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doc/Calypso-TCH-downlink: document gsm[e]fr-dlcap-sync
| author | Mychaela Falconia <falcon@freecalypso.org> |
|---|---|
| date | Sat, 18 May 2024 00:13:26 +0000 |
| parents | 38326102fc43 |
| children |
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/*___________________________________________________________________________ | | | Basic arithmetic operators. | |___________________________________________________________________________| */ /*___________________________________________________________________________ | | | Include-Files | |___________________________________________________________________________| */ #include <stdint.h> #include "typedef.h" #include "namespace.h" #include "basic_op.h" #if (WMOPS) #include "count.h" extern BASIC_OP counter; #endif /*___________________________________________________________________________ | | | Functions | |___________________________________________________________________________| */ /*___________________________________________________________________________ | | | Function Name : saturate | | | | Purpose : | | | | Limit the 32 bit input to the range of a 16 bit word. | | | | Inputs : | | | | L_var1 | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var1 <= 0x7fff ffff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ static inline Word16 saturate (Word32 L_var1) { Word16 var_out; if (L_var1 > 0X00007fffL) { Overflow = 1; var_out = MAX_16; } else if (L_var1 < (Word32) 0xffff8000L) { Overflow = 1; var_out = MIN_16; } else { Overflow = 0; var_out = extract_l (L_var1); #if (WMOPS) counter.extract_l--; #endif } return (var_out); } /*___________________________________________________________________________ | | | Function Name : add | | | | Purpose : | | | | Performs the addition (var1+var2) with overflow control and saturation;| | the 16 bit result is set at +32767 when overflow occurs or at -32768 | | when underflow occurs. | | | | Complexity weight : 1 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 add (Word16 var1, Word16 var2) { Word16 var_out; Word32 L_sum; L_sum = (Word32) var1 + var2; var_out = saturate (L_sum); #if (WMOPS) counter.add++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : sub | | | | Purpose : | | | | Performs the subtraction (var1+var2) with overflow control and satu- | | ration; the 16 bit result is set at +32767 when overflow occurs or at | | -32768 when underflow occurs. | | | | Complexity weight : 1 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 sub (Word16 var1, Word16 var2) { Word16 var_out; Word32 L_diff; L_diff = (Word32) var1 - var2; var_out = saturate (L_diff); #if (WMOPS) counter.sub++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : abs_s | | | | Purpose : | | | | Absolute value of var1; abs_s(-32768) = 32767. | | | | Complexity weight : 1 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0x0000 0000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 abs_s (Word16 var1) { Word16 var_out; if (var1 == (Word16) 0X8000) { var_out = MAX_16; } else { if (var1 < 0) { var_out = -var1; } else { var_out = var1; } } #if (WMOPS) counter.abs_s++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : shl | | | | Purpose : | | | | Arithmetically shift the 16 bit input var1 left var2 positions.Zero fill| | the var2 LSB of the result. If var2 is negative, arithmetically shift | | var1 right by -var2 with sign extension. Saturate the result in case of | | underflows or overflows. | | | | Complexity weight : 1 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 shl (Word16 var1, Word16 var2) { Word16 var_out; Word32 result; if (var2 < 0) { var_out = shr (var1, -var2); #if (WMOPS) counter.shr--; #endif } else { result = (Word32) var1 *((Word32) 1 << var2); if ((var2 > 15 && var1 != 0) || (result != (Word32) ((Word16) result))) { Overflow = 1; var_out = (var1 > 0) ? MAX_16 : MIN_16; } else { var_out = extract_l (result); #if (WMOPS) counter.extract_l--; #endif } } #if (WMOPS) counter.shl++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : shr | | | | Purpose : | | | | Arithmetically shift the 16 bit input var1 right var2 positions with | | sign extension. If var2 is negative, arithmetically shift var1 left by | | -var2 with sign extension. Saturate