/* $XConsortium: math.c,v 1.17 91/07/25 17:51:34 rws Exp $ * * math.c - mathematics functions for a hand calculator under X * * Author: John H. Bradley, University of Pennsylvania * (bradley@cis.upenn.edu) * March, 1987 * * RPN mode added and port to X11 by Mark Rosenstein, MIT Project Athena * * Modified to be a client of the Xt toolkit and the Athena widget set by * Donna Converse, MIT X Consortium. This is all that remains of the * original calculator, and it still needs to be rewritten. The HP * functionality should be separated from the TI functionality. * Beware the HP functions: there are still errors here. */ #include #include #include #include #if !defined(IEEE) && defined(SVR4) #include #endif #include #include "xcalc.h" #include #ifdef _CRAY /* kludge around Cray STDC compiler */ double (*log_p)() = log; #define log ((*log_p)) double (*exp_p)() = exp; #define exp ((*exp_p)) double (*sqrt_p)() = sqrt; #define sqrt ((*sqrt_p)) double (*log10_p)() = log10; #define log10 ((*log10_p)) double (*atan2_p)() = atan2; #define atan2 ((*atan2_p)) double (*asin_p)() = asin; #define asin ((*asin_p)) double (*acos_p)() = acos; #define acos ((*acos_p)) double (*atan_p)() = atan; #define atan ((*atan_p)) double (*sin_p)() = sin; #define sin ((*sin_p)) double (*cos_p)() = cos; #define cos ((*cos_p)) double (*tan_p)() = tan; #define tan ((*tan_p)) double (*pow_p)() = pow; #define pow ((*pow_p)) #endif /* _CRAY */ #ifndef PI /* sometimes defined in math.h */ #define PI 3.14159265358979 #endif #define E 2.71828182845904 #define MAXDISP 11 #define DEG 0 /* DRG mode. used for trig calculations */ #define RAD 1 #define GRAD 2 #define min(a,b) ((a) < (b) ? (a) : (b)) #define max(a,b) ((a) > (b) ? (a) : (b)) #define True 1 #define False 0 extern int errno; extern int rpn; extern char dispstr[]; extern void draw(); extern void ringbell(); extern void setflag(); extern void Quit(); #ifndef IEEE jmp_buf env; #endif /* This section is all of the state machine that implements the calculator * functions. Much of it is shared between the infix and rpn modes. */ int flagINV, flagPAREN, flagM, drgmode; /* display flags */ static double drg2rad=PI/180.0; /* Conversion factors for trig funcs */ static double rad2drg=180.0/PI; static int entered=1; /* true if display contains a valid number. if==2, then use 'dnum', rather than the string stored in the display. (for accuracy) if==3, then error occurred, only CLR & AC work */ /* entered seems to be overloaded - dmc */ static int lift_enabled = 0; /* for rpn mode only */ static int CLR =0; /* CLR clears display. if 1, clears acc, also */ static int OFF =0; /* once clears mem, twice quits */ static int Dpoint=0; /* to prevent using decimal pt twice in a # */ static int clrdisp=1; /* if true clears display before entering # */ static int accset =0; static int lastop =kCLR; static int memop =kCLR; static int exponent=0; static double acc =0.0; static double dnum=0.0; #define XCALC_MEMORY 10 static double mem[XCALC_MEMORY] = { 0.0 }; /* * The following is to deal with the unfortunate assumption that if errno * is non-zero then an error has occurred. On some systems (e.g. Ultrix), * sscanf will call lower level routines that will set errno. */ void parse_double (src, fmt, dp) char *src; char *fmt; double *dp; { int olderrno = errno; (void) sscanf (src, fmt, dp); errno = olderrno; return; } /*********************************/ int pre_op(keynum) int keynum; { if (keynum==-1) return(0); errno = 0; /* for non-IEEE machines */ if ( (entered==3) && !