| ------------------------------------------------------------------------------ |
| -- -- |
| -- GNAT RUN-TIME COMPONENTS -- |
| -- -- |
| -- S Y S T E M . I M G _ D E C -- |
| -- -- |
| -- B o d y -- |
| -- -- |
| -- Copyright (C) 1992-2015, Free Software Foundation, Inc. -- |
| -- -- |
| -- GNAT is free software; you can redistribute it and/or modify it under -- |
| -- terms of the GNU General Public License as published by the Free Soft- -- |
| -- ware Foundation; either version 3, or (at your option) any later ver- -- |
| -- sion. GNAT is distributed in the hope that it will be useful, but WITH- -- |
| -- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY -- |
| -- or FITNESS FOR A PARTICULAR PURPOSE. -- |
| -- -- |
| -- As a special exception under Section 7 of GPL version 3, you are granted -- |
| -- additional permissions described in the GCC Runtime Library Exception, -- |
| -- version 3.1, as published by the Free Software Foundation. -- |
| -- -- |
| -- You should have received a copy of the GNU General Public License and -- |
| -- a copy of the GCC Runtime Library Exception along with this program; -- |
| -- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see -- |
| -- <http://www.gnu.org/licenses/>. -- |
| -- -- |
| -- GNAT was originally developed by the GNAT team at New York University. -- |
| -- Extensive contributions were provided by Ada Core Technologies Inc. -- |
| -- -- |
| ------------------------------------------------------------------------------ |
| |
| with System.Img_Int; use System.Img_Int; |
| |
| package body System.Img_Dec is |
| |
| ------------------- |
| -- Image_Decimal -- |
| ------------------- |
| |
| procedure Image_Decimal |
| (V : Integer; |
| S : in out String; |
| P : out Natural; |
| Scale : Integer) |
| is |
| pragma Assert (S'First = 1); |
| |
| begin |
| -- Add space at start for non-negative numbers |
| |
| if V >= 0 then |
| S (1) := ' '; |
| P := 1; |
| else |
| P := 0; |
| end if; |
| |
| Set_Image_Decimal (V, S, P, Scale, 1, Integer'Max (1, Scale), 0); |
| end Image_Decimal; |
| |
| ------------------------ |
| -- Set_Decimal_Digits -- |
| ------------------------ |
| |
| procedure Set_Decimal_Digits |
| (Digs : in out String; |
| NDigs : Natural; |
| S : out String; |
| P : in out Natural; |
| Scale : Integer; |
| Fore : Natural; |
| Aft : Natural; |
| Exp : Natural) |
| is |
| Minus : constant Boolean := (Digs (Digs'First) = '-'); |
| -- Set True if input is negative |
| |
| Zero : Boolean := (Digs (Digs'First + 1) = '0'); |
| -- Set True if input is exactly zero (only case when a leading zero |
| -- is permitted in the input string given to this procedure). This |
| -- flag can get set later if rounding causes the value to become zero. |
| |
| FD : Natural := 2; |
| -- First digit position of digits remaining to be processed |
| |
| LD : Natural := NDigs; |
| -- Last digit position of digits remaining to be processed |
| |
| ND : Natural := NDigs - 1; |
| -- Number of digits remaining to be processed (LD - FD + 1) |
| |
| Digits_Before_Point : Integer := ND - Scale; |
| -- Number of digits before decimal point in the input value. This |
| -- value can be negative if the input value is less than 0.1, so |
| -- it is an indication of the current exponent. Digits_Before_Point |
| -- is adjusted if the rounding step generates an extra digit. |
| |
| Digits_After_Point : constant Natural := Integer'Max (1, Aft); |
| -- Digit positions after decimal point in result string |
| |
| Expon : Integer; |
| -- Integer value of exponent |
| |
| procedure Round (N : Integer); |
| -- Round the number in Digs. N is the position of the last digit to be |
| -- retained in the rounded position (rounding is based on Digs (N + 1) |
| -- FD, LD, ND are reset as necessary if required. Note that if the |
| -- result value rounds up (e.g. 9.99 => 10.0), an extra digit can be |
| -- placed in the sign position as a result of the rounding, this is |