the result in case of underflows or | | overflows. | | | | Complexity weight : 1 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 shr (Word16 var1, Word16 var2) { Word16 var_out; if (var2 < 0) { var_out = shl (var1, -var2); #if (WMOPS) counter.shl--; #endif } else { if (var2 >= 15) { var_out = (var1 < 0) ? -1 : 0; } else { if (var1 < 0) { var_out = ~((~var1) >> var2); } else { var_out = var1 >> var2; } } } #if (WMOPS) counter.shr++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : mult | | | | Purpose : | | | | Performs the multiplication of var1 by var2 and gives a 16 bit result | | which is scaled i.e.: | | mult(var1,var2) = extract_l(L_shr((var1 times var2),15)) and | | mult(-32768,-32768) = 32767. | | | | Complexity weight : 1 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 mult (Word16 var1, Word16 var2) { Word16 var_out; Word32 L_product; L_product = (Word32) var1 *(Word32) var2; L_product = (L_product & (Word32) 0xffff8000L) >> 15; if (L_product & (Word32) 0x00010000L) L_product = L_product | (Word32) 0xffff0000L; var_out = saturate (L_product); #if (WMOPS) counter.mult++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : L_mult | | | | Purpose : | | | | L_mult is the 32 bit result of the multiplication of var1 times var2 | | with one shift left i.e.: | | L_mult(var1,var2) = L_shl((var1 times var2),1) and | | L_mult(-32768,-32768) = 2147483647. | | | | Complexity weight : 1 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var_out <= 0x7fff ffff. | |___________________________________________________________________________| */ Word32 L_mult (Word16 var1, Word16 var2) { Word32 L_var_out; L_var_out = (Word32) var1 *(Word32) var2; if (L_var_out != (Word32) 0x40000000L) { L_var_out *= 2; } else { Overflow = 1; L_var_out = MAX_32; } #if (WMOPS) counter.L_mult++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : negate | | | | Purpose : | | | | Negate var1 with saturation, saturate in the case where input is -32768:| | negate(var1) = sub(0,var1). | | | | Complexity weight : 1 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 negate (Word16 var1) { Word16 var_out; var_out = (var1 == MIN_16) ? MAX_16 : -var1; #if (WMOPS) counter.negate++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : extract_h | | | | Purpose : | | | | Return the 16 MSB of L_var1. | | | | Complexity weight : 1 | | | | Inputs : | | | | L_var1 | | 32 bit long signed integer (Word32 ) whose value falls in the | | range : 0x8000 0000 <= L_var1 <= 0x7fff ffff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 extract_h (Word32 L_var1) { Word16 var_out; var_out = (Word16) (L_var1 >> 16); #if (WMOPS) counter.extract_h++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : extract_l | | | | Purpose : | | | | Return the 16 LSB of L_var1. | | | | Complexity weight : 1 | | | | Inputs : | | | | L_var1 | | 32 bit long signed integer (Word32 ) whose value falls in the | | range : 0x8000 0000 <= L_var1 <= 0x7fff ffff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 extract_l (Word32 L_var1) { Word16 var_out; var_out = (Word16) L_var1; #if (WMOPS) counter.extract_l++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : round | | | | Purpose : | | | | Round the lower 16 bits of the 32 bit input number into the MS 16 bits | | with saturation. Shift the resulting bits right by 16 and return the 16 | | bit number: | | round(L_var1) = extract_h(L_add(L_var1,32768)) | | | | Complexity weight : 1 | | | | Inputs : | | | | L_var1 | | 32 bit long signed integer (Word32 ) whose value falls in the | | range : 0x8000 0000 <= L_var1 <= 0x7fff ffff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 round (Word32 L_var1) { Word16 var_out; Word32 L_rounded; L_rounded = L_add (L_var1, (Word32) 0x00008000L); #if (WMOPS) counter.L_add--; #endif var_out = extract_h (L_rounded); #if (WMOPS) counter.extract_h--; counter.round++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : L_mac | | | | Purpose : | | | | Multiply var1 by var2 and shift the result left by 1. Add the 32 bit | | result to L_var3 with saturation, return a 32 bit result: | | L_mac(L_var3,var1,var2) = L_add(L_var3,L_mult(var1,var2)). | | | | Complexity weight : 1 | | | | Inputs : | | | | L_var3 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var_out <= 0x7fff