Compare commits
3 Commits
| Author | SHA1 | Date | |
|---|---|---|---|
| b0e4ec52da | |||
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f3804334d9 | ||
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c53c58fb5c |
3
.gitignore
vendored
3
.gitignore
vendored
@ -1,5 +1,2 @@
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.idea
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cmake-build-debug
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njvm
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njvm.dSYM
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njvm.exe
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@ -2,25 +2,11 @@ cmake_minimum_required(VERSION 3.0)
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project(ninja LANGUAGES C)
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set(CMAKE_C_STANDARD 99)
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add_compile_options(-g -Wall -pedantic)
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add_executable(njvm njvm.c
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njvm.h)
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# Include directories for njvm executable
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target_include_directories(njvm PRIVATE ${CMAKE_CURRENT_SOURCE_DIR}/bigint/build/include)
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# Add the library
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add_library(bigint STATIC ${CMAKE_SOURCE_DIR}/bigint/src/bigint.c
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support.c
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GC.c
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heap.c
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heap.h)
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# Include directories for the bigint library
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target_include_directories(bigint PUBLIC ${CMAKE_CURRENT_SOURCE_DIR}/bigint/build/include)
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# Link the executable with the library
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target_link_libraries(njvm PRIVATE bigint)
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set(PROJECT_VERSION 0)
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configure_file(
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${CMAKE_SOURCE_DIR}/config.h.in
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${CMAKE_BINARY_DIR}/config.h
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)
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include_directories(${CMAKE_BINARY_DIR})
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add_executable(ninja
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njvm.c config.h.in)
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99
GC.c
99
GC.c
@ -1,99 +0,0 @@
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#ifndef GC
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#define GC
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#include <stdlib.h>
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#include <stdio.h>
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#include <string.h>
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#include "stackslot.c"
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#include "stack.c"
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#include "bigint.h"
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#include "instruktion.c"
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#include "record.c"
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#include "SDA.c"
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typedef struct {
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unsigned int freiZeiger;
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unsigned int size;
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unsigned char *data;
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} *heapPartRef;
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// SDA
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struct sda sda;
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// Stack
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struct stack stack;
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#define SIZE 1000;
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//Register
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struct stack reg;
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//heapPartRef primary;
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//heapPartRef secondary;
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//unsigned int heapSize;
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//void initHeap(int size){
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// heapSize = 2 * sizeof (unsigned int) + size;
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// if ((primary = malloc(heapSize)) == NULL) perror("malloc");
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// if ((secondary = malloc(heapSize)) == NULL) perror("malloc");
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//}
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//
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//
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//// nimmt obj und copier es in den secondary Speicher
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//void copy(ObjRef obj){
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// if(obj->brokenHeart == true) return;
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// obj->brokenHeart = true;
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// if (IS_PRIMITIVE(obj)){
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// if(obj->size > secondary->size-secondary->freiZeiger) perror("Heap is to Small");
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// obj->forward_pointer = memcpy((void *) secondary->data[secondary->freiZeiger], obj, obj->size);
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// secondary->freiZeiger += obj->size;
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// } else {
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// if(sizeof(*obj) + (GET_ELEMENT_COUNT(obj) * sizeof(void *)) > secondary->size-secondary->freiZeiger) perror("Heap is to Small");
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// GET_ELEMENT_COUNT(obj);
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// obj->forward_pointer = memcpy((void *) secondary->data[secondary->freiZeiger], obj, sizeof(*obj) + (GET_ELEMENT_COUNT(obj) * sizeof(void *)));
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// secondary->freiZeiger += sizeof(*obj) + (GET_ELEMENT_COUNT(obj) * sizeof(void *));
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// for (int i = 0; i < GET_ELEMENT_COUNT(obj); ++i) {
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// copy(getField(obj,i));
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// }
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// }
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//}
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//
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//void runGC(){
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// int rootSize = *sda.size + *reg.size + *stack.size + 4;
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// ObjRef* rootObjs = malloc(sizeof(ObjRef) * rootSize);
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// if(rootObjs == NULL) perror("malloc");
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// int counter = 0;
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// //Bip
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// rootObjs[0] = bip.op1;
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// rootObjs[counter++] = bip.op2;
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// rootObjs[counter++] = bip.res;
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// rootObjs[counter++] = bip.rem;
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// //SDA
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// for (int i = 0; i < *sda.size; ++i) {
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// rootObjs[counter++] = sda.sda[i];
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// }
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// //REG
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// for (int i = 0; i < *reg.size; ++i) {
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// rootObjs[counter++] = reg.stack[i].u.objRef;
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// }
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// //STACK
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// for (int i = 0; i < *stack.size; ++i) {
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// rootObjs[counter++] = stack.stack[i].u.objRef;
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// }
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//
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// for (int i = 0; i < rootSize; ++i) {
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// if(rootObjs[i] == NULL) continue;
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// copy(rootObjs[i]);
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// }
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// heapPartRef temp = primary;
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// primary = secondary;
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// secondary = temp;
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//
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//}
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//
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//void *alloc(size_t size){
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// if(primary->size-primary->freiZeiger < size){
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// runGC();
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// }
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// primary->freiZeiger += size;
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// return (void *) primary->data[primary->freiZeiger - size];
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//}
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#endif
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12
Makefile
12
Makefile
@ -1,12 +0,0 @@
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# Makefile for a simple C program
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build:
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cd ./bigint; make; cd ..
