next;
+    if (result == nil || element.value < result.value) {
+      element.next = result;
+      result = element;
+    } else {
+      p = result;
+      while (p.next != nil && element.value >= p.next.value) {
+        p = p.next;
+      }
+      element.next = p.next;
+      p.next = element;
+    }
+  }
+  return result;
+}
+
+void showList(List list) {
+  if (list == nil) {
+    writeString("1");
+  } else {
+    while (true) {
+      writeInteger(list.value);
+      list = list.next;
+      if (list == nil) {
+        break;
+      }
+      writeString(" * ");
+    }
+  }
+  writeString("\n");
+}
+
+Integer evalList(List list) {
+  local Integer result;
+  result = 1;
+  while (list != nil) {
+    result = result * list.value;
+    list = list.next;
+  }
+  return result;
+}
+
+List fuseLists(List list1, List list2) {
+  local List element;
+  while (list1 != nil) {
+    element = list1;
+    list1 = list1.next;
+    element.next = list2;
+    list2 = element;
+  }
+  return list2;
+}
+
+//--------------------------------------------------------------
+
+// compute 10^n+1
+
+Integer computeTarget(Integer n) {
+  local Integer x;
+  local Integer i;
+  x = 1;
+  i = 0;
+  while (i < n) {
+    x = x * 10;
+    i = i + 1;
+  }
+  x = x + 1;
+  return x;
+}
+
+void testComputeTarget() {
+  writeString("computeTarget()\n");
+  writeString("---------------\n");
+  writeString("target(1) = ");
+  writeInteger(computeTarget(1));
+  writeString("\n");
+  writeString("target(2) = ");
+  writeInteger(computeTarget(2));
+  writeString("\n");
+  writeString("target(3) = ");
+  writeInteger(computeTarget(3));
+  writeString("\n");
+  writeString("target(4) = ");
+  writeInteger(computeTarget(4));
+  writeString("\n");
+  writeString("\n");
+}
+
+//--------------------------------------------------------------
+
+// build a table of small primes
+
+global Integer smallPrimesLimit;
+
+global Integer[] primes;
+global Integer numPrimes;
+
+void showSmallPrimes() {
+  local Integer i;
+  local Integer k;
+  i = 0;
+  k = 0;
+  while (i < numPrimes) {
+    writeInteger(primes[i]);
+    writeString("  ");
+    k = k + 1;
+    if (k == 8) {
+      k = 0;
+      writeString("\n");
+    }
+    i = i + 1;
+  }
+  if (k != 0) {
+    writeString("\n");
+  }
+}
+
+void enterSmallPrime(Integer p) {
+  local Integer n;
+  local Integer[] a;
+  local Integer i;
+  if (sizeof(primes) == numPrimes) {
+    n = 2 * numPrimes;
+    a = new(Integer[n]);
+    i = 0;
+    while (i < numPrimes) {
+      a[i] = primes[i];
+      i = i + 1;
+    }
+    primes = a;
+  }
+  primes[numPrimes] = p;
+  numPrimes = numPrimes + 1;
+}
+
+Boolean isPrime(Integer n) {
+  local Integer t;
+  t = 3;
+  while (t * t <= n) {
+    if (n % t == 0) {
+      return false;
+    }
+    t = t + 2;
+  }
+  return true;
+}
+
+void calcSmallPrimes(Integer limit) {
+  local Integer i;
+  smallPrimesLimit = limit;
+  primes = new(Integer[256]);
+  numPrimes = 0;
+  enterSmallPrime(2);
+  enterSmallPrime(3);
+  i = 5;
+  while (true) {
+    if (i > smallPrimesLimit) {
+      break;
+    }
+    if (isPrime(i)) {
+      enterSmallPrime(i);
+    }
+    i = i + 2;
+    if (i > smallPrimesLimit) {
+      break;
+    }
+    if (isPrime(i)) {
+      enterSmallPrime(i);
+    }
+    i = i + 4;
+  }
+}
+
+void testCalcSmallPrimes() {
+  writeString("calcSmallPrimes()\n");
+  writeString("-----------------\n");
+  writeString("primes less than or equal to 100:\n");
+  calcSmallPrimes(100);
+  showSmallPrimes();
+  writeString("number of primes less than or equal to 100: ");
+  writeInteger(numPrimes);
+  writeString("\n");
+  calcSmallPrimes(1000);
+  writeString("number of primes less than or equal to 1000: ");
+  writeInteger(numPrimes);
+  writeString("\n");
+  calcSmallPrimes(10000);
+  writeString("number of primes less than or equal to 10000: ");
+  writeInteger(numPrimes);
+  writeString("\n");
+  calcSmallPrimes(100000);
+  writeString("number of primes less than or equal to 100000: ");
+  writeInteger(numPrimes);
+  writeString("\n");
+  writeString("\n");
+}
+
+//--------------------------------------------------------------
+
+// try to find a small prime factor of a given number