ffff. | |___________________________________________________________________________| */ Word32 L_mac (Word32 L_var3, Word16 var1, Word16 var2) { Word32 L_var_out; Word32 L_product; L_product = L_mult (var1, var2); #if (WMOPS) counter.L_mult--; #endif L_var_out = L_add (L_var3, L_product); #if (WMOPS) counter.L_add--; counter.L_mac++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_msu | | | | Purpose : | | | | Multiply var1 by var2 and shift the result left by 1. Subtract the 32 | | bit result to L_var3 with saturation, return a 32 bit result: | | L_msu(L_var3,var1,var2) = L_sub(L_var3,L_mult(var1,var2)). | | | | Complexity weight : 1 | | | | Inputs : | | | | L_var3 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var_out <= 0x7fff ffff. | |___________________________________________________________________________| */ Word32 L_msu (Word32 L_var3, Word16 var1, Word16 var2) { Word32 L_var_out; Word32 L_product; L_product = L_mult (var1, var2); #if (WMOPS) counter.L_mult--; #endif L_var_out = L_sub (L_var3, L_product); #if (WMOPS) counter.L_sub--; counter.L_msu++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_macNs | | | | Purpose : | | | | Multiply var1 by var2 and shift the result left by 1. Add the 32 bit | | result to L_var3 without saturation, return a 32 bit result. Generate | | carry and overflow values : | | L_macNs(L_var3,var1,var2) = L_add_c(L_var3,L_mult(var1,var2)). | | | | Complexity weight : 1 | | | | Inputs : | | | | L_var3 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var_out <= 0x7fff ffff. | | | | Caution : | | | | In some cases the Carry flag has to be cleared or set before using | | operators which take into account its value. | |___________________________________________________________________________| */ Word32 L_macNs (Word32 L_var3, Word16 var1, Word16 var2) { Word32 L_var_out; L_var_out = L_mult (var1, var2); #if (WMOPS) counter.L_mult--; #endif L_var_out = L_add_c (L_var3, L_var_out); #if (WMOPS) counter.L_add_c--; counter.L_macNs++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_msuNs | | | | Purpose : | | | | Multiply var1 by var2 and shift the result left by 1. Subtract the 32 | | bit result from L_var3 without saturation, return a 32 bit result. Ge- | | nerate carry and overflow values : | | L_msuNs(L_var3,var1,var2) = L_sub_c(L_var3,L_mult(var1,var2)). | | | | Complexity weight : 1 | | | | Inputs : | | | | L_var3 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var_out <= 0x7fff ffff. | | | | Caution : | | | | In some cases the Carry flag has to be cleared or set before using | | operators which take into account its value. | |___________________________________________________________________________| */ Word32 L_msuNs (Word32 L_var3, Word16 var1, Word16 var2) { Word32 L_var_out; L_var_out = L_mult (var1, var2); #if (WMOPS) counter.L_mult--; #endif L_var_out = L_sub_c (L_var3, L_var_out); #if (WMOPS) counter.L_sub_c--; counter.L_msuNs++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_add | | | | Purpose : | | | | 32 bits addition of the two 32 bits variables (L_var1+L_var2) with | | overflow control and saturation; the result is set at +2147483647 when | | overflow occurs or at -2147483648 when underflow occurs. | | | | Complexity weight : 2 | | | | Inputs : | | | | L_var1 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | L_var2 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var_out <= 0x7fff ffff. | |___________________________________________________________________________| */ Word32 L_add (Word32 L_var1, Word32 L_var2) { Word32 L_var_out; L_var_out = L_var1 + L_var2; if (((L_var1 ^ L_var2) & MIN_32) == 0) { if ((L_var_out ^ L_var1) & MIN_32) { L_var_out = (L_var1 < 0) ? MIN_32 : MAX_32; Overflow = 1; } } #if (WMOPS) counter.L_add++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_sub | | | | Purpose : | | | | 32 bits subtraction of the two 32 bits variables (L_var1-L_var2) with | | overflow control and saturation; the result is set at +2147483647 when | | overflow occurs or at -2147483648 when underflow occurs. | | | | Complexity weight : 2 | | | | Inputs : | | | | L_var1 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | L_var2 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var_out <= 0x7fff