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gcc -g -Wall -Ibigint/build/include -o support.o -c support.c
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gcc -g -Wall -Ibigint/build/include -o njvm.o -c njvm.c
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gcc -g -Wall -Lbigint/build/lib -o njvm njvm.o support.o -lbigint
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run: build
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./njvm prog.bin
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debug: build
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./njvm --debug prog.bin
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43
Makefile3
43
Makefile3
@ -1,43 +0,0 @@
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# Makefile for a simple C program
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# Compiler
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CC = gcc
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# program to Run
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F = prog.bin
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# Compiler flags
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CFLAGS = -g -Wall -Ibigint/build/include
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LDFLAGS = -g -Wall -Lbigint/build/lib
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# Source file
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SRC = njvm.c
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# Executable name
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TARGET = njvm
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njvm.o:
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$(CC) $(CFLAGS) -o njvm.o -c njvm.c
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support.o:
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$(CC) $(CFLAGS) -o support.o -c support.c
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# Default target
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all: njvm.o support.o
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$(CC) $(LDFLAGS) -o $(TARGET) njvm.o support.o -lbigint
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# Clean up
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clean:
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rm -f $(OBJ) $(TARGET)
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debug: all
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./$(TARGET) --debug $(F)
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run: all
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./$(TARGET) $(F)
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nja: ./nja/nja$(V)
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./nja/nja$(V) $(IN) $(OUT)
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njc: ./njc/njc$(V)
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./njc/njc$(V) $(IN) $(OUT)
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28
SDA.c
28
SDA.c
@ -1,28 +0,0 @@
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//
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// Created by Nils on 03.12.2023
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//
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||||
#ifndef SDA
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#define SDA
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#include <stdio.h>
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#include "stackslot.c"
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struct sda {
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||||
int *size;
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||||
ObjRef *sda;
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||||
};
|
||||
|
||||
ObjRef getSDA(int i, struct sda s) {
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return s.sda[i];
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||||
}
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void setSDA(int point, ObjRef val, struct sda s) {
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if (val == NULL) perror("Value is null");
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s.sda[point] = val;
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}
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void printSDA(struct sda s) {
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for (int i = 0; i < *s.size; i++) {
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printf("%i\n", *(int *)getSDA(i, s)->data);
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}
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}
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#endif
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@ -1,22 +0,0 @@
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#
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# Makefile for big integer library and test
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#
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||||
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DIRS = src tst
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all: clean
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for i in $(DIRS) ; do \
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$(MAKE) -C $$i install ; \
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done
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|
||||
clean:
|
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for i in $(DIRS) ; do \
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$(MAKE) -C $$i clean ; \
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done
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rm -rf ./build
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rm -f *~
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dist: clean
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(cd .. ; \
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tar -cvf bigint.tar bigint ; \
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gzip -f bigint.tar)
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@ -1,92 +0,0 @@
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The "bigint" Package
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||||
====================
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1. What is it?
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--------------
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This package implements a multiple-precision integer arithmetic package,
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i.e., a collection of functions which can calculate with integers having
|
||||
arbitrarily many digits. The algorithms are taken from [D. Knuth: The
|
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Art of Computer Programming, Vol. 2, Seminumerical Algorithms], the
|
||||
implementation language is C.
|
||||
|
||||
|
||||
2. "Multiple Precision" - how does it work?
|
||||
-------------------------------------------
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||||
|
||||
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.
|
||||
Binary file not shown.
@ -1,60 +0,0 @@
|
||||
/*
|
||||
* 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_ */
|
||||
@ -1,15 +0,0 @@
|
||||
/*
|
||||
* 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_ */
|
||||
Binary file not shown.
@ -1,26 +0,0 @@
|
||||
#
|
||||
# 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
|
||||
@ -1,987 +0,0 @@
|
||||
/*
|
||||
* 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, "]");
|
||||
}
|
||||
@ -1,60 +0,0 @@
|
||||
/*
|
||||
* 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_ */
|
||||
Binary file not shown.
Binary file not shown.
