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//===-- runtime/numeric-output.h --------------------------------*- C++ -*-===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
#ifndef FORTRAN_RUNTIME_NUMERIC_OUTPUT_H_
#define FORTRAN_RUNTIME_NUMERIC_OUTPUT_H_
// Output data editing templates implementing the FORMAT data editing
// descriptors E, EN, ES, EX, D, F, and G for REAL data (and COMPLEX
// components, I and G for INTEGER, and B/O/Z for both.
// See subclauses in 13.7.2.3 of Fortran 2018 for the
// detailed specifications of these descriptors.
// Drives the same binary-to-decimal formatting templates used
// by the f18 compiler.
#include "format.h"
#include "flang/common/unsigned-const-division.h"
#include "flang/decimal/decimal.h"
namespace Fortran::runtime::io {
class IoStatementState;
// Utility subroutines
static bool EmitRepeated(IoStatementState &io, char ch, int n) {
while (n-- > 0) {
if (!io.Emit(&ch, 1)) {
return false;
}
}
return true;
}
static bool EmitField(
IoStatementState &io, const char *p, std::size_t length, int width) {
if (width <= 0) {
width = static_cast<int>(length);
}
if (length > static_cast<std::size_t>(width)) {
return EmitRepeated(io, '*', width);
} else {
return EmitRepeated(io, ' ', static_cast<int>(width - length)) &&
io.Emit(p, length);
}
}
// I, B, O, Z, and (for INTEGER) G output editing.
// edit is const here so that a repeated edit descriptor may safely serve
// multiple array elements
static bool EditIntegerOutput(
IoStatementState &io, const DataEdit &edit, std::int64_t n) {
char buffer[66], *end = &buffer[sizeof buffer], *p = end;
std::uint64_t un{static_cast<std::uint64_t>(n < 0 ? -n : n)};
int signChars{0};
switch (edit.descriptor) {
case 'G':
case 'I':
if (n < 0 || (edit.modes.editingFlags & signPlus)) {
signChars = 1; // '-' or '+'
}
while (un > 0) {
auto quotient{common::DivideUnsignedBy<std::uint64_t, 10>(un)};
*--p = '0' + un - 10 * quotient;
un = quotient;
}
break;
case 'B':
for (; un > 0; un >>= 1) {
*--p = '0' + (un & 1);
}
break;
case 'O':
for (; un > 0; un >>= 3) {
*--p = '0' + (un & 7);
}
break;
case 'Z':
for (; un > 0; un >>= 4) {
int digit = un & 0xf;
*--p = digit >= 10 ? 'A' + (digit - 10) : '0' + digit;
}
break;
default:
io.Crash(
"Data edit descriptor '%c' may not be used with an INTEGER data item",
edit.descriptor);
return false;
}
int digits = end - p;
int leadingZeroes{0};
int editWidth{edit.width.value_or(0)};
if (edit.digits && digits <= *edit.digits) { // Iw.m
if (*edit.digits == 0 && n == 0) {
// Iw.0 with zero value: output field must be blank. For I0.0
// and a zero value, emit one blank character.
signChars = 0; // in case of SP
editWidth = std::max(1, editWidth);
} else {
leadingZeroes = *edit.digits - digits;
}
} else if (n == 0) {
leadingZeroes = 1;
}
int total{signChars + leadingZeroes + digits};
if (edit.width > 0 && total > editWidth) {
return EmitRepeated(io, '*', editWidth);
}
if (total < editWidth) {
EmitRepeated(io, '*', editWidth - total);
return false;
}
if (signChars) {
if (!io.Emit(n < 0 ? "-" : "+", 1)) {
return false;
}
}
return EmitRepeated(io, '0', leadingZeroes) && io.Emit(p, digits);
}
// Encapsulates the state of a REAL output conversion.
template<typename FLOAT = double, int decimalPrecision = 15,
int binaryPrecision = 53, std::size_t bufferSize = 1024>
class RealOutputEditing {
public:
RealOutputEditing(IoStatementState &io, FLOAT x) : io_{io}, x_{x} {}
bool Edit(const DataEdit &edit);
private:
// The DataEdit arguments here are const references or copies so that
// the original DataEdit can safely serve multiple array elements if
// it has a repeat count.