ffff. | |___________________________________________________________________________| */ Word32 L_sub (Word32 L_var1, Word32 L_var2) { Word32 L_var_out; L_var_out = L_var1 - L_var2; if (((L_var1 ^ L_var2) & MIN_32) != 0) { if ((L_var_out ^ L_var1) & MIN_32) { L_var_out = (L_var1 < 0L) ? MIN_32 : MAX_32; Overflow = 1; } } #if (WMOPS) counter.L_sub++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_add_c | | | | Purpose : | | | | Performs 32 bits addition of the two 32 bits variables (L_var1+L_var2+C)| | with carry. No saturation. Generate carry and Overflow values. The car- | | ry and overflow values are binary variables which can be tested and as- | | signed values. | | | | Complexity weight : 2 | | | | Inputs : | | | | L_var1 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | L_var2 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var_out <= 0x7fff ffff. | | | | Caution : | | | | In some cases the Carry flag has to be cleared or set before using | | operators which take into account its value. | |___________________________________________________________________________| */ Word32 L_add_c (Word32 L_var1, Word32 L_var2) { Word32 L_var_out; Word32 L_test; Flag carry_int = 0; L_var_out = L_var1 + L_var2 + Carry; L_test = L_var1 + L_var2; if ((L_var1 > 0) && (L_var2 > 0) && (L_test < 0)) { Overflow = 1; carry_int = 0; } else { if ((L_var1 < 0) && (L_var2 < 0)) { if (L_test >= 0) { Overflow = 1; carry_int = 1; } else { Overflow = 0; carry_int = 1; } } else { if (((L_var1 ^ L_var2) < 0) && (L_test >= 0)) { Overflow = 0; carry_int = 1; } else { Overflow = 0; carry_int = 0; } } } if (Carry) { if (L_test == MAX_32) { Overflow = 1; Carry = carry_int; } else { if (L_test == (Word32) 0xFFFFFFFFL) { Carry = 1; } else { Carry = carry_int; } } } else { Carry = carry_int; } #if (WMOPS) counter.L_add_c++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_sub_c | | | | Purpose : | | | | Performs 32 bits subtraction of the two 32 bits variables with carry | | (borrow) : L_var1-L_var2-C. No saturation. Generate carry and Overflow | | values. The carry and overflow values are binary variables which can | | be tested and assigned values. | | | | Complexity weight : 2 | | | | Inputs : | | | | L_var1 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | L_var2 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var_out <= 0x7fff ffff. | | | | Caution : | | | | In some cases the Carry flag has to be cleared or set before using | | operators which take into account its value. | |___________________________________________________________________________| */ Word32 L_sub_c (Word32 L_var1, Word32 L_var2) { Word32 L_var_out; Word32 L_test; Flag carry_int = 0; if (Carry) { Carry = 0; if (L_var2 != MIN_32) { L_var_out = L_add_c (L_var1, -L_var2); #if (WMOPS) counter.L_add_c--; #endif } else { L_var_out = L_var1 - L_var2; if (L_var1 > 0L) { Overflow = 1; Carry = 0; } } } else { L_var_out = L_var1 - L_var2 - (Word32) 0X00000001L; L_test = L_var1 - L_var2; if ((L_test < 0) && (L_var1 > 0) && (L_var2 < 0)) { Overflow = 1; carry_int = 0; } else if ((L_test > 0) && (L_var1 < 0) && (L_var2 > 0)) { Overflow = 1; carry_int = 1; } else if ((L_test > 0) && ((L_var1 ^ L_var2) > 0)) { Overflow = 0; carry_int = 1; } if (L_test == MIN_32) { Overflow = 1; Carry = carry_int; } else { Carry = carry_int; } } #if (WMOPS) counter.L_sub_c++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_negate | | | | Purpose : | | | | Negate the 32 bit variable L_var1 with saturation; saturate in the case | | where input is -2147483648 (0x8000 0000). | | | | Complexity weight : 2 | | | | Inputs : | | | | L_var1 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var_out <= 0x7fff ffff. | |___________________________________________________________________________| */ Word32 L_negate (Word32 L_var1) { Word32 L_var_out; L_var_out = (L_var1 == MIN_32) ? MAX_32 : -L_var1; #if (WMOPS) counter.L_negate++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : mult_r | | | | Purpose : | | | | Same as mult with rounding, i.e.: | | mult_r(var1,var2) = extract_l(L_shr(((var1 * var2) + 16384),15)) and | | mult_r(-32768,-32768) = 32767. | | | | Complexity weight : 2 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 mult_r (Word16 var1, Word16 var2) { Word16 var_out; Word32 