@ -1,15 +0,0 @@
|
||||
/*
|
||||
* 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_ */
|
||||
@ -1,28 +0,0 @@
|
||||
#
|
||||
# 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)
|
||||
|
||||
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|
||||
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|
||||
|
||||
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|
||||
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|
||||
|
||||
clean:
|
||||
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|
||||
@ -1,55 +0,0 @@
|
||||
/*
|
||||
* support.c -- support functions for big integer library
|
||||
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|
||||
|
||||
|
||||
#include <stdio.h>
|
||||
#include <stdlib.h>
|
||||
|
||||
#include "support.h"
|
||||
|
||||
typedef struct {
|
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unsigned int size; /* byte count of payload data */
|
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unsigned char data[1]; /* payload data, size as needed */
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Binary file not shown.
Binary file not shown.
1253
bigint/tst/testbip.c
1253
bigint/tst/testbip.c
File diff suppressed because it is too large
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Normal file
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|
||||
/* __SUNPRO_CC = 0xVRP */
|
||||
# define COMPILER_VERSION_MAJOR HEX(__SUNPRO_C>>8)
|
||||
# define COMPILER_VERSION_MINOR HEX(__SUNPRO_C>>4 & 0xF)
|
||||
# define COMPILER_VERSION_PATCH HEX(__SUNPRO_C & 0xF)
|
||||
# endif
|
||||
|
||||
#elif defined(__HP_cc)
|
||||
# define COMPILER_ID "HP"
|
||||
/* __HP_cc = VVRRPP */
|
||||
# define COMPILER_VERSION_MAJOR DEC(__HP_cc/10000)
|
||||
# define COMPILER_VERSION_MINOR DEC(__HP_cc/100 % 100)
|
||||
# define COMPILER_VERSION_PATCH DEC(__HP_cc % 100)
|
||||
|
||||
#elif defined(__DECC)
|
||||
# define COMPILER_ID "Compaq"
|
||||
/* __DECC_VER = VVRRTPPPP */
|
||||
# define COMPILER_VERSION_MAJOR DEC(__DECC_VER/10000000)
|
||||
# define COMPILER_VERSION_MINOR DEC(__DECC_VER/100000 % 100)
|
||||
# define COMPILER_VERSION_PATCH DEC(__DECC_VER % 10000)
|
||||
|
||||
#elif defined(__IBMC__) && defined(__COMPILER_VER__)
|
||||
# define COMPILER_ID "zOS"
|
||||
/* __IBMC__ = VRP */
|
||||
# define COMPILER_VERSION_MAJOR DEC(__IBMC__/100)
|
||||
# define COMPILER_VERSION_MINOR DEC(__IBMC__/10 % 10)
|
||||
# define COMPILER_VERSION_PATCH DEC(__IBMC__ % 10)
|
||||
|
||||
#elif defined(__open_xl__) && defined(__clang__)
|
||||
# define COMPILER_ID "IBMClang"
|
||||
# define COMPILER_VERSION_MAJOR DEC(__open_xl_version__)
|
||||
# define COMPILER_VERSION_MINOR DEC(__open_xl_release__)
|
||||
# define COMPILER_VERSION_PATCH DEC(__open_xl_modification__)
|
||||
# define COMPILER_VERSION_TWEAK DEC(__open_xl_ptf_fix_level__)
|
||||
|
||||
|
||||
#elif defined(__ibmxl__) && defined(__clang__)
|
||||
# define COMPILER_ID "XLClang"
|
||||
# define COMPILER_VERSION_MAJOR DEC(__ibmxl_version__)
|
||||
# define COMPILER_VERSION_MINOR DEC(__ibmxl_release__)
|
||||
# define COMPILER_VERSION_PATCH DEC(__ibmxl_modification__)
|
||||
# define COMPILER_VERSION_TWEAK DEC(__ibmxl_ptf_fix_level__)
|
||||
|
||||
|
||||
#elif defined(__IBMC__) && !defined(__COMPILER_VER__) && __IBMC__ >= 800
|
||||
# define COMPILER_ID "XL"
|
