test/Tools/isac/ADDTESTS/course/SignalProcess/document/Build_Inverse_Z_Transform.tex
1.1 --- a/test/Tools/isac/ADDTESTS/course/SignalProcess/document/Build_Inverse_Z_Transform.tex Fri Jan 17 12:37:21 2020 +0100
1.2 +++ b/test/Tools/isac/ADDTESTS/course/SignalProcess/document/Build_Inverse_Z_Transform.tex Fri Jan 17 13:14:11 2020 +0100
1.3 @@ -1025,9 +1025,9 @@
1.4 \begin{verbatim}
1.5 val srls =
1.6 Rls{id = "srls_InverseZTransform",
1.7 - rules = [Calc("Rational.get_numerator",
1.8 + rules = [Num_Calc("Rational.get_numerator",
1.9 eval_get_numerator "Rational.get_numerator"),
1.10 - Calc("Partial_Fractions.factors_from_solution",
1.11 + Num_Calc("Partial_Fractions.factors_from_solution",
1.12 eval_factors_from_solution
1.13 "Partial_Fractions.factors_from_solution")]}
1.14 \end{verbatim}
1.15 @@ -2085,9 +2085,9 @@
1.16 \ \ \ \ \ \ \ \ \ rew{\isaliteral{5F}{\isacharunderscore}}ord\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}termlessI{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}termlessI{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.17 \ \ \ \ \ \ \ \ \ erls\ {\isaliteral{3D}{\isacharequal}}\ append{\isaliteral{5F}{\isacharunderscore}}rls\ {\isaliteral{22}{\isachardoublequote}}erls{\isaliteral{5F}{\isacharunderscore}}in{\isaliteral{5F}{\isacharunderscore}}srls{\isaliteral{5F}{\isacharunderscore}}InverseZTransform{\isaliteral{22}{\isachardoublequote}}\ e{\isaliteral{5F}{\isacharunderscore}}rls\isanewline
1.18 \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}for\ asm\ in\ NTH{\isaliteral{5F}{\isacharunderscore}}CONS\ {\isaliteral{2E}{\isachardot}}{\isaliteral{2E}{\isachardot}}{\isaliteral{2E}{\isachardot}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
1.19 -\ \ \ \ \ \ \ \ \ \ \ \ Calc\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Orderings{\isaliteral{2E}{\isachardot}}ord{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}less{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}eval{\isaliteral{5F}{\isacharunderscore}}equ\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}less{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.20 +\ \ \ \ \ \ \ \ \ \ \ \ Num_Calc\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Orderings{\isaliteral{2E}{\isachardot}}ord{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}less{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}eval{\isaliteral{5F}{\isacharunderscore}}equ\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}less{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.21 \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{2A}{\isacharasterisk}}{\isadigit{2}}nd\ NTH{\isaliteral{5F}{\isacharunderscore}}CONS\ pushes\ n{\isaliteral{2B}{\isacharplus}}{\isaliteral{2D}{\isacharminus}}{\isadigit{1}}\ into\ asms{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{29}{\isacharparenright}}\isanewline
1.22 -\ \ \ \ \ \ \ \ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Groups{\isaliteral{2E}{\isachardot}}plus{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}plus{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}binop\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}add{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}\isanewline
1.23 +\ \ \ \ \ \ \ \ \ \ \ \ Num_Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Groups{\isaliteral{2E}{\isachardot}}plus{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}plus{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}binop\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}add{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}\isanewline
1.24 \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
1.25 \ \ \ \ \ \ \ \ \ srls\ {\isaliteral{3D}{\isacharequal}}\ Erls{\isaliteral{2C}{\isacharcomma}}\ calc\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.26 \ \ \ \ \ \ \ \ \ rules\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5B}{\isacharbrackleft}}\isanewline
1.27 @@ -2096,25 +2096,25 @@
1.28 thm\ NTH{\isaliteral{5F}{\isacharunderscore}}CONS{}%
1.29 \endisaantiq
1.30 {\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.31 -\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Groups{\isaliteral{2E}{\isachardot}}plus{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}plus{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
1.32 +\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Num_Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Groups{\isaliteral{2E}{\isachardot}}plus{\isaliteral{5F}{\isacharunderscore}}class{\isaliteral{2E}{\isachardot}}plus{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ \isanewline
1.33 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ eval{\isaliteral{5F}{\isacharunderscore}}binop\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}add{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.34 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Thm\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}NTH{\isaliteral{5F}{\isacharunderscore}}NIL{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}num{\isaliteral{5F}{\isacharunderscore}}str\ %
1.35 \isaantiq
1.36 thm\ NTH{\isaliteral{5F}{\isacharunderscore}}NIL{}%
1.37 \endisaantiq