L_product_arr; L_product_arr = (Word32) var1 *(Word32) var2; /* product */ L_product_arr += (Word32) 0x00004000L; /* round */ L_product_arr &= (Word32) 0xffff8000L; L_product_arr >>= 15; /* shift */ if (L_product_arr & (Word32) 0x00010000L) /* sign extend when necessary */ { L_product_arr |= (Word32) 0xffff0000L; } var_out = saturate (L_product_arr); #if (WMOPS) counter.mult_r++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : L_shl | | | | Purpose : | | | | Arithmetically shift the 32 bit input L_var1 left var2 positions. Zero | | fill the var2 LSB of the result. If var2 is negative, arithmetically | | shift L_var1 right by -var2 with sign extension. Saturate the result in | | case of underflows or overflows. | | | | Complexity weight : 2 | | | | Inputs : | | | | L_var1 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var_out <= 0x7fff ffff. | |___________________________________________________________________________| */ Word32 L_shl (Word32 L_var1, Word16 var2) { Word32 L_var_out; if (var2 <= 0) { L_var_out = L_shr (L_var1, -var2); #if (WMOPS) counter.L_shr--; #endif } else { for (; var2 > 0; var2--) { if (L_var1 > (Word32) 0X3fffffffL) { Overflow = 1; L_var_out = MAX_32; break; } else { if (L_var1 < (Word32) 0xc0000000L) { Overflow = 1; L_var_out = MIN_32; break; } } L_var1 *= 2; L_var_out = L_var1; } } #if (WMOPS) counter.L_shl++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_shr | | | | Purpose : | | | | Arithmetically shift the 32 bit input L_var1 right var2 positions with | | sign extension. If var2 is negative, arithmetically shift L_var1 left | | by -var2 and zero fill the -var2 LSB of the result. Saturate the result | | in case of underflows or overflows. | | | | Complexity weight : 2 | | | | Inputs : | | | | L_var1 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var_out <= 0x7fff ffff. | |___________________________________________________________________________| */ Word32 L_shr (Word32 L_var1, Word16 var2) { Word32 L_var_out; if (var2 < 0) { L_var_out = L_shl (L_var1, -var2); #if (WMOPS) counter.L_shl--; #endif } else { if (var2 >= 31) { L_var_out = (L_var1 < 0L) ? -1 : 0; } else { if (L_var1 < 0) { L_var_out = ~((~L_var1) >> var2); } else { L_var_out = L_var1 >> var2; } } } #if (WMOPS) counter.L_shr++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : shr_r | | | | Purpose : | | | | Same as shr(var1,var2) but with rounding. Saturate the result in case of| | underflows or overflows : | | - If var2 is greater than zero : | | if (sub(shl(shr(var1,var2),1),shr(var1,sub(var2,1)))) | | is equal to zero | | then | | shr_r(var1,var2) = shr(var1,var2) | | else | | shr_r(var1,var2) = add(shr(var1,var2),1) | | - If var2 is less than or equal to zero : | | shr_r(var1,var2) = shr(var1,var2). | | | | Complexity weight : 2 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 shr_r (Word16 var1, Word16 var2) { Word16 var_out; if (var2 > 15) { var_out = 0; } else { var_out = shr (var1, var2); #if (WMOPS) counter.shr--; #endif if (var2 > 0) { if ((var1 & ((Word16) 1 << (var2 - 1))) != 0) { var_out++; } } } #if (WMOPS) counter.shr_r++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : mac_r | | | | Purpose : | | | | Multiply var1 by var2 and shift the result left by 1. Add the 32 bit | | result to L_var3 with saturation. Round the LS 16 bits of the result | | into the MS 16 bits with saturation and shift the result right by 16. | | Return a 16 bit result. | | mac_r(L_var3,var1,var2) = round(L_mac(L_var3,var1,var2)) | | | | Complexity weight : 2 | | | | Inputs : | | | | L_var3 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0x0000 8000 <= L_var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 mac_r (Word32 L_var3, Word16 var1, Word16 var2) { Word16 var_out; L_var3 = L_mac (L_var3, var1, var2); #if (WMOPS) counter.L_mac--; #endif L_var3 = L_add (L_var3, (Word32) 0x00008000L); #if (WMOPS) counter.L_add--; #endif var_out = extract_h (L_var3); #if (WMOPS) counter.extract_h--; counter.mac_r++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : msu_r | | | | Purpose : | | | | Multiply var1 by var2 and shift the result left by 1. Subtract the 32 | | bit result to L_var3 with saturation. Round the LS 16 bits of the res- | | ult into the MS 16 bits with saturation and shift the result