bool EditEorDOutput(const DataEdit &);
bool EditFOutput(const DataEdit &);
DataEdit EditForGOutput(DataEdit); // returns an E or F edit
bool EditEXOutput(const DataEdit &);
bool IsZero() const { return x_ == 0; }
const char *FormatExponent(int, const DataEdit &edit, int &length);
static enum decimal::FortranRounding SetRounding(
common::RoundingMode rounding) {
switch (rounding) {
case common::RoundingMode::TiesToEven: break;
case common::RoundingMode::Up: return decimal::RoundUp;
case common::RoundingMode::Down: return decimal::RoundDown;
case common::RoundingMode::ToZero: return decimal::RoundToZero;
case common::RoundingMode::TiesAwayFromZero:
return decimal::RoundCompatible;
}
return decimal::RoundNearest; // arranged thus to dodge bogus G++ warning
}
static bool IsDecimalNumber(const char *p) {
if (!p) {
return false;
}
if (*p == '-' || *p == '+') {
++p;
}
return *p >= '0' && *p <= '9';
}
decimal::ConversionToDecimalResult Convert(
int significantDigits, const DataEdit &, int flags = 0);
IoStatementState &io_;
FLOAT x_;
char buffer_[bufferSize];
int trailingBlanks_{0}; // created when G editing maps to F
char exponent_[16];
};
template<typename FLOAT, int decimalPrecision, int binaryPrecision,
std::size_t bufferSize>
decimal::ConversionToDecimalResult RealOutputEditing<FLOAT, decimalPrecision,
binaryPrecision, bufferSize>::Convert(int significantDigits,
const DataEdit &edit, int flags) {
if (edit.modes.editingFlags & signPlus) {
flags |= decimal::AlwaysSign;
}
auto converted{decimal::ConvertToDecimal<binaryPrecision>(buffer_, bufferSize,
static_cast<enum decimal::DecimalConversionFlags>(flags),
significantDigits, SetRounding(edit.modes.roundingMode),
decimal::BinaryFloatingPointNumber<binaryPrecision>(x_))};
if (!converted.str) { // overflow
io_.Crash("RealOutputEditing::Convert : buffer size %zd was insufficient",
bufferSize);
}
return converted;
}
// 13.7.2.3.3 in F'2018
template<typename FLOAT, int decimalPrecision, int binaryPrecision,
std::size_t bufferSize>
bool RealOutputEditing<FLOAT, decimalPrecision, binaryPrecision,
bufferSize>::EditEorDOutput(const DataEdit &edit) {
int editDigits{edit.digits.value_or(0)}; // 'd' field
int editWidth{edit.width.value_or(0)}; // 'w' field
int significantDigits{editDigits};
int flags{0};
if (editWidth == 0) { // "the processor selects the field width"
if (edit.digits.has_value()) { // E0.d
editWidth = editDigits + 6; // -.666E+ee
} else { // E0
flags |= decimal::Minimize;
significantDigits =
bufferSize - 5; // sign, NUL, + 3 extra for EN scaling
}
}
bool isEN{edit.variation == 'N'};
bool isES{edit.variation == 'S'};
int scale{isEN || isES ? 1 : edit.modes.scale}; // 'kP' value
int zeroesAfterPoint{0};
if (scale < 0) {
zeroesAfterPoint = -scale;
significantDigits = std::max(0, significantDigits - zeroesAfterPoint);
} else if (scale > 0) {
++significantDigits;
scale = std::min(scale, significantDigits + 1);
}
// In EN editing, multiple attempts may be necessary, so it's in a loop.
while (true) {
decimal::ConversionToDecimalResult converted{
Convert(significantDigits, edit, flags)};
if (converted.length > 0 && !IsDecimalNumber(converted.str)) { // Inf, NaN
return EmitField(io_, converted.str, converted.length, editWidth);
}
if (!IsZero()) {
converted.decimalExponent -= scale;
}
if (isEN && scale < 3 && (converted.decimalExponent % 3) != 0) {
// EN mode: boost the scale and significant digits, try again; need
// an effective exponent field that's a multiple of three.
