250206.1 · 972772153f3d6905c7e6a2bad7b7e3b4706185a1
Move oniguruma and decNumber to vendor directory (#3234)
reading declarations
Changes to vendor/decNumber/decimal32.c. All files
@@ -0,0 +1,476 @@+/* ------------------------------------------------------------------ */ +/* Decimal 32-bit format module */ +/* ------------------------------------------------------------------ */ +/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */ +/* */ +/* This software is made available under the terms of the */ +/* ICU License -- ICU 1.8.1 and later. */ +/* */ +/* The description and User's Guide ("The decNumber C Library") for */ +/* this software is called decNumber.pdf. This document is */ +/* available, together with arithmetic and format specifications, */ +/* testcases, and Web links, on the General Decimal Arithmetic page. */ +/* */ +/* Please send comments, suggestions, and corrections to the author: */ +/* mfc@uk.ibm.com */ +/* Mike Cowlishaw, IBM Fellow */ +/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ +/* ------------------------------------------------------------------ */ +/* This module comprises the routines for decimal32 format numbers. */ +/* Conversions are supplied to and from decNumber and String. */ +/* */ +/* This is used when decNumber provides operations, either for all */ +/* operations or as a proxy between decNumber and decSingle. */ +/* */ +/* Error handling is the same as decNumber (qv.). */ +/* ------------------------------------------------------------------ */ +#include <string.h> // [for memset/memcpy] +#include <stdio.h> // [for printf] + +#define DECNUMDIGITS 7 // make decNumbers with space for 7 +#include "decNumber.h" // base number library +#include "decNumberLocal.h" // decNumber local types, etc. +#include "decimal32.h" // our primary include + +/* Utility tables and routines [in decimal64.c] */ +// DPD2BIN and the reverse are renamed to prevent link-time conflict +// if decQuad is also built in the same executable +#define DPD2BIN DPD2BINx +#define BIN2DPD BIN2DPDx +extern const uInt COMBEXP[32], COMBMSD[32]; +extern const uShort DPD2BIN[1024]; +extern const uShort BIN2DPD[1000]; +extern const uByte BIN2CHAR[4001]; + +extern void decDigitsToDPD(const decNumber *, uInt *, Int); +extern void decDigitsFromDPD(decNumber *, const uInt *, Int); + +#if DECTRACE || DECCHECK +void decimal32Show(const decimal32 *); // for debug +extern void decNumberShow(const decNumber *); // .. +#endif + +/* Useful macro */ +// Clear a structure (e.g., a decNumber) +#define DEC_clear(d) memset(d, 0, sizeof(*d)) + +/* ------------------------------------------------------------------ */ +/* decimal32FromNumber -- convert decNumber to decimal32 */ +/* */ +/* ds is the target decimal32 */ +/* dn is the source number (assumed valid) */ +/* set is the context, used only for reporting errors */ +/* */ +/* The set argument is used only for status reporting and for the */ +/* rounding mode (used if the coefficient is more than DECIMAL32_Pmax */ +/* digits or an overflow is detected). If the exponent is out of the */ +/* valid range then Overflow or Underflow will be raised. */ +/* After Underflow a subnormal result is possible. */ +/* */ +/* DEC_Clamped is set if the number has to be 'folded down' to fit, */ +/* by reducing its exponent and multiplying the coefficient by a */ +/* power of ten, or if the exponent on a zero had to be clamped. */ +/* ------------------------------------------------------------------ */ +decimal32 * decimal32FromNumber(decimal32 *d32, const decNumber *dn, + decContext *set) { + uInt status=0; // status accumulator + Int ae; // adjusted exponent + decNumber dw; // work + decContext dc; // .. + uInt comb, exp; // .. + uInt uiwork; // for macros + uInt targ=0; // target 32-bit + + // If the number has too many digits, or the exponent could be + // out of range then reduce the number under the appropriate + // constraints. This could push the number to Infinity or zero, + // so this check and rounding must be done before generating the + // decimal32] + ae=dn->exponent+dn->digits-1; // [0 if special] + if (dn->digits>DECIMAL32_Pmax // too many digits + || ae>DECIMAL32_Emax // likely overflow + || ae<DECIMAL32_Emin) { // likely underflow + decContextDefault(&dc, DEC_INIT_DECIMAL32); // [no traps] + dc.round=set->round; // use supplied rounding + decNumberPlus(&dw, dn, &dc); // (round and check) + // [this changes -0 to 0, so enforce the sign...] + dw.bits|=dn->bits&DECNEG; + status=dc.status; // save status + dn=&dw; // use the work number + } // maybe out of range + + if (dn->bits&DECSPECIAL) { // a special value + if (dn->bits&DECINF) targ=DECIMAL_Inf<<24; + else { // sNaN or qNaN + if ((*dn->lsu!