+
+Integer smallPrimeFactor(Integer n) {
+  local Integer i;
+  i = 0;
+  while (i < numPrimes) {
+    if (n % primes[i] == 0) {
+      // prime factor found
+      return primes[i];
+    }
+    i = i + 1;
+  }
+  // no prime factor less than or equal to smallPrimesLimit found
+  return 0;
+}
+
+void testSmallPrimeFactor() {
+  calcSmallPrimes(10000);
+  writeString("smallPrimeFactor()\n");
+  writeString("------------------\n");
+  writeString("small prime factor of 2: ");
+  writeInteger(smallPrimeFactor(2));
+  writeString("\n");
+  writeString("small prime factor of 222: ");
+  writeInteger(smallPrimeFactor(222));
+  writeString("\n");
+  writeString("small prime factor of 17*19*23: ");
+  writeInteger(smallPrimeFactor(17*19*23));
+  writeString("\n");
+  writeString("small prime factor of 7919: ");
+  writeInteger(smallPrimeFactor(7919));
+  writeString("\n");
+  writeString("small prime factor of 987654323: ");
+  writeInteger(smallPrimeFactor(987654323));
+  writeString("\n");
+  writeString("\n");
+}
+
+//--------------------------------------------------------------
+
+// compute b^n mod m
+
+Integer powerMod(Integer b, Integer n, Integer m) {
+  local Integer a;
+  a = 1;
+  while (n != 0) {
+    if (n % 2 == 0) {
+      b = (b * b) % m;
+      n = n / 2;
+    } else {
+      a = (a * b) % m;
+      n = n - 1;
+    }
+  }
+  return a;
+}
+
+void testPowerMod() {
+  writeString("powerMod()\n");
+  writeString("----------\n");
+  writeString("2^16 mod 7: ");
+  writeInteger(powerMod(2, 16, 7));
+  writeString("\n");
+  writeString("3^10 mod 19: ");
+  writeInteger(powerMod(3, 10, 19));
+  writeString("\n");
+  writeString("123^987654323 mod 987654323: ");
+  writeInteger(powerMod(123, 987654323, 987654323));
+  writeString("\n");
+  writeString("\n");
+}
+
+//--------------------------------------------------------------
+
+// compute greatest common divisor
+
+Integer GCD(Integer a, Integer b) {
+  local Integer r;
+  if (a < 0) {
+    a = -a;
+  }
+  if (b < 0) {
+    b = -b;
+  }
+  while (b != 0) {
+    r = a % b;
+    a = b;
+    b = r;
+  }
+  return a;
+}
+
+void testGCD() {
+  writeString("GCD()\n");
+  writeString("-----\n");
+  writeString("GCD(3*5*5*11*37, 2*2*5*37*53) = ");
+  writeInteger(GCD(3*5*5*11*37, 2*2*5*37*53));
+  writeString("\n");
+  writeString("\n");
+}
+
+//--------------------------------------------------------------
+
+// Rabin-Miller test
+
+Boolean isComposite(Integer n) {
+  local Integer q;
+  local Integer t;
+  local Integer i;
+  local Integer a;
+  local Integer e;
+  local Integer b;
+  q = n - 1;
+  t = 0;
+  while (q % 2 == 0) {
+    q = q / 2;
+    t = t + 1;
+  }
+  i = 0;
+  while (i < 20) {
+    a = primes[i];
+    if (a >= n) {
+      break;
+    }
+    e = 0;
+    b = powerMod(a, q, n);
+    if (b != 1) {
+      while (b != 1 && b != n - 1 && e <= t - 2) {
+        b = (b * b) % n;
+        e = e + 1;
+      }
+      if (b != n - 1) {
+        return true;
+      }
+    }
+    i = i + 1;
+  }
+  return false;
+}
+
+void testIsComposite() {
+  local Integer n;
+  local Integer k;
+  writeString("isComposite()\n");
+  writeString("-------------\n");
+  writeString("odd numbers in [3..99] which are probably prime:\n");
+  n = 3;
+  k = 0;
+  while (n < 100) {
+    if (!isComposite(n)) {
+      writeInteger(n);
+      writeString("  ");
+      k = k + 1;
+      if (k == 8) {
+        k = 0;
+        writeString("\n");
+      }
+    }
+    n = n + 2;
+  }
+  if (k != 0) {
+    writeString("\n");
+  }
+  n = 1234567;
+  while (n < 1234607) {
+    writeInteger(n);
+    writeString(" is ");
+    if (isComposite(n)) {
+      writeString("definitely composite\n");
+    } else {
+      writeString("probably prime\n");
+    }
+    n = n + 2;
+  }
+  writeString("\n");
+}
+
+//--------------------------------------------------------------
+
+Boolean provePrime(Integer n) {
+  // not implemented yet
+  return false;
+}
+
+void testProvePrime() {
+  writeString("provePrime()\n");
+  writeString("------------\n");
+  writeString("<not implemented yet>\n");
+  writeString("\n");
+}
+
+//--------------------------------------------------------------
+
+// Pollard's rho method
