From c9ca224fda4448c4705d3cdf4e5f1f54e43917c5 Mon Sep 17 00:00:00 2001 From: Zhihua Lai Date: Mon, 19 Jan 2026 09:58:40 +0000 Subject: [PATCH 1/2] DIfferent ways to compute prefix sum --- README.md | 1 + prefix-sum/Makefile | 31 ++++++++ prefix-sum/main.cpp | 171 ++++++++++++++++++++++++++++++++++++++++++ prefix-sum/prefix-sum | Bin 0 -> 235992 bytes prefix-sum/tests.sh | 5 ++ 5 files changed, 208 insertions(+) create mode 100644 prefix-sum/Makefile create mode 100644 prefix-sum/main.cpp create mode 100755 prefix-sum/prefix-sum create mode 100755 prefix-sum/tests.sh diff --git a/README.md b/README.md index 0c2819e..cc0db73 100644 --- a/README.md +++ b/README.md @@ -32,6 +32,7 @@ Examples include (and will expand to): * [integer-factorization](./integer-factorization/) * Encoding * [rot47](./rot47/) + * [prefix-sum](./prefix-sum/) * Data Structures * [map-with-unknown-key](./map-with-unknown-key/) * OOP diff --git a/prefix-sum/Makefile b/prefix-sum/Makefile new file mode 100644 index 0000000..ab8b3c0 --- /dev/null +++ b/prefix-sum/Makefile @@ -0,0 +1,31 @@ +# pull in shared compiler settings +include ../common.mk + +# per-example flags +# CXXFLAGS += -pthread + +## get it from the folder name +TARGET := $(notdir $(CURDIR)) +## all *.cpp files in this folder +SRCS := $(wildcard *.cpp) +OBJS := $(SRCS:.cpp=.o) + +all: $(TARGET) + +$(TARGET): $(OBJS) + $(CXX) $(CXXFLAGS) -o $@ $^ + +%.o: %.cpp + $(CXX) $(CXXFLAGS) -c $< -o $@ + +run: $(TARGET) + ./$(TARGET) $(ARGS) + +clean: + rm -f $(OBJS) $(TARGET) + +# Delegates to top-level Makefile +check-format: + $(MAKE) -f ../Makefile check-format DIR=$(CURDIR) + +.PHONY: all clean run check-format diff --git a/prefix-sum/main.cpp b/prefix-sum/main.cpp new file mode 100644 index 0000000..a09b0c1 --- /dev/null +++ b/prefix-sum/main.cpp @@ -0,0 +1,171 @@ +/** +Different ways to compute the prefix sum of a list of numbers. +*/ + +#include +#include +#include +#include +#include + +using std::vector; + +vector +compute_prefix_sum1(const vector& nums) +{ + if (nums.empty()) { + return {}; + } + vector prefix_sum(nums.size()); + prefix_sum[0] = nums[0]; + for (size_t i = 1; i < nums.size(); ++i) { + prefix_sum[i] = prefix_sum[i - 1] + nums[i]; + } + return prefix_sum; +} + +vector +compute_prefix_sum2(const vector& nums) +{ + if (nums.empty()) { + return {}; + } + vector prefix_sum(nums.size()); + inclusive_scan(nums.begin(), nums.end(), prefix_sum.begin(), std::plus()); + return prefix_sum; +} + +vector +compute_prefix_sum3(const vector& nums) +{ + if (nums.empty()) { + return {}; + } + vector prefix_sum(nums.size()); + partial_sum(nums.begin(), nums.end(), prefix_sum.begin()); + return prefix_sum; +} + +vector +compute_prefix_sum4(const vector& nums) +{ + if (nums.empty()) { + return {}; + } + + vector prefix_sum; + prefix_sum.reserve(nums.size()); + int sum = 0; + for (const auto& num : nums) { + sum += num; + prefix_sum.push_back(sum); + } + return prefix_sum; +} + +vector +compute_prefix_sum5(const vector& nums) +{ + if (nums.empty()) { + return {}; + } + + vector prefix_sum(nums.size()); + std::transform( + std::begin(nums), std::end(nums), std::begin(prefix_sum), [n = 0](int num) mutable { return n += num; }); + return prefix_sum; +} + +vector +compute_prefix_sum6(const vector& nums) +{ + if (nums.empty()) { + return {}; + } + + vector prefix_sum; + prefix_sum.reserve(nums.size()); + std::accumulate(nums.begin(), nums.end(), 0, [&prefix_sum](int acc, int num) { + int new_sum = acc + num; + prefix_sum.push_back(new_sum); + return