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(Created page with "'''QB64''' uses C++ to compile a BAS program into an executable program. The following is a list of the '''C FUNCTIONs''' that can be used. '''Note: C++ Header files should be placed in the QB64 folder and are not required after a program is compiled.''' {| align="Right" | __TOC__ |} {{WhiteStart}} '''C++ Variable Types''' '''C Name Description Size QB64 Type''' char Character o...") |
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'''QB64''' uses C++ to compile a BAS program into an executable program. The following is a list of the '''C [[FUNCTION]]s''' that can be used. | '''QB64''' uses C++ to compile a BAS program into an executable program. The following is a list of the '''C [[FUNCTION]]s''' that can be used. | ||
'''Note: C++ Header files should be placed in the QB64 folder and are not required after a program is compiled.''' | '''Note: C++ Header files should be placed in the QB64 folder and are not required after a program is compiled.''' | ||
{| align=" | {| align="right" style="max-width:25%;" | ||
| __TOC__ | |||
|} | |||
{{ | {{FixedStart}} '''C++ Variable Types''' | ||
'''C Name Description Size QB64 Type''' | '''C Name Description Size QB64 Type''' | ||
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[[LONG|int]] Integer(Dword) 4 byte [[LONG]] | [[LONG|int]] Integer(Dword) 4 byte [[LONG]] | ||
[[LONG|long int]] Int32, Long integer or Long 4 byte [[LONG]] | [[LONG|long int]] Int32, Long integer or Long 4 byte [[LONG]] | ||
[[_INTEGER64|long long]] Long long (Qword) 8 byte [[_INTEGER64]] | [[_INTEGER64|long long]] Long long (Qword) 8 byte [[_INTEGER64]] | ||
[[Boolean|bool]] Boolean value true or false. 1 byte [[_BYTE]] | [[Boolean|bool]] Boolean value true or false. 1 byte [[_BYTE]] | ||
[[SINGLE|float]] Floating point number 4 byte [[SINGLE]] | [[SINGLE|float]] Floating point number 4 byte [[SINGLE]] | ||
[[DOUBLE|double]] Double precision floating. 8 byte [[DOUBLE]] | [[DOUBLE|double]] Double precision floating. 8 byte [[DOUBLE]] | ||
[[_FLOAT|long double]] Long double precision float 10 byte [[_FLOAT]] | [[_FLOAT|long double]] Long double precision float 10 byte [[_FLOAT]] | ||
[[Unicode|wchar_t]] Wide character([[Unicode]]) 2 or 4 | [[Unicode|wchar_t]] Wide character([[Unicode]]) 2 or 4 | ||
[[_OFFSET|PVOID]] void pointer(void *) ANY [[_OFFSET]] | [[_OFFSET|PVOID]] void pointer(void *) ANY [[_OFFSET]] | ||
{{ | {{FixedEnd}} | ||
== C Functions and Subs == | |||
{{TextStart}} | |||
{{Cb|DECLARE LIBRARY}} | |||
{{TextStart}} | |||
{{Cb|DECLARE LIBRARY}} | |||
''''ctime.h''' | ''''ctime.h''' | ||
{{Cb|FUNCTION}} clock () 'arithmetic type elapsed processor representing time. | {{Cb|FUNCTION}} clock () 'arithmetic type elapsed processor representing time. | ||
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{{Cb|FUNCTION}} isprint% ({{Cb|BYVAL}} c {{Cb|AS}} {{Cb|INTEGER}}) 'is printing character. ASCII: {{Cb|&H}}20 (" ") to {{Cb|&H}}7E (~) | {{Cb|FUNCTION}} isprint% ({{Cb|BYVAL}} c {{Cb|AS}} {{Cb|INTEGER}}) 'is printing character. ASCII: {{Cb|&H}}20 (" ") to {{Cb|&H}}7E (~) | ||
{{Cb|FUNCTION}} ispunct% ({{Cb|BYVAL}} c {{Cb|AS}} {{Cb|INTEGER}}) 'is printing character other than space, letter, digit | {{Cb|FUNCTION}} ispunct% ({{Cb|BYVAL}} c {{Cb|AS}} {{Cb|INTEGER}}) 'is printing character other than space, letter, digit | ||
{{Cb|FUNCTION}} isspace% ({{Cb|BYVAL}} c {{Cb|AS}} {{Cb|INTEGER}}) 'is space, formfeed, newline, return, tab, vertical tab | {{Cb|FUNCTION}} isspace% ({{Cb|BYVAL}} c {{Cb|AS}} {{Cb|INTEGER}}) 'is space, formfeed, newline, return, tab, vertical tab | ||
{{Cb|FUNCTION}} isupper% ({{Cb|BYVAL}} c {{Cb|AS}} {{Cb|INTEGER}}) 'is upper-case letter | {{Cb|FUNCTION}} isupper% ({{Cb|BYVAL}} c {{Cb|AS}} {{Cb|INTEGER}}) 'is upper-case letter | ||
{{Cb|FUNCTION}} isxdigit% ({{Cb|BYVAL}} c {{Cb|AS}} {{Cb|INTEGER}})'is a hexdecimal digit character(0 thru 9 or A thru F) | {{Cb|FUNCTION}} isxdigit% ({{Cb|BYVAL}} c {{Cb|AS}} {{Cb|INTEGER}})'is a hexdecimal digit character(0 thru 9 or A thru F) | ||
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{{Cb|FUNCTION}} toupper% ({{Cb|BYVAL}} c {{Cb|AS}} {{Cb|INTEGER}}) 'return upper-case equivalent | {{Cb|FUNCTION}} toupper% ({{Cb|BYVAL}} c {{Cb|AS}} {{Cb|INTEGER}}) 'return upper-case equivalent | ||
''''math.h''' | ''''math.h''' | ||
{{Cb|FUNCTION}} acos# ({{Cb|BYVAL}} x {{Cb|AS}} {{Cb|DOUBLE}}) | {{Cb|FUNCTION}} acos# ({{Cb|BYVAL}} x {{Cb|AS}} {{Cb|DOUBLE}}) | ||
{{Cb|FUNCTION}} asin# ({{Cb|BYVAL}} x {{Cb|AS}} {{Cb|DOUBLE}}) | {{Cb|FUNCTION}} asin# ({{Cb|BYVAL}} x {{Cb|AS}} {{Cb|DOUBLE}}) | ||
{{Cb|FUNCTION}} atan# ({{Cb|BYVAL}} x {{Cb|AS}} {{Cb|DOUBLE}}) 'arc tangent of x does not designate the quadrant | {{Cb|FUNCTION}} atan# ({{Cb|BYVAL}} x {{Cb|AS}} {{Cb|DOUBLE}}) 'arc tangent of x does not designate the quadrant | ||
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''''stdio.h''' return non-zero {{Cb|INTEGER}} on failure. | ''''stdio.h''' return non-zero {{Cb|INTEGER}} on failure. | ||
{{Cb|FUNCTION}} remove% (filename {{Cb|AS}} {{Cb|STRING}}) 'removes specified file | {{Cb|FUNCTION}} remove% (filename {{Cb|AS}} {{Cb|STRING}}) 'removes specified file | ||
{{Cb|FUNCTION}} rename% (oldname {{Cb|AS}} {{Cb|STRING}}, newname {{Cb|AS}} {{Cb|STRING}}) 'renames file oldname to newname. | {{Cb|FUNCTION}} rename% (oldname {{Cb|AS}} {{Cb|STRING}}, newname {{Cb|AS}} {{Cb|STRING}}) 'renames file oldname to newname. | ||
''''stdlib.h''' | ''''stdlib.h''' | ||
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''''string.h''' | ''''string.h''' | ||
{{Cb|FUNCTION}} memchr& (BasePtr, value {{Cb|AS}} {{Cb|STRING}}, {{Cb|BYVAL}} Bytes {{Cb|AS}} {{Cb|LONG}}) ' returns pointer to first | {{Cb|FUNCTION}} memchr& (BasePtr, value {{Cb|AS}} {{Cb|STRING}}, {{Cb|BYVAL}} Bytes {{Cb|AS}} {{Cb|LONG}}) ' returns pointer to first | ||