+
+Integer findFactor1(Integer n) {
+  local Integer y;
+  local Integer x;
+  local Integer x1;
+  local Integer k;
+  local Integer l;
+  local Integer p;
+  local Integer c;
+  local Integer g;
+  local Integer r;
+  y = 2;
+  x = 2;
+  x1 = 2;
+  k = 1;
+  l = 1;
+  p = 1;
+  c = 0;
+  while (true) {
+    x = (x * x + 1) % n;
+    p = (p * (x1 - x)) % n;
+    c = c + 1;
+    if (c == 20) {
+      g = GCD(p, n);
+      if (g > 1) {
+        break;
+      }
+      y = x;
+      c = 0;
+    }
+    k = k - 1;
+    if (k == 0) {
+      g = GCD(p, n);
+      if (g > 1) {
+        break;
+      }
+      x1 = x;
+      k = l;
+      l = 2 * l;
+      r = 0;
+      while (r < k) {
+        x = (x * x + 1) % n;
+        r = r + 1;
+      }
+      y = x;
+      c = 0;
+    }
+  }
+  do {
+    y = (y * y + 1) % n;
+    g = GCD(x1 - y, n);
+  } while (g == 1);
+  if (g < n) {
+    return g;
+  } else {
+    return 0;
+  }
+}
+
+Integer findFactor2(Integer n) {
+  local Integer y;
+  local Integer x;
+  local Integer x1;
+  local Integer k;
+  local Integer l;
+  local Integer p;
+  local Integer c;
+  local Integer g;
+  local Integer r;
+  y = 2;
+  x = 2;
+  x1 = 2;
+  k = 1;
+  l = 1;
+  p = 1;
+  c = 0;
+  while (true) {
+    x = (x * x - 1) % n;
+    p = (p * (x1 - x)) % n;
+    c = c + 1;
+    if (c == 20) {
+      g = GCD(p, n);
+      if (g > 1) {
+        break;
+      }
+      y = x;
+      c = 0;
+    }
+    k = k - 1;
+    if (k == 0) {
+      g = GCD(p, n);
+      if (g > 1) {
+        break;
+      }
+      x1 = x;
+      k = l;
+      l = 2 * l;
+      r = 0;
+      while (r < k) {
+        x = (x * x - 1) % n;
+        r = r + 1;
+      }
+      y = x;
+      c = 0;
+    }
+  }
+  do {
+    y = (y * y - 1) % n;
+    g = GCD(x1 - y, n);
+  } while (g == 1);
+  if (g < n) {
+    return g;
+  } else {
+    return 0;
+  }
+}
+
+Integer findFactor3(Integer n) {
+  local Integer y;
+  local Integer x;
+  local Integer x1;
+  local Integer k;
+  local Integer l;
+  local Integer p;
+  local Integer c;
+  local Integer g;
+  local Integer r;
+  y = 2;
+  x = 2;
+  x1 = 2;
+  k = 1;
+  l = 1;
+  p = 1;
+  c = 0;
+  while (true) {
+    x = (x * x + 3) % n;
+    p = (p * (x1 - x)) % n;
+    c = c + 1;
+    if (c == 20) {
+      g = GCD(p, n);
+      if (g > 1) {
+        break;
+      }
+      y = x;
+      c = 0;
+    }
+    k = k - 1;
+    if (k == 0) {
+      g = GCD(p, n);
+      if (g > 1) {
+        break;
+      }
+      x1 = x;
+      k = l;
+      l = 2 * l;
+      r = 0;
+      while (r < k) {
+        x = (x * x + 3) % n;
+        r = r + 1;
+      }
+      y = x;
+      c = 0;
+    }
+  }
+  do {
+    y = (y * y + 3) % n;
+    g = GCD(x1 - y, n);
+  } while (g == 1);
+  if (g < n) {
+    return g;
+  } else {
+    return 0;
+  }
+}
+
+Integer findFactor(Integer n) {
+  local Integer r;
+  r = findFactor1(n);
+  if (r != 0) {
+    return r;
+  }
+  r = findFactor2(n);
+  if (r != 0) {
+    return r;
+  }
+  r = findFactor3(n);
+  return r;
+}
+
+void testFindFactor() {
+  writeString("findFactor()\n");
+  writeString("------------\n");
+  writeString("5*5*5 = ");
+  writeInteger(5*5*5);
+  writeString(" is a multiple of ");
+  writeInteger(findFactor(5*5*5));
+  writeString("\n");
+  writeString("4421*5743*7699 = ");
+  writeInteger(4421*5743*7699);
+  writeString(" is a multiple of ");
+  writeInteger(findFactor(4421*5743*7699));
+  writeString("\n");
+  writeInteger(9999000099990001);
+  writeString(" is a multiple of ");
+  writeInteger(findFactor(9999000099990001));
+  writeString("\n");
+  writeString("\n");
+}
+
+//--------------------------------------------------------------
+
+List factorize(Integer x, Boolean verbose) {
+  local List factors;
+  local Integer f;
+  local Integer f1;
+  local Integer f2;
+  local List moreFactors;
+  if (verbose) {
+    writeString("factorize(");
+    writeInteger(x);
+    writeString(")\n");
+  }
+  factors = nil;
+  while (x > 1) {
+    f = smallPrimeFactor(x);
+    if (f == 0) {
+      // no small prime factor found
+      if (x < smallPrimesLimit * smallPrimesLimit) {
+        // we know that x is prime
+        f = x;
+      } else {
+        // we don't know anything