new_sum; + }); + return prefix_sum; +} + +vector +compute_prefix_sum7(const vector& nums) +{ + if (nums.empty()) { + return {}; + } + + vector prefix_sum; + prefix_sum.reserve(nums.size()); + int sum = 0; + std::for_each(nums.begin(), nums.end(), [&prefix_sum, &sum](int num) { + sum += num; + prefix_sum.push_back(sum); + }); + return prefix_sum; +} + +vector +assert_equal(const vector& a, const vector& b) +{ + if (a.size() != b.size()) { + throw std::runtime_error("Vectors have different sizes"); + } + if (std::equal(a.begin(), a.end(), b.begin())) { + return a; + } + // if (std::any_of(a.begin(), a.end(), [&, i = 0](int val) mutable { + // return val != b[i++]; + // })) { + // throw std::runtime_error("Vectors differ"); + // } + // if (std::all_of(a.begin(), a.end(), [&, i = 0](int val) mutable { + // return val == b[i++]; + // })) { + // return a; + // } + throw std::runtime_error("Vectors differ"); +} + +int +main() +{ + vector nums = {1, 2, 3, 4, 5}; + vector prefix_sum_expected = {1, 3, 6, 10, 15}; + + // Method 1: simple loop implementation + auto prefix_sum1 = compute_prefix_sum1(nums); + assert_equal(prefix_sum1, prefix_sum_expected); + + // Method 2: using inclusive_scan + auto prefix_sum2 = compute_prefix_sum2(nums); + assert_equal(prefix_sum2, prefix_sum_expected); + + // Method 3: using partial_sum + auto prefix_sum3 = compute_prefix_sum3(nums); + assert_equal(prefix_sum3, prefix_sum_expected); + + // Method 4: using push_back in a loop + auto prefix_sum4 = compute_prefix_sum4(nums); + assert_equal(prefix_sum4, prefix_sum_expected); + + // Method 5: using transform with a mutable lambda + auto prefix_sum5 = compute_prefix_sum5(nums); + assert_equal(prefix_sum5, prefix_sum_expected); + + // Method 6: using accumulate with a lambda that updates a vector + auto prefix_sum6 = compute_prefix_sum6(nums); + assert_equal(prefix_sum6, prefix_sum_expected); + + // Method 7: using for_each with a lambda that updates a vector + auto prefix_sum7 = compute_prefix_sum7(nums); + assert_equal(prefix_sum7, prefix_sum_expected); + + std::cout << "All tests passed!" << std::endl; + return 0; +} \ No newline at end of file diff --git a/prefix-sum/prefix-sum b/prefix-sum/prefix-sum new file mode 100755 index 0000000000000000000000000000000000000000..c37414a7c3d99003b2af73420e913f5f1e2f00e1 GIT binary patch literal 235992 zcmeEv2Yggj+V{P8CYcF0$pj|!Hb{^TNeGaDNCF8=ASfzLKtl)tLJ2X2A}E0*z!+i! 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z1;i();lrC7CfL}h#xbx$FvxEkBrwV~i8s|#7w!Z$kGW9dc82)hdhP*kT9RNH&A;8u zdeT0zLP`D1^2NdSMF>-4$A6^Zx6huAQUaLfrharH$LAku`0aDQ6gBy@(mz`6`ux_9 zXP-UN1UtkNK{$-tseWl1o$sK{v*wL);^aRezKqJ zwDudYx*7p8(aQUq;kVBo#(t~c^4s)ZZ}tz$j0weANRH z`t{)d%p)QBpUF;jGr&H7j~+s2pDtkn##&f@_IWp=DgJ!~-@`mDonb5CUzFkRY543D zFR@ZTE6+Y3$naZ#j(v`8M(o;kW)Q`!vPrxU%{8gyGLwirFS$o_iR7oJIGr z0rOmmCneGHTfeS-&dtzg^{>wGFEV~%`#dPaVC#<+`+kQ1cg7EGpQ|jPd1i`3eF`|0 zg=zNA&zAMKSus|>eZ~+-E Date: Mon, 19 Jan 2026 09:59:26 +0000 Subject: [PATCH 2/2] Fix --- prefix-sum/main.cpp | 2 +- prefix-sum/prefix-sum | Bin 235992 -> 0 bytes 2 files changed, 1 insertion(+), 1 deletion(-) delete mode 100755 prefix-sum/prefix-sum diff --git a/prefix-sum/main.cpp b/prefix-sum/main.cpp index a09b0c1..873904a 100644 --- a/prefix-sum/main.cpp +++ b/prefix-sum/main.cpp @@ -168,4 +168,4 @@ main() std::cout << "All tests passed!" << std::endl; return 0; -} \ No newline at end of file +} diff --git a/prefix-sum/prefix-sum b/prefix-sum/prefix-sum deleted file mode 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