| -- the case in which FD is adjusted. The call to Round has no effect |
| -- if N is outside the range FD .. LD. |
| |
| procedure Set (C : Character); |
| pragma Inline (Set); |
| -- Sets character C in output buffer |
| |
| procedure Set_Blanks_And_Sign (N : Integer); |
| -- Sets leading blanks and minus sign if needed. N is the number of |
| -- positions to be filled (a minus sign is output even if N is zero |
| -- or negative, For a positive value, if N is non-positive, then |
| -- a leading blank is filled. |
| |
| procedure Set_Digits (S, E : Natural); |
| pragma Inline (Set_Digits); |
| -- Set digits S through E from Digs, no effect if S > E |
| |
| procedure Set_Zeroes (N : Integer); |
| pragma Inline (Set_Zeroes); |
| -- Set N zeroes, no effect if N is negative |
| |
| ----------- |
| -- Round -- |
| ----------- |
| |
| procedure Round (N : Integer) is |
| D : Character; |
| |
| begin |
| -- Nothing to do if rounding past the last digit we have |
| |
| if N >= LD then |
| return; |
| |
| -- Cases of rounding before the initial digit |
| |
| elsif N < FD then |
| |
| -- The result is zero, unless we are rounding just before |
| -- the first digit, and the first digit is five or more. |
| |
| if N = 1 and then Digs (Digs'First + 1) >= '5' then |
| Digs (Digs'First) := '1'; |
| else |
| Digs (Digs'First) := '0'; |
| Zero := True; |
| end if; |
| |
| Digits_Before_Point := Digits_Before_Point + 1; |
| FD := 1; |
| LD := 1; |
| ND := 1; |
| |
| -- Normal case of rounding an existing digit |
| |
| else |
| LD := N; |
| ND := LD - 1; |
| |
| if Digs (N + 1) >= '5' then |
| for J in reverse 2 .. N loop |
| D := Character'Succ (Digs (J)); |
| |
| if D <= '9' then |
| Digs (J) := D; |
| return; |
| else |
| Digs (J) := '0'; |
| end if; |
| end loop; |
| |
| -- Here the rounding overflows into the sign position. That's |
| -- OK, because we already captured the value of the sign and |
| -- we are in any case destroying the value in the Digs buffer |
| |
| Digs (Digs'First) := '1'; |
| FD := 1; |
| ND := ND + 1; |
| Digits_Before_Point := Digits_Before_Point + 1; |
| end if; |
| end if; |
| end Round; |
| |
| --------- |
| -- Set -- |
| --------- |
| |
| procedure Set (C : Character) is |
| begin |
| P := P + 1; |
| S (P) := C; |
| end Set; |
| |
| ------------------------- |
| -- Set_Blanks_And_Sign -- |
| ------------------------- |
| |
| procedure Set_Blanks_And_Sign (N : Integer) is |
| W : Integer := N; |
| |
| begin |
| if Minus then |
| W := W - 1; |
| |
| for J in 1 .. W loop |
| Set (' '); |
| end loop; |
| |
| Set ('-'); |
| |
| else |
| for J in 1 .. W loop |
| Set (' '); |
| end loop; |
| end if; |
| end Set_Blanks_And_Sign; |
| |
| ---------------- |
| -- Set_Digits -- |
| ---------------- |
| |
| procedure Set_Digits (S, E : Natural) is |
| begin |
| for J in S .. E loop |
| Set (Digs (J)); |
| end loop; |
| end Set_Digits; |
| |
| ---------------- |
| -- Set_Zeroes -- |
| ---------------- |
| |
| procedure Set_Zeroes (N : Integer) is |
| begin |
| for J in 1 .. N loop |
| Set ('0'); |
| end loop; |
| end Set_Zeroes; |
| |
| -- Start of processing for Set_Decimal_Digits |
| |
| begin |
| -- Case of exponent given |
| |
| if Exp > 0 then |
| Set_Blanks_And_Sign (Fore - 1); |
| Round (Digits_After_Point + 2); |
| Set (Digs (FD)); |
| FD := FD + 1; |
| ND := ND - 1; |
| Set ('.'); |
| |
| if ND >= Digits_After_Point then |
| Set_Digits (FD, FD + Digits_After_Point - 1); |
| else |
| Set_Digits (FD, LD); |
| Set_Zeroes (Digits_After_Point - ND); |
| end if; |
| |
| -- Calculate exponent. The number of digits before the decimal point |
| -- in the input is Digits_Before_Point, and the number of digits |
| -- before the decimal point in the output is 1, so we can get the |
| -- exponent as the difference between these two values. The one |
| -- exception is for the value zero, which by convention has an |
| -- exponent of +0. |
| |