=0 || dn->digits>1) // non-zero coefficient + && (dn->digits<DECIMAL32_Pmax)) { // coefficient fits + decDigitsToDPD(dn, &targ, 0); + } + if (dn->bits&DECNAN) targ|=DECIMAL_NaN<<24; + else targ|=DECIMAL_sNaN<<24; + } // a NaN + } // special + + else { // is finite + if (decNumberIsZero(dn)) { // is a zero + // set and clamp exponent + if (dn->exponent<-DECIMAL32_Bias) { + exp=0; // low clamp + status|=DEC_Clamped; + } + else { + exp=dn->exponent+DECIMAL32_Bias; // bias exponent + if (exp>DECIMAL32_Ehigh) { // top clamp + exp=DECIMAL32_Ehigh; + status|=DEC_Clamped; + } + } + comb=(exp>>3) & 0x18; // msd=0, exp top 2 bits .. + } + else { // non-zero finite number + uInt msd; // work + Int pad=0; // coefficient pad digits + + // the dn is known to fit, but it may need to be padded + exp=(uInt)(dn->exponent+DECIMAL32_Bias); // bias exponent + if (exp>DECIMAL32_Ehigh) { // fold-down case + pad=exp-DECIMAL32_Ehigh; + exp=DECIMAL32_Ehigh; // [to maximum] + status|=DEC_Clamped; + } + + // fastpath common case + if (DECDPUN==3 && pad==0) { + targ=BIN2DPD[dn->lsu[0]]; + if (dn->digits>3) targ|=(uInt)(BIN2DPD[dn->lsu[1]])<<10; + msd=(dn->digits==7 ? dn->lsu[2] : 0); + } + else { // general case + decDigitsToDPD(dn, &targ, pad); + // save and clear the top digit + msd=targ>>20; + targ&=0x000fffff; + } + + // create the combination field + if (msd>=8) comb=0x18 | ((exp>>5) & 0x06) | (msd & 0x01); + else comb=((exp>>3) & 0x18) | msd; + } + targ|=comb<<26; // add combination field .. + targ|=(exp&0x3f)<<20; // .. and exponent continuation + } // finite + + if (dn->bits&DECNEG) targ|=0x80000000; // add sign bit + + // now write to storage; this is endian + UBFROMUI(d32->bytes, targ); // directly store the int + + if (status!=0) decContextSetStatus(set, status); // pass on status + // decimal32Show(d32); + return d32; + } // decimal32FromNumber + +/* ------------------------------------------------------------------ */ +/* decimal32ToNumber -- convert decimal32 to decNumber */ +/* d32 is the source decimal32 */ +/* dn is the target number, with appropriate space */ +/* No error is possible. */ +/* ------------------------------------------------------------------ */ +decNumber * decimal32ToNumber(const decimal32 *d32, decNumber *dn) { + uInt msd; // coefficient MSD + uInt exp; // exponent top two bits + uInt comb; // combination field + uInt sour; // source 32-bit + uInt uiwork; // for macros + + // load source from storage; this is endian + sour=UBTOUI(d32->bytes); // directly load the int + + comb=(sour>>26)&0x1f; // combination field + + decNumberZero(dn); // clean number + if (sour&0x80000000) dn->bits=DECNEG; // set sign if negative + + msd=COMBMSD[comb]; // decode the combination field + exp=COMBEXP[comb]; // .. + + if (exp==3) { // is a special + if (msd==0) { + dn->bits|=DECINF; + return dn; // no coefficient needed + } + else if (sour&0x02000000) dn->bits|=DECSNAN; + else dn->bits|=DECNAN; + msd=0; // no top digit + } + else { // is a finite number + dn->exponent=(exp<<6)+((sour>>20)&0x3f)-DECIMAL32_Bias; // unbiased + } + + // get the coefficient + sour&=0x000fffff; // clean coefficient continuation + if (msd) { // non-zero msd + sour|=msd<<20; // prefix to coefficient + decDigitsFromDPD(dn, &sour, 3); // process 3 declets + return dn; + } + // msd=0 + if (!sour) return dn; // easy: coefficient is 0 + if (sour&0x000ffc00) // need 2 declets? + decDigitsFromDPD(dn, &sour, 2); // process 2 declets + else + decDigitsFromDPD(dn, &sour, 1); // process 1 declet + return dn; + } // decimal32ToNumber + +/* ------------------------------------------------------------------ */ +/* to-scientific-string -- conversion to numeric string */ +/* to-engineering-string -- conversion to numeric string */ +/* */ +/* decimal32ToString(d32, string); */ +/* decimal32ToEngString(d32, string); */ +/* */ +/* d32 is the decimal32 format number to convert */ +/* string is the string where the result will be laid