STD/Mathlib Superior Performance

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Notes:

The following benchmarks figures between Sinectonalysis, the fastest third party software competitor, and TI’s rts.src library version 4.4 are in processor cycles, assuming 0-wait state SRAM for coefficients and a small memory compilation model. Parameters are passed on stack. Register model functions will run a few cycles faster, while large memory versions will have a 1-2 cycle penalty.
Two functions are provided with limited domain in order to enhance performance for [-¹/2,¹/2] subdomain, all other functions operate on full domains.
asin and acos are implemented differently on the C40 from Competitor’s or TI’s so that the faster path is used on a larger domain.STD/Mathlib asin and acos run in 26,27 cycles on the interval [-1/sqrt(2),+1/sqrt(2)] instead of interval [-1/2,+1/2]. Therefore the average time for Sinectonalysis functions is smaller than Competitor’s time although the minimum and maximum times for these functions are essentially the same.
Results with 7-9+ decimal digits of accuracy are maintained in STD/Mathlib as long as the results are kept in extended-precision registers. The competitor’s and TI’s libraries maintain 6-7 digits of accuracy.
The STD/Mathlib achieves maximum performance when “.const” section data is placed in 0WS RAM. If “.const” is placed in slow RAM the libraries incur only a minor performance penalty. For example, exp function will run 5 cycles slower if 1WS RAM is used.
No more than 15 words are needed by any one function for coefficient data.

PROCESSOR CYCLE COUNT

                                                                           
  FUNCTION   SINECTO    COMPETIT   TI C30    SINECTO   COMPETIT   TI C40   
             C30        ORS C30              C40       ORS C40             
                                                                           
  ldexp      11-11      N/A        >20       9-9       N/A        >20      
                                                                           
  frexp      12-12      N/A        >20       9-9       N/A        >20      
                                                                           
  floor      6-6        N/A        >20       6-6       N/A        >20      
                                                                           
  ceiling    8-8        N/A        >20       7-7       N/A        >20      
                                                                           
  loge       26-26      39-41      109-109   27-27     39-41      77-79    
                                                                           
  log2       25-25      N/A        N/A       27-27     N/A        N/A      
                                                                           
  log10      26-26      40-42      114-114   27-27     39-41      82-84    
                                                                           
  exp        21-21      37-37      123-132   21-21     35-35      95-96    
                                                                           
  exp2       20-20      N/A        N/A       20-20     N/A        N/A      
                                                                           
  exp10      21-21      39-39      N/A       21-21     35-35      N/A      
                                                                           
  pow        43-43      124-129    197-262   44-44     96-100     169-234  
                                                                           
  sin        22-23      32-37      66-82     21-22     31-31      65-82    
                                                                           
  fsin       16-16      26-26      N/A       15-15     26-26      N/A      
                                                                           
  cos        22-23      31-36      64-79     21-22     30-30      64-79    
                                                                           
  fcos       15-15      25-25      N/A       14-14     26-26      N/A      
                                                                           
  tan        40-40      55-60      110-128   28-28     37-37      82-99    
                                                                           
  cot        40-40      57-62      N/A       28-28     43-43      N/A      
                                                                           
  asin       26-56      26-73      93-151    26-43     26-41      62-84    
                                                                           
  acos       27-56      27-74      92-153    27-42     27-42      61-83    
                                                                           
  atan       27-37      37-67      84-175    27-29     37-44      55-92    
                                                                           
  atan2      56-59      81-111     151-259   39-45     57-66      97-151   
                                                                           
  acot       28-37      43-69      N/A       27-29     43-47      N/A      
                                                                           
  acot2      56-59      83-113     N/A       39-45     57-66      N/A      
                                                                           
  sqrt       28-28      40-41      48-48     16-16     18-18      24-24    
                                                                           
  invsqrt    27-27      38-39      N/A       14-14     15-15      N/A      
                                                                           
  sinh       14-41      52-87      75-176    14-35     30-61      48-122   
                                                                           
  cosh       29-45      42-83      162-163   30-36     57-58      108-109  
                                                                           
  tanh       13-49      57-86      77-210    13-38     33-61      50-147   
                                                                           
  coth       42-49      91-120     N/A       29-37     53-81      N/A      
                                                                           
  asinh      17-56      23-97      N/A       16-46     57-61      N/A      
                                                                           
  acosh      38-56      57-93      N/A       44-44     57-61      N/A      
                                                                           
  atanh      16-49      29-89      N/A       15-43     30-67      N/A      
                                                                           
  acoth      35-51      62-92      N/A       22-44     41-63      N/A

Ordering Guide

STD/Mathlib™ is available in C30 and C40 versions for single user and multiple user PC and workstation hosts.

"X" specifies host and media.

STD/Mathlib-ASM-C30-X - TMS320C30 library compatible with TI C tools.
STD/Mathlib -ASM-C40-X - TMS320C40 library compatible with TI C tools.
STD/Mathlib-ASM-C40-HL-X - TMS320C40 library for Helios™ environment.
STD/Mathlib-UM - User manual, ~30 pp.

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