1.38 {\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.39 -\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Tools{\isaliteral{2E}{\isachardot}}lhs{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}lhs{\isaliteral{22}{\isachardoublequote}}eval{\isaliteral{5F}{\isacharunderscore}}lhs{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.40 -\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Tools{\isaliteral{2E}{\isachardot}}rhs{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}rhs{\isaliteral{22}{\isachardoublequote}}eval{\isaliteral{5F}{\isacharunderscore}}rhs{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.41 -\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Prog_Expr{\isaliteral{2E}{\isachardot}}argument{\isaliteral{27}{\isacharprime}}{\isaliteral{5F}{\isacharunderscore}}in{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.42 +\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Num_Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Tools{\isaliteral{2E}{\isachardot}}lhs{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}lhs{\isaliteral{22}{\isachardoublequote}}eval{\isaliteral{5F}{\isacharunderscore}}lhs{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.43 +\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Num_Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Tools{\isaliteral{2E}{\isachardot}}rhs{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\ eval{\isaliteral{5F}{\isacharunderscore}}rhs{\isaliteral{22}{\isachardoublequote}}eval{\isaliteral{5F}{\isacharunderscore}}rhs{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.44 +\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Num_Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Prog_Expr{\isaliteral{2E}{\isachardot}}argument{\isaliteral{27}{\isacharprime}}{\isaliteral{5F}{\isacharunderscore}}in{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.45 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ eval{\isaliteral{5F}{\isacharunderscore}}argument{\isaliteral{5F}{\isacharunderscore}}in\ {\isaliteral{22}{\isachardoublequote}}Prog_Expr{\isaliteral{2E}{\isachardot}}argument{\isaliteral{27}{\isacharprime}}{\isaliteral{5F}{\isacharunderscore}}in{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.46 -\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Rational{\isaliteral{2E}{\isachardot}}get{\isaliteral{5F}{\isacharunderscore}}denominator{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.47 +\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Num_Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Rational{\isaliteral{2E}{\isachardot}}get{\isaliteral{5F}{\isacharunderscore}}denominator{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.48 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ eval{\isaliteral{5F}{\isacharunderscore}}get{\isaliteral{5F}{\isacharunderscore}}denominator\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}get{\isaliteral{5F}{\isacharunderscore}}denominator{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.49 -\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Rational{\isaliteral{2E}{\isachardot}}get{\isaliteral{5F}{\isacharunderscore}}numerator{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.50 +\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Num_Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Rational{\isaliteral{2E}{\isachardot}}get{\isaliteral{5F}{\isacharunderscore}}numerator{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.51 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ eval{\isaliteral{5F}{\isacharunderscore}}get{\isaliteral{5F}{\isacharunderscore}}numerator\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}get{\isaliteral{5F}{\isacharunderscore}}numerator{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.52 -\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Partial{\isaliteral{5F}{\isacharunderscore}}Fractions{\isaliteral{2E}{\isachardot}}factors{\isaliteral{5F}{\isacharunderscore}}from{\isaliteral{5F}{\isacharunderscore}}solution{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.53 +\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Num_Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Partial{\isaliteral{5F}{\isacharunderscore}}Fractions{\isaliteral{2E}{\isachardot}}factors{\isaliteral{5F}{\isacharunderscore}}from{\isaliteral{5F}{\isacharunderscore}}solution{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ eval{\isaliteral{5F}{\isacharunderscore}}factors{\isaliteral{5F}{\isacharunderscore}}from{\isaliteral{5F}{\isacharunderscore}}solution\ \isanewline
1.55 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}factors{\isaliteral{5F}{\isacharunderscore}}from{\isaliteral{5F}{\isacharunderscore}}solution{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.56 -\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Partial{\isaliteral{5F}{\isacharunderscore}}Fractions{\isaliteral{2E}{\isachardot}}drop{\isaliteral{5F}{\isacharunderscore}}questionmarks{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.57 +\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Num_Calc{\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequote}}Partial{\isaliteral{5F}{\isacharunderscore}}Fractions{\isaliteral{2E}{\isachardot}}drop{\isaliteral{5F}{\isacharunderscore}}questionmarks{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.58 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ eval{\isaliteral{5F}{\isacharunderscore}}drop{\isaliteral{5F}{\isacharunderscore}}questionmarks\ {\isaliteral{22}{\isachardoublequote}}{\isaliteral{23}{\isacharhash}}drop{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{3F}{\isacharquery}}{\isaliteral{22}{\isachardoublequote}}{\isaliteral{29}{\isacharparenright}}\isanewline
1.59 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\isaliteral{5D}{\isacharbrackright}}{\isaliteral{2C}{\isacharcomma}}\isanewline
1.60 \ \ \ \ \ \ \ \ \ scr\ {\isaliteral{3D}{\isacharequal}}\ EmptyScr{\isaliteral{7D}{\isacharbraceright}}{\isaliteral{3B}{\isacharsemicolon}}\isanewline