| Expon := (if Zero then 0 else Digits_Before_Point - 1); |
| Set ('E'); |
| ND := 0; |
| |
| if Expon >= 0 then |
| Set ('+'); |
| Set_Image_Integer (Expon, Digs, ND); |
| else |
| Set ('-'); |
| Set_Image_Integer (-Expon, Digs, ND); |
| end if; |
| |
| Set_Zeroes (Exp - ND - 1); |
| Set_Digits (1, ND); |
| return; |
| |
| -- Case of no exponent given. To make these cases clear, we use |
| -- examples. For all the examples, we assume Fore = 2, Aft = 3. |
| -- A P in the example input string is an implied zero position, |
| -- not included in the input string. |
| |
| else |
| -- Round at correct position |
| -- Input: 4PP => unchanged |
| -- Input: 400.03 => unchanged |
| -- Input 3.4567 => 3.457 |
| -- Input: 9.9999 => 10.000 |
| -- Input: 0.PPP5 => 0.001 |
| -- Input: 0.PPP4 => 0 |
| -- Input: 0.00003 => 0 |
| |
| Round (LD - (Scale - Digits_After_Point)); |
| |
| -- No digits before point in input |
| -- Input: .123 Output: 0.123 |
| -- Input: .PP3 Output: 0.003 |
| |
| if Digits_Before_Point <= 0 then |
| Set_Blanks_And_Sign (Fore - 1); |
| Set ('0'); |
| Set ('.'); |
| |
| declare |
| DA : Natural := Digits_After_Point; |
| -- Digits remaining to output after point |
| |
| LZ : constant Integer := Integer'Min (DA, -Digits_Before_Point); |
| -- Number of leading zeroes after point. Note: there used to be |
| -- a Max of this result with zero, but that's redundant, since |
| -- we know DA is positive, and because of the test above, we |
| -- know that -Digits_Before_Point >= 0. |
| |
| begin |
| Set_Zeroes (LZ); |
| DA := DA - LZ; |
| |
| if DA < ND then |
| |
| -- Note: it is definitely possible for the above condition |
| -- to be True, for example: |
| |
| -- V => 1234, Scale => 5, Fore => 0, After => 1, Exp => 0 |
| |
| -- but in this case DA = 0, ND = 1, FD = 1, FD + DA-1 = 0 |
| -- so the arguments in the call are (1, 0) meaning that no |
| -- digits are output. |
| |
| -- No obvious example exists where the following call to |
| -- Set_Digits actually outputs some digits, but we lack a |
| -- proof that no such example exists. |
| |
| -- So it is safer to retain this call, even though as a |
| -- result it is hard (or perhaps impossible) to create a |
| -- coverage test for the inlined code of the call. |
| |
| Set_Digits (FD, FD + DA - 1); |
| |
| else |
| Set_Digits (FD, LD); |
| Set_Zeroes (DA - ND); |
| end if; |
| end; |
| |
| -- At least one digit before point in input |
| |
| else |
| -- Less digits in input than are needed before point |
| -- Input: 1PP Output: 100.000 |
| |
| if ND < Digits_Before_Point then |
| |
| -- Special case, if the input is the single digit 0, then we |
| -- do not want 000.000, but instead 0.000. |
| |
| if ND = 1 and then Digs (FD) = '0' then |
| Set_Blanks_And_Sign (Fore - 1); |
| Set ('0'); |
| |
| -- Normal case where we need to output scaling zeroes |
| |
| else |
| Set_Blanks_And_Sign (Fore - Digits_Before_Point); |
| Set_Digits (FD, LD); |
| Set_Zeroes (Digits_Before_Point - ND); |
| end if; |
| |
| -- Set period and zeroes after the period |
| |
| Set ('.'); |
| Set_Zeroes (Digits_After_Point); |
| |
| -- Input has full amount of digits before decimal point |
| |
| else |
| Set_Blanks_And_Sign (Fore - Digits_Before_Point); |
| Set_Digits (FD, FD + Digits_Before_Point - 1); |
| Set ('.'); |
| Set_Digits (FD + Digits_Before_Point, LD); |
| Set_Zeroes (Digits_After_Point - (ND - Digits_Before_Point)); |
| end if; |
| end if; |
| end if; |
| end Set_Decimal_Digits; |
| |
| ----------------------- |
| -- Set_Image_Decimal -- |
| ----------------------- |
| |
| procedure Set_Image_Decimal |
| (V : Integer; |
| S : in out String; |
| P : in out Natural; |
| Scale : Integer; |
| Fore : Natural; |
| Aft : Natural; |
| Exp : Natural) |
| is |
| Digs : String := Integer'Image (V); |
| -- Sign and digits of decimal value |
| |
| begin |
| Set_Decimal_Digits (Digs, Digs'Length, S, P, Scale, Fore, Aft, Exp); |
| end Set_Image_Decimal; |
| |
| end System.Img_Dec; |