+        break;
+      }
+    }
+    if (verbose) {
+      writeString("detected small prime factor ");
+      writeInteger(f);
+      writeString("\n");
+    }
+    factors = addToList(f, factors);
+    x = x / f;
+  }
+  if (x == 1) {
+    // x has been completely factorized
+    if (verbose) {
+      writeString("the number has been completely factorized\n");
+    }
+    return factors;
+  }
+  if (verbose) {
+    writeString("interim result:\n    the remaining factor ");
+    writeInteger(x);
+    writeString("\n    doesn't have any prime factors < ");
+    writeInteger(smallPrimesLimit);
+    writeString("\n    ");
+  }
+  if (isComposite(x)) {
+    // x is definitely composite
+    if (verbose) {
+      writeString("but is definitely composite\n");
+    }
+    f1 = findFactor(x);
+    if (f1 == 0) {
+      // cannot factorize x, give up
+      writeString("cannot factorize ");
+      writeInteger(x);
+      writeString(", giving up\n");
+      factors = addToList(x, factors);
+    } else {
+      // x = f1 * f2
+      f2 = x / f1;
+      if (verbose) {
+        writeString("this number can be split into ");
+        writeInteger(f1);
+        writeString(" and ");
+        writeInteger(f2);
+        writeString("\n");
+      }
+      moreFactors = factorize(f1, verbose);
+      factors = fuseLists(moreFactors, factors);
+      moreFactors = factorize(f2, verbose);
+      factors = fuseLists(moreFactors, factors);
+    }
+  } else {
+    // x is very probably prime
+    if (verbose) {
+      writeString("and is very probably prime\n");
+    }
+    if (provePrime(x)) {
+      if (verbose) {
+        writeString("the primality of ");
+        writeInteger(x);
+        writeString(" has been proven\n");
+      }
+    } else {
+      writeString("cannot prove the primality of ");
+      writeInteger(x);
+      writeString(", giving up\n");
+    }
+    factors = addToList(x, factors);
+  }
+  return factors;
+}
+
+void testFactorize(Boolean verbose) {
+  local List factors;
+  writeString("factorize()\n");
+  writeString("-----------\n");
+  calcSmallPrimes(7);
+  showSmallPrimes();
+  writeString("3*5*7*7*141*49 = \n");
+  factors = factorize(3*5*7*7*141*49, verbose);
+  showList(sortList(factors));
+  writeString("\n");
+}
+
+//--------------------------------------------------------------
+
+void showBar() {
+  writeString("---------------------------------");
+  writeString("-------------------------------\n");
+}
+
+void run(Boolean verbose) {
+  local Integer i;
+  local Integer x;
+  local List factors;
+  local Integer y;
+  calcSmallPrimes(10000);
+  showBar();
+  i = 1;
+  while (i <= 30) {
+    writeString("10^");
+    writeInteger(i);
+    writeString("+1 = ");
+    x = computeTarget(i);
+    writeInteger(x);
+    writeString(" = \n");
+    factors = factorize(x, verbose);
+    factors = sortList(factors);
+    showList(factors);
+    writeString("check: product = ");
+    y = evalList(factors);
+    writeInteger(y);
+    writeString("\n");
+    showBar();
+    i = i+ 1;
+  }
+}
+
+//--------------------------------------------------------------
+
+void tests(Boolean verbose) {
+  writeString("\nTests\n");
+  writeString("=====\n\n");
+  testComputeTarget();
+  testCalcSmallPrimes();
+  testSmallPrimeFactor();
+  testPowerMod();
+  testGCD();
+  testIsComposite();
+  testProvePrime();
+  testFindFactor();
+  testFactorize(verbose);
+}
+
+//--------------------------------------------------------------
+
+void main() {
+  //tests(true);
+  run(true);
+}

heap.c

@@ -0,0 +1,33 @@
+//
+// Created by Elias Bennour on 28.01.24.
+//
+
+#ifndef HEAP
+#define HEAP
+
+#include <stdlib.h>
+#include <stdio.h>
+
+int maxHeapSize = 8192 * 1024;
+
+void* my_malloc(size_t size) {
+    static size_t total_allocated = 0;
+
+    if (total_allocated + size > maxHeapSize) {
+        perror("Memory limit exceeded\n");
+        exit(1);
+    }
+
+    void* ptr = malloc(size);
+    if (ptr != NULL) {
+        total_allocated += size;
+    }
+
+    return ptr;
+}
+
+void initHeap(int size) {
+    maxHeapSize = size;
+}
+
+#endif //NINJA_NJVM_H

heap.h

@@ -0,0 +1,12 @@
+//
+// Created by Elias Bennour on 28.01.24.