(keynum==kCLR || keynum==kOFF)) { if (rpn) { clrdisp++; } else { ringbell(); return(1); /* the intent was probably not to do the operation */ } } if (keynum != kCLR) CLR=0; if (keynum != kOFF) OFF=0; return(0); } #ifndef IEEE /* cannot assign result of setjmp under ANSI C, use global instead */ static int SignalKind; static int SignalCode; void fail_op() { if (SignalKind == SIGFPE) switch (SignalCode) { #ifdef SVR4 case FPE_INTDIV: /* integer divide by zero */ case FPE_FLTDIV: /* floating point divide by zero */ strcpy(dispstr, "divide by 0"); break; case FPE_INTOVF: /* integer overflow */ case FPE_FLTOVF: /* floating point overflow */ strcpy(dispstr, "overflow"); break; case FPE_FLTUND: /* floating point underflow */ strcpy(dispstr, "underflow"); break; case FPE_FLTRES: /* floating point inexact result */ strcpy(dispstr, "inexact result"); break; case FPE_FLTINV: /* invalid floating point operation */ strcpy(dispstr, "invalid op"); break; case FPE_FLTSUB: /* subscript out of range */ strcpy(dispstr, "out of range"); break; #endif /*SVR4*/ #ifdef FPE_FLTDIV_TRAP case FPE_FLTDIV_TRAP: strcpy(dispstr,"div by zero"); break; #endif #ifdef FPE_FLTDIV_FAULT case FPE_FLTDIV_FAULT: strcpy(dispstr,"div by zero"); break; #endif #ifdef FPE_FLTOVF_TRAP case FPE_FLTOVF_TRAP: strcpy(dispstr,"overflow"); break; #endif #ifdef FPE_FLTOVF_FAULT case FPE_FLTOVF_FAULT: strcpy(dispstr,"overflow"); break; #endif #ifdef FPE_FLTUND_TRAP case FPE_FLTUND_TRAP: strcpy(dispstr,"underflow"); break; #endif #ifdef FPE_FLTUND_FAULT case FPE_FLTUND_FAULT: strcpy(dispstr,"underflow"); break; #endif default: strcpy(dispstr,"error"); } else if (SignalKind == SIGILL) strcpy(dispstr, "illegal operand"); entered=3; DrawDisplay(); return; } /* keep SVR4 compiler from complaining about scope of arg declaration below */ typedef struct sigcontext * sigcontextstructp; /*ARGSUSED*/ signal_t fperr(sig,code,scp) int sig,code; sigcontextstructp scp; { #ifdef SYSV signal(SIGFPE,(signal_t (*)())fperr); #endif SignalKind = sig; SignalCode = code; longjmp(env,1); } /* for VAX BSD4.3 */ /*ARGSUSED*/ signal_t illerr(sig,code,scp) int sig,code; sigcontextstructp scp; { /* not reset when caught? */ signal(SIGILL,(signal_t (*)())illerr); SignalKind = sig; SignalCode = code; longjmp(env,1); } #endif /* not IEEE */ void post_op() { #ifdef DEBUG showstack("\0"); #endif #ifndef IEEE if (errno) { strcpy(dispstr,"error"); DrawDisplay(); entered=3; errno=0; } #endif } /*-------------------------------------------------------------------------*/ DrawDisplay() { if ((int) strlen(dispstr) > 12) { /* strip out some decimal digits */ char tmp[32]; char *estr = index(dispstr,'e'); /* search for exponent part */ if (!estr) dispstr[12]='\0'; /* no exp, just trunc. */ else { if ((int) strlen(estr) <= 4) sprintf(tmp,"%.8s",dispstr); /* leftmost 8 chars */ else sprintf(tmp,"%.7s",dispstr); /* leftmost 7 chars */ strcat (tmp,estr); /* plus exponent */ strcpy (dispstr,tmp); } } draw(dispstr); setflag(XCalc_MEMORY, (flagM)); setflag(XCalc_INVERSE, (flagINV)); setflag(XCalc_DEGREE, (drgmode==DEG)); setflag(XCalc_RADIAN, (drgmode==RAD)); setflag(XCalc_GRADAM, (drgmode==GRAD)); setflag(XCalc_PAREN, (flagPAREN)); } /*-------------------------------------------------------------------------*/ numeric(keynum) int keynum; { char st[2]; int cell; flagINV=0; if (rpn && (memop == kSTO || memop == kRCL || memop == kSUM)) { switch (keynum) { case kONE: cell = 1; break; case kTWO: cell = 2; break; case