'occurance of string in a set number of bytes at the memory block pointer designated. | 'occurance of string in a set number of bytes at the memory block pointer designated. | ||
{{Cb|FUNCTION}} memcmp (pointer1, pointer2, {{Cb|BYVAL}} Bytes {{Cb|AS}} {{Cb|_UNSIGNED}} {{Cb|LONG}} ) | {{Cb|FUNCTION}} memcmp (pointer1, pointer2, {{Cb|BYVAL}} Bytes {{Cb|AS}} {{Cb|_UNSIGNED}} {{Cb|LONG}} ) | ||
'compares pointer bytes. Returns 0 if match, positive if ptr1>ptr2, negative if ptr1<ptr2 | 'compares pointer bytes. Returns 0 if match, positive if ptr1>ptr2, negative if ptr1<ptr2 | ||
{{Cb|SUB}} memcpy (DestPtr, SourcePtr, {{Cb|BYVAL}} Bytes {{Cb|AS}} {{Cb|_UNSIGNED}} {{Cb|LONG}}) | {{Cb|SUB}} memcpy (DestPtr, SourcePtr, {{Cb|BYVAL}} Bytes {{Cb|AS}} {{Cb|_UNSIGNED}} {{Cb|LONG}}) | ||
'copies the number of source bytes from source pointer to destination pointer | 'copies the number of source bytes from source pointer to destination pointer | ||
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'moves a variable pointer value to destination from a source as a type byte size. | 'moves a variable pointer value to destination from a source as a type byte size. | ||
{{Cb|SUB}} memset (pointer {{Cb|AS}} '''var_{{Cb|TYPE}}''', {{Cb|BYVAL}} value {{Cb|AS}} {{Cb|_UNSIGNED}} {{Cb|LONG}}, {{Cb|BYVAL}} nbytes {{Cb|AS}} {{Cb|_UNSIGNED}} {{Cb|LONG}}) | {{Cb|SUB}} memset (pointer {{Cb|AS}} '''var_{{Cb|TYPE}}''', {{Cb|BYVAL}} value {{Cb|AS}} {{Cb|_UNSIGNED}} {{Cb|LONG}}, {{Cb|BYVAL}} nbytes {{Cb|AS}} {{Cb|_UNSIGNED}} {{Cb|LONG}}) | ||
'The '''var_{{Cb|TYPE}}''' MUST match the type of the argument passed! Fills a block of memory. Sets the | 'The '''var_{{Cb|TYPE}}''' MUST match the type of the argument passed! Fills a block of memory. Sets the | ||
'first bytes of the block of memory at pointer to the specified value as a character. | 'first bytes of the block of memory at pointer to the specified value as a character. | ||
{{Cb|FUNCTION}} strcspn% (str1 {{Cb|AS}} {{Cb|STRING}}, str2 {{Cb|AS}} {{Cb|STRING}}) | {{Cb|FUNCTION}} strcspn% (str1 {{Cb|AS}} {{Cb|STRING}}, str2 {{Cb|AS}} {{Cb|STRING}}) | ||
'length of prefix of str1 consisting of characters not in str2. | 'length of prefix of str1 consisting of characters not in str2. | ||
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'str1<str2, zero if str1=str2, positive if str1>str2 | 'str1<str2, zero if str1=str2, positive if str1>str2 | ||
{{Cb|FUNCTION}} strncmp% (str1 {{Cb|AS}} {{Cb|STRING}}, str2 {{Cb|AS}} {{Cb|STRING}}, {{Cb|BYVAL}} Bytes {{Cb|AS}} {{Cb|INTEGER}})'compares first byte | {{Cb|FUNCTION}} strncmp% (str1 {{Cb|AS}} {{Cb|STRING}}, str2 {{Cb|AS}} {{Cb|STRING}}, {{Cb|BYVAL}} Bytes {{Cb|AS}} {{Cb|INTEGER}})'compares first byte | ||
'characters of str1 and str2, negative if str1<str2, 0 if str1=str2, positive if str1>str2 | 'characters of str1 and str2, negative if str1<str2, 0 if str1=str2, positive if str1>str2 | ||
{{Cb|SUB}} strncpy (dest {{Cb|AS}} {{Cb|STRING}}, source {{Cb|AS}} {{Cb|STRING}}, {{Cb|BYVAL}} Bytes {{Cb|AS}} {{Cb|INTEGER}}) 'Copies first | {{Cb|SUB}} strncpy (dest {{Cb|AS}} {{Cb|STRING}}, source {{Cb|AS}} {{Cb|STRING}}, {{Cb|BYVAL}} Bytes {{Cb|AS}} {{Cb|INTEGER}}) 'Copies first | ||
'bytes of source to destination. If source ends before number of bytes, dest padded with 0's | 'bytes of source to destination. If source ends before number of bytes, dest padded with 0's | ||
{{Cb|DECLARE LIBRARY|END DECLARE}} | {{Cb|DECLARE LIBRARY|END DECLARE}} | ||
{{TextEnd}} | {{TextEnd}} | ||
''Example 1:'' How to use the SUB '''memmove''' to transfer [[TYPE]] data when using Libraries. | ''Example 1:'' How to use the SUB '''memmove''' to transfer [[TYPE]] data when using Libraries. | ||
{{CodeStart}} | {{CodeStart}} | ||
{{Cl|TYPE}} a 'Note: the TYPE must be placed before the DECLARE LIBRARY if used in it! | {{Cl|TYPE}} a 'Note: the TYPE must be placed before the DECLARE LIBRARY if used in it! | ||
b {{Cl|AS}} {{Cl|DOUBLE}} | b {{Cl|AS}} {{Cl|DOUBLE}} | ||
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{{Cl|PRINT}} d(10).b | {{Cl|PRINT}} d(10).b | ||
{{Cl|PRINT}} d(10).c | {{Cl|PRINT}} d(10).c | ||
{{CodeEnd}} | {{CodeEnd}} | ||
{{OutputStart}}1.5 | {{OutputStart}}1.5 | ||
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''Example 2:'' Creating different '''memset''' functions for each variable type to be used. | ''Example 2:'' Creating different '''memset''' functions for each variable type to be used. | ||
{{CodeStart}} | {{CodeStart}} | ||
{{Cl|DECLARE LIBRARY}} | {{Cl|DECLARE LIBRARY}} | ||
{{Cl|FUNCTION}} memsetB& {{Cl|ALIAS}} '''memset''' (p {{Cl|AS}} {{Cl|_BYTE}}, {{Cl|BYVAL}} c {{Cl|AS}} {{Cl|_UNSIGNED}} {{Cl|LONG}}, {{Cl|BYVAL}} n {{Cl|AS}} {{Cl|_UNSIGNED}} {{Cl|LONG}}) | {{Cl|FUNCTION}} memsetB& {{Cl|ALIAS}} '''memset''' (p {{Cl|AS}} {{Cl|_BYTE}}, {{Cl|BYVAL}} c {{Cl|AS}} {{Cl|_UNSIGNED}} {{Cl|LONG}}, {{Cl|BYVAL}} n {{Cl|AS}} {{Cl|_UNSIGNED}} {{Cl|LONG}}) | ||
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res& = memsetB(Barray(1), 65, 5) | res& = memsetB(Barray(1), 65, 5) | ||
{{Cl|FOR...NEXT|FOR}} i = 1 {{Cl|TO}} 10 | {{Cl|FOR...NEXT|FOR}} i = 1 {{Cl|TO}} 10 | ||
{{Cl|PRINT}} Barray(i); 'display BYTE array decimal values | {{Cl|PRINT}} Barray(i); 'display BYTE array decimal values | ||
{{Cl|NEXT}} | {{Cl|NEXT}} | ||
PRINT: PRINT | PRINT: PRINT | ||
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{{Cl|FOR...NEXT|FOR}} i = 1 {{Cl|TO}} 10 | {{Cl|FOR...NEXT|FOR}} i = 1 {{Cl|TO}} 10 | ||
{{Cl|PRINT}} Larray(i); 'displays LONG array decimal values | {{Cl|PRINT}} Larray(i); 'displays LONG array decimal values | ||
{{Cl|NEXT}} i | {{Cl|NEXT}} i | ||
PRINT | PRINT | ||
{{Cl|FOR...NEXT|FOR}} i = 1 {{Cl|TO}} 10 | {{Cl|FOR...NEXT|FOR}} i = 1 {{Cl|TO}} 10 | ||