+//
+
+#ifndef NINJA_HEAP_H
+#define NINJA_HEAP_H
+
+#include <stdlib.h>
+
+void* my_malloc(size_t size);
+
+#endif //NINJA_HEAP_H

instruktion.c

@@ -0,0 +1,54 @@
+#ifndef INSREUKTION
+#define INSREUKTION
+
+#define IMMEDIATE(x) ((x) & 0x00FFFFFF)
+#define MSB (1 << (8 * sizeof(unsigned int) - 1))
+#define IS_PRIMITIVE(objRef) (((objRef)->size & MSB) == 0)
+#define SIGN_EXTEND(i) ((i) & 0x00800000 ? (i) | 0xFF000000 : (i))
+#define GET_ELEMENT_COUNT(objRef) ((objRef)->size & ~MSB)
+#define GET_REFS_PTR(objRef) ((ObjRef *) (objRef)-> data)
+
+#define HALT 0
+#define PUSHC 1
+#define ADD 2
+#define SUB 3
+#define MUL 4
+#define DIV 5
+#define MOD 6
+#define RDINT 7
+#define WRINT 8
+#define RDCHR 9
+#define WRCHR 10
+#define PUSHG 11
+#define POPG 12
+#define ASF 13
+#define RSF 14
+#define PUSHL 15
+#define POPL 16
+#define EQ 17
+#define NE 18
+#define LT 19
+#define LE 20
+#define GT 21
+#define GE 22
+#define JMP 23
+#define BRF 24
+#define BRT 25
+#define CALL 26
+#define RET 27
+#define DROP 28
+#define PUSHR 29
+#define POPR 30
+#define DUP 31
+#define NEW 32
+#define GETF 33
+#define PUTF 34
+#define NEWA 35
+#define GETFA 36
+#define PUTFA 37
+#define GETSZ 38
+#define PUSHN 39
+#define REFEQ 40
+#define REFNE 41
+
+#endif /* ifndef INSREUKTION */

matinv.asm

@@ -0,0 +1,778 @@
+//
+// version
+//
+	.vers	8
+
+//
+// execution framework
+//
+__start:
+	call	_main
+	call	_exit
+__stop:
+	jmp	__stop
+
+//
+// Integer readInteger()
+//
+_readInteger:
+	asf	0
+	rdint
+	popr
+	rsf
+	ret
+
+//
+// void writeInteger(Integer)
+//
+_writeInteger:
+	asf	0
+	pushl	-3
+	wrint
+	rsf
+	ret
+
+//
+// Character readCharacter()
+//
+_readCharacter:
+	asf	0
+	rdchr
+	popr
+	rsf
+	ret
+
+//
+// void writeCharacter(Character)
+//
+_writeCharacter:
+	asf	0
+	pushl	-3
+	wrchr
+	rsf
+	ret
+
+//
+// Integer char2int(Character)
+//
+_char2int:
+	asf	0
+	pushl	-3
+	popr
+	rsf
+	ret
+
+//
+// Character int2char(Integer)
+//
+_int2char:
+	asf	0
+	pushl	-3
+	popr
+	rsf
+	ret
+
+//
+// void exit()
+//
+_exit:
+	asf	0
+	halt
+	rsf
+	ret
+
+//
+// void writeString(String)
+//
+_writeString:
+	asf	1
+	pushc	0
+	popl	0
+	jmp	_writeString_L2
+_writeString_L1:
+	pushl	-3
+	pushl	0
+	getfa
+	call	_writeCharacter
+	drop	1
+	pushl	0
+	pushc	1
+	add
+	popl	0
+_writeString_L2:
+	pushl	0
+	pushl	-3
+	getsz
+	lt
+	brt	_writeString_L1
+	rsf
+	ret
+
+//
+// Integer gcd(Integer, Integer)
+//
+_gcd:
+	asf	1
+	jmp	__2
+__1:
+	pushl	-4
+	pushl	-3
+	mod
+	popl	0
+	pushl	-3
+	popl	-4
+	pushl	0
+	popl	-3
+__2:
+	pushl	-3
+	pushc	0
+	ne
+	brt	__1
+__3:
+	pushl	-4
+	popr
+	jmp	__0
+__0:
+	rsf
+	ret
+
+//
+// record { Integer num; Integer den; } newFraction(Integer, Integer)
+//
+_newFraction:
+	asf	4
+	pushl	-4
+	pushc	0
+	lt
+	brf	__5
+	pushc	0
+	pushl	-4
+	sub
+	popl	0
+	jmp	__6
+__5:
+	pushl	-4
+	popl	0
+__6:
+	pushl	-3
+	pushc	0
+	lt
+	brf	__7
+	pushc	0
+	pushl	-3
+	sub
+	popl	1
+	jmp	__8
+__7:
+	pushl	-3
+	popl	1
+__8:
+	pushl	0
+	pushl	1
+	call	_gcd
+	drop	2
+	pushr
+	popl	2
+	new	2
+	popl	3
+	pushl	-4
+	pushc	0
+	lt
+	pushl	-3
+	pushc	0
+	lt
+	ne
+	brf	__9
+	pushl	3
+	pushc	0
+	pushl	0
+	sub
+	pushl	2
+	div
+	putf	0
+	jmp	__10
+__9:
+	pushl	3
+	pushl	0
+	pushl	2
+	div
+	putf	0
+__10:
+	pushl	3
+	pushl	1
+	pushl	2
+	div
+	putf	1
+	pushl	3
+	popr
+	jmp	__4
+__4:
+	rsf
+	ret
+
+//
+// void writeFraction(record { Integer num; Integer den; })
+//
+_writeFraction:
+	asf	0
+	pushl	-3
+	getf	0
+	call	_writeInteger
+	drop	1
+	pushc	1
+	newa
+	dup
+	pushc	0
+	pushc	47
+	putfa
+	call	_writeString
+	drop	1
+	pushl	-3