kTHREE: cell = 3; break; case kFOUR: cell = 4; break; case kFIVE: cell = 5; break; case kSIX: cell = 6; break; case kSEVEN: cell = 7; break; case kEIGHT: cell = 8; break; case kNINE: cell = 9; break; case kZERO: cell = 0; break; } switch (memop) { case kSTO: mem[cell] = dnum; lift_enabled = 1; entered = 2; clrdisp++; break; case kRCL: PushNum(dnum); dnum = mem[cell]; sprintf(dispstr, "%.8g", dnum); lift_enabled = 1; entered = 1; clrdisp = 0; break; case kSUM: mem[cell] += dnum; lift_enabled = 1; entered = 2; clrdisp++; break; } memop = kCLR; DrawDisplay(); return; } if (clrdisp) { dispstr[0]='\0'; exponent=Dpoint=0; /* if (rpn && entered==2) PushNum(dnum); */ if (rpn & lift_enabled) PushNum(dnum); } if ((int) strlen(dispstr) >= MAXDISP) return; switch (keynum){ case kONE: st[0] = '1'; break; case kTWO: st[0] = '2'; break; case kTHREE: st[0] = '3'; break; case kFOUR: st[0] = '4'; break; case kFIVE: st[0] = '5'; break; case kSIX: st[0] = '6'; break; case kSEVEN: st[0] = '7'; break; case kEIGHT: st[0] = '8'; break; case kNINE: st[0] = '9'; break; case kZERO: st[0] = '0'; break; } st[1] = '\0'; strcat(dispstr,st); DrawDisplay(); if (clrdisp && keynum != kZERO) clrdisp=0; /*no leading 0s*/ entered=1; lift_enabled = 0; } bkspf() { lift_enabled = 0; if (! flagINV) { if (entered!=1 || clrdisp) return; if ((int) strlen(dispstr) > 0) dispstr[strlen(dispstr)-1] = 0; if (strlen(dispstr) == 0) { strcat(dispstr, "0"); clrdisp++; } } else { strcpy(dispstr, "0"); dnum = 0.0; clrdisp++; flagINV = 0; } DrawDisplay(); } decf() { flagINV=0; if (clrdisp) { if (rpn) PushNum(dnum); strcpy(dispstr,"0"); } if (!Dpoint) { strcat(dispstr,"."); DrawDisplay(); Dpoint++; } clrdisp=0; entered=1; } eef() { flagINV=0; if (clrdisp) { if (rpn && lift_enabled) PushNum(dnum); strcpy(dispstr, rpn ? "1" : "0"); } if (!exponent) { strcat(dispstr,"E+"); DrawDisplay(); exponent=strlen(dispstr)-1; /* where the '-' goes */ } clrdisp=0; entered=1; } clearf() { flagINV=0; if (CLR && !rpn) { /* clear all */ ClearStacks(); flagPAREN=0; } CLR++; exponent=Dpoint=0; clrdisp=1; entered=1; strcpy(dispstr,"0"); DrawDisplay(); } negf() { flagINV=0; if (exponent) { /* neg the exponent */ if (dispstr[exponent]=='-') dispstr[exponent]='+'; else dispstr[exponent]='-'; DrawDisplay(); return; } if (strcmp("0",dispstr)==0) return; /* don't neg a zero */ if (dispstr[0]=='-') /* already neg-ed */ strcpy(dispstr,dispstr+1); /* move str left once */ else { /* not neg-ed. add a '-' */ char tmp[32]; sprintf(tmp,"-%s",dispstr); strcpy(dispstr,tmp); } if (entered==2) dnum = -1.0 * dnum; DrawDisplay(); } /* Two operand functions for infix calc */ twoop(keynum) { double PopNum(); if (flagINV) { flagINV=0; DrawDisplay(); } if (!entered) { /* something like "5+*" */ if (!isopempty()) (void) PopOp(); /* replace the prev op */ PushOp(keynum); /* with the new one */ return; } if (entered==1) parse_double(dispstr,"%lf",&dnum); clrdisp=CLR=1; entered=Dpoint=exponent=0; if (!isopempty()) { /* there was a previous op */ lastop=PopOp(); /* get it */ if (lastop==kLPAR) { /* put it back */ PushOp(kLPAR); PushOp(keynum); PushNum(dnum); return; } /* now, if the current op (keynum) is of higher priority than the lastop, the current op and number are just pushed on top Priorities: (Y^X) > *,/ > +,- */ if (priority(keynum) > priority(lastop)) { PushNum(dnum); PushOp(lastop); PushOp(keynum); } else { /* execute lastop on lastnum and dnum, push result and current op on stack */ acc=PopNum(); switch (lastop) { /* perform