right by | | 16. Return a 16 bit result. | | msu_r(L_var3,var1,var2) = round(L_msu(L_var3,var1,var2)) | | | | Complexity weight : 2 | | | | Inputs : | | | | L_var3 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= L_var3 <= 0x7fff ffff. | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0x0000 8000 <= L_var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word16 msu_r (Word32 L_var3, Word16 var1, Word16 var2) { Word16 var_out; L_var3 = L_msu (L_var3, var1, var2); #if (WMOPS) counter.L_msu--; #endif L_var3 = L_add (L_var3, (Word32) 0x00008000L); #if (WMOPS) counter.L_add--; #endif var_out = extract_h (L_var3); #if (WMOPS) counter.extract_h--; counter.msu_r++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : L_deposit_h | | | | Purpose : | | | | Deposit the 16 bit var1 into the 16 MS bits of the 32 bit output. The | | 16 LS bits of the output are zeroed. | | | | Complexity weight : 2 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= var_out <= 0x7fff 0000. | |___________________________________________________________________________| */ Word32 L_deposit_h (Word16 var1) { Word32 L_var_out; L_var_out = (Word32) var1 << 16; #if (WMOPS) counter.L_deposit_h++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_deposit_l | | | | Purpose : | | | | Deposit the 16 bit var1 into the 16 LS bits of the 32 bit output. The | | 16 MS bits of the output are sign extended. | | | | Complexity weight : 2 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0xFFFF 8000 <= var_out <= 0x0000 7fff. | |___________________________________________________________________________| */ Word32 L_deposit_l (Word16 var1) { Word32 L_var_out; L_var_out = (Word32) var1; #if (WMOPS) counter.L_deposit_l++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_shr_r | | | | Purpose : | | | | Same as L_shr(L_var1,var2) but with rounding. Saturate the result in | | case of underflows or overflows : | | - If var2 is greater than zero : | | if (L_sub(L_shl(L_shr(L_var1,var2),1),L_shr(L_var1,sub(var2,1))))| | is equal to zero | | then | | L_shr_r(L_var1,var2) = L_shr(L_var1,var2) | | else | | L_shr_r(L_var1,var2) = L_add(L_shr(L_var1,var2),1) | | - If var2 is less than or equal to zero : | | L_shr_r(L_var1,var2) = L_shr(L_var1,var2). | | | | Complexity weight : 3 | | | | Inputs : | | | | L_var1 | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= var1 <= 0x7fff ffff. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= var_out <= 0x7fff ffff. | |___________________________________________________________________________| */ Word32 L_shr_r (Word32 L_var1, Word16 var2) { Word32 L_var_out; if (var2 > 31) { L_var_out = 0; } else { L_var_out = L_shr (L_var1, var2); #if (WMOPS) counter.L_shr--; #endif if (var2 > 0) { if ((L_var1 & ((Word32) 1 << (var2 - 1))) != 0) { L_var_out++; } } } #if (WMOPS) counter.L_shr_r++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_abs | | | | Purpose : | | | | Absolute value of L_var1; Saturate in case where the input is | | -214783648 | | | | Complexity weight : 3 | | | | Inputs : | | | | L_var1 | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= var1 <= 0x7fff ffff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x0000 0000 <= var_out <= 0x7fff ffff. | |___________________________________________________________________________| */ Word32 L_abs (Word32 L_var1) { Word32 L_var_out; if (L_var1 == MIN_32) { L_var_out = MAX_32; } else { if (L_var1 < 0) { L_var_out = -L_var1; } else { L_var_out = L_var1; } } #if (WMOPS) counter.L_abs++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : L_sat | | | | Purpose : | | | | 32 bit L_var1 is set to 2147483647 if an overflow occured or to | | -2147483648 if an underflow occured on the most recent L_add_c, | | L_sub_c, L_macNs or L_msuNs operations. The carry and overflow values | | are binary values which can be tested and assigned values. | | | | Complexity weight : 4 | | | | Inputs : | | | | L_var1 | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= var1 <= 0x7fff ffff. | | | | Outputs : | | | | none | | | | Return Value : | | | | L_var_out | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= var_out <= 0x7fff ffff. | |___________________________________________________________________________| */ Word32 L_sat (Word32 L_var1) { Word32 