+	getf	1
+	call	_writeInteger
+	drop	1
+__11:
+	rsf
+	ret
+
+//
+// record { Integer num; Integer den; } negFraction(record { Integer num; Integer den; })
+//
+_negFraction:
+	asf	0
+	pushc	0
+	pushl	-3
+	getf	0
+	sub
+	pushl	-3
+	getf	1
+	call	_newFraction
+	drop	2
+	pushr
+	popr
+	jmp	__12
+__12:
+	rsf
+	ret
+
+//
+// record { Integer num; Integer den; } addFraction(record { Integer num; Integer den; }, record { Integer num; Integer den; })
+//
+_addFraction:
+	asf	0
+	pushl	-4
+	getf	0
+	pushl	-3
+	getf	1
+	mul
+	pushl	-3
+	getf	0
+	pushl	-4
+	getf	1
+	mul
+	add
+	pushl	-4
+	getf	1
+	pushl	-3
+	getf	1
+	mul
+	call	_newFraction
+	drop	2
+	pushr
+	popr
+	jmp	__13
+__13:
+	rsf
+	ret
+
+//
+// record { Integer num; Integer den; } subFraction(record { Integer num; Integer den; }, record { Integer num; Integer den; })
+//
+_subFraction:
+	asf	0
+	pushl	-4
+	getf	0
+	pushl	-3
+	getf	1
+	mul
+	pushl	-3
+	getf	0
+	pushl	-4
+	getf	1
+	mul
+	sub
+	pushl	-4
+	getf	1
+	pushl	-3
+	getf	1
+	mul
+	call	_newFraction
+	drop	2
+	pushr
+	popr
+	jmp	__14
+__14:
+	rsf
+	ret
+
+//
+// record { Integer num; Integer den; } mulFraction(record { Integer num; Integer den; }, record { Integer num; Integer den; })
+//
+_mulFraction:
+	asf	0
+	pushl	-4
+	getf	0
+	pushl	-3
+	getf	0
+	mul
+	pushl	-4
+	getf	1
+	pushl	-3
+	getf	1
+	mul
+	call	_newFraction
+	drop	2
+	pushr
+	popr
+	jmp	__15
+__15:
+	rsf
+	ret
+
+//
+// record { Integer num; Integer den; } divFraction(record { Integer num; Integer den; }, record { Integer num; Integer den; })
+//
+_divFraction:
+	asf	0
+	pushl	-4
+	getf	0
+	pushl	-3
+	getf	1
+	mul
+	pushl	-4
+	getf	1
+	pushl	-3
+	getf	0
+	mul
+	call	_newFraction
+	drop	2
+	pushr
+	popr
+	jmp	__16
+__16:
+	rsf
+	ret
+
+//
+// Fraction[][] newMatrix(record { Integer num; Integer den; }, record { Integer num; Integer den; }, record { Integer num; Integer den; }, record { Integer num; Integer den; })
+//
+_newMatrix:
+	asf	1
+	pushc	2
+	newa
+	popl	0
+	pushl	0
+	pushc	0
+	pushc	2
+	newa
+	putfa
+	pushl	0
+	pushc	1
+	pushc	2
+	newa
+	putfa
+	pushl	0
+	pushc	0
+	getfa
+	pushc	0
+	pushl	-6
+	putfa
+	pushl	0
+	pushc	0
+	getfa
+	pushc	1
+	pushl	-5
+	putfa
+	pushl	0
+	pushc	1
+	getfa
+	pushc	0
+	pushl	-4
+	putfa
+	pushl	0
+	pushc	1
+	getfa
+	pushc	1
+	pushl	-3
+	putfa
+	pushl	0
+	popr
+	jmp	__17
+__17:
+	rsf
+	ret
+
+//
+// void writeMatrix(Fraction[][])
+//
+_writeMatrix:
+	asf	2
+	pushc	0
+	popl	0
+	jmp	__20
+__19:
+	pushc	0
+	popl	1
+	jmp	__23
+__22:
+	pushl	-3
+	pushl	0
+	getfa
+	pushl	1
+	getfa
+	call	_writeFraction
+	drop	1
+	pushc	2
+	newa
+	dup
+	pushc	0
+	pushc	32
+	putfa
+	dup
+	pushc	1
+	pushc	32
+	putfa
+	call	_writeString
+	drop	1
+	pushl	1
+	pushc	1
+	add
+	popl	1
+__23:
+	pushl	1
+	pushl	-3
+	pushl	0
+	getfa
+	getsz
+	lt
+	brt	__22
+__24:
+	pushc	1
+	newa
+	dup
+	pushc	0
+	pushc	10
+	putfa
+	call	_writeString
+	drop	1
+	pushl	0
+	pushc	1
+	add
+	popl	0
+__20:
+	pushl	0
+	pushl	-3
+	getsz
+	lt
+	brt	__19
+__21:
+	pushc	1
+	newa
+	dup
+	pushc	0
+	pushc	10
+	putfa
+	call	_writeString
+	drop	1
+__18:
+	rsf
+	ret
+
+//
+// Fraction[][] invertMatrix(Fraction[][])
+//
+_invertMatrix:
+	asf	1
+	pushl	-3
+	pushc	0
+	getfa
+	pushc	0
+	getfa
+	pushl	-3
+	pushc	1
+	getfa
+	pushc	1
+	getfa
+	call	_mulFraction
+	drop	2
+	pushr
+	pushl	-3
+	pushc	0
+	getfa
+	pushc	1
+	getfa
+	pushl	-3
+	pushc	1
+	getfa
+	pushc	0
+	getfa
+	call	_mulFraction
+	drop	2
+	pushr
+	call	_subFraction
+	drop	2
+	pushr
+	popl	0
+	pushl	0
+	getf	0
+	pushc	0
+	eq
+	brf	__26
+	pushc	33
+	newa
+	dup
+	pushc	0
+	pushc	101
+	putfa
+	dup