{{Cl|PRINT}} " " + HEX$(Larray(i)); 'displays each byte value &H41 = 65 | {{Cl|PRINT}} " " + HEX$(Larray(i)); 'displays each byte value &H41 = 65 | ||
{{Cl|NEXT}} i | {{Cl|NEXT}} i | ||
{{CodeEnd}} | {{CodeEnd}} | ||
{{ | {{Small|Code example by stylin}} | ||
: ''Explanation:'' When 5 bytes are put into a 4 byte LONG array value, the fifth byte goes into the next array element. | : ''Explanation:'' When 5 bytes are put into a 4 byte LONG array value, the fifth byte goes into the next array element. | ||
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==Bit Casting== | == Bit Casting == | ||
Header file: ''Cast.h'' | Header file: ''Cast.h'' | ||
{{TextStart}} | {{TextStart}} | ||
float bitcast(int t) | float bitcast(int t) | ||
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} | } | ||
{{TextEnd}} | {{TextEnd}} | ||
{{ | {{Small|Courtesy of Darth Who}} | ||
{{CodeStart}} | {{CodeStart}} | ||
{{Cl|DECLARE LIBRARY}} "Cast" | {{Cl|DECLARE LIBRARY}} "Cast" | ||
{{Cl|FUNCTION}} bitcast## ({{Cl|BYVAL}} t AS {{Cl|LONG}}) | {{Cl|FUNCTION}} bitcast## ({{Cl|BYVAL}} t AS {{Cl|LONG}}) | ||
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{{Cl|PRINT}} {{Cl|HEX$}}(Value&) | {{Cl|PRINT}} {{Cl|HEX$}}(Value&) | ||
{{Cl|PRINT}} bitcast##(Value&) | {{Cl|PRINT}} bitcast##(Value&) | ||
{{Cl|PRINT}} bitcast##(swap_endian(Value&)) | {{Cl|PRINT}} bitcast##(swap_endian(Value&)) | ||
{{CodeEnd}} | {{CodeEnd}} | ||
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==Fast Math== | == Fast Math == | ||
'''Fastmath.h''' header file. Library to speed up program calculations. Use with [[DECLARE LIBRARY]] "Fastmath" | '''Fastmath.h''' header file. Library to speed up program calculations. Use with [[DECLARE LIBRARY]] "Fastmath" | ||
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int shift3 = 16; | int shift3 = 16; | ||
float Fast_Sqrt(float val) //log2(n) approximation //this is not used in the LN approximation | float Fast_Sqrt(float val) //log2(n) approximation //this is not used in the LN approximation | ||
{ | { | ||
//float chk | //float chk | ||
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} vals; | } vals; | ||
vals.val = val; | vals.val = val; | ||
vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
// tmp is now an approximation to logbase2(val) | // tmp is now an approximation to logbase2(val) | ||
vals.tmp >>= 1; // divide by 2 | vals.tmp >>= 1; // divide by 2 | ||
vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
//vals.tmp = (1<<29) + (vals.tmp >> 1) - (1<<22) + 0x4C000; // I am working on a way to improve this value | //vals.tmp = (1<<29) + (vals.tmp >> 1) - (1<<22) + 0x4C000; // I am working on a way to improve this value | ||
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double Fast_Exp(double y) //2.87921 | double Fast_Exp(double y) //2.87921 | ||
{ | { | ||
double d; | double d; | ||
//*((int*)(&d) + 0) = 0; | //*((int*)(&d) + 0) = 0; | ||
*((int*)(&d) + 1) = (int)(1512775 * y + 1072632447); | *((int*)(&d) + 1) = (int)(1512775 * y + 1072632447); | ||
return d; | return d; | ||
} | } | ||
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} vals; | } vals; | ||
vals.val = x; | vals.val = x; | ||
vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
vals.tmp >>= 1; // divide by 2 | vals.tmp >>= 1; // divide by 2 | ||
vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
return 6.0F * x * (x - 1.0F) / (x + 4.0F * vals.val ++); | return 6.0F * x * (x - 1.0F) / (x + 4.0F * vals.val ++); | ||
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} vals; | } vals; | ||
vals.val = x; | vals.val = x; | ||
vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
vals.tmp >>= 1; // divide by 2 | vals.tmp >>= 1; // divide by 2 | ||
vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
return 6.0F * x * (x - 1.0F) / (x * (x + 4.0F * vals.val ++)); | return 6.0F * x * (x - 1.0F) / (x * (x + 4.0F * vals.val ++)); | ||
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} vals; | } vals; | ||
vals.val = x; | vals.val = x; | ||
vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
vals.tmp >>= 1; // divide by 2 | vals.tmp >>= 1; // divide by 2 | ||
vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
return 6.0F * x * (x - 1.0F) / (x * 2.302585092994F * (x + 4.0F * vals.val ++)); | return 6.0F * x * (x - 1.0F) / (x * 2.302585092994F * (x + 4.0F * vals.val ++)); | ||
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} vals; | } vals; | ||
vals.val = x; | vals.val = x; | ||
vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
vals.tmp >>= 1; // divide by 2 | vals.tmp >>= 1; // divide by 2 | ||
vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
return 6.0F * x * (x - 1.0F) / (x * 1.1447298858494F * (x + 4.0F * vals.val ++)); | return 6.0F * x * (x - 1.0F) / (x * 1.1447298858494F * (x + 4.0F * vals.val ++)); | ||
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if (x < 0) | if (x < 0) | ||
sine = (0.405284735F * x + 1.27323954F) * x; // I do so love horner form the alernative on the nex line is slower | sine = (0.405284735F * x + 1.27323954F) * x; // I do so love horner form the alernative on the nex line is slower | ||
//sine = 1.27323954 * x + .405284735 * x * x; | //sine = 1.27323954 * x + .405284735 * x * x; | ||
else | else | ||
sine = (1.27323954 - 0.405284735 * x) * x; | sine = (1.27323954 - 0.405284735 * x) * x; | ||
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if (x < 0) | if (x < 0) | ||
sine = (0.405284735F * x + 1.27323954F) * x; // I do so love horner form the alernative on the nex line is slower | sine = (0.405284735F * x + 1.27323954F) * x; // I do so love horner form the alernative on the nex line is slower | ||
//sine = 1.27323954 * x + .405284735 * x * x; | //sine = 1.27323954 * x + .405284735 * x * x; | ||
else | else | ||