||||
/* __IBMC__ = VRP */
|
||||
# define COMPILER_VERSION_MAJOR DEC(__IBMC__/100)
|
||||
# define COMPILER_VERSION_MINOR DEC(__IBMC__/10 % 10)
|
||||
# define COMPILER_VERSION_PATCH DEC(__IBMC__ % 10)
|
||||
|
||||
#elif defined(__IBMC__) && !defined(__COMPILER_VER__) && __IBMC__ < 800
|
||||
# define COMPILER_ID "VisualAge"
|
||||
/* __IBMC__ = VRP */
|
||||
# define COMPILER_VERSION_MAJOR DEC(__IBMC__/100)
|
||||
# define COMPILER_VERSION_MINOR DEC(__IBMC__/10 % 10)
|
||||
# define COMPILER_VERSION_PATCH DEC(__IBMC__ % 10)
|
||||
|
||||
#elif defined(__NVCOMPILER)
|
||||
# define COMPILER_ID "NVHPC"
|
||||
# define COMPILER_VERSION_MAJOR DEC(__NVCOMPILER_MAJOR__)
|
||||
# define COMPILER_VERSION_MINOR DEC(__NVCOMPILER_MINOR__)
|
||||
# if defined(__NVCOMPILER_PATCHLEVEL__)
|
||||
# define COMPILER_VERSION_PATCH DEC(__NVCOMPILER_PATCHLEVEL__)
|
||||
# endif
|
||||
|
||||
#elif defined(__PGI)
|
||||
# define COMPILER_ID "PGI"
|
||||
# define COMPILER_VERSION_MAJOR DEC(__PGIC__)
|
||||
# define COMPILER_VERSION_MINOR DEC(__PGIC_MINOR__)
|
||||
# if defined(__PGIC_PATCHLEVEL__)
|
||||
# define COMPILER_VERSION_PATCH DEC(__PGIC_PATCHLEVEL__)
|
||||
# endif
|
||||
|
||||
#elif defined(_CRAYC)
|
||||
# define COMPILER_ID "Cray"
|
||||
# define COMPILER_VERSION_MAJOR DEC(_RELEASE_MAJOR)
|
||||
# define COMPILER_VERSION_MINOR DEC(_RELEASE_MINOR)
|
||||
|
||||
#elif defined(__TI_COMPILER_VERSION__)
|
||||
# define COMPILER_ID "TI"
|
||||
/* __TI_COMPILER_VERSION__ = VVVRRRPPP */
|
||||
# define COMPILER_VERSION_MAJOR DEC(__TI_COMPILER_VERSION__/1000000)
|
||||
# define COMPILER_VERSION_MINOR DEC(__TI_COMPILER_VERSION__/1000 % 1000)
|
||||
# define COMPILER_VERSION_PATCH DEC(__TI_COMPILER_VERSION__ % 1000)
|
||||
|
||||
#elif defined(__CLANG_FUJITSU)
|
||||
# define COMPILER_ID "FujitsuClang"
|
||||
# define COMPILER_VERSION_MAJOR DEC(__FCC_major__)
|
||||
# define COMPILER_VERSION_MINOR DEC(__FCC_minor__)
|
||||
# define COMPILER_VERSION_PATCH DEC(__FCC_patchlevel__)
|
||||
# define COMPILER_VERSION_INTERNAL_STR __clang_version__
|
||||
|
||||
|
||||
#elif defined(__FUJITSU)
|
||||
# define COMPILER_ID "Fujitsu"
|
||||
# if defined(__FCC_version__)
|
||||
# define COMPILER_VERSION __FCC_version__
|
||||
# elif defined(__FCC_major__)
|
||||
# define COMPILER_VERSION_MAJOR DEC(__FCC_major__)
|
||||
# define COMPILER_VERSION_MINOR DEC(__FCC_minor__)
|
||||
# define COMPILER_VERSION_PATCH DEC(__FCC_patchlevel__)
|
||||
# endif
|
||||
# if defined(__fcc_version)
|
||||
# define COMPILER_VERSION_INTERNAL DEC(__fcc_version)
|
||||
# elif defined(__FCC_VERSION)
|
||||
# define COMPILER_VERSION_INTERNAL DEC(__FCC_VERSION)
|
||||
# endif
|
||||
|
||||
|
||||
#elif defined(__ghs__)
|
||||
# define COMPILER_ID "GHS"
|
||||
/* __GHS_VERSION_NUMBER = VVVVRP */
|
||||
# ifdef __GHS_VERSION_NUMBER
|
||||
# define COMPILER_VERSION_MAJOR DEC(__GHS_VERSION_NUMBER / 100)
|
||||
# define COMPILER_VERSION_MINOR DEC(__GHS_VERSION_NUMBER / 10 % 10)
|
||||
# define COMPILER_VERSION_PATCH DEC(__GHS_VERSION_NUMBER % 10)
|
||||
# endif
|
||||
|
||||
#elif defined(__TASKING__)
|
||||
# define COMPILER_ID "Tasking"
|
||||
# define COMPILER_VERSION_MAJOR DEC(__VERSION__/1000)
|
||||
# define COMPILER_VERSION_MINOR DEC(__VERSION__ % 100)
|
||||
# define COMPILER_VERSION_INTERNAL DEC(__VERSION__)
|
||||
|
||||