L_var_out; L_var_out = L_var1; if (Overflow) { if (Carry) { L_var_out = MIN_32; } else { L_var_out = MAX_32; } Carry = 0; Overflow = 0; } #if (WMOPS) counter.L_sat++; #endif return (L_var_out); } /*___________________________________________________________________________ | | | Function Name : norm_s | | | | Purpose : | | | | Produces the number of left shift needed to normalize the 16 bit varia- | | ble var1 for positive values on the interval with minimum of 16384 and | | maximum of 32767, and for negative values on the interval with minimum | | of -32768 and maximum of -16384; in order to normalize the result, the | | following operation must be done : | | norm_var1 = shl(var1,norm_s(var1)). | | | | Complexity weight : 15 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0xffff 8000 <= var1 <= 0x0000 7fff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0x0000 0000 <= var_out <= 0x0000 000f. | |___________________________________________________________________________| */ Word16 norm_s (Word16 var1) { Word16 var_out; if (var1 == 0) { var_out = 0; } else { if (var1 == (Word16) 0xffff) { var_out = 15; } else { if (var1 < 0) { var1 = ~var1; } for (var_out = 0; var1 < 0x4000; var_out++) { var1 <<= 1; } } } #if (WMOPS) counter.norm_s++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : div_s | | | | Purpose : | | | | Produces a result which is the fractional integer division of var1 by | | var2; var1 and var2 must be positive and var2 must be greater or equal | | to var1; the result is positive (leading bit equal to 0) and truncated | | to 16 bits. | | If var1 = var2 then div(var1,var2) = 32767. | | | | Complexity weight : 18 | | | | Inputs : | | | | var1 | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0x0000 0000 <= var1 <= var2 and var2 != 0. | | | | var2 | | 16 bit short signed integer (Word16) whose value falls in the | | range : var1 <= var2 <= 0x0000 7fff and var2 != 0. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0x0000 0000 <= var_out <= 0x0000 7fff. | | It's a Q15 value (point between b15 and b14). | |___________________________________________________________________________| */ Word16 div_s (Word16 var1, Word16 var2) { Word16 var_out = 0; Word16 iteration; Word32 L_num; Word32 L_denom; #if 0 if ((var1 > var2) || (var1 < 0) || (var2 < 0)) { printf ("Division Error var1=%d var2=%d\n", var1, var2); exit (0); } if (var2 == 0) { printf ("Division by 0, Fatal error \n"); exit (0); } #endif if (var1 == 0) { var_out = 0; } else { if (var1 == var2) { var_out = MAX_16; } else { L_num = L_deposit_l (var1); #if (WMOPS) counter.L_deposit_l--; #endif L_denom = L_deposit_l (var2); #if (WMOPS) counter.L_deposit_l--; #endif for (iteration = 0; iteration < 15; iteration++) { var_out <<= 1; L_num <<= 1; if (L_num >= L_denom) { L_num = L_sub (L_num, L_denom); #if (WMOPS) counter.L_sub--; #endif var_out = add (var_out, 1); #if (WMOPS) counter.add--; #endif } } } } #if (WMOPS) counter.div_s++; #endif return (var_out); } /*___________________________________________________________________________ | | | Function Name : norm_l | | | | Purpose : | | | | Produces the number of left shifts needed to normalize the 32 bit varia-| | ble L_var1 for positive values on the interval with minimum of | | 1073741824 and maximum of 2147483647, and for negative values on the in-| | terval with minimum of -2147483648 and maximum of -1073741824; in order | | to normalize the result, the following operation must be done : | | norm_L_var1 = L_shl(L_var1,norm_l(L_var1)). | | | | Complexity weight : 30 | | | | Inputs : | | | | L_var1 | | 32 bit long signed integer (Word32) whose value falls in the | | range : 0x8000 0000 <= var1 <= 0x7fff ffff. | | | | Outputs : | | | | none | | | | Return Value : | | | | var_out | | 16 bit short signed integer (Word16) whose value falls in the | | range : 0x0000 0000 <= var_out <= 0x0000 001f. | |___________________________________________________________________________| */ Word16 norm_l (Word32 L_var1) { Word16 var_out; if (L_var1 == 0) { var_out = 0; } else { if (L_var1 == (Word32) 0xffffffffL) { var_out = 31; } else { if (L_var1 < 0) { L_var1 = ~L_var1; } for (var_out = 0; L_var1 < (Word32) 0x40000000L; var_out++) { L_var1 <<= 1; } } } #if (WMOPS) counter.norm_l++; #endif return (var_out); }