sine = (1.27323954 - 0.405284735 * x) * x; | sine = (1.27323954 - 0.405284735 * x) * x; | ||
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{ | { | ||
atan = PIBY2_FLOAT - z/(z*z + 0.28f); | atan = PIBY2_FLOAT - z/(z*z + 0.28f); | ||
if ( y < 0.0f ) | if ( y < 0.0f ) | ||
return atan - PI_FLOAT; | return atan - PI_FLOAT; | ||
} | } | ||
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{ | { | ||
atan = PIBY2_FLOAT - z/(z*z + 0.28f); | atan = PIBY2_FLOAT - z/(z*z + 0.28f); | ||
if ( y < 0.0f ) | if ( y < 0.0f ) | ||
return atan - PI_FLOAT; | return atan - PI_FLOAT; | ||
} | } | ||
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} | } | ||
double Fast_ACos(double x) | double Fast_ACos(double x) | ||
{ | { | ||
float retval = (-0.69813170079773212F * x * x - 0.87266462599716477F) * x + 1.5707963267948966F; | float retval = (-0.69813170079773212F * x * x - 0.87266462599716477F) * x + 1.5707963267948966F; | ||
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} | } | ||
double Fast_ASin(double x) | double Fast_ASin(double x) | ||
{ | { | ||
float retval = (0.69813170079773212F * x * x + 0.87266462599716477F) * x; | float retval = (0.69813170079773212F * x * x + 0.87266462599716477F) * x; | ||
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double y = -x; | double y = -x; | ||
double k; | double k; | ||
double d; | double d; | ||
//*((int*)(&d) + 0) = 0; | //*((int*)(&d) + 0) = 0; | ||
*((int*)(&d) + 1) = (int)(1512775 * y + 1072632447); | *((int*)(&d) + 1) = (int)(1512775 * y + 1072632447); | ||
//*((int*)(&k) + 0) = 0; | //*((int*)(&k) + 0) = 0; | ||
*((int*)(&k) + 1) = (int)(1512775 * x + 1072632447); | *((int*)(&k) + 1) = (int)(1512775 * x + 1072632447); | ||
return (k - d) / 2; | return (k - d) / 2; | ||
} | } | ||
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double y = -x; | double y = -x; | ||
double k; | double k; | ||
double d; | double d; | ||
//*((int*)(&d) + 0) = 0; | //*((int*)(&d) + 0) = 0; | ||
*((int*)(&d) + 1) = (int)(1512775 * y + 1072632447); | *((int*)(&d) + 1) = (int)(1512775 * y + 1072632447); | ||
//*((int*)(&k) + 0) = 0; | //*((int*)(&k) + 0) = 0; | ||
*((int*)(&k) + 1) = (int)(1512775 * x + 1072632447); | *((int*)(&k) + 1) = (int)(1512775 * x + 1072632447); | ||
return (k + d) / 2; | return (k + d) / 2; | ||
} | } | ||
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} vals2; | } vals2; | ||
vals.val = plnx; | vals.val = plnx; | ||
vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
vals.tmp >>= 1; // divide by 2 | vals.tmp >>= 1; // divide by 2 | ||
vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
vals2.val = mlnx; | vals2.val = mlnx; | ||
vals2.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals2.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
vals2.tmp >>= 1; // divide by 2 | vals2.tmp >>= 1; // divide by 2 | ||
vals2.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals2.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
return (6.0F * mlnx * (mlnx - 1.0F) / (mlnx * (mlnx + 4.0F * vals.val ++)) - 6.0F * plnx * (plnx - 1.0F) / (plnx * (plnx + 4.0F * vals2.val ++))) * 0.5f; | return (6.0F * mlnx * (mlnx - 1.0F) / (mlnx * (mlnx + 4.0F * vals.val ++)) - 6.0F * plnx * (plnx - 1.0F) / (plnx * (plnx + 4.0F * vals2.val ++))) * 0.5f; | ||
Line 583: | Line 582: | ||
} val2s; | } val2s; | ||
vals.val = val + 1; | vals.val = val + 1; | ||
vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
// tmp is now an approximation to logbase2(val) | // tmp is now an approximation to logbase2(val) | ||
vals.tmp >>= 1; // divide by 2 | vals.tmp >>= 1; // divide by 2 | ||
vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
val2s.val = val - 1; | val2s.val = val - 1; | ||
val2s.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | val2s.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
// tmp is now an approximation to logbase2(val) | // tmp is now an approximation to logbase2(val) | ||
val2s.tmp >>= 1; // divide by 2 | val2s.tmp >>= 1; // divide by 2 | ||
val2s.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | val2s.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
zsqrz = val + vals.val * val2s.val; | zsqrz = val + vals.val * val2s.val; | ||
Line 604: | Line 603: | ||
} vals; | } vals; | ||
vals.val = x * x + 1; | vals.val = x * x + 1; | ||
vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
// tmp is now an approximation to logbase2(val) | // tmp is now an approximation to logbase2(val) | ||
vals.tmp >>= 1; // divide by 2 | vals.tmp >>= 1; // divide by 2 | ||
vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
return log(x + vals.val); | return log(x + vals.val); | ||
Line 626: | Line 625: | ||
} val2s; | } val2s; | ||
vals.val = 1 / x + 1; | vals.val = 1 / x + 1; | ||
vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
// tmp is now an approximation to logbase2(val) | // tmp is now an approximation to logbase2(val) | ||
vals.tmp >>= 1; // divide by 2 | vals.tmp >>= 1; // divide by 2 | ||
vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
val2s.val = 1 / x - 1; | val2s.val = 1 / x - 1; | ||
val2s.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | val2s.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
// tmp is now an approximation to logbase2(val) | // tmp is now an approximation to logbase2(val) | ||
val2s.tmp >>= 1; // divide by 2 | val2s.tmp >>= 1; // divide by 2 | ||
val2s.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | val2s.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
zsqrz = 1 / x + vals.val * val2s.val; | zsqrz = 1 / x + vals.val * val2s.val; | ||
Line 648: | Line 647: | ||
} vals; | } vals; | ||
vals.val = x * x + 1; | vals.val = x * x + 1; | ||
vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
// tmp is now an approximation to logbase2(val) | // tmp is now an approximation to logbase2(val) | ||
