From 664e952785743ad9f92f04901992623643c0d78c Mon Sep 17 00:00:00 2001 From: Perry Kivolowitz Date: Thu, 6 Apr 2023 18:47:47 -0500 Subject: [PATCH] new version of SINE --- projects/SINE/README.md | 83 +++++++++++++++++++++++++++----------- projects/SINE/README.pdf | Bin 115585 -> 118563 bytes projects/SINE/c_version.c | 27 +++++++------ 3 files changed, 74 insertions(+), 36 deletions(-) diff --git a/projects/SINE/README.md b/projects/SINE/README.md index 887be52..96ef142 100644 --- a/projects/SINE/README.md +++ b/projects/SINE/README.md @@ -17,7 +17,9 @@ sin x = x - x^3/3! + x^5/5! - x^7/7! ... Notice each term flips from addition to subtraction. -Notice each term is based on the odd integers starting at 1. +Notice each term is based on the odd integers starting at 1. While the +"1" case might look different, it is the same as all the others since +1 is just 1 to the first power divided by 1 factorial. ## Command line @@ -29,40 +31,76 @@ arguments are therefore required. be a double. * The number of terms to evaluate. The number of terms must lie between - 1 and 10 inclusive. + 1 and 10 inclusive. Note the value of 10 as an upper bound in new. It + was 8. ## C version To assist your efforts, [here](./c_version.c) is a version of this -project written in C. +project written in C. This has been updated to print nice debugging +output which is not part of the project. -## Errors to stderr - -Error messages must be sent to `stderr`. - -If you are using the convergence macros to allow your program to build -on both Apple Silicon Mac OS and Linux, note the special casing needed -to deal with `stderr`. If this is you, compile the C version on Mac OS -with the `-S` compiler option to see the generated assembly language and -search for `stderr`. +This C version also demonstrates a different way of calculating the +toggle. This version flips the sign of the toggle by multiplying by -1. +The previous version used odd and even values of the term. ## Sample executions ```text -SINE % ./a.out 0 8 -The sine of 0.00 degrees is 0.000000 in radians. -SINE % ./a.out 90 8 -The sine of 90.00 degrees is 1.000000 in radians. -SINE % ./a.out 180 8 -The sine of 180.00 degrees is -0.000001 in radians. -SINE % ./a.out 180 82 +pk_taylor_series > gcc main.S -o a +pk_taylor_series > ./a 0 10 +The sine of 0.00 degrees is 0.00000000. +pk_taylor_series > ./a 30 10 +The sine of 30.00 degrees is 0.50000000. +pk_taylor_series > ./a 45 10 +The sine of 45.00 degrees is 0.70710678. +pk_taylor_series > ./a 90 10 +The sine of 90.00 degrees is 1.00000000. +pk_taylor_series > ./a 180 10 +The sine of 180.00 degrees is -0.00000000. +pk_taylor_series > ./a 360 10 +The sine of 360.00 degrees is -0.00104818. +pk_taylor_series > ./a 360 100 Number of terms is out of range. -SINE % ./a.out 180 -10 +pk_taylor_series > ./a 360 -1 Number of terms is out of range. -SINE % echo $? -1 +pk_taylor_series > ``` +## Floating point instructions I used + +These are the floating point instructions I used in my implementation. + +* fmov + +* scvtf + +* fmul + +* fdiv + +* fadd + +## How I broke up the program + +I have functions named: + +* main + +* HandleOptions + +* Factorial + +* IntegerPower - x to the nth power + +* ComputeSine - The main calculation + +* PrintAnswer + +* ConvertTheta - Wrap D2R + +* D2R - Degrees to radians + ## CSC3510 The following applies to Carthage College CSC3510 students. @@ -74,4 +112,3 @@ Work is to be done solo. ### What to hand in Just the .S file. **Your name must be at the top of the file.** - diff --git a/projects/SINE/README.pdf b/projects/SINE/README.pdf index eba12711eb02c9b1055d6d034189ccd2b2647f0f..dd10305f06f101fa6d5fe5e45f9115b46c5514bd 100644 GIT binary patch delta 90236 zcmZU4Q*bT}tZi-Ewr$(Su5H`>YTLGLyWO>I+q-t}f9B44I(b@aX1ygVGnpiT;gH37 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+double pi = 3.14159265358979323846; double D2R(double d) { return d * pi / 180.0; } -long Factorial(int n) { +double Factorial(int n) { long retval = 1; if (n > 0) { @@ -15,7 +16,7 @@ long Factorial(int n) { retval = retval * n--; } } - return retval; + return (double) retval; } double IntegerPower(double b, int e) { @@ -48,20 +49,20 @@ int main(int argc, char ** argv) { double r_angle = D2R(angle); + double toggle = 1.0; for (int term = 0, base = 1; term < terms; term++, base += 2) { - double toggle = (term & 1) ? -1.0 : 1.0; - + if (toggle > 0) { + printf("%+03.8e + %+03.8e / %+03.8e [term %2d is %+03.8e]\n", sin, IntegerPower(r_angle, base), + Factorial(base), term + 1, toggle * IntegerPower(r_angle, base) / Factorial(base)); + } else { + printf("%+03.8e - %+03.8e / %+03.8e [term %2d is %+03.8e]\n", sin, IntegerPower(r_angle, base), + Factorial(base), term + 1, toggle * IntegerPower(r_angle, base) / Factorial(base)); + } sin += toggle * IntegerPower(r_angle, base) / Factorial(base); - /* - if (toggle > 0) { - printf("adding %d p/b intermediate: %f\n", base, sin); - } else { - printf("subtracting %d p/b intermediate: %f\n", base, sin); - } - */ + toggle = toggle * -1; } - printf("The sine of %.2f degrees is %f in radians.\n", angle, sin); + printf("The sine of %0.4f degrees is %0.10f.\n", angle, sin); return 0; } \ No newline at end of file