the operation */ case kADD: acc += dnum; break; case kSUB: acc -= dnum; break; case kMUL: acc *= dnum; break; case kDIV: acc /= dnum; break; case kPOW: acc = pow(acc,dnum); break; } PushNum(acc); PushOp(keynum); sprintf(dispstr,"%.8g",acc); DrawDisplay(); dnum=acc; } } else { /* op stack is empty, push op and num */ PushOp(keynum); PushNum(dnum); } } /* Two operand functions for rpn calc */ twof(keynum) { double PopNum(); if (flagINV) { flagINV=0; DrawDisplay(); } if (!entered) return; if (entered==1) parse_double(dispstr, "%lf", &dnum); acc = PopNum(); switch(keynum) { case kADD: acc += dnum; break; case kSUB: acc -= dnum; break; case kMUL: acc *= dnum; break; case kDIV: acc /= dnum; break; case kPOW: acc = pow(acc,dnum); break; case kXXY: PushNum(dnum); } sprintf(dispstr, "%.8g", acc); DrawDisplay(); clrdisp++; Dpoint = exponent = 0; entered = 2; lift_enabled = 1; dnum = acc; } entrf() { flagINV=0; if (!entered) return; clrdisp=CLR=1; Dpoint=exponent=0; if (entered==1) parse_double(dispstr,"%lf",&dnum); entered=2; memop = kENTR; PushNum(dnum); lift_enabled = 0; } equf() { double PopNum(); flagINV=0; if (!entered) return; clrdisp=CLR=1; Dpoint=exponent=0; if (entered==1) parse_double(dispstr,"%lf",&dnum); entered=2; PushNum(dnum); while (!isopempty()) { /* do all pending ops */ dnum=PopNum(); acc=PopNum(); lastop=PopOp(); switch (lastop) { case kADD: acc += dnum; break; case kSUB: acc -= dnum; break; case kMUL: acc *= dnum; break; case kDIV: acc /= dnum; break; case kPOW: acc = pow(acc,dnum); break; case kLPAR: flagPAREN--; PushNum(acc); break; } dnum=acc; PushNum(dnum); } sprintf(dispstr,"%.8g",dnum); DrawDisplay(); } lparf() { flagINV=0; PushOp(kLPAR); flagPAREN++; DrawDisplay(); } rollf() { double PopNum(); if (!entered) return; if (entered==1) parse_double(dispstr, "%lf", &dnum); entered = 2; lift_enabled = 1; RollNum(flagINV); flagINV=0; clrdisp++; sprintf(dispstr, "%.8g", dnum); DrawDisplay(); } rparf() { double PopNum(); flagINV=0; if (!entered) return; if (!flagPAREN) return; clrdisp++; Dpoint=exponent=0; if (entered==1) parse_double(dispstr,"%lf",&dnum); entered=2; PushNum(dnum); while (!isopempty() && (lastop=PopOp())!=kLPAR) { /* do all pending ops, back to left paren */ dnum=PopNum(); acc=PopNum(); switch (lastop) { case kADD: acc += dnum; break; case kSUB: acc -= dnum; break; case kMUL: acc *= dnum; break; case kDIV: acc /= dnum; break; case kPOW: acc = pow(acc,dnum); break; } dnum=acc; PushNum(dnum); } (void) PopNum(); flagPAREN--; entered=2; sprintf(dispstr,"%.8g",dnum); DrawDisplay(); } drgf() { if (flagINV) { if (entered==1) parse_double(dispstr,"%lf",&dnum); switch (drgmode) { case DEG: dnum=dnum*PI/180.0; break; case RAD: dnum=dnum*200.0/PI; break; case GRAD: dnum=dnum*90.0/100.0; break; } entered=2; clrdisp=1; flagINV=0; sprintf(dispstr,"%.8g",dnum); } flagINV=0; drgmode = (drgmode + 1) % 3; switch (drgmode) { case DEG: drg2rad=PI / 180.0; rad2drg=180.0 / PI; break; case RAD: drg2rad=1.0; rad2drg=1.0; break; case GRAD: drg2rad=PI / 200.0; rad2drg=200.0 / PI; break; } DrawDisplay(); } invf() { flagINV = ~flagINV; DrawDisplay(); } memf(keynum) { memop = keynum; if (entered==1) parse_double(dispstr,"%lf",&dnum); entered = 2; clrdisp++; lift_enabled = 0; } oneop(keynum) { int i,j; double dtmp; if (entered==1) parse_double(dispstr,"%lf",&dnum); entered = 2; switch (keynum) { /* do the actual math fn. */ case kE: if (rpn && memop != kENTR) PushNum(dnum); dnum=E; break; case kPI: if (rpn && memop != kENTR) PushNum(dnum); dnum=PI; break; case