#elif defined(__TINYC__)
|
||||
# define COMPILER_ID "TinyCC"
|
||||
|
||||
#elif defined(__BCC__)
|
||||
# define COMPILER_ID "Bruce"
|
||||
|
||||
#elif defined(__SCO_VERSION__)
|
||||
# define COMPILER_ID "SCO"
|
||||
|
||||
#elif defined(__ARMCC_VERSION) && !defined(__clang__)
|
||||
# define COMPILER_ID "ARMCC"
|
||||
#if __ARMCC_VERSION >= 1000000
|
||||
/* __ARMCC_VERSION = VRRPPPP */
|
||||
# define COMPILER_VERSION_MAJOR DEC(__ARMCC_VERSION/1000000)
|
||||
# define COMPILER_VERSION_MINOR DEC(__ARMCC_VERSION/10000 % 100)
|
||||
# define COMPILER_VERSION_PATCH DEC(__ARMCC_VERSION % 10000)
|
||||
#else
|
||||
/* __ARMCC_VERSION = VRPPPP */
|
||||
# define COMPILER_VERSION_MAJOR DEC(__ARMCC_VERSION/100000)
|
||||
# define COMPILER_VERSION_MINOR DEC(__ARMCC_VERSION/10000 % 10)
|
||||
# define COMPILER_VERSION_PATCH DEC(__ARMCC_VERSION % 10000)
|
||||
#endif
|
||||
|
||||
|
||||
#elif defined(__clang__) && defined(__apple_build_version__)
|
||||
# define COMPILER_ID "AppleClang"
|
||||
# if defined(_MSC_VER)
|
||||
# define SIMULATE_ID "MSVC"
|
||||
# endif
|
||||
# define COMPILER_VERSION_MAJOR DEC(__clang_major__)
|
||||
# define COMPILER_VERSION_MINOR DEC(__clang_minor__)
|
||||
# define COMPILER_VERSION_PATCH DEC(__clang_patchlevel__)
|
||||
# if defined(_MSC_VER)
|
||||
/* _MSC_VER = VVRR */
|
||||
# define SIMULATE_VERSION_MAJOR DEC(_MSC_VER / 100)
|
||||
# define SIMULATE_VERSION_MINOR DEC(_MSC_VER % 100)
|
||||
# endif
|
||||
# define COMPILER_VERSION_TWEAK DEC(__apple_build_version__)
|
||||
|
||||
#elif defined(__clang__) && defined(__ARMCOMPILER_VERSION)
|
||||
# define COMPILER_ID "ARMClang"
|
||||
# define COMPILER_VERSION_MAJOR DEC(__ARMCOMPILER_VERSION/1000000)
|
||||
# define COMPILER_VERSION_MINOR DEC(__ARMCOMPILER_VERSION/10000 % 100)
|
||||
# define COMPILER_VERSION_PATCH DEC(__ARMCOMPILER_VERSION % 10000)
|
||||
# define COMPILER_VERSION_INTERNAL DEC(__ARMCOMPILER_VERSION)
|
||||
|
||||
#elif defined(__clang__)
|
||||
# define COMPILER_ID "Clang"
|
||||
# if defined(_MSC_VER)
|
||||
# define SIMULATE_ID "MSVC"
|
||||
# endif
|
||||
# define COMPILER_VERSION_MAJOR DEC(__clang_major__)
|
||||
# define COMPILER_VERSION_MINOR DEC(__clang_minor__)
|
||||
# define COMPILER_VERSION_PATCH DEC(__clang_patchlevel__)
|
||||
# if defined(_MSC_VER)
|
||||
/* _MSC_VER = VVRR */
|
||||
# define SIMULATE_VERSION_MAJOR DEC(_MSC_VER / 100)
|
||||
# define SIMULATE_VERSION_MINOR DEC(_MSC_VER % 100)
|
||||
# endif
|
||||
|
||||
#elif defined(__LCC__) && (defined(__GNUC__) || defined(__GNUG__) || defined(__MCST__))
|
||||
# define COMPILER_ID "LCC"
|
||||
# define COMPILER_VERSION_MAJOR DEC(1)
|
||||
# if defined(__LCC__)
|
||||
# define COMPILER_VERSION_MINOR DEC(__LCC__- 100)
|
||||
# endif
|
||||
# if defined(__LCC_MINOR__)
|
||||
# define COMPILER_VERSION_PATCH DEC(__LCC_MINOR__)
|
||||
# endif
|
||||
# if defined(__GNUC__) && defined(__GNUC_MINOR__)
|
||||
# define SIMULATE_ID "GNU"
|
||||
# define SIMULATE_VERSION_MAJOR DEC(__GNUC__)
|
||||
# define SIMULATE_VERSION_MINOR DEC(__GNUC_MINOR__)
|
||||
# if defined(__GNUC_PATCHLEVEL__)
|
||||
# define SIMULATE_VERSION_PATCH DEC(__GNUC_PATCHLEVEL__)
|
||||
# endif
|
||||
# endif
|
||||
|
||||
#elif defined(__GNUC__)
|
||||
# define COMPILER_ID "GNU"
|
||||
# define COMPILER_VERSION_MAJOR DEC(__GNUC__)
|
||||