out */ +/* */ +/* string must be at least 24 characters */ +/* */ +/* No error is possible, and no status can be set. */ +/* ------------------------------------------------------------------ */ +char * decimal32ToEngString(const decimal32 *d32, char *string){ + decNumber dn; // work + decimal32ToNumber(d32, &dn); + decNumberToEngString(&dn, string); + return string; + } // decimal32ToEngString + +char * decimal32ToString(const decimal32 *d32, char *string){ + uInt msd; // coefficient MSD + Int exp; // exponent top two bits or full + uInt comb; // combination field + char *cstart; // coefficient start + char *c; // output pointer in string + const uByte *u; // work + char *s, *t; // .. (source, target) + Int dpd; // .. + Int pre, e; // .. + uInt uiwork; // for macros + uInt sour; // source 32-bit + + // load source from storage; this is endian + sour=UBTOUI(d32->bytes); // directly load the int + + c=string; // where result will go + if (((Int)sour)<0) *c++='-'; // handle sign + + comb=(sour>>26)&0x1f; // combination field + msd=COMBMSD[comb]; // decode the combination field + exp=COMBEXP[comb]; // .. + + if (exp==3) { + if (msd==0) { // infinity + strcpy(c, "Inf"); + strcpy(c+3, "inity"); + return string; // easy + } + if (sour&0x02000000) *c++='s'; // sNaN + strcpy(c, "NaN"); // complete word + c+=3; // step past + if ((sour&0x000fffff)==0) return string; // zero payload + // otherwise drop through to add integer; set correct exp + exp=0; msd=0; // setup for following code + } + else exp=(exp<<6)+((sour>>20)&0x3f)-DECIMAL32_Bias; // unbiased + + // convert 7 digits of significand to characters + cstart=c; // save start of coefficient + if (msd) *c++='0'+(char)msd; // non-zero most significant digit + + // Now decode the declets. After extracting each one, it is + // decoded to binary and then to a 4-char sequence by table lookup; + // the 4-chars are a 1-char length (significant digits, except 000 + // has length 0). This allows us to left-align the first declet + // with non-zero content, then remaining ones are full 3-char + // length. We use fixed-length memcpys because variable-length + // causes a subroutine call in GCC. (These are length 4 for speed + // and are safe because the array has an extra terminator byte.) + #define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \ + if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \ + else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;} + + dpd=(sour>>10)&0x3ff; // declet 1 + dpd2char; + dpd=(sour)&0x3ff; // declet 2 + dpd2char; + + if (c==cstart) *c++='0'; // all zeros -- make 0 + + if (exp==0) { // integer or NaN case -- easy + *c='\0'; // terminate + return string; + } + + /* non-0 exponent */ + e=0; // assume no E + pre=c-cstart+exp; + // [here, pre-exp is the digits count (==1 for zero)] + if (exp>0 || pre<-5) { // need exponential form + e=pre-1; // calculate E value + pre=1; // assume one digit before '.' + } // exponential form + + /* modify the coefficient, adding 0s, '.', and E+nn as needed */ + s=c-1; // source (LSD) + if (pre>0) { // ddd.ddd (plain), perhaps with E + char *dotat=cstart+pre; + if (dotat<c) { // if embedded dot needed... + t=c; // target + for (; s>=dotat; s--, t--) *t=*s; // open the gap; leave t at gap + *t='.'; // insert the dot + c++; // length increased by one + } + + // finally add the E-part, if needed; it will never be 0, and has + // a maximum length of 3 digits (E-101 case) + if (e!=0) { + *c++='E'; // starts with E + *c++='+'; // assume positive + if (e<0) { + *(c-1)='-'; // oops, need '-' + e=-e; // uInt, please + } + u=&BIN2CHAR[e*4]; // -> length byte + memcpy(c, u+4-*u, 4); // copy fixed 4 characters [is safe] + c+=*u; // bump pointer appropriately + } + *c='\0'; // add terminator + //printf("res %s\n", string); + return string; + } // pre>0 + + /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */ + t=c+1-pre; + *(t+1)='\0'; // can add terminator now + for (; s>=cstart; s--, t--) *t=*s; // shift whole coefficient right + c=cstart; + *c++='0'; // always starts with 0. + *c++='.'; + for (; pre<0; pre++) *c++='0'; // add any 0's after '.' + //printf("res %s\n", string); + return string; + } // decimal32ToString + +/* ------------------------------------------------------------------ */ +/* to-number -- conversion from numeric string */ +/* */ +/* decimal32FromString(result, string, set); */ +/* */ +/* result is the decimal32 format number which gets the result of */ +/* the conversion */ +/* *string is the character string which should contain a valid */ +/* number (which may be a special value) */ +/* set is the context */ +/* */ +/* The context is supplied to this routine is used for error handling */ +/* (setting of status and traps) and for the rounding mode, only. */ +/* If an error occurs, the result will be a valid decimal32 NaN. */ +/* ------------------------------------------------------------------ */ +decimal32 * decimal32FromString(decimal32 *result, const char *string, + decContext *set) { + decContext dc; // work + decNumber dn; // .. + + decContextDefault(&dc, DEC_INIT_DECIMAL32); // no traps, please + dc.round=set->round; // use supplied rounding + + decNumberFromString(&dn, string, &dc); // will round if needed + decimal32FromNumber(result, &dn, &dc); + if (dc.status!=0) { // something happened + decContextSetStatus(set, dc.status); // .. pass it on + } + return result; + } // decimal32FromString + +/* ------------------------------------------------------------------ */ +/* decimal32IsCanonical -- test whether encoding is canonical */ +/* d32 is the source decimal32 */ +/* returns 1 if the encoding of d32 is canonical, 0 otherwise */ +/* No error is possible. */ +/* ------------------------------------------------------------------ */ +uInt decimal32IsCanonical(const decimal32 *d32) { + decNumber dn; // work + decimal32 canon; // .. + decContext dc; // .. + decContextDefault(&dc, DEC_INIT_DECIMAL32); + decimal32ToNumber(d32, &dn); + decimal32FromNumber(&canon, &dn, &dc);// canon will now be canonical + return memcmp(d32, &canon, DECIMAL32_Bytes)==0; + } // decimal32IsCanonical + +/* ------------------------------------------------------------------ */ +/* decimal32Canonical -- copy an encoding, ensuring it is canonical */ +/* d32 is the source decimal32 */ +/* result is the target (may be the same decimal32) */ +/* returns result */ +/* No error is possible. */ +/* ------------------------------------------------------------------ */ +decimal32 * decimal32Canonical(decimal32 *result, const decimal32 *d32) { + decNumber dn; // work + decContext dc; // .. + decContextDefault(&dc, DEC_INIT_DECIMAL32); + decimal32ToNumber(d32, &dn); + decimal32FromNumber(result, &dn, &dc);// result will now be canonical + return result; + } // decimal32Canonical + +#if DECTRACE || DECCHECK +/* Macros for accessing decimal32 fields. These assume the argument + is a reference (pointer) to the decimal32 structure, and the + decimal32 is in network byte order (big-endian) */ +// Get sign +#define decimal32Sign(d) ((unsigned)(d)->bytes[0]>>7) + +// Get combination field +#define decimal32Comb(d) (((d)->bytes[0] & 0x7c)>>2) + +// Get exponent continuation [does not remove bias] +#define decimal32ExpCon(d) ((((d)->bytes[0] & 0x03)<<4) \ + | ((unsigned)(d)->bytes[1]>>4)) + +// Set sign [this assumes sign previously 0] +#define decimal32SetSign(d, b) { \ + (d)->bytes[0]|=((unsigned)(b)<<7);} + +// Set exponent continuation [does not apply bias] +// This assumes range has been checked and exponent previously 0; +// type of exponent must be unsigned +#define decimal32SetExpCon(d, e) { \ + (d)->bytes[0]|=(uByte)((e)>>4); \ + (d)->bytes[1]|=(uByte)(((e)&0x0F)<<4);} + +/* ------------------------------------------------------------------ */ +/* decimal32Show -- display a decimal32 in hexadecimal [debug aid] */ +/* d32 -- the number to show */ +/* ------------------------------------------------------------------ */ +// Also shows sign/cob/expconfields extracted - valid bigendian only +void decimal32Show(const decimal32 *d32) { + char buf[DECIMAL32_Bytes*2+1]; + Int i, j=0; + + if (DECLITEND) { + for (i=0; i<DECIMAL32_Bytes; i++, j+=2) { + sprintf(&buf[j], "%02x", d32->bytes[3-i]); + } + printf(" D32> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf, + d32->bytes[3]>>7, (d32->bytes[3]>>2)&0x1f, + ((d32->bytes[3]&0x3)<<4)| (d32->bytes[2]>>4)); + } + else { + for (i=0; i<DECIMAL32_Bytes; i++, j+=2) { + sprintf(&buf[j], "%02x", d32->bytes[i]); + } + printf(" D32> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf, + decimal32Sign(d32), decimal32Comb(d32), decimal32ExpCon(d32)); + } + } // decimal32Show +#endif