eigenmath/init.cpp

256 lines
6.2 KiB
C++

#include "stdafx.h"
#include "defs.h"
void
init(void)
{
static int flag;
if (flag)
return; // already initted
flag = 1;
// endianess
little_endian = 1;
little_endian = *((unsigned char *) &little_endian);
nsym = USR_SYMBOLS;
p1 = symbol(NIL);
p2 = symbol(NIL);
p3 = symbol(NIL);
p4 = symbol(NIL);
p5 = symbol(NIL);
p6 = symbol(NIL);
p7 = symbol(NIL);
p8 = symbol(NIL);
varlist = symbol(NIL);
table_of_fourier = symbol(NIL);
std_symbol("abs", ABS);
std_symbol("add", ADD);
std_symbol("adj", ADJ);
std_symbol("and", AND);
std_symbol("arccos", ARCCOS);
std_symbol("arccosh", ARCCOSH);
std_symbol("arcsin", ARCSIN);
std_symbol("arcsinh", ARCSINH);
std_symbol("arctan", ARCTAN);
std_symbol("arctanh", ARCTANH);
std_symbol("arg", ARG);
std_symbol("atomize", ATOMIZE);
std_symbol("besselj", BESSELJ);
std_symbol("bessely", BESSELY);
std_symbol("binding2", BINDING2);
std_symbol("binomial", BINOMIAL);
std_symbol("break", BREAK);
std_symbol("carac", CARAC);
std_symbol("ceiling", CEILING);
std_symbol("check", CHECK);
std_symbol("circexp", CIRCEXP);
std_symbol("clear", CLEAR);
std_symbol("cls", CLS);
std_symbol("coeff", COEFF);
std_symbol("cofactor", COFACTOR);
std_symbol("condense", CONDENSE);
std_symbol("conj", CONJ);
std_symbol("contract", CONTRACT);
std_symbol("convolution", CONVOLUTION);
std_symbol("cos", COS);
std_symbol("cosh", COSH);
std_symbol("decomp", DECOMP);
std_symbol("deg", DEGREE);
std_symbol("denominator", DENOMINATOR);
std_symbol("det", DET);
std_symbol("derivative", DERIVATIVE);
std_symbol("dim", DIM);
std_symbol("dirac", DIRAC);
std_symbol("display", DISPLAY);
std_symbol("divisors", DIVISORS);
std_symbol("do", DO);
std_symbol("dot", DOT);
std_symbol("draw", DRAW);
std_symbol("dsolve", DSOLVE);
std_symbol("erf", ERF);
std_symbol("erfc", ERFC);
std_symbol("eigen", EIGEN);
std_symbol("eigenval", EIGENVAL);
std_symbol("eigenvec", EIGENVEC);
std_symbol("eval", EVAL);
std_symbol("exp", EXP);
std_symbol("expand", EXPAND);
std_symbol("expcos", EXPCOS);
std_symbol("expsin", EXPSIN);
std_symbol("factor", FACTOR);
std_symbol("factorial", FACTORIAL);
std_symbol("factorpoly", FACTORPOLY);
std_symbol("filter", FILTER);
std_symbol("float", FLOATF);
std_symbol("floor", FLOOR);
std_symbol("for", FOR);
std_symbol("fourier", FOURIER);
std_symbol("Gamma", GAMMA);
std_symbol("gcd", GCD);
std_symbol("heaviside", HEAVISIDE);
std_symbol("hermite", HERMITE);
std_symbol("hilbert", HILBERT);
std_symbol("imag", IMAG);
std_symbol("component", INDEX);
std_symbol("inner", INNER);
std_symbol("integral", INTEGRAL);
std_symbol("inv", INV);
std_symbol("invfourier", INVFOURIER);
std_symbol("invg", INVG);
std_symbol("isinteger", ISINTEGER);
std_symbol("isprime", ISPRIME);
std_symbol("laguerre", LAGUERRE);
std_symbol("lcm", LCM);
std_symbol("legendre", LEGENDRE);
std_symbol("log", LOG);
std_symbol("mag", MAG);
std_symbol("mod", MOD);
std_symbol("multiply", MULTIPLY);
std_symbol("not", NOT);
std_symbol("number", NUMBER);
std_symbol("numerator", NUMERATOR);
std_symbol("operator", OPERATOR);
std_symbol("or", OR);
std_symbol("outer", OUTER);