+	pushc	1
+	pushc	114
+	putfa
+	dup
+	pushc	2
+	pushc	114
+	putfa
+	dup
+	pushc	3
+	pushc	111
+	putfa
+	dup
+	pushc	4
+	pushc	114
+	putfa
+	dup
+	pushc	5
+	pushc	58
+	putfa
+	dup
+	pushc	6
+	pushc	32
+	putfa
+	dup
+	pushc	7
+	pushc	109
+	putfa
+	dup
+	pushc	8
+	pushc	97
+	putfa
+	dup
+	pushc	9
+	pushc	116
+	putfa
+	dup
+	pushc	10
+	pushc	114
+	putfa
+	dup
+	pushc	11
+	pushc	105
+	putfa
+	dup
+	pushc	12
+	pushc	120
+	putfa
+	dup
+	pushc	13
+	pushc	32
+	putfa
+	dup
+	pushc	14
+	pushc	99
+	putfa
+	dup
+	pushc	15
+	pushc	97
+	putfa
+	dup
+	pushc	16
+	pushc	110
+	putfa
+	dup
+	pushc	17
+	pushc	110
+	putfa
+	dup
+	pushc	18
+	pushc	111
+	putfa
+	dup
+	pushc	19
+	pushc	116
+	putfa
+	dup
+	pushc	20
+	pushc	32
+	putfa
+	dup
+	pushc	21
+	pushc	98
+	putfa
+	dup
+	pushc	22
+	pushc	101
+	putfa
+	dup
+	pushc	23
+	pushc	32
+	putfa
+	dup
+	pushc	24
+	pushc	105
+	putfa
+	dup
+	pushc	25
+	pushc	110
+	putfa
+	dup
+	pushc	26
+	pushc	118
+	putfa
+	dup
+	pushc	27
+	pushc	101
+	putfa
+	dup
+	pushc	28
+	pushc	114
+	putfa
+	dup
+	pushc	29
+	pushc	116
+	putfa
+	dup
+	pushc	30
+	pushc	101
+	putfa
+	dup
+	pushc	31
+	pushc	100
+	putfa
+	dup
+	pushc	32
+	pushc	10
+	putfa
+	call	_writeString
+	drop	1
+	call	_exit
+__26:
+	pushl	-3
+	pushc	1
+	getfa
+	pushc	1
+	getfa
+	pushl	0
+	call	_divFraction
+	drop	2
+	pushr
+	pushl	-3
+	pushc	0
+	getfa
+	pushc	1
+	getfa
+	call	_negFraction
+	drop	1
+	pushr
+	pushl	0
+	call	_divFraction
+	drop	2
+	pushr
+	pushl	-3
+	pushc	1
+	getfa
+	pushc	0
+	getfa
+	call	_negFraction
+	drop	1
+	pushr
+	pushl	0
+	call	_divFraction
+	drop	2
+	pushr
+	pushl	-3
+	pushc	0
+	getfa
+	pushc	0
+	getfa
+	pushl	0
+	call	_divFraction
+	drop	2
+	pushr
+	call	_newMatrix
+	drop	4
+	pushr
+	popr
+	jmp	__25
+__25:
+	rsf
+	ret
+
+//
+// void main()
+//
+_main:
+	asf	3
+	pushc	1
+	newa
+	dup
+	pushc	0
+	pushc	10
+	putfa
+	call	_writeString
+	drop	1
+	pushc	7
+	pushc	1
+	call	_newFraction
+	drop	2
+	pushr
+	pushc	4
+	pushc	1
+	call	_newFraction
+	drop	2
+	pushr
+	pushc	6
+	pushc	1
+	call	_newFraction
+	drop	2
+	pushr
+	pushc	5
+	pushc	1
+	call	_newFraction
+	drop	2
+	pushr
+	call	_newMatrix
+	drop	4
+	pushr
+	popl	0
+	pushl	0
+	call	_writeMatrix
+	drop	1
+	pushl	0
+	call	_invertMatrix
+	drop	1
+	pushr
+	popl	1
+	pushl	1
+	call	_writeMatrix
+	drop	1
+	pushl	1
+	call	_invertMatrix
+	drop	1
+	pushr
+	popl	2
+	pushl	2
+	call	_writeMatrix
+	drop	1
+__27:
+	rsf
+	ret

matinv.nj

@@ -0,0 +1,146 @@
+//
+// matinv.nj -- invert 2x2 matrices of fractions
+//
+
+//--------------------------------------------------------------
+
+// greatest common divisor
+
+Integer gcd(Integer a, Integer b) {
+  local Integer h;
+  while (b != 0) {
+    h = a % b;
+    a = b;
+    b = h;
+  }
+  return a;
+}
+
+//--------------------------------------------------------------
+
+// fractions
+
+type Fraction = record {
+  Integer num;
+  Integer den;
+};
+
+Fraction newFraction(Integer num, Integer den) {
+  local Integer n;
+  local Integer d;
+  local Integer g;
+  local Fraction r;
+  if (num < 0) {
+    n = -num;
+  } else {
+    n = num;
+  }
+  if (den < 0) {
+    d = -den;
+  } else {
+    d = den;
+  }
+  g = gcd(n, d);
+  r = new(Fraction);
+  if ((num < 0) != (den < 0)) {
+    r.num = -n / g;
+  } else {
+    r.num = n / g;
+  }
+  r.den = d / g;
+  return r;
+}
+
+void writeFraction(Fraction f) {
+  writeInteger(f.num);
+  writeString("/");
+  writeInteger(f.den);
+}
+
+Fraction negFraction(Fraction f) {
+  return newFraction(-f.num, f.den);
+}
+
+Fraction addFraction(Fraction f1, Fraction f2) {