vals.tmp >>= 1; // divide by 2 | vals.tmp >>= 1; // divide by 2 | ||
vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
return log(x + vals.val); | return log(x + vals.val); | ||
Line 657: | Line 656: | ||
double Fast_ACotH(double valts) | double Fast_ACotH(double valts) | ||
{ | { | ||
double x = 1 / valts; | double x = 1 / valts; | ||
double mlnx = 1-x; | double mlnx = 1-x; | ||
double plnx = 1+x; | double plnx = 1+x; | ||
Line 671: | Line 670: | ||
} vals2; | } vals2; | ||
vals.val = plnx; | vals.val = plnx; | ||
vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
vals.tmp >>= 1; // divide by 2 | vals.tmp >>= 1; // divide by 2 | ||
vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
vals2.val = mlnx; | vals2.val = mlnx; | ||
vals2.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | vals2.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 | ||
vals2.tmp >>= 1; // divide by 2 | vals2.tmp >>= 1; // divide by 2 | ||
vals2.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | vals2.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; | ||
return (6.0F * mlnx * (mlnx - 1.0F) / (mlnx * (mlnx + 4.0F * vals.val ++)) - 6.0F * plnx * (plnx - 1.0F) / (plnx * (plnx + 4.0F * vals2.val ++))) / 2; | return (6.0F * mlnx * (mlnx - 1.0F) / (mlnx * (mlnx + 4.0F * vals.val ++)) - 6.0F * plnx * (plnx - 1.0F) / (plnx * (plnx + 4.0F * vals2.val ++))) / 2; | ||
Line 689: | Line 688: | ||
xrander = * ( long * ) &ftl; | xrander = * ( long * ) &ftl; | ||
ftl2 = 10000 * cos(x*3); | ftl2 = 10000 * cos(x*3); | ||
yrander = * ( long * ) &ftl2; | yrander = * ( long * ) &ftl2; | ||
ftl3 = 10000 * sin(x*2); | ftl3 = 10000 * sin(x*2); | ||
zrander = * ( long * ) &ftl3; | zrander = * ( long * ) &ftl3; | ||
if ((i == 0)||(j == 0)||( k == 0 )) | if ((i == 0)||(j == 0)||( k == 0 )) | ||
{ | { | ||
shift1 = 1; | shift1 = 1; | ||
Line 708: | Line 707: | ||
inline float Fast_Rand(void) //based off of George Marsaglia's XORSHIFT algorithms | inline float Fast_Rand(void) //based off of George Marsaglia's XORSHIFT algorithms | ||
{ // | { // | ||
xrander ^= xrander << shift1; | xrander ^= xrander << shift1; | ||
xrander ^= xrander >> shift2; | xrander ^= xrander >> shift2; | ||
xrander ^= xrander << shift3; | xrander ^= xrander << shift3; | ||
Line 721: | Line 720: | ||
{ | { | ||
float r = 1.0f; | float r = 1.0f; | ||
(int&)r |= ((int&)f & 0x80000000); | (int&)r |= ((int&)f & 0x80000000); | ||
return r; | return r; | ||
} | } | ||
Line 762: | Line 761: | ||
if (((int&)f & 0x7FFFFFFF)==0) | if (((int&)f & 0x7FFFFFFF)==0) | ||
{ | { | ||
return 0.0f; | return 0.0f; | ||
} | } | ||
else | else | ||
{ | { | ||
float r = 1.0f; | float r = 1.0f; | ||
(int&)r |= ((int&)f & 0x80000000); | (int&)r |= ((int&)f & 0x80000000); | ||
return r; | return r; | ||
} | } | ||
Line 777: | Line 776: | ||
// so if v is 1101000 (base 2), then c will be 3 | // so if v is 1101000 (base 2), then c will be 3 | ||
// NOTE: if 0 == v, then c = 31. | // NOTE: if 0 == v, then c = 31. | ||
if (v & 0x1) | if (v & 0x1) | ||
{ | { | ||
// special case for odd v (assumed to happen half of the time) | // special case for odd v (assumed to happen half of the time) | ||
Line 785: | Line 784: | ||
{ | { | ||
c = 1; | c = 1; | ||
if ((v & 0xffff) == 0) | if ((v & 0xffff) == 0) | ||
{ | { | ||
v >>= 16; | v >>= 16; | ||
c += 16; | c += 16; | ||
} | } | ||
if ((v & 0xff) == 0) | if ((v & 0xff) == 0) | ||
{ | { | ||
v >>= 8; | v >>= 8; | ||
c += 8; | c += 8; | ||
} | } | ||
if ((v & 0xf) == 0) | if ((v & 0xf) == 0) | ||
{ | { | ||
v >>= 4; | v >>= 4; | ||
c += 4; | c += 4; | ||
} | } | ||
if ((v & 0x3) == 0) | if ((v & 0x3) == 0) | ||
{ | { | ||
v >>= 2; | v >>= 2; | ||
c += 2; | c += 2; | ||
} | } | ||
c -= v & 0x1; | c -= v & 0x1; | ||
} | } | ||
return c; | return c; | ||
} | } | ||
Line 843: | Line 842: | ||
{ | { | ||
return x & (x - 1); | return x & (x - 1); | ||
} | } | ||
{{TextEnd}} | {{TextEnd}} | ||
{{ | {{Small|Library created by DarthWho}} | ||
Line 852: | Line 851: | ||
''Example 1:'' Using '''trailzcount''' to speed up the process of finding the prime factors of a number. | ''Example 1:'' Using '''trailzcount''' to speed up the process of finding the prime factors of a number. | ||
{{CodeStart}} | {{CodeStart}} | ||
{{Cl|DECLARE LIBRARY}} "fastmath" | {{Cl|DECLARE LIBRARY}} "fastmath" | ||
{{Cl|FUNCTION}} TrailZCount% {{Cl|ALIAS}} Misc_TrailZCount ({{Cl|BYVAL}} vals {{Cl|AS}} {{Cl|LONG}}) | {{Cl|FUNCTION}} TrailZCount% {{Cl|ALIAS}} Misc_TrailZCount ({{Cl|BYVAL}} vals {{Cl|AS}} {{Cl|LONG}}) | ||
Line 873: | Line 872: | ||
c& = c& + 1 | c& = c& + 1 | ||
{{Cl|WEND}} | {{Cl|WEND}} | ||
{{Cl|PRINT}} | {{Cl|PRINT}} | ||
{{CodeEnd}} | {{CodeEnd}} | ||
Line 905: | Line 904: | ||
{{Cl|PRINT}} "error found in data packet"; i | {{Cl|PRINT}} "error found in data packet"; i | ||
{{Cl|END IF}} | {{Cl|END IF}} | ||
{{Cl|NEXT}} | {{Cl|NEXT}} | ||
{{CodeEnd}} | {{CodeEnd}} | ||
<p style="text-align: center">([[#toc|Return to Table of Contents]])</p> | <p style="text-align: center">([[#toc|Return to Table of Contents]])</p> | ||
{{PageSeeAlso}} | |||
* [[DECLARE LIBRARY]], [[BYVAL]] | * [[DECLARE LIBRARY]], [[BYVAL]] | ||
* [[_OFFSET]], [[_OFFSET (function)]] {{ | * [[_OFFSET]], [[_OFFSET (function)]] {{Text|(lp, ptr and p names)}} | ||
* [[DLL Libraries]], [[Windows Libraries]] | * [[DLL Libraries]], [[Windows Libraries]] | ||
* [[Libraries#C++_Variable_Types|C++ Variable Types]] | * [[Libraries#C++_Variable_Types|C++ Variable Types]] | ||
{{ | {{PageReferences}} |
Latest revision as of 13:19, 19 November 2024
QB64 uses C++ to compile a BAS program into an executable program. The following is a list of the C FUNCTIONs that can be used.
Note: C++ Header files should be placed in the QB64 folder and are not required after a program is compiled.