++scale;
++significantDigits;
continue;
}
// Format the exponent (see table 13.1 for all the cases)
int expoLength{0};
const char *exponent{
FormatExponent(converted.decimalExponent, edit, expoLength)};
int signLength{*converted.str == '-' || *converted.str == '+' ? 1 : 0};
int convertedDigits{static_cast<int>(converted.length) - signLength};
int zeroesBeforePoint{std::max(0, scale - convertedDigits)};
int digitsBeforePoint{std::max(0, scale - zeroesBeforePoint)};
int digitsAfterPoint{convertedDigits - digitsBeforePoint};
int trailingZeroes{flags & decimal::Minimize
? 0
: std::max(0,
significantDigits - (convertedDigits + zeroesBeforePoint))};
int totalLength{signLength + digitsBeforePoint + zeroesBeforePoint +
1 /*'.'*/ + zeroesAfterPoint + digitsAfterPoint + trailingZeroes +
expoLength};
int width{editWidth > 0 ? editWidth : totalLength};
if (totalLength > width) {
return EmitRepeated(io_, '*', width);
}
if (totalLength < width && digitsBeforePoint == 0 &&
zeroesBeforePoint == 0) {
zeroesBeforePoint = 1;
++totalLength;
}
return EmitRepeated(io_, ' ', width - totalLength) &&
io_.Emit(converted.str, signLength + digitsBeforePoint) &&
EmitRepeated(io_, '0', zeroesBeforePoint) &&
io_.Emit(edit.modes.editingFlags & decimalComma ? "," : ".", 1) &&
EmitRepeated(io_, '0', zeroesAfterPoint) &&
io_.Emit(
converted.str + signLength + digitsBeforePoint, digitsAfterPoint) &&
EmitRepeated(io_, '0', trailingZeroes) &&
io_.Emit(exponent, expoLength);
}
}
// Formats the exponent (see table 13.1 for all the cases)
template<typename FLOAT, int decimalPrecision, int binaryPrecision,
std::size_t bufferSize>
const char *RealOutputEditing<FLOAT, decimalPrecision, binaryPrecision,
bufferSize>::FormatExponent(int expo, const DataEdit &edit, int &length) {
char *eEnd{&exponent_[sizeof exponent_]};
char *exponent{eEnd};
for (unsigned e{static_cast<unsigned>(std::abs(expo))}; e > 0;) {
unsigned quotient{common::DivideUnsignedBy<unsigned, 10>(e)};
*--exponent = '0' + e - 10 * quotient;
e = quotient;
}
if (edit.expoDigits) {
if (int ed{*edit.expoDigits}) { // Ew.dEe with e > 0
while (exponent > exponent_ + 2 /*E+*/ && exponent + ed > eEnd) {
*--exponent = '0';
}
} else if (exponent == eEnd) {
*--exponent = '0'; // Ew.dE0 with zero-valued exponent
}
} else { // ensure at least two exponent digits
while (exponent + 2 > eEnd) {
*--exponent = '0';
}
}
*--exponent = expo < 0 ? '-' : '+';
if (edit.expoDigits || exponent + 3 == eEnd) {
*--exponent = edit.descriptor == 'D' ? 'D' : 'E'; // not 'G'
}
length = eEnd - exponent;
return exponent;
}
// 13.7.2.3.2 in F'2018
template<typename FLOAT, int decimalPrecision, int binaryPrecision,
std::size_t bufferSize>
bool RealOutputEditing<FLOAT, decimalPrecision, binaryPrecision,
bufferSize>::EditFOutput(const DataEdit &edit) {
int fracDigits{edit.digits.value_or(0)}; // 'd' field
int extraDigits{0};
int editWidth{edit.width.value_or(0)}; // 'w' field
int flags{0};
if (editWidth == 0) { // "the processor selects the field width"
if (!edit.digits.has_value()) { // F0
flags |= decimal::Minimize;
fracDigits = bufferSize - 2; // sign & NUL
}
}
// Multiple conversions may be needed to get the right number of
// effective rounded fractional digits.
while (true) {
decimal::ConversionToDecimalResult converted{
Convert(extraDigits + fracDigits, edit, flags)};
if (converted.length > 0 && !IsDecimalNumber(converted.str)) { // Inf, NaN
return EmitField(io_, converted.str, converted.length, editWidth);
}
int scale{IsZero() ? -1 : edit.modes.scale};
int expo{converted.decimalExponent - scale};
if (expo > extraDigits) {
extraDigits = expo;
if (flags & decimal::Minimize) {
fracDigits = bufferSize - extraDigits - 2; // sign & NUL
}
continue; // try again
}
int signLength{*converted.str == '-' || *converted.str == '+' ? 1 : 0};
int convertedDigits{static_cast<int>(converted.length) - signLength};
int digitsBeforePoint{std::max(0, std::min(expo, convertedDigits))};
int zeroesBeforePoint{std::max(0, expo - digitsBeforePoint)};
int zeroesAfterPoint{std::max(0, -expo)};
int digitsAfterPoint{convertedDigits - digitsBeforePoint};
int trailingZeroes{flags & decimal::Minimize
? 0
: std::max(0, fracDigits - (zeroesAfterPoint + digitsAfterPoint))};
if (digitsBeforePoint + zeroesBeforePoint + zeroesAfterPoint +
digitsAfterPoint + trailingZeroes ==
0) {
++zeroesBeforePoint; // "." -> "0."
