XCORE SDK
XCORE Software Development Kit
modules
core
modules
xs3_math
lib_xs3_math
lib_xs3_math
api
q_format.h
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// Copyright 2022 XMOS LIMITED.
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// This Software is subject to the terms of the XMOS Public Licence: Version 1.
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// This Software is subject to the terms of the XMOS Public Licence: Version 1.
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#pragma once
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#define F0(N) F ## N
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#define F(N) F0(N)
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#define Q0(N) Q ## N
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#define Q(N) Q0(N)
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// Convert from floating point to fixed point Q format.
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// The number indicates the fractional bits or the position of the binary point
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#define Q31(f) (int)((signed long long)((f) * ((unsigned long long)1 << (31+20)) + (1<<19)) >> 20)
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#define Q30(f) (int)((signed long long)((f) * ((unsigned long long)1 << (30+20)) + (1<<19)) >> 20)
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#define Q29(f) (int)((signed long long)((f) * ((unsigned long long)1 << (29+20)) + (1<<19)) >> 20)
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#define Q28(f) (int)((signed long long)((f) * ((unsigned long long)1 << (28+20)) + (1<<19)) >> 20)
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#define Q27(f) (int)((signed long long)((f) * ((unsigned long long)1 << (27+20)) + (1<<19)) >> 20)
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#define Q26(f) (int)((signed long long)((f) * ((unsigned long long)1 << (26+20)) + (1<<19)) >> 20)
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#define Q25(f) (int)((signed long long)((f) * ((unsigned long long)1 << (25+20)) + (1<<19)) >> 20)
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#define Q24(f) (int)((signed long long)((f) * ((unsigned long long)1 << (24+20)) + (1<<19)) >> 20)
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#define Q23(f) (int)((signed long long)((f) * ((unsigned long long)1 << (23+20)) + (1<<19)) >> 20)
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#define Q22(f) (int)((signed long long)((f) * ((unsigned long long)1 << (22+20)) + (1<<19)) >> 20)
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#define Q21(f) (int)((signed long long)((f) * ((unsigned long long)1 << (21+20)) + (1<<19)) >> 20)
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#define Q20(f) (int)((signed long long)((f) * ((unsigned long long)1 << (20+20)) + (1<<19)) >> 20)
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#define Q19(f) (int)((signed long long)((f) * ((unsigned long long)1 << (19+20)) + (1<<19)) >> 20)
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#define Q18(f) (int)((signed long long)((f) * ((unsigned long long)1 << (18+20)) + (1<<19)) >> 20)
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#define Q17(f) (int)((signed long long)((f) * ((unsigned long long)1 << (17+20)) + (1<<19)) >> 20)
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#define Q16(f) (int)((signed long long)((f) * ((unsigned long long)1 << (16+20)) + (1<<19)) >> 20)
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#define Q15(f) (int)((signed long long)((f) * ((unsigned long long)1 << (15+20)) + (1<<19)) >> 20)
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#define Q14(f) (int)((signed long long)((f) * ((unsigned long long)1 << (14+20)) + (1<<19)) >> 20)
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#define Q13(f) (int)((signed long long)((f) * ((unsigned long long)1 << (13+20)) + (1<<19)) >> 20)
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#define Q12(f) (int)((signed long long)((f) * ((unsigned long long)1 << (12+20)) + (1<<19)) >> 20)
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#define Q11(f) (int)((signed long long)((f) * ((unsigned long long)1 << (11+20)) + (1<<19)) >> 20)
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#define Q10(f) (int)((signed long long)((f) * ((unsigned long long)1 << (10+20)) + (1<<19)) >> 20)
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#define Q9(f) (int)((signed long long)((f) * ((unsigned long long)1 << (9+20)) + (1<<19)) >> 20)
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#define Q8(f) (int)((signed long long)((f) * ((unsigned long long)1 << (8+20)) + (1<<19)) >> 20)
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// Convert from fixed point to double precision floating point
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// The number indicates the fractional bits or the position of the binary point
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#define F31(x) ((double)(x)/(double)(uint32_t)(1<<31))
// needs uint32_t cast because bit 31 is 1
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#define F30(x) ((double)(x)/(double)(1<<30))
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#define F29(x) ((double)(x)/(double)(1<<29))
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#define F28(x) ((double)(x)/(double)(1<<28))
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#define F27(x) ((double)(x)/(double)(1<<27))
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#define F26(x) ((double)(x)/(double)(1<<26))
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#define F25(x) ((double)(x)/(double)(1<<25))
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#define F24(x) ((double)(x)/(double)(1<<24))
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#define F23(x) ((double)(x)/(double)(1<<23))
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#define F22(x) ((double)(x)/(double)(1<<22))
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#define F21(x) ((double)(x)/(double)(1<<21))
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#define F20(x) ((double)(x)/(double)(1<<20))
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#define F19(x) ((double)(x)/(double)(1<<19))
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#define F18(x) ((double)(x)/(double)(1<<18))
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#define F17(x) ((double)(x)/(double)(1<<17))
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#define F16(x) ((double)(x)/(double)(1<<16))
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// short
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#define F15(x) ((double)(x)/(double)(1<<15))
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#define F14(x) ((double)(x)/(double)(1<<14))
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#define F13(x) ((double)(x)/(double)(1<<13))
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#define F12(x) ((double)(x)/(double)(1<<12))
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#define F11(x) ((double)(x)/(double)(1<<11))
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#define F10(x) ((double)(x)/(double)(1<<10))
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#define F9(x) ((double)(x)/(double)(1<<9))
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#define F8(x) ((double)(x)/(double)(1<<8))
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