# if defined(__GNUC_MINOR__)
|
||||
# define COMPILER_VERSION_MINOR DEC(__GNUC_MINOR__)
|
||||
# endif
|
||||
# if defined(__GNUC_PATCHLEVEL__)
|
||||
# define COMPILER_VERSION_PATCH DEC(__GNUC_PATCHLEVEL__)
|
||||
# endif
|
||||
|
||||
#elif defined(_MSC_VER)
|
||||
# define COMPILER_ID "MSVC"
|
||||
/* _MSC_VER = VVRR */
|
||||
# define COMPILER_VERSION_MAJOR DEC(_MSC_VER / 100)
|
||||
# define COMPILER_VERSION_MINOR DEC(_MSC_VER % 100)
|
||||
# if defined(_MSC_FULL_VER)
|
||||
# if _MSC_VER >= 1400
|
||||
/* _MSC_FULL_VER = VVRRPPPPP */
|
||||
# define COMPILER_VERSION_PATCH DEC(_MSC_FULL_VER % 100000)
|
||||
# else
|
||||
/* _MSC_FULL_VER = VVRRPPPP */
|
||||
# define COMPILER_VERSION_PATCH DEC(_MSC_FULL_VER % 10000)
|
||||
# endif
|
||||
# endif
|
||||
# if defined(_MSC_BUILD)
|
||||
# define COMPILER_VERSION_TWEAK DEC(_MSC_BUILD)
|
||||
# endif
|
||||
|
||||
#elif defined(_ADI_COMPILER)
|
||||
# define COMPILER_ID "ADSP"
|
||||
#if defined(__VERSIONNUM__)
|
||||
/* __VERSIONNUM__ = 0xVVRRPPTT */
|
||||
# define COMPILER_VERSION_MAJOR DEC(__VERSIONNUM__ >> 24 & 0xFF)
|
||||
# define COMPILER_VERSION_MINOR DEC(__VERSIONNUM__ >> 16 & 0xFF)
|
||||
# define COMPILER_VERSION_PATCH DEC(__VERSIONNUM__ >> 8 & 0xFF)
|
||||
# define COMPILER_VERSION_TWEAK DEC(__VERSIONNUM__ & 0xFF)
|
||||
#endif
|
||||
|
||||
#elif defined(__IAR_SYSTEMS_ICC__) || defined(__IAR_SYSTEMS_ICC)
|
||||
# define COMPILER_ID "IAR"
|
||||
# if defined(__VER__) && defined(__ICCARM__)
|
||||
# define COMPILER_VERSION_MAJOR DEC((__VER__) / 1000000)
|
||||
# define COMPILER_VERSION_MINOR DEC(((__VER__) / 1000) % 1000)
|
||||
# define COMPILER_VERSION_PATCH DEC((__VER__) % 1000)
|
||||
# define COMPILER_VERSION_INTERNAL DEC(__IAR_SYSTEMS_ICC__)
|
||||
# elif defined(__VER__) && (defined(__ICCAVR__) || defined(__ICCRX__) || defined(__ICCRH850__) || defined(__ICCRL78__) || defined(__ICC430__) || defined(__ICCRISCV__) || defined(__ICCV850__) || defined(__ICC8051__) || defined(__ICCSTM8__))
|
||||
# define COMPILER_VERSION_MAJOR DEC((__VER__) / 100)
|
||||
# define COMPILER_VERSION_MINOR DEC((__VER__) - (((__VER__) / 100)*100))
|
||||
# define COMPILER_VERSION_PATCH DEC(__SUBVERSION__)
|
||||
# define COMPILER_VERSION_INTERNAL DEC(__IAR_SYSTEMS_ICC__)
|
||||
# endif
|
||||
|
||||
#elif defined(__SDCC_VERSION_MAJOR) || defined(SDCC)
|
||||
# define COMPILER_ID "SDCC"
|
||||
# if defined(__SDCC_VERSION_MAJOR)
|
||||
# define COMPILER_VERSION_MAJOR DEC(__SDCC_VERSION_MAJOR)
|
||||
# define COMPILER_VERSION_MINOR DEC(__SDCC_VERSION_MINOR)
|
||||
# define COMPILER_VERSION_PATCH DEC(__SDCC_VERSION_PATCH)
|
||||
# else
|
||||
/* SDCC = VRP */
|
||||
# define COMPILER_VERSION_MAJOR DEC(SDCC/100)
|
||||
# define COMPILER_VERSION_MINOR DEC(SDCC/10 % 10)
|
||||
# define COMPILER_VERSION_PATCH DEC(SDCC % 10)
|
||||
# endif
|
||||
|
||||
|
||||
/* These compilers are either not known or too old to define an
|
||||
identification macro. Try to identify the platform and guess that
|
||||
it is the native compiler. */
|
||||
#elif defined(__hpux) || defined(__hpua)
|
||||
# define COMPILER_ID "HP"
|
||||
|
||||
#else /* unknown compiler */
|
||||
# define COMPILER_ID ""
|
||||
#endif
|
||||
|
||||
/* Construct the string literal in pieces to prevent the source from
|
||||
getting matched. Store it in a pointer rather than an array
|