C++ Variable Types C Name Description Size QB64 Type char Character or small integer. 1 byte _BYTE short int Short Integer(Word) 2 byte INTEGER int Integer(Dword) 4 byte LONG long int Int32, Long integer or Long 4 byte LONG long long Long long (Qword) 8 byte _INTEGER64 bool Boolean value true or false. 1 byte _BYTE float Floating point number 4 byte SINGLE double Double precision floating. 8 byte DOUBLE long double Long double precision float 10 byte _FLOAT wchar_t Wide character(Unicode) 2 or 4 PVOID void pointer(void *) ANY _OFFSET |
C Functions and Subs
DECLARE LIBRARY 'ctime.h FUNCTION clock () 'arithmetic type elapsed processor representing time. FUNCTION difftime# (BYVAL time2 AS _UNSIGNED LONG, BYVAL time1 AS _UNSIGNED LONG) 'seconds between time2 and time1 'ctype.h FUNCTION isalnum% (BYVAL c AS INTEGER) 'is an alphabet letter(isalpha(c) or isdigit(c)) FUNCTION isalpha% (BYVAL c AS INTEGER) 'is letter (isupper(c) or islower(c)) FUNCTION isdigit% (BYVAL c AS INTEGER) 'is a decimal digit FUNCTION isgraph% (BYVAL c AS INTEGER) 'is a printing character other than space FUNCTION islower% (BYVAL c AS INTEGER) 'is a lower-case letter FUNCTION isprint% (BYVAL c AS INTEGER) 'is printing character. ASCII: &H20 (" ") to &H7E (~) FUNCTION ispunct% (BYVAL c AS INTEGER) 'is printing character other than space, letter, digit FUNCTION isspace% (BYVAL c AS INTEGER) 'is space, formfeed, newline, return, tab, vertical tab FUNCTION isupper% (BYVAL c AS INTEGER) 'is upper-case letter FUNCTION isxdigit% (BYVAL c AS INTEGER)'is a hexdecimal digit character(0 thru 9 or A thru F) FUNCTION tolower% (BYVAL c AS INTEGER) 'return lower-case equivalent FUNCTION toupper% (BYVAL c AS INTEGER) 'return upper-case equivalent 'math.h FUNCTION acos# (BYVAL x AS DOUBLE) FUNCTION asin# (BYVAL x AS DOUBLE) FUNCTION atan# (BYVAL x AS DOUBLE) 'arc tangent of x does not designate the quadrant FUNCTION atan2# (BYVAL y AS DOUBLE, BYVAL x AS DOUBLE) 'arc-tangent of y/x designates quadrant FUNCTION cosh# (BYVAL x AS DOUBLE) FUNCTION ldexp# (BYVAL base AS DOUBLE, BYVAL exponent AS INTEGER) 'base times 2 to exponent FUNCTION pow# (BYVAL base AS DOUBLE, BYVAL exponent AS DOUBLE) 'base number raised to exponent FUNCTION sinh# (BYVAL x AS DOUBLE) FUNCTION tanh# (BYVAL x AS DOUBLE) 'stdio.h return non-zero INTEGER on failure. FUNCTION remove% (filename AS STRING) 'removes specified file FUNCTION rename% (oldname AS STRING, newname AS STRING) 'renames file oldname to newname. 'stdlib.h FUNCTION atol& (str AS STRING) 'convert string to Long (errno not necessarily set) FUNCTION atoi% (str AS STRING) 'convert string to Integer (errno not necessarily set) FUNCTION atof# (str AS STRING) 'convert string to Double (errno not necessarily set) FUNCTION rand& () 'random number SUB srand (BYVAL seed AS _UNSIGNED LONG) 'random seeded number 'string.h FUNCTION memchr& (BasePtr, value AS STRING, BYVAL Bytes AS LONG) ' returns pointer to first 'occurance of string in a set number of bytes at the memory block pointer designated. FUNCTION memcmp (pointer1, pointer2, BYVAL Bytes AS _UNSIGNED LONG ) 'compares pointer bytes. Returns 0 if match, positive if ptr1>ptr2, negative if ptr1<ptr2 SUB memcpy (DestPtr, SourcePtr, BYVAL Bytes AS _UNSIGNED LONG) 'copies the number of source bytes from source pointer to destination pointer SUB memmove (DestPtr AS var_TYPE, SourcePtr AS var_TYPE, BYVAL bytesize AS LONG) 'moves a variable pointer value to destination from a source as a type byte size. SUB memset (pointer AS var_TYPE, BYVAL value AS _UNSIGNED LONG, BYVAL nbytes AS _UNSIGNED LONG) 'The var_TYPE MUST match the type of the argument passed! Fills a block of memory. Sets the 'first bytes of the block of memory at pointer to the specified value as a character. FUNCTION strcspn% (str1 AS STRING, str2 AS STRING) 'length of prefix of str1 consisting of characters not in str2. FUNCTION strcmp% (str1 AS STRING, str2 AS STRING) 'compares str1 with str2, negative value if 'str1<str2, zero if str1=str2, positive if str1>str2 FUNCTION strncmp% (str1 AS STRING, str2 AS STRING, BYVAL Bytes AS INTEGER)'compares first byte 'characters of str1 and str2, negative if str1<str2, 0 if str1=str2, positive if str1>str2 SUB strncpy (dest AS STRING, source AS STRING, BYVAL Bytes AS INTEGER) 'Copies first 'bytes of source to destination. If source ends before number of bytes, dest padded with 0's END DECLARE |
Example 1: How to use the SUB memmove to transfer TYPE data when using Libraries.
TYPE a 'Note: the TYPE must be placed before the DECLARE LIBRARY if used in it! b AS DOUBLE c AS LONG END TYPE DECLARE LIBRARY SUB memmove (Dest AS a, Source AS a, BYVAL bytesize AS LONG) END DECLARE DIM d(10) AS a d(0).b = 1.5 d(0).c = 99 memmove d(10), d(0), LEN(d()) 'LEN gives the total byte size of the TYPE PRINT d(10).b PRINT d(10).c |
1.5 99 |
- Explanation: When a TYPE variable is moved to another variable or array index, all TYPE dot values are moved with it.
Example 2: Creating different memset functions for each variable type to be used.
DECLARE LIBRARY FUNCTION memsetB& ALIAS memset (p AS _BYTE, BYVAL c AS _UNSIGNED LONG, BYVAL n AS _UNSIGNED LONG) FUNCTION memsetI& ALIAS memset (p AS INTEGER, BYVAL c AS _UNSIGNED LONG, BYVAL n AS _UNSIGNED LONG) FUNCTION memsetL& ALIAS memset (p AS LONG, BYVAL c AS _UNSIGNED LONG, BYVAL n AS _UNSIGNED LONG) END DECLARE DIM Barray(1 TO 10) AS _BYTE res& = memsetB(Barray(1), 65, 5) FOR i = 1 TO 10 PRINT Barray(i); 'display BYTE array decimal values NEXT PRINT: PRINT DIM Larray(1 TO 10) AS LONG res& = memsetL(Larray(1), 65, 5) FOR i = 1 TO 10 PRINT Larray(i); 'displays LONG array decimal values NEXT i PRINT FOR i = 1 TO 10 PRINT " " + HEX$(Larray(i)); 'displays each byte value &H41 = 65 NEXT i |
- Explanation: When 5 bytes are put into a 4 byte LONG array value, the fifth byte goes into the next array element.