+  return newFraction(f1.num * f2.den + f2.num * f1.den, f1.den * f2.den);
+}
+
+Fraction subFraction(Fraction f1, Fraction f2) {
+  return newFraction(f1.num * f2.den - f2.num * f1.den, f1.den * f2.den);
+}
+
+Fraction mulFraction(Fraction f1, Fraction f2) {
+  return newFraction(f1.num * f2.num, f1.den * f2.den);
+}
+
+Fraction divFraction(Fraction f1, Fraction f2) {
+  return newFraction(f1.num * f2.den, f1.den * f2.num);
+}
+
+//--------------------------------------------------------------
+
+// 2x2 matrices of fractions
+
+type Matrix = Fraction[][];
+
+Matrix newMatrix(Fraction a00, Fraction a01,
+                 Fraction a10, Fraction a11) {
+  local Matrix m;
+  m = new(Fraction[2][]);
+  m[0] = new(Fraction[2]);
+  m[1] = new(Fraction[2]);
+  m[0][0] = a00;
+  m[0][1] = a01;
+  m[1][0] = a10;
+  m[1][1] = a11;
+  return m;
+}
+
+void writeMatrix(Matrix m) {
+  local Integer i;
+  local Integer j;
+  i = 0;
+  while (i < sizeof(m)) {
+    j = 0;
+    while (j < sizeof(m[i])) {
+      writeFraction(m[i][j]);
+      writeString("  ");
+      j = j + 1;
+    }
+    writeString("\n");
+    i = i + 1;
+  }
+  writeString("\n");
+}
+
+Matrix invertMatrix(Matrix m) {
+  local Fraction det;
+  det = subFraction(mulFraction(m[0][0], m[1][1]),
+                    mulFraction(m[0][1], m[1][0]));
+  if (det.num == 0) {
+    writeString("error: matrix cannot be inverted\n");
+    exit();
+  }
+  return newMatrix(
+    divFraction(m[1][1], det), divFraction(negFraction(m[0][1]), det),
+    divFraction(negFraction(m[1][0]), det), divFraction(m[0][0], det)
+  );
+}
+
+//--------------------------------------------------------------
+
+void main() {
+  local Matrix matrix;
+  local Matrix result1;
+  local Matrix result2;
+  writeString("\n");
+  matrix = newMatrix(
+    newFraction(7, 1), newFraction(4, 1),
+    newFraction(6, 1), newFraction(5, 1)
+  );
+  writeMatrix(matrix);
+  result1 = invertMatrix(matrix);
+  writeMatrix(result1);
+  result2 = invertMatrix(result1);
+  writeMatrix(result2);
+}

njc/njc4

@@ -0,0 +1,14 @@
+--2024-01-14 15:07:13--  https://git.thm.de/arin07/KSP_public/-/raw/master/aufgaben/a4/njc?inline=false
+Loaded CA certificate '/etc/ssl/certs/ca-certificates.crt'
+Resolving git.thm.de (git.thm.de)... 212.201.6.138
+Connecting to git.thm.de (git.thm.de)|212.201.6.138|:443... connected.
+HTTP request sent, awaiting response... 200 OK
+Length: 137095 (134K) [application/octet-stream]
+Saving to: ‘njc?inline=false’
+
+     0K .......... .......... .......... .......... .......... 37% 1.23M 0s
+    50K .......... .......... .......... .......... .......... 74% 2.63M 0s
+   100K .......... .......... .......... ...                  100% 9.98M=0.06s
+
+2024-01-14 15:07:14 (2.13 MB/s) - ‘njc?inline=false’ saved [137095/137095]
+

njc/njc5

@@ -0,0 +1,14 @@
+--2024-01-14 15:07:20--  https://git.thm.de/arin07/KSP_public/-/raw/master/aufgaben/a5/njc?inline=false
+Loaded CA certificate '/etc/ssl/certs/ca-certificates.crt'
+Resolving git.thm.de (git.thm.de)... 212.201.6.138
+Connecting to git.thm.de (git.thm.de)|212.201.6.138|:443... connected.
+HTTP request sent, awaiting response... 200 OK
+Length: 137095 (134K) [application/octet-stream]
+Saving to: ‘njc?inline=false.1’
+
+     0K .......... .......... .......... .......... .......... 37% 1.21M 0s
+    50K .......... .......... .......... .......... .......... 74% 2.51M 0s
+   100K .......... .......... .......... ...                  100% 11.2M=0.06s
+
+2024-01-14 15:07:21 (2.08 MB/s) - ‘njc?inline=false.1’ saved [137095/137095]
+