std_symbol("polar", POLAR);
std_symbol("power", POWER);
std_symbol("prime", PRIME);
std_symbol("print", PRINT);
std_symbol("product", PRODUCT);
std_symbol("prog", PROG);
std_symbol("quote", QUOTE);
std_symbol("quotient", QUOTIENT);
std_symbol("rank", RANK);
std_symbol("rationalize", RATIONALIZE);
std_symbol("real", REAL);
std_symbol("rect", YYRECT);
std_symbol("return", RETURN);
std_symbol("roots", ROOTS);
std_symbol("equals", SETQ);
std_symbol("sgn", SGN);
// std_symbol("simfac", SIMFAC);
std_symbol("simplify", SIMPLIFY);
std_symbol("sin", SIN);
std_symbol("sinh", SINH);
std_symbol("sqrt", SQRT);
std_symbol("stop", STOP);
std_symbol("subst", SUBST);
std_symbol("sum", SUM);
std_symbol("summarize", SUMMARIZE);
std_symbol("tab", TAB);
std_symbol("tan", TAN);
std_symbol("tanh", TANH);
std_symbol("taylor", TAYLOR);
std_symbol("tchebychevT", TCHEBYCHEVT);
std_symbol("tchebychevU", TCHEBYCHEVU);
std_symbol("test", TEST);
std_symbol("testeq", TESTEQ);
std_symbol("testge", TESTGE);
std_symbol("testgt", TESTGT);
std_symbol("testle", TESTLE);
std_symbol("testlt", TESTLT);
std_symbol("trace", TRACE);
std_symbol("transpose", TRANSPOSE);
std_symbol("unit", UNIT);
std_symbol("zero", ZERO);
std_symbol("nil", NIL);
// each symbol needs a unique name because equal() compares printnames
std_symbol("autoexpand", AUTOEXPAND);
std_symbol("bake", BAKE);
std_symbol("last", LAST);
std_symbol("tty", TTY);
std_symbol("~", YYE); // tilde so sort puts it after other symbols
std_symbol("YYLAST", YYLAST);
std_symbol("SECRETX", SECRETX);
std_symbol("METAA", METAA);
std_symbol("METAB", METAB);
std_symbol("METAX", METAX);
std_symbol("pi", PI);
std_symbol("a", SYMBOL_A);
std_symbol("b", SYMBOL_B);
std_symbol("c", SYMBOL_C);
std_symbol("d", SYMBOL_D);
std_symbol("n", SYMBOL_N);
std_symbol("r", SYMBOL_R);
std_symbol("t", SYMBOL_T);
std_symbol("x", SYMBOL_X);
std_symbol("y", SYMBOL_Y);
std_symbol("z", SYMBOL_Z);
std_symbol("$C1", C1);
std_symbol("$C2", C2);
std_symbol("$C3", C3);
std_symbol("$C4", C4);
std_symbol("$C5", C5);
std_symbol("$C6", C6);
meta_a = usr_symbol("$a");
meta_b = usr_symbol("$b");
meta_c = usr_symbol("$c");
meta_n = usr_symbol("$n");
meta_x = usr_symbol("$x");
formal_arg[0] = usr_symbol("$1");
formal_arg[1] = usr_symbol("$2");
formal_arg[2] = usr_symbol("$3");
formal_arg[3] = usr_symbol("$4");
formal_arg[4] = usr_symbol("$5");
formal_arg[5] = usr_symbol("$6");
// set up for evaluation
tos = 0;
frame = stack + TOS;
push_integer(0);
zero = pop(); // must be untagged in gc
push_integer(1);
one = pop(); // must be untagged in gc
push_symbol(POWER);
push_integer(-1);
push_rational(1, 2);
list(3);
imaginaryunit = pop(); // must be untagged in gc
defn();
}
static char *defn_str[] = {
"e=exp(1)",
"i=sqrt(-1)",
"autoexpand=1",
"trange=(-pi,pi)",
"xrange=(-10,10)",
"yrange=(-10,10)",
"last=0",
"tty=0",
"curl(v)=(d(v[3],y)-d(v[2],z),d(v[1],z)-d(v[3],x),d(v[2],x)-d(v[1],y))",
"div(v)=d(v[1],x)+d(v[2],y)+d(v[3],z)",
};
void
defn(void)
{
int i, n;
n = sizeof defn_str / sizeof (char *);
for (i = 0; i < n; i++) {
scan(defn_str[i]);
eval();
pop();
}
}