Bit Casting
Header file: Cast.h
float bitcast(int t) { return *(float*)&t; } int swap_endian(unsigned int k) { return (k>>24)|((k<<8) & 0x00FF0000)|((k>>8) & 0x0000FF00)|(k<<24); } |
DECLARE LIBRARY "Cast" FUNCTION bitcast## (BYVAL t AS LONG) FUNCTION swap_endian (BYVAL k AS _UNSIGNED LONG) END DECLARE Value& = &HE7750340 PRINT HEX$(Value&) PRINT bitcast##(Value&) PRINT bitcast##(swap_endian(Value&)) |
Fast Math
Fastmath.h header file. Library to speed up program calculations. Use with DECLARE LIBRARY "Fastmath"
using namespace std; unsigned long xrander=123456789, yrander=362436069, zrander = 521288629; unsigned long trander; double compbase = 2.3025850929940456840179914546844d; double basecomp = 1.0d; int shift1 = 1; int shift2 = 5; int shift3 = 16; float Fast_Sqrt(float val) //log2(n) approximation //this is not used in the LN approximation { //float chk union { int tmp; float val; } vals; vals.val = val; vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 // tmp is now an approximation to logbase2(val) vals.tmp >>= 1; // divide by 2 vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; //vals.tmp = (1<<29) + (vals.tmp >> 1) - (1<<22) + 0x4C000; // I am working on a way to improve this value // that represents (e/2)-64 but want e/2 return vals.val; } float Fast_InvSqrt( float number ) // originally by Silicon Graphics slightly higher accuracy variant below. { long i; float x2, y; const float threehalfs = 1.5F; x2 = number * 0.5F; y = number; i = * ( long * ) &y; // evil floating point bit level hacking [sic] i = 0x5f375a86 - ( i >> 1 ); // what the fuck? [sic] original silicon graphics constant: 0x5f3759df y = * ( float * ) &i; y = y * ( threehalfs - ( x2 * y * y ) ); // 1st iteration //y = y * ( threehalfs - ( x2 * y * y ) ); // 2nd iteration, this can be removed return y; } double Fast_Pow(double a, double b) //fastpower originally developed by Martin Ankerl { int tmp = (*(1 + (int *)&a)); int tmp2 = (int)(b * (tmp - 1072632447) + 1072632447); double p = 0.0; *(1 + (int * )&p) = tmp2; //p = p * a / 2.71828F ; failed attempt to auto correct the accuracy return tmp; } double Fast_Exp(double y) //2.87921 { double d; //*((int*)(&d) + 0) = 0; *((int*)(&d) + 1) = (int)(1512775 * y + 1072632447); return d; } double Fast_XLnX(double x) //Borchardt's algorithm only accurate close to the origin { union { int tmp; float val; } vals; vals.val = x; vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 vals.tmp >>= 1; // divide by 2 vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; return 6.0F * x * (x - 1.0F) / (x + 4.0F * vals.val ++); } double Fast_LnX(double x) { union { int tmp; float val; } vals; vals.val = x; vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 vals.tmp >>= 1; // divide by 2 vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; return 6.0F * x * (x - 1.0F) / (x * (x + 4.0F * vals.val ++)); } double Fast_Log10 (double x) { union { int tmp; float val; } vals; vals.val = x; vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 vals.tmp >>= 1; // divide by 2 vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; return 6.0F * x * (x - 1.0F) / (x * 2.302585092994F * (x + 4.0F * vals.val ++)); } double Fast_LogPi (double x) { union { int tmp; float val; } vals; vals.val = x; vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 vals.tmp >>= 1; // divide by 2 vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; return 6.0F * x * (x - 1.0F) / (x * 1.1447298858494F * (x + 4.0F * vals.val ++)); } double Fast_Sin(double x) //currently only supports range between -3 * pi and 3 * pi { double sine; //always wrap input angle to -PI..PI I know it is abit of a compicated algorithm but hey int Piintdiv = x * 0.15915494309189F; double Pix = x - 6.2831853071796F * Piintdiv; if (Pix < -3.14159265F) Pix += 6.28318531F; else if (Pix > 3.14159265F) Pix -= 6.28318531F; if (Pix < 0) sine = (0.405284735F * Pix + 1.27323954F) * Pix; //sine = 1.27323954 * x + .405284735 * x * x; // I do so love horner form else sine = (1.27323954 - 0.405284735 * Pix) * Pix; return sine; } double Fast_Cos(double x) { double Cosine; int Piintdiv = x * 0.15915494309189F; double Pix = x - 6.2831853071796F * Piintdiv; Pix += 1.57079632; if (Pix < -3.14159265F) Pix += 6.28318531F; else if (Pix > 3.14159265F) Pix -= 6.28318531F; if (Pix < 0) Cosine = (1.27323954 + 0.405284735 * Pix) * Pix; else Cosine = (1.27323954 - 0.405284735 * Pix) * Pix; return Cosine; } double Fast_Tan(double x) { double Cosine; double sine; //always wrap input angle to -PI..PI if (x < -3.14159265F) x += 6.28318531F; else if (x > 3.14159265F) x -= 6.28318531F; //compute sine if (x < 0) sine = (0.405284735F * x + 1.27323954F) * x; // I do so love horner form the alernative on the nex line is slower //sine = 1.27323954 * x + .405284735 * x * x; else sine = (1.27323954 - 0.405284735 * x) * x; x += 1.57079632; if (x < 0) Cosine = (1.27323954 + 0.405284735 * x) * x; else Cosine = (1.27323954 - 0.405284735 * x) * x; return sine / Cosine; } double Fast_CoTan(double x) { double Cosine; double sine; //always wrap input angle to -PI..PI if (x < -3.14159265F) x += 6.28318531F; else if (x > 3.14159265F) x -= 6.28318531F; //compute sine if (x < 0) sine = (0.405284735F * x + 1.27323954F) * x; // I do so love horner form the alernative on the nex line is slower //sine = 1.27323954 * x + .405284735 * x * x; else sine = (1.27323954 - 0.405284735 * x) * x; x += 1.57079632; if (x < 0) Cosine = (1.27323954 + 0.405284735 * x) * x; else Cosine = (1.27323954 - 0.405284735 * x) * x; return Cosine / sine; } double Fast_Sec(double x) { double Cosine; x += 1.57079632; if (x > 3.14159265) x -= 6.28318531; if (x < 0) Cosine = (1.27323954 + 0.405284735 * x) * x; else Cosine = (1.27323954 - 0.405284735 * x) * x; return 1 / Cosine; } double Fast_Csc(double x) { double sine; //always wrap input angle to -PI..PI if (x < -3.14159265F) x += 6.28318531F; else if (x > 3.14159265F) x -= 6.28318531F; //compute sine if (x < 0) sine = (0.405284735F * x + 1.27323954F) * x; //sine = 1.27323954 * x + .405284735 * x * x; // I do so love horner form else sine = (1.27323954 - 0.405284735 * x) * x; return 1 / sine; } // |error| < 0.005 float Fast_Atan2(float y, float x) { float PIBY2_FLOAT = 1.5707963F; float PI_FLOAT = 3.14159265F; if (x == 0.0f) { if (y > 0.0f) return PIBY2_FLOAT; if (y == 0.0f) return 0.0f; return 0 - PIBY2_FLOAT; } float atan; float z = y/x; if ( fabsf( z ) < 1.0f ) { atan = z/(1.0f + 0.28f*z*z); if ( x < 0.0f ) { if ( y < 0.0f ) return atan - PI_FLOAT; return atan + PI_FLOAT; } } else { atan = PIBY2_FLOAT - z/(z*z + 0.28f); if ( y < 0.0f ) return atan - PI_FLOAT; } return atan; } float Fast_Atan(float y) { float x = 1.0F; float PIBY2_FLOAT = 1.5707963F; float PI_FLOAT = 3.14159265F; float atan; float z = y/x; if (fabsf( z ) < 1.0f ) { atan = z/(1.0f + 0.28f*z*z); if ( x < 0.0f ) { if ( y < 0.0f ) return atan - PI_FLOAT; return atan + PI_FLOAT; } } else { atan = PIBY2_FLOAT - z/(z*z + 0.28f); if ( y < 0.0f ) return atan - PI_FLOAT; } return atan; } double Fast_ACos(double x) { float retval = (-0.69813170079773212F * x * x - 0.87266462599716477F) * x + 1.5707963267948966F; return retval; } double Fast_ASin(double x) { float retval = (0.69813170079773212F * x * x + 0.87266462599716477F) * x; return retval; } double Fast_SinH(double x) { double y = -x; double k; double d; //*((int*)(&d) + 0) = 0; *((int*)(&d) + 1) = (int)(1512775 * y + 1072632447); //*((int*)(&k) + 0) = 0; *((int*)(&k) + 1) = (int)(1512775 * x + 1072632447); return (k - d) / 2; } double Fast_CosH(double x) { double y = -x; double k; double d; //*((int*)(&d) + 0) = 0; *((int*)(&d) + 1) = (int)(1512775 * y + 1072632447); //*((int*)(&k) + 0) = 0; *((int*)(&k) + 1) = (int)(1512775 * x + 1072632447); return (k + d) / 2; } double Fast_TanH(double x) // from http://www.musicdsp.org/showone.php?id=238 { //double xt; if (x < -3) { return -1; } else if (x > 3) { return 1; } else { double xz = x * x; return x * (27 + xz) / (27 + 9 * xz); } //return xt } double Fast_ATanH(double x) { double mlnx = 1-x; double plnx = 1+x; union { int tmp; float val; } vals; union { int tmp; float val; } vals2; vals.val = plnx; vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 vals.tmp >>= 1; // divide by 2 vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; vals2.val = mlnx; vals2.