kRECIP: dnum=1.0/dnum; break; case kSQR: flagINV = !flagINV; /* fall through to */ case kSQRT: if (flagINV) dnum=dnum*dnum; else dnum=sqrt(dnum); break; case k10X: flagINV = !flagINV; /* fall through to */ case kLOG: if (flagINV) dnum=pow(10.0,dnum); else dnum=log10(dnum); break; case kEXP: flagINV = !flagINV; /* fall through to */ case kLN: if (flagINV) dnum=exp(dnum); else dnum=log(dnum); break; case kSIN: if (flagINV) dnum=asin(dnum)*rad2drg; else dnum=sin(dnum*drg2rad); break; case kCOS: if (flagINV) dnum=acos(dnum)*rad2drg; else dnum=cos(dnum*drg2rad); break; case kTAN: if (flagINV) dnum=atan(dnum)*rad2drg; else dnum=tan(dnum*drg2rad); break; case kSTO: mem[0]=dnum; flagM=!(mem[0]==0.0); break; case kRCL: if (rpn && lift_enabled) PushNum(dnum); dnum=mem[0]; flagM=!(mem[0]==0.0); break; case kSUM: mem[0]+=dnum; flagM=!(mem[0]==0.0); break; case kEXC: dtmp=dnum; dnum=mem[0]; mem[0]=dtmp; flagM=!(mem[0]==0.0); break; case kFACT: if (floor(dnum)!=dnum || dnum<0.0 || dnum>500.0) { strcpy(dispstr,"error"); entered=3; break; } i=(int) (floor(dnum)); for (j=1,dnum=1.0; j<=i; j++) dnum*=(float) j; break; } if (entered==3) { /* error */ DrawDisplay(); return; } entered=2; clrdisp=1; flagINV=0; lift_enabled = 1; sprintf(dispstr,"%.8g",dnum); DrawDisplay(); } offf() { /* full reset */ int i; ResetCalc(); entered=clrdisp=1; lift_enabled = 0; dnum=mem[0]=0.0; if (rpn) for (i=1; i < XCALC_MEMORY; i++) mem[i]=0.0; accset=exponent=Dpoint=0; DrawDisplay(); } #define STACKMAX 32 static int opstack[STACKMAX]; static int opsp; static double numstack[STACKMAX]; static int numsp; /*******/ PushOp(op) int op; /*******/ { if (opsp==STACKMAX) {strcpy(dispstr,"stack error"); entered=3;} else opstack[opsp++]=op; } /*******/ int PopOp() /*******/ { if (opsp==0) { strcpy(dispstr,"stack error"); entered=3; return(kNOP); } else return(opstack[--opsp]); } /*******/ int isopempty() /*******/ { return( opsp ? 0 : 1 ); } #ifdef DEBUG showstack(string) char *string; { fprintf(stderr, "%s: %lf %lf %lf\n", string, numstack[0], numstack[1], numstack[2]); } #endif /*******/ PushNum(num) double num; /*******/ { if (rpn) { numstack[2] = numstack[1]; numstack[1] = numstack[0]; numstack[0] = num; return; } if (numsp==STACKMAX) { strcpy(dispstr,"stack error"); entered=3; } else numstack[numsp++]=num; } /*******/ double PopNum() /*******/ { if (rpn) { double tmp = numstack[0]; numstack[0] = numstack[1]; numstack[1] = numstack[2]; return(tmp); } if (numsp==0) { strcpy(dispstr,"stack error"); entered=3; return 0.0; } else return(numstack[--numsp]); } /*******/ RollNum(dir) /*******/ { double tmp; if (dir) { /* roll up */ tmp = dnum; dnum = numstack[2]; numstack[2] = numstack[1]; numstack[1] = numstack[0]; numstack[0] = tmp; } else { /* roll down */ tmp = dnum; dnum = numstack[0]; numstack[0] = numstack[1]; numstack[1] = numstack[2]; numstack[2] = tmp; } } /*******/ ClearStacks() /*******/ { if (rpn) numstack[0] = numstack[1] = numstack[2] = 0.; opsp=numsp=0; } /*******/ int priority(op) int op; /*******/ { switch (op) { case kPOW: return(2); case kMUL: case kDIV: return(1); case kADD: case kSUB: return(0); } return 0; } /********/ ResetCalc() /********/ { flagM=flagINV=flagPAREN=0; drgmode=DEG; setflag(XCalc_MEMORY, False); setflag(XCalc_INVERSE, False); setflag(XCalc_PAREN, False); setflag(XCalc_RADIAN, False); setflag(XCalc_GRADAM, False); setflag(XCalc_DEGREE, True); strcpy(dispstr,"0"); draw(dispstr); ClearStacks(); drg2rad=PI/180.0; rad2drg=180.0/PI; }