||||
because some compilers will just produce instructions to fill the
|
||||
array rather than assigning a pointer to a static array. */
|
||||
char const* info_compiler = "INFO" ":" "compiler[" COMPILER_ID "]";
|
||||
#ifdef SIMULATE_ID
|
||||
char const* info_simulate = "INFO" ":" "simulate[" SIMULATE_ID "]";
|
||||
#endif
|
||||
|
||||
#ifdef __QNXNTO__
|
||||
char const* qnxnto = "INFO" ":" "qnxnto[]";
|
||||
#endif
|
||||
|
||||
#if defined(__CRAYXT_COMPUTE_LINUX_TARGET)
|
||||
char const *info_cray = "INFO" ":" "compiler_wrapper[CrayPrgEnv]";
|
||||
#endif
|
||||
|
||||
#define STRINGIFY_HELPER(X) #X
|
||||
#define STRINGIFY(X) STRINGIFY_HELPER(X)
|
||||
|
||||
/* Identify known platforms by name. */
|
||||
#if defined(__linux) || defined(__linux__) || defined(linux)
|
||||
# define PLATFORM_ID "Linux"
|
||||
|
||||
#elif defined(__MSYS__)
|
||||
# define PLATFORM_ID "MSYS"
|
||||
|
||||
#elif defined(__CYGWIN__)
|
||||
# define PLATFORM_ID "Cygwin"
|
||||
|
||||
#elif defined(__MINGW32__)
|
||||
# define PLATFORM_ID "MinGW"
|
||||
|
||||
#elif defined(__APPLE__)
|
||||
# define PLATFORM_ID "Darwin"
|
||||
|
||||
#elif defined(_WIN32) || defined(__WIN32__) || defined(WIN32)
|
||||
# define PLATFORM_ID "Windows"
|
||||
|
||||
#elif defined(__FreeBSD__) || defined(__FreeBSD)
|
||||
# define PLATFORM_ID "FreeBSD"
|
||||
|
||||
#elif defined(__NetBSD__) || defined(__NetBSD)
|
||||
# define PLATFORM_ID "NetBSD"
|
||||
|
||||
#elif defined(__OpenBSD__) || defined(__OPENBSD)
|
||||
# define PLATFORM_ID "OpenBSD"
|
||||
|
||||
#elif defined(__sun) || defined(sun)
|
||||
# define PLATFORM_ID "SunOS"
|
||||
|
||||
#elif defined(_AIX) || defined(__AIX) || defined(__AIX__) || defined(__aix) || defined(__aix__)
|
||||
# define PLATFORM_ID "AIX"
|
||||
|
||||
#elif defined(__hpux) || defined(__hpux__)
|
||||
# define PLATFORM_ID "HP-UX"
|
||||
|
||||
#elif defined(__HAIKU__)
|
||||
# define PLATFORM_ID "Haiku"
|
||||
|
||||
#elif defined(__BeOS) || defined(__BEOS__) || defined(_BEOS)
|
||||
# define PLATFORM_ID "BeOS"
|
||||
|
||||
#elif defined(__QNX__) || defined(__QNXNTO__)
|
||||
# define PLATFORM_ID "QNX"
|
||||
|
||||
#elif defined(__tru64) || defined(_tru64) || defined(__TRU64__)
|
||||
# define PLATFORM_ID "Tru64"
|
||||
|
||||
#elif defined(__riscos) || defined(__riscos__)
|
||||
# define PLATFORM_ID "RISCos"
|
||||
|
||||
#elif defined(__sinix) || defined(__sinix__) || defined(__SINIX__)
|
||||
# define PLATFORM_ID "SINIX"
|
||||
|
||||
#elif defined(__UNIX_SV__)
|
||||
# define PLATFORM_ID "UNIX_SV"
|
||||
|
||||
#elif defined(__bsdos__)
|
||||
# define PLATFORM_ID "BSDOS"
|
||||
|
||||
#elif defined(_MPRAS) || defined(MPRAS)
|
||||
# define PLATFORM_ID "MP-RAS"
|
||||
|
||||
#elif defined(__osf) || defined(__osf__)
|
||||
# define PLATFORM_ID "OSF1"
|
||||
|
||||
#elif defined(_SCO_SV) || defined(SCO_SV) || defined(sco_sv)
|
||||
# define PLATFORM_ID "SCO_SV"
|
||||
|
||||
#elif defined(__ultrix) || defined(__ultrix__) || defined(_ULTRIX)
|
||||
# define PLATFORM_ID "ULTRIX"
|
||||
|
||||
#elif defined(__XENIX__) || defined(_XENIX) || defined(XENIX)
|
||||
# define PLATFORM_ID "Xenix"
|
||||
|
||||
#elif defined(__WATCOMC__)
|
||||
# if defined(__LINUX__)
|
||||
# define PLATFORM_ID "Linux"
|
||||
|
||||
# elif defined(__DOS__)
|
||||
# define PLATFORM_ID "DOS"
|