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 vals2.tmp >>= 1; // divide by 2 vals2.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; return (6.0F * mlnx * (mlnx - 1.0F) / (mlnx * (mlnx + 4.0F * vals.val ++)) - 6.0F * plnx * (plnx - 1.0F) / (plnx * (plnx + 4.0F * vals2.val ++))) * 0.5f; } double Fast_ACosH(double val) { double zsqrz; //float chk union { int tmp; float val; } vals; union { int tmp; float val; } val2s; vals.val = val + 1; vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 // tmp is now an approximation to logbase2(val) vals.tmp >>= 1; // divide by 2 vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; val2s.val = val - 1; val2s.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 // tmp is now an approximation to logbase2(val) val2s.tmp >>= 1; // divide by 2 val2s.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; zsqrz = val + vals.val * val2s.val; return log(zsqrz); } double Fast_ASinH(double x) { union { int tmp; float val; } vals; vals.val = x * x + 1; vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 // tmp is now an approximation to logbase2(val) vals.tmp >>= 1; // divide by 2 vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; return log(x + vals.val); } double Fast_ASecH(double x) { double zsqrz; //float chk union { int tmp; float val; } vals; union { int tmp; float val; } val2s; vals.val = 1 / x + 1; vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 // tmp is now an approximation to logbase2(val) vals.tmp >>= 1; // divide by 2 vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; val2s.val = 1 / x - 1; val2s.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 // tmp is now an approximation to logbase2(val) val2s.tmp >>= 1; // divide by 2 val2s.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; zsqrz = 1 / x + vals.val * val2s.val; return log(zsqrz); } double Fast_ACscH(double val) { double x = 1 / val; union { int tmp; float val; } vals; vals.val = x * x + 1; vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 // tmp is now an approximation to logbase2(val) vals.tmp >>= 1; // divide by 2 vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; return log(x + vals.val); } double Fast_ACotH(double valts) { double x = 1 / valts; double mlnx = 1-x; double plnx = 1+x; union { int tmp; float val; } vals; union { int tmp; float val; } vals2; vals.val = plnx; vals.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 vals.tmp >>= 1; // divide by 2 vals.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; vals2.val = mlnx; vals2.tmp -= 1<<23; // Remove last bit so 1.0 gives 1.0 vals2.tmp >>= 1; // divide by 2 vals2.tmp += 1<<29; // add 64 to exponent: (e+127)/2 =(e/2)+63; return (6.0F * mlnx * (mlnx - 1.0F) / (mlnx * (mlnx + 4.0F * vals.val ++)) - 6.0F * plnx * (plnx - 1.0F) / (plnx * (plnx + 4.0F * vals2.val ++))) / 2; } void Fast_RandInit(float x,int i,int j, int k) { float ftl; float ftl2; float ftl3; ftl = 10000 * sin(x*7); xrander = * ( long * ) &ftl; ftl2 = 10000 * cos(x*3); yrander = * ( long * ) &ftl2; ftl3 = 10000 * sin(x*2); zrander = * ( long * ) &ftl3; if ((i == 0)||(j == 0)||( k == 0 )) { shift1 = 1; shift2 = 5; shift3 = 16; } else { shift1 = i; //8 * sin(x) + 9; shift3 = k; //8 * cos(x) + 9; shift2 = j; //(shift1 + shift3) / 2; } } inline float Fast_Rand(void) //based off of George Marsaglia's XORSHIFT algorithms { // xrander ^= xrander << shift1; xrander ^= xrander >> shift2; xrander ^= xrander << shift3; trander = xrander; xrander = yrander; yrander = zrander; zrander = trander ^ xrander ^ yrander; return float (zrander)/4294967295; } inline float Fast_Sign(float f) { float r = 1.0f; (int&)r |= ((int&)f & 0x80000000); return r; } double High_ATanH(double x) { return (log(1 + x) - log(1 - x)) / 2; } double High_ACosH(double x) { return log(x + sqrt(x + 1) * sqrt(x - 1)); } double High_ASinH(double x) { return log(x + sqrt(x * x + 1)); } double High_ASecH(double x) { double xz = 1 / x; return log(sqrt(xz - 1) * sqrt(xz + 1) + xz); } double High_ACscH(double x) { return log(sqrt(1 + 1 / (x * x)) + 1 / x); } double High_ACotH(double x) { double xz = 1 / x; return (log(1 + xz) - log(1 - xz)) / 2; } inline float High_Sign(float f) { //this may or may not be used in QB64 in the future if (((int&)f & 0x7FFFFFFF)==0) { return 0.0f; } else { float r = 1.0f; (int&)r |= ((int&)f & 0x80000000); return r; } } int Misc_TrailZCount(unsigned int v) { //unsigned int v; // 32-bit word input to count zero bits on right unsigned int c; // c will be the number of zero bits on the right, // so if v is 1101000 (base 2), then c will be 3 // NOTE: if 0 == v, then c = 31. if (v & 0x1) { // special case for odd v (assumed to happen half of the time) c = 0; } else { c = 1; if ((v & 0xffff) == 0) { v >>= 16; c += 16; } if ((v & 0xff) == 0) { v >>= 8; c += 8; } if ((v & 0xf) == 0) { v >>= 4; c += 4; } if ((v & 0x3) == 0) { v >>= 2; c += 2; } c -= v & 0x1; } return c; } int Misc_Parity(int v)// is the number of 1 bits odd? true if so { //unsigned int v; // 32-bit word v ^= v >> 1; v ^= v >> 2; v = (v & 0x11111111U) * 0x11111111U; return (v >> 28) & 1; } int Misc_BitSet(int v) //u//nsigned int v; // count the number of bits set in v { unsigned int c; // c accumulates the total bits set in v for (c = 0; v; c++) { v &= v - 1; // clear the least significant bit set } return c; } long Misc_FloatToLong(float y) //1132462080 { return * ( long * ) &y; } float Misc_LongToFloat(long y) { return * ( float * ) &y; } long Misc_UnSetRMBit(long x) { return x & (x - 1); } |
Example 1: Using trailzcount to speed up the process of finding the prime factors of a number.
DECLARE LIBRARY "fastmath" FUNCTION TrailZCount% ALIAS Misc_TrailZCount (BYVAL vals AS LONG) END DECLARE INPUT "enter a number: ", xt& tabs = TrailZCount%(xt&) PRINT "the prime factors of"; xt&; " are:"; IF tabs THEN FOR i = 1 TO tabs PRINT 2; NEXT i END IF x& = xt& / (2 ^ tabs) c& = 3 WHILE c& <= x& WHILE x& MOD c& = 0 x& = x& / c& PRINT c&; WEND c& = c& + 1 WEND PRINT |
Example 2: Using parity to detect single bit errors simulated using unsetrmbit.
'parity checking code which may be used in order to detect a download error: 'will also use the bitset function to simulate a download error .bitset unsets the lowest set bit 'parity checking code which may be used in order to detect a download error: 'will also use the bitset function to simulate a download error .bitset unsets the lowest set bit DECLARE LIBRARY "fastmath" FUNCTION parity& ALIAS Misc_Parity (BYVAL val AS LONG) FUNCTION unsetrmbit& ALIAS Misc_UnSetRMBit (BYVAL vals AS LONG) END DECLARE TYPE DLDATA par AS _BIT dataa AS LONG END TYPE DIM values(1) 'here is where the data is created g& = 8 h& = 9 values.par(0) = parity&(g&) values.dataa(0) = g& values.par(1) = parity&(h&) values.dataa(1) = h& 'transfer and error in values.dataa(1) values.dataa(1) = unsetrmbit&(values.dataa(1)) 'checking for single bit errors in download FOR i = 0 TO 1 IF values.par(i) = parity&(values.dataa(i)) THEN PRINT "no single bit errors detected in in data packet"; i ELSE PRINT "error found in data packet"; i END IF NEXT |
See also
- DECLARE LIBRARY, BYVAL
- _OFFSET, _OFFSET (function) (lp, ptr and p names)
- DLL Libraries, Windows Libraries
- C++ Variable Types