}
int totalLength{signLength + digitsBeforePoint + zeroesBeforePoint +
1 /*'.'*/ + zeroesAfterPoint + digitsAfterPoint + trailingZeroes};
int width{editWidth > 0 ? editWidth : totalLength};
if (totalLength > width) {
return EmitRepeated(io_, '*', width);
}
if (totalLength < width && digitsBeforePoint + zeroesBeforePoint == 0) {
zeroesBeforePoint = 1;
++totalLength;
}
return EmitRepeated(io_, ' ', width - totalLength) &&
io_.Emit(converted.str, signLength + digitsBeforePoint) &&
EmitRepeated(io_, '0', zeroesBeforePoint) &&
io_.Emit(edit.modes.editingFlags & decimalComma ? "," : ".", 1) &&
EmitRepeated(io_, '0', zeroesAfterPoint) &&
io_.Emit(
converted.str + signLength + digitsBeforePoint, digitsAfterPoint) &&
EmitRepeated(io_, '0', trailingZeroes) &&
EmitRepeated(io_, ' ', trailingBlanks_);
}
}
// 13.7.5.2.3 in F'2018
template<typename FLOAT, int decimalPrecision, int binaryPrecision,
std::size_t bufferSize>
DataEdit RealOutputEditing<FLOAT, decimalPrecision, binaryPrecision,
bufferSize>::EditForGOutput(DataEdit edit) {
edit.descriptor = 'E';
if (!edit.width.has_value() ||
(*edit.width > 0 && edit.digits.value_or(-1) == 0)) {
return edit; // Gw.0 -> Ew.0 for w > 0
}
decimal::ConversionToDecimalResult converted{Convert(1, edit)};
if (!IsDecimalNumber(converted.str)) { // Inf, NaN
return edit;
}
int expo{IsZero() ? 1 : converted.decimalExponent}; // 's'
int significantDigits{edit.digits.value_or(decimalPrecision)}; // 'd'
if (expo < 0 || expo > significantDigits) {
return edit; // Ew.d
}
edit.descriptor = 'F';
edit.modes.scale = 0; // kP is ignored for G when no exponent field
trailingBlanks_ = 0;
int editWidth{edit.width.value_or(0)};
if (editWidth > 0) {
int expoDigits{edit.expoDigits.value_or(0)};
trailingBlanks_ = expoDigits > 0 ? expoDigits + 2 : 4; // 'n'
*edit.width = std::max(0, editWidth - trailingBlanks_);
}
if (edit.digits.has_value()) {
*edit.digits = std::max(0, *edit.digits - expo);
}
return edit;
}
// 13.7.5.2.6 in F'2018
template<typename FLOAT, int decimalPrecision, int binaryPrecision,
std::size_t bufferSize>
bool RealOutputEditing<FLOAT, decimalPrecision, binaryPrecision,
bufferSize>::EditEXOutput(const DataEdit &) {
io_.Crash("EX output editing is not yet implemented"); // TODO
}
template<typename FLOAT, int decimalPrecision, int binaryPrecision,
std::size_t bufferSize>
bool RealOutputEditing<FLOAT, decimalPrecision, binaryPrecision,
bufferSize>::Edit(const DataEdit &edit) {
switch (edit.descriptor) {
case 'D': return EditEorDOutput(edit);
case 'E':
if (edit.variation == 'X') {
return EditEXOutput(edit);
} else {
return EditEorDOutput(edit);
}
case 'F': return EditFOutput(edit);
case 'B':
case 'O':
case 'Z':
return EditIntegerOutput(io_, edit, decimal::BinaryFloatingPointNumber<binaryPrecision>{x_}.raw);
case 'G': return Edit(EditForGOutput(edit));
default:
io_.Crash("Data edit descriptor '%c' may not be used with a REAL data item",
edit.descriptor);
return false;
}
return false;
}
}
#endif // FORTRAN_RUNTIME_NUMERIC_OUTPUT_H_
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