||||
|
||||
# elif defined(__OS2__)
|
||||
# define PLATFORM_ID "OS2"
|
||||
|
||||
# elif defined(__WINDOWS__)
|
||||
# define PLATFORM_ID "Windows3x"
|
||||
|
||||
# elif defined(__VXWORKS__)
|
||||
# define PLATFORM_ID "VxWorks"
|
||||
|
||||
# else /* unknown platform */
|
||||
# define PLATFORM_ID
|
||||
# endif
|
||||
|
||||
#elif defined(__INTEGRITY)
|
||||
# if defined(INT_178B)
|
||||
# define PLATFORM_ID "Integrity178"
|
||||
|
||||
# else /* regular Integrity */
|
||||
# define PLATFORM_ID "Integrity"
|
||||
# endif
|
||||
|
||||
# elif defined(_ADI_COMPILER)
|
||||
# define PLATFORM_ID "ADSP"
|
||||
|
||||
#else /* unknown platform */
|
||||
# define PLATFORM_ID
|
||||
|
||||
#endif
|
||||
|
||||
/* For windows compilers MSVC and Intel we can determine
|
||||
the architecture of the compiler being used. This is because
|
||||
the compilers do not have flags that can change the architecture,
|
||||
but rather depend on which compiler is being used
|
||||
*/
|
||||
#if defined(_WIN32) && defined(_MSC_VER)
|
||||
# if defined(_M_IA64)
|
||||
# define ARCHITECTURE_ID "IA64"
|
||||
|
||||
# elif defined(_M_ARM64EC)
|
||||
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(MUL << 24),
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(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
|
||||
37
codeReader.c
37
codeReader.c
@ -1,37 +0,0 @@
|
||||
#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 */
|
||||
@ -1,3 +0,0 @@
|
||||
-Ibigint/build/include
|
||||
-Lbigint/build/lib
|
||||
-lbigint
|
||||
1
config.h.in
Normal file
1
config.h.in
Normal file
@ -0,0 +1 @@
|
||||
#define PROJECT_VERSION @PROJECT_VERSION@
|
||||
7
consts.c
7
consts.c
@ -1,7 +0,0 @@
|
||||
#ifndef CONSTS
|
||||
#define CONSTS
|
||||
#define VERSION 8
|
||||
|
||||
#endif /* ifndef CONSTS
|
||||
#define CONSTS
|
||||
#define VERSION 2; */
|
||||
55
debugMenu.c
55
debugMenu.c
@ -1,55 +0,0 @@
|
||||
#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 */
|
||||
8301
factor.asm
8301
factor.asm
File diff suppressed because it is too large
Load Diff
BIN
factor.bin
BIN
factor.bin
Binary file not shown.
794
factor.nj
794
factor.nj
@ -1,794 +0,0 @@
|
||||
//
|
||||
// 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);
|
||||
}
|
||||
33
heap.c
33
heap.c
@ -1,33 +0,0 @@
|
||||
//
|
||||
// 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
|
||||
12
heap.h
12
heap.h
@ -1,12 +0,0 @@
|
||||
//
|
||||
// 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
|
||||
@ -1,54 +0,0 @@
|
||||
#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 */
|
||||
778
matinv.asm
778
matinv.asm
@ -1,778 +0,0 @@
|
||||
//
|
||||
// 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
|
||||
BIN
matinv.bin
BIN
matinv.bin
Binary file not shown.
146
matinv.nj
146
matinv.nj
@ -1,146 +0,0 @@
|
||||
//
|
||||
// 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);
|
||||
}
|
||||
Binary file not shown.
14
njc/njc4
14
njc/njc4
@ -1,14 +0,0 @@
|
||||
--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]
|
||||
|
||||
14
njc/njc5
14
njc/njc5
@ -1,14 +0,0 @@
|
||||
--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]
|
||||
|
||||
Some files were not shown because too many files have changed in this